| {"pdf": "arxiv_math/2503.05360_pg2.pdf", "page": 1, "id": "2503.05360_pg2_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05360", "math": "\\vdash \\phi \\quad \\text{iff} \\quad M \\vdash g \\tag{\\text{$\\dagger$}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04620_pg35.pdf", "page": 1, "id": "2503.04620_pg35_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04620", "math": "B_{kj} = \\begin{cases} \\delta_{k, j-1}, & \\text{for } k = 1, 2, \\ldots, 2r-1 ,\\\\ -\\dfrac{h_{j-1}}{\\tilde{a}_r - i \\tilde{b}_r}, & \\text{for } k = 2r, \\end{cases}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04620_pg35.pdf", "page": 1, "id": "2503.04620_pg35_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04620", "math": "\\mathbf{B} = \\begin{bmatrix} 0 & 1 & 0 & 0 \\\\ 0 & 0 & 1 & 0 \\\\ 0 & 0 & 0 & 1 \\\\ -\\frac{\\tilde{a}_2 + i \\tilde{b}_2}{\\tilde{a}_2 - i \\tilde{b}_2} & -\\frac{\\tilde{a}_1 + i \\tilde{b}_1}{\\tilde{a}_2 - i \\tilde{b}_2} & 0 & - \\frac{\\tilde{a}_1 - i \\tilde{b}_1}{\\tilde{a}_2 - i \\tilde{b}_2} \\end{bmatrix}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04620_pg35.pdf", "page": 1, "id": "2503.04620_pg35_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04620", "math": "\\tilde{a}_k = \\begin{cases} 0, & \\text{for } k = 0\\\\ b_k k, & \\text{for } k = 1, 2, \\ldots, r \\end{cases} \\quad \\text{and} \\quad \\tilde{b}_k = -a_k k, \\text{for } k = 1, 2, \\ldots, r", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08646_pg17.pdf", "page": 1, "id": "2503.08646_pg17_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08646", "math": "{\\mathrm{Span}\\left(\\Bigl\\{ u_i \\Bigr\\}_{i=2}^n\\right)=\\mathrm{Span}\\left(\\Bigl\\{ v_i^\\ast \\Bigr\\}_{i=2}^n\\right)}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08646_pg17.pdf", "page": 1, "id": "2503.08646_pg17_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08646", "math": "\\mu_u^\\perp=\\sum_{i=2}^n\\,\\left(u_i\\otimes u_i^\\dagger-u_i^\\ast \\otimes u_i^t\\right)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08646_pg17.pdf", "page": 1, "id": "2503.08646_pg17_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08646", "math": "(w, u^\\perp)\\mapsto \\Bigl(u, v, w\\Bigr)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06716_pg12.pdf", "page": 1, "id": "2503.06716_pg12_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06716", "math": "\\mu_{s,t}^{\\frac{1}{2_s^*(t)-2}}u", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05436_pg25.pdf", "page": 1, "id": "2503.05436_pg25_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05436", "math": "H_+=\\{y\\in\\mathbb{S}^2:y_3>0\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05436_pg25.pdf", "page": 1, "id": "2503.05436_pg25_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05436", "math": "\\begin{aligned} &v^n\\;m(u,v)\\left(Q\\left(\\frac{1}{v},\\frac{u}{v}\\right)-uP\\left(\\frac{1}{v},\\frac{u}{v}\\right),-vP\\left(\\frac{1}{v},\\frac{u}{v}\\right)\\right) \\text{ in } U_1, \\\\ &v^n\\;m(u,v)\\left(P\\left(\\frac{u}{v},\\frac{1}{v}\\right)-uQ\\left(\\frac{u}{v},\\frac{1}{v}\\right),-vQ\\left(\\frac{u}{v},\\frac{1}{v}\\right)\\right) \\text{ in } U_2, \\\\ &m(u,v)(P(u,v),Q(u,v)) \\text{ in } U_3, \\end{aligned}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05428_pg17.pdf", "page": 1, "id": "2503.05428_pg17_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05428", "math": "\\lambda \\in \\left (\\bigcup_{x\\in \\partial M} i |P_n\\left [ -\\sqrt{\\max(0,N^2)},\\sqrt{\\max(0,N^2)}\\right ]\\right )^c", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09565_pg19.pdf", "page": 1, "id": "2503.09565_pg19_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09565", "math": "\\hat{Z}^{W_{0}^{2}\\delta x_{s}^{1}(\\xi_i)}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09565_pg19.pdf", "page": 1, "id": "2503.09565_pg19_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09565", "math": "\\hat{Z}^{W_{0}^{l}\\delta x_{s}^{l-1}(\\xi_i)}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09565_pg19.pdf", "page": 1, "id": "2503.09565_pg19_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09565", "math": "\\hat{Z}^{W_{0}^{L\\top}dh_{s}^{L}(\\xi_i)}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09565_pg19.pdf", "page": 1, "id": "2503.09565_pg19_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09565", "math": "\\hat{Z}^{W_{0}^{l\\top}dh_{s}^{l}(\\xi_i)}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09285_pg9.pdf", "page": 1, "id": "2503.09285_pg9_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09285", "math": "\\begin{aligned} &|\\sigma(\\mathbf{u})|^2=\\sum_{k=1}^{m}|\\sigma_k(\\mathbf{u})|^2\\leq B_0,\\text{ for all }\\mathbf{u}\\in H;\\\\ &|\\sigma(\\mathbf{u})-\\sigma(\\mathbf{v})|^2=\\sum_{k=1}^{m}|\\sigma_k(\\mathbf{u})-\\sigma_k(\\mathbf{v})|^2\\leq L|\\mathbf{u}-\\mathbf{v}|^2,\\text{ for all }\\mathbf{u},\\mathbf{v}\\in H. \\end{aligned}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04536_pg9.pdf", "page": 1, "id": "2503.04536_pg9_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04536", "math": "T:(\\Omega_0,\\rho_0)\\to (\\Omega_1,\\rho_1)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04536_pg9.pdf", "page": 1, "id": "2503.04536_pg9_math_009", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04536", "math": "T\\circ (\\sigma_t)^{-1}:(\\Omega_0,\\rho_0)\\to (\\Omega_1,\\rho_1)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04536_pg9.pdf", "page": 1, "id": "2503.04536_pg9_math_011", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04536", "math": "\\sigma(y_1,t+0)=\\sigma(y_2,t+0)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04407_pg3.pdf", "page": 1, "id": "2503.04407_pg3_math_009", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04407", "math": "\\mathbf{a}(\\mathbf{x}_t,\\alpha)=[1,e^{j\\frac{2\\pi}{\\lambda}x_{t,1}\\sin\\alpha},\\cdots,e^{j\\frac{2\\pi}{\\lambda}x_{t,M_t-1}\\sin\\alpha}]^T", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07583_pg22.pdf", "page": 1, "id": "2503.07583_pg22_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07583", "math": "\\begin{aligned} A_{a,b,c} = 2(a+b+c) + 3 \\\\ C_{a,b|c,d} = 3 (2a+1)(2b+1) \\\\ G_{a} = (2a+1)(2a^2 + 2a + 1) \\end{aligned}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07128_pg28.pdf", "page": 1, "id": "2503.07128_pg28_math_010", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07128", "math": "\\mathcal{R} (t_n) \\widetilde{W}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05140_pg22.pdf", "page": 1, "id": "2503.05140_pg22_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05140", "math": "\\tilde{s}_{C, \\epsilon}(p, q, r) = \\begin{cases} -\\frac{2}{q} + \\epsilon, & \\text{for } q \\geq 3p' \\text{ and } \\frac{1}{p} \\leq \\frac{1}{4}; \\\\ \\frac{2}{p} - \\frac{2}{q} - \\frac{1}{2} + \\epsilon, & \\text{for } q \\geq 3p' \\text{ and } \\frac{1}{4} < \\frac{1}{p} < \\frac{1}{2} - \\frac{1}{q}; \\\\ \\frac{1}{p} - \\frac{3}{q} + \\epsilon, & \\text{for } q \\geq 3p' \\text{ and } \\frac{1}{p} \\geq \\frac{1}{2} - \\frac{1}{q}; \\\\ \\frac{3}{2p} - \\frac{3}{2q} - \\frac{1}{2} + \\epsilon, & \\text{for } p' < q < 3p'; \\\\ \\frac{2}{p} - \\frac{1}{q} - 1 + \\epsilon, & \\text{for } q \\leq p'. \\end{cases}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05140_pg22.pdf", "page": 1, "id": "2503.05140_pg22_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05140", "math": "1 + (1 + \\omega)\\left(\\frac{1}{q} - \\frac{1}{p}\\right) > 0", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04493_pg31.pdf", "page": 1, "id": "2503.04493_pg31_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04493", "math": "b_0 = 4(y_0 + y_1 - 2y_3), b_1 = 4(y_0 - y_3 + y_4 - y_5), b_2 = - 3y_0 - y_1 + 4y_3", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04493_pg31.pdf", "page": 1, "id": "2503.04493_pg31_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04493", "math": "b_3 = 4(y_0 - y_3 + y_4 - y_5), b_4 = 4(y_0 + y_2 - 2y_5), b_5 = -3y_0 - y_2 + 4y_5", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04493_pg31.pdf", "page": 1, "id": "2503.04493_pg31_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04493", "math": "\\begin{aligned} \\frac{\\partial x}{\\partial \\xi} = a_0\\xi + a_1\\eta + a_2, \\\\ \\frac{\\partial x}{\\partial \\eta} = a_3\\xi + a_4\\eta + a_5, \\\\ \\frac{\\partial y}{\\partial \\xi} = b_0\\xi + b_1\\eta + b_2, \\\\ \\frac{\\partial y}{\\partial \\eta} = b_3\\xi + b_4\\eta + b_5, \\\\ \\end{aligned}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04493_pg31.pdf", "page": 1, "id": "2503.04493_pg31_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04493", "math": "a_3 = 4(x_0 - x_3 + x_4 - x_5), a_4 = 4(x_0 + x_2 - 2x_5), a_5 = -3x_0 - x_2 + 4x_5", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06804_pg14.pdf", "page": 1, "id": "2503.06804_pg14_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06804", "math": "\\overline{ \\text{x}}^{\\text{Test}}>0", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08411_pg18.pdf", "page": 1, "id": "2503.08411_pg18_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08411", "math": "\\mathrm{sL}_\\mathbb{G}(x)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08411_pg18.pdf", "page": 1, "id": "2503.08411_pg18_math_009", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08411", "math": "\\mathrm{Cont}^\\triangle(X,\\mathbb{G})", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07335_pg33.pdf", "page": 1, "id": "2503.07335_pg33_math_010", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07335", "math": "Z = \\sum_{i=0}^{i_{\\max}-1}\\sum_{h=1}^{\\omega}Z_{h}^{(i)}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09190_pg4.pdf", "page": 1, "id": "2503.09190_pg4_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09190", "math": "\\operatorname{diam} T \\le Ch", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07345_pg12.pdf", "page": 1, "id": "2503.07345_pg12_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07345", "math": "\\phi(r)\\sim cr^{\\frac32}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08272_pg14.pdf", "page": 1, "id": "2503.08272_pg14_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08272", "math": "\\Delta R^{2}(\\omega )", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08272_pg14.pdf", "page": 1, "id": "2503.08272_pg14_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08272", "math": "\\Delta R^{1}(\\omega )", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08595_pg4.pdf", "page": 1, "id": "2503.08595_pg4_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08595", "math": "\\Gamma_1 = \\Gamma_0 \\mathop\\square G_F", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09208_pg18.pdf", "page": 1, "id": "2503.09208_pg18_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09208", "math": "\\Phi_I(\\varepsilon)= \\dfrac{J(I^\\varepsilon) - J(I)}{\\varepsilon}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09087_pg6.pdf", "page": 1, "id": "2503.09087_pg6_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09087", "math": "L_\\alpha^{\\red(w)}(G)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08374_pg13.pdf", "page": 1, "id": "2503.08374_pg13_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08374", "math": "\\begin{array}{rcl} p_n(x,\\sqrt{x})&=&-k_n(x)k_n(1/x)-2k_n(\\sqrt{x})k_n(1/\\sqrt{x})\\\\ \\ q_n(x,\\sqrt{x})&=&k_n(x)k_n(1/\\sqrt{x})^2+k_n(1/x)k_n(\\sqrt{x})^2. \\end{array}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07147_pg16.pdf", "page": 1, "id": "2503.07147_pg16_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07147", "math": "|N_{G}(U\\setminus B)|\\geq \\frac{s|U\\setminus B|}{2r}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07147_pg16.pdf", "page": 1, "id": "2503.07147_pg16_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07147", "math": "N_{G,r}(U\\setminus B)\\subseteq X", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07147_pg16.pdf", "page": 1, "id": "2503.07147_pg16_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07147", "math": "X\\subseteq V(G)\\setminus U", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07147_pg16.pdf", "page": 1, "id": "2503.07147_pg16_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07147", "math": "V(G)\\setminus (U\\cup L)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07147_pg16.pdf", "page": 1, "id": "2503.07147_pg16_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07147", "math": "X=X_k=V(H_k)\\setminus U", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07147_pg16.pdf", "page": 1, "id": "2503.07147_pg16_math_011", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07147", "math": "|U\\setminus B|\\geq \\frac{|U|}2", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07368_pg8.pdf", "page": 1, "id": "2503.07368_pg8_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07368", "math": "\\text{id}=(\\text{id},\\ldots,\\text{id})", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05469_pg12.pdf", "page": 1, "id": "2503.05469_pg12_math_009", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05469", "math": "V(v)=-\\sum_{k=r}^m \\frac1k", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09086_pg5.pdf", "page": 1, "id": "2503.09086_pg5_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09086", "math": "(\\theta_{P},\\lambda_{P}) := \\text{arg} \\left( \\max_{\\lambda} \\min_{\\theta} L_{P,M}(\\theta,\\lambda) \\right) \\quad \\text{resp.} \\quad (\\theta_{R},\\lambda_{R}) := \\text{arg} \\left( \\max_{\\lambda} \\min_{\\theta} L_{R,M}(\\theta,\\lambda) \\right)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07355_pg11.pdf", "page": 1, "id": "2503.07355_pg11_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07355", "math": "s_{r,s}=\\begin{cases} 2 \\text{ if } r-s=2,4 \\text{ mod 4},\\\\ 1 \\text{ if } r-s=1,3 \\text{ mod 4}. \\end{cases}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06570_pg6.pdf", "page": 1, "id": "2503.06570_pg6_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06570", "math": "\\mathsf{Eff} \\subseteq H_2(X,\\mathbb{Z})", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04932_pg20.pdf", "page": 1, "id": "2503.04932_pg20_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04932", "math": "u(x,y,z,t) = \\sum\\limits_{k=1}^{2}{e^{-3dk^2t}\\sin{(k(x-t))}\\sin{(k(y-t))}\\sin{(k(z-t))}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06126_pg25.pdf", "page": 1, "id": "2503.06126_pg25_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06126", "math": "\\left\\{ \\left\\Vert \\nabla u_{n}\\right\\Vert _{L^{m}}:p_{n}^{-}\\geqslant m\\right\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07785_pg20.pdf", "page": 1, "id": "2503.07785_pg20_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07785", "math": "N_x\\times N_v=49\\times97", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06194_pg10.pdf", "page": 1, "id": "2503.06194_pg10_math_009", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06194", "math": "\\varprojlim_nG_n\\cong\\Z_p^{\\,d}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08634_pg6.pdf", "page": 1, "id": "2503.08634_pg6_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08634", "math": "\\mathbb{E}[\\|\\hat{x}_\\eta-x^*\\|^2]\\leq \\tfrac{2}{\\mu_f}\\left(\\|\\nabla f(x^*)\\| \\,\\sqrt[\\kappa]{\\tfrac{1}{\\alpha}\\left(\\texttt{Err}_{\\eta}+\\eta M\\right)} + \\tfrac{1}{\\eta}\\texttt{Err}_{\\eta}\\right)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08634_pg6.pdf", "page": 1, "id": "2503.08634_pg6_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08634", "math": "\\Pi_{X^*_h}[\\hat{x}_\\eta] \\in X^*_h", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08634_pg6.pdf", "page": 1, "id": "2503.08634_pg6_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08634", "math": "\\eta\\le\\tfrac{\\alpha}{2\\|\\nabla f(x^*)\\|}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04612_pg8.pdf", "page": 1, "id": "2503.04612_pg8_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04612", "math": "\\phi(\\omega_0) \\coloneqq - \\log a(\\omega_0)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06612_pg19.pdf", "page": 1, "id": "2503.06612_pg19_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06612", "math": "-K_X\\cdot D = f_t^*\\left(\\sum_i C_i\\right)\\cdot D_t =\\left( (p+q)E_t + \\sum_i C_{i,t}\\right) \\cdot D_t = p+q", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06612_pg19.pdf", "page": 1, "id": "2503.06612_pg19_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06612", "math": "-2\\leq (K_{Y_t} + D_t) \\cdot D_t = \\left(-\\sum_{i}C_{i,t} - E_t + D_t\\right) \\cdot D_t = D_t^2 - E_t\\cdot D_t < -E_t\\cdot D_t", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07452_pg8.pdf", "page": 1, "id": "2503.07452_pg8_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07452", "math": "\\begin{aligned} & \\underset{\\mathbf{b}}{\\text{minimize}} & & \\epsilon_d(\\mathbf{b}) = \\dfrac{1}{n_{MP}} \\sum_{i=1}^{n_{MP}} (\\mathbf{u}_{r_i} - \\mathbf{u}_{s_i}(\\mathbf{b}))^2\\\\ & \\text{subject to} & & \\mathbf{b}_l \\mathbf{\\leq b} \\leq \\mathbf{b}_u \\end{aligned}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09042_pg5.pdf", "page": 1, "id": "2503.09042_pg5_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09042", "math": "\\Pr{g(X) \\geq k \\text{ or } g(-X) \\geq k} \\leq 2\\epsilon", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09042_pg5.pdf", "page": 1, "id": "2503.09042_pg5_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09042", "math": "\\Pr{g(-X) \\geq k} = \\Pr{g(X) \\geq k} \\leq \\epsilon", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09042_pg5.pdf", "page": 1, "id": "2503.09042_pg5_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09042", "math": "\\Pr{X_{f(Y)}=X_{f(-Y)}}{Y=y} \\geq 1/2", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09042_pg5.pdf", "page": 1, "id": "2503.09042_pg5_math_010", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09042", "math": "\\Pr{B_Y} = 2^{-(k-2)}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08868_pg80.pdf", "page": 1, "id": "2503.08868_pg80_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08868", "math": "\\begin{matrix} & \\alpha'& \\beta'& \\gamma'&&& \\delta'\\\\ {\\rm angles:}& 67 & 68 & 71 & 74 & 5 & 14 & /78\\\\ \\times ~3: & 15& 16& 19& 22& 5 & 14 & /26 \\end{matrix}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08868_pg80.pdf", "page": 1, "id": "2503.08868_pg80_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08868", "math": "\\begin{matrix}& \\gamma & & & \\delta & \\alpha &\\beta\\\\ {\\rm angles:}& 16& 19 & 22& 31 & 40 & 41 & /78 \\\\ \\times ~3: & 16 & 19& 22& 5 & 14 & 15 & /26 \\end{matrix}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08898_pg56.pdf", "page": 1, "id": "2503.08898_pg56_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08898", "math": "\\ch_k^H(\\gamma), \\ch_k^H(e_j)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08925_pg16.pdf", "page": 1, "id": "2503.08925_pg16_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08925", "math": "\\psi=\\widehat\\Phi\\circ\\varphi\\circ\\Phi", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08925_pg16.pdf", "page": 1, "id": "2503.08925_pg16_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08925", "math": "\\frac{1}{2}\\widehat\\Phi\\circ\\varphi\\circ\\Phi", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05506_pg11.pdf", "page": 1, "id": "2503.05506_pg11_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05506", "math": "v_i^{50s}v_j^{50s},v_i^{50s+1}v_j^{50s}\\in E_4", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05506_pg11.pdf", "page": 1, "id": "2503.05506_pg11_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05506", "math": "v_{\\hat{\\tau}_i^2+s^{\\ell-1}-2s}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08395_pg5.pdf", "page": 1, "id": "2503.08395_pg5_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08395", "math": "\\rho^t:X^t\\dashrightarrow X", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08395_pg5.pdf", "page": 1, "id": "2503.08395_pg5_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08395", "math": "\\rho^t_*g^t\\xrightarrow[C^\\infty]{t\\to 0}g", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.03766_pg12.pdf", "page": 1, "id": "2503.03766_pg12_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.03766", "math": "\\P \\{ T \\ge c \\} = \\P \\{ T = m/p \\} = p ", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.03994_pg108.pdf", "page": 1, "id": "2503.03994_pg108_math_027", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.03994", "math": "A:= \\begin{bmatrix} -\\frac{x_1}{\\Theta_1}\\alpha_1 & \\alpha_1 \\\\ -\\beta_1 & 0 \\end{bmatrix} \\begin{bmatrix} -\\frac{x_0}{\\Theta_0}\\alpha_0 & \\alpha_0 \\\\ -\\beta_0 & 0 \\end{bmatrix} = \\begin{bmatrix} \\frac{x_0x_1}{\\Theta_0\\Theta_1}\\alpha_0\\alpha_1-\\beta_0\\alpha_1 & -\\frac{x_1}{\\Theta_1}\\alpha_0\\alpha_1 \\\\ \\frac{x_0}{\\Theta_0}\\alpha_0\\beta_1 & -\\alpha_0\\beta_1 \\end{bmatrix}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04466_pg9.pdf", "page": 1, "id": "2503.04466_pg9_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04466", "math": "\\dot{\\lambda}_v(t)^{\\top} = D_2 C(q(t),v(t),u(t)) - \\lambda_v(t)^{\\top} \\, D_2 f(q(t),v(t),u(t)) - \\lambda_q(t)^{\\top}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04466_pg9.pdf", "page": 1, "id": "2503.04466_pg9_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04466", "math": "\\dot{\\lambda}_q(t)^{\\top} = D_1 C(q(t),v(t),u(t)) - \\lambda_v(t)^{\\top}\\, D_1 f(q(t),v(t),u(t))", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04466_pg9.pdf", "page": 1, "id": "2503.04466_pg9_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04466", "math": "\\ddot{\\kappa}(t)^{\\top} = \\frac{d}{dt} \\left[ D_2 C(q(t),\\dot{q}(t),u(t)) - \\kappa(t)^{\\top} D_2 f(q(t),\\dot{q}(t),u(t)) \\right]", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09469_pg13.pdf", "page": 1, "id": "2503.09469_pg13_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09469", "math": "\\lambda_{-1}(\\omega) \\le \\lambda_{-1}(0) + \\lambda^{\\prime}_{-1}(0) \\omega", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06597_pg18.pdf", "page": 1, "id": "2503.06597_pg18_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06597", "math": "\\cdots 210 210 210 \\cdots 210 \\bullet (2)^{\\infty}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04189_pg11.pdf", "page": 1, "id": "2503.04189_pg11_math_003", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://arxiv.org/pdf/2503.04189", "math": "Q(a e^{i \\frac{\\varphi}{h}}) = Q'_\\varphi({a}) e^{i \\frac{\\varphi}{h}} + R(a), \\tag{3.12}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04189_pg11.pdf", "page": 1, "id": "2503.04189_pg11_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04189", "math": "F F^*{u}(x, h) = \\frac{1}{(2 \\pi h)^{n-1}} \\iint e^{\\frac{i}{h} (\\varphi(x, \\xi') - \\varphi(y, \\xi'))} a(x, \\xi') \\overline{a(y, \\xi')} u(x_1, y') \\, dy' \\, d\\xi'", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04189_pg11.pdf", "page": 1, "id": "2503.04189_pg11_math_009", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://arxiv.org/pdf/2503.04189", "math": "\\Sigma(x, y', \\xi') = \\int_0^1 \\varphi'_{x'} (x_1, y' + t(x' - y'), \\xi') dt \\tag{3.13}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06904_pg10.pdf", "page": 1, "id": "2503.06904_pg10_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06904", "math": "\\|\\psi\\|_{L_w^\\infty}\\leq C\\left(\\|V(z)\\psi\\|_{L_w^q}+5\\left\\||U_*|^4\\sum_j\\left(1-\\zeta_j\\right)\\tilde\\phi_j\\right\\|_{L_w^q}+\\|M(\\psi)\\|_{L_w^q}\\right)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04033_pg9.pdf", "page": 1, "id": "2503.04033_pg9_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04033", "math": "\\mathbf{u}_5 = \\mathbf{0}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07122_pg4.pdf", "page": 1, "id": "2503.07122_pg4_math_013", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07122", "math": "c_{p,\\Theta;d} = \\min\\{\\exp_{n+1}^{-2p}(1),e^{-d-1}\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06267_pg10.pdf", "page": 1, "id": "2503.06267_pg10_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06267", "math": "V\\cong\\operatorname{Im}\\pi \\oplus \\ker\\pi=W\\oplus W'", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07537_pg4.pdf", "page": 1, "id": "2503.07537_pg4_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07537", "math": "\\varphi(t)\\equiv \\nu(\\varrho_0)t+\\phi_0", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08119_pg4.pdf", "page": 1, "id": "2503.08119_pg4_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08119", "math": "0\\longrightarrow \\omega_{\\mathcal{A}^\\vee/X,\\tau_i}\\longrightarrow\\H(\\mathcal{A}/X)_{\\tau_i}\\longrightarrow \\textnormal{Lie}_{\\mathcal{A}/X,\\tau_i}\\longrightarrow 0", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08119_pg4.pdf", "page": 1, "id": "2503.08119_pg4_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08119", "math": "\\langle\\cdot,\\cdot\\rangle:\\H(\\mathcal{A}/X)_{\\tau_i}\\times \\H(\\mathcal{A}/X)_{\\tau_i^c}\\longrightarrow \\mathcal{O}_X", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06630_pg14.pdf", "page": 1, "id": "2503.06630_pg14_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06630", "math": "\\dfrac{\\Phi(x,|\\nabla w_1(x)|)}{|w_1(x)|^{r-1}}=\\dfrac{\\Phi(x,\\lambda|\\nabla w_1(x)|)}{\\big (\\lambda|w_1(x)|\\big )^{r-1}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06630_pg14.pdf", "page": 1, "id": "2503.06630_pg14_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06630", "math": "\\dfrac{|\\nabla w_1(x)|}{w_1(x)}=\\dfrac{|\\nabla w_2(x)|}{w_2(x)}\\ \\Longrightarrow\\ \\dfrac{|\\nabla w_1(x)|}{w_1(x)}=\\dfrac{\\lambda(x)|\\nabla w_1(x)|}{w_2(x)}\\ \\Longrightarrow\\ \\lambda(x)=\\dfrac{w_2(x)}{w_1(x)}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06630_pg14.pdf", "page": 1, "id": "2503.06630_pg14_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06630", "math": "|\\nabla w_1(x)|\\cdot |\\nabla w_2(x)|=\\nabla w_1(x)\\cdot\\nabla w_2(x)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06880_pg36.pdf", "page": 1, "id": "2503.06880_pg36_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06880", "math": "r \\in X^{\\ast\\ast}\\backslash Q(X)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06880_pg36.pdf", "page": 1, "id": "2503.06880_pg36_math_009", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06880", "math": "\\rho_n = \\sup\\big\\{ r(y)\\,\\vert\\, y\\in X^{\\ast}_{= 1}\\cap E_n^{\\perp}\\big\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08808_pg5.pdf", "page": 1, "id": "2503.08808_pg5_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08808", "math": "\\left( \\frac{1}{2\\pi i} \\right)^2 \\int_{c - i\\infty}^{c + i\\infty} \\int_{c - i\\infty}^{c + i\\infty} \\frac{1}{\\left[ (z_1 + a)(z_2 + a) - b^2 \\right]^k} e^{z_1 x_1 + z_2 x_2} \\,dz_1 dz_2 \\notag \\\\ = \\frac{1}{\\Gamma(k) b^{k-1}} (x_1 x_2)^{\\frac{k-1}{2}} e^{-\\alpha (x_1 + x_2)} I_{k-1} \\left( 2b \\sqrt{x_1 x_2} \\right)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08808_pg5.pdf", "page": 1, "id": "2503.08808_pg5_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08808", "math": "b = \\frac{\\sqrt{\\rho}}{\\sigma(1-\\rho)}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08808_pg5.pdf", "page": 1, "id": "2503.08808_pg5_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08808", "math": "\\frac{1}{\\Gamma(k) b^{k-1}} \\int_0^{\\infty} \\int_0^{\\infty} (x_1 x_2)^{\\frac{k-1}{2}} e^{-\\alpha (x_1 + x_2)} I_{k-1} \\left( 2b \\sqrt{x_1 x_2} \\right) e^{-z_1 x_1 - z_2 x_2} \\,dx_1 dx_2 \\notag \\\\ = \\frac{1}{\\left[ (z_1 + a)(z_2 + a) - b^2 \\right]^k}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08808_pg5.pdf", "page": 1, "id": "2503.08808_pg5_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08808", "math": "\\alpha = \\frac{1}{\\sigma(1-\\rho)}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08172_pg25.pdf", "page": 1, "id": "2503.08172_pg25_math_000", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://arxiv.org/pdf/2503.08172", "math": "p(\\tau, \\tau \\sqcup \\{ij\\}) = \\left\\{ \\begin{array}{cl} \\displaystyle \\frac{\\alpha_{ij} w_{i, ij}}{\\sum_{k=1}^d \\alpha_{ik} w_{i, ik}} \\alpha_i , & \\text{if } i \\in \\partial \\tau, \\\\[15pt] \\alpha_{ij}, & \\text{if } i \\notin \\partial \\tau \\text{ and } ij \\notin \\tau, \\end{array} \\right.", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08172_pg25.pdf", "page": 1, "id": "2503.08172_pg25_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08172", "math": "{\\prod_{i \\in \\overset{\\circ}{\\tau}} \\frac{\\alpha_i}{\\sum_{j=1}^d \\alpha_{ij} w_{i, ij}}}=\\left(\\frac{d}{\\sum_{j=1}^dw_j}\\right)^{|\\tau|- |\\partial \\tau|}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08172_pg25.pdf", "page": 1, "id": "2503.08172_pg25_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08172", "math": "\\binom{n}{k_1,\\cdots,k_d}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09486_pg4.pdf", "page": 1, "id": "2503.09486_pg4_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09486", "math": "I_i = \\frac 43 \\int \\rho_i^{\\frac 32} dt", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.03873_pg5.pdf", "page": 1, "id": "2503.03873_pg5_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.03873", "math": "H^{\\perp} \\cong \\widehat{A/H}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06205_pg1.pdf", "page": 1, "id": "2503.06205_pg1_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06205", "math": "\\{ u(t, \\centerdot) : t \\in [0, T] \\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06205_pg1.pdf", "page": 1, "id": "2503.06205_pg1_math_007", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://arxiv.org/pdf/2503.06205", "math": "\\mathcal{U}_T : f \\in L^2(\\R^n) \\mapsto u(T, \\centerdot) \\in L^2(\\R^n)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04047_pg8.pdf", "page": 1, "id": "2503.04047_pg8_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04047", "math": "t^* = \\underset{t \\geq M}{\\arg\\max} \\, \\hat{C}(t)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07448_pg3.pdf", "page": 1, "id": "2503.07448_pg3_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07448", "math": "\\phi\\colon V(G)\\to V(H)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04465_pg3.pdf", "page": 1, "id": "2503.04465_pg3_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04465", "math": "\\xi\\mapsto y(T,\\cdot;\\xi;y_0;u)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09195_pg13.pdf", "page": 1, "id": "2503.09195_pg13_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09195", "math": "{\\epsilon}_{v_0,-,j_1}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09195_pg13.pdf", "page": 1, "id": "2503.09195_pg13_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09195", "math": "{\\pi}_{2,1,1} {\\mid}_{S_{0,c_G}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08169_pg16.pdf", "page": 1, "id": "2503.08169_pg16_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08169", "math": "\\begin{aligned} C^2(n_0) &\\ := \\ \\max_{x\\in [-\\frac{1}{n_0+2},\\frac{1}{n_0+2}]} (1-\\eta x) ^2+(\\sigma x)^2,\\\\ c^2(n_0) &\\ := \\ \\min_{x\\in [-\\frac{1}{n_0+2},\\frac{1}{n_0+2}]} (1-\\eta x) ^2+(\\sigma x)^2, \\end{aligned}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08169_pg16.pdf", "page": 1, "id": "2503.08169_pg16_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08169", "math": "|(\\mathrm{I}_n+\\tfrac12 z \\mathrm{M}_{\\bm{n}})^{-1}|2", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08169_pg16.pdf", "page": 1, "id": "2503.08169_pg16_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08169", "math": "c^2(n_0)\\geq \\begin{cases} \\frac{\\sigma^2}{|z|^2}, & \\text{if }x_0\\leq \\frac{1}{n_0+2}, \\\\ f\\left(\\frac{1}{n_0+2}\\right), & \\text{if }x_0> \\frac{1}{n_0+2}. \\end{cases}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04041_pg20.pdf", "page": 1, "id": "2503.04041_pg20_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04041", "math": "L=\\left(\\begin{array}{cccc} 3 & 1 & & \\\\ 1 & \\ddots & \\ddots & \\\\ & \\ddots & \\ddots & 1 \\\\ & & 1 & 3 \\end{array}\\right)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04382_pg8.pdf", "page": 1, "id": "2503.04382_pg8_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04382", "math": "d^r(p)= d^r(q) \\Rightarrow p=q", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06657_pg2.pdf", "page": 1, "id": "2503.06657_pg2_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06657", "math": "\\mathbf{A}=\\langle A,\\wedge,\\vee, \\cdot,\\backslash,/,1\\rangle", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06657_pg2.pdf", "page": 1, "id": "2503.06657_pg2_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06657", "math": "\\mathbf{K}=\\mathbf{S}_3", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07794_pg18.pdf", "page": 1, "id": "2503.07794_pg18_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07794", "math": "\\ell\\in\\{500,600,\\ldots,1000\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07794_pg18.pdf", "page": 1, "id": "2503.07794_pg18_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07794", "math": "\\partial_t\\langle p^2\\rangle(x,t;\\ell)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07488_pg6.pdf", "page": 1, "id": "2503.07488_pg6_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07488", "math": "\\psi_j = (\\varphi_{j+1} + \\varphi_j)/2", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06459_pg7.pdf", "page": 1, "id": "2503.06459_pg7_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06459", "math": "\\frac{\\sqrt{n-1}}{\\sqrt{n-2}}\\delta", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05829_pg8.pdf", "page": 1, "id": "2503.05829_pg8_math_004", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://arxiv.org/pdf/2503.05829", "math": "\\N \\coloneq \\{1,2,\\ldots\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05829_pg8.pdf", "page": 1, "id": "2503.05829_pg8_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05829", "math": "\\N_0\\coloneq\\N\\cup\\{0\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05829_pg8.pdf", "page": 1, "id": "2503.05829_pg8_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05829", "math": "[n] \\coloneq \\{1,\\ldots,n\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09571_pg3.pdf", "page": 1, "id": "2503.09571_pg3_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09571", "math": "\\mathbb{R}^{n+1 \\choose 2}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05896_pg10.pdf", "page": 1, "id": "2503.05896_pg10_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05896", "math": "\\mathrm{vol}(g_i(0))\\Big(B_{e^{-Kt_0}r_0}^{g_i(0)}(x_i)\\Big)\\geq \\frac{A(n)}{n^n}r_0^ne^{-Knt_0}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05896_pg10.pdf", "page": 1, "id": "2503.05896_pg10_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05896", "math": "B_{e^{-Kt_0}r}^{g_i(0)}(p_i)\\subset B_r^{g_i(t_0)}(p_i)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05896_pg10.pdf", "page": 1, "id": "2503.05896_pg10_math_010", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05896", "math": "1\\geq e^{-Knt_0}\\geq e^{-Knb}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.02004_pg9.pdf", "page": 1, "id": "2503.02004_pg9_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.02004", "math": "i=\\underset{i\\in T_{(l)}^{c}}{\\arg\\max}\\underset{k}{\\min}\\ \\|\\mathbf{h}_k\\|_2,\\ \\text{s.t.}\\ \\mathbf{h}_k\\in\\text{Col}(\\mathbf{H}_{T_{(l)}\\cup\\{i\\}})", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.02004_pg9.pdf", "page": 1, "id": "2503.02004_pg9_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.02004", "math": "i=\\underset{i\\in T_{(l)}^{c}}{\\arg\\max}\\ \\bar{\\mathbf{g}}_i,\\ \\operatorname{s.t.}\\ D_1(\\{i\\},T_{(l)})\\leq \\Delta n", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06185_pg6.pdf", "page": 1, "id": "2503.06185_pg6_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06185", "math": "\\alpha_{k}^{RBB}=\\mathop{\\text{argmin}}_{\\alpha\\in\\mathbb{R}} \\Big\\{\\Vert\\alpha\\Delta y^{k-1}-\\Delta\\Psi^{k-1}\\Vert_{2}^{2} + \\tau_{k}\\Vert\\alpha \\sqrt{H_{k}}\\Delta y^{k-1}- \\sqrt{H_{k}}\\Delta\\Psi^{k-1}\\Vert_{2}^{2}\\Big\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07623_pg2.pdf", "page": 1, "id": "2503.07623_pg2_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07623", "math": "N^i_j=\\frac{\\partial G^i}{\\partial y^j}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05396_pg5.pdf", "page": 1, "id": "2503.05396_pg5_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05396", "math": "L(1,(\\tfrac{4n_1n_2}{\\cdot}))^{-1}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05396_pg5.pdf", "page": 1, "id": "2503.05396_pg5_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05396", "math": "\\sum_{x} f(\\tfrac{x}{A}) d(x^2+y^3)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05396_pg5.pdf", "page": 1, "id": "2503.05396_pg5_math_010", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05396", "math": "\\lambda^\\sharp_{1}(k,T)=\\sum_{c \\leq T} (\\tfrac{4n_1n_2}{c})", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04590_pg7.pdf", "page": 1, "id": "2503.04590_pg7_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04590", "math": "\\dot{V}(u) \\leq -K.\\big(V(u)\\big)^p \\quad \\forall u\\in U\\setminus \\{u^*\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08924_pg2.pdf", "page": 1, "id": "2503.08924_pg2_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08924", "math": "\\overbrace{ \\begin{pmatrix} \\begin{matrix}a_m&\\ldots&a_0\\\\ &\\ddots&&\\ddots& \\\\ &&a_m&\\ldots&a_0\\\\\\end{matrix} \\\\ \\begin{matrix}b_n&\\ldots&b_0 \\\\ &\\ddots&&\\ddots& \\\\ &&b_n&\\ldots&b_0\\\\\\end{matrix} \\\\ \\end{pmatrix}}^{n+m-i} \\begin{matrix} \\left.\\begin{matrix}\\\\ \\\\ \\\\\\end{matrix}\\right\\}&n-i\\\\ \\left.\\begin{matrix}\\\\ \\\\ \\\\\\end{matrix}\\right\\}&m-i\\\\ \\end{matrix}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07322_pg9.pdf", "page": 1, "id": "2503.07322_pg9_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07322", "math": "\\overline{D}|_{\\tilde C_2}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08109_pg12.pdf", "page": 1, "id": "2503.08109_pg12_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08109", "math": "{\\mathcal Mat}_2(\\mathbb{C})", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07629_pg32.pdf", "page": 1, "id": "2503.07629_pg32_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07629", "math": "{\\underset {j \\epsilon S} \\oplus}{\\bm e}(\\tfrac{1}{n},j)({\\bf A}{\\bf w}(f,g))", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07629_pg32.pdf", "page": 1, "id": "2503.07629_pg32_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07629", "math": "\\big\\{{\\bm e}(\\tfrac{1}{n},j), j=1,n\\big\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07629_pg32.pdf", "page": 1, "id": "2503.07629_pg32_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07629", "math": "\\overset {n} {\\underset {j=1} \\oplus} {\\bf A}{\\bf w}(f,g) {\\bf e}(\\tfrac{1}{n},\\xi) ={\\bf A} {\\bf w}(f,g)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06476_pg11.pdf", "page": 1, "id": "2503.06476_pg11_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06476", "math": "\\|x-x^{k+1}\\|^2\\leq \\|x-x^{k}\\|^2+ \\|x^k-x^{k+1}\\|^2~~\\text{for all}~ k=0,1,2 \\ldots", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04690_pg4.pdf", "page": 1, "id": "2503.04690_pg4_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04690", "math": "k_{\\text{fixed\\_subtraction}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08630_pg15.pdf", "page": 1, "id": "2503.08630_pg15_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08630", "math": "\\Psi\\Phi=\\operatorname{id}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08630_pg15.pdf", "page": 1, "id": "2503.08630_pg15_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08630", "math": "1 = \\sum_{v\\in \\Lambda^0} \\sum_{i=0}^{n-1} S_{v,w_i}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08630_pg15.pdf", "page": 1, "id": "2503.08630_pg15_math_009", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08630", "math": "C^*(\\Omega_1) \\cong \\bigoplus_{i=0}^{n-1} C^*(\\Omega_1^{w_i})", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06256_pg5.pdf", "page": 1, "id": "2503.06256_pg5_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06256", "math": "\\log |F (1/2 + it)| \\approx \\Re \\sum_{p \\leq \\sqrt{x}} \\frac{f(p)}{p^{1/2+it}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06256_pg5.pdf", "page": 1, "id": "2503.06256_pg5_math_009", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06256", "math": "\\frac{{(\\log \\log x )}^{1/2}}{\\log x} \\int_{\\R} \\biggl| \\frac{F_{(x)} (1/2 + it)}{1/2 + it} \\biggr|^2 \\, dt \\xrightarrow{d} V_{\\mathrm{crit}} \\quad \\text{as } x \\rightarrow \\infty", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06256_pg5.pdf", "page": 1, "id": "2503.06256_pg5_math_010", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06256", "math": "F_{(x)} (s) \\coloneqq \\prod_{p \\leq x} {\\bigl( 1 - \\frac{f(p)}{p^{s}} \\bigr)}^{-1}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05562_pg16.pdf", "page": 1, "id": "2503.05562_pg16_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05562", "math": "\\gamma (G) \\leq 3 \\cdot \\rho (G)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05562_pg16.pdf", "page": 1, "id": "2503.05562_pg16_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05562", "math": "\\{\\pi_{3i+1}\\mid 0\\le i \\le \\lfloor p/3 \\rfloor-1 \\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05562_pg16.pdf", "page": 1, "id": "2503.05562_pg16_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05562", "math": "\\rho(G)\\ge \\lfloor p/3 \\rfloor \\geq \\lfloor \\gamma(G)/3 \\rfloor", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05562_pg16.pdf", "page": 1, "id": "2503.05562_pg16_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05562", "math": "\\gamma(G) \\leq 3 \\cdot \\rho(G)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05672_pg9.pdf", "page": 1, "id": "2503.05672_pg9_math_005", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://arxiv.org/pdf/2503.05672", "math": "\\epsilon : H^1(\\Omega,\\mathbb{R}^3) \\to L^2(\\Omega,\\mathbb{R}^{3\\times 3}_{\\mathrm{sym}})", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06226_pg4.pdf", "page": 1, "id": "2503.06226_pg4_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06226", "math": "\\lim_{k \\rightarrow \\infty} \\hat x(k) = x(k)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09234_pg7.pdf", "page": 1, "id": "2503.09234_pg7_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09234", "math": "g = U^{\\frac{4}{n-4}} \\overset{\\circ}{g}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09234_pg7.pdf", "page": 1, "id": "2503.09234_pg7_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09234", "math": "u:\\R^n \\backslash \\{ 0 \\} \\rightarrow (0,\\infty)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07361_pg12.pdf", "page": 1, "id": "2503.07361_pg12_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07361", "math": "\\delta=n^2+\\frac{1}{2}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06710_pg5.pdf", "page": 1, "id": "2503.06710_pg5_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06710", "math": "\\begin{bmatrix}\\varphi^{\\xi,+}_{n}\\\\\\varphi^{\\xi,-}_{n}\\end{bmatrix}=e^{2\\pi in\\theta}\\begin{bmatrix}\\check{\\phi}^{+}(\\xi+n\\Phi)\\\\\\check{\\phi}^{-}(\\xi+n\\Phi)\\end{bmatrix}=\\frac1{\\sqrt2}e^{2\\pi in\\theta}\\begin{bmatrix}\\check\\psi^+(\\xi+n\\Phi)+i\\check\\psi^-(\\xi+n\\Phi)\\\\i\\check\\psi^+(\\xi+n\\Phi)+\\check\\psi^-(\\xi+n\\Phi)\\end{bmatrix}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07467_pg6.pdf", "page": 1, "id": "2503.07467_pg6_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07467", "math": "\\Lambda_{I,N}(\\rho_\\varepsilon)=-\\sum_{i=1}^n\\frac{2}{N}\\Big(D_{i,t}+\\sum_{s\\neq t}\\frac{e^{2H_{i,s}(p^*)}h_i(p_{s}^*)}{e^{2H_{i,t}(p^*)}h_i(p_{t}^*)} D_{i,s}+o(1)\\Big)\\varepsilon_t^{2}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07467_pg6.pdf", "page": 1, "id": "2503.07467_pg6_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07467", "math": "\\sum_{i\\in\\hat{I}}\\sum_{t=1}^N e^{(\\hat{m}^*-2)H_{i,t}(p^*)}h_i(p_{t}^*)D_{i,t}\\neq 0", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07467_pg6.pdf", "page": 1, "id": "2503.07467_pg6_math_010", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07467", "math": "\\sum_{i=1}^n \\sum_{t=1}^N e^{2H_{i,t}(p^*)}h_i(p_{t}^*)L_{i,t}\\neq 0", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08443_pg27.pdf", "page": 1, "id": "2503.08443_pg27_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08443", "math": "\\phi_\\lambda\\notin \\mathcal{J}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08443_pg27.pdf", "page": 1, "id": "2503.08443_pg27_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08443", "math": "\\overline{\\lambda} \\notin \\sigma(D|\\mathcal{J})", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09367_pg9.pdf", "page": 1, "id": "2503.09367_pg9_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09367", "math": "e(G)\\leq 3n-6-\\frac{n}{4k^{\\log_23}}\\leq 3n-6-\\frac{n}{36k^{1+\\log_23}}+\\frac{k^2}{2}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.03855_pg5.pdf", "page": 1, "id": "2503.03855_pg5_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.03855", "math": "\\zeta_\\alpha\\left(\\begin{pmatrix} 0 & 1 \\\\ -1 & 0 \\end{pmatrix}\\right)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06329_pg24.pdf", "page": 1, "id": "2503.06329_pg24_math_009", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06329", "math": "\\begin{array}{c|cccc} & a_1a_5 & a_1a_2a_5 & a_1a_5a_6 & a_1a_2a_5a_6 \\\\ \\hline a_1a_5 & a_1a_5 & a_1a_2a_5 & a_1a_5a_6 & a_1a_2a_5a_6 \\\\ a_1a_4a_5 & a_1a_4a_5 & \\cdot & \\cdot & \\cdot \\\\ a_5a_na_1 & a_5a_na_1 & \\cdot & a_na_1a_5a_6 & \\cdot \\\\ a_4a_5a_na_1 & a_4a_5a_na_1 & \\cdot & \\cdot & \\cdot \\end{array}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06329_pg24.pdf", "page": 1, "id": "2503.06329_pg24_math_012", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06329", "math": "\\begin{array}{c|ccc} & a_1 & a_2 & 1 \\\\ \\hline a_1 & a_1 & \\cdot & a_1 \\\\ a_2 & \\cdot & a_2 & a_2 \\\\ 1 & a_1 & a_2 & 1 \\end{array}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07090_pg2.pdf", "page": 1, "id": "2503.07090_pg2_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07090", "math": "\\rm{diag} (\\mathbf{a})", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07090_pg2.pdf", "page": 1, "id": "2503.07090_pg2_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07090", "math": "z_{k,c}^{'}=\\mathbf h_{k,c} \\sum\\limits_{l \\ne k}^K \\mathbf p_{l}^c x_{l,c} + z_{k,c}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07090_pg2.pdf", "page": 1, "id": "2503.07090_pg2_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07090", "math": "{\\mathcal{R}_{k,c}} = \\mathrm{log}(1+{\\Gamma}_{k,c}^{-1}\\mathbf{h}_{k,c}\\mathbf p_k^c(\\mathbf p_k^c)^H \\mathbf{h}_{k,c}^H) ", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07090_pg2.pdf", "page": 1, "id": "2503.07090_pg2_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07090", "math": "{\\rm{tr}}(\\mathbf{A})", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07090_pg2.pdf", "page": 1, "id": "2503.07090_pg2_math_009", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://arxiv.org/pdf/2503.07090", "math": "\\mathbf H_k={\\rm Bdiag}\\{\\mathbf h_{k,1},\\cdots,\\mathbf h_{k,N_v}\\}\\in \\mathbb{C}^{N_v \\times MN_v}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06979_pg8.pdf", "page": 1, "id": "2503.06979_pg8_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06979", "math": "\\prod_{i=1}^{5}D_i\\unlhd X", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06979_pg8.pdf", "page": 1, "id": "2503.06979_pg8_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06979", "math": "\\widetilde{K} \\cap (\\widetilde{P_1} \\times \\widetilde{P_2}) \\lhd \\widetilde{P_1} \\times \\widetilde{P_2}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08185_pg2.pdf", "page": 1, "id": "2503.08185_pg2_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08185", "math": "\\pi_\\star\\asymp \\frac{1}{2^{n^2}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08185_pg2.pdf", "page": 1, "id": "2503.08185_pg2_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08185", "math": "\\Omega\\left(\\tfrac{n^2}{\\log n}\\right)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08341_pg5.pdf", "page": 1, "id": "2503.08341_pg5_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08341", "math": "(\\pi_{t}(1), \\pi_{t}(2), \\dots \\pi_{t}(k)) \\overset{(d)}{=} (\\pi_{t}^{-1}(1), \\pi_{t}^{-1}(2), \\dots \\pi_{t}^{-1}(k))", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.03762_pg1.pdf", "page": 1, "id": "2503.03762_pg1_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.03762", "math": "\\begin{split} T_{\\Lambda}: &\\left(c_{1,0}, c_{1,1}, \\ldots, c_{1, m_1-1} ; c_{2,0}, c_{2,1}, \\ldots, c_{2, m_2-1} ; \\ldots ; c_{\\ell, 0}, c_{\\ell, 1}, \\ldots, c_{\\ell, m_{\\ell}-1}\\right)\\mapsto\\\\ &\\left(\\lambda_1 c_{1, m_1-1},c_{1,0}, \\ldots, c_{1, m_1-2} ; \\lambda_2 c_{2, m_2-1}, c_{2,0}, \\ldots, c_{2, m_2-2} ; \\ldots ; \\lambda_{\\ell} c_{\\ell, m_{\\ell}-1}, c_{\\ell, 0}, \\ldots, c_{\\ell, m_{\\ell}-2}\\right). \\end{split}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.03762_pg1.pdf", "page": 1, "id": "2503.03762_pg1_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.03762", "math": "\\left\\{\\mathbf{g}_1, \\mathbf{g}_2, \\ldots, \\mathbf{g}_\\rho\\right\\} \\subseteq V", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05311_pg1.pdf", "page": 1, "id": "2503.05311_pg1_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05311", "math": "\\set{n}:=\\{1,2,\\ldots, n\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07692_pg35.pdf", "page": 1, "id": "2503.07692_pg35_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07692", "math": "C_{\\min} := \\min_{i,j}{(\\min_{i,j}n_{i,j}^{m},\\min_{i,j}p_{i,j}^{m})}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07692_pg35.pdf", "page": 1, "id": "2503.07692_pg35_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07692", "math": "\\phi^{m+1,0}=2\\phi^{m}-\\phi^{m-1}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07692_pg35.pdf", "page": 1, "id": "2503.07692_pg35_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07692", "math": "n^{m+1,0}=\\max{\\left(2n^{m}-n^{m-1},\\epsilon\\right)}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07692_pg35.pdf", "page": 1, "id": "2503.07692_pg35_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07692", "math": "p^{m+1,0}=\\max{\\left(2p^{m}-p^{m-1},\\epsilon\\right)}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08911_pg10.pdf", "page": 1, "id": "2503.08911_pg10_math_005", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://arxiv.org/pdf/2503.08911", "math": "D([4,7,8,2,5,9,3,10,1,11,6])", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08911_pg10.pdf", "page": 1, "id": "2503.08911_pg10_math_006", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://arxiv.org/pdf/2503.08911", "math": "\\text{std}(44425533116)=[4,7,8,2,5,9,3,10,1,11,6]", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08911_pg10.pdf", "page": 1, "id": "2503.08911_pg10_math_009", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08911", "math": "D(\\text{std}(\\text{conv}(w)))", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08911_pg10.pdf", "page": 1, "id": "2503.08911_pg10_math_011", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08911", "math": "D(\\text{std}(\\text{conv}(w))) \\subset [k] \\times [n]", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06509_pg11.pdf", "page": 1, "id": "2503.06509_pg11_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06509", "math": "v^Td<b~\\forall d\\in Conv\\bigg\\{\\displaystyle \\bigcup_{j\\in \\Lambda}\\partial H_j(x^*)\\bigg\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06509_pg11.pdf", "page": 1, "id": "2503.06509_pg11_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06509", "math": "\\breve{H}(x)=\\displaystyle\\max_{j\\in\\Lambda} H_j(x)- H_j(x^*)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06509_pg11.pdf", "page": 1, "id": "2503.06509_pg11_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06509", "math": "x^*=\\arg\\displaystyle \\min_{x\\in D}\\breve{H}(x)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06509_pg11.pdf", "page": 1, "id": "2503.06509_pg11_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06509", "math": "Conv\\bigg\\{\\displaystyle \\bigcup_{j\\in \\Lambda}\\partial H_j(x^*)\\bigg\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06509_pg11.pdf", "page": 1, "id": "2503.06509_pg11_math_009", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06509", "math": "0\\not\\in Conv\\bigg\\{\\displaystyle \\bigcup_{j\\in \\Lambda}\\partial H_j(x^*)\\bigg\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05089_pg3.pdf", "page": 1, "id": "2503.05089_pg3_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05089", "math": "(1-\\mu)\\frac{n}{r+q-1}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05692_pg8.pdf", "page": 1, "id": "2503.05692_pg8_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05692", "math": "f= P_{H}\\div \\left(w \\otimes w \\right)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05692_pg8.pdf", "page": 1, "id": "2503.05692_pg8_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05692", "math": "\\|(-\\Delta)^{-1} \\div(w\\otimes w)\\|_{L^2_x} \\gg \\|w\\|_{L^2_x}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05442_pg14.pdf", "page": 1, "id": "2503.05442_pg14_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05442", "math": "BS_n\\backslash (BS_{n-1}^1\\oplus BS_{n-1}^2\\oplus BS_{n-1}^3)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04056_pg25.pdf", "page": 1, "id": "2503.04056_pg25_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04056", "math": "v(t) = {v}(x_{i},y_{i}, t)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05000_pg9.pdf", "page": 1, "id": "2503.05000_pg9_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05000", "math": "\\eta(f, g)\\colon \\begin{array}{ccc} \\Omega^1_0(M) & \\to & \\Omega^1_0(M)\\\\ \\zeta &\\mapsto & \\zeta^*[f,\\tau^*\\zeta^*g] \\end{array}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06022_pg26.pdf", "page": 1, "id": "2503.06022_pg26_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06022", "math": "f_-(t) = \\sum_{k = 0}^m (-1)^{d-rk}a_k t^{sk}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06022_pg26.pdf", "page": 1, "id": "2503.06022_pg26_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06022", "math": "g_-(t) = \\sum_{k = 0}^n (-1)^{d-rk}b_k t^{sk}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06022_pg26.pdf", "page": 1, "id": "2503.06022_pg26_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06022", "math": "g_+(t) = \\sum_{k = 0}^n b_k t^{sk}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06651_pg13.pdf", "page": 1, "id": "2503.06651_pg13_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06651", "math": "\\mathrm{\\textbf{H}^{'}_{2,D}} = \\frac{\\mathrm{\\textbf{H}_{2,D}}}{\\rho_2 e^{j\\omega_2}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06651_pg13.pdf", "page": 1, "id": "2503.06651_pg13_math_008", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://arxiv.org/pdf/2503.06651", "math": "\\mathrm{\\textbf{H}^{'}_{1,U}} = \\frac{\\mathrm{\\bar{\\textbf{H}}}_{1,U}}{\\delta}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04535_pg2.pdf", "page": 1, "id": "2503.04535_pg2_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04535", "math": "d_1\\geq d_2\\geq\\ldots\\geq d_n>0", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08465_pg8.pdf", "page": 1, "id": "2503.08465_pg8_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08465", "math": "r(\\sigma)=W_{\\perp}\\gamma(\\sigma)\\in \\overline{E}_{\\leq\\rho \\Lambda}^\\perp", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04251_pg10.pdf", "page": 1, "id": "2503.04251_pg10_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04251", "math": "\\theta_{A,B,x}(s\\otimes t)=\\llbracket s\\otimes t\\rrbracket", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04251_pg10.pdf", "page": 1, "id": "2503.04251_pg10_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04251", "math": "\\llbracket s\\otimes f\\rrbracket", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04251_pg10.pdf", "page": 1, "id": "2503.04251_pg10_math_012", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04251", "math": "k \\otimes_{\\mathbb{Z}}T_i =0 =\\mathrm{Tor}_1^{\\mathbb{Z}}(k,T_{j})=0\\;, \\text{ for $0<i<e$ and $0<j<e-1$.}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05960_pg4.pdf", "page": 1, "id": "2503.05960_pg4_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05960", "math": "\\mu : S \\longrightarrow G", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09421_pg9.pdf", "page": 1, "id": "2503.09421_pg9_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09421", "math": "\\sum_{n \\in \\Z} \\frac{1}{1 + (|n|-1)^2} < \\infty", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09421_pg9.pdf", "page": 1, "id": "2503.09421_pg9_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09421", "math": "U_\\omega^{(L)} = U_\\omega^{\\Lambda_L} \\oplus U_\\omega^{\\Lambda_L^C}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07868_pg30.pdf", "page": 1, "id": "2503.07868_pg30_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07868", "math": "\\{R_i\\}_{i\\in\\mathbb{N}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07247_pg2.pdf", "page": 1, "id": "2503.07247_pg2_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07247", "math": "\\operatorname{PSL}^{\\pm}_2(\\mathbb{R}) = \\left\\{ \\pm \\begin{pmatrix} a & b \\\\ c & d \\end{pmatrix} \\middle| a, b, c, d \\in \\mathbb{R}, ad - bc = \\pm 1 \\right\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06722_pg17.pdf", "page": 1, "id": "2503.06722_pg17_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06722", "math": "Q \\colon \\mathbf{2} \\to \\mathbf{Fin}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06722_pg17.pdf", "page": 1, "id": "2503.06722_pg17_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06722", "math": "\\mathbf{Fun}(\\mathbf{2},\\mathbf{Fin})", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09577_pg20.pdf", "page": 1, "id": "2503.09577_pg20_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09577", "math": "\\sum_{i=1}^{i_0-1}(k-1)k^{k-1}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09577_pg20.pdf", "page": 1, "id": "2503.09577_pg20_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09577", "math": "I(k, n, w) = \\frac{k^n(k-1)}{4}\\sum_{i=1}^n (k^{n-i} - k^{n-i-(c_w)_i}) = \\frac{k^n(k-1)}{4}\\sum_{i=1}^{i_0-1}(k^{n-i} - k^{n-i-w_i+1})", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05642_pg4.pdf", "page": 1, "id": "2503.05642_pg4_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05642", "math": "\\begin{aligned} k_{\\mathit{SP}}(G^1, G^2)=\\sum\\limits_{u_1,v_1\\in V^1,u_2,v_2\\in V^2}k(e_{u_1,v_1},e_{u_2,v_2}) \\end{aligned}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08088_pg5.pdf", "page": 1, "id": "2503.08088_pg5_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08088", "math": "\\{v\\in V(G)\\setminus X \\, \\colon v \\text{ is adjacent to a vertex in } X\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04086_pg3.pdf", "page": 1, "id": "2503.04086_pg3_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04086", "math": "\\gcd(a,n) = \\gcd(b,n)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07286_pg6.pdf", "page": 1, "id": "2503.07286_pg6_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07286", "math": "{\\mathbb E}X^2(t)= \\sum_{j=0}^{+\\infty} \\sum_{k=0}^{2^{j}-1} \\left|\\int_{0}^{1} (t-s)_{+}^{H_{j}(k/{2^j})-{1}/{2}} h_{j,k}(s)ds\\right|^2 < +\\infty", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07421_pg26.pdf", "page": 1, "id": "2503.07421_pg26_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07421", "math": "H^h(l^h)=H(l^*,l^h)=H(l)= cov(l) - 2\\pi\\sum_{i\\in E} l_i", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08504_pg4.pdf", "page": 1, "id": "2503.08504_pg4_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08504", "math": "\\frac{2(d+1)}{d-1}< q< \\frac{2d}{d-2}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08504_pg4.pdf", "page": 1, "id": "2503.08504_pg4_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08504", "math": "2\\le q<\\frac{2(d+1)}{d-1}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08011_pg19.pdf", "page": 1, "id": "2503.08011_pg19_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08011", "math": "\\beta^{(n)} \\coloneq \\{b_i^{(n)}\\}_{i=1}^\\infty \\in S", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08011_pg19.pdf", "page": 1, "id": "2503.08011_pg19_math_003", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://arxiv.org/pdf/2503.08011", "math": "S \\coloneq \\left\\{ \\{b_i\\}_{i=1}^\\infty \\left\\vert 0\\leq b_i\\leq a_i, \\sum_{i=1}^\\infty b_i = 1\\right.\\right\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08206_pg4.pdf", "page": 1, "id": "2503.08206_pg4_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08206", "math": "f(x) = \\begin{dcases} 1/q & \\text{ if } x=p/q\\text{ with } (p,q)=1;\\\\ 0 & \\text{ if } x \\text{ is irrational;} \\end{dcases}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05844_pg8.pdf", "page": 1, "id": "2503.05844_pg8_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05844", "math": "Q=\\begin{bmatrix} 10& 0\\\\ 0& 50\\\\ \\end{bmatrix}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08176_pg20.pdf", "page": 1, "id": "2503.08176_pg20_math_010", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08176", "math": "3(k-m)+5\\not\\equiv 2\\pmod{3}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07696_pg3.pdf", "page": 1, "id": "2503.07696_pg3_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07696", "math": "\\gamma_1<\\gamma_2<\\ldots", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04897_pg4.pdf", "page": 1, "id": "2503.04897_pg4_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04897", "math": "\\rho(m)=\\sum_{i} {m_{(0)}}_i\\otimes {m_{(1)}}_i\\in M\\otimes C", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04897_pg4.pdf", "page": 1, "id": "2503.04897_pg4_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04897", "math": "\\sum_{(m)}m_{(0)}\\otimes m_{(1)}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04649_pg14.pdf", "page": 1, "id": "2503.04649_pg14_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04649", "math": "\\phi \\in [\\tfrac{\\pi}{5}, \\tfrac{4\\pi}{5}]", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08419_pg6.pdf", "page": 1, "id": "2503.08419_pg6_math_015", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08419", "math": "S_Z(P) \\simeq P[ \\dim X ]", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06191_pg26.pdf", "page": 1, "id": "2503.06191_pg26_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06191", "math": "\\gamma_n^{\\frac{m}{m+1}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06191_pg26.pdf", "page": 1, "id": "2503.06191_pg26_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06191", "math": "\\psi,|\\nabla \\psi|^2\\in L^1(\\R^n,\\gamma_n^\\frac{m}{m+1})", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06191_pg26.pdf", "page": 1, "id": "2503.06191_pg26_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06191", "math": "V_\\epsilon^\\star = \\frac{|x|^2}{2} - \\epsilon \\psi(x) + \\frac{\\epsilon^2}{2}|\\nabla \\psi|^2 + o(\\epsilon^3)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06191_pg26.pdf", "page": 1, "id": "2503.06191_pg26_math_009", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06191", "math": "V(x)=V_\\epsilon(x)=\\frac{|x|^2}{2}+\\epsilon \\psi(x)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05270_pg21.pdf", "page": 1, "id": "2503.05270_pg21_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05270", "math": "\\frac{n^{1/3}}{\\log^{1/3}n}\\exp\\left\\{- \\frac{\\beta_+^2b^3\\log n }{6}\\right\\} = \\frac{n^{1/3}}{\\log^{1/3}n} \\exp\\left\\{-\\frac{1}{6}\\log n\\right\\} = \\frac{n^{1/6}}{\\log^{1/3}n}\\to \\infty \\text{, for } n\\to \\infty", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05270_pg21.pdf", "page": 1, "id": "2503.05270_pg21_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05270", "math": "\\exp\\left\\{-\\frac{\\beta_+^2b^2\\log^{2/3}n}{4n^{2/3}}-\\frac{\\beta_+^2b\\log^{{1}/{3}}n}{12n^{4/3}}\\right\\}\\to 1 \\text{, for } n\\to\\infty", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04297_pg20.pdf", "page": 1, "id": "2503.04297_pg20_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04297", "math": "\\mathrm{exp} : ((\\mathfrak{g}_A)_0, \\mathrm{BCH}, 0) \\cong (\\Gamma_A, \\circledcirc, 1) : \\mathrm{log}\\ ", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09121_pg4.pdf", "page": 1, "id": "2503.09121_pg4_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09121", "math": "1 \\le \\ell \\le \\lfloor \\frac{p-k-1}{2k-1} \\rfloor", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09121_pg4.pdf", "page": 1, "id": "2503.09121_pg4_math_014", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09121", "math": "|A| + |B| \\ge p-k+\\lfloor \\frac{p-k-1}{2k-1} \\rfloor + 4 > \\frac{2k}{2k-1} p - k + 2", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09121_pg4.pdf", "page": 1, "id": "2503.09121_pg4_math_015", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09121", "math": "|A| + |B| \\ge (1+\\delta)p", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06020_pg21.pdf", "page": 1, "id": "2503.06020_pg21_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06020", "math": "\\|u\\|_{C^{2+\\beta,1+\\frac{\\beta}{2} }(\\Omega_{T_m - \\varepsilon} \\setminus \\Omega_{T_0})} \\leq Q^*", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06758_pg6.pdf", "page": 1, "id": "2503.06758_pg6_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06758", "math": "\\langle f_{\\alpha} : \\alpha < \\omega_{1} \\rangle", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06350_pg3.pdf", "page": 1, "id": "2503.06350_pg3_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06350", "math": "\\widetilde{X}^{n}\\in\\mathrm{co}\\{X^{m}:m\\geq n\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04467_pg7.pdf", "page": 1, "id": "2503.04467_pg7_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04467", "math": "\\left\\{ \\begin{aligned} \\frac{d}{dt}u + vAu &= B(u_{2})-B(u_{1})\\\\ u(0) &= 0 \\end{aligned} \\right. ,\\quad u \\in L^{\\infty}(0,T;V) \\cap L^{2}(0,T,D(A))", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04467_pg7.pdf", "page": 1, "id": "2503.04467_pg7_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04467", "math": "\\vert (B(u,u_{2}),u) \\vert \\leq c \\Vert u \\Vert_{L^{2}}^{3/2}\\Vert u_{2} \\Vert_{V}\\Vert u \\Vert_{V}^{\\frac{1}{2}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04467_pg7.pdf", "page": 1, "id": "2503.04467_pg7_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04467", "math": "\\left\\{ \\begin{aligned} (B(u_{1},u),u) &= 0\\\\ \\vert (B(u,u_{2}),u) \\vert &= \\vert \\int_{\\Omega} u \\cdot \\nabla u_{2} \\cdot u dxdy\\vert \\leq \\Vert u \\Vert_{L^{\\infty}}\\Vert \\nabla u_{2} \\Vert_{V} \\Vert u \\Vert_{L^{2}} \\end{aligned} \\right.", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04467_pg7.pdf", "page": 1, "id": "2503.04467_pg7_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04467", "math": "\\Vert u(t) \\Vert_{H}^{2} \\leq \\Vert u(0) \\Vert_{H}^{2} e^{\\frac{c^{2}}{v}\\int_{0}^{t}\\Vert u_{2}(s) \\Vert_{V}^{2}ds} = 0", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04467_pg7.pdf", "page": 1, "id": "2503.04467_pg7_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04467", "math": "H^{1}(\\Omega) \\hookrightarrow L^{\\infty}(\\Omega)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09488_pg11.pdf", "page": 1, "id": "2503.09488_pg11_math_009", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09488", "math": "I_1,\\dots, I_k \\sub [n]", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08151_pg2.pdf", "page": 1, "id": "2503.08151_pg2_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08151", "math": "\\ket{0}=\\begin{bmatrix} 1\\\\0 \\end{bmatrix},\\quad \\ket{1}=\\begin{bmatrix} 0\\\\1 \\end{bmatrix}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05989_pg1.pdf", "page": 1, "id": "2503.05989_pg1_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05989", "math": "\\omega(\\cdot, \\cdot): \\mathbb{R}\\times\\mathbb{R}\\rightarrow \\mathbb{R}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09155_pg16.pdf", "page": 1, "id": "2503.09155_pg16_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09155", "math": "J(x)=\\begin{bmatrix} -\\alpha_1 & 0 &0&\\dots& 0& -\\frac{m x_n^{m-1}}{(1+x_n^m)^2}\\\\ 1&-\\alpha_2&0&\\dots&0&0\\\\ 0 & 1&-\\alpha_3&\\dots&0&0\\\\ \\vdots&\\vdots&\\vdots&\\ddots&\\vdots&\\vdots\\\\ 0&0&0& \\dots&-\\alpha_{n-1}&0\\\\ 0&0&0& \\dots&1&-\\alpha_n \\end{bmatrix}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08494_pg2.pdf", "page": 1, "id": "2503.08494_pg2_math_005", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://arxiv.org/pdf/2503.08494", "math": "\\mathbf{x}^*=\\mathrm{col}(x_1^*,x_2^*,...,x_N^*) \\in \\Omega \\cap \\Upsilon", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06549_pg8.pdf", "page": 1, "id": "2503.06549_pg8_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06549", "math": "\\lambda_i^{(N)},\\lambda_i^{(N-1)}, \\lambda_i^{(N-2)}\\ldots", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06944_pg2.pdf", "page": 1, "id": "2503.06944_pg2_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06944", "math": "\\mathbf{H}_{r}^{\\text{NLoS}} \\in \\mathbb{C}^{M_r \\times N}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06944_pg2.pdf", "page": 1, "id": "2503.06944_pg2_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06944", "math": "e^{j 2 \\pi d_{\\text{R}} \\sin(\\gamma) \\left[ \\lfloor \\frac{n-1}{N_x} \\rfloor \\sin(\\zeta) + ((n-1)-\\lfloor \\frac{n-1}{N_x} \\rfloor N_x) \\cos(\\zeta) \\right]/\\lambda }, n = 1, 2, \\cdots, N", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09352_pg5.pdf", "page": 1, "id": "2503.09352_pg5_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09352", "math": "b_{i,l,j,l'}=D_{j}(\\frac{(E_{d,j})^{l'}.a_{i,l}}{l'!})", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09352_pg5.pdf", "page": 1, "id": "2503.09352_pg5_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09352", "math": "s=\\sum_{i_0=0}^\\infty\\sum_{i_1=0}^\\infty\\cdots\\sum_{i_{d-1}=0}^\\infty c_{i_0...i_{d-1}}(x_{0}-x_{0,n})^{i_0}\\cdots(x_{d-1}-x_{d-1,n})^{i_{d-1}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09352_pg5.pdf", "page": 1, "id": "2503.09352_pg5_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09352", "math": "Z=\\left( \\begin{matrix} I_{d\\times d}&0\\\\ (z_0,z_1,...,z_{d-1})&1 \\end{matrix} \\right)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09352_pg5.pdf", "page": 1, "id": "2503.09352_pg5_math_017", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09352", "math": "E_{d,i}c_{i_0...i_{d-1}}=0", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09352_pg5.pdf", "page": 1, "id": "2503.09352_pg5_math_025", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09352", "math": "z=[z_0:z_1:...:z_{d-1}:1]", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04667_pg3.pdf", "page": 1, "id": "2503.04667_pg3_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04667", "math": "\\begin{aligned} \\mathcal{L}_{\\text{SIMax}} = \\mathbb{E}_{z \\sim {p_{\\theta}(z|x)}} \\{ & \\mathbb{E}_{t \\sim T} \\left[-\\log q_{\\phi_t}(y_{t}|z)\\right] \\\\ & - \\alpha \\log \\frac{\\exp(\\text{sim}(z, z^{+}) / \\tau)}{\\sum_{z' \\in \\mathcal{B^{+}}} \\exp(\\text{sim}(z, z') / \\tau)} \\}, \\end{aligned}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07924_pg3.pdf", "page": 1, "id": "2503.07924_pg3_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07924", "math": "\\begin{aligned} H(\\sigma) &= \\sum_{i \\neq j} Q_{ij} \\cdot \\frac{(\\sigma_i + 1)(\\sigma_j + 1)}{4} + \\sum_i q_i \\cdot \\frac{\\sigma_i + 1}{2} \\\\ &= \\sum_{i \\neq j} \\frac{Q_{ij}}{4} \\sigma_i \\sigma_j + \\sum_i \\left( \\frac{q_i}{2} + \\frac{\\sum_{i \\neq j} (Q_{ij} + Q_{ji})}{4} \\right) \\sigma_i \\\\ &\\quad + \\left( \\frac{\\sum_i q_i}{2} + \\frac{\\sum_{i \\neq j} Q_{ij}}{4} \\right) \\end{aligned}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07924_pg3.pdf", "page": 1, "id": "2503.07924_pg3_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07924", "math": "\\begin{aligned} Q_{ij} = & \\, P_1 \\sum_{i \\neq j} x_{S,i} x_{S,j} + P_2 \\sum_{i \\neq j} x_{i,D} x_{j,D} \\\\ & + P_3 \\sum_{i \\not\\in \\{S,D\\}} \\left( \\sum_{(i,j) \\in E} \\sum_{\\substack{(i,k) \\in E \\\\ k \\neq j}} x_{i,j} x_{i,k} \\right. \\\\ & \\quad + \\left. \\sum_{(j,i) \\in E} \\sum_{\\substack{(k,i) \\in E \\\\ k \\neq j}} x_{j,i} x_{k,i} - 2 \\sum_{(i,j) \\in E} \\sum_{(k,i) \\in E} x_{i,j} x_{k,i} \\right) \\end{aligned}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07924_pg3.pdf", "page": 1, "id": "2503.07924_pg3_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07924", "math": "\\begin{aligned} q_i = & -P_1 \\sum_i x_{S,i} - P_2 \\sum_i x_{i,D} \\\\ & + P_3 \\sum_{i \\not\\in \\{S,D\\}} \\left( \\sum_{(i,j) \\in E} x_{i,j} + \\sum_{(k,i) \\in E} x_{k,i} \\right) + f(x) \\end{aligned}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06230_pg7.pdf", "page": 1, "id": "2503.06230_pg7_math_009", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06230", "math": "H_0=H\\lhd H_1 \\lhd...\\lhd H_n=L", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08800_pg9.pdf", "page": 1, "id": "2503.08800_pg9_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08800", "math": "x_i \\leq c_{i, \\Delta_n}^{P_{\\Delta_n}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08800_pg9.pdf", "page": 1, "id": "2503.08800_pg9_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08800", "math": "\\prod_{j = 1}^{P_{\\Delta_n}} F_{i, j} \\leq c_{i, \\Delta_n}^{P_{\\Delta_n}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08800_pg9.pdf", "page": 1, "id": "2503.08800_pg9_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08800", "math": "\\prod_{j = 1}^{P_{\\Delta_n}} F_{i, j} \\leq b_{i, \\Delta_n}^{P_{\\Delta_n}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08800_pg9.pdf", "page": 1, "id": "2503.08800_pg9_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08800", "math": "x_i \\leq b_{i, \\Delta_n}^{P_{\\Delta_n}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09135_pg6.pdf", "page": 1, "id": "2503.09135_pg6_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09135", "math": "\\boldsymbol{v}(t_1)({{\\rho}}(t_1), \\dot{{\\rho}}(t_1), {\\bar{Az}}(t_1), {\\bar{El}}(t_1), \\dot{\\bar{Az}}(t_1), \\dot{\\bar{El}}(t_1))", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09135_pg6.pdf", "page": 1, "id": "2503.09135_pg6_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09135", "math": "\\boldsymbol{v}(t_2)({{\\rho}}(t_1), \\dot{{\\rho}}(t_1), {\\bar{Az}}(t_1), {\\bar{El}}(t_1), \\dot{\\bar{Az}}(t_1), \\dot{\\bar{El}}(t_1))", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09135_pg6.pdf", "page": 1, "id": "2503.09135_pg6_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09135", "math": "\\boldsymbol{\\Delta}({{\\rho}}(t_1), \\dot{{\\rho}}(t_1), {\\bar{Az}}(t_1), {\\bar{El}}(t_1), \\dot{\\bar{Az}}(t_1, \\dot{\\bar{El}}(t_1))) = \\begin{pmatrix} \\rho^c(t_2) - {\\rho}(t_2) \\\\ \\dot{\\rho}^c(t_2) - \\dot{{\\rho}}(t_2) \\end{pmatrix}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09135_pg6.pdf", "page": 1, "id": "2503.09135_pg6_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09135", "math": "\\boldsymbol{r}(t_1)({{\\rho}}(t_1), {{\\rho}}(t_1), {\\bar{Az}}(t_1), {\\bar{El}}(t_1), \\dot{\\bar{Az}}(t_1), \\dot{\\bar{El}}(t_1))", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09135_pg6.pdf", "page": 1, "id": "2503.09135_pg6_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09135", "math": "\\boldsymbol{r}(t_2)({{\\rho}}(t_1), \\dot{{\\rho}}(t_1), {\\bar{Az}}(t_1), {\\bar{El}}(t_1), \\dot{\\bar{Az}}(t_1), \\dot{\\bar{El}}(t_1))", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04646_pg2.pdf", "page": 1, "id": "2503.04646_pg2_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04646", "math": "K \\subset \\{\\mu \\in P(X \\times Y): \\mu_X^* \\in P(X) \\text{ is the } X\\text{-marginal of } \\mu\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04245_pg7.pdf", "page": 1, "id": "2503.04245_pg7_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04245", "math": "h_x = % (1-\\norm{x}^2)^{-1} g_x", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07801_pg15.pdf", "page": 1, "id": "2503.07801_pg15_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07801", "math": "g_i\\ge\\prod_{\\substack{p~\\text{inert in~}K\\\\(p+1)\\mid M_{x_i}}}2>\\exp\\left((\\log2)\\exp\\left(C \\frac{\\log x_i}{\\log\\log x_i}\\right)\\right)>i", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07801_pg15.pdf", "page": 1, "id": "2503.07801_pg15_math_011", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07801", "math": "L(g_i)\\le M_{x_i}\\le x_i^2=(\\log i)^{(4/C)\\log\\log\\log i}<(\\log g_i)^{c_0\\log\\log\\log g_i}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06111_pg6.pdf", "page": 1, "id": "2503.06111_pg6_math_000", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://arxiv.org/pdf/2503.06111", "math": "\\bar{L}(n)\\mathbb{P}^x(\\tau_{B_{r_0}(x_0)}>\\tau_n)\\le \\bar{L}(|x-x_0|),\\qquad x\\in B^c_{r_0}(x_0)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06111_pg6.pdf", "page": 1, "id": "2503.06111_pg6_math_009", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06111", "math": "\\mathbb{P}^x(\\tau_{B_{r_0}(x_0)}=\\infty)\\le \\frac{\\bar{L}(|x-x_0|)}{\\bar L(\\infty)}<1,\\qquad x\\in B^c_{r_0}(x_0)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06111_pg6.pdf", "page": 1, "id": "2503.06111_pg6_math_012", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06111", "math": "\\mathbb{P}^x(\\tau_{B_{r_0}(x_0)}<\\infty)>0", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06958_pg1.pdf", "page": 1, "id": "2503.06958_pg1_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06958", "math": "\\beta(\\varphi)=\\sup_{\\mu\\in \\mathcal{M}_T(X)}\\int \\varphi\\ d\\mu", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06958_pg1.pdf", "page": 1, "id": "2503.06958_pg1_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06958", "math": "\\mathcal{A}^{\\mathbb{Z}^d}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05885_pg8.pdf", "page": 1, "id": "2503.05885_pg8_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05885", "math": "\\overline{B}^\\nu_{h,\\alpha} := \\big\\{ r \\in [1,\\infty) : m^\\nu([r, r+h]) \\geq \\frac{\\alpha h}{ r}\\big\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09034_pg7.pdf", "page": 1, "id": "2503.09034_pg7_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09034", "math": "H^{1}_{\\pm}(K_{\\infty, w}, E[p^{\\infty}]) \\coloneq \\varinjlim H^{1}_{\\pm}(K_{n, p}, E[p^{\\infty}])", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09034_pg7.pdf", "page": 1, "id": "2503.09034_pg7_math_013", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09034", "math": "B_{v_{\\infty}} \\coloneq E[p^{\\infty}]^{G_{K_{\\infty, v_{\\infty}}}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07088_pg3.pdf", "page": 1, "id": "2503.07088_pg3_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07088", "math": "E_q^{x}= e_{\\frac{1}{q}}^x = \\sum_{k=0}^{+\\infty} q^{\\frac{k(k-1)}{2}}\\frac{x^k}{[k]_q!}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07088_pg3.pdf", "page": 1, "id": "2503.07088_pg3_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07088", "math": "E_{q^2}^{-\\frac{q^2x^2}{[2]_q}} = \\sum_{k=0}^{+\\infty}\\frac{q^{k(k+1)}(q-1)^k}{(1-q^2)_{q^2}^k} x^{2k}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08187_pg4.pdf", "page": 1, "id": "2503.08187_pg4_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08187", "math": "\\sigma=0.5\\cdot\\mathbf{1}\\in\\mathbb{R}^n", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09123_pg4.pdf", "page": 1, "id": "2503.09123_pg4_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09123", "math": "i\\in\\mathbb{I}_{P^{(k)}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08235_pg3.pdf", "page": 1, "id": "2503.08235_pg3_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08235", "math": "F_{\\mu\\nu}=\\sum_k p_{\\bm \\lambda}(k)\\,\\partial_\\mu \\log p_{\\bm \\lambda}(k)\\, \\partial_\\nu \\log p_{\\bm \\lambda}(k) = \\sum_k \\frac{\\partial_\\mu p_{\\bm \\lambda}(k)\\, \\partial_\\nu p_{\\bm \\lambda}(k)}{p_{\\bm \\lambda}(k)} \\,", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06540_pg1.pdf", "page": 1, "id": "2503.06540_pg1_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06540", "math": "\\mathbf{a}(\\theta)=\\frac{1}{\\sqrt M} \\Big[1, \\ e^{j 2\\pi\\bar{d} \\sin\\theta}, \\ \\cdots, \\ e^{j 2\\pi (M-1)\\bar{d}\\sin\\theta}\\Big]^\\mathrm{T}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07965_pg7.pdf", "page": 1, "id": "2503.07965_pg7_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07965", "math": "X(\\theta_{i}): \\begin{bmatrix}x_{i} \\\\ p_{i} \\end{bmatrix} \\mapsto \\begin{bmatrix} \\cos(\\theta_{i}) & \\sin(\\theta_{i}) \\\\ -\\sin(\\theta_{i}) & \\cos(\\theta_i) \\end{bmatrix}\\begin{bmatrix}x_{i} \\\\ p_{i} \\end{bmatrix}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07965_pg7.pdf", "page": 1, "id": "2503.07965_pg7_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07965", "math": "\\lambda_{i}^{H} \\lambda_{n+1-i}^{V} \\equiv \\text{const}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07965_pg7.pdf", "page": 1, "id": "2503.07965_pg7_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07965", "math": "f_{0}(\\mathbf{z},R) = \\frac{6}{R^2 |B(R)|} \\chi_{B(R)} = \\frac{6}{R^2|B(R)|} \\Theta(R^2-|\\mathbf{z}|^2)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07965_pg7.pdf", "page": 1, "id": "2503.07965_pg7_math_010", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07965", "math": "\\mathcal{E}(\\mathbf{z},\\epsilon) = x^2 + \\epsilon^2 y^2 + p_{x}^2 + p_{y}^2", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08554_pg1.pdf", "page": 1, "id": "2503.08554_pg1_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08554", "math": "\\beta_2= \\frac{D_{\\rm W}}{4}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08554_pg1.pdf", "page": 1, "id": "2503.08554_pg1_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08554", "math": "\\beta_1=-\\frac{D_{\\rm W}}{4}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08554_pg1.pdf", "page": 1, "id": "2503.08554_pg1_math_010", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08554", "math": "h_{mk}=\\frac{\\sqrt{\\eta} e^{-2\\pi j \\left(\\frac{ 1}{\\lambda}\\left| {\\boldsymbol \\psi}_m - {\\boldsymbol \\psi}_k^{\\rm Pin}\\right| +\\frac{1}{\\lambda_g}\\left| {\\boldsymbol \\psi}_0^{\\rm Pin} - {\\boldsymbol \\psi}_k^{\\rm Pin}\\right| \\right)}}{ \\left| {\\boldsymbol \\psi} _m - {\\boldsymbol \\psi}_k^{\\rm Pin}\\right|}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08736_pg1.pdf", "page": 1, "id": "2503.08736_pg1_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08736", "math": "\\mathcal{E}_0 = \\mathbb{C}\\,I_{\\mathcal{H}}, \\quad\\text{and for each integer } t \\ge 1", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05334_pg17.pdf", "page": 1, "id": "2503.05334_pg17_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05334", "math": "y_1,\\ldots,y_s\\overset{i.i.d.}{\\sim}N(0,1)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.05218_pg5.pdf", "page": 1, "id": "2503.05218_pg5_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.05218", "math": "E(H)\\subset \\binom{[n]}{r}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06969_pg11.pdf", "page": 1, "id": "2503.06969_pg11_math_008", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://arxiv.org/pdf/2503.06969", "math": "L_i(u,t) = \\begin{cases} p_i(H(u,2t)) & \\text{if } 0 \\leq t \\leq \\frac12 \\\\ G(h_i(u), 2t-1) & \\text{if } \\frac12 \\leq t \\leq 1. \\end{cases}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06969_pg11.pdf", "page": 1, "id": "2503.06969_pg11_math_011", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06969", "math": "\\complement V_i= X\\backslash V_i", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06969_pg11.pdf", "page": 1, "id": "2503.06969_pg11_math_014", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06969", "math": "(U_i)_{0\\leq i \\leq n}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07910_pg7.pdf", "page": 1, "id": "2503.07910_pg7_math_006", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07910", "math": "I(C_n^{\\boxtimes d}, x) \\equiv (x+1)^m \\pmod{p}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08553_pg25.pdf", "page": 1, "id": "2503.08553_pg25_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.08553", "math": "\\varphi\\colon S^2\\to X", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08553_pg25.pdf", "page": 1, "id": "2503.08553_pg25_math_005", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://arxiv.org/pdf/2503.08553", "math": "\\eta(B(p, r_0))\\subset S^2\\setminus B(p_-, Lr)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.08553_pg25.pdf", "page": 1, "id": "2503.08553_pg25_math_009", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://arxiv.org/pdf/2503.08553", "math": "L\\coloneqq 2e^{\\delta^{-1}k_\\mathbf{I}(e_\\mathbf{I}(\\varphi) + 10^{-1}\\varepsilon)}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07509_pg2.pdf", "page": 1, "id": "2503.07509_pg2_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07509", "math": "\\hat{\\mathbf{s}} = g_{\\theta'}(\\mathbf{u}) = \\sigma(W'\\mathbf{u} + \\mathbf{b}')", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06725_pg7.pdf", "page": 1, "id": "2503.06725_pg7_math_000", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06725", "math": "\\operatorname{GoE}_m(t) = \\frac{u_m(t)}{\\Delta_m(t)}, \\forall m", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06725_pg7.pdf", "page": 1, "id": "2503.06725_pg7_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06725", "math": "v_{\\rm cpt}(x) = \\begin{cases} v^+_{\\rm cpt}(x) = (x - x_{\\rm ref})^{\\alpha_{\\rm cpt}}, ~x \\geq x_{\\rm ref};\\\\ v^-_{\\rm cpt}(x) = -\\lambda_{\\rm cpt} (x_{\\rm ref} - x)^{\\beta_{\\rm cpt}}, ~x < x_{\\rm ref}, \\end{cases}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07708_pg3.pdf", "page": 1, "id": "2503.07708_pg3_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07708", "math": "\\hat S_0(\\textbf{k}) = \\tau^z \\qquad \\hat{Q}_0=\\sum_\\mathbf{k} d_{\\mathbf{k}}^\\dag \\hat S_0(\\mathbf{k})d_{\\mathbf{k}} \\\\ \\hat S_1(\\textbf{k}) = \\cos k_z \\tau^z + \\sin k_z \\tau^x \\qquad \\hat{Q}_1=\\sum_\\mathbf{k} d_{\\mathbf{k}}^\\dag \\hat S_1(\\mathbf{k})d_{\\mathbf{k}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07708_pg3.pdf", "page": 1, "id": "2503.07708_pg3_math_010", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07708", "math": "\\mathbf{k}+2\\mathbf{K}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09398_pg1.pdf", "page": 1, "id": "2503.09398_pg1_math_004", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09398", "math": "( \\cdot ) ^{\\mathrm{H}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09398_pg1.pdf", "page": 1, "id": "2503.09398_pg1_math_005", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09398", "math": "\\overrightarrow{( \\cdot ) }", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09398_pg1.pdf", "page": 1, "id": "2503.09398_pg1_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09398", "math": "( \\cdot ) ^{\\mathrm{T}}", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.09398_pg1.pdf", "page": 1, "id": "2503.09398_pg1_math_008", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.09398", "math": "\\mathrm{Tr}\\left( \\cdot \\right)", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.06877_pg16.pdf", "page": 1, "id": "2503.06877_pg16_math_001", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.06877", "math": "\\psi: \\mathrm{M} \\to \\mathbb{R}^n", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.03879_pg4.pdf", "page": 1, "id": "2503.03879_pg4_math_007", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.03879", "math": "\\sum_{l=1}^N h_{l} = t_f", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.04577_pg2.pdf", "page": 1, "id": "2503.04577_pg2_math_003", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.04577", "math": "\\tfrac{1}{p} \\|x-y\\|^p", "ignore_dollar_delimited": false} | |
| {"pdf": "arxiv_math/2503.07542_pg14.pdf", "page": 1, "id": "2503.07542_pg14_math_002", "type": "math", "max_diffs": 0, "checked": null, "url": "https://arxiv.org/pdf/2503.07542", "math": "I_{v}^{(p)} \\triangleleft I_v", "ignore_dollar_delimited": false} | |
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| {"pdf": "headers_footers/0ed74b112dde3b3ce5e3a3d6c69a930afaad342c_page_1_processed.pdf", "page": 1, "id": "0ed74b112dde3b3ce5e3a3d6c69a930afaad342c_page_1_processed_pg1_header_00", "type": "absent", "max_diffs": 0, "checked": "verified", "url": "http://catalog.montana.edu/undergraduate/letters-science/physics/physics-minor-nonteaching/physics-minor-nonteaching.pdf", "text": "Physics Minor (Non-Teaching)", "case_sensitive": false, "first_n": null, "last_n": null} | |
| {"pdf": "headers_footers/d93aa3ed6cf33401e7427cff9f1feada5bae46e7_page_4.pdf", "page": 1, "id": "d93aa3ed6cf33401e7427cff9f1feada5bae46e7_page_4.pdf_manual_01", "type": "absent", "max_diffs": 0, "checked": "verified", "url": "http://jds.sbmu.ac.ir/article-1-1698-fa.pdf", "text": "98", "case_sensitive": false, "first_n": null, "last_n": 10} | |
| {"pdf": "long_tiny_text/17_pg34_pg1.pdf", "page": 1, "id": "17_pg34_pg1_text_07", "type": "present", "max_diffs": 2, "checked": null, "url": "https://archive.org/details/dli.ministry.02039/page/n23/mode/2up", "text": "The one road to favour was to lie through good work.s What Lord Mayo wished to see done for the improvement of all Native States has been done in the amplest manner by Sir Salar Jung for the territories of the Nizam.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/17_pg17_pg1.pdf", "page": 1, "id": "17_pg17_pg1_text_06", "type": "present", "max_diffs": 2, "checked": "verified", "url": "https://archive.org/details/dli.ministry.02039/page/n15/mode/2up", "text": "In 1851 the Governor-General insists that the efficient maintenance of the Force is a duty imposed on the Government of Hyderabad by the stipulations of existing treaties; and again, that it is 'necessary to fulfil the obligation of treaties.'", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/17_pg34_pg1.pdf", "page": 1, "id": "17_pg34_pg1_text_00", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/dli.ministry.02039/page/n23/mode/2up", "text": "well acquainted with the facts has stated, in his ineresting letter to the Times, that when the Resident informed Sir Salar Jung of the fall of Delhi he was told that the news had been already known three days in Hyderabad,", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/11_pg146_pg1.pdf", "page": 1, "id": "11_pg146_pg1_text_00", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://archive.org/details/dictonaryofarcha02hallrich/page/618/mode/2up", "text": "PERTE. (1) \u03a4\u03bf part. Still in use.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/20_pg49_pg1.pdf", "page": 1, "id": "20_pg49_pg1_text_04", "type": "present", "max_diffs": 2, "checked": "verified", "url": "https://archive.org/details/the-i-newspaper-january-4-2019/page/n49/mode/2up", "text": "These esoteric instruments tradable permits to emit carbon dioxide have soared by 200 per cent in a year, a gain that is causing hand-wringing, nail-biting and even panic in businesses that consume a lot of energy.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/17_pg24_pg1.pdf", "page": 1, "id": "17_pg24_pg1_text_01", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://archive.org/details/dli.ministry.02039/page/n23/mode/2up", "text": "The enhanced facilities for locomotion throughout the Peninsula, and for communication with Europe, and the more general employment of highly-enducated Indians,", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/16b_pg1.pdf", "page": 1, "id": "16b_pg1_text_05", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/randomhousecolle00dict_1/page/360/mode/2up", "text": "2. (of military personnel) to run away from (service, duty,", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/16b_pg1.pdf", "page": 1, "id": "16b_pg1_text_02", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/randomhousecolle00dict_1/page/360/mode/2up", "text": "des-ha-bille (dez'a b\u00ebl, -b\u00eb), n. dishabille.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/20_pg49_pg1.pdf", "page": 1, "id": "20_pg49_pg1_text_06", "type": "present", "max_diffs": 2, "checked": "verified", "url": "https://archive.org/details/the-i-newspaper-january-4-2019/page/n49/mode/2up", "text": "British steel-makers are up in arms; industry lobbyist UK Steel reckons its members pay power prices up to double those paid by French and German competitors.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/17_pg33_pg1.pdf", "page": 1, "id": "17_pg33_pg1_text_05", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/dli.ministry.02039/page/n32/mode/2up", "text": "that purpose made such rapid progress nnder British rule that the revenue", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/20_pg32_pg1.pdf", "page": 1, "id": "20_pg32_pg1_text_05", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://archive.org/details/the-i-newspaper-january-4-2019/page/n32/mode/2up", "text": "Early on in the film, we hear her characterised as \"a witch\", an \"evil-doer\" and \"anti-American zombie\".", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/11_pg186_pg1.pdf", "page": 1, "id": "11_pg186_pg1_text_02", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/dictonaryofarcha02hallrich/page/658/mode/2up", "text": "The deer daunteden in the delle,", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/13_pg162_pg1.pdf", "page": 1, "id": "13_pg162_pg1_text_05", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/encyclopediabrit0017unse/page/142/mode/2up", "text": "The Luther state offers the parish a selection from six names and then appoints the one chosen.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/20_pg18_pg1.pdf", "page": 1, "id": "20_pg18_pg1_text_01", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/the-i-newspaper-january-4-2019/page/n18/mode/2up", "text": "appointments, Stuart Ackland suggests (Your View, 3 January) that patients have to make an advance credit debit card \"booking\", with a charge deducted for a no-show.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/11_pg146_pg1.pdf", "page": 1, "id": "11_pg146_pg1_text_20", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/dictonaryofarcha02hallrich/page/618/mode/2up", "text": "PESIBLE. Peaceable. (A.-\u039d.)", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/16a_pg1.pdf", "page": 1, "id": "16a_pg1_text_01", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/randomhousecolle00dict_1/page/316/mode/2up", "text": "the bridge of Jason, slain by the magic of the jealous Medea.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/16a_pg1.pdf", "page": 1, "id": "16a_pg1_text_02", "type": "present", "max_diffs": 2, "checked": "verified", "url": "https://archive.org/details/randomhousecolle00dict_1/page/316/mode/2up", "text": "Crichton (krit/an), n. James (\"the Admirable Crichton\"),", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/16c_pg1.pdf", "page": 1, "id": "16c_pg1_text_05", "type": "present", "max_diffs": 2, "checked": "verified", "url": "https://archive.org/details/randomhousecolle00dict_1/page/820/mode/2up", "text": "Dutch prelate: bishop of Tours 3707-397.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/16a_pg1.pdf", "page": 1, "id": "16a_pg1_text_03", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/randomhousecolle00dict_1/page/316/mode/2up", "text": "Cofficial who makes public announcements.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/13_pg165_pg1.pdf", "page": 1, "id": "13_pg165_pg1_text_05", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/encyclopediabrit0017unse/page/145/mode/2up", "text": "By modifications of the treaty of Vienna the garrisoning of the fortress of Luxemburg had passed into Prussian hands,", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/20_pg46_pg1.pdf", "page": 1, "id": "20_pg46_pg1_text_02", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://archive.org/details/the-i-newspaper-january-4-2019/page/n46/mode/2up", "text": "If your mattress requires flipping and rotating then make", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/14e_pg1.pdf", "page": 1, "id": "14e_pg1_text_01", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/newencyclopaedia01chic/page/243/mode/2up", "text": "It involves the use of a variety of techniques all designed to \"distance\" the audience from the play and to jolt it into realizing that it is watching a the-atrical performance; thus, the audience's de gree of emotional identification with charac ters and events is strictly controlled, and it can more objectively and clearly perceive the \"real\" world reflected in the drama.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/14e_pg1.pdf", "page": 1, "id": "14e_pg1_text_02", "type": "present", "max_diffs": 3, "checked": "verified", "url": "https://archive.org/details/newencyclopaedia01chic/page/243/mode/2up", "text": "In the larger rings all the bond angles have the preferred value (about 109.5\u00b0); consequently, the atoms in the ring do not lie in one plane.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/14e_pg1.pdf", "page": 1, "id": "14e_pg1_text_03", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/newencyclopaedia01chic/page/243/mode/2up", "text": "This treaty reaty may in time serve as a model to raise the so-called minimum standards in the treatment of aliens.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/10a_pg1.pdf", "page": 1, "id": "10a_pg1_text_12", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://archive.org/details/oxfordstudentsdi0000oxfo/page/713/mode/2up", "text": "temperament /'tempr\u0259m\u0259nt/ noun [C,U] a", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/10a_pg1.pdf", "page": 1, "id": "10a_pg1_text_11", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/oxfordstudentsdi0000oxfo/page/713/mode/2up", "text": "temporarily /'tempr\u0259r\u0259li/adv.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/10a_pg1.pdf", "page": 1, "id": "10a_pg1_text_05", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/oxfordstudentsdi0000oxfo/page/713/mode/2up", "text": "tenant/'ten\u0259nt/ noun [C] a person who pays money", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/20_pg39_pg1.pdf", "page": 1, "id": "20_pg39_pg1_text_06", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/the-i-newspaper-january-4-2019/page/n39/mode/2up", "text": "Following Christmas Eve's Big Fat Quiz Of The Year, celebrity question-setters Jon Snow and Charles Dance (among others) tickle the much wider general knowledge of Sandi Toksvig - her Ql training coming in handy here - Joe Lycett, Katherine Ryan, David Baddiel, Frank Skinner and Big Narstie.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/10a_pg1.pdf", "page": 1, "id": "10a_pg1_text_01", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://archive.org/details/oxfordstudentsdi0000oxfo/page/713/mode/2up", "text": "template /'templert/ noun [C] 1 a shape cut out of", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/17_pg2_pg1.pdf", "page": 1, "id": "17_pg2_pg1_text_06", "type": "present", "max_diffs": 3, "checked": "verified", "url": "https://archive.org/details/dli.ministry.02039/page/n1/mode/2up", "text": "But from the time that Poorneah won the", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/17_pg2_pg1.pdf", "page": 1, "id": "17_pg2_pg1_text_17", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/dli.ministry.02039/page/n1/mode/2up", "text": "who ask, \"Who is Sir Salar Jung?,, And there are many thousands who", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/17_pg2_pg1.pdf", "page": 1, "id": "17_pg2_pg1_text_61", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://archive.org/details/dli.ministry.02039/page/n1/mode/2up", "text": "did not interfere in the internal affairs of the State with a view to their", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/17_pg17_pg1.pdf", "page": 1, "id": "17_pg17_pg1_text_02", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/dli.ministry.02039/page/n15/mode/2up", "text": "If he had produced the cash that was demanded in 1853, when similar pressure was applied, he would have avoided the sequestration of his districts.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/17_pg2_pg1.pdf", "page": 1, "id": "17_pg2_pg1_text_49", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/dli.ministry.02039/page/n1/mode/2up", "text": "Dowlah, who had just been forced by Lord Dalhousie to assign to the", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/11_pg146_pg1.pdf", "page": 1, "id": "11_pg146_pg1_text_10", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://archive.org/details/dictonaryofarcha02hallrich/page/618/mode/2up", "text": "somely before and upon his haunches, and av", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/17_pg2_pg1.pdf", "page": 1, "id": "17_pg2_pg1_text_28", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/dli.ministry.02039/page/n1/mode/2up", "text": "were, we should, no doubt, have been acquainted with the particulars, but", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/13_pg857_pg1.pdf", "page": 1, "id": "13_pg857_pg1_text_01", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://archive.org/details/encyclopediabrit0017unse/page/837/mode/2up", "text": "He died on the 6th of December 1734.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "long_tiny_text/13_pg165_pg1.pdf", "page": 1, "id": "13_pg165_pg1_text_03", "type": "present", "max_diffs": 3, "checked": "verified", "url": "https://archive.org/details/encyclopediabrit0017unse/page/145/mode/2up", "text": "The treaty of London, signed on the 11th of May 1867, decided that the Prussian garrison must be", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "multi_column/0208fbb5d6b646f972f4702428ad2cede5c5_page_1_pg1.pdf", "page": 1, "id": "0208fbb5d6b646f972f4702428ad2cede5c5_page_1.pdf_order_5256d42b", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://www.asmr.us/Portals/0/Documents/Conference-Proceedings/1991/0403-Moore.pdf", "before": "Natural revegetation of these lands has proven limited even after several decades (Sieg et al 1983).", "after": "Therefore, most efforts toward reclaiming these spoils have centered upon applying various organic and/or inorganic amendments."} | |
| {"pdf": "multi_column/07070be1377058b90fd5fce677361eda4e3f_page_9_pg1.pdf", "page": 1, "id": "07070be1377058b90fd5fce677361eda4e3f_page_9.pdf_order_47fe2ee7", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://hal.archives-ouvertes.fr/hal-00257806/file/i3d2008-gascuel.pdf", "before": "ARTIS is a research team of the INRIA Rh\u00f4ne-Alpes, part of the LJK;", "after": "LJK is UMR 5224, a joint research laboratory of CNRS, INRIA, INPG, U. Grenoble I and U. Grenoble II."} | |
| {"pdf": "multi_column/01119fb525785eb7153ee600241ff1e01959_page_2_pg1.pdf", "page": 1, "id": "01119fb525785eb7153ee600241ff1e01959_page_2.pdf_order_528457cb", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://dash.harvard.edu/bitstream/handle/1/4595270/1566653.pdf?sequence=1", "before": "In August 1993, the patient was referred to occupational medicine for the dermatitis.", "after": "An erythematous, scaly area extended over the posterior neck and upper back, and he had an intertriginous rash under the abdominal skin fold and an erythematous rash with circumscribed, raised edges on the sternum and upper thighs."} | |
| {"pdf": "multi_column/0208fbb5d6b646f972f4702428ad2cede5c5_page_1_pg1.pdf", "page": 1, "id": "0208fbb5d6b646f972f4702428ad2cede5c5_page_1.pdf_order_11acad29", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://www.asmr.us/Portals/0/Documents/Conference-Proceedings/1991/0403-Moore.pdf", "before": "Although presently mined areas are being reclaimed according to current laws, thousands of hectares of orphan spoils existed a decade ago that were abandoned in a derelict state prior to enactment of Wyoming's reclamation law in 1973.", "after": "Several characteristics of bentonite spoil make reclamation difficult (Schuman et al 1984), including high expanding clay and soluble salts (particularly Na) content."} | |
| {"pdf": "multi_column/081875a1035e34dee439b9a2a3a55e319405_page_17_pg1.pdf", "page": 1, "id": "081875a1035e34dee439b9a2a3a55e319405_page_17.pdf_order_49ee91eb", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://www.lanl.gov/science/weapons_journal/wj_pubs/11nwj2-05.pdf", "before": "are dramatically different from those of other metalfoams currently being produced", "after": "LANL team members who contributed to this"} | |
| {"pdf": "multi_column/09f90a8fad0997f7cf454cbcbe79cab3bc0f_page_2_pg1.pdf", "page": 1, "id": "09f90a8fad0997f7cf454cbcbe79cab3bc0f_page_2.pdf_order_0d70c739", "type": "order", "max_diffs": 1, "checked": "verified", "url": "http://aclweb.org/anthology/C00-1043", "before": "Knowledge-based Question/Answering Architecture", "after": "Throughout all this processing, the NLP techniques are limited to (a) named entity recognition; (b) semantic classification of the question type, based on information provided by an off-line question taxonomy and semantic class information available from WordNet (Fellbaum 1998); and (c) phrasal parsing produced by enhancing Brill's part-of-speech tagger with some rules for phrase formation."} | |
| {"pdf": "multi_column/09f90a8fad0997f7cf454cbcbe79cab3bc0f_page_1_pg1.pdf", "page": 1, "id": "09f90a8fad0997f7cf454cbcbe79cab3bc0f_page_1.pdf_order_1565380e", "type": "order", "max_diffs": 1, "checked": "verified", "url": "http://aclweb.org/anthology/C00-1043", "before": "Recently, a new trend in information processing from texts has emerged.", "after": "The idea of building open-domain Q/A systems that perform on real-world document collections was initiated by the eighth Text REtrieval Conference (TREC-8), by organizing the first competition of answering fact-based questions such as \"Who came up with the name, El Ni\u00f1o?\"."} | |
| {"pdf": "multi_column/06ba2a90e81d76b586e6b884bf67133012a9_page_8_pg1.pdf", "page": 1, "id": "06ba2a90e81d76b586e6b884bf67133012a9_page_8.pdf_order_ce82b35f", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://oup.silverchair-cdn.com/oup/backfile/Content_public/Journal/humupd/21/1/10.1093_humupd_dmu041/3/dmu041.pdf?Expires=1492719436&Signature=OM3cTfS9IZhxMWVGVQPBSsmOuEu7xRovl0H0kVbJ-vinTY6aTyyiFWbkJzy28c5qzmfIUEogQmJoSy8SEufb3EzWBSsvCGZqWD59jk6OwrAVayeSU-hbb2o5dBoi7STIdo9j96YjCqFGpNYgOqv9QmBBczpTjleYChneFkVl4DBp9WaChUCwLNcZUoET3DwC-jXp59jG4e-cpIYBsRva7Y-JNDKRtFHWNaAzrsH6EkpW515zy~xNu5Pec~c5ZSKvzvMRc0PPhICaewQQRmCr4iFQ4LL~zLwoaNM5UKfa~IVocNQP1rQGV1u-d7g4dCJa-ps2Su2nsuXc4aWYWIDXDw__&Key-Pair-Id=APKAIUCZBIA4LVPAVW3Q", "before": "(Malanchere et al., 1997;", "after": "Erlebacher, 2013). As B cells are the final effectors of humoral immunity, we focus on the modulations in the B cell compartment and their potential influence on vaccine-induced antibody responses."} | |
| {"pdf": "multi_column/04e88521bffcae275b79ed2c89e24c1f8855_page_1_pg1.pdf", "page": 1, "id": "04e88521bffcae275b79ed2c89e24c1f8855_page_1.pdf_order_9ad6d1f8", "type": "order", "max_diffs": 2, "checked": null, "url": "http://drahilasamyent.com/images/article/PapillarythyroidCainthyroglossalcyst.pdf", "before": "Ravi Ramalingam 1, K. K. Ramalingam 2, A. V. Ramesh 3, S. Mahesh Prabhu 4,", "after": "We report a case of Thyroglossal Cyst who"} | |
| {"pdf": "multi_column/0a7e813e2010ecd8239725c32c859fe00c92_page_2_pg1.pdf", "page": 1, "id": "0a7e813e2010ecd8239725c32c859fe00c92_page_2.pdf_order_b06ed1c4", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://hrcak.srce.hr/file/361764", "before": "Mene je jako za\u010dudilo da jedan mu\u0161ki redatelj nije imao sluha za potrebbe glumice.", "after": "Tamo sam igrala Maju Rubek, \u017eenu slavnog umjetnika, ali starca."} | |
| {"pdf": "multi_column/0005784d0d255f6652180433936fa2998188_page_4_pg1.pdf", "page": 1, "id": "0005784d0d255f6652180433936fa2998188_page_4.pdf_order_c5b84575", "type": "order", "max_diffs": 0, "checked": "verified", "url": "http://erichorvitz.com/sigdial2015_incremental_coordination.pdf", "before": "By the way, would you mind [...]\" Another important question is how to automatically coordinate the robot's physical pointing gestures when repeating phrases or when phrases are interrupted.", "after": "Further tuning of the timings of the pauses, contingent on the dialog state and expectations about when the attention might return, as well as a tighter integration with the engagement model might be warranted."} | |
| {"pdf": "multi_column/06ba2a90e81d76b586e6b884bf67133012a9_page_8_pg1.pdf", "page": 1, "id": "06ba2a90e81d76b586e6b884bf67133012a9_page_8.pdf_order_1ce1f177", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://oup.silverchair-cdn.com/oup/backfile/Content_public/Journal/humupd/21/1/10.1093_humupd_dmu041/3/dmu041.pdf?Expires=1492719436&Signature=OM3cTfS9IZhxMWVGVQPBSsmOuEu7xRovl0H0kVbJ-vinTY6aTyyiFWbkJzy28c5qzmfIUEogQmJoSy8SEufb3EzWBSsvCGZqWD59jk6OwrAVayeSU-hbb2o5dBoi7STIdo9j96YjCqFGpNYgOqv9QmBBczpTjleYChneFkVl4DBp9WaChUCwLNcZUoET3DwC-jXp59jG4e-cpIYBsRva7Y-JNDKRtFHWNaAzrsH6EkpW515zy~xNu5Pec~c5ZSKvzvMRc0PPhICaewQQRmCr4iFQ4LL~zLwoaNM5UKfa~IVocNQP1rQGV1u-d7g4dCJa-ps2Su2nsuXc4aWYWIDXDw__&Key-Pair-Id=APKAIUCZBIA4LVPAVW3Q", "before": "(Medina et al., 2000). Consistently, the overall antibody titers to influenza infection are lower in pregnant mice", "after": "(Christiansen et al., 1976;"} | |
| {"pdf": "multi_column/0a7e813e2010ecd8239725c32c859fe00c92_page_2_pg1.pdf", "page": 1, "id": "0a7e813e2010ecd8239725c32c859fe00c92_page_2.pdf_order_3e896fa6", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://hrcak.srce.hr/file/361764", "before": "A onda se jednom dogodila iznimno komi\u010dna situacija: pokraj prvog \u010dina, za vrijeme dramske pauze, najjednoput erno \u010duli hihotanje: vatrogasac je zaspao gore na mostu.", "after": "Rekao je da on ne razumije da on nikada ne bi mogao biti glumac jer mi moramo iz ve\u010deri u ve\u010der igrati jednu te istu predstavu, kako da mu znao da predstava tek nakon premijere zapo\u010dinje svoj \u017eivot."} | |
| {"pdf": "multi_column/031262e6346a8b7db19239800839b132c1ce_page_13_pg1.pdf", "page": 1, "id": "031262e6346a8b7db19239800839b132c1ce_page_13.pdf_order_65f71ad3", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://bandasanlawrenz.com/wp-content/uploads/2010/06/Harga-Nr-87-1.pdf", "before": "Wara imbag\u0127ad sema' li kienet \u0121erbet u mietu 17 il-ru\u0127.", "after": "Minbarra l-kitba Fr. Adami kellu sehem f'radjiijiet tal-kommunita u hemm jag\u0127mel omeliji kif ukoll intervisti ta' natura spirituwali."} | |
| {"pdf": "multi_column/0a7e813e2010ecd8239725c32c859fe00c92_page_2_pg1.pdf", "page": 1, "id": "0a7e813e2010ecd8239725c32c859fe00c92_page_2.pdf_order_db6f3a51", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://hrcak.srce.hr/file/361764", "before": "Meni je to bilo u\u017easno \u017eao.", "after": "On me je blijedo gledao, uop\u0107e nije razumio o \u010demu ja govorim, pitao me Zar se ti mo\u017eda boji\u0161 da \u0107e\u0161 u tom debelom \u0161toftu izgledati deblje?"} | |
| {"pdf": "multi_column/0cf93d937e0f519965d4ff67daec8dd5dea1_page_5_pg1.pdf", "page": 1, "id": "0cf93d937e0f519965d4ff67daec8dd5dea1_page_5.pdf_order_2ed78fdc", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://www.pnas.org/content/pnas/86/22/9015.full.pdf", "before": "B 257, 45-62.", "after": "Papadopoulos, G. C., Parnavelas, J. G. & Buijs, R. (1987) Neurosci."} | |
| {"pdf": "multi_column/0a7e813e2010ecd8239725c32c859fe00c92_page_2_pg1.pdf", "page": 1, "id": "0a7e813e2010ecd8239725c32c859fe00c92_page_2.pdf_order_de624a67", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://hrcak.srce.hr/file/361764", "before": "Ti ljudi nisu mogli se stalno prestavlja odsta-ni na trajnhu, iako ome\u0111eni u svojim tijelima.", "after": "U podjeli se nalaze Tonko Lonza (naslovni lik), Fabijan \u0160ovagovi\u0107, Bo\u017eidar Boban i drugi Marko Antolija de Dominisa, u Ljubici Jovi\u0107 igrala je Neda Spasi\u0107 Paro."} | |
| {"pdf": "multi_column/031262e6346a8b7db19239800839b132c1ce_page_13_pg1.pdf", "page": 1, "id": "031262e6346a8b7db19239800839b132c1ce_page_13.pdf_order_5459bd92", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://bandasanlawrenz.com/wp-content/uploads/2010/06/Harga-Nr-87-1.pdf", "before": "Meta staqsejtu dwar xi anedottu minn \u0127afna li kellu hu semmigli fatt meta darba mar jirri biex jil\u0127aq karrozza tal-linja f'Arequipa u ma' la\u0127aqhiex bi ftit.", "after": "Hu b'sin\u010berita we\u0121ibni li sakem il-mo\u0127\u0127 u s-saqqajn jibqg\u0127u tajbin jibqa fil-missjoni fl-Awstralja jew fejn jintbag\u0127at mis-superjuri tieg\u0127u."} | |
| {"pdf": "multi_column/0a7e813e2010ecd8239725c32c859fe00c92_page_2_pg1.pdf", "page": 1, "id": "0a7e813e2010ecd8239725c32c859fe00c92_page_2.pdf_order_45e2eb29", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://hrcak.srce.hr/file/361764", "before": "A ovi ljudi u trajnhu - oni su jedva izdr\u017eali da ne eksplodira-ju od smijeha.", "after": "U\u017eivala sam u tom poslu."} | |
| {"pdf": "multi_column/031262e6346a8b7db19239800839b132c1ce_page_13_pg1.pdf", "page": 1, "id": "031262e6346a8b7db19239800839b132c1ce_page_13.pdf_order_6a0367be", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://bandasanlawrenz.com/wp-content/uploads/2010/06/Harga-Nr-87-1.pdf", "before": "Wara l-\u0127sieb hu li jirtira u g\u0127alkemm ikun jog\u0127od id-dar tas-So\u010bjeta' r-Rabat pero' bi \u0127siebu jg\u0127in \u0127afna fill- Parro\u010b\u010ba ta' San Lawrenz.", "after": "B'dan il-\u0127sieb sellimtlu flwaqt li f'isimkom awgurjtlu g\u0127omor twil ta' \u0127idma fil-missjoni imbag\u0127ad wara g\u0127al \u0127idma o\u0127ra f'Malta u g\u0127ala le... fil-Birgu li tant i\u0127obb."} | |
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| {"pdf": "multi_column/0e5f0c3447c4f1335b330d58b5e14d6f15b1_page_1_pg1.pdf", "page": 1, "id": "0e5f0c3447c4f1335b330d58b5e14d6f15b1_page_1.pdf_order_001c27d7", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://cjasn.asnjournals.org/content/clinjasn/5/5/762.full.pdf?with-ds=yes", "before": "\u2016Metabolism Associates, New Haven, Connecticut; and \u00b6Renal Research Institute, New York, New York", "after": "Phone: 734-998-6611;"} | |
| {"pdf": "multi_column/0621a0090414e4681e90a4e1ea543acca910_page_31_pg1.pdf", "page": 1, "id": "0621a0090414e4681e90a4e1ea543acca910_page_31.pdf_order_306f9cd8", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://halshs.archives-ouvertes.fr/halshs-01519988/file/515_P_41618_58a42e62a8015_4.pdf", "before": "David-Elbiali M. (2000) - La Suisse occidentale au IIe mill\u00e9naire av.", "after": "Georges V. (2009) - Le Forez du VI e au I er mill\u00e9naire av."} | |
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| {"pdf": "multi_column/0083fb2109e58be50aec2eca07fcbfe1230b_page_1_pg1.pdf", "page": 1, "id": "0083fb2109e58be50aec2eca07fcbfe1230b_page_1.pdf_order_c18b09a4", "type": "order", "max_diffs": 2, "checked": "verified", "url": "http://www.faculty.virginia.edu/skrutskie/images/i1116.pdf", "before": "1995 Instructions for Form 1116", "after": "If you want to change your election to take a deduction instead of a credit or a credit instead of a deduction, you must do so within a special 10-year limitation period."} | |
| {"pdf": "multi_column/0621a0090414e4681e90a4e1ea543acca910_page_31_pg1.pdf", "page": 1, "id": "0621a0090414e4681e90a4e1ea543acca910_page_31.pdf_order_b8032b40", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://halshs.archives-ouvertes.fr/halshs-01519988/file/515_P_41618_58a42e62a8015_4.pdf", "before": "Cupit\u00f2 M. (2012) - Dinamiche costruttive e di degrado del sistema aggere-fossato della terramara di Castione dei Marchesi (Parma).", "after": "J.-C. : chronologie, culture, int\u00e9gration europ\u00e9enne, Lausanne, CAR (Cahiers d'arch\u00e9ologie romande, 80), 570 p."} | |
| {"pdf": "multi_column/0621a0090414e4681e90a4e1ea543acca910_page_31_pg1.pdf", "page": 1, "id": "0621a0090414e4681e90a4e1ea543acca910_page_31.pdf_order_fc71f647", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://halshs.archives-ouvertes.fr/halshs-01519988/file/515_P_41618_58a42e62a8015_4.pdf", "before": "Courtois J.-C. (1960a) - L'\u00e2ge du Bronze dans les Hautes-Alpes, Gallia Pr\u00e9histoire, 3, p. 47-108.", "after": "Delaporte Y. (1991) - Les v\u00eatements : les soci\u00e9t\u00e9s traditionnelles, in J. Poirier (dir.), Histoire des m\u0153urs, 1."} | |
| {"pdf": "multi_column/02a3e23da54b82c414d272051b0b5d8f44d8_page_16_pg1.pdf", "page": 1, "id": "02a3e23da54b82c414d272051b0b5d8f44d8_page_16.pdf_order_18953a99", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://media.neliti.com/media/publications/276812-persepsi-pejabat-birokrasi-pemerintah-da-1c557b42.pdf", "before": "Berikut ini wawancara penulis Bapak Marjam Wali, S.Sos., M.Msir selaku Staf Ahli Bupati bidang Pembangunan di Sekretariat Daerah Kabupaten Buton sebagai berikut:", "after": "Uang insentif tambahan penghasilan buat pegawai pembagiannya sama rata saja, Tidak ada pemikiran untuk mengubah kebiasaan yang sudah mengakar dalam organisasi pemerintah daerah.\""} | |
| {"pdf": "multi_column/0208fbb5d6b646f972f4702428ad2cede5c5_page_8_pg1.pdf", "page": 1, "id": "0208fbb5d6b646f972f4702428ad2cede5c5_page_8.pdf_order_e8b33660", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://www.asmr.us/Portals/0/Documents/Conference-Proceedings/1991/0403-Moore.pdf", "before": "It persisted for canopy cover of western wheatgrass, the most dominant individual perennial grass species (see Table 4).", "after": "Results indicate that the effectiveness of a 1987 surface application of gypsum in reducing spoil sodicity during 1988, 1989, and 1990 (Mehring 1991) induced a remarkably rapid enhancement of plant growth during these 3 years."} | |
| {"pdf": "multi_column/0b045ab838c05c4ff1ac844caf826f8f368d_page_30_pg1.pdf", "page": 1, "id": "0b045ab838c05c4ff1ac844caf826f8f368d_page_30.pdf_order_77949a5a", "type": "order", "max_diffs": 1, "checked": "verified", "url": "http://www.dod.mil.za/sasoldier/2015/SoldVol22%20no1%20net.pdf", "before": "The first day took off with military displays by 9 SA Infantry Battalion (SA Army) demonstrating counter-attack tactics with smoke grenades and rifle shooting to the amazement of the learners from the surrounding primary schools.", "after": "The Human Resources Section offered information on careers in the SANDF which included specialised avionics, combat, engineering, maritime, technical, military health occupations and electronics."} | |
| {"pdf": "multi_column/0621a0090414e4681e90a4e1ea543acca910_page_31_pg1.pdf", "page": 1, "id": "0621a0090414e4681e90a4e1ea543acca910_page_31.pdf_order_ed9c82c9", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://halshs.archives-ouvertes.fr/halshs-01519988/file/515_P_41618_58a42e62a8015_4.pdf", "before": "Courtois J.-C. (1960b) - Les d\u00e9p\u00f4ts de fondeur de Vernaison (Rh\u00f4ne) et de la Poype-Vaugris (Is\u00e8re), Cahiers rhodaniens, 7, p. 3-25.", "after": "Eagleman D. (2013) - Incognito : les vies secr\u00e8tes du cerveau, Paris, Robert Laffont, 349 p."} | |
| {"pdf": "multi_column/02a3e23da54b82c414d272051b0b5d8f44d8_page_16_pg1.pdf", "page": 1, "id": "02a3e23da54b82c414d272051b0b5d8f44d8_page_16.pdf_order_6fd4e73d", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://media.neliti.com/media/publications/276812-persepsi-pejabat-birokrasi-pemerintah-da-1c557b42.pdf", "before": "Keluwesan pada aturan, inovasi, kreativitas, efisiensi, efektivitas dan akuntabilitas selalu menjadi pendorong untuk terciptanya pemerintahan yang bergaya wirausaha selama tidak bertentangan dengan misi yang diemban organisasi.", "after": "Dari hasil penilaian tersebut terlihat bahwa pemerintah belum mengembangkan bentuk dan sifat komunikasi dua arah dan terbuka dalam suasana kerja yang kondusif."} | |
| {"pdf": "multi_column/0621a0090414e4681e90a4e1ea543acca910_page_4_pg1.pdf", "page": 1, "id": "0621a0090414e4681e90a4e1ea543acca910_page_4.pdf_order_49b10d8b", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://halshs.archives-ouvertes.fr/halshs-01519988/file/515_P_41618_58a42e62a8015_4.pdf", "before": "L'ornementation des bracelets de l'\u00e2ge du Bronze europ\u00e9en : analyse descriptive et perspectives.", "after": "Cette suite d'\u00e9nonc\u00e9s normatifs (Habermas, 1976, p. 551) se produit au cours du crit\u00e9rium exp\u00e9rimental, selon la formule de Claude Bernard, promoteur de ce processus d'analyse dans le domaine de la biologie m\u00e9dicale (1865)."} | |
| {"pdf": "multi_column/0083fb2109e58be50aec2eca07fcbfe1230b_page_5_pg1.pdf", "page": 1, "id": "0083fb2109e58be50aec2eca07fcbfe1230b_page_5.pdf_order_7ff26593", "type": "order", "max_diffs": 1, "checked": "verified", "url": "http://www.faculty.virginia.edu/skrutskie/images/i1116.pdf", "before": "*Net capital gain does not include any amount that a taxpayer elects under section 163(d) to treat as investment income for purposes of the investment interest expense limitation.", "after": "The other $8,000 ($20,000 - $12,000) of itemized deductions are directly allocable to the income on Form 1116, line 1."} | |
| {"pdf": "multi_column/031a888e402c82517f213222ae97147dd7dc_page_2_pg1.pdf", "page": 1, "id": "031a888e402c82517f213222ae97147dd7dc_page_2.pdf_order_f5a41fc9", "type": "order", "max_diffs": 0, "checked": "verified", "url": "http://www.kky.zcu.cz/en/publications/1/ZochovaP_2005_ModifiedDISTBIC_1.pdf", "before": "is the covariance matrix of the feature vectors of both windows together, and d is the dimension of the feature vectors.", "after": "For that reason the conjunction in (2) was substituted with the disjunction, i.e. a local maximum was regarded as a potential speaker change point if it satisfied the condition"} | |
| {"pdf": "multi_column/027880a87e3c2ad4cf8c05f477597c0c6da7_page_7_pg1.pdf", "page": 1, "id": "027880a87e3c2ad4cf8c05f477597c0c6da7_page_7.pdf_order_c8d866a0", "type": "order", "max_diffs": 0, "checked": "verified", "url": "http://repository.ubn.ru.nl/bitstream/handle/2066/34957/34957.pdf?sequence=1", "before": "time, the slope representing the specific growth rate during the exponential phase", "after": "dissolved hydrogen partial pressure during linear growth;"} | |
| {"pdf": "multi_column/065d792cf3923fc76a17183cfd13480cd51d_page_9_pg1.pdf", "page": 1, "id": "065d792cf3923fc76a17183cfd13480cd51d_page_9.pdf_order_54ef7097", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://440ejournals.uni-hohenheim.de/index.php/Grundlagen/article/download/73/41", "before": "Stalld\u00fcnger s. D\u00fcngung, D\u00fcnger (einschl. Ver\u00adteilung) und s. Viehhaltung", "after": "Internationaler CIGR-Kongre\u00df f\u00fcr Agrar\u00adtechnik, 4.-8. Sept. 1989 in Dublin R S. 70/71"} | |
| {"pdf": "multi_column/0208fbb5d6b646f972f4702428ad2cede5c5_page_8_pg1.pdf", "page": 1, "id": "0208fbb5d6b646f972f4702428ad2cede5c5_page_8.pdf_order_8c939f8a", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://www.asmr.us/Portals/0/Documents/Conference-Proceedings/1991/0403-Moore.pdf", "before": "Within each species, values followed by same letter are not significantly different at P \u2264 0.10.", "after": "Accurate field differentiation of these 2 species was not possible."} | |
| {"pdf": "multi_column/081875a1035e34dee439b9a2a3a55e319405_page_47_pg1.pdf", "page": 1, "id": "081875a1035e34dee439b9a2a3a55e319405_page_47.pdf_order_c0eb32a4", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://www.lanl.gov/science/weapons_journal/wj_pubs/11nwj2-05.pdf", "before": "\"the very intense flash of light\" that seemed \"brighter . . . than in full daylight.\" Through the glass, he saw \"a conglomeration", "after": "Looking directly at the explosion 3 seconds later, he saw \"a reddish glowing smoke ball rising with a thick stem of dark brown color... surrounded by a blue glow.\""} | |
| {"pdf": "multi_column/01460d3dc3eca92c0d1a17eff846fa682f3d_page_6_pg1.pdf", "page": 1, "id": "01460d3dc3eca92c0d1a17eff846fa682f3d_page_6.pdf_order_2f3af8ce", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://pure.tudelft.nl/portal/files/55614946/WCNC2019.pdf", "before": "where each cluster-level node represents a cluster. If there exists edges betweentwo clusters as in Fig. 6.(a), we connect the two cluster", "after": " are at least two benefits of utilizing SDN control in cluster-level routing. Firstly, compared with SDN management for every node in WSN,"} | |
| {"pdf": "multi_column/0904c7071324813f138e96ed004bbc613748_page_6_pg1.pdf", "page": 1, "id": "0904c7071324813f138e96ed004bbc613748_page_6.pdf_order_22ca6197", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://www.aanda.org/articles/aa/pdf/2010/07/aa13487-09.pdf", "before": "Note that this is twice the damping rate of the situation with a very smooth velocity profile (see Eq. (28)) when", "after": "It is known that without flows this approximation works very well even for thick layers."} | |
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| {"pdf": "multi_column/0083fb2109e58be50aec2eca07fcbfe1230b_page_8_pg1.pdf", "page": 1, "id": "0083fb2109e58be50aec2eca07fcbfe1230b_page_8.pdf_order_9835192e", "type": "order", "max_diffs": 0, "checked": "verified", "url": "http://www.faculty.virginia.edu/skrutskie/images/i1116.pdf", "before": "and no reduction was made to U.S.source income. In situations where U.S. source income is reduced ", "after": "Individuals: Enter the amount from Form 1040, line 35."} | |
| {"pdf": "multi_column/0925342e1efabb7957efa34203f65d3cbc4d_page_6_pg1.pdf", "page": 1, "id": "0925342e1efabb7957efa34203f65d3cbc4d_page_6.pdf_order_a11cb388", "type": "order", "max_diffs": 2, "checked": "verified", "url": "http://www.nasbe.org/wp-content/uploads/Balek_article_StateLaws_Feb2012.pdf", "before": "The Guidelines set a series of mandatory and recommended actions designed to give Illinois schools clear direction in purchasing and using green cleaning products as well as implementing a green cleaning program, as required by the Act.", "after": "The recommended section also addresses powered cleaning equipment and provides \"best practices\" for implementing a green cleaning program."} | |
| {"pdf": "multi_column/0083fb2109e58be50aec2eca07fcbfe1230b_page_8_pg1.pdf", "page": 1, "id": "0083fb2109e58be50aec2eca07fcbfe1230b_page_8.pdf_order_9a6d73a2", "type": "order", "max_diffs": 0, "checked": "verified", "url": "http://www.faculty.virginia.edu/skrutskie/images/i1116.pdf", "before": "each separate limitation overall foreign loss account.", "after": "Estates and trusts: Enter the amount from line 2 of the Schedule D (Form 1041)"} | |
| {"pdf": "multi_column/05aa71fa77e07bccb443ef4fd28dde3ecfd6_page_4_pg1.pdf", "page": 1, "id": "05aa71fa77e07bccb443ef4fd28dde3ecfd6_page_4.pdf_order_da26635b", "type": "order", "max_diffs": 2, "checked": "verified", "url": "http://jvi.asm.org/content/82/12/5986.full.pdf", "before": "in approximately equal proportions. A band migrating ata lower molecular weight", "after": "Although the identity of this band has not been thoroughly investigated, it may represent the F0 precursor of the Fc\u0394_103-117 mutant, which lacks an N-glycosylation site that has previously been shown to be used in the Z strain of SeV F protein (N104) (35)."} | |
| {"pdf": "multi_column/05aa71fa77e07bccb443ef4fd28dde3ecfd6_page_4_pg1.pdf", "page": 1, "id": "05aa71fa77e07bccb443ef4fd28dde3ecfd6_page_4.pdf_order_d1fe8a5e", "type": "order", "max_diffs": 2, "checked": "verified", "url": "http://jvi.asm.org/content/82/12/5986.full.pdf", "before": "A band migrating at a lower molecular weight than F0 was observed for the mutant Fc\u0394_103-117.", "after": "In contrast, only a slight increase in F0 processing was detected when trypsin was added to cells expressing the Fc mutant."} | |
| {"pdf": "multi_column/03b953c18a4f7d2bbe390940dec839395cdd_page_20_pg1.pdf", "page": 1, "id": "03b953c18a4f7d2bbe390940dec839395cdd_page_20.pdf_order_26354336", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://permanent.access.gpo.gov/lps1644/2003/MarApri2003.pdf", "before": "A couple of teaspoons of sugar on your morning oatmeal or cereal, and beans or greens cooked in a small amount of bacon or ham wonot wreck your routine.", "after": "The Best of the Best Foods"} | |
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| {"pdf": "multi_column/019a8841dddeb304774ba62a9f5d8dccb43d_page_2_pg1.pdf", "page": 1, "id": "019a8841dddeb304774ba62a9f5d8dccb43d_page_2.pdf_order_6a2477bc", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://www.em-consulte.com/showarticlefile/292621/main.pdf", "before": "La thrombose int\u00e9ressait la partie proximale de l'art\u00e8re axillaire du c\u00f4t\u00e9 dominant et le mode de d\u00e9couverte \u00e9tait chronique dans les trois cas.", "after": "CA170 Ulc\u00e8res chroniques des membres inf\u00e9rieurs sans maladie art\u00e9rielle, veineuse ou lymphatique : penser au \u00ab Deck chair leg syndrome \u00bb"} | |
| {"pdf": "multi_column/081875a1035e34dee439b9a2a3a55e319405_page_32_pg1.pdf", "page": 1, "id": "081875a1035e34dee439b9a2a3a55e319405_page_32.pdf_order_6ada7ec6", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://www.lanl.gov/science/weapons_journal/wj_pubs/11nwj2-05.pdf", "before": "However, radiographs showed no evidence of increased instability at the lower drive achieved in LD-102 in agreement with previous Atlas experiments at LANL.", "after": "Throughout the LD series, shot operations became smoother and more efficient, indicating that the Atlas system was successfully relocated and that the new BN operating team was rapidly gaining experience with the pulsed-power operating environment."} | |
| {"pdf": "multi_column/0b045ab838c05c4ff1ac844caf826f8f368d_page_26_pg1.pdf", "page": 1, "id": "0b045ab838c05c4ff1ac844caf826f8f368d_page_26.pdf_order_aa3b8c7b", "type": "order", "max_diffs": 1, "checked": "verified", "url": "http://www.dod.mil.za/sasoldier/2015/SoldVol22%20no1%20net.pdf", "before": "The Chief Human Resources, Lt Gen Norman Yengeni, recently", "after": "also extended his salutationsto the partners and families of theawarded recipients."} | |
| {"pdf": "multi_column/019a8841dddeb304774ba62a9f5d8dccb43d_page_2_pg1.pdf", "page": 1, "id": "019a8841dddeb304774ba62a9f5d8dccb43d_page_2.pdf_order_2410e748", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://www.em-consulte.com/showarticlefile/292621/main.pdf", "before": "La prise en charge pr\u00e9ventive des ascendants n'est pas codifi\u00e9e.", "after": "Tous droits r\u00e9serv\u00e9s."} | |
| {"pdf": "multi_column/02943986dff2d4a84b7c2dd81abfc51fceea_page_21_pg1.pdf", "page": 1, "id": "02943986dff2d4a84b7c2dd81abfc51fceea_page_21.pdf_order_2147dcef", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://www.fiapinternacional.org/wp-content/uploads/2024/01/Marcha_de_los_Sistemas_de_Pensiones_No_6_nov2023_ene2024.pdf", "before": "Seg\u00fan la Casa Nacional de Pensiones P\u00fablicas, que administra el programa de seguro social, en noviembre hab\u00eda 4,6 millones de pensionistas que recib\u00edan una pensi\u00f3n mensual promedio de 2.009 lei (USD 439).", "after": "Actualmente, las mujeres que hayan cumplido el per\u00edodo m\u00ednimo de cotizaci\u00f3n de 15 a\u00f1os pueden recibir una reducci\u00f3n de 6 a\u00f1os por criar a tres hijos hasta los 16 a\u00f1os m\u00e1s una reducci\u00f3n de 1 a\u00f1o por cada hijo adicional criado."} | |
| {"pdf": "multi_column/027c390510b2fd3364f5a382f2bc304af018_page_4_pg1.pdf", "page": 1, "id": "027c390510b2fd3364f5a382f2bc304af018_page_4.pdf_order_97e749bf", "type": "order", "max_diffs": 1, "checked": "verified", "url": "http://file.scirp.org/pdf/IJCM_2013122715384476.pdf", "before": "Although the odds ratio was reduced after adjusting for the confounders; age, sex, smoking, alcoholism, BMI yet the level of significance was constant.", "after": "when possible confounderswere controlled, the odds ratio was found"} | |
| {"pdf": "multi_column/09f801e3a2ec90ef456d34ad571a46f36fce_page_18_pg1.pdf", "page": 1, "id": "09f801e3a2ec90ef456d34ad571a46f36fce_page_18.pdf_order_c0034449", "type": "order", "max_diffs": 0, "checked": "verified", "url": "http://www.jura.fr/wp-content/uploads/2016/01/Juramag_N%C2%B01.pdf", "before": "Eh oui, l'\u00c9tat est tellement solidaire qu'il laisse la contrainte et son lourd budget \u00e0 l'\u00e9chelle d\u00e9partementale tout en baissant ses dotations !", "after": "Oui, faire confiance aussi aux Jurassiens, h\u00e9ritiers d'une riche et intense histoire - des Jurassiens qui souhaitent continuer \u00e0 l'\u00e9crire."} | |
| {"pdf": "multi_column/027c390510b2fd3364f5a382f2bc304af018_page_2_pg1.pdf", "page": 1, "id": "027c390510b2fd3364f5a382f2bc304af018_page_2.pdf_order_29bf4787", "type": "order", "max_diffs": 0, "checked": "verified", "url": "http://file.scirp.org/pdf/IJCM_2013122715384476.pdf", "before": "Diabetes in other Asian countries such as Saudi Arabia(53%) [15,16], Jordan (72.4%) [17],", "after": "The present study aims to assess the prevalence of HTN among T2D subjects and its contribution in the occurrence of T2D in Mysore population of Karnataka in South India."} | |
| {"pdf": "multi_column/028649690bbc67fe3ba040b4b2bf6c37f487_page_29_pg1.pdf", "page": 1, "id": "028649690bbc67fe3ba040b4b2bf6c37f487_page_29.pdf_order_b4ffa607", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://www.keystonehumanservices.org/pdffiles/mrwaitlist1.pdf", "before": "Definitions", "after": "Infrastructure"} | |
| {"pdf": "multi_column/027c390510b2fd3364f5a382f2bc304af018_page_2_pg1.pdf", "page": 1, "id": "027c390510b2fd3364f5a382f2bc304af018_page_2.pdf_order_c48119cc", "type": "order", "max_diffs": 1, "checked": "verified", "url": "http://file.scirp.org/pdf/IJCM_2013122715384476.pdf", "before": "Currently, there are limited epidemiological studies edifying the relationship between T2D and HTN in Indian context.", "after": "BMI was categorized as normal (<25 kg/m\u00b2), overweight (>25 and < 30 kg/m\u00b2), and obese (>30 kg/m\u00b2) [35]. Blood pressure (Systolic and Diastolic) of each subject was measured using a standardized sphygmomanometer (Elko, India), in supine position."} | |
| {"pdf": "multi_column/031262e6346a8b7db19239800839b132c1ce_page_8_pg1.pdf", "page": 1, "id": "031262e6346a8b7db19239800839b132c1ce_page_8.pdf_order_49e86816", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://bandasanlawrenz.com/wp-content/uploads/2010/06/Harga-Nr-87-1.pdf", "before": "Richard Wagner, il-\u0121enju mu\u017cikali \u0120ermani\u017c li ta kontribut kbir g\u0127all-mu\u017cika operistika kif ukoll g\u0127al-litteratura.", "after": "Sena wara, Wagner kien \u0127are\u0121 bil-kompo\u017cizzjoni ta' Sinfonija in Do maggiore, liema sinfonija smajt u li verament g\u0127o\u0121bitni u nirrakkomanda lill-qarrejja biex jisimg\u0127u."} | |
| {"pdf": "multi_column/0da8fcaacd0a502c317f9d222a55ffbb81e1_page_7_pg1.pdf", "page": 1, "id": "0da8fcaacd0a502c317f9d222a55ffbb81e1_page_7.pdf_order_1205a291", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://watermark.silverchair.com/wst078030571.pdf?token=AQECAHi208BE49Ooan9kkhW_Ercy7Dm3ZL_9Cf3qfKAc485ysgAAAh8wggIbBgkqhkiG9w0BBwagggIMMIICCAIBADCCAgEGCSqGSIb3DQEHATAeBglghkgBZQMEAS4wEQQMTro8KRx9SPp6IForAgEQgIIB0v-SA9nQTYNwTYzPOjy_4ogJDrBqwS9k6TW6Qs-gtOekF4ifSr9I6ZbR1rI9Qhg6K91VaxaCuKdzcicTrt9o6Ya4y_PwhJjA6uu3f8036cLR20SxG48Zg4dz8cD1lDogs9M5l0yb_MxoNMaOKGmgPMnCgDnm51_wblITWYqMymtpCQdcuVjtNOAJ3Ssmw96VF59UPJIfEfdSOxjdSm_AUVlNH7pxZGwNt6k6kYefVWqxbYKFRILRAmwzyLPmTta5yKtGY4l97N4uFfum62T6i1CybaCwXCvFg-z2MJ7hmprQOKwYifuZlSoi1coGoM2DehBiUcLGnEksR661tm0i1DGIIPwvD3BX79zNLw9vagOFj8rIRNtNo_9b_ZnHtynxhN0KClDi4b0S196YoeP0FXVgy9WdSqyvfls9vjlAxIA-u6lPYFisQIoY8eHzKDyRLGz3ccJC31gBn8T8bi2mWFFVE1Z1oBQSCZT9jK_tKkyZq0AalY237qKVmCF3KIRdvOYGGwkoWvTD2gW2tI2naWh72RmUb4ptPR2bQILCjb869uTG2ukI_DDRacXd0O3BxV5w9P6g8lzuyeAvEPrQO0JA_M7cRc4JgyS5LB1MBYoq3_g", "before": "Riera-Torres, M., Guti\u00e9rrez-Bouz\u00e1n, C. & Crespi, M. 2010 Combination of coagulation-flocculation and nanofiltration techniques for dye removal and water reuse in textile industries.", "after": "Desalination 252 (1-3), 53-59."} | |
| {"pdf": "multi_column/0925342e1efabb7957efa34203f65d3cbc4d_page_9_pg1.pdf", "page": 1, "id": "0925342e1efabb7957efa34203f65d3cbc4d_page_9.pdf_order_763e1b6a", "type": "order", "max_diffs": 2, "checked": "verified", "url": "http://www.nasbe.org/wp-content/uploads/Balek_article_StateLaws_Feb2012.pdf", "before": "time is spent on a skill and not content.", "after": "As such, Balek is actively engaged in the process of developing and promoting public policy, programs, and initiatives that help companies succeed in the green cleaning marketplace."} | |
| {"pdf": "multi_column/031262e6346a8b7db19239800839b132c1ce_page_8_pg1.pdf", "page": 1, "id": "031262e6346a8b7db19239800839b132c1ce_page_8.pdf_order_cdf81391", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://bandasanlawrenz.com/wp-content/uploads/2010/06/Harga-Nr-87-1.pdf", "before": "F'dan l-artiklu li jmiss, iddecidejt li nibiddel ix-xenarju, l-ambjent, u n-nazzjonalit\u00e0' tal-kompo\u017citur li jmiss.", "after": "Wara l-g\u0127ajnuna ta' Giacomo Meyerbeer, kompo\u017citur ie\u0127or famu\u017c li d-darba j\u0121ib ix-xorti f'din ir-rokna, Wagner esebixxa l-opra Rienzi b'su\u010b\u010bess kbir."} | |
| {"pdf": "multi_column/0925342e1efabb7957efa34203f65d3cbc4d_page_9_pg1.pdf", "page": 1, "id": "0925342e1efabb7957efa34203f65d3cbc4d_page_9.pdf_order_d990461d", "type": "order", "max_diffs": 2, "checked": "verified", "url": "http://www.nasbe.org/wp-content/uploads/Balek_article_StateLaws_Feb2012.pdf", "before": "You donot get depth without having a problem to solve.", "after": "These state guidelines serve as a valuable resource by providing school districts with structured programs that have been proven in the field."} | |
| {"pdf": "multi_column/0845863d27c84b14011e17a388821525e783_page_4_pg1.pdf", "page": 1, "id": "0845863d27c84b14011e17a388821525e783_page_4.pdf_order_68199b52", "type": "order", "max_diffs": 2, "checked": "verified", "url": "http://www.repositorio.ufop.br/bitstream/123456789/1962/1/ARTIGO_TimingMechanismsGeneration.pdf", "before": "The Equatorial segment corresponds to a transform margin, whereas the Eastern segment evolved as a classical divergent, \"passive\" margin (Matos, 1999).", "after": "O'Connor and Duncan (1990), Wilson (1992), Lima Neto (1998b) and Oliveira (1998), for instance, argued that this igneous activity was mantle plume induced."} | |
| {"pdf": "multi_column/06ba2a90e81d76b586e6b884bf67133012a9_page_16_pg1.pdf", "page": 1, "id": "06ba2a90e81d76b586e6b884bf67133012a9_page_16.pdf_order_60b82d8b", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://oup.silverchair-cdn.com/oup/backfile/Content_public/Journal/humupd/21/1/10.1093_humupd_dmu041/3/dmu041.pdf?Expires=1492719436&Signature=OM3cTfS9IZhxMWVGVQPBSsmOuEu7xRovl0H0kVbJ-vinTY6aTyyiFWbkJzy28c5qzmfIUEogQmJoSy8SEufb3EzWBSsvCGZqWD59jk6OwrAVayeSU-hbb2o5dBoi7STIdo9j96YjCqFGpNYgOqv9QmBBczpTjleYChneFkVl4DBp9WaChUCwLNcZUoET3DwC-jXp59jG4e-cpIYBsRva7Y-JNDKRtFHWNaAzrsH6EkpW515zy~xNu5Pec~c5ZSKvzvMRc0PPhICaewQQRmCr4iFQ4LL~zLwoaNM5UKfa~IVocNQP1rQGV1u-d7g4dCJa-ps2Su2nsuXc4aWYWIDXDw__&Key-Pair-Id=APKAIUCZBIA4LVPAVW3Q", "before": "Infect Dis Obstet Gynecol 2013; 2013 :752852.", "after": "Sarvas H, Kurikka S, Sepp\u00e4l\u00e4 IJ, M\u00e4kel\u00e4 PH, M\u00e4kel\u00e4 O. Maternal antibodies partly inhibit an active antibody response to routine tetanus toxoid immunization in infants."} | |
| {"pdf": "multi_column/031262e6346a8b7db19239800839b132c1ce_page_8_pg1.pdf", "page": 1, "id": "031262e6346a8b7db19239800839b132c1ce_page_8.pdf_order_f46dfd4c", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://bandasanlawrenz.com/wp-content/uploads/2010/06/Harga-Nr-87-1.pdf", "before": "Fl-awtobijografija Mein Leben, Wagner jiftakar li darba \u0127a sehem f'recta b\u0127ala an\u0121lu.", "after": "F'dan i\u017c-\u017cmien, Wagner kien attiv"} | |
| {"pdf": "multi_column/0925342e1efabb7957efa34203f65d3cbc4d_page_9_pg1.pdf", "page": 1, "id": "0925342e1efabb7957efa34203f65d3cbc4d_page_9.pdf_order_998ba47d", "type": "order", "max_diffs": 1, "checked": "verified", "url": "http://www.nasbe.org/wp-content/uploads/Balek_article_StateLaws_Feb2012.pdf", "before": "Guidelines issued by states such as Illinois, Missouri, and New York in support of their respective green cleaning for schools laws serve as a wonderful \"roadmap\" for schools in transitioning to a green cleaning platform.", "after": "students in the management of the recycling program has encouraged increased participation by all, ensuring success of the district's recycling efforts."} | |
| {"pdf": "multi_column/019a8841dddeb304774ba62a9f5d8dccb43d_page_1_pg1.pdf", "page": 1, "id": "019a8841dddeb304774ba62a9f5d8dccb43d_page_1.pdf_order_87cd96c5", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://www.em-consulte.com/showarticlefile/292621/main.pdf", "before": "Vingt deux patients avaient \u00e9t\u00e9 vaccin\u00e9s contre le VHB et pr\u00e9sentaient des taux r\u00e9siduels comparables \u00e0 ceux observ\u00e9s chez 372 patients VIH n\u00e9gatifs ayant consult\u00e9 dans un CDAG (groupe contr\u00f4le).", "after": "La pr\u00e9sence d'une dynamine 2 anormale pourrait \u00eatre n\u00e9cessaire \u00e0 l'endocytose du r\u00e9cepteur du G-CSF (granulocyte colony-stimulating factor) qui joue un r\u00f4le primordial dans la prolif\u00e9ration, la maturation et la survie des polynucl\u00e9aires neutrophiles."} | |
| {"pdf": "multi_column/0925342e1efabb7957efa34203f65d3cbc4d_page_9_pg1.pdf", "page": 1, "id": "0925342e1efabb7957efa34203f65d3cbc4d_page_9.pdf_order_110a8dcf", "type": "order", "max_diffs": 1, "checked": "verified", "url": "http://www.nasbe.org/wp-content/uploads/Balek_article_StateLaws_Feb2012.pdf", "before": "The director of Facilities and Operations meets regularly with PTA representatives at district safety committee meetings.", "after": "The Facilities Department does its share in supporting education by supplying a variety of posters designed to remind students of the importance of proper hand washing to maintain personal health and prevent the spread of diseases."} | |
| {"pdf": "multi_column/019a8841dddeb304774ba62a9f5d8dccb43d_page_1_pg1.pdf", "page": 1, "id": "019a8841dddeb304774ba62a9f5d8dccb43d_page_1.pdf_order_addb00e9", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://www.em-consulte.com/showarticlefile/292621/main.pdf", "before": "Nous rapportons un cas original de neutrop\u00e9nie chronique associ\u00e9e \u00e0 une maladie de Charcot-Marie-Tooth chez un patient porteur d'une mutation du g\u00e8ne codant pour la dynamine 2.", "after": "- Document t\u00e9l\u00e9charg\u00e9 le 19/05/2019 Il est interdit et ill\u00e9gal de diffuser ce document."} | |
| {"pdf": "multi_column/0845863d27c84b14011e17a388821525e783_page_4_pg1.pdf", "page": 1, "id": "0845863d27c84b14011e17a388821525e783_page_4.pdf_order_69836411", "type": "order", "max_diffs": 1, "checked": "verified", "url": "http://www.repositorio.ufop.br/bitstream/123456789/1962/1/ARTIGO_TimingMechanismsGeneration.pdf", "before": "3. Continental rifting and breakup", "after": "A short magmatic event (the \"Cu\u00f3 Volcanism\") in the onshore Potiguar Basin around 93 Ma (Oliveira, 1998; Souza et al., 2004) has been interpreted to be the consequence of this tectonic event."} | |
| {"pdf": "multi_column/07c14b471fd33c56b988cc7a58dae211d16f_page_13_pg1.pdf", "page": 1, "id": "07c14b471fd33c56b988cc7a58dae211d16f_page_13.pdf_order_87cde7ba", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://patentimages.storage.googleapis.com/72/a5/b2/9d039ec5b29b34/US6453463.pdf", "before": "(step 1202). This reference may be a read or a write operation.", "after": "In the case of a field number, the system performs a modulo operation by masking off all but the lower order three bits of field number 1302 to produce a three bit index (0,1,1) that specifies a marking bit."} | |
| {"pdf": "multi_column/0853d8a05fd1e839887d4bc3004a6770cb7b_page_2_pg1.pdf", "page": 1, "id": "0853d8a05fd1e839887d4bc3004a6770cb7b_page_2.pdf_order_07d30489", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://rua.ua.es/dspace/bitstream/10045/40386/1/RECSI-2014_03.pdf", "before": "be k = 2 and the tap positions are the first and the second (from the left).", "after": "There is no noise and the right initial state of"} | |
| {"pdf": "multi_column/01ed6dcc6a3d0237daa88b293d0c0667df1a_page_66_pg1.pdf", "page": 1, "id": "01ed6dcc6a3d0237daa88b293d0c0667df1a_page_66.pdf_order_7b7e08a8", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://www.thermofisher.com/content/dam/LifeTech/global/technical-reference-library/Molecular%20Probes%20Handbook/chapter-pdfs/Ch-15-Cell-Viability-Proliferation-Function.pdf", "before": "FL dye-based assay has several advantages over indirect detection of biotinylated or haptenylated nucleotides, including fewer protocol steps and increased cell yields.", "after": "Specifically, DNA damage sensing agents induce phosphorylation of histone variant"} | |
| {"pdf": "multi_column/027880a87e3c2ad4cf8c05f477597c0c6da7_page_6_pg1.pdf", "page": 1, "id": "027880a87e3c2ad4cf8c05f477597c0c6da7_page_6.pdf_order_292e204e", "type": "order", "max_diffs": 1, "checked": "verified", "url": "http://repository.ubn.ru.nl/bitstream/handle/2066/34957/34957.pdf?sequence=1", "before": "had reached the minimum at t = 10 h, the optical density increased linearly over time.", "after": "gen mass transfer characteristics, i.e., gassing rate/culture volume ratio and mixing intensity (number of impellers), steady p H\u2082 values were obtained during the linear growth phase that ranged between 1 and 59 kPa."} | |
| {"pdf": "multi_column/0d7f2cbc54e1b8e58b42a867c3f7620bcd29_page_6_pg1.pdf", "page": 1, "id": "0d7f2cbc54e1b8e58b42a867c3f7620bcd29_page_6.pdf_order_e92c6c90", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://repository.up.ac.za/bitstream/handle/2263/26803/07chapter7.pdf?isAllowed=y&sequence=8", "before": ".... TECHNICAL INVESTIGATION", "after": "Carpet Manufactured by Belgotex Carpet."} | |
| {"pdf": "multi_column/09f801e3a2ec90ef456d34ad571a46f36fce_page_3_pg1.pdf", "page": 1, "id": "09f801e3a2ec90ef456d34ad571a46f36fce_page_3.pdf_order_20f078ea", "type": "order", "max_diffs": 2, "checked": "verified", "url": "http://www.jura.fr/wp-content/uploads/2016/01/Juramag_N%C2%B01.pdf", "before": "Communication du Conseil d\u00e9partemental du Jura", "after": "Cependant, nous sommes rassur\u00e9s par l'annonce de certaines bonnes nouvelles : le Jura, terre de champions, recevra en 2016 le Tour de France pour une \u00e9tape franco-suisse et le salon Made In Jura, cher au c\u0153ur des Jurassiens, rena\u00eetra sous une forme nouvelle."} | |
| {"pdf": "multi_column/00f6c2eea6b51fb1bf637b5f8a850588d7e2_page_8_pg1.pdf", "page": 1, "id": "00f6c2eea6b51fb1bf637b5f8a850588d7e2_page_8.pdf_order_785eba4c", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://thesai.org/Downloads/Volume14No1/Paper_44-A_Novel_Smart_Deepfake_Video_Detection_System.pdf", "before": "where u t is a result of feeding a hidden vector h t into a single-layer Multi-Layer Perceptron (MLP) with the tanh", "after": "Its performance is assessed using the following evaluation metrics [56]:"} | |
| {"pdf": "multi_column/00f6c2eea6b51fb1bf637b5f8a850588d7e2_page_8_pg1.pdf", "page": 1, "id": "00f6c2eea6b51fb1bf637b5f8a850588d7e2_page_8.pdf_order_35f0817b", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://thesai.org/Downloads/Volume14No1/Paper_44-A_Novel_Smart_Deepfake_Video_Detection_System.pdf", "before": "They suffer from flickering and discontinuity of the face frames and lack of normal emotions, breathing, pauses, and the pace at which the target subject speaks among audio segments.", "after": "The symbol S(.) represents the sigmoid function, tanh(.) represents the Hyperbolic Tangent,"} | |
| {"pdf": "multi_column/00f6c2eea6b51fb1bf637b5f8a850588d7e2_page_8_pg1.pdf", "page": 1, "id": "00f6c2eea6b51fb1bf637b5f8a850588d7e2_page_8.pdf_order_53ab2fc9", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://thesai.org/Downloads/Volume14No1/Paper_44-A_Novel_Smart_Deepfake_Video_Detection_System.pdf", "before": "As can be seen in Fig. 4, a single GRU is applied to the above-mentioned feature representations on the three levels.", "after": "The symbol alpha t represents the normalized attention weights that are produced by applying the softmax layer to"} | |
| {"pdf": "multi_column/02a3e23da54b82c414d272051b0b5d8f44d8_page_12_pg1.pdf", "page": 1, "id": "02a3e23da54b82c414d272051b0b5d8f44d8_page_12.pdf_order_55823ac0", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://media.neliti.com/media/publications/276812-persepsi-pejabat-birokrasi-pemerintah-da-1c557b42.pdf", "before": "Apa menjamin dengan SOT yang baru menyebabkan pemda lebih efisien dan responsive? kan tidak semudah itu, jadi perlu kematangan dan pengetahuan yang cukup sebelum hal ini dilakukan\" (Hasil wawancara penulis, 6 September 2013).", "after": "Hal ini terungkap dari beberapa hasil wawancara dengan M. Mahyuddin M, ST.,M.Si Kasubag Prasarana Fisik Pemerintahan di Sekretariat Daerah Kabupaten Buton berikut ini:"} | |
| {"pdf": "multi_column/081875a1035e34dee439b9a2a3a55e319405_page_22_pg1.pdf", "page": 1, "id": "081875a1035e34dee439b9a2a3a55e319405_page_22.pdf_order_121adc9d", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://www.lanl.gov/science/weapons_journal/wj_pubs/11nwj2-05.pdf", "before": "Hydrotest 3625 was conducted April 1, 2005, and hydrotest 3612 was conducted 3 months later on July 1, 2005.", "after": "have a small field of view,"} | |
| {"pdf": "multi_column/081875a1035e34dee439b9a2a3a55e319405_page_22_pg1.pdf", "page": 1, "id": "081875a1035e34dee439b9a2a3a55e319405_page_22.pdf_order_c06fa512", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://www.lanl.gov/science/weapons_journal/wj_pubs/11nwj2-05.pdf", "before": "Scientists use DARHT's flash x-ray machine and cameras to study the implosion characteristics-recording interior images during implosion-of nonnuclear mockups of nuclear weapon components.", "after": "tests at DARHT include 3596 (in 2004 for the W76 Mod 0 LEP) and 3612 (in 2005 for the W76 Mod 1 LEP)."} | |
| {"pdf": "multi_column/07c14b471fd33c56b988cc7a58dae211d16f_page_13_pg1.pdf", "page": 1, "id": "07c14b471fd33c56b988cc7a58dae211d16f_page_13.pdf_order_d5cfe6b6", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://patentimages.storage.googleapis.com/72/a5/b2/9d039ec5b29b34/US6453463.pdf", "before": "heap 406 (step 902). The system also updates status word 504 to indicate that speculative thread203 has written to the object if Such updating is necessary(step 903). ", "after": "Extension to Additional Speculative Threads"} | |
| {"pdf": "multi_column/081875a1035e34dee439b9a2a3a55e319405_page_4_pg1.pdf", "page": 1, "id": "081875a1035e34dee439b9a2a3a55e319405_page_4.pdf_order_9a4161ca", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://www.lanl.gov/science/weapons_journal/wj_pubs/11nwj2-05.pdf", "before": "The bottom (ground side) is rough and light tan with sandy inclusions.", "after": "Another crucial number is the maximum radial extent R of the trinitite layer (thickness \u0394L) from ground zero."} | |
| {"pdf": "multi_column/06df5e530c2ccb0310a3205586a37d4b9b7d_page_4_pg1.pdf", "page": 1, "id": "06df5e530c2ccb0310a3205586a37d4b9b7d_page_4.pdf_order_59dca065", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://www.accioncontraelhambre.org/sites/default/files/documents/catalogo_de_proyectos_accion_social_en_espana_2014_-_2022.pdf", "before": "Estas cifras nos indican que el problema de los hogares espa\u00f1oles para acceder a alimentos adecuados es estructural y no est\u00e1 directamente ligado a crisis coyunturales.", "after": "En respuesta a ello, desde nuestra organizaci\u00f3n hemos puesto nuestro conocimiento y experiencia en el desarrollo de un sistema de alerta temprana que nos permita detectar el riesgo de inseguridad alimentaria y as\u00ed anticiparnos para dise\u00f1ar los programas e intervenciones adecuados."} | |
| {"pdf": "multi_column/0b2e551bbc33b030f810311118e2088d7ae3_page_12_pg1.pdf", "page": 1, "id": "0b2e551bbc33b030f810311118e2088d7ae3_page_12.pdf_order_97c0135a", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://patentimages.storage.googleapis.com/6e/2b/2b/5aceafd7c96cd7/US8980155.pdf", "before": "After the above described scuff resistance testing, each golf ball cover was visually observed and rated according to the following scale: a golf ball cover was rated \"1\" when little or no damage was visible, only groove markings or dents; a golf ball cover was rated \"2\" when small cuts and/or ripples in the cover were apparent; a golf ball cover was rated \"3\" when moderate amounts of cover material were lifted from the ball's surface, but the cover material was still attached to the golf ball; and finally a golf ball cover was rated \"4\" when cover material was removed or barely attached to the golf ball.", "after": "Accordingly, the invention is not to be restricted except in light of the attached claims and their equivalents."} | |
| {"pdf": "multi_column/0845863d27c84b14011e17a388821525e783_page_16_pg1.pdf", "page": 1, "id": "0845863d27c84b14011e17a388821525e783_page_16.pdf_order_4bda9b61", "type": "order", "max_diffs": 1, "checked": "verified", "url": "http://www.repositorio.ufop.br/bitstream/123456789/1962/1/ARTIGO_TimingMechanismsGeneration.pdf", "before": "Evolu\u00e7\u00e3o tect\u00f4nica da \u00c1rea de Ubarana e implica\u00e7\u00f5es na g\u00eanese da submersda da Bacia Potiguar.", "after": "Tectono-stratigraphic evolution of offshore Potiguar Basin, Brazil."} | |
| {"pdf": "multi_column/05a0e5bc2881eb1d246b2e41906bf8b24de2_page_3_pg1.pdf", "page": 1, "id": "05a0e5bc2881eb1d246b2e41906bf8b24de2_page_3.pdf_order_47e147b7", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://research-repository.griffith.edu.au/bitstream/handle/10072/14295/40084_1.pdf;jsessionid=7A19C73F3257A3B80B54B8031D6A8828?sequence=1", "before": "honeycomb substructure formed from head-to-tail hydrogen-bonded hydrogen tartrate anions and water molecules.", "after": "More recently, its utility as an agent for the introduction of chirality in achiral organic compounds for the generation of crystalline materials with potentially useful non-linear optical properties has been explored (Aaker\u00f6y et al., 1992; Fuller et al., 1995; Marchewska et al., 2003; Debrus et al., 2005; Manivannan et al., 2006)."} | |
| {"pdf": "multi_column/0621a0090414e4681e90a4e1ea543acca910_page_34_pg1.pdf", "page": 1, "id": "0621a0090414e4681e90a4e1ea543acca910_page_34.pdf_order_a70a611c", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://halshs.archives-ouvertes.fr/halshs-01519988/file/515_P_41618_58a42e62a8015_4.pdf", "before": "ROUDIL J.-L. (1972) - L'\u00e2ge du Bronze du Languedoc oriental, Paris, Klincksieck (M\u00e9moires de la Soci\u00e9t\u00e9 pr\u00e9historique fran\u00e7aise, 10), 302 p.", "after": "ROUSSOT-LARROQUE J. (1998) - Le Sud-Ouest de la France, in J. Kozlowski (dir.), Atlas du N\u00e9olithique europ\u00e9en, 2, L'Europe occidentale, Li\u00e8ge, l'universit\u00e9 de Li\u00e8ge (ERAUL, 46, 2b), p. 689-761."} | |
| {"pdf": "multi_column/03b953c18a4f7d2bbe390940dec839395cdd_page_19_pg1.pdf", "page": 1, "id": "03b953c18a4f7d2bbe390940dec839395cdd_page_19.pdf_order_dc10433f", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://permanent.access.gpo.gov/lps1644/2003/MarApri2003.pdf", "before": "\"It's hereditary- everyone in my family is fat.\"", "after": "\"My thyroid is not working right.\""} | |
| {"pdf": "multi_column/069577d83be73a2373200ada5599eb824c95_page_2_pg1.pdf", "page": 1, "id": "069577d83be73a2373200ada5599eb824c95_page_2.pdf_order_a9531409", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://digital.libraries.ou.edu/sooner/articles/p301-302_1930v2n9_OCR.pdf", "before": "Burr with heady eyes sparkled but his face was immobile.", "after": "Pale but resolute, Hamilton took his post, his face a cameo against the green background."} | |
| {"pdf": "multi_column/081875a1035e34dee439b9a2a3a55e319405_page_38_pg1.pdf", "page": 1, "id": "081875a1035e34dee439b9a2a3a55e319405_page_38.pdf_order_df98547d", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://www.lanl.gov/science/weapons_journal/wj_pubs/11nwj2-05.pdf", "before": "To predict the elastic constants, we made similar quantum mechanical calculations as the", "after": "We used LANL's Trident laser to induce shock waves in beryllium crystals 40- to 100-\u03bcm thick- similar to the 150-\u03bcm thickness of the ignition capsule-and studied the shape of elastic waves that run ahead of the shock."} | |
| {"pdf": "multi_column/0b128decb905a38700baf486672b8634c308_page_4_pg1.pdf", "page": 1, "id": "0b128decb905a38700baf486672b8634c308_page_4.pdf_order_a58049d0", "type": "order", "max_diffs": 2, "checked": "verified", "url": "http://circres.ahajournals.org/content/circresaha/early/2002/08/15/01.RES.0000033987.22436.50.full.pdf?download=true", "before": "\u2020P=0.005 compared with vitamin D only.", "after": "\u00a7P=0.0003 compared with vitamin D only. "} | |
| {"pdf": "multi_column/0145bc47f7ca5f8c5ff1a10481207670bcd3_page_11_pg1.pdf", "page": 1, "id": "0145bc47f7ca5f8c5ff1a10481207670bcd3_page_11.pdf_order_2ba09682", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://bulletin.sfsu.edu/colleges/health-social-sciences/kinesiology/kinesiology.pdf", "before": "KIN 897; and permission of the graduate major adviser and instructor; and approval of Advancement to Candidacy (ATC) and Culminating Experience (CE) forms by Graduate Studies.", "after": "KIN 898 Master's Thesis (Units: 3)"} | |
| {"pdf": "multi_column/0dd31f954c25db440baccc3245daf51b4b55_page_2_pg1.pdf", "page": 1, "id": "0dd31f954c25db440baccc3245daf51b4b55_page_2.pdf_order_f3145195", "type": "order", "max_diffs": 0, "checked": "verified", "url": "http://static.unive.it/server/eventi/6054/04-apr%2027-28%20sciamanism_atene%20Programma.pdf", "before": "14.30 - 15.10 Taj Khan Kalas", "after": "Unblocking the Blockage between Earth and Heaven: Shamanismas Cultural Intimacy in China"} | |
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| {"pdf": "multi_column/00d8a44d3066bbc4bd8df149d0dafb96f423_page_3_pg1.pdf", "page": 1, "id": "00d8a44d3066bbc4bd8df149d0dafb96f423_page_3.pdf_order_4db7d553", "type": "order", "max_diffs": 1, "checked": "verified", "url": "http://www.koreascience.or.kr/article/CFKO200721138198972.pdf", "before": "\ucc98\ub9ac\ub41c \ub370\uc774\ud130\ub294 \uc2e4\uc2dc\uac04\uc73c\ub85c PDA\uc5d0 \ub514\uc2a4\ud50c\ub808\uc774\ud558\uace0, \uc0ac\uc6a9\uc790\ub294 PDA\ub97c \ud1b5\ud574\uc11c \uac01 \uc7a5\uce58\uc5d0 \ub300\ud55c \uc81c\uc5b4 \uba85\ub839\uc744 \uc11c\ubc84\uce21\uc73c\ub85c \uc804\uc1a1\ud55c\ub2e4.", "after": "\ub530\ub77c\uc11c \ud074\ub77c\uc774\uc5b8\ud2b8\uce21\uc758 PDA \uc7a5\uce58\uc5d0\uc11c \uc11c\ubc84\uce21\uc758 \ucef4\ud4e8\ud130\uc5d0 \uc811\uc18d\ud558\uc5ec \uc81c\uc5b4 \uba85\ub839\uc744 \uc1a1\uc2e0\ud558\uba74 \uc11c\ubc84\uce21 \ucef4\ud4e8\ud130\ub294 \uc7a5\uce58 \ub370\uc774\ud130 \uc218\uc2e0 \ubaa8\ub4c8\uc744 \ud1b5\ud574\uc11c \uc81c\uc5b4 \uba85\ub839\uc744 \uc218\uc2e0\ud558\uace0 \uc218\uc9d1\ud55c \ub370\uc774\ud130\ub97c \uc6d0\uaca9 PDA \ub514\ubc14\uc774\uc2a4 \uce21\uc73c\ub85c \uc804\uc1a1\ud55c\ub2e4."} | |
| {"pdf": "multi_column/02a3e23da54b82c414d272051b0b5d8f44d8_page_17_pg1.pdf", "page": 1, "id": "02a3e23da54b82c414d272051b0b5d8f44d8_page_17.pdf_order_a75c884c", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://media.neliti.com/media/publications/276812-persepsi-pejabat-birokrasi-pemerintah-da-1c557b42.pdf", "before": "Dilihat dari semua indikator yang digunakan dalam penelitian ini, pemahaman dan pengetahuan pejabat pemda Kabupaten Buton terhadap konsep pemerintahan yang bergaya wirausaha (entrepreneurial government) masih sangat rendah, sebagaimana ditunjukkan dengan rendahnya pemahaman dan pengetahuan tentang prinsip costumer oriented (pemerintah yang berorientasi pada masyarakat).", "after": "Dalam laporan ini ditemukan bahwa yang mengikuti seminar-seminar, lokakarya dan diklat-diklat fungsional hanya untuk pejabat eselon III yang dekat dengan Kabupaten dan untuk pejabat eselon II sedangkan pejabat eselon IV jarang sekali mengikutinya."} | |
| {"pdf": "multi_column/075cc4e94eb8bdd518b96fc27aaef00a64c8_page_11_pg1.pdf", "page": 1, "id": "075cc4e94eb8bdd518b96fc27aaef00a64c8_page_11.pdf_order_73656950", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://www.reviewofoptometry.com/cmsdocuments/2011/9/sept2011_algorithms.pdf", "before": "Another approach is to thoroughly review systems, starting at the top with headaches, moving on to upper respiratory and breathing problems, gastrointestinal issues, and sexual partners/urination.", "after": "is incumbent upon us to coordinate the management of this condition"} | |
| {"pdf": "multi_column/00d8a44d3066bbc4bd8df149d0dafb96f423_page_3_pg1.pdf", "page": 1, "id": "00d8a44d3066bbc4bd8df149d0dafb96f423_page_3.pdf_order_a2873e99", "type": "order", "max_diffs": 1, "checked": "verified", "url": "http://www.koreascience.or.kr/article/CFKO200721138198972.pdf", "before": "2.2 \ud50c\ub77c\uc774\uc5b8\ud2b8\uce21 \ubaa8\ub4c8", "after": "\ud658\uacbd \uc7a5\uce58 \ub370\uc774\ud130 \ubaa8\ub2c8\ud130\ub9c1 \uc218\ud589 \uc808\ucc28"} | |
| {"pdf": "multi_column/02a3e23da54b82c414d272051b0b5d8f44d8_page_17_pg1.pdf", "page": 1, "id": "02a3e23da54b82c414d272051b0b5d8f44d8_page_17.pdf_order_72ec8a59", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://media.neliti.com/media/publications/276812-persepsi-pejabat-birokrasi-pemerintah-da-1c557b42.pdf", "before": "Hal ini dikarenakan pengembangan budaya merupakan suatu yang sangat sulit dan memerlukan waktu yang cukup lama.", "after": "Hubungan antara atasan dan bawahan yang kaku, komunikasi searah yang tidak sehat, sistem insentif yang tidak menumbuhkan inovasi dari kreativitas pejabat menyebabkan rasa malas dari setiap pejabat untuk mengembangkan pengetahuannya."} | |
| {"pdf": "multi_column/02a3e23da54b82c414d272051b0b5d8f44d8_page_17_pg1.pdf", "page": 1, "id": "02a3e23da54b82c414d272051b0b5d8f44d8_page_17.pdf_order_e38acd0b", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://media.neliti.com/media/publications/276812-persepsi-pejabat-birokrasi-pemerintah-da-1c557b42.pdf", "before": "Budaya yang berkembang dalam sebuah lingkungan akan menentukan cara pandang seseorang terhadap sesuatu hal.", "after": "Kendati pandangan pejabat pemerintah daerah Kabupaten Buton tidak merepresentasikan pandangan pejabat birokrasi, temuan dari penelitian ini setidak-tidaknya memberikan gambaran mengenai rendahnya pengetahuan pejabat birokrasi terhadap ide, konsep maupun paradigma baru penyelenggaraan pemerintahan modern."} | |
| {"pdf": "multi_column/0a6b833c50bc059f767492f394fe06302113_page_8_pg1.pdf", "page": 1, "id": "0a6b833c50bc059f767492f394fe06302113_page_8.pdf_order_71b7db6b", "type": "order", "max_diffs": 1, "checked": "verified", "url": "http://www.bashanfoundation.org/carreno/carrenozymogen.pdf", "before": "High efficiency toward native protein substrates including collagens.-Biological Chemistry 371: 851-859.", "after": "Towbin, H., T. Staehelin, and J. Gordon. 1979."} | |
| {"pdf": "multi_column/02e31046996b59b4997b8413f09ae163ade5_page_2_pg1.pdf", "page": 1, "id": "02e31046996b59b4997b8413f09ae163ade5_page_2.pdf_order_7975cadb", "type": "order", "max_diffs": 2, "checked": "verified", "url": "http://rruff.info/doclib/am/vol81/AM81_902.pdf", "before": "cia of quartz-monzodioritic (QMD) bulk composition and mineralogy, including regions of potassium feldspar-bearing granophyre (Jolliff et al. 1991; Jolliff 1991).", "after": "Sample 14161,7069 was derived from a rock that was brecciated by a meteorite impact at ~4 Ga."} | |
| {"pdf": "multi_column/0621a0090414e4681e90a4e1ea543acca910_page_8_pg1.pdf", "page": 1, "id": "0621a0090414e4681e90a4e1ea543acca910_page_8.pdf_order_a0eef7f8", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://halshs.archives-ouvertes.fr/halshs-01519988/file/515_P_41618_58a42e62a8015_4.pdf", "before": "L'ornementation des bracelets de l'\u00e2ge du Bronze europ\u00e9en : analyse descriptive et perspectives.", "after": "(Testart, 2011). Sans pouvoir p\u00e9n\u00e9trer l'\u00e2me des acteurs sociaux protohistoriques, il s'agit d'abord de s'enqu\u00e9rir de ph\u00e9nom\u00e8nes physiologiques d\u00e9crits dans des processus exp\u00e9rimentaux portant sur la perception visuelle (Frutiger, 2000, p. 35-36)."} | |
| {"pdf": "multi_column/02943986dff2d4a84b7c2dd81abfc51fceea_page_3_pg1.pdf", "page": 1, "id": "02943986dff2d4a84b7c2dd81abfc51fceea_page_3.pdf_order_a193dd53", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://www.fiapinternacional.org/wp-content/uploads/2024/01/Marcha_de_los_Sistemas_de_Pensiones_No_6_nov2023_ene2024.pdf", "before": "Propone principios destinados a garantizar la resiliencia financiera de todas las generaciones en medio de diversos sistemas nacionales y objetivos como la seguridad financiera y una vida saludable.", "after": "El documento a\u00f1ade dos perspectivas sobre la informalidad."} | |
| {"pdf": "multi_column/02e31046996b59b4997b8413f09ae163ade5_page_2_pg1.pdf", "page": 1, "id": "02e31046996b59b4997b8413f09ae163ade5_page_2.pdf_order_642dbce7", "type": "order", "max_diffs": 1, "checked": "verified", "url": "http://rruff.info/doclib/am/vol81/AM81_902.pdf", "before": "The different interference colors frequently observed in thin sections of zircon are known to be due to differing levels of \u03b1-decay damage.", "after": "~30% plagioclase"} | |
| {"pdf": "old_scans/30.pdf", "page": 1, "id": "30_339963", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990185/mss382990185-2/", "text": "Indeed strengthened by the profound change in your formal relation in the Outlook.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/1.pdf", "page": 1, "id": "1_680487", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-2/", "text": "as we are deprived of Voting for whoever we Desire at the Primaries.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/35.pdf", "page": 1, "id": "35_170265", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-5/", "text": "If my letter is not in place forgive me and let the wife and young daughter of my friend with allmost broken hearts plead for justice to a husband a father- a grey haired minister of Jesus.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/14.pdf", "page": 1, "id": "14_92627", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-21/", "text": "your health and again come to and wash", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/37.pdf", "page": 1, "id": "37_500785", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-8/", "before": "we have had such beautiful weather this fall.", "after": "The family are well with the exception of our dear Mother whose 4200"} | |
| {"pdf": "old_scans/35.pdf", "page": 1, "id": "35_667924", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-5/", "before": "If it were known that I had written this letter it would at once be determined that it was \"interference with military rule\", and I should have to suffer the penalty.", "after": "If my letter is not in place forgive me and let the wife and young daughter of my friend with allmost broken hearts plead for justice to a husband a father- a grey haired minister of Jesus."} | |
| {"pdf": "old_scans/34.pdf", "page": 1, "id": "34_124975", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-3/", "before": "Your Ky heart would burn within you could you but know half of the truth", "after": "And what makes it almost unsupportable is to receive"} | |
| {"pdf": "old_scans/46.pdf", "page": 1, "id": "46_170263", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-20/", "before": "My deep anxiety in regard to this, almost my last resource, will excuse this trouble.", "after": "Very truly &c A Burwell"} | |
| {"pdf": "old_scans/7.pdf", "page": 1, "id": "7_301704", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-14/", "text": "Dear Sir: -", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/46.pdf", "page": 1, "id": "46_977242", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-20/", "before": "war times, it will be exceeding hard", "after": "I opened my office as you will perceive from enclosed cases."} | |
| {"pdf": "old_scans/22.pdf", "page": 1, "id": "22_648720", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-33/", "text": "TELEGRAM T6 Ny Rw THEO. N. VAIL,", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/20.pdf", "page": 1, "id": "20_485435", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-30/", "text": "that I will furnish you these Buttons at factory price plus 1 cent Royalty each.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/39.pdf", "page": 1, "id": "39_765731", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-10/", "text": "J M Shackleford a special command including that part of Ky lying North of Cumberland River and South of Ohio - West of line from Clarksville Ten to Owensboro on Ohio River.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/33.pdf", "page": 1, "id": "33_527488", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-2/", "before": "the name of the Constitution and country that", "after": "evil to that very caused proposed to benefitted by this"} | |
| {"pdf": "old_scans/23.pdf", "page": 1, "id": "23_675822", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-34/", "text": "The Contemporary Club is a literary club of this City, composed of one hundred and twenty five of the leading gentlemen and ladies", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/7.pdf", "page": 1, "id": "7_481029", "type": "order", "max_diffs": 3, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-14/", "before": "But here is one instant,", "after": "It has been a long time since I want to write to you and to tell you what a great admiration and respect I have for you, that I cannot express on the paper."} | |
| {"pdf": "old_scans/1.pdf", "page": 1, "id": "1_787572", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-2/", "before": "Sickles old Regt & Brigade I served through all of the civil war.", "after": "Then He Left us."} | |
| {"pdf": "old_scans/26.pdf", "page": 1, "id": "26_727870", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-40/", "text": "BROCKHURST, VICE-PRES'T E.G.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/20.pdf", "page": 1, "id": "20_676563", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-30/", "before": "you these Buttons at factory price plus 1 cent Royalty each.", "after": "If you so desire I will have a Bull Moose put on the place that slides up and down that causes the Eye to Wink."} | |
| {"pdf": "old_scans/47.pdf", "page": 1, "id": "47_522340", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-21/", "before": "If received it has probably been advertised.", "after": "William L Kelly"} | |
| {"pdf": "old_scans/13.pdf", "page": 1, "id": "13_491741", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-20/", "text": "Arhkin", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/33.pdf", "page": 1, "id": "33_544277", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-2/", "before": "him or any other if guilty to interfere with", "after": "I feel that the Joseph Holt whom with others loved and"} | |
| {"pdf": "old_scans/23.pdf", "page": 1, "id": "23_189451", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-34/", "before": "My dear Sir:-", "after": "at the Progressive Head- quarters in New York, to ask your good offices in behalf of the Contemporary Club of Bridgeport, of which I have the honor to be President."} | |
| {"pdf": "old_scans/1.pdf", "page": 1, "id": "1_298389", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-2/", "before": "During your trip to S.A.", "after": "to Eastern or Bangor Pa I would Like to See you"} | |
| {"pdf": "old_scans/26.pdf", "page": 1, "id": "26_350035", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-40/", "before": "Col Theodore Roosevelt", "after": "Dear Sir So Many of your admirers on this side of Long Island who have for a long time been deprived of the pleasure of hearing you speak, have expressed a strong desire to do I take"} | |
| {"pdf": "old_scans/47.pdf", "page": 1, "id": "47_30422", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-21/", "before": "If received it has probably been advertised.", "after": "to me here & oblige very respectfully your obt servt"} | |
| {"pdf": "old_scans/39.pdf", "page": 1, "id": "39_724825", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-10/", "text": "on Ohio River. I am confident The Gurrilla & other raids will", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/13.pdf", "page": 1, "id": "13_775179", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-20/", "text": "1205 Washington W", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/30.pdf", "page": 1, "id": "30_533481", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990185/mss382990185-2/", "text": "a letter in response to you and get it into Laurance's hands, for consultation between", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/46.pdf", "page": 1, "id": "46_218573", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-20/", "text": "My rent due 19th Dec has not been paid, and as the amount $1500, is a matter now of vital importance, I must trouble you, if not in consistent with your public duties", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/40.pdf", "page": 1, "id": "40_937767", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-11/", "text": "Y Cleggett, is desirous of obtaining an appointment as Pay Master or as Commissary of Subsistence in the U.S.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/6.pdf", "page": 1, "id": "6_449898", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-13/", "text": "for more than 45 years, or from Greeley to Wilson, but", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/47.pdf", "page": 1, "id": "47_973110", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-21/", "before": "If received it has probably been advertised.", "after": "Please forward it to me here & oblige very respectfully your"} | |
| {"pdf": "old_scans/46.pdf", "page": 1, "id": "46_809550", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-20/", "text": "claims ag'st government, & if so to when same may be paid Mr Palmer", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/29.pdf", "page": 1, "id": "29_967492", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-44/", "before": "My Dear Mr. Roosevelt", "after": "at this time, after having"} | |
| {"pdf": "old_scans/23.pdf", "page": 1, "id": "23_774544", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-34/", "text": "Sanford Stoddard of Bridgeport, and Mr. McGraw, Sec'y. at the Progressive Head- quarters in", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/13.pdf", "page": 1, "id": "13_856335", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-20/", "text": "Very respectfully,", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/22.pdf", "page": 1, "id": "22_689514", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-33/", "before": "Theo Roosevelt", "after": "Will expect you for Lunch at Belmont Wednesday any hour you prefer"} | |
| {"pdf": "old_scans/48.pdf", "page": 1, "id": "48_127301", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-25/", "text": "this dispatch, and will be deeply grateful to you if you will kindly advise me what to do under the circumstances.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/45.pdf", "page": 1, "id": "45_542323", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-18/", "text": "Louis Jan 10. 1862", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/6.pdf", "page": 1, "id": "6_745392", "type": "absent", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-13/", "text": "Personal and confidential.", "case_sensitive": false, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/2.pdf", "page": 1, "id": "2_244053", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-7/", "before": "OYSTER BAY, N.Y.", "after": "A GROUP OF US TELEGRAPH OPERATORS WERE KINDLY"} | |
| {"pdf": "old_scans/24.pdf", "page": 1, "id": "24_494714", "type": "absent", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-35/", "text": "May twentysecond, Nineteen hundred and fourteen.", "case_sensitive": false, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/27.pdf", "page": 1, "id": "27_68655", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-41/", "before": "Respectfully yours", "after": "FRANK J. Dion"} | |
| {"pdf": "old_scans/47.pdf", "page": 1, "id": "47_638038", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-21/", "text": "a few weeks since he addressed a", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/30.pdf", "page": 1, "id": "30_232955", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990185/mss382990185-2/", "before": "Believe I pray you in my sincere affection and esteem for you and my faith in what you have so splendidly stood for in our", "after": "We shall want our correspondence, when it is published, to make clear that our interest in and loyalty to the principles for"} | |
| {"pdf": "old_scans/27.pdf", "page": 1, "id": "27_250174", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-41/", "text": "Clsip L.l.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/12.pdf", "page": 1, "id": "12_287370", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-19/", "before": "connected with the sale of it and have nothing to", "after": "locomotive engineer, who contracted the Lhagres fever while"} | |
| {"pdf": "old_scans/14.pdf", "page": 1, "id": "14_977096", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-21/", "before": "West New Brighton S.", "after": "It has added some year to my life"} | |
| {"pdf": "old_scans/20.pdf", "page": 1, "id": "20_392554", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-30/", "text": "order from you for 10,000 Buttons. Would includible an", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/35.pdf", "page": 1, "id": "35_177753", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-5/", "text": "young daughter of my friend with allmost broken hearts plead", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/45.pdf", "page": 1, "id": "45_679987", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-18/", "text": "speak less unkindly of me in Washington. I have been admonished of", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/5.pdf", "page": 1, "id": "5_218496", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-10/", "before": "himself to even the appearance of intrigue.", "after": "Think of $25,000,000"} | |
| {"pdf": "old_scans/20.pdf", "page": 1, "id": "20_180555", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-30/", "before": "An order from you for 10,000 Buttons.", "after": "give me an order for 10.000 Buttons we can put"} | |
| {"pdf": "old_scans/12.pdf", "page": 1, "id": "12_370663", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-19/", "before": "Am simply a railroad man, a locomotive engineer, who contracted the", "after": "I am not in any way connected with the sale of it and have nothing to gain."} | |
| {"pdf": "old_scans/5.pdf", "page": 1, "id": "5_598508", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-10/", "text": "be expected to attend Catholic ceremonials and lend himself to even the", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/21.pdf", "page": 1, "id": "21_398162", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-31/", "text": "I am also enclosing My Baby's picture the one that I am working for.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/41.pdf", "page": 1, "id": "41_289786", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-12/", "text": "(9th)-at 3 1/2 oclock.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/35.pdf", "page": 1, "id": "35_723536", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-5/", "text": "for whom he pleads Yours very respectly", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/16.pdf", "page": 1, "id": "16_82933", "type": "absent", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-24/", "text": "ack 5/30/14", "case_sensitive": false, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/21.pdf", "page": 1, "id": "21_382528", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-31/", "before": "and the reason I am writing you regarding my novelty is to see if I cant", "after": "I am sending under separate cover."} | |
| {"pdf": "old_scans/41.pdf", "page": 1, "id": "41_815934", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-12/", "before": "(9th)-at 3 1/2 oclock.", "after": "202 Olive"} | |
| {"pdf": "old_scans/35.pdf", "page": 1, "id": "35_452666", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-5/", "before": "I say \"justice\" for it is justice to", "after": "the writing be involved in this matter further than"} | |
| {"pdf": "old_scans/36.pdf", "page": 1, "id": "36_635380", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-7/", "text": "1,393,083.68 Circulation.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/42.pdf", "page": 1, "id": "42_317757", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-13/", "before": "is as I think unjustly held held as a prisoner at Fort Warren", "after": "make an effort at the State Department for his release - I shall to day forward to Mr."} | |
| {"pdf": "old_scans/14.pdf", "page": 1, "id": "14_588856", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-21/", "text": "wash out some truths for the people as this land of U.S. needs such minds", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/11.pdf", "page": 1, "id": "11_107251", "type": "absent", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-18/", "text": "ack 5/28/14", "case_sensitive": false, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/5.pdf", "page": 1, "id": "5_239258", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-10/", "before": "He is a Protestant, and can not be expected to attend Catholic ceremonials and lend himself to even the appearance of intrigue.", "after": "You have educated us to expect the president to talk, and he who falls short of your measure, will be a public disappointment."} | |
| {"pdf": "old_scans/42.pdf", "page": 1, "id": "42_175840", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-13/", "text": "I am about to make an effort at the State Department", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/30.pdf", "page": 1, "id": "30_424850", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990185/mss382990185-2/", "text": "on you as special contributor in social and political", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/42.pdf", "page": 1, "id": "42_485763", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-13/", "text": "& I am about to make an effort at the", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/10.pdf", "page": 1, "id": "10_810581", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-17/", "before": "We want no fusion or amalgamation with the Republican Party, the", "after": "Chairman of Washington Party in Indiana County, Pa."} | |
| {"pdf": "old_scans/42.pdf", "page": 1, "id": "42_13402", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-13/", "before": "My dear Sir, My friend Andrew Low of Savannah, Geo.", "after": "is as I think unjustly held held as a prisoner at Fort Warren"} | |
| {"pdf": "old_scans/17.pdf", "page": 1, "id": "17_313445", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-27/", "text": "Executive Secretary Recording Secretary Alumni Federation of Columbia University May 22, 1914 Hon.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/34.pdf", "page": 1, "id": "34_59405", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-3/", "before": "Your Ky heart would burn within you could you but know half of the truth of matters in Mo, and the hostile deadly effect made to destroy our church, our beloved and cherished Methodism, by insult and abuse of her ministry.", "after": "Ky will not suffer wrong so fearful to be done if he can prevent it I know not what can be done, or what is best to be done."} | |
| {"pdf": "old_scans/42.pdf", "page": 1, "id": "42_767168", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-13/", "before": "Washington D.C.", "after": "an effort at the State Department for his release"} | |
| {"pdf": "old_scans/30.pdf", "page": 1, "id": "30_937657", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990185/mss382990185-2/", "before": "it into Laurance's hands, for consultation between you and", "after": "in my sincere affection and esteem for you"} | |
| {"pdf": "old_scans/21.pdf", "page": 1, "id": "21_289946", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-31/", "text": "to have part of your business. I wish", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/34.pdf", "page": 1, "id": "34_802495", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-3/", "text": "I throw myself on your superior wisdom and believe you will do what you can either to have the case reexamined the punishment suspended or in someway so modified as that it will not work the sad results it must in its present form.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/47.pdf", "page": 1, "id": "47_566116", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-21/", "text": "I learned Yesterday you address & forwarded a number of letters to you at St Louis", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/43.pdf", "page": 1, "id": "43_928398", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-14/", "text": "During my two months in England I had my eyes open in behalf of our Government & heard Mr.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/21.pdf", "page": 1, "id": "21_745911", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-31/", "text": "receive from you all early and favorable Reply. I am", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/10.pdf", "page": 1, "id": "10_453143", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-17/", "before": "I am, Sincerely,", "after": "J. DAY BROWNLEE, JR."} | |
| {"pdf": "old_scans/30.pdf", "page": 1, "id": "30_684079", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990185/mss382990185-2/", "before": "Indeed strengthened by the profound change in your formal relation in the Outlook.", "after": "Laurance's hands, for consultation between you and him, if, as you have intimated,"} | |
| {"pdf": "old_scans/21.pdf", "page": 1, "id": "21_992153", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-31/", "before": "I am sending under separate cover.", "after": "the reason I am writing you regarding my"} | |
| {"pdf": "old_scans/37.pdf", "page": 1, "id": "37_410156", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-8/", "before": "I have been looking for that promised visit we have had such beautiful weather this fall.", "after": "Holt is very much pleased and is, I hope, progressing rapidly."} | |
| {"pdf": "old_scans/10.pdf", "page": 1, "id": "10_742052", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-17/", "text": "We want no fusion or amalgamation with the Republican Party, the party of Penrose and his ilk.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/43.pdf", "page": 1, "id": "43_286183", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-14/", "text": "our cause by keeping under \"lock & key\"", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/14.pdf", "page": 1, "id": "14_140889", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-21/", "text": "hoping for your good health I am yours,", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/32.pdf", "page": 1, "id": "32_428801", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-1/", "before": "confidance I have in your high regard for justice right and humanity,", "after": "has been one of our most quiet citizens, keeping himself studiously on his farm"} | |
| {"pdf": "old_scans/28.pdf", "page": 1, "id": "28_854151", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-43/", "text": "with the labor organizations and the common people with you ? Address", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/22.pdf", "page": 1, "id": "22_726751", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-33/", "text": "Will expect you for Lunch at Belmont Wednesday any hour you prefer ", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/43.pdf", "page": 1, "id": "43_808975", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-14/", "text": "to our cause by keeping under \"lock & key\" influential", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/28.pdf", "page": 1, "id": "28_340776", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-43/", "text": "The blind groupings of our legislators and", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/33.pdf", "page": 1, "id": "33_155051", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-2/", "text": "in the extreme North Mr Fisher is an old man, has the respect of", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/32.pdf", "page": 1, "id": "32_459245", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-1/", "before": "Dear Sir, Allow me in view of the pleasant", "after": " I have in your high regard for justice right and humanity, to invoke your aid in a matter which I will briefly present."} | |
| {"pdf": "old_scans/4.pdf", "page": 1, "id": "4_945518", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-9/", "before": "The activities by the Knights of Columbus, and the improved public", "after": "government have centered men's attention on the Catholic church and its effort for Catholic schools."} | |
| {"pdf": "old_scans/33.pdf", "page": 1, "id": "33_239974", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-2/", "before": "I know that Military Law is harsh and unfeeling.", "after": "I feel that the Joseph Holt whom with others loved and"} | |
| {"pdf": "old_scans/32.pdf", "page": 1, "id": "32_951435", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-1/", "text": "and humanity, to invoke your aid in a", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/44.pdf", "page": 1, "id": "44_966959", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-16/", "text": "Dear Sir Enclosed please find our receipt for Eight Dollars and Ten Cents with Postage Stamps amt'g to One Dollar and Ninety Cents to balance your ofc- With thanks for your promptness", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/49.pdf", "page": 1, "id": "49_332451", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/civil-war/mss263850032/mss263850032-26/", "text": "calculated to do good - I remain, With great respect Your Servt", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/57.pdf", "page": 1, "id": "57_924812", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/lincoln-trial/mss263850096/mss263850096-11/", "before": "what is the celebrated fourfold division of propositions?", "after": "in what way do simple ideas find admission into the minds?"} | |
| {"pdf": "old_scans/60.pdf", "page": 1, "id": "60_469381", "type": "present", "max_diffs": 2, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730424/mss119730424-5/", "text": "We had found how it came to be hot in some parts of the world and cold in others, and as we wiped our sweaty faces, \"wished it wasn't quite as hot her.\" We went to Africa for lions, leopards, elephants and great snakes; to Italy for oranges and grapes; to California for gold, and \"wished we had some of it here, we would have a better school house.\" We were travelers, and really knew more about the world and its way then we had ever know before in our lives.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/60.pdf", "page": 1, "id": "60_269947", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730424/mss119730424-5/", "before": "They had never seen a blackboard in school.", "after": "wiped our sweaty faces, \"wished it wasn't quite as"} | |
| {"pdf": "old_scans/61.pdf", "page": 1, "id": "61_77136", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730424/mss119730424-8/", "text": "The other teachers, and my own splendid pupils came tenderly to may aid relieving me of every duty possible to be done.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/61.pdf", "page": 1, "id": "61_251292", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730424/mss119730424-8/", "before": "13/51 Left home for Htn.", "after": "Immediately following this little entry is a list of \"Poets from Chaucer"} | |
| {"pdf": "old_scans/64.pdf", "page": 1, "id": "64_259565", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730424/mss119730424-12/", "before": "Some were too denominational in religion to be bored enough to desire them; others too proud to send their children to the public school, which had often", "after": "Whenever the public school system had been tried among a people divided by sectarian quarrels, the citizens themselves split over the question, while the children, catching their lack of respect for a school system, broke up the sessions and ran wild on the streets."} | |
| {"pdf": "old_scans/68.pdf", "page": 1, "id": "68_700993", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730429/mss119730429-5/", "text": "Captain and Assistant Quartermaster. ASISTANT QUARTERMASTER'S OFFICE. Depot of Washington,", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/69.pdf", "page": 1, "id": "69_774491", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730425/mss119730425-2/", "text": "of his inheritance ; the man or woman, tempted by appetite", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/70.pdf", "page": 1, "id": "70_113198", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730425/mss119730425-3/", "before": "The crews are so short handed that no one can be left to make ready for the home comers and their precious freight.", "after": "The station fire is out, or low; no food prepared; nothing ready; everything to be begun."} | |
| {"pdf": "old_scans/70.pdf", "page": 1, "id": "70_365784", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730425/mss119730425-3/", "text": "an Infinite Creator thank any other gift. Every infringement of the law of continence", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/70.pdf", "page": 1, "id": "70_849482", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730425/mss119730425-3/", "before": "all false teachers, false prophets, that cry \"peace, peace, when there is no peace.\"", "after": "Occasionally circumstances require that shipwrecked persons should be out-fitted with clothing."} | |
| {"pdf": "old_scans/71.pdf", "page": 1, "id": "71_270735", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730425/mss119730425-5/", "before": "\"Even when we have had too much respect for womanhood and for ourselves, to heap fresh ignominy upon them, we have been responsible for their blood, inasmuch as we have stood aloof, and have deemed with a cynical apathy, or with the fastidious shrinking of a mistaken refinement, that their fate did not concern us.", "after": "One identifies baptism with regeneration, the sign is exalted into the thing signified, the sacramental water removes the stain and disabilities of inherited depravity."} | |
| {"pdf": "old_scans/72.pdf", "page": 1, "id": "72_202401", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730425/mss119730425-10/", "text": "Edson, }...", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/72.pdf", "page": 1, "id": "72_302075", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730425/mss119730425-10/", "before": "Constructed in accordance with physiological principles, covering the body evenly from neck to waist and ankles -- made from warm, soft and elastic frbric.", "after": "BOSTON OFFICE- No."} | |
| {"pdf": "old_scans/72.pdf", "page": 1, "id": "72_271941", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730425/mss119730425-10/", "text": "covering the body evenly from neck to waist and ankles -- made from warm,", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/74.pdf", "page": 1, "id": "74_576847", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730425/mss119730425-12/", "before": "Copy from Demorest's Monthly.", "after": "Women who desire to form State auxiliary societies should apply for information to"} | |
| {"pdf": "old_scans/74.pdf", "page": 1, "id": "74_886638", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730425/mss119730425-12/", "before": "Women who desire to form State auxiliary societies should apply for information to Mrs.", "after": "All are invited and are requested to bring or"} | |
| {"pdf": "old_scans/75.pdf", "page": 1, "id": "75_107793", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730425/mss119730425-14/", "before": "The Mount Vernon branch of the Women National War Relief Association will hold its meetings every Tuesday at 4 o'clock p.m, at Willard Hall.", "after": "Everyone is cordially invited to these meeting, where the work"} | |
| {"pdf": "old_scans/75.pdf", "page": 1, "id": "75_257861", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730425/mss119730425-14/", "before": "in Willard Hall every Tuesday at 4 o'clock P.M.", "after": "All are most cordially invited to attend."} | |
| {"pdf": "old_scans/76.pdf", "page": 1, "id": "76_184389", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730425/mss119730425-15/", "text": "I enclose these clippings from Mt V- papers to have you see what obstacles I have fought against and overcome.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/76.pdf", "page": 1, "id": "76_436156", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730425/mss119730425-15/", "before": "I enclose these clippings from Mt V- papers to have you see what obstacles I have fought against and overcome.", "after": "Nothing dies, but error and untruth - ; Red Cross will live forever!"} | |
| {"pdf": "old_scans/76.pdf", "page": 1, "id": "76_519231", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730425/mss119730425-15/", "text": "untruth - ; Red Cross will live forever!", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/76.pdf", "page": 1, "id": "76_234130", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730425/mss119730425-15/", "text": "- ; Red Cross will live forever!", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/77.pdf", "page": 1, "id": "77_916651", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-2/", "text": "you must before this have learned Mrs.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/77.pdf", "page": 1, "id": "77_430521", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-2/", "before": "You must before this have learned from my letter to Mrs D.", "after": "with much regret to allow your letter to remain unanswered for a day that I might find time to write you at greater length."} | |
| {"pdf": "old_scans/77.pdf", "page": 1, "id": "77_956279", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-2/", "text": "letter to Mrs D. the occasion of the delay", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/77.pdf", "page": 1, "id": "77_71483", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-2/", "text": "raise the hand of rebellion against the common Country; for that day 1861", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/77.pdf", "page": 1, "id": "77_182634", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-2/", "before": "the occasion of the delay (viz.", "after": "stout box, securely nailed, and delivered given to the Sutler of of the 15th Regt."} | |
| {"pdf": "old_scans/77.pdf", "page": 1, "id": "77_407382", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-2/", "before": "moment when I was more than busy, and as I had just written Mrs Dielinser", "after": "You must before this have learned from my letter to Mrs D."} | |
| {"pdf": "old_scans/78.pdf", "page": 1, "id": "78_12260", "type": "present", "max_diffs": 4, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-3/", "text": "I come now to the expression in your excellent letter which I had all along feared-are our labors needed, are we doing any good - shall we \"work\" or shall we \"forbear\" - from the first I have dreaded lest a sense of vague uncertainty in regard to matters here should discourage the efforts of our patriotic", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/78.pdf", "page": 1, "id": "78_288085", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-3/", "text": "seemed perfectly familiar & while I knew so little. - And", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/79.pdf", "page": 1, "id": "79_981524", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-4/", "text": "and none are admitted - I wished an hour ago that you had been with me - In compliance with a request of my sister in the city I went to her home and found there a young Englishman a brother of one of their domestics who also had enlisted", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/79.pdf", "page": 1, "id": "79_832157", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-4/", "before": "and none are admitted - I wished an hour ago that you had been with me - In compliance with a request of my sister", "after": "found there a young Englishman a brother of one of their domestics who also had enlisted"} | |
| {"pdf": "old_scans/79.pdf", "page": 1, "id": "79_833267", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-4/", "text": "needs necessities might grow to in a", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/79.pdf", "page": 1, "id": "79_453555", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-4/", "before": "enervation from luxuries - Still it is said that \"our army is supplied\".", "after": "of their domestics who also had enlisted"} | |
| {"pdf": "old_scans/80.pdf", "page": 1, "id": "80_740429", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-5/", "text": "Surgeon was killed and that it", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/80.pdf", "page": 1, "id": "80_775990", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-5/", "before": "The surgeon of the Regt comes to see him, but had no idea of his condition, said that their Asst.", "after": "I am accustomed to see people hungry when recovering from a fever but I find that hunger and starvation, are two distinct conditions."} | |
| {"pdf": "old_scans/80.pdf", "page": 1, "id": "80_831414", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-5/", "text": "off at the joints his stockings had never been removed during all", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/80.pdf", "page": 1, "id": "80_592765", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-5/", "text": "frightful When intelligent medical attendance was summoned from the city the", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/80.pdf", "page": 1, "id": "80_704022", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-5/", "before": "see people hungry when recovering from a fever but", "after": "the Regt comes to see him, but had no idea of his condition,"} | |
| {"pdf": "old_scans/80.pdf", "page": 1, "id": "80_763305", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-5/", "before": "fever but I find that hunger and starvation, are two distinct conditions.", "after": "comes to see him, but had no idea of his condition, said"} | |
| {"pdf": "old_scans/81.pdf", "page": 1, "id": "81_520311", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-6/", "text": "If in New England people ladies say men lying in camp uncared for until the toes rotted from their feet with not nurses people enough about them to take care of them we should think they", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/81.pdf", "page": 1, "id": "81_172316", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-6/", "before": " feet with not nurses people enough about them to take care of them we should think they needed more nurses, if with plenty of persons about who failed", "after": "carriages to witness \"Splendid reserves\" and\" inspect the condition of army of the Potomac\" and come away \"delighted\" learn very little of what lies there under canvas."} | |
| {"pdf": "old_scans/81.pdf", "page": 1, "id": "81_209122", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-6/", "text": "this would have been all the end - who even could have mistrusted that", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/81.pdf", "page": 1, "id": "81_321120", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-6/", "text": "to take care of them we should think", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/81.pdf", "page": 1, "id": "81_238275", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-6/", "text": "nurses\" and that \"our army is supplied\" How", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/81.pdf", "page": 1, "id": "81_71324", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-6/", "before": "said, \"We have no need of nurses\" and", "after": "their feet with not nurses people enough"} | |
| {"pdf": "old_scans/82.pdf", "page": 1, "id": "82_617314", "type": "present", "max_diffs": 3, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-7/", "text": "we shall never have any other precise method of discerning the real wants of our soldiers, when the store house of any state should be found empty - it would be safe to conclude that her troops are in want need then let the full govners render the needed required assistance - this would systematize the whole the about matter, and do away with all necessary confusion doubt and uncertanty, - it would preclude all possibility of loss.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/82.pdf", "page": 1, "id": "82_781476", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-7/", "before": "we shall never have any other precise method of discerning the real wants of our soldiers, when the store house of any state should be found empty - it would be safe to conclude that her", "after": "systematize the whole the about matter, and do away with all necessary confusion doubt and uncertanty, - it would preclude all possibility of loss."} | |
| {"pdf": "old_scans/82.pdf", "page": 1, "id": "82_578532", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-7/", "text": "of property - I am confident that this idea cannot be", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/82.pdf", "page": 1, "id": "82_73918", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-7/", "text": "feel at liberty to lay before you, no one can fail to perceive that a", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/82.pdf", "page": 1, "id": "82_794309", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-7/", "text": "involves loss & destruction of property - I am confident that", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/82.pdf", "page": 1, "id": "82_338838", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-7/", "before": "soldiers, when the store house of any state should be found empty", "after": "the business of the ever house to see look to it's own goods property There"} | |
| {"pdf": "old_scans/83.pdf", "page": 1, "id": "83_69942", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-8/", "text": "there were one hundred and one, persons here plus children therewith If pecunarily I were able, Massuchsetts should have her depot in this city and I should have no fears of inability this to me would be no experiment, for however dimly & slowly I discern other points, this has been clear to me from the first.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/83.pdf", "page": 1, "id": "83_62578", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-8/", "before": "When I write another thought idea occurs to me - has it been thought of to procure each of our Regmnts that are to", "after": "until some battle or other action or strong necessity renders supplies necessary - then necessities are sure to follow."} | |
| {"pdf": "old_scans/83.pdf", "page": 1, "id": "83_622554", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-8/", "text": "ruin. there were one hundred and one, persons here plus children therewith If", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/83.pdf", "page": 1, "id": "83_537276", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-8/", "before": "Massuchsetts should have her depot in this city and I should have", "after": "some battle or other action or strong necessity renders"} | |
| {"pdf": "old_scans/83.pdf", "page": 1, "id": "83_974047", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-8/", "before": "strengthened by eight months daily observation.", "after": "their absence will create with regard to our 23 25 & 27 regts I"} | |
| {"pdf": "old_scans/84.pdf", "page": 1, "id": "84_566926", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-9/", "text": "candel in the mouth of a bottle; once pitchy darkness close down upon men bleeding to death, on run essaying to staunch their wounds with husks & straw.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/84.pdf", "page": 1, "id": "84_69642", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-9/", "text": "to staunch their wounds with husks & straw. A note just now informs me", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/84.pdf", "page": 1, "id": "84_902697", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-9/", "before": "manner ticks to be filled with to raise", "after": "dark to me and it seem sometimes that the"} | |
| {"pdf": "old_scans/85.pdf", "page": 1, "id": "85_81849", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-12/", "before": "I ask neither pay or praise, simply a soldier's fare and the sanction of Your Excellency to go and do with my might, whatever my hands find to do.", "after": " am glad to know that somewhere they have learned thier duty to thier country, and have come up neither cowards, or traitors."} | |
| {"pdf": "old_scans/85.pdf", "page": 1, "id": "85_81262", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-12/", "text": "that I incidentally learned that our excellent Dr Hitchcock, has taken back form Roanoke other", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/85.pdf", "page": 1, "id": "85_913682", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-12/", "before": "journeying home, - With this my highest duties close,", "after": "of Your Excellency to go and do with my might, whatever my hands find"} | |
| {"pdf": "old_scans/88.pdf", "page": 1, "id": "88_943533", "type": "absent", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-16/", "text": "Copy.", "case_sensitive": false, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/89.pdf", "page": 1, "id": "89_268175", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-17/", "text": "Boston, March 24th, 1862", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/89.pdf", "page": 1, "id": "89_617040", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-17/", "before": "Letter is request to send Miss Barton to nurse sick & wounded soldiers in Burnside Div", "after": "Whenever yu may be ready to visit Genl Burnsides division I will cheerfully give you a letter of introduction, with my hearty"} | |
| {"pdf": "old_scans/89.pdf", "page": 1, "id": "89_449589", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-17/", "before": "Miss Barton to nurse sick & wounded soldiers in Burnside", "after": "Boston, March 24th, 1862"} | |
| {"pdf": "old_scans/90.pdf", "page": 1, "id": "90_699305", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-18/", "text": "Barton North Oxford.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/90.pdf", "page": 1, "id": "90_622024", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-18/", "text": "High respect I am Your Ob Servant", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/91.pdf", "page": 1, "id": "91_602683", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-19/", "text": "Mary & Robert they took with them to Washingtn and two others Rachael. and Louisa were left in Louisville with Capt. Rudd. or Mrs. Alexander - and now with Mrs. Alexander.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/91.pdf", "page": 1, "id": "91_558177", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-19/", "text": "Mrs. Alexander - and now with Mrs. Alexander. When", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/91.pdf", "page": 1, "id": "91_341737", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-19/", "before": "in Washington had among other servants - one", "after": "and Louisa were left in Louisville with Capt."} | |
| {"pdf": "old_scans/92.pdf", "page": 1, "id": "92_990110", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-20/", "text": "fears they may not be well treated This Mission is transmitted to Rosa, who will make inquiry", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/92.pdf", "page": 1, "id": "92_283432", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-20/", "before": "As a preface to a request that I desire to make at your hnds, allow me without charge", "after": "- Whn our first regt of troop enterss ths city came to the defen of Washington I commenced to look after ther wants - and"} | |
| {"pdf": "old_scans/92.pdf", "page": 1, "id": "92_760981", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-20/", "before": "I was the first who reached them", "after": "Bull Rn I reach Fairfax Station with"} | |
| {"pdf": "old_scans/92.pdf", "page": 1, "id": "92_339445", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-20/", "before": "Gn Pope At the Battle at Cedar Mountain I was", "after": "Bull Rn I reach Fairfax Station with"} | |
| {"pdf": "old_scans/93.pdf", "page": 1, "id": "93_260280", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-21/", "text": "the battle of Charleston had been fought and the station first to be destroyed. I then follwd the rescue of the army next attends for Col. Rucker an", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/93.pdf", "page": 1, "id": "93_288517", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-21/", "text": "at the Lacy House and with the exception of ten which", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/93.pdf", "page": 1, "id": "93_425011", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-21/", "text": "destroyed. I then follwd the rescue of the army next attends", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/93.pdf", "page": 1, "id": "93_147235", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-21/", "text": "of Antietem on the mrng of the 17 Sept and", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/93.pdf", "page": 1, "id": "93_714318", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-21/", "before": "Sturgis by his own special request take charge of my teams.", "after": "have changes my own position and I then mention"} | |
| {"pdf": "old_scans/96.pdf", "page": 1, "id": "96_324569", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-24/", "before": "to Port Bergale and would most respectfully ask of yrs honored Dept permision", "after": "Letter written by Miss Barton to a friend after Bull Run Clara Barton Memorial Association Mrs. John A. Logan, President"} | |
| {"pdf": "old_scans/96.pdf", "page": 1, "id": "96_991188", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-24/", "before": "Sturgis (2nd) Division", "after": "opportunity to send a line by him to you, not feeling quite"} | |
| {"pdf": "old_scans/97.pdf", "page": 1, "id": "97_19767", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-25/", "before": "today and in the course of conversation I discovered that their views were entirely different.", "after": "chided me for having left any thing behind at the depot - as I told him I had done on reaching Falmouth Station we found another old friend Capt."} | |
| {"pdf": "old_scans/97.pdf", "page": 1, "id": "97_490547", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-25/", "text": "down for me, and had Supper arranged and a", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/97.pdf", "page": 1, "id": "97_661332", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-25/", "text": "every day. Col Clark is very neighborly, he is looking finely", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/97.pdf", "page": 1, "id": "97_600341", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-25/", "before": "rods from me, many of the officers call to", "after": "I learned to night that the 15th are only some three miles away."} | |
| {"pdf": "old_scans/97.pdf", "page": 1, "id": "97_86819", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-25/", "before": "Head Quarters My Ambulance came through that P.M, but for fear", "after": "reference to the Justice programme the snow appears"} | |
| {"pdf": "old_scans/98.pdf", "page": 1, "id": "98_573750", "type": "present", "max_diffs": 2, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-30/", "text": "That if in the course of your life and observation sojourn in that treacherous soil and climate, there had time a place when my strength, firm health, and willing hand can and somewhat of experience can benefit the just and holy course in which it is your glorious privilege to serve for which to p forego comfort and peril life, you will tell me, and let me come and do it.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/98.pdf", "page": 1, "id": "98_233508", "type": "order", "max_diffs": 2, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-30/", "before": "Senators Nothing less than a strong conviction of duty owed to one of the brave defenders of our Nation's honor could induce me to intrude for a moment upon the already burdened, and limited term of action yet remaining to your Honorable Body.", "after": "I know the thousands who are also ready and willing waiting, and I offer not because I can do better or as well perhaps as others, but I am stronger, better aclimated, have firmer health, better able to forego comforts than ladies in general."} | |
| {"pdf": "old_scans/98.pdf", "page": 1, "id": "98_540458", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-30/", "text": "at home without a question - under the circumstances he was wise - Or", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/98.pdf", "page": 1, "id": "98_288082", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-30/", "text": "for me to say somethng - and intendue when I should", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/98.pdf", "page": 1, "id": "98_148890", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-30/", "before": "at liberty to ask of such friends as I had in", "after": "course of your life and observation sojourn in that treacherous"} | |
| {"pdf": "old_scans/19.pdf", "page": 1, "id": "19_308830", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-29/", "before": "Please pardon the liberty & take in penning you these few lines,", "after": "Which is self explanatory now what I want to do is this"} | |
| {"pdf": "old_scans/19.pdf", "page": 1, "id": "19_175409", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-29/", "text": "patent, that was issued to me Dec 30th 1913. Which", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/19.pdf", "page": 1, "id": "19_884244", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-29/", "text": "more. Badge Buttons. the more the better and a", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/19.pdf", "page": 1, "id": "19_579605", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-29/", "before": "Letters patent, that was issued to me Dec 30th 1913.", "after": "Which is self explanatory now what I want to"} | |
| {"pdf": "old_scans/99.pdf", "page": 1, "id": "99_651390", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-31/", "before": "with the request that others might be sent them; the 21st had never lost their colors but they had worn them out", "after": "Thus drenched in blood and rent by the fury of eight battles."} | |
| {"pdf": "old_scans/99.pdf", "page": 1, "id": "99_564634", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-31/", "before": "He could no longer support the colors upright.", "after": "A moments reflection will aleviate the necessity of any suggestions in reference"} | |
| {"pdf": "old_scans/18.pdf", "page": 1, "id": "18_18203", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-28/", "text": "May 22/14,", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/18.pdf", "page": 1, "id": "18_866795", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/rough-rider-bull-moose-theodore-roosevelt/guns-august/mss382990184/mss382990184-28/", "text": "THE SATURDAY EVENING POST (Weekly) $1.50", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/52.pdf", "page": 1, "id": "52_591542", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/lincoln-trial/mss263850096/mss263850096-4/", "text": "the civilized world - the historical part", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/52.pdf", "page": 1, "id": "52_323921", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/lincoln-trial/mss263850096/mss263850096-4/", "text": "Europe by bringing the military art to perfection, polishing the manner of the people &", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/52.pdf", "page": 1, "id": "52_987017", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/lincoln-trial/mss263850096/mss263850096-4/", "text": "found in an abridged form in Lytler's History.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/54.pdf", "page": 1, "id": "54_705613", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/lincoln-trial/mss263850096/mss263850096-6/", "text": "exclaimed : oh Lord ! what a night --for catching coons!", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/55.pdf", "page": 1, "id": "55_287312", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/lincoln-trial/mss263850096/mss263850096-8/", "text": "What is method? A. the disposal & arrangement of our thoughts", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/87.pdf", "page": 1, "id": "87_131035", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/clara-barton-angel-of-the-battlefield/subject-file/mss119730433/mss119730433-15/", "text": "for the information of Miss Barton.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/50.pdf", "page": 1, "id": "50_777460", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/lincoln-trial/mss263850096/mss263850096-1/", "before": "the Lord\" But the Christians keep the first day not the seventh - 3.", "after": "not a single word written in the older New Testament nor even an allusion"} | |
| {"pdf": "old_scans/51.pdf", "page": 1, "id": "51_519597", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/lincoln-trial/mss263850096/mss263850096-2/", "text": "The Jew upbraids the christian because his sect observe no sabbath but are in this respect like the Pagans.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/50.pdf", "page": 1, "id": "50_99814", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/lincoln-trial/mss263850096/mss263850096-1/", "text": "& in this submission then will be no piety", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/51.pdf", "page": 1, "id": "51_807549", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/lincoln-trial/mss263850096/mss263850096-2/", "text": "Jew upbraids the christian because his sect observe no", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/51.pdf", "page": 1, "id": "51_865662", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/lincoln-trial/mss263850096/mss263850096-2/", "before": "Justin makes the christian admit & justify it & he sneers at the Jewish sabbath as a day of mere idleness", "after": "states that as \"sabbath & sacrifice & oblation began from Moses, so according to the counsel of your fathers they were to end in Christ."} | |
| {"pdf": "old_scans/51.pdf", "page": 1, "id": "51_568582", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/lincoln-trial/mss263850096/mss263850096-2/", "text": "makes the christian admit & justify it & he sneers at the Jewish sabbath as", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/50.pdf", "page": 1, "id": "50_930659", "type": "order", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/lincoln-trial/mss263850096/mss263850096-1/", "before": "There is not a single word written in the older New Testament nor even an allusion relating", "after": "of the first day for the seventh - The subject is not mentioned in any of the"} | |
| {"pdf": "old_scans/50.pdf", "page": 1, "id": "50_262572", "type": "present", "max_diffs": 1, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/lincoln-trial/mss263850096/mss263850096-1/", "text": "The language of the 4th commandment is, \"The seventh day is the Sabbath of the Lord\" But the Christians keep the first day not the seventh - 3.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans/51.pdf", "page": 1, "id": "51_813035", "type": "order", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/lincoln-trial/mss263850096/mss263850096-2/", "before": "It is a dialogue between a learned Jew & a christian.", "after": "because his sect observe no sabbath but are in this respect like"} | |
| {"pdf": "old_scans/56.pdf", "page": 1, "id": "56_508369", "type": "present", "max_diffs": 0, "checked": "verified", "url": "https://crowd.loc.gov/campaigns/joseph-holt/lincoln-trial/mss263850096/mss263850096-10/", "text": "it is an original impression existing in the mind under one uniform appearance, without variety or composition.", "case_sensitive": true, "first_n": null, "last_n": null} | |
| {"pdf": "old_scans_math/1_pg72.pdf", "page": 1, "id": "1_pg72_equation_01", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.222025/page/n71/mode/2up", "math": "-\\frac{1}{a^{2}.(2 n-2)} \\int \\frac{dx}{(a^{2}+x^{2})^{n-1}}+\\frac{1}{a^{2}} \\int \\frac{dx}{(a^{2}+x^{2})^{n-1}}", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/1_pg72.pdf", "page": 1, "id": "1_pg72_equation_04", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.222025/page/n71/mode/2up", "math": "p=x^{m-1}, dq=x(a^{2}+x^{2})^{-n} dx", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/1_pg72.pdf", "page": 1, "id": "1_pg72_equation_09", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.222025/page/n71/mode/2up", "math": "\\therefore u=a^{2} \\int(a^{2}-x^{2})^{\\frac{n-2}{2}} dx-\\int x . x(a^{2}-x^{2})^{\\frac{n-2}{2}} dx", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/1_pg125.pdf", "page": 1, "id": "1_pg125_equation_09", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.222025/page/n123/mode/2up", "math": "= \\int \\sqrt{\\frac{x^{\\frac{2}{3}} + y^{\\frac{2}{3}}}{x^{\\frac{1}{3}}}} = \\int \\frac{a^{\\frac{1}{3}}}{x^{\\frac{1}{3}}} = \\frac{3}{2} a^{\\frac{1}{3}} x^{\\frac{2}{3}}", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/1_pg19.pdf", "page": 1, "id": "1_pg19_equation_07", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.222025/page/n17/mode/2up", "math": "=\\frac{1}{3}\\int\\{\\frac{dx}{(1+x^{2})}-\\frac{dx}{(1+\\frac{x^{2}}{4})}\\}", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/1_pg61.pdf", "page": 1, "id": "1_pg61_equation_01", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.222025/page/n59/mode/2up", "math": "=-\\int \\frac{dz}{\\sqrt{z^2 + z - 1}} = -\\int \\frac{dz}{\\sqrt{(z + \\frac{1}{2})^2 - \\frac{5}{4}}}", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/1_pg63.pdf", "page": 1, "id": "1_pg63_equation_04", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.222025/page/n62/mode/2up", "math": "= \\frac{2}{3} \\sin^{-1} \\frac{x^{\\frac{3}{2}}}{a^{\\frac{3}{2}}}", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/1_pg63.pdf", "page": 1, "id": "1_pg63_equation_05", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.222025/page/n62/mode/2up", "math": "\\theta = \\sin^{-1} \\frac{x^{\\frac{3}{2}}}{a^{\\frac{3}{2}}}", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/1_pg63.pdf", "page": 1, "id": "1_pg63_equation_06", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.222025/page/n62/mode/2up", "math": "\\tan \\theta = \\frac{\\sin \\theta}{\\sqrt{1-\\sin^2 \\theta}} = \\frac{x^{\\frac{3}{2}}}{\\sqrt{a^3-x^3}}", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/1_pg63.pdf", "page": 1, "id": "1_pg63_equation_10", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.222025/page/n62/mode/2up", "math": "=-\\int \\frac{dz}{z^2(\\frac{1}{z^2}-a^2)^{\\frac{3}{2}}} = -\\int \\frac{z dz}{(1-a^2 z^2)^{\\frac{3}{2}}}", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/1_pg113.pdf", "page": 1, "id": "1_pg113_equation_04", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.222025/page/n111/mode/2up", "math": "AD^{2}: AG.GB :: CD : EG", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/1_pg113.pdf", "page": 1, "id": "1_pg113_equation_13", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.222025/page/n111/mode/2up", "math": "A N'P' = \\int \\beta d\\alpha = \\frac{2}{3\\sqrt{3} a}\\int (\\alpha - 2a)^{\\frac{3}{2}} d\\alpha", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg634.pdf", "page": 1, "id": "3_pg634_equation_05", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n633/mode/2up", "math": "y-x=\\frac{[x x]}{[x x] x}", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg634.pdf", "page": 1, "id": "3_pg634_equation_06", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n633/mode/2up", "math": "\\xi_{1}=\\dot{x}", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg634.pdf", "page": 1, "id": "3_pg634_equation_08", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n633/mode/2up", "math": "\\xi_{2}=x / h", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg634.pdf", "page": 1, "id": "3_pg634_equation_09", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n633/mode/2up", "math": "\\xi_{3}=\\left[\\xi_{1} \\xi_{2}\\right], \\pm \\sqrt{{\\xi_{3}}^{2}}=1 / \\tau", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg634.pdf", "page": 1, "id": "3_pg634_equation_21", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n633/mode/2up", "math": "k \\xi_{2}-l^{2} \\xi_{1}+\\frac{k}{\\tau} \\xi_{3}", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg634.pdf", "page": 1, "id": "3_pg634_equation_24", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n633/mode/2up", "math": "x \\eta=\\xi_{1} \\eta", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg634.pdf", "page": 1, "id": "3_pg634_equation_30", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n633/mode/2up", "math": "\\frac{\\partial^{2} z}{\\partial x^{2}}, \\frac{\\partial^{2} z}{\\partial x \\partial y}, \\frac{\\partial^{2} z}{\\partial y^{2}}", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg39.pdf", "page": 1, "id": "3_pg39_equation_15", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n37/mode/2up", "math": "+ C(g'x' + h'y' + k'x') + D = 0", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg39.pdf", "page": 1, "id": "3_pg39_equation_25", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n37/mode/2up", "math": "c'A + f'B + h'C = 0", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg204.pdf", "page": 1, "id": "3_pg204_equation_00", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n203/mode/2up", "math": "f_{x} + \\lambda \\phi_{x} + \\mu \\psi_{x} = 0", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg204.pdf", "page": 1, "id": "3_pg204_equation_01", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n203/mode/2up", "math": "\\phi_{y} + \\phi_{z} \\frac{\\partial z}{\\partial y} + \\phi_{t} \\frac{\\partial t}{\\partial y} = 0", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg204.pdf", "page": 1, "id": "3_pg204_equation_02", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n203/mode/2up", "math": "\\psi_{y} + \\psi_{z} \\frac{\\partial z}{\\partial y} + \\psi_{t} \\frac{\\partial t}{\\partial y} = 0", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg204.pdf", "page": 1, "id": "3_pg204_equation_03", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n203/mode/2up", "math": "f_{y} + f{z} \\frac{\\partial z}{\\partial y} + f_{t} \\frac{\\partial t}{\\partial y} = 0", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg204.pdf", "page": 1, "id": "3_pg204_equation_04", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n203/mode/2up", "math": "f_{y} + \\lambda \\phi_{y} + \\mu \\psi_{y} = 0", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg204.pdf", "page": 1, "id": "3_pg204_equation_13", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n203/mode/2up", "math": "\\frac{\\partial(\\phi, \\psi)}{\\partial(x, y)}, \\frac{\\partial(\\phi, \\psi)}{\\partial(x, z)}, \\dots, \\frac{\\partial(\\phi, \\psi)}{\\partial(z, t)}", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg101.pdf", "page": 1, "id": "3_pg101_equation_04", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n99/mode/2up", "math": "\\frac{\\partial u_{1}}{\\partial x_{1}} + \\frac{\\partial u_{2}}{\\partial x_{2}} + \\frac{\\partial u_{3}}{\\partial x_{3}} = \\frac{\\partial \\omega_{1}}{\\partial \\xi_{1}} + \\frac{\\partial \\omega{2}}{\\partial \\xi_{2}} + \\frac{\\partial \\omega_{3}}{\\partial \\xi_{3}}", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg270.pdf", "page": 1, "id": "3_pg270_equation_00", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n269/mode/2up", "math": "\\iint_{K_{m}} e^{-x^{2}-y^{2}}dxdy \\leqq \\iint_{R_{v}} e^{-x^{2}-y^{2}}dxdy \\leqq \\iint_{K_{M}} e^{-x^{2}-y^{2}}dxdy", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg270.pdf", "page": 1, "id": "3_pg270_equation_01", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n269/mode/2up", "math": "\\iint_{R_{v}} e^{-x^{2}-y^{2}}dxdy=\\int_{-v}^{v}e^{-x^{2}}dx\\int_{-v}^{1}e^{-y^{2}}dy=\\left(\\int_{-v}^{v}e^{-x^{2}}dx\\right)^{2}=\\left(2\\int_{0}^{v}e^{-x^{2}}dx\\right)^{2}", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg148.pdf", "page": 1, "id": "3_pg148_equation_01", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n147/mode/2up", "math": "\\eta = \\theta = \\arctan (y/x)", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg251.pdf", "page": 1, "id": "3_pg251_equation_00", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n249/mode/2up", "math": "\\lim_{\\delta \\to 0} \\int_{\\psi_{1}(x)}^{\\overline{\\psi_{2}}(x)} f(x, y) dy = \\int_{\\psi_{1}(x)}^{\\psi_{2}(x)} f(x, y) dy", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg251.pdf", "page": 1, "id": "3_pg251_equation_01", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n249/mode/2up", "math": "\\lim_{\\delta \\to 0} \\int_{x_{0}'}^{x_{1}'} dx \\int_{\\overline{\\psi_{1}}(x)}^{\\overline{\\psi_{2}}(x)} f(x, y) dx = \\int_{x_{0}}^{x_{1}} dx \\int_{\\psi_{1}(x)}^{\\psi_{2}(x)} f(x, y) dx", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg251.pdf", "page": 1, "id": "3_pg251_equation_03", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n249/mode/2up", "math": "\\iint_{R} f(x, y) dS = \\int_{x_{0}}^{x_{1}} dx \\int_{\\psi{1}(x)}^{\\psi_{2}(x)} f(x, y) dy", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/3_pg251.pdf", "page": 1, "id": "3_pg251_equation_04", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/in.ernet.dli.2015.212519/page/n249/mode/2up", "math": "\\iint f(x, y) dy", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/2_pg39.pdf", "page": 1, "id": "2_pg39_equation_15", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/integralcalculus00philrich/page/n37/mode/2up", "math": "y = (\\frac{1 - x}{1 + x})^{\\frac{1}{3}}", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/2_pg65.pdf", "page": 1, "id": "2_pg65_equation_02", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/integralcalculus00philrich/page/n63/mode/2up", "math": "d tan u = \\frac{cos u d sin u - sin u d cos u}{cos^2 u} = \\frac{cos^2 u du + sin^2 u du}{cos^2 u}", "ignore_dollar_delimited": false} | |
| {"pdf": "old_scans_math/2_pg65.pdf", "page": 1, "id": "2_pg65_equation_12", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/integralcalculus00philrich/page/n63/mode/2up", "math": "= sec 2 x sec^2 2 x (2) + tan-2 x sec 2 x tan 2 x (2)", "ignore_dollar_delimited": false} | |
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| {"pdf": "old_scans_math/4_pg48.pdf", "page": 1, "id": "4_pg48_equation_23", "type": "math", "max_diffs": 0, "checked": "verified", "url": "https://archive.org/details/advancedalgebra00schu/page/32/mode/2up", "math": "9a-[-7a+\\{56 - (a - b) + \\overline{a -b}\\}]", "ignore_dollar_delimited": false} | |
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