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{
"category": "complex",
"height": 396,
"id": "00000010__da7132dcc1",
"lines": 3,
"tex": "\\begin{eqnarray}H_s^{(1)}&=&-g\\mu_{B}h_{s}\\sum_{i=1}^{2L}\\left(S_{2i-1}^{z}-S_{2i}^{z}\\right),\\\\ M_{s}^{(1)}&=&\\frac{g\\mu_{B}}{4L}\\sum_{i=1}^{2L}\\langle S_{2i-1}^{z}-S_{2i}^{z}\\rangle,\\\\ \\chi_{s}^{(1)}&=&\\frac{\\partial M_{s}^{(1)}}{\\partial h_{s}}.\\end{eqnarray}",
"tokens": 114,
"width": 562
}
|
00000010__da7132dcc1
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 55,
"id": "00000013__28a39ea5e9",
"lines": 2,
"tex": "\\begin{eqnarray}Z^{PI}_h=\\,\\oint Du(\\tau)exp\\Biggl[-\\int_0^{\\beta}d\\tau\\Bigl[{M\\over2}\\bigl(\\dot{u}^2(\\tau)+\\omega^2u^2(\\tau)\\bigr)\\Bigr]\\Biggr]\\,\\\\ \\end{eqnarray}",
"tokens": 59,
"width": 274
}
|
00000013__28a39ea5e9
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 87,
"id": "00000013__67c7920c59",
"lines": 1,
"tex": "\\begin{equation}F_{ts}(x,y,z)=F_{lr}(z)+F_{sr}(x,y,z).\\end{equation}",
"tokens": 28,
"width": 504
}
|
00000013__67c7920c59
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 83,
"id": "00000015__265cc8a422",
"lines": 1,
"tex": "\\begin{eqnarray}\\rho(x)&=&\\frac{1}{2}\\,\\int_{\\mbox{I}}dy\\,g(x-f(y))\\,.\\end{eqnarray}",
"tokens": 31,
"width": 265
}
|
00000015__265cc8a422
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 33,
"id": "00000015__8fa1a483c4",
"lines": 1,
"tex": "\\begin{equation}\\dot{\\vec{B}}-\\vec{\\nabla}\\times(\\vec{v}\\times\\vec{B})-{\\lambda}\\nabla^{2}\\vec{B}=-\\tfrac{2}{3}{\\lambda}\\Theta\\dot{\\vec{B}}-{\\lambda}\\vec{B}\\cdot\\Bar{\\Bar{\\mathsf{R}}}-\\left(1+\\tfrac{2}{3}{\\lambda}\\Theta\\right)\\tfrac{2}{3}\\Theta\\vec{B}+\\lambda\\vec{\\Xi},\\end{equation}",
"tokens": 95,
"width": 324
}
|
00000015__8fa1a483c4
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 149,
"id": "00000016__696b14f386",
"lines": 3,
"tex": "\\begin{equation}\\begin{array}{rcl}\\mathrm{RL}&\\propto&a_0^2G_xG_y\\sin2\\varphi\\cos\\Delta\\epsilon_{xy}\\\\ \\mathrm{LR}&\\propto&a_0^2\\left(G_x^2-G_y^2+\\left(G_x^2+G_y^2\\right)\\cos2\\varphi\\right).\\\\ \\end{array}\\end{equation}",
"tokens": 81,
"width": 782
}
|
00000016__696b14f386
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 94,
"id": "00000019__9f908fe0c3",
"lines": 1,
"tex": "\\begin{equation}H\\to-\\sigma_3H\\sigma_3\\end{equation}",
"tokens": 12,
"width": 273
}
|
00000019__9f908fe0c3
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 363,
"id": "00000022__ae667d9604",
"lines": 2,
"tex": "\\begin{eqnarray}p_1(x,t)=-{(\\gamma+1)\\over2\\gamma}\\,{(1+3x^4)\\over x^4}\\int_t^x{t^2J(t)dt\\over(1+t^2)^2}-{1\\over(1+x^2)^2}\\\\ =-{(\\gamma+1)\\over8\\gamma}\\,{(1+3x^4)\\over x^4}[G(x)-G(t)]-{1\\over(1+x^2)^2}\\,,\\end{eqnarray}",
"tokens": 115,
"width": 1243
}
|
00000022__ae667d9604
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 145,
"id": "00000024__b31f6a40f6",
"lines": 2,
"tex": "\\begin{align}L&=\\int d^2r\\left\\{\\frac{\\chi_\\perp}{2}({\\partial_t{\\vec n}})^2-E({\\vec n})\\right\\}\\\\ &\\to\\int d^2r\\left\\{\\frac{\\chi_\\perp}{2}{\\dot{\\alpha}}^2-\\frac{\\rho_s}{2}\\left(M_a^2n_a^2+M_c^2n_c^2\\right)\\right\\}\\ .\\end{align}",
"tokens": 96,
"width": 533
}
|
00000024__b31f6a40f6
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 152,
"id": "00000028__a764fe63ae",
"lines": 2,
"tex": "\\begin{equation}\\frac{\\hbar}{\\tau_e}\\propto\\left\\{\\begin{array}{l}\\left(\\frac{\\xi_p}{E_F}\\right)^2~~~~~~k_BT\\ll\\xi_p\\ll E_F\\\\ \\left(\\frac{k_BT}{E_F}\\right)^2~~~~\\xi_p\\ll k_BT\\ll E_F~,\\end{array}~~~~~~~~~~~~~(3D)\\right.\\end{equation}",
"tokens": 82,
"width": 637
}
|
00000028__a764fe63ae
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 198,
"id": "00000029__5830edf5cb",
"lines": 3,
"tex": "\\begin{equation}{\\bf S}=\\left(\\begin{array}{ccc}{\\bf S}_{\\rm L}&{\\bf S}_{\\rm LD}&{\\bf0}\\\\ {\\bf S}_{\\rm DL}&{\\bf S}_{\\rm D}&{\\bf S}_{\\rm DR}\\\\ {\\bf0}&{\\bf S}_{\\rm RD}&{\\bf S}_{\\rm R}\\end{array}\\right).\\end{equation}",
"tokens": 68,
"width": 488
}
|
00000029__5830edf5cb
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 117,
"id": "00000031__06afb73dae",
"lines": 3,
"tex": "\\begin{eqnarray}r&=&\\int^{\\tau(P)}_{\\tau(\\bar{Q})}\\sqrt{{\\delta_{ij}\\xi^i\\xi^j}}\\,\\mathrm{d}\\tau+O(1/c^2)\\\\ &=&\\sqrt{\\delta_{ij}[x^i(\\sigma(t))-x^i(\\tilde\\sigma(t'))][x^j(\\sigma(t))-x^j(\\tilde\\sigma(t'))]}+O(1/c^2)\\\\ &\\equiv&|\\ensuremath{\\mbox{\\boldmath$\\Delta x$\\unboldmath}}(t')|+O(1/c^2).\\end{eqnarray}",
"tokens": 122,
"width": 390
}
|
00000031__06afb73dae
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 309,
"id": "00000036__f17e99feda",
"lines": 2,
"tex": "\\begin{eqnarray}r_{\\nu}^{2}&=&\\left(r\\cos\\phi_{\\nu}+z\\tan\\theta_{\\nu}\\right)^{2}+r^{2}\\sin^{2}\\phi_{\\nu}\\\\ r_{\\bar{\\nu}}^{2}&=&\\left(r\\cos\\phi_{\\bar{\\nu}}+z\\tan\\theta_{\\bar{\\nu}}\\right)^{2}+r^{2}\\sin^{2}\\phi_{\\bar{\\nu}}.\\end{eqnarray}",
"tokens": 83,
"width": 924
}
|
00000036__f17e99feda
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 132,
"id": "00000036__fa15315e89",
"lines": 2,
"tex": "\\begin{eqnarray}S_{\\rm ph}\\{\\phi\\}&=&\\frac{1}{2}\\beta L\\sum_{q,\\omega_m}\\frac{1}{|g_q|^2}\\,\\phi_{q,\\omega_m}^{\\ast}\\left[\\frac{\\omega_m^2+\\omega_q^2}{\\omega_q}\\right]\\phi_{q,\\omega_m}\\;,\\\\ S_{\\rm int}\\{\\psi^{\\ast},\\psi;\\phi\\}&=&\\beta\\sum_{q,\\omega_m}\\left(\\sum_{k,\\tilde\\omega_n}\\psi_{k+q,\\tilde\\omega_n+\\omega_m}^{\\ast}\\psi_{k,\\tilde\\omega_n}\\right)\\phi_{q,\\omega_m}\\;.\\end{eqnarray}",
"tokens": 154,
"width": 413
}
|
00000036__fa15315e89
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 57,
"id": "00000037__094cdf33f0",
"lines": 1,
"tex": "\\[-\\frac{1}{1+\\frac{B_{z}}{B_{\\lambda}}}\\frac{d^{2}\\phi_{n}}{dy^{2}}+\\sin\\left(\\phi_{n}-\\phi_{n+1}\\right)+\\sin\\left(\\phi_{n}-\\phi_{n-1}\\right)=0,\\]",
"tokens": 65,
"width": 339
}
|
00000037__094cdf33f0
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 350,
"id": "00000037__aed7f7305d",
"lines": 5,
"tex": "\\begin{eqnarray}\\mathcal{H}=\\left[\\begin{array}{cccc}0&0&0&0\\\\ 0&0&\\Omega_1&0\\\\ 0&\\Omega_1&0&\\Omega_2\\\\ 0&0&\\Omega_2&0\\\\ \\end{array}\\right]\\end{eqnarray}",
"tokens": 56,
"width": 718
}
|
00000037__aed7f7305d
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 221,
"id": "00000037__efd087b8e5",
"lines": 5,
"tex": "\\begin{eqnarray}\\left\\{\\begin{array}{ll}{\\cal G}(y)&=-n\\alpha\\beta y+\\displaystyle\\frac{1}{N}\\log(1-e^{-{\\cal F}(y)}),\\\\\\\\ {\\cal F}(y)&=\\displaystyle\\int_0^1e^{N{\\cal H}(x,y)}dx,\\\\\\\\ {\\cal H}(x,y)&=(1-\\alpha)\\log2+\\alpha H(x)+\\displaystyle\\frac{1}{N}\\log(1-e^{-e^{N\\alpha\\beta(y-x)}}),\\end{array}\\right.\\end{eqnarray}",
"tokens": 112,
"width": 575
}
|
00000037__efd087b8e5
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 101,
"id": "00000038__33d1527e6a",
"lines": 1,
"tex": "\\begin{equation}{\\cal H}=U\\sum_{i,j}\\hat{n}_i\\hat{n}_j-t\\sum_i(\\hat{a}_i^{\\dagger}\\hat{a}_{i+1}+\\hat{a}_i\\hat{a}_{i+1}^{\\dagger})-\\sum_i(h+\\delta h_i)\\hat{n}_i,\\end{equation}",
"tokens": 77,
"width": 662
}
|
00000038__33d1527e6a
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 155,
"id": "00000039__bdd883c585",
"lines": 2,
"tex": "\\begin{eqnarray}&&\\frac{F_{int}}{kT}=\\phi P\\Delta\\epsilon+\\phi(1-\\phi)[P\\chi_{AS}+(1-P)\\chi_{BS}]+\\\\ &&\\phi^2\\chi_{AB}P(1-P)+\\phi\\lbrack P\\ln P+(1-P)\\ln(1-P)]\\end{eqnarray}",
"tokens": 66,
"width": 611
}
|
00000039__bdd883c585
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 123,
"id": "00000040__6eec351470",
"lines": 2,
"tex": "\\begin{align}H(c)&=\\sum_{\\mathbf{k}}\\varepsilon(\\mathbf{k})(c_{\\mathbf{k}\\uparrow}^{\\dag}c_{\\mathbf{k}\\uparrow}+c_{-\\mathbf{k}\\downarrow}^{\\dag}c_{-\\mathbf{k}\\downarrow})\\\\ &-g\\sum_{\\mathbf{k},\\mathbf{k}^{\\prime}}c_{\\mathbf{k}^{\\prime}\\uparrow}^{\\dag}c_{-\\mathbf{k}^{\\prime}\\downarrow}^{\\dag}c_{-\\mathbf{k}\\downarrow}c_{\\mathbf{k}\\uparrow},\\end{align}",
"tokens": 109,
"width": 426
}
|
00000040__6eec351470
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 92,
"id": "00000044__ee02c6a141",
"lines": 1,
"tex": "\\begin{equation}h_{rms}\\sim L\\;,\\end{equation}",
"tokens": 10,
"width": 208
}
|
00000044__ee02c6a141
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 83,
"id": "00000045__a3a950962e",
"lines": 1,
"tex": "\\begin{equation}y^+_{wm}=\\frac{\\sum_i^k{y^+_i/\\sigma^2(y^+_i)}}{\\sum_i^k{1/\\sigma^2(y^+_i)}}.\\end{equation}",
"tokens": 42,
"width": 199
}
|
00000045__a3a950962e
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 98,
"id": "00000045__aa10280576",
"lines": 3,
"tex": "\\begin{eqnarray}&&\\Sigma_k(\\varepsilon)=-g\\sum_{k',\\varepsilon'}D_{k-k'}(\\varepsilon-\\varepsilon')G_{k'}(\\varepsilon')\\Lambda^{(1)}_{k,k'}(\\varepsilon,\\varepsilon')\\\\ &&=g\\sum_{k',\\varepsilon'}\\frac{D_{k-k'}(\\varepsilon-\\varepsilon')G_{k'}(\\varepsilon')G^{-1}_k(\\varepsilon)}{i(\\varepsilon'-\\varepsilon)-(\\mbox{\\boldmath$k$}'-\\mbox{\\boldmath$k$})\\cdot\\mbox{\\boldmath$v$}_{(k+k')/2}}+gC,\\\\ &&C=-\\sum_{k'\\varepsilon'}\\frac{D_{k-k'}(\\varepsilon-\\varepsilon')}{i(\\varepsilon'-\\varepsilon)-(\\mbox{\\boldmath$k$}'-\\mbox{\\boldmath$k$})\\cdot\\mbox{\\boldmath$v$}_{(k+k')/2}},\\end{eqnarray}",
"tokens": 170,
"width": 191
}
|
00000045__aa10280576
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 66,
"id": "00000045__c7087bf1bf",
"lines": 1,
"tex": "\\begin{equation}J(\\tilde{x})=\\frac{3\\alpha}{4F}\\cdot\\frac{d^2F^2}{d\\tilde{x}^2}\\;.\\end{equation}",
"tokens": 35,
"width": 184
}
|
00000045__c7087bf1bf
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 299,
"id": "00000049__6fbdab285d",
"lines": 2,
"tex": "\\begin{eqnarray}&&A_{d,inc}^{F}({\\bf k},\\omega<0)\\\\ &=&\\frac{1}{N}\\sum_{\\tilde{\\varepsilon}_{{\\bf q}+{\\bf k}}<0}n^{F}_{{\\bf q}+{\\bf k}\\uparrow}|p_{{\\bf k},{\\bf q}}(\\infty)|^{2}\\delta\\left[\\omega+\\left(\\tilde{E}_{\\bf q}+|\\tilde{\\varepsilon}_{{\\bf q}+{\\bf k}}|\\right)\\right].\\end{eqnarray}",
"tokens": 92,
"width": 975
}
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00000049__6fbdab285d
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 212,
"id": "00000053__a0cf7baf50",
"lines": 2,
"tex": "\\begin{eqnarray}1/T_{1}T&=&-\\sum_{\\mbox{\\boldmath$k$},\\mbox{\\boldmath$q$}}\\int\\frac{{\\rm d}\\omega}{\\pi}f'(\\omega){\\rm Im}{\\mit{\\it G}}^{{\\rm R}}(\\mbox{\\boldmath$k$},\\omega){\\rm Im}{\\mit{\\it G}}^{{\\rm R}}(\\mbox{\\boldmath$k+q$},\\omega)\\\\ &=&-\\pi\\int{\\rm d}\\omega f'(\\omega)\\rho(\\omega)^{2}.\\end{eqnarray}",
"tokens": 97,
"width": 675
}
|
00000053__a0cf7baf50
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 112,
"id": "00000054__ad3dd0dd04",
"lines": 2,
"tex": "\\begin{align*}U_{11}&\\equiv C_{11}(\\mathbf{k})k_{\\perp}^{2}\\approx\\frac{B_{z}^{2}}{4\\pi\\lambda^{2}}\\left(1-\\frac{k_{\\perp}^{2}}{16\\pi n_{v}}\\right),\\\\ C_{66}&=n_{v}\\epsilon_{0}/4\\end{align*}",
"tokens": 70,
"width": 478
}
|
00000054__ad3dd0dd04
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 68,
"id": "00000055__d5909d1e94",
"lines": 2,
"tex": "\\begin{eqnarray}\\epsilon_2\\epsilon_3&\\simeq&2c^2\\left[-\\frac{s}{c}+3c\\left(\\kappa\\phi_0\\right)^2{\\mathrm{e}}^{-s/c}-3\\frac{s^3}{c^2}\\left(\\kappa\\phi_0\\right)^2{\\mathrm{e}}^{-2s/c}\\right.\\\\ &+&\\left.2\\frac{s^4}{c^2}\\left(\\kappa\\phi_0\\right)^4{\\mathrm{e}}^{-4s/c}\\right],\\end{eqnarray}",
"tokens": 111,
"width": 229
}
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00000055__d5909d1e94
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 371,
"id": "00000059__59b8281bca",
"lines": 3,
"tex": "\\begin{eqnarray}&&\\psi_{\\beta\\ell m}(\\alpha,\\theta,\\phi)\\\\ &=&\\sum_{sr}N_{\\beta\\ell}\\langle\\ell=0m=0|sl=-srsr\\rangle e^{i\\alpha sr}\\langle sl=-srsr|\\ell m'=0\\rangle Y_{\\ell m}(\\theta,\\phi)\\\\ &=&R_{\\beta\\ell}(\\alpha)Y_{\\ell m}(\\theta,\\phi)\\end{eqnarray}",
"tokens": 85,
"width": 1582
}
|
00000059__59b8281bca
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 120,
"id": "00000060__9d1295f014",
"lines": 2,
"tex": "\\begin{eqnarray*}d_a(t)=D_a(t){\\rm sin}{\\varphi}/(1-[D_a(t)/(ct)]{\\rm cos}\\varphi);\\\\ d_r(t)=D_r(t){\\rm sin}{\\varphi}/(1+[D_r(t)/(ct)]{\\rm cos}\\varphi).\\end{eqnarray*}",
"tokens": 67,
"width": 462
}
|
00000060__9d1295f014
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 75,
"id": "00000061__5b5f20dd0a",
"lines": 1,
"tex": "\\begin{equation}P_L(q)\\ \\propto\\ \\exp\\left[-N\\,f(q)\\right]\\ ,\\end{equation}",
"tokens": 24,
"width": 326
}
|
00000061__5b5f20dd0a
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 134,
"id": "00000065__639f359e44",
"lines": 1,
"tex": "\\begin{eqnarray}I_{20}&=&-i\\sum_{\\alpha\\gamma}U_{\\beta}U_{\\gamma}U_{\\alpha}^{2}G_{\\beta}^{\\tilde{c}}(\\omega_{1})G_{\\alpha}^{>}(\\omega_{2})G_{\\gamma}^{<}(\\omega)D^{<}(-\\omega_{2})D^{\\tilde{c}*}(-\\omega_{1});\\end{eqnarray}",
"tokens": 71,
"width": 891
}
|
00000065__639f359e44
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 356,
"id": "00000071__3dcd98b94e",
"lines": 2,
"tex": "\\begin{multline}\\left\\langle\\Psi_{\\rm el}({z_1})\\,\\Psi_{\\rm el}({z_2})\\,\\ldots\\,\\Psi_{\\rm el}({z_{2N}})e^{\\int{d^2}z\\rho\\,\\varphi(z)\\sqrt{2}}\\right\\rangle=\\\\ \\prod_{j<k}(z_j-z_k)^2\\prod_je^{-|z_j|^2/4}\\cdot{\\rm Pf}\\!\\left(\\frac{1}{z_j-z_k}\\right)~.\\end{multline}",
"tokens": 109,
"width": 1606
}
|
00000071__3dcd98b94e
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 560,
"id": "00000071__6c3867e246",
"lines": 4,
"tex": "\\begin{eqnarray}&&\\Big({1\\over N^*_{\\alpha\\nu}}\\Bigr)^{2[N^{0}_{\\alpha\\nu}+\\Delta N_{\\alpha\\nu}^F]}\\,\\prod_{j=1}^{N_{\\alpha\\nu}^*}\\,\\sin^2\\Big({N_{\\alpha\\nu}^{ph}(q_j)\\,[Q_{\\alpha\\nu}(q_j)-\\pi]+\\pi\\over2}\\Big)\\\\ &\\times&\\prod_{j=1}^{N_{\\alpha\\nu}^*}\\prod_{i=1}^{N_{\\alpha\\nu}^*}\\,\\theta(i-j)\\,\\sin^2\\Bigl({N_{\\alpha\\nu}^{-0}({q'}_j)N_{\\alpha\\nu}^{-0}({q'}_i)[{q'}_j-{q'}_i-\\pi]+\\pi\\over2}\\Bigr)\\\\ &\\times&\\prod_{j=1}^{N_{\\alpha\\nu}^*}\\prod_{i=1}^{N_{\\alpha\\nu}^*}\\,\\theta(i-j)\\,\\sin^2\\Bigl({N_{\\alpha\\nu}^{ph}({q}_j)N_{\\alpha\\nu}^{ph}({q}_i)[{\\bar{q}}_j-{\\bar{q}}_i-\\pi]+\\pi\\over2}\\Bigr)\\\\ &\\times&\\prod_{j=1}^{N_{\\alpha\\nu}^*}\\prod_{i=1}^{N_{\\alpha\\nu}^*}\\,{1\\over\\sin^{2}\\Bigl({N_{\\alpha\\nu}^{ph}({q}_i)N_{\\alpha\\nu}^{-0}({q'}_j)[{\\bar{q}}_i-{q'}_j-\\pi]+\\pi\\over2}\\Bigr)}\\,;\\alpha\\nu=c0,s1\\,,\\end{eqnarray}",
"tokens": 328,
"width": 866
}
|
00000071__6c3867e246
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 89,
"id": "00000072__7aef7ed094",
"lines": 2,
"tex": "\\begin{eqnarray}\\overline{\\left<\\Phi\\right|\\psi_{\\bf Q}^\\dagger\\psi_{\\bf Q}\\left|\\Phi\\right>}&=&\\sum_{i}\\frac{1+\\overline{\\eta_i}}{2}{\\tilde{\\phi}_0^x}|({\\bf Q})|^2+\\frac{1-\\overline{\\eta_i}}{2}|{\\tilde{\\phi}_0^y}({\\bf Q})|^2\\\\ &=&\\frac{M}{2}\\left({\\tilde{\\phi}_0^x}|({\\bf Q})|^2+|{\\tilde{\\phi}_0^y}({\\bf Q})|^2\\right)\\end{eqnarray}",
"tokens": 119,
"width": 293
}
|
00000072__7aef7ed094
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 281,
"id": "00000074__a657f0a8aa",
"lines": 3,
"tex": "\\begin{eqnarray}\\mbox{\\boldmath$R$}&=&\\sum_{a=0}^{l-1}\\mbox{\\boldmath$G$}^a\\biggl(\\sum_{m,n\\ge0}\\mbox{\\boldmath$G$}^{ml}(\\mbox{\\boldmath$G$}^\\dagger)^{nl}\\mbox{\\boldmath$C$}\\biggr)(\\mbox{\\boldmath$G$}^\\dagger)^a\\\\ &=&\\sum_{a=0}^{l-1}\\mbox{\\boldmath$G$}^a\\biggl([\\mbox{\\boldmath$1$}-\\mbox{\\boldmath$G$}^l]^{-1}[\\mbox{\\boldmath$1$}-(\\mbox{\\boldmath$G$}^\\dagger)^l]^{-1}\\mbox{\\boldmath$C$}\\biggr)(\\mbox{\\boldmath$G$}^\\dagger)^a\\\\ &=&[\\mbox{\\boldmath$1$}-\\mbox{\\boldmath$G$}\\mbox{\\boldmath$G$}^\\dagger]^{-1}[\\mbox{\\boldmath$1$}-(\\mbox{\\boldmath$G$}\\mbox{\\boldmath$G$}^\\dagger)^l][\\mbox{\\boldmath$1$}-\\mbox{\\boldmath$G$}^l]^{-1}[\\mbox{\\boldmath$1$}-(\\mbox{\\boldmath$G$}^\\dagger)^l]^{-1}\\mbox{\\boldmath$C$},\\end{eqnarray}",
"tokens": 232,
"width": 761
}
|
00000074__a657f0a8aa
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 315,
"id": "00000075__51caecd89f",
"lines": 5,
"tex": "\\begin{equation}\\left\\{\\begin{array}{l}\\displaystyle\\frac{D\\mathop{\\hbox{ln}}\\nolimits\\rho}{Dt}=-\\mathop{\\hbox{div}}\\nolimits\\vec{u},\\\\ \\\\ \\displaystyle\\frac{D\\vec{u}}{Dt}=-(\\gamma-1)\\left(\\vec{\\nabla}e+e\\vec{\\nabla}\\mathop{\\hbox{ln}}\\nolimits\\rho\\right)+\\vec{g}+\\frac{1}{\\rho}\\vec{\\nabla}\\cdot(2\\rho\\nu\\vec{\\cal S}),\\\\ \\\\ \\displaystyle\\frac{De}{Dt}=-(\\gamma-1)e\\mathop{\\hbox{div}}\\nolimits\\vec{u}+\\frac{1}{\\rho}\\vec{\\nabla}\\cdot({\\cal K}\\vec{\\nabla}e)+\\nu\\vec{\\cal S}^2-\\frac{e-e_0}{\\tau(z)},\\end{array}\\right.\\end{equation}",
"tokens": 170,
"width": 797
}
|
00000075__51caecd89f
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 395,
"id": "00000075__8da9f1a426",
"lines": 3,
"tex": "\\begin{align}\\widetilde{\\varepsilon}\\left(\\mathbf{k}\\right)&=\\frac{\\hbar^{2}\\mathbf{k}^{2}}{2m^{\\star}},\\\\ \\widetilde{\\mu}&=\\mu-\\left[2v(0)-\\frac{v(0)nma^{2}}{3\\hbar^{2}}\\frac{m^{\\star}}{m}\\right]\\\\ &\\times\\mathcal{P}\\int_{-\\infty}^{+\\infty}\\mathrm{d}\\omega\\mathcal{N}(\\omega,\\widetilde{\\mu})\\frac{\\left(\\omega+\\widetilde{\\mu}\\right)}{e^{\\beta\\omega}-1},\\end{align}",
"tokens": 119,
"width": 1015
}
|
00000075__8da9f1a426
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 361,
"id": "00000078__4b3cf780d7",
"lines": 3,
"tex": "\\begin{eqnarray}\\rho\\left(\\partial_t{\\bf u}+({\\bf u}\\cdot\\nabla){\\bf u}\\right)&=&-\\nabla p+\\frac{1}{\\mu_0}({\\bf\\nabla\\times}{\\bf B})\\times{\\bf B}+\\rho\\nu\\Delta{\\bf u}+\\rho{\\bf f}_u\\\\ \\partial_t{\\bf B}+({\\bf u}\\cdot\\nabla){\\bf B}&=&({\\bf B}\\cdot\\nabla){\\bf u}+\\eta\\Delta{\\bf B}+{\\bf f}_B\\\\ \\nabla\\cdot{\\bf u}&=&\\nabla\\cdot{\\bf B}=0\\end{eqnarray}",
"tokens": 114,
"width": 1245
}
|
00000078__4b3cf780d7
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 185,
"id": "00000078__62ff1c9bf2",
"lines": 3,
"tex": "\\begin{eqnarray}\\dot{\\rho}_{11}=&&-\\dot{\\rho}_{22}=\\rho_{11}\\rho_{22}\\,\\frac{2\\Delta I}{S_0}\\,[I(t)-I_0]-2\\,\\frac{H}{\\hbar}\\,\\mbox{Im}\\,\\rho_{12},\\\\ {\\dot\\rho}_{12}=&&-(\\rho_{11}-\\rho_{22})\\frac{\\Delta I}{S_0}\\,[I(t)-I_0]\\,\\rho_{12}-\\gamma\\rho_{12}\\\\ &&{}+\\,{\\rm i}\\,\\frac{\\varepsilon}{\\hbar}\\,\\rho_{12}+{\\rm i}\\,\\frac{H}{\\hbar}\\,(\\rho_{11}-\\rho_{22}),\\end{eqnarray}",
"tokens": 147,
"width": 484
}
|
00000078__62ff1c9bf2
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 100,
"id": "00000080__151f40879e",
"lines": 2,
"tex": "\\begin{eqnarray}F_{\\alpha\\beta}&=&\\frac{V_{\\rm s}}{8\\pi^2}\\int^{1}_{-1}\\!d\\mu\\int^{k_{\\rm max}}_{k_{\\rm min}}k^2dk~\\frac{\\partial\\ln P_s(k,\\mu)}{\\partial p_\\alpha}\\frac{\\partial\\ln P_s(k,\\mu)}{\\partial p_\\beta}\\\\ &&\\times\\left[\\frac{\\bar{n}_gP_s(k,\\mu)}{\\bar{n}_gP_s(k,\\mu)+1}\\right]^2,\\end{eqnarray}",
"tokens": 116,
"width": 317
}
|
00000080__151f40879e
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 303,
"id": "00000081__082ba7cde3",
"lines": 2,
"tex": "\\begin{eqnarray}K({\\bf r},t;{\\bf r}',0)&=&\\int'D[{\\bf r}]\\int D[{\\bf p}]e^{iS}\\,,\\\\ S&=&\\int_0^td\\tau\\,\\left[{\\bf p}(\\tau)\\cdot{\\dot{{\\bf r}}}(\\tau)-{\\mathcal{H}}_{\\bf A}({\\bf r}(\\tau),{\\bf p}(\\tau))\\right]\\,.\\end{eqnarray}",
"tokens": 80,
"width": 993
}
|
00000081__082ba7cde3
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 100,
"id": "00000090__c0f01d7ad4",
"lines": 2,
"tex": "\\begin{eqnarray*}I^{(l,m,n)}[\\mu^2]&=&(\\int d^2r)^{-1}\\int d^2r_1d^2r_2d^2r_3(\\int{\\frac{d^2p_1}{(2\\pi)^2}}{\\frac{e^{i\\vec{p_1}\\cdot(\\vec{r}_1-\\vec{r}_2)}}{p^2+\\mu^2}})^l\\\\ &&(\\int{\\frac{d^2p_2}{(2\\pi)^2}}{\\frac{e^{i\\vec{p_2}\\cdot(\\vec{r}_2-\\vec{r}_3)}}{p^2+\\mu^2}})^m(\\int{\\frac{d^2p_2}{(2\\pi)^2}}{\\frac{e^{i\\vec{p_2}\\cdot(\\vec{r}_2-\\vec{r}_3)}}{p^2+\\mu^2}})^n\\;.\\end{eqnarray*}",
"tokens": 198,
"width": 367
}
|
00000090__c0f01d7ad4
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 375,
"id": "00000090__d1999ae53c",
"lines": 2,
"tex": "\\begin{eqnarray}\\Delta n_{i}&=&2\\sum_{j}\\pi_{c^{2}}(i,j)\\overline{\\lambda}_{j}^{(c)}\\\\ &&+2\\sum_{j_{1}j_{2}}\\sum_{\\nu_{1}}\\pi_{c\\nu_{1}^{2}}(i,j_{1},j_{2})\\overline{\\lambda}_{j_{1}\\nu_{1}}^{(s)}\\overline{\\lambda}_{j_{2}\\nu_{1}}^{(s)}+\\cdots,\\end{eqnarray}",
"tokens": 98,
"width": 950
}
|
00000090__d1999ae53c
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 189,
"id": "00000096__690496e2a4",
"lines": 1,
"tex": "\\begin{equation}\\centering\\rho({\\bf M},{\\bf P},{\\bf\\underline{r}})=\\frac{\\Psi({\\bf M},{\\bf P})n({\\bf\\underline{r}})S({\\bf M},{\\bf P},{\\bf\\underline{r}})}{\\int\\!\\!\\int\\!\\!\\int\\Psi({\\bf M},{\\bf P})n({\\bf\\underline{r}})S({\\bf M},{\\bf P},{\\bf\\underline{r}})d{\\bf M}d{\\bf P}dV}\\end{equation}",
"tokens": 93,
"width": 1000
}
|
00000096__690496e2a4
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 124,
"id": "00000098__4925adfeef",
"lines": 1,
"tex": "\\begin{equation}E_{q_1,q_2,q_3}=\\epsilon_{q_1}+\\epsilon_{q_2}+\\epsilon_{q_3}+E_{spin}\\end{equation}",
"tokens": 38,
"width": 665
}
|
00000098__4925adfeef
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 167,
"id": "00000101__2176f75e03",
"lines": 4,
"tex": "\\begin{equation}\\begin{split}\\overline{\\cal{A}}_{\\text{ORPA}}&=\\\\ \\overline{\\cal{A}}^R&+\\frac{1}{2}[\\rho_1^2(\\hat{c}_c(0)-\\hat{c}_c^R(0))+\\rho_1\\rho_0(\\hat{c}_{10}(0)-\\hat{c}_{10}^R(0))]-\\frac{\\rho_1}{2}[c_{11}(0)-c_{11}^R(0)]\\\\ &-\\frac{1}{2(2\\pi^3)}\\int d{\\bf k}\\ln\\frac{1-\\rho_1\\,\\hat{c}_c(k)}{1-\\rho_1\\,\\hat{c}_c^R(k)}-\\beta\\frac{\\rho_1\\,\\rho_0}{2}\\int d{\\bf r}g_{01}(r)u_{01}(r)\\\\ &+\\frac{\\rho_1^2}{2}\\int d{\\bf r}[h_c(r)-h_c^R(r)]c_b^R(r)+\\frac{\\rho_1\\,\\rho_0}{2}\\int d{\\bf r}[h_{01}(r)-h_{01}^R(r)]c_{01}^R(r),\\end{split}\\end{equation}",
"tokens": 266,
"width": 504
}
|
00000101__2176f75e03
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 425,
"id": "00000102__c9e72569c2",
"lines": 6,
"tex": "\\begin{eqnarray}p=1:\\\\ &&w(0)=-1\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;(w'(0)\\geq0)\\\\ &&w(0)+w'(0)=-1\\;\\;\\;\\;\\;\\;\\;(w'(0)<0)\\\\ p=2:\\\\ &&w(0)=-1\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;(w'(0)\\geq0)\\\\ &&w(0)+w'(0)/2=-1\\;\\;\\;\\;\\;\\;\\;(w'(0)<0)\\end{eqnarray}",
"tokens": 136,
"width": 842
}
|
00000102__c9e72569c2
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 599,
"id": "00000104__f3cc8021cf",
"lines": 5,
"tex": "\\begin{eqnarray}\\ln[{\\cal Z}_\\delta]&=&-\\ln[{\\cal Z}_0]+\\ln[{\\cal Z}_\\mu]+\\sum_{l=1}^\\infty{\\frac{(-1)^{(l+1)}}{l}}[\\sum_{n=1}^\\infty{\\frac{(-1)^n}{n!}}\\delta^n<(\\int d^2r{\\cal H}_D(\\vec{r}))^n>_\\mu]^l\\\\ &=&-\\ln[{\\cal Z}_0]+\\ln[{\\cal Z}_\\mu]-\\delta<\\int d^2r{\\cal H}_D(\\vec{r})>_\\mu\\\\ &&+\\delta^2{\\frac{1}{2}}[<(\\int d^2r{\\cal H}_D(\\vec{r}))^2>_\\mu-(<\\int d^2r{\\cal H}_D(\\vec{r})>_\\mu)^2]\\\\ &&-\\delta^3[{\\frac{1}{3!}}<(\\int d^2r{\\cal H}_D(\\vec{r}))^3>_\\mu+{\\frac{1}{3}}(<\\int d^2r{\\cal H}_D(\\vec{r})>_\\mu)^3\\\\ &&-{\\frac{1}{2}}<\\int d^2r{\\cal H}_D(\\vec{r})>_\\mu<(\\int d^2r{\\cal H}_D(\\vec{r}))^2>_\\mu]+\\cdots\\;.\\end{eqnarray}",
"tokens": 278,
"width": 1352
}
|
00000104__f3cc8021cf
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 61,
"id": "00000105__43d00194c9",
"lines": 1,
"tex": "\\begin{equation}S(>M)=0.\\end{equation}",
"tokens": 8,
"width": 146
}
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{
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"tex": "\\begin{equation}\\frac{\\partial D}{\\partial t}\\propto-3\\sigma_3\\frac{\\partial^4D^2}{\\partial x^4}\\;\\end{equation}",
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00000105__992b72cce5
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"tex": "\\begin{equation}V_{\\rm eff}(\\vec R_1;\\vec R_2)=V_{\\rm eff}(\\vec R_2;\\vec R_1).\\end{equation}",
"tokens": 32,
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00000112__af259d52c2
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{
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"height": 102,
"id": "00000113__66b24815b5",
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"tex": "\\begin{eqnarray}\\mathbb{W}=\\left[\\begin{array}{c}I\\mathbf{H}\\\\ \\mathbf{q}^{\\times}\\mathbf{E}\\end{array}\\right]=\\left[\\begin{array}{c}\\mathbf{H}\\\\ \\gamma\\mathbf{H}\\end{array}\\right],\\\\ \\gamma=\\frac{1}{n_{0}}\\left(\\mathbf{a}_{0}\\otimes\\mathbf{a}_{0}+\\mathbf{b}_{0}\\otimes\\mathbf{b}_{0}\\right)=\\frac{1}{n_{0}}I.\\end{eqnarray}",
"tokens": 104,
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00000113__66b24815b5
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{
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"height": 105,
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"tex": "\\begin{equation}S_3=\\int\\mathrm{d}\\eta\\,\\mathrm{d}^3x\\;\\left[-\\frac{a^2\\dot{\\varphi}}{2H}\\phi'\\partial^{-2}\\phi'\\partial^2\\phi-\\frac{a^2\\dot{\\varphi}}{4H}\\phi\\phi'^2\\right]\\end{equation}",
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00000119__1707ef89ca
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/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
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{
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"tex": "\\begin{equation}\\zeta({\\bf r})=\\frac{e^{i\\vartheta({\\bf r})}}{\\sqrt{2}}\\left(\\begin{array}{c}-m_x({\\bf r})+im_y({\\bf r})\\\\ \\sqrt{2}m_z({\\bf r})\\\\ m_x({\\bf r})+im_y({\\bf r})\\end{array}\\right)\\equiv e^{i\\vartheta({\\bf r})}\\zeta_{\\rm AF}({\\bf r})\\end{equation}",
"tokens": 89,
"width": 392
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00000119__466fb6e55a
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
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{
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"tex": "\\[\\psi\\propto e^{\\sqrt{\\lambda}t_{0}}.\\]",
"tokens": 14,
"width": 236
}
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00000119__49ac2f4ab2
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/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
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{
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"height": 92,
"id": "00000119__c33936b24a",
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"tex": "\\begin{equation}\\zeta({\\bf r})=\\frac{e^{i\\vartheta({\\bf r})}}{\\sqrt{2}}\\left(\\begin{array}{c}-m_x({\\bf r})+im_y({\\bf r})\\\\ \\sqrt{2}m_z({\\bf r})\\\\ m_x({\\bf r})+im_y({\\bf r})\\end{array}\\right)\\equiv e^{i\\vartheta({\\bf r})}\\zeta_{\\rm AF}({\\bf r})\\end{equation}",
"tokens": 89,
"width": 392
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00000119__c33936b24a
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/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
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{
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"height": 252,
"id": "00000120__e02dcfd4cf",
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"tex": "\\begin{eqnarray}\\chi_{c}^{(6)}=720{\\frac{\\chi^3}{m^6}}\\Biggl[8(u_4+v_4)^2-u_6-q_6-v_6\\Biggr],\\\\ \\chi_{d}^{(6)}=720{\\frac{\\chi^3}{m^6}}\\Biggl[8\\Biggl(u_4+{\\frac{v_4}{3}}\\Biggr)^2-u_6-{\\frac{q_6}{3}}-{\\frac{v_6}{9}}\\Biggr].\\end{eqnarray}",
"tokens": 110,
"width": 620
}
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00000120__e02dcfd4cf
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/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
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{
"category": "complex",
"height": 62,
"id": "00000121__cc5eb0c4e7",
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"tex": "\\begin{equation}{T}^{\\dagger}_{2N}\\left(\\begin{array}{cc}0&I_N\\\\ -I_N&0\\end{array}\\right){T}_{2N}=\\left(\\begin{array}{cc}0&I_N\\\\ -I_N&0\\end{array}\\right),\\end{equation}",
"tokens": 57,
"width": 272
}
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00000121__cc5eb0c4e7
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{
"category": "complex",
"height": 31,
"id": "00000122__08024fa480",
"lines": 1,
"tex": "\\begin{equation}\\mathcal{C}=\\{l,m,n:\\epsilon_{l}+\\epsilon_{m}+\\epsilon_{n}\\le E_{{\\rm cut}}\\},\\end{equation}",
"tokens": 33,
"width": 187
}
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00000122__08024fa480
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{
"category": "complex",
"height": 292,
"id": "00000122__8edcfe7f5b",
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"tex": "\\begin{equation}R_p=\\begin{cases}R_H\\:\\frac{2(z-\\sqrt{1+z}+1)}{1+z}&\\text{formodelA,}\\\\ R_H\\:\\frac{z(1+0.5z)}{1+z}&\\text{formodelB,}\\\\ R_H\\:z&\\text{formodelC.}\\\\ \\end{cases}\\end{equation}",
"tokens": 77,
"width": 774
}
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00000122__8edcfe7f5b
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{
"category": "complex",
"height": 274,
"id": "00000123__f4407f00ad",
"lines": 3,
"tex": "\\begin{eqnarray}&&\\Lambda({\\bf p},\\epsilon;{\\bf q},\\omega)\\\\ &=&1+\\sum_{\\sigma'}\\frac{\\Omega}{(2\\pi)^3}\\int d^3{\\bf p}'\\int\\frac{d\\epsilon'}{2\\pi i}I^{\\sigma\\sigma'}({\\bf p},\\epsilon;{\\bf p'},\\epsilon';{\\bf q},\\omega)\\\\ &&\\times G_{\\sigma'}({\\bf{p}',\\epsilon}')G_{\\sigma'}({\\bf p'+q},\\epsilon'+\\omega)\\Lambda({\\bf p}',\\epsilon';{\\bf q},\\omega).\\end{eqnarray}",
"tokens": 113,
"width": 811
}
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00000123__f4407f00ad
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/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
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{
"category": "complex",
"height": 309,
"id": "00000127__4c6ab6e9b2",
"lines": 2,
"tex": "\\begin{eqnarray}&&\\delta_{\\rm b}'=3\\psi'-\\theta_{\\rm b},\\\\ &&\\theta_{\\rm b}'=-{\\cal H}\\theta_{\\rm b}+k^2\\phi+\\frac{4}{3}\\frac{\\rho_{\\gamma}}{\\rho_{\\rm b}}an_{\\rm e}x_{\\rm e}\\sigma_{\\rm T}(\\theta_{\\gamma}-\\theta_{\\rm b}).\\end{eqnarray}",
"tokens": 78,
"width": 1026
}
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00000127__4c6ab6e9b2
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{
"category": "complex",
"height": 111,
"id": "00000130__1e0107475a",
"lines": 1,
"tex": "\\begin{equation}{\\tilde E}(\\omega_s)=\\frac{\\kappa^2_1(\\omega^s)/\\varepsilon_1(\\omega^s)}{f'_{+}(z_0)-f_{+}(z_0)i\\kappa^2/\\varepsilon k_z^s}\\int_{z_0}^{\\infty}f_{+}(z')I(z')dz'\\end{equation}",
"tokens": 73,
"width": 596
}
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00000130__1e0107475a
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{
"category": "complex",
"height": 204,
"id": "00000134__77f0c103d3",
"lines": 4,
"tex": "\\begin{eqnarray}&&\\overline{S^{(0)}_1+S^{(0)*}_2}=E^{(0)}_1+E^{(0)*}_2\\\\ &&\\overline{S^{(1)}_\\alpha(x)}=E^{(1)}_\\alpha(x)\\\\ &&\\overline{S^{(2)}_\\alpha(x,x')}=E^{(2)}_\\alpha(x,x')\\\\ &&\\overline{S^{(1,1)}(x,x')}=0.\\end{eqnarray}",
"tokens": 92,
"width": 329
}
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00000134__77f0c103d3
|
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{
"category": "complex",
"height": 169,
"id": "00000134__e5aff8429a",
"lines": 1,
"tex": "\\begin{eqnarray}{\\bf E}^\\pm_{\\bf Q}=\\frac{{\\rm i}}{\\Gamma_Q}(\\frac{{\\bf K}_{\\bf Q}^\\pm}{v\\epsilon_h}-\\frac{\\omega\\mu_h}{c^2}{\\hat{\\bf x}}).\\end{eqnarray}",
"tokens": 51,
"width": 453
}
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00000134__e5aff8429a
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{
"category": "complex",
"height": 382,
"id": "00000141__b16122e1f1",
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"tex": "\\begin{align}\\widehat{\\Phi}_{0}(\\widehat{C})&=\\frac{a(\\widehat{C})}{\\prod_{\\widehat{\\gamma}}\\widehat{C}(\\widehat{\\gamma})!}\\prod_{\\widehat{\\gamma}}\\varphi_{\\text{o}}(\\widehat{\\gamma})^{C(\\widehat{\\gamma})}\\\\ \\widehat{\\Phi}(\\widehat{\\gamma})&=\\sum_{\\widehat{C}:\\text{supp}\\,\\widehat{C}=\\widehat{\\gamma}}\\widehat{\\Phi}_{0}(\\widehat{C})\\end{align}",
"tokens": 95,
"width": 1157
}
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00000141__b16122e1f1
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{
"category": "complex",
"height": 85,
"id": "00000143__8822e3aac6",
"lines": 1,
"tex": "\\begin{equation}\\rho_L\\propto\\frac{1}{\\pi e^2}\\int\\limits_{-\\Omega}^\\Omega\\!d\\omega\\,\\Re{\\rm e}\\,\\sigma_{xx}(\\omega)\\approx-\\frac{1}{2}\\left\\langle H_{\\rm KE}\\right\\rangle.\\end{equation}",
"tokens": 56,
"width": 372
}
|
00000143__8822e3aac6
|
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{
"category": "complex",
"height": 137,
"id": "00000143__d95994b2bf",
"lines": 1,
"tex": "\\begin{equation}f({\\rm kHz})\\approx1.44-2.59\\frac{T}{|W|},\\end{equation}",
"tokens": 22,
"width": 459
}
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00000143__d95994b2bf
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/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
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{
"category": "complex",
"height": 132,
"id": "00000144__e34fdc1d1d",
"lines": 1,
"tex": "\\begin{equation}\\Delta_c(\\infty,L)=\\lim_{m\\rightarrow\\infty}\\Delta_c(m,L).\\end{equation}",
"tokens": 24,
"width": 533
}
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00000144__e34fdc1d1d
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{
"category": "complex",
"height": 354,
"id": "00000145__70f5be7188",
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"tex": "\\begin{eqnarray}g(m)&=&\\left\\{1-I+\\frac{I^2}{2}\\left[\\ln\\left(\\frac{\\lambda}{|m|}\\right)+\\frac{5}{2}\\right]\\right\\}m^2-\\frac{3I^2}{\\lambda}|m|^3\\\\ &&+\\left(C+\\frac{13I^2}{2\\lambda^2}\\right)\\frac{m^4}{12}+O(|m|^5,I^3)\\;.\\end{eqnarray}",
"tokens": 99,
"width": 1112
}
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00000145__70f5be7188
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{
"category": "complex",
"height": 249,
"id": "00000146__cb1c710887",
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"tex": "\\begin{eqnarray}V_{\\delta J_{12}}&=&-\\delta J_{12}\\sum_{i\\in II,\\delta_x}\\Biggl[S_i^\\xi S_{i+\\delta_x}^\\eta+S_i^\\eta S_{i+\\delta_x}^\\xi\\Biggr]+\\delta J_{12}\\sum_{i\\in II,\\delta_y}\\Biggl[S_i^\\xi S_{i+\\delta_y}^\\eta+S_i^\\eta S_{i+\\delta_y}^\\xi\\Biggr]\\ .\\end{eqnarray}",
"tokens": 107,
"width": 1447
}
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00000146__cb1c710887
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/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
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{
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"height": 82,
"id": "00000148__046d7d512e",
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"tex": "\\begin{eqnarray*}\\lim_{\\vec{x}\\rightarrow\\vec{x}_{0}}\\partial_{\\phi}\\theta&\\doteq&1+\\frac{\\varepsilon r\\cos\\phi}{2}\\ln\\frac{\\varepsilon r}{8}\\\\ \\lim_{\\vec{x}\\rightarrow\\vec{x}_{0}}\\partial_{r}\\theta&\\doteq&\\frac{\\varepsilon}{2}\\left(1+\\ln\\frac{\\varepsilon r}{8}\\right)\\sin\\phi\\end{eqnarray*}",
"tokens": 87,
"width": 181
}
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00000148__046d7d512e
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{
"category": "complex",
"height": 296,
"id": "00000150__55b5e7004b",
"lines": 2,
"tex": "\\begin{eqnarray}&&\\frac{1}{\\sqrt{\\pi}}\\exp\\left[-(x-x')^2-i\\beta(y+y')(x-x')\\right]\\\\ &&=\\int_{-\\infty}^{+\\infty}\\frac{dk}{2\\pi}\\exp\\left(-\\frac{[k+\\beta(y+y')]^2}{4}\\right)e^{ik(x-x')}.\\end{eqnarray}",
"tokens": 76,
"width": 797
}
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00000150__55b5e7004b
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/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
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{
"category": "complex",
"height": 123,
"id": "00000151__26d353cf29",
"lines": 1,
"tex": "\\begin{equation}\\tau=\\frac{\\sigma}{4\\pi m_pV_{\\infty}R_{\\rm WD}}f(X,\\beta)\\dot{M}_{\\rm outflow}.\\end{equation}",
"tokens": 35,
"width": 601
}
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00000151__26d353cf29
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/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
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{
"category": "complex",
"height": 94,
"id": "00000151__7492b4c4bb",
"lines": 2,
"tex": "\\begin{eqnarray}\\psi_{LL}&=&N_{LL}(e^{-\\alpha r_1-\\beta r_2}+e^{-\\beta r_1-\\alpha r_2})(1+\\lambda r_{12}),\\\\ \\psi_{RR}&=&N_{RR}(e^{-\\alpha r_1^\\prime-\\beta r_2^\\prime}+e^{-\\beta r_1^\\prime-\\alpha r_2^\\prime})(1+\\lambda r_{12}).\\end{eqnarray}",
"tokens": 90,
"width": 413
}
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00000151__7492b4c4bb
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{
"category": "complex",
"height": 188,
"id": "00000152__fedb47d3c1",
"lines": 2,
"tex": "\\begin{eqnarray}P_{acc,w}(\\delta)&=c_D\\int_Dd^D{\\bf r}\\exp(-\\beta k{\\bf r}^2/2)\\\\ &\\int_{|h|\\leq\\delta}d^D{\\bf h}P_w(h)\\min(1,\\exp(-\\beta k(|{\\bf r}+{\\bf h}|^2-{r}^2)/2))\\end{eqnarray}",
"tokens": 80,
"width": 1017
}
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00000152__fedb47d3c1
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/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
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{
"category": "complex",
"height": 213,
"id": "00000155__0779fad1b1",
"lines": 3,
"tex": "\\begin{eqnarray}h&=&A+B(k\\tau)^{-2}+C(k\\tau)^2+D(k\\tau)\\,,\\\\ \\delta\\equiv(1-R_\\nu)\\delta_\\gamma+R_\\nu\\delta_\\nu&=&-{2\\over3}B(k\\tau)^{-2}-{2\\over3}C(k\\tau)^2-{1\\over6}D(k\\tau)\\,,\\\\ \\theta\\equiv(1-R_\\nu)\\theta_\\gamma+R_\\nu\\theta_\\nu&=&-{3\\over8}Dk\\,,\\end{eqnarray}",
"tokens": 113,
"width": 718
}
|
00000155__0779fad1b1
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
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"id": "00000155__d8834cdd7c",
"lines": 1,
"tex": "\\begin{equation}D(x)=\\sqrt{D}\\left|x\\right|^{-\\frac{\\theta}{2}}\\text{,}\\end{equation}",
"tokens": 23,
"width": 469
}
|
00000155__d8834cdd7c
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 28,
"id": "00000160__58f7039ed3",
"lines": 1,
"tex": "\\begin{equation}c({{\\bf u}_1,{\\bf u}_2,{\\bf r}_{12}})=(1-e^{V_{12}/k_BT})\\:(h({\\bf u}_1,{\\bf u}_2,{\\bf r}_{12})+1),\\end{equation}",
"tokens": 53,
"width": 224
}
|
00000160__58f7039ed3
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 130,
"id": "00000161__cd0d545094",
"lines": 1,
"tex": "\\begin{equation}c=\\omega+1/2,\\end{equation}",
"tokens": 10,
"width": 325
}
|
00000161__cd0d545094
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 168,
"id": "00000162__1a5a53b1a0",
"lines": 3,
"tex": "\\begin{eqnarray}v_{\\rm rad}&=&250\\pm5\\,{\\rm km}/{\\rm s}\\\\ v_b&=&335\\pm62\\,{\\rm km}/{\\rm s}\\\\ v_l&=&-31\\pm62\\,{\\rm km}/{\\rm s}.\\end{eqnarray}",
"tokens": 50,
"width": 312
}
|
00000162__1a5a53b1a0
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 469,
"id": "00000164__90a785f6e2",
"lines": 3,
"tex": "\\begin{eqnarray}H_{eff}=&&\\frac14\\left({\\bf P-}a\\sum_{{\\bf k}}{\\bf k}a_{{\\bf k}}^{+}a_{{\\bf k}}\\right)^2\\\\ &&+\\sum_{{\\bf k}}\\{B_{{\\bf k}}^{\\star}a_{{\\bf k}}^{+}\\exp[-i(1-a){\\bf k\\cdot R]}+h.c.\\}\\\\ &&+\\sum_{{\\bf k}}a_{{\\bf k}}^{+}a_{{\\bf k}}+E_r,\\end{eqnarray}",
"tokens": 95,
"width": 1007
}
|
00000164__90a785f6e2
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 88,
"id": "00000171__7b9594805f",
"lines": 3,
"tex": "\\begin{eqnarray}H&=&H_{0}+H_{\\rm int}\\\\ H_{0}&=&\\sum_{k,j}\\epsilon_{k,j}n_{k,j}-V\\sum_{k,j}[a_{k,j+1}^{\\dag}a_{k,j}+a_{k+1,j}^{\\dag}a_{k,j}+h.c.]\\\\ H_{\\rm int}&=&U\\sum_{k,j}n_{k,j}n_{k\\pm1,j\\pm1},\\end{eqnarray}",
"tokens": 109,
"width": 228
}
|
00000171__7b9594805f
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 244,
"id": "00000171__e4e618a643",
"lines": 2,
"tex": "\\begin{eqnarray}\\xi_\\nabla(\\nu,\\nu',\\theta)&\\equiv&\\left\\langle\\nabla{\\mathcal T}(\\vec{\\theta},\\nu)\\cdot\\nabla{\\mathcal T}(\\vec{\\theta}',\\nu')\\right\\rangle\\\\ &=&r(\\nu)r(\\nu')\\int_0^\\infty\\frac{dk}{(2\\pi)^2}~k^4P_{21}\\left(k,\\overline{\\nu}\\right)~{\\mathcal W}(k,r(\\nu),r(\\nu'),\\theta)\\end{eqnarray}",
"tokens": 98,
"width": 1018
}
|
00000171__e4e618a643
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 66,
"id": "00000172__ea5e50cd16",
"lines": 1,
"tex": "\\begin{equation}U_0=\\int d^{3N}X_\\Gamma\\,|\\Psi_0({\\bf X}_\\Gamma)|^2\\left[\\sum_{i=1}^{{N_a(N_a-1)/2}}U^{a}({{\\bf{\\ell}}^{a}_{i,\\Gamma_a}})+\\sum_{i=1}^{{N_b(N_b-1)/2}}U^{a}({{\\bf{\\ell}}^{b}_{i,\\Gamma_b}})+\\sum_{i=1}^{{N_aN_b}}U^{x}({{\\bf{\\ell}}^{ab}_{i,\\Gamma}})\\right],\\end{equation}",
"tokens": 125,
"width": 430
}
|
00000172__ea5e50cd16
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 124,
"id": "00000174__91688807ed",
"lines": 3,
"tex": "\\begin{equation}\\left(\\begin{array}{c}U\\\\ V\\end{array}\\right)=\\left(\\begin{array}{c}A_{\\mathrm{in}}\\\\ (-a)^{-1/2}A_{\\mathrm{in}}\\end{array}\\right)\\mathrm{sech}\\left(\\frac{A_{\\mathrm{in}}\\xi}{\\sqrt{2}}\\right),A_{\\mathrm{in}}=\\sqrt{2\\kappa}\\left(-\\mu/\\kappa-(-a)^{-1/2}\\right)^{1/2}.\\end{equation}",
"tokens": 94,
"width": 782
}
|
00000174__91688807ed
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 469,
"id": "00000176__750c559539",
"lines": 3,
"tex": "\\begin{eqnarray}\\Delta E_{\\alpha\\nu}&=&\\sum_{q_j=-q_{\\alpha\\nu}^0}^{+q_{\\alpha\\nu}^0}\\,\\Delta N_{\\alpha\\nu}^{NF}(q_j)\\,\\epsilon_{\\alpha\\nu}(q_j)\\,,\\\\ \\Delta E^{phF}_{\\alpha\\nu}&=&{2\\pi\\over L}v_{\\alpha\\nu}\\,[m_{\\alpha\\nu,\\,+1}+m_{\\alpha\\nu,\\,-1}]\\,;\\alpha\\nu=c0,s1\\,,\\\\ E_{\\alpha}&=&\\mu_{\\alpha}\\,[L_{\\alpha,\\,-1/2}+\\delta_{\\alpha,c}N^F_{c1}+\\sum_{\\nu=2}^{\\infty}\\nu N^F_{\\alpha\\nu}]\\,;\\alpha=c,s\\,;\\mu_c=2\\mu\\,,\\mu_s=2\\mu_0H\\,.\\end{eqnarray}",
"tokens": 184,
"width": 1374
}
|
00000176__750c559539
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 783,
"id": "00000177__89a11908fa",
"lines": 7,
"tex": "\\begin{eqnarray}{\\tilde{\\Theta}}_{k,\\,\\alpha\\nu}^{l,NF,i}&=&\\left({1\\over N_a}\\right)^{{\\cal{N}}_{\\alpha\\nu}-1\\over2}\\Bigl\\{\\,\\Theta(\\Delta N_{\\alpha\\nu}^{NF})\\Bigl[\\prod_{i'=0}^{\\Delta N_{\\alpha\\nu}^{NF}+N^{phNF}_{\\alpha\\nu}-1}\\prod_{i''=\\Delta N_{\\alpha\\nu}^{NF}+N^{phNF}_{\\alpha\\nu}}^{{\\cal{N}}_{\\alpha\\nu}-1}\\Bigl(\\sum_{{\\bar{q}}_{i'}=-q^0_{\\alpha\\nu}}^{+q^0_{\\alpha\\nu}}\\,e^{-ii'a_{\\alpha\\nu}^0{\\bar{q}}_{i'}}f^{\\dag}_{{\\bar{q}}_{i'},\\,\\alpha\\nu}\\Bigr)\\\\ &\\times&\\Bigl(\\sum_{{\\bar{q}}_{i''}=-q^0_{\\alpha\\nu}}^{+q^0_{\\alpha\\nu}}\\,e^{ii''a_{\\alpha\\nu}^0{\\bar{q}}_{i''}}f_{{\\bar{q}}_{i''},\\,\\alpha\\nu}\\Bigr)\\Bigr]\\delta_{k,l[\\sum_{i'=0}^{\\Delta N_{\\alpha\\nu}^{NF}+N^{phNF}_{\\alpha\\nu}-1}{\\bar{q}}_{i'}-\\sum_{i''=\\Delta N_{\\alpha\\nu}^{NF}+N^{phNF}_{\\alpha\\nu}}^{{\\cal{N}}_{\\alpha\\nu}-1}{\\bar{q}}_{i''}]}\\\\ &+&\\theta(-\\Delta N_{\\alpha\\nu}^{NF})\\Bigl[\\prod_{i'=0}^{\\vert\\Delta N_{\\alpha\\nu}^{NF}\\vert+N^{phNF}_{\\alpha\\nu}-1}\\prod_{i''=\\vert\\Delta N_{\\alpha\\nu}^{NF}\\vert+N^{phNF}_{\\alpha\\nu}}^{{\\cal{N}}_{\\alpha\\nu}-1}\\Bigl(\\sum_{{\\bar{q}}_{i'}=-q^0_{\\alpha\\nu}}^{+q^0_{\\alpha\\nu}}\\,e^{ii'a_{\\alpha\\nu}^0{\\bar{q}}_{i'}}f_{{\\bar{q}}_{i'},\\,\\alpha\\nu}\\Bigr)\\\\ &\\times&\\Bigl(\\sum_{{\\bar{q}}_{i''}=-q^0_{\\alpha\\nu}}^{+q^0_{\\alpha\\nu}}\\,e^{-ii''a_{\\alpha\\nu}^0{\\bar{q}}_{i''}}f^{\\dag}_{{\\bar{q}}_{i''},\\,\\alpha\\nu}\\Bigr)\\Bigr]\\\\ &\\times&\\delta_{k,l[-\\sum_{i'=0}^{\\vert\\Delta N_{\\alpha\\nu}^{NF}\\vert+N^{phNF}_{\\alpha\\nu}-1}{\\bar{q}}_{i'}+\\sum_{i''=\\vert\\Delta N_{\\alpha\\nu}^{NF}\\vert+N^{phNF}_{\\alpha\\nu}}^{{\\cal{N}}_{\\alpha\\nu}-1}{\\bar{q}}_{i''}]}\\Bigr\\}\\,;\\alpha\\nu=c0,s1\\,,\\\\ {\\tilde{\\Theta}}_{k,\\,\\alpha\\nu}^{l,NF,i}&=&\\left({1\\over N_a}\\right)^{{\\cal{N}}_{\\alpha\\nu}-1\\over2}\\Bigl[\\prod_{i'=0}^{{\\cal{N}}_{\\alpha\\nu}-1}\\sum_{{\\bar{q}}_{i'}=-q^0_{\\alpha\\nu}}^{+q^0_{\\alpha\\nu}}\\,e^{-ii'a_{\\alpha\\nu}^0{\\bar{q}}_{i'}}\\,f^{\\dag}_{{\\bar{q}}_{i'},\\,\\alpha\\nu}\\Bigr]\\\\ &\\times&\\delta_{k,l[c_{\\alpha\\nu}\\sum_{i'=0}^{{\\cal{N}}_{\\alpha\\nu}-1}{\\bar{q}}_{i'}]}\\,;c\\nu\\neq c0\\,,n<1\\,;s\\nu\\neq s1\\,,m>0\\,.\\end{eqnarray}",
"tokens": 770,
"width": 1053
}
|
00000177__89a11908fa
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 310,
"id": "00000178__11b05a661c",
"lines": 4,
"tex": "\\begin{eqnarray}\\tan\\delta_n&&=\\frac{\\sigma_n}{\\tau_{n-1}~\\kappa_{n-1}}\\\\ \\kappa_{n}&&=\\sqrt{2(c_n+\\tau_n^2)}\\\\ c_n&&=\\frac{\\tau_{n1}^2(c_{n-1}+\\tau_{n-1}^2)\\sec(\\delta_{n})^2}{(\\tau_{n-1}+\\delta_n)^2}-(\\tau_{n-1}+\\delta_n)\\\\ \\tau_n&&=\\tau_{n-1}+\\delta_{n}\\end{eqnarray}",
"tokens": 123,
"width": 742
}
|
00000178__11b05a661c
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 55,
"id": "00000179__6d0cd2cea6",
"lines": 1,
"tex": "\\begin{equation}\\frac{dP_n}{d\\Omega}=\\frac{G\\omega_n^2}{\\pi}[{\\tau}^{*}_{pq}{\\tau}_{pq}-\\frac{1}{2}{\\tau}^{*}_{qq}{\\tau}_{pp}]\\,,\\end{equation}",
"tokens": 46,
"width": 232
}
|
00000179__6d0cd2cea6
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 103,
"id": "00000181__1e5b5b5dc3",
"lines": 1,
"tex": "\\begin{equation}G(x,y)=\\sum_{n=0}^\\infty H_n(x)y^n\\end{equation}",
"tokens": 24,
"width": 269
}
|
00000181__1e5b5b5dc3
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 156,
"id": "00000182__a43ecbe841",
"lines": 2,
"tex": "\\begin{eqnarray}W&=&\\sqrt{\\frac{4\\pi G}{3}}\\frac{m\\phi}{1-8\\pi G\\xi\\phi^2},\\\\ \\frac{d\\alpha}{d\\phi}&=&-4\\pi G\\frac{\\phi(1-8\\pi G\\xi\\phi^2(1-6\\xi))}{1-64\\pi^2G^2\\xi^2\\phi^4}.\\end{eqnarray}",
"tokens": 77,
"width": 376
}
|
00000182__a43ecbe841
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 76,
"id": "00000182__b76de8d011",
"lines": 1,
"tex": "\\begin{equation}E=-n_{\\rm nn}\\epsilon+E_{\\rm strain}+E_{\\rm nnn},\\end{equation}",
"tokens": 24,
"width": 398
}
|
00000182__b76de8d011
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 636,
"id": "00000187__ee01dcc2c9",
"lines": 5,
"tex": "\\begin{eqnarray}{\\cal D}\\mbox{\\boldmath$v$}&\\equiv&\\frac{d\\mbox{\\boldmath$v$}e^{-\\frac12\\mbox{\\boldmath$v$}\\cdot\\mbox{\\boldmath$R$}^{-1}\\mbox{\\boldmath$v$}}}{\\sqrt{(2\\pi)^t|\\mbox{\\boldmath$R$}|}},\\\\ \\operatorname{Tr}{\\mbox{\\boldmath$\\sigma$}}&\\equiv&\\sum_{\\sigma(0),\\cdots,\\sigma(t)\\in\\{-1,1\\}},\\\\ h(\\mbox{\\boldmath$\\sigma$},\\mbox{\\boldmath$v$},s)&=&\\xi^{s+1}m(s)+\\theta(s)+\\sqrt{\\alpha}v(s)+(\\mbox{\\boldmath$\\Gamma$}\\mbox{\\boldmath$\\sigma$})(s),\\\\ \\mbox{\\boldmath$R$}&=&\\sum_{a=0}^{l-1}\\sum_{m,n\\ge0}\\mbox{\\boldmath$G$}^{ml+a}\\mbox{\\boldmath$C$}(\\mbox{\\boldmath$G$}^\\dagger)^{nl+a},\\\\ \\mbox{\\boldmath$\\Gamma$}&=&\\frac\\alpha l\\sum_{\\mu=0}^{l-1}e^{2\\pi i\\mu/l}[\\mbox{\\boldmath$1$}-e^{2\\pi i\\mu/l}\\mbox{\\boldmath$G$}]^{-1},\\end{eqnarray}",
"tokens": 264,
"width": 844
}
|
00000187__ee01dcc2c9
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 362,
"id": "00000189__72f9c31293",
"lines": 3,
"tex": "\\begin{eqnarray}\\tau_{\\nu}&=&\\int^{R_g}_{\\infty}\\kappa_{\\nu}\\rho_{\\rm b}dr\\\\ &\\approx&\\kappa_{\\nu}(R_g)\\rho_{\\rm b}(R_g)L_p(R_g)\\\\ &\\approx&0.076R_7^2\\left(\\frac{T_{\\nu}}{3.5{\\rm MeV}}\\right)^6\\left(\\frac{1.4M_{\\odot}}{M}\\right).\\end{eqnarray}",
"tokens": 99,
"width": 695
}
|
00000189__72f9c31293
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 78,
"id": "00000190__43aba4497f",
"lines": 3,
"tex": "\\begin{eqnarray}&&\\Sigma_{setting-sun}(0)=\\\\ &&\\frac{1}{48\\pi^{4}}\\left(-\\gamma-\\log(\\xi)+\\frac{1}{48}\\left(-2\\pi^2+12\\Gamma'\\log\\left(\\frac{4}{3}\\right)\\right)-\\frac{1}{16}~\\left(\\left(2\\log^2(3)-\\gamma_{1}\\right)\\right)\\right)\\\\ &&\\sqrt\\xi=\\frac{a}{\\Lambda}\\end{eqnarray}",
"tokens": 98,
"width": 285
}
|
00000190__43aba4497f
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 325,
"id": "00000190__c8cbaf4332",
"lines": 3,
"tex": "\\begin{align}&G_x(\\v i)=i\\tau^{\\th_x},&&G_y(\\v i)=i\\tau^{\\th_y}\\\\ &(-)^{i_x}G_{P_x}(\\v i)=g_3(\\th_{px})&&(-)^{i_y}G_{P_y}(\\v i)=g_3(\\th_{py})\\\\ &G_{P_{xy}}(\\v i)=g_3(\\th_{pxy}),\\ i\\tau^{\\th_{pxy}}&&(-)^{\\v i}G_T(\\v i)=g_3(\\th_T),\\ i\\tau^{\\th_T}\\end{align}",
"tokens": 134,
"width": 1312
}
|
00000190__c8cbaf4332
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 199,
"id": "00000194__45394ae689",
"lines": 2,
"tex": "\\begin{eqnarray}D(\\Omega)&=&\\frac{L\\pi}{2\\hbar\\Omega}\\sum_{{\\bf k},{\\bf q}}\\,\\,\\delta_{k_zq_z}({\\bf k}-{\\bf q})^2[|\\Lambda_{{\\bf k}{\\bf q}}^{(0)}|^2(n_q-n_k)\\delta(\\omega_k-\\omega_q-\\Omega)\\\\ &&+2|\\Gamma_{{\\bf k}{\\bf q}}^{(0)}|^2(f_q-f_k)\\delta(\\epsilon_k/\\hbar-\\epsilon_q/\\hbar-\\Omega)],\\end{eqnarray}",
"tokens": 113,
"width": 856
}
|
00000194__45394ae689
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
|
{
"category": "complex",
"height": 40,
"id": "00000197__789540fa48",
"lines": 1,
"tex": "\\begin{equation}21=15\\oplus6\\,.\\end{equation}",
"tokens": 9,
"width": 104
}
|
00000197__789540fa48
|
/tmp/hf-datasets-cache/medium/datasets/78473036549634-config-parquet-and-info-topdu-CMER-Bench1-5-f7c3e3c2/hub/datasets--topdu--CMER-Bench1.5/snapshots/e1291b64bc306c717c7e71145804fa83c2339882/complex/complex-000000.tar
|
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