queries.jsonl

{"_id": "NTCIR12-MathWiki-1", "text": "$-0.026838601\\ldots$"}
{"_id": "NTCIR12-MathWiki-3", "text": "$N=\\left\\lfloor 0.5-\\log_{2}\\left(\\frac{\\text{Frequency of this item}}{\\text{ Frequency of most common item}}\\right)\\right\\rfloor$"}
{"_id": "NTCIR12-MathWiki-4", "text": "$\\mathbf{\\nabla}\\times\\mathbf{B}=\\mu_{0}\\mathbf{J}+\\underbrace{\\mu_{0}\\epsilon_{0}\\frac{\\partial}{\\partial t}\\mathbf{E}}_{\\mathrm{Maxwell^{\\prime}s\\ term}}$"}
{"_id": "NTCIR12-MathWiki-5", "text": "$1+\\cfrac{1}{2+\\cfrac{1}{5+\\cfrac{1}{5+\\cfrac{1}{4+\\ddots}}}}$"}
{"_id": "NTCIR12-MathWiki-6", "text": "$\\,{}^{238}_{92}\\mathrm{U}+\\,^{64}_{28}\\mathrm{Ni}\\to\\,^{302}_{120}\\mathrm{Ubn}^{*}\\to\\ \\mathit{fission\\ only}$"}
{"_id": "NTCIR12-MathWiki-7", "text": "$0\\to G^{\\wedge}\\stackrel{\\pi^{\\wedge}}{\\to}X^{\\wedge}\\stackrel{\\imath^{\\wedge}}{\\to}H^{\\wedge}\\to 0$"}
{"_id": "NTCIR12-MathWiki-8", "text": "$w=\\begin{cases}w^{*}&\\mbox{if }w^{*}>\\frac{1}{2},\\\\ \\frac{1}{2}&\\mbox{if }w^{*}\\leq\\frac{1}{2}.\\\\ \\end{cases}$"}
{"_id": "NTCIR12-MathWiki-9", "text": "$\\begin{bmatrix}V_{1}\\\\ I_{2}\\end{bmatrix}=\\begin{bmatrix}h_{11}&h_{12}\\\\ h_{21}&h_{22}\\end{bmatrix}\\begin{bmatrix}I_{1}\\\\ V_{2}\\end{bmatrix}$"}
{"_id": "NTCIR12-MathWiki-10", "text": "$L(\\lambda,\\alpha,s)=\\sum_{n=0}^{\\infty}\\frac{\\exp(2\\pi i\\lambda n)}{(n+\\alpha)^{s}}.$"}
{"_id": "NTCIR12-MathWiki-11", "text": "$\\ ax^{2}+bx+c=0$"}
{"_id": "NTCIR12-MathWiki-12", "text": "$O(mn\\log m)$"}
{"_id": "NTCIR12-MathWiki-13", "text": "$A\\oplus B=(A^{c}\\ominus B^{s})^{c}$"}
{"_id": "NTCIR12-MathWiki-14", "text": "$\\cos\\alpha=-\\cos\\beta\\cos\\gamma+\\sin\\beta\\sin\\gamma\\cosh\\frac{a}{k},\\,$"}
{"_id": "NTCIR12-MathWiki-15", "text": "$\\forall x,y\\in A\\;[x\\neq y\\rightarrow\\neg\\exists z\\in X\\;[z\\leq x\\land z\\leq y]].$"}
{"_id": "NTCIR12-MathWiki-16", "text": "$\\tau_{\\text{rms}}=\\sqrt{\\frac{\\int_{0}^{\\infty}(\\tau-\\overline{\\tau})^{2}A_{c}(\\tau)d\\tau}{\\int_{0}^{\\infty}A_{c}(\\tau)d\\tau}}$"}
{"_id": "NTCIR12-MathWiki-17", "text": "$x-1-\\frac{1}{2}-\\frac{1}{4}-\\frac{1}{5}-\\frac{1}{6}-\\frac{1}{9}-\\cdots=1$"}
{"_id": "NTCIR12-MathWiki-18", "text": "$P_{i}^{x}=\\frac{N!}{n_{x}!(N-n_{x})!}p_{x}^{n_{x}}(1-p_{x})^{N-n_{x}}$"}
{"_id": "NTCIR12-MathWiki-19", "text": "$H_{ij}=\\begin{bmatrix}{\\partial^{2}V_{ij}\\over\\partial x_{i}\\partial x_{j}}&{\\partial^{2}V_{ij}\\over\\partial x_{i}\\partial y_{j}}&{\\partial^{2}V_{ij}\\over\\partial x_{i}\\partial z_{j}}\\\\ {\\partial^{2}V_{ij}\\over\\partial y_{i}\\partial x_{j}}&{\\partial^{2}V_{ij}\\over\\partial y_{i}\\partial y_{j}}&{\\partial^{2}V_{ij}\\over\\partial y_{i}\\partial z_{j}}\\\\ {\\partial^{2}V_{ij}\\over\\partial z_{i}\\partial x_{j}}&{\\partial^{2}V_{ij}\\over\\partial z_{i}\\partial y_{j}}&{\\partial^{2}V_{ij}\\over\\partial z_{i}\\partial z_{j}}\\end{bmatrix}$"}
{"_id": "NTCIR12-MathWiki-20", "text": "$r_{xy}=\\frac{\\sum\\limits_{i=1}^{n}(x_{i}-\\bar{x})(y_{i}-\\bar{y})}{(n-1)s_{x}s_{y}}=\\frac{\\sum\\limits_{i=1}^{n}(x_{i}-\\bar{x})(y_{i}-\\bar{y})}{\\sqrt{\\sum\\limits_{i=1}^{n}(x_{i}-\\bar{x})^{2}\\sum\\limits_{i=1}^{n}(y_{i}-\\bar{y})^{2}}},$"}
{"_id": "NTCIR12-MathWiki-21", "text": "$-0.\\qvar{*1*}\\ldots$"}
{"_id": "NTCIR12-MathWiki-22", "text": "$\\mathfrak{P}^{\\qvar{*1*}}$"}
{"_id": "NTCIR12-MathWiki-23", "text": "$\\qvar{*1*}\\left(\\frac{\\text{Frequency \\qvar{*2*}}}{\\text{Frequency \\qvar{*3*}}}\\right)$"}
{"_id": "NTCIR12-MathWiki-24", "text": "$\\underbrace{\\qvar{*1*}}_{\\qvar{*2*}}$"}
{"_id": "NTCIR12-MathWiki-25", "text": "$1+\\cfrac{1}{\\qvar{*1*}+\\cfrac{1}{\\qvar{*2*}}}$"}
{"_id": "NTCIR12-MathWiki-26", "text": "$\\,{}^{238}_{92}\\mathrm{U}+\\qvar{*1*}\\to\\qvar{*2*}$"}
{"_id": "NTCIR12-MathWiki-27", "text": "$\\qvar{*1*}^{\\wedge}\\stackrel{\\qvar{*2*}^{\\wedge}}{\\to}\\qvar{*3*}^{\\wedge}$"}
{"_id": "NTCIR12-MathWiki-28", "text": "$\\qvar{*1*}=\\{\\begin{array}[]{ll}\\qvar{*2*}&\\mbox{if }\\qvar{*3*}>\\frac{1}{2}\\\\ \\qvar{*4*}&\\mbox{if }\\qvar{*3*}\\leq\\frac{1}{2}\\\\ \\end{array}$"}
{"_id": "NTCIR12-MathWiki-29", "text": "$\\qvar{*1*}=\\begin{bmatrix}\\qvar{*2*}&\\qvar{*3*}\\\\ \\qvar{*4*}&\\qvar{*5*}\\end{bmatrix}\\begin{bmatrix}\\qvar{*6*}\\\\ \\qvar{*7*}\\end{bmatrix}$"}
{"_id": "NTCIR12-MathWiki-30", "text": "$L(\\qvar{*1*},\\qvar{*2*},\\qvar{*3*})=\\sum_{\\qvar{*4*}=0}^{\\infty}\\frac{\\exp(2\\pi i\\qvar{*1*}\\qvar{*4*})}{(\\qvar{*4*}+\\qvar{*2*})^{\\qvar{*3*}}}$"}
{"_id": "NTCIR12-MathWiki-31", "text": "$\\qvar{*1*}x^{2}+\\qvar{*2*}x+\\qvar{*3*}=0$"}
{"_id": "NTCIR12-MathWiki-32", "text": "$O(\\qvar{*1*}\\log\\qvar{*2*})$"}
{"_id": "NTCIR12-MathWiki-33", "text": "$A~{}\\qvar{*1*}~{}B=(\\qvar{*2*})^{\\qvar{*3*}}$"}
{"_id": "NTCIR12-MathWiki-34", "text": "$\\qvar{*1*}\\alpha=-\\qvar{*1*}\\beta\\qvar{*1*}\\gamma+\\qvar{*2*}\\beta\\qvar{*2*}\\gamma\\qvar{*3*}$"}
{"_id": "NTCIR12-MathWiki-35", "text": "$\\forall x,y\\in\\qvar{*1*}\\;[x\\neq y\\rightarrow\\qvar{*2*}]$"}
{"_id": "NTCIR12-MathWiki-36", "text": "$\\qvar{*1*}=\\sqrt{\\frac{\\int_{0}^{\\infty}\\qvar{*2*}^{2}\\qvar{*3*}~{}d\\qvar{*1*}}{\\int_{0}^{\\infty}\\qvar{*3*}~{}d\\qvar{*1*}}}$"}
{"_id": "NTCIR12-MathWiki-37", "text": "$\\frac{1}{\\qvar{*1*}}-\\frac{1}{\\qvar{*2*}}-\\frac{1}{\\qvar{*3*}}-\\frac{1}{\\qvar{*4*}}-\\frac{1}{\\qvar{*5*}}$"}
{"_id": "NTCIR12-MathWiki-38", "text": "$\\frac{N!}{\\qvar{*1*}!(N-\\qvar{*1*})!}p^{\\qvar{*1*}}(1-p)^{N-\\qvar{*1*}}$"}
{"_id": "NTCIR12-MathWiki-39", "text": "$H_{\\qvar{*1*}}=\\begin{bmatrix}{\\partial^{2}\\qvar{*2*}\\over\\qvar{*3*}}\\end{bmatrix}$"}
{"_id": "NTCIR12-MathWiki-40", "text": "$\\frac{\\sum\\limits_{i=1}^{n}(\\qvar{*1*}_{i}-\\bar{\\qvar{*1*}})(\\qvar{*2*}_{i}-\\bar{\\qvar{*2*}})}{\\sqrt{\\sum\\limits_{i=1}^{n}(\\qvar{*1*}_{i}-\\bar{\\qvar{*1*}})^{2}\\sum\\limits_{i=1}^{n}(\\qvar{*2*}_{i}-\\bar{\\qvar{*2*}})^{2}}}$"}