s stringlengths 1 39 | o stringclasses 996
values | p stringlengths 7 77 | confidence float64 0.4 1 | predicate_class stringclasses 2
values | community int64 0 14 ⌀ | equation_name stringlengths 14 73 ⌀ | equation_latex stringlengths 5 217 ⌀ | equation_sympy stringclasses 617
values | equation_form stringclasses 472
values | variables stringlengths 2 85 ⌀ | domain stringclasses 119
values | scm_name stringclasses 165
values | source stringlengths 9 50 ⌀ | extraction_method stringclasses 8
values |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
o | i | urn:hailstone:astronomy:structural_equation[388080855d59] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.23195v1.eq_921 | \overline{T}=1.7 | arxiv_extracted | ["e", "o", "i", "r", "l", "v"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.23195v1 | cross_domain_amplification | |
o | i | urn:hailstone:astronomy:structural_equation[98636cc6895f] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.23195v1.eq_922 | \overline{L_X}=10^{43} | arxiv_extracted | ["e", "o", "i", "r", "l", "v"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.23195v1 | cross_domain_amplification | |
l | t | urn:hailstone:astronomy:structural_equation[cab55a39327d] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.22454v1.eq_923 | \ln(10^{10}A_{\mathrm{s}}) = 3.048_{-0.012}^{+0.011} | arxiv_extracted | ["a", "t", "m", "A", "n", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.22454v1 | cross_domain_amplification | |
N | f | urn:hailstone:astronomy:structural_equation[d362768bdc3b] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.22391v2.eq_924 | N_{\rm eff} = 2.81\pm0.12 | arxiv_extracted | ["e", "f", "m", "r", "N"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.22391v2 | cross_domain_amplification | |
N | f | urn:hailstone:astronomy:structural_equation[0f51011111df] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.22391v2.eq_925 | N_{\rm eff}=2.81\pm0.12 | arxiv_extracted | ["e", "f", "m", "r", "N"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.22391v2 | cross_domain_amplification | |
f | Q | urn:hailstone:astronomy:structural_equation[ef53268b7683] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.21881v1.eq_926 | f\left( Q\right) =f_{0}Q^{n} | arxiv_extracted | ["f", "e", "Q", "t", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.21881v1 | cross_domain_amplification | |
r | N | urn:hailstone:astronomy:structural_equation[8ecaddaf6957] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.21127v1.eq_927 | γ_{\rm PPN} = 1.102^{+0.148}_{-0.125} | arxiv_extracted | ["N", "m", "r", "P"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.21127v1 | cross_domain_amplification | |
r | N | urn:hailstone:astronomy:structural_equation[44246543b31f] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.21127v1.eq_928 | γ_{\rm PPN} = 1.150^{+0.139}_{-0.118} | arxiv_extracted | ["N", "m", "r", "P"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.21127v1 | cross_domain_amplification | |
r | N | urn:hailstone:astronomy:structural_equation[d4972df544fb] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.21127v1.eq_929 | γ_{\rm PPN} = 1.315^{+0.181}_{-0.155} | arxiv_extracted | ["N", "m", "r", "P"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.21127v1 | cross_domain_amplification | |
r | N | urn:hailstone:astronomy:structural_equation[3abc6605a8a0] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.21127v1.eq_930 | γ_{\rm PPN} = 1.485^{+0.193}_{-0.168} | arxiv_extracted | ["N", "m", "r", "P"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.21127v1 | cross_domain_amplification | |
l | t | urn:hailstone:astronomy:structural_equation[8dbbe6c345e5] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.19898v2.eq_931 | Δ\ln b_\mathrm{WL}=0.030 | arxiv_extracted | ["a", "t", "m", "n", "b", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.19898v2 | cross_domain_amplification | |
q | M | urn:hailstone:astronomy:structural_equation[2c01181cd0d1] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.18826v1.eq_932 | q_{\rm M}=1 | arxiv_extracted | ["M", "m", "q", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.18826v1 | cross_domain_amplification | |
M_{200} | a | urn:hailstone:astronomy:structural_equation[e104919f8fca] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.16706v2.eq_933 | M_{200}=1.04_{-0.08}^{+0.07}~({\rm stat})\pm 0.09~({\rm syst})\times 10^{15}\,\mathrm{M}_\odot | arxiv_extracted | ["a", "t", "m", "r", "M_{200}", "s"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.16706v2 | cross_domain_amplification | |
r_{200} | t | urn:hailstone:astronomy:structural_equation[582794a28518] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.16706v2.eq_934 | r_{200}=2.07 \pm 0.05\,\mathrm{Mpc} | arxiv_extracted | ["a", "r_{200}", "t", "m", "p"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.16706v2 | cross_domain_amplification | |
r | a | urn:hailstone:astronomy:structural_equation[3a60e615b2d8] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.16706v2.eq_935 | r_{\rm s}=0.73^{+0.24}_{-0.30}\,\mathrm{Mpc} | arxiv_extracted | ["s", "m", "r", "a"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.16706v2 | cross_domain_amplification | |
M_{200} | t | urn:hailstone:astronomy:structural_equation[912b69585222] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.16706v2.eq_936 | M_{200}^{\rm DM}=8.6^{+1.2}_{-0.8}\times 10^{14}\,\text{M}_\odot | arxiv_extracted | ["D", "t", "M", "m", "r", "M_{200}"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.16706v2 | cross_domain_amplification | |
o | t | urn:hailstone:astronomy:structural_equation[2fe6be3a1984] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.16003v2.eq_937 | \operatorname{Med}\left( Δχ^2\right) = 0.069 | arxiv_extracted | ["e", "a", "t", "o", "p", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.16003v2 | cross_domain_amplification | |
z | e | urn:hailstone:astronomy:structural_equation[477a9333b44c] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.15868v1.eq_938 | z^\dagger = 1.51^{+0.68}_{-0.34} | arxiv_extracted | ["e", "g", "z", "a", "d"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.15868v1 | cross_domain_amplification | |
r | r | urn:hailstone:astronomy:structural_equation[e59864b5e888] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.15868v1.eq_939 | ρ_{\rm DE}+p_{\rm DE}=0 | arxiv_extracted | ["D", "m", "p", "r", "E"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.15868v1 | cross_domain_amplification | |
z | C | urn:hailstone:astronomy:structural_equation[6cfba538bd76] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.15868v1.eq_940 | z_{\rm NECB}=2.36^{+1.48}_{-1.48} | arxiv_extracted | ["z", "C", "m", "r", "E", "N"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.15868v1 | cross_domain_amplification | |
f | t | urn:hailstone:astronomy:structural_equation[bd1308ce4fca] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.13486v2.eq_941 | f^{\rm orth^*}_{\rm NL} = -12\pm12 | arxiv_extracted | ["f", "t", "m", "o", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.13486v2 | cross_domain_amplification | |
N | f | urn:hailstone:astronomy:structural_equation[948275323f92] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.13226v2.eq_942 | N_{\rm eff}=2.990\pm0.070 | arxiv_extracted | ["e", "f", "m", "r", "N"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.13226v2 | cross_domain_amplification | |
N | f | urn:hailstone:astronomy:structural_equation[1d4d900a0c45] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.13226v2.eq_943 | N_{\rm eff}=3.044 | arxiv_extracted | ["e", "f", "m", "r", "N"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.13226v2 | cross_domain_amplification | |
s | m_ν | urn:hailstone:astronomy:structural_equation[eb44f4e86b6a] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.13208v1.eq_944 | \sum m_ν= 0 | arxiv_extracted | ["s", "u", "m", "m_\u03bd"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.13208v1 | cross_domain_amplification | |
s | a | urn:hailstone:astronomy:structural_equation[f7a77dfd96e0] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.13208v1.eq_945 | \sum m_{ν,\mathrm{eff}} = -0.011^{+0.052}_{-0.050} | arxiv_extracted | ["a", "m_{\u03bd", "m", "u", "s"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.13208v1 | cross_domain_amplification | |
s | a | urn:hailstone:astronomy:structural_equation[c475bb4c1363] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.13208v1.eq_946 | \sum m_{ν,\mathrm{eff}} = -0.07 \pm 0.11 | arxiv_extracted | ["a", "m_{\u03bd", "m", "u", "s"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.13208v1 | cross_domain_amplification | |
f | m | urn:hailstone:astronomy:structural_equation[661d3c768a71] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.13095v1.eq_947 | f_{\rm b} = Ω_{\rm b}/Ω_{\rm m} | arxiv_extracted | ["f", "b", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.13095v1 | cross_domain_amplification | |
l | f_{R0} | urn:hailstone:astronomy:structural_equation[6f0d5e480b6a] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.12504v2.eq_948 | σ(\ln|f_{R0}|) = 2.236 | arxiv_extracted | ["n", "l", "f_{R0}"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.12504v2 | cross_domain_amplification | |
l | f_{R0} | urn:hailstone:astronomy:structural_equation[ec6bcdb1b57f] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.12504v2.eq_949 | σ(\ln|f_{R0}|) = 2.237 | arxiv_extracted | ["n", "l", "f_{R0}"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.12504v2 | cross_domain_amplification | |
n | c | urn:hailstone:astronomy:structural_equation[ffb05e59c389] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.11794v2.eq_950 | n_{\mathcal{S}}=0.98 | arxiv_extracted | ["a", "t", "m", "h", "n", "c"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.11794v2 | cross_domain_amplification | |
m | a | urn:hailstone:astronomy:structural_equation[b920c74ad6e8] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.13408v1.eq_951 | \mathcal{L}_{\rm [\it p \rm]}=T_{\rm [\it p \rm]}/(p+1) | arxiv_extracted | ["a", "t", "m", "h", "c"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.13408v1 | cross_domain_amplification | |
m | a | urn:hailstone:astronomy:structural_equation[1606357c1362] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.13408v1.eq_952 | \mathcal{L}_{\rm [0]}=T_{\rm [0]} | arxiv_extracted | ["a", "t", "m", "h", "c"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.13408v1 | cross_domain_amplification | |
g_{aγγ} | s | urn:hailstone:astronomy:structural_equation[28f1ec7eb32b] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.11657v1.eq_953 | g_{aγγ} = (1.76^{+6.69}_{-1.64})\times10^{-16}\,{\rm GeV}^{-1} | arxiv_extracted | ["e", "g_{a\u03b3\u03b3}", "t", "m", "i", "s"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.11657v1 | cross_domain_amplification | |
f | M | urn:hailstone:astronomy:structural_equation[3b8bcb4d7586] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.11657v1.eq_954 | f_{\rm IGM} = 0.837^{+0.053}_{-0.056} | arxiv_extracted | ["f", "M", "G", "m", "r", "I"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.11657v1 | cross_domain_amplification | |
M | r | urn:hailstone:astronomy:structural_equation[03a46273a2c7] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.11160v1.eq_955 | M^\mathrm{TRGB}_\mathrm{F090W} = -4.40 \pm 0.03 | arxiv_extracted | ["a", "t", "M", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.11160v1 | cross_domain_amplification | |
M | H | urn:hailstone:astronomy:structural_equation[588966ae6fc4] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.11160v1.eq_956 | [M/H] = -0.57 | arxiv_extracted | ["M", "H"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.11160v1 | cross_domain_amplification | |
r | m | urn:hailstone:astronomy:structural_equation[292cd8f4fc90] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.10735v1.eq_957 | Ω_{\rm m} = 0.30711 | arxiv_extracted | ["m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.10735v1 | cross_domain_amplification | |
r | m | urn:hailstone:astronomy:structural_equation[b79b92545965] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.10735v1.eq_958 | Ω_{\rm m} = 0.307 \pm 0.003 | arxiv_extracted | ["p", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.10735v1 | cross_domain_amplification | |
r | m | urn:hailstone:astronomy:structural_equation[1627055db2f9] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.10735v1.eq_959 | Ω_{\rm m} = 0.308 \pm 0.003 | arxiv_extracted | ["p", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.10735v1 | cross_domain_amplification | |
z_{s | r | urn:hailstone:astronomy:structural_equation[c24bf5c7cba6] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.10636v1.eq_960 | z_{s,\mathrm{max}}=3 | arxiv_extracted | ["a", "t", "z_{s", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.10636v1 | cross_domain_amplification | |
z_{s | r | urn:hailstone:astronomy:structural_equation[a6ab492de7af] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.10636v1.eq_961 | z_{s,\mathrm{min}}=0.4 | arxiv_extracted | ["a", "t", "z_{s", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.10636v1 | cross_domain_amplification | |
r | S | urn:hailstone:astronomy:structural_equation[1a8df9f54745] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.10176v1.eq_962 | \rm REX=SFR_{1.4GHz}/SFR^{corr}_{SED} | arxiv_extracted | ["m", "S", "X", "r", "R", "E"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.10176v1 | cross_domain_amplification | |
l | e | urn:hailstone:astronomy:structural_equation[51b2506c0b6a] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.10113v1.eq_963 | σ(\langle z\rangle)=0.005 | arxiv_extracted | ["e", "g", "a", "n", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.10113v1 | cross_domain_amplification | |
M_ν | V | urn:hailstone:astronomy:structural_equation[3645ba0075ea] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.09278v1.eq_964 | σ(M_ν)=0.096\,{\rm eV} | arxiv_extracted | ["e", "V", "M_\u03bd", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.09278v1 | cross_domain_amplification | |
M_ν | V | urn:hailstone:astronomy:structural_equation[88738ea82051] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.09278v1.eq_965 | σ(M_ν)=0.340\,{\rm eV} | arxiv_extracted | ["e", "V", "M_\u03bd", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.09278v1 | cross_domain_amplification | |
l | h | urn:hailstone:astronomy:structural_equation[7e1c6816691e] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.08785v1.eq_966 | - 2 Δln\mathcal{L} = -150 | arxiv_extracted | ["a", "t", "m", "h", "n", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.08785v1 | cross_domain_amplification | |
l | t | urn:hailstone:astronomy:structural_equation[1226988f47b6] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.08785v1.eq_967 | ln\textrm{BF} = 71 | arxiv_extracted | ["e", "t", "n", "l", "x"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.08785v1 | cross_domain_amplification | |
M_b | n | urn:hailstone:astronomy:structural_equation[736ed8c39653] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.06479v1.eq_968 | M_b/M_{200} = f_b \tanh(M_b/M_0)^{1/4} | arxiv_extracted | ["a", "M_b", "t", "f_b", "M_{200}", "n"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.06479v1 | cross_domain_amplification | |
l | n | urn:hailstone:astronomy:structural_equation[a6a185e3317c] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.06463v1.eq_969 | \log_{10}(\langle M_{h} \rangle/{M_\odot})=13.44^{+0.08}_{-0.08} | arxiv_extracted | ["a", "o", "n", "l", "g_{10}"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.06463v1 | cross_domain_amplification | |
M | r | urn:hailstone:astronomy:structural_equation[1f8140b82c24] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.05930v1.eq_970 | M_{\rm{vir}}=10^{11} M_\odot | arxiv_extracted | ["M", "m", "i", "r", "v"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.05930v1 | cross_domain_amplification | |
l | r | urn:hailstone:astronomy:structural_equation[6b1e6b69fe4a] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.05472v1.eq_971 | {\ln B = -0.57{\scriptstyle\pm0.26}} | arxiv_extracted | ["B", "r", "s", "n", "c", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.05472v1 | cross_domain_amplification | |
l | r | urn:hailstone:astronomy:structural_equation[6000ce07d1cb] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.05472v1.eq_972 | {\ln B = -0.01{\scriptstyle\pm0.27}} | arxiv_extracted | ["B", "r", "s", "n", "c", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.05472v1 | cross_domain_amplification | |
l | r | urn:hailstone:astronomy:structural_equation[250d13f3a881] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.05472v1.eq_973 | {\ln B = +3.32{\scriptstyle\pm0.27}} | arxiv_extracted | ["B", "r", "s", "n", "c", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.05472v1 | cross_domain_amplification | |
t | p | urn:hailstone:astronomy:structural_equation[9db94eefed19] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.04872v1.eq_974 | t_{\rm GC}=13.61\pm0.25\,\mathrm{(stat)}\,\pm0.23 \mathrm{(sys)}\,\mathrm{Gyr} | arxiv_extracted | ["t", "m", "G", "p", "r", "C"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.04872v1 | cross_domain_amplification | |
t | m | urn:hailstone:astronomy:structural_equation[c9a5ac4c17e4] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.04872v1.eq_975 | t_{\rm U}=13.81\pm0.25\,\mathrm{(stat)}\,\pm0.23 \mathrm{(sys)}\,\mathrm{Gyr} | arxiv_extracted | ["t", "m", "p", "r", "U"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.04872v1 | cross_domain_amplification | |
z | r | urn:hailstone:astronomy:structural_equation[30a91d5bfed3] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.04281v1.eq_976 | z_\mathrm{eff}=2.35 | arxiv_extracted | ["z", "a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.04281v1 | cross_domain_amplification | |
H | h | urn:hailstone:astronomy:structural_equation[c0534843108b] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.04281v1.eq_977 | H(z_\mathrm{eff})=(238.7\pm3.4)~(147.09~\mathrm{Mpc}/r_d) ~\mathrm{km~s}^{-1}~\text{Mpc}^{-1} | arxiv_extracted | ["z", "a", "t", "m", "H", "h"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.04281v1 | cross_domain_amplification | |
D_M | h | urn:hailstone:astronomy:structural_equation[1482fa18dad8] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.04281v1.eq_978 | D_M(z_\mathrm{eff})=(5.79 \pm 0.10)~(r_d/147.09~\mathrm{Mpc}) | arxiv_extracted | ["z", "a", "t", "m", "h", "D_M"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.04281v1 | cross_domain_amplification | |
N | r | urn:hailstone:astronomy:structural_equation[9c0518238112] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.03443v2.eq_979 | |ΔN_\mathrm{eff}| = 0.3 | arxiv_extracted | ["a", "t", "m", "h", "r", "N"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.03443v2 | cross_domain_amplification | |
H_0 | t | urn:hailstone:astronomy:structural_equation[17edc4214daa] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.02828v1.eq_980 | (H_0 = 67.4\pm0.5\ \mathrm{km,s^{-1},Mpc^{-1}}) | arxiv_extracted | ["a", "t", "m", "p", "H_0"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.02828v1 | cross_domain_amplification | |
d | m | urn:hailstone:astronomy:structural_equation[f6ec6ad33c95] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.02318v1.eq_981 | \dot{v} = -3.5 \pm 3.6 ~{\rm m s^{-1} yr^{-1}} | arxiv_extracted | ["t", "m", "o", "p", "d", "v"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.02318v1 | cross_domain_amplification | |
d | m | urn:hailstone:astronomy:structural_equation[c2d1d1d3ab81] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.02318v1.eq_982 | \dot{z} = (-5.3\pm5.6)\times 10^{-8}~{\rm yr^{-1}} | arxiv_extracted | ["z", "t", "m", "o", "p", "d"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.02318v1 | cross_domain_amplification | |
u | l | urn:hailstone:astronomy:structural_equation[a42ae1bcd037] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.02177v1.eq_983 | \underline{P}=Q+iU | arxiv_extracted | ["e", "u", "r", "n", "d", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.02177v1 | cross_domain_amplification | |
u | l | urn:hailstone:astronomy:structural_equation[64f4d241f54d] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.02177v1.eq_984 | \underline{S}=E+iB | arxiv_extracted | ["e", "u", "r", "n", "d", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.02177v1 | cross_domain_amplification | |
u | l | urn:hailstone:astronomy:structural_equation[b58ba3b9b0fb] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.02177v1.eq_985 | \underline{P}=\underline{P}_E+\underline{P}_B | arxiv_extracted | ["e", "u", "r", "n", "d", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.02177v1 | cross_domain_amplification | |
a | D | urn:hailstone:astronomy:structural_equation[60ad3c6cca05] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.02110v1.eq_986 | Γ_{ab}=Γ^{\rm HD}_{ab}+\sum_i ε_i\,Γ^{\rm LSS(i)}_{ab} | arxiv_extracted | ["D", "a", "m", "H", "r", "b"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.02110v1 | cross_domain_amplification | |
m | a | urn:hailstone:astronomy:structural_equation[fb527958e300] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.02110v1.eq_987 | \mathcal{B}_{{\rm HD+LSS}_1,{\rm HD}}=0.40 | arxiv_extracted | ["a", "t", "m", "h", "c"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.02110v1 | cross_domain_amplification | |
m | a | urn:hailstone:astronomy:structural_equation[fe6f11801a6c] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.02110v1.eq_988 | \mathcal{B}_{{\rm HD+LSS}_2,{\rm HD}}=0.43 | arxiv_extracted | ["a", "t", "m", "h", "c"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.02110v1 | cross_domain_amplification | |
m | a | urn:hailstone:astronomy:structural_equation[da9e3b5d667a] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2603.02110v1.eq_989 | \mathcal{B}_{{\rm HD+LSS}_{1+2},{\rm HD}}=0.11 | arxiv_extracted | ["a", "t", "m", "h", "c"] | arxiv | arxiv | arxiv:astro-ph.CO:2603.02110v1 | cross_domain_amplification | |
m | r | urn:hailstone:astronomy:structural_equation[310921ccafa4] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.22990v1.eq_990 | m_\mathrm{a} = 10^{-25}\,\mathrm{eV} | arxiv_extracted | ["a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.22990v1 | cross_domain_amplification | |
m | a | urn:hailstone:astronomy:structural_equation[dcdca5a8b010] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.21821v1.eq_991 | \mathcal{M}=1.3-1.6 | arxiv_extracted | ["a", "t", "m", "h", "c"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.21821v1 | cross_domain_amplification | |
r | r | urn:hailstone:astronomy:structural_equation[e59864b5e888] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.21169v2.eq_992 | ρ_{\rm DE}+p_{\rm DE}=0 | arxiv_extracted | ["D", "m", "p", "r", "E"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.21169v2 | cross_domain_amplification | |
M | t | urn:hailstone:astronomy:structural_equation[d7e894076b6b] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.20889v1.eq_993 | M_{\star} = 4.4^{+0.25}_{-0.39}\times 10^{11}\,M_{\odot} | arxiv_extracted | ["a", "t", "M", "r", "s"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.20889v1 | cross_domain_amplification | |
r | m | urn:hailstone:astronomy:structural_equation[c6d1c21971d9] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.20889v1.eq_994 | γ_{\rm in}^{\rm halo} = 1.04^{+0.10}_{-0.14} | arxiv_extracted | ["n", "m", "r", "i"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.20889v1 | cross_domain_amplification | |
M_{200} | l | urn:hailstone:astronomy:structural_equation[f22bfc5d5d43] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.20889v1.eq_995 | M_{200}^{\rm halo} = 1.11^{+0.37}_{-0.32}\times 10^{13}\,M_{\odot} | arxiv_extracted | ["a", "m", "h", "r", "M_{200}", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.20889v1 | cross_domain_amplification | |
l | s | urn:hailstone:astronomy:structural_equation[e893950c4e8a] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.20889v1.eq_996 | \log_{10}(M_{200}/M_{\star})=1.41^{+0.13}_{-0.14} | arxiv_extracted | ["M", "o", "M_{200}", "s", "l", "g_{10}"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.20889v1 | cross_domain_amplification | |
r | m | urn:hailstone:astronomy:structural_equation[babd276ff53d] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.20483v2.eq_997 | Ω_{\rm m}=0.30^{+0.03}_{-0.02} | arxiv_extracted | ["m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.20483v2 | cross_domain_amplification | |
G_{eff} | s_0 | urn:hailstone:astronomy:structural_equation[c86fd9c83411] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.20430v2.eq_998 | G_{eff} = 1/(4s_0) | arxiv_extracted | ["G_{eff}", "s_0"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.20430v2 | cross_domain_amplification | |
S | G | urn:hailstone:astronomy:structural_equation[ad0e9dbbb5e5] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.20430v2.eq_999 | S(A) = η(A/4G)^δ | arxiv_extracted | ["A", "S", "G"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.20430v2 | cross_domain_amplification | |
r | p | urn:hailstone:astronomy:structural_equation[85fb36a6b5f5] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.19638v1.eq_1000 | α_{\rm nth} = -0.678\pm0.085 | arxiv_extracted | ["t", "m", "h", "p", "r", "n"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.19638v1 | cross_domain_amplification | |
r | m | urn:hailstone:astronomy:structural_equation[0c5e83634f23] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.19638v1.eq_1001 | ν_{\rm b} = 6.2\pm1.3 | arxiv_extracted | ["p", "b", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.19638v1 | cross_domain_amplification | |
r | D | urn:hailstone:astronomy:structural_equation[186329b4fb28] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.19451v1.eq_1002 | σ_{\rm NMAD}=0.0008 | arxiv_extracted | ["D", "M", "m", "A", "r", "N"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.19451v1 | cross_domain_amplification | |
r | D | urn:hailstone:astronomy:structural_equation[26f5d023e5b4] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.19451v1.eq_1003 | σ_{\rm NMAD}=0.0015 | arxiv_extracted | ["D", "M", "m", "A", "r", "N"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.19451v1 | cross_domain_amplification | |
M_{Pl} | s | urn:hailstone:astronomy:structural_equation[3f96f276b41b] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.19075v1.eq_1004 | M_{Pl}=2.435 \times 10^{18} | arxiv_extracted | ["e", "M_{Pl}", "t", "m", "i", "s"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.19075v1 | cross_domain_amplification | |
M | M_{Pl} | urn:hailstone:astronomy:structural_equation[2ac25d01b566] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.19075v1.eq_1005 | M_{\ast}=M_{Pl} | arxiv_extracted | ["M_{Pl}", "a", "t", "M", "s"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.19075v1 | cross_domain_amplification | |
f | n | urn:hailstone:astronomy:structural_equation[c26a991aabac] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.18859v1.eq_1006 | f(R,T) = R + αT^n | arxiv_extracted | ["f", "n", "T", "R"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.18859v1 | cross_domain_amplification | |
k | l | urn:hailstone:astronomy:structural_equation[5673229c9499] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.17304v1.eq_1007 | k_{\parallel} \ge [k_\parallel]_f=0.135~{\rm Mpc}^{-1} | arxiv_extracted | ["k", "a", "p", "r", "l"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.17304v1 | cross_domain_amplification | |
r | i | urn:hailstone:astronomy:structural_equation[dacece5fa3be] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.17304v1.eq_1008 | Δ^3_{\rm LL}=-(1.25\times 10^4)^3~{\rm mK}^3 | arxiv_extracted | ["t", "m", "i", "L", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.17304v1 | cross_domain_amplification | |
r | i | urn:hailstone:astronomy:structural_equation[d73ea402efce] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.17304v1.eq_1009 | Δ^3_{\rm UL}=(1.22\times 10^4)^3~{\rm mK}^3 | arxiv_extracted | ["t", "m", "i", "L", "r", "U"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.17304v1 | cross_domain_amplification | |
m | m | urn:hailstone:astronomy:structural_equation[d131b6adb996] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.16869v1.eq_1010 | \mathrm{DM}_{\rm host}=128.8\pm 34.1\,\mathrm{pc\,cm^{-3}} | arxiv_extracted | ["a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.16869v1 | cross_domain_amplification | |
d | t | urn:hailstone:astronomy:structural_equation[e960c8a3da7b] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.16237v2.eq_1011 | θ_{d}=42\pm 3~μ\mathrm{as} | arxiv_extracted | ["a", "t", "m", "p", "d"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.16237v2 | cross_domain_amplification | |
D | r | urn:hailstone:astronomy:structural_equation[9e2222dcbb23] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.16134v1.eq_1012 | D_{\rm V}(z = 0.68)/r_{\rm d} = 15.88 \pm 0.27 | arxiv_extracted | ["V", "D", "z", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.16134v1 | cross_domain_amplification | |
D | r | urn:hailstone:astronomy:structural_equation[c15d88122635] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.16134v1.eq_1013 | D_{\rm V}(z = 0.68)/r_{\rm d} = 15.72 \pm 0.18 | arxiv_extracted | ["V", "D", "z", "m", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.16134v1 | cross_domain_amplification | |
M | t | urn:hailstone:astronomy:structural_equation[71bb15ef7150] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.15935v2.eq_1014 | M_\odot)=5.3 | arxiv_extracted | ["t", "M", "d", "o"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.15935v2 | cross_domain_amplification | |
f | T | urn:hailstone:astronomy:structural_equation[3ad7ab0c9e53] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.15448v2.eq_1015 | f(R,T) = R + F(T) | arxiv_extracted | ["f", "T", "R", "F"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.15448v2 | cross_domain_amplification | |
t | r | urn:hailstone:astronomy:structural_equation[4d662362dca8] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.14882v1.eq_1016 | t_\mathrm{cool}=280^{+150}_{-120} | arxiv_extracted | ["a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.14882v1 | cross_domain_amplification | |
Z | t | urn:hailstone:astronomy:structural_equation[cdcec20c9e2c] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.14882v1.eq_1017 | Z/Z_\odot = 0.43^{+0.46}_{-0.25} | arxiv_extracted | ["t", "d", "Z", "o"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.14882v1 | cross_domain_amplification | |
m | m | urn:hailstone:astronomy:structural_equation[21e16116b5fa] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.14052v1.eq_1018 | α_\mathrm{21cm}^\mathrm{fid}=0 | arxiv_extracted | ["a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.14052v1 | cross_domain_amplification | |
m | m | urn:hailstone:astronomy:structural_equation[ecddd246d6b3] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.13902v1.eq_1019 | \mathrm{F1}=0.66 | arxiv_extracted | ["a", "t", "m", "h", "r"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.13902v1 | cross_domain_amplification | |
d | z | urn:hailstone:astronomy:structural_equation[93cebd416c7f] | 1 | structural_equation | 10 | arxiv.astro-ph.CO.2602.12822v1.eq_1020 | dμ/dz = 0.2 | arxiv_extracted | ["d", "z"] | arxiv | arxiv | arxiv:astro-ph.CO:2602.12822v1 | cross_domain_amplification |
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