mathmlben
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Visualization for goldstandard
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{
"definitions" : {
"m" : [ {
"Q1413083" : "parameter"
} ],
"H_{\\rm G}^{\\rm phen}[N]" : [ {
"Q5645295" : "Hamiltonian constraint"
} ],
"K_c^j" : [ "extrinsic curvature", {
"Q214881" : "curvature"
} ],
"E_c^j" : [ "densitized triad", { } ],
"\\bar{\\mu}" : [ "parameter related to the action of the fundamental Hamiltonian on a lattice state", {
"Q1413083" : "parameter"
} ],
"\\gamma" : [ {
"Q245956" : "Immirzi parameter"
} ],
"G" : [ {
"Q18373" : "Gravitational constant"
} ],
"N" : [ {
"Q45315798" : "Lapse Function"
} ],
"\\bar{N}" : [ {
"Q45315914" : "Conformal time"
} ],
"\\bar{k}" : [ "Background variable related to curvature", { } ],
"a" : [ {
"Q1332997" : "Scale Factor"
} ],
"x" : [ {
"Q126017" : "Distance"
} ],
"c" : [ {
"Q2303886" : "index"
} ],
"d" : [ {
"Q2303886" : "index"
} ],
"e" : [ {
"Q2303886" : "index"
} ],
"f" : [ {
"Q2303886" : "index"
} ],
"j" : [ {
"Q2303886" : "index"
} ],
"k" : [ {
"Q2303886" : "index"
} ],
"\\bar{p}" : [ "square of a", { } ],
"\\Sigma" : [ "?", { } ],
"\\mathrm{d}^{3}" : [ {
"Q21092339" : "Symbol"
} ],
"\\delta" : [ {
"Q21092339" : "Symbol"
} ],
"\\delta_c^j" : [ {
"Q192826" : "Kronecker Delta"
} ]
},
"constraints" : [ "\\bar{p} = a^2" ],
"math_inputtex" : "H_{\\rm G}^{\\rm phen}[N]=\\frac{1}{16\\pi G}\\int_{\\Sigma}\\mathrm{d}^{3}x\\bar{N}% \\left[-6\\sqrt{\\bar{p}}\\left(\\frac{\\sin\\bar{\\mu}\\gamma\\bar{k}}{\\bar{\\mu}\\gamma}% \\right)^{2}-\\frac{1}{2\\bar{p}^{3/2}}\\left(\\frac{\\sin\\bar{\\mu}\\gamma\\bar{k}}{% \\bar{\\mu}\\gamma}\\right)^{2}(\\delta E^{c}_{j}\\delta E^{d}_{k}\\delta_{c}^{k}% \\delta_{d}^{j})+\\sqrt{\\bar{p}}(\\delta K_{c}^{j}\\delta K_{d}^{k}\\delta^{c}_{k}% \\delta^{d}_{j})-\\frac{2}{\\sqrt{\\bar{p}}}\\left(\\frac{\\sin m\\bar{\\mu}\\gamma\\bar{% k}}{m\\bar{\\mu}\\gamma}\\right)(\\delta E^{c}_{j}\\delta K_{c}^{j})+\\frac{1}{\\bar{p% }^{3/2}}(\\delta_{cd}\\delta^{jk}\\delta^{ef}\\partial_{e}E^{c}_{j}\\partial_{f}E^{% d}_{k})\\right]~{}.",
"math_inputtex_semantic" : "\\w{Q5645295}{H}_{\\rm \\w{Q18373}{G}}^{\\rm \\w{Q25303768}{phen}}[\\wf{Q45315798}{N}] = \\frac{1}{16\\pi G}\\int_{\\Sigma}\\mathrm{d}^{3}x\\bar{N}% \\left[-6\\sqrt{\\bar{p}}\\left(\\frac{\\sin\\bar{\\mu}\\gamma\\bar{k}}{\\bar{\\mu}\\gamma}% \\right)^{2}-\\frac{1}{2\\bar{p}^{3/2}}\\left(\\frac{\\sin\\bar{\\mu}\\gamma\\bar{k}}{% \\bar{\\mu}\\gamma}\\right)^{2}(\\delta E^{c}_{j}\\delta E^{d}_{k}\\delta_{c}^{k}% \\delta_{d}^{j})+\\sqrt{\\bar{p}}(\\delta K_{c}^{j}\\delta K_{d}^{k}\\delta^{c}_{k}% \\delta^{d}_{j})-\\frac{2}{\\sqrt{\\bar{p}}}\\left(\\frac{\\sin m\\bar{\\mu}\\gamma\\bar{% k}}{m\\bar{\\mu}\\gamma}\\right)(\\delta E^{c}_{j}\\delta K_{c}^{j})+\\frac{1}{\\bar{p% }^{3/2}}(\\delta_{cd}\\delta^{jk}\\delta^{ef}\\partial_{e}E^{c}_{j}\\partial_{f}E^{% d}_{k})\\right]~{}.",
"correct_tex" : "H_{\\rm G}^{\\rm phen}[N]=\\frac{1}{16\\pi G}\\int_{\\Sigma}\\mathrm{d}^{3}x\\bar{N}\\left[-6\\sqrt{\\bar{p}}\\left(\\frac{\\sin\\bar{\\mu}\\gamma\\bar{k}}{\\bar{\\mu}\\gamma}\\right)^{2}-\\frac{1}{2\\bar{p}^{3/2}}\\left(\\frac{\\sin\\bar{\\mu}\\gamma\\bar{k}}{\\bar{\\mu}\\gamma}\\right)^{2}(\\delta E^{c}_{j}\\delta E^{d}_{k}\\delta_{c}^{k}\\delta_{d}^{j})+\\sqrt{\\bar{p}}(\\delta K_{c}^{j}\\delta K_{d}^{k}\\delta^{c}_{k}\\delta^{d}_{j})-\\frac{2}{\\sqrt{\\bar{p}}}\\left(\\frac{\\sin m\\bar{\\mu}\\gamma\\bar{k}}{m\\bar{\\mu}\\gamma}\\right)(\\delta E^{c}_{j}\\delta K_{c}^{j})+\\frac{1}{\\bar{p}^{3/2}}(\\delta_{cd}\\delta^{jk}\\delta^{ef}\\partial_{e}E^{c}_{j}\\partial_{f}E^{d}_{k})\\right]~{}",
"correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"H_{\\rm G}^{\\rm phen}[N]=\\frac{1}{16\\pi G}\\int_{\\Sigma}\\mathrm{d}^{3}x\\bar{N}%&% #10;\\left[-6\\sqrt{\\bar{p}}\\left(\\frac{\\sin\\bar{\\mu}\\gamma\\bar{k}}{\\bar{\\mu}% \\gamma}%&#10;\\right)^{2}-\\frac{1}{2\\bar{p}^{3/2}}\\left(\\frac{\\sin\\bar{\\mu}% \\gamma\\bar{k}}{%&#10;\\bar{\\mu}\\gamma}\\right)^{2}(\\delta E^{c}_{j}\\delta E^{d}_% {k}\\delta_{c}^{k}%&#10;\\delta_{d}^{j})+\\sqrt{\\bar{p}}(\\delta K_{c}^{j}\\delta K% _{d}^{k}\\delta^{c}_{k}%&#10;\\delta^{d}_{j})-\\frac{2}{\\sqrt{\\bar{p}}}\\left(% \\frac{\\sin m\\bar{\\mu}\\gamma\\bar{%&#10;k}}{m\\bar{\\mu}\\gamma}\\right)(\\delta E^{c% }_{j}\\delta K_{c}^{j})+\\frac{1}{\\bar{p%&#10;}^{3/2}}(\\delta_{cd}\\delta^{jk}% \\delta^{ef}\\partial_{e}E^{c}_{j}\\partial_{f}E^{%&#10;d}_{k})\\right]~{}{}.\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <msubsup id=\"p1.1.m1.1.125\" 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xref=\"p1.1.m1.1.38.2.3.cmml\">γ</mi>\n <mo id=\"p1.1.m1.1.38.2.5.1a\" xref=\"p1.1.m1.1.38.2.5.1.cmml\"></mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.38.2.4\" xref=\"p1.1.m1.1.38.2.4.cmml\">\n <mi id=\"p1.1.m1.1.38.2.4.2\" xref=\"p1.1.m1.1.38.2.4.2.cmml\">k</mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.38.2.4.1\" xref=\"p1.1.m1.1.38.2.4.1.cmml\">¯</mo>\n </mover>\n </mrow>\n </mrow>\n <mrow id=\"p1.1.m1.1.38.3\" xref=\"p1.1.m1.1.38.3.9.cmml\">\n <mrow id=\"p1.1.m1.1.38.3.10\" xref=\"p1.1.m1.1.38.3.10.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.38.3.1\" xref=\"p1.1.m1.1.38.3.1.cmml\">%</mi>\n <mo id=\"p1.1.m1.1.38.3.10.1\" xref=\"p1.1.m1.1.38.3.10.1.cmml\"></mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.38.3.2\" xref=\"p1.1.m1.1.38.3.2.cmml\">&</mi>\n <mo id=\"p1.1.m1.1.38.3.10.1a\" xref=\"p1.1.m1.1.38.3.10.1.cmml\"></mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.38.3.3\" xref=\"p1.1.m1.1.38.3.3.cmml\">#</mi>\n <mo id=\"p1.1.m1.1.38.3.10.1b\" xref=\"p1.1.m1.1.38.3.10.1.cmml\"></mo>\n <mn id=\"p1.1.m1.1.38.3.5\" xref=\"p1.1.m1.1.38.3.5.cmml\">10</mn>\n </mrow>\n <mo id=\"p1.1.m1.1.38.3.6\" xref=\"p1.1.m1.1.38.3.9.cmml\">;</mo>\n <mrow id=\"p1.1.m1.1.38.3.11\" xref=\"p1.1.m1.1.38.3.11.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.38.3.7\" xref=\"p1.1.m1.1.38.3.7.cmml\">\n <mi id=\"p1.1.m1.1.38.3.7.2\" xref=\"p1.1.m1.1.38.3.7.2.cmml\">μ</mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.38.3.7.1\" xref=\"p1.1.m1.1.38.3.7.1.cmml\">¯</mo>\n </mover>\n <mo id=\"p1.1.m1.1.38.3.11.1\" xref=\"p1.1.m1.1.38.3.11.1.cmml\"></mo>\n <mi id=\"p1.1.m1.1.38.3.8\" xref=\"p1.1.m1.1.38.3.8.cmml\">γ</mi>\n </mrow>\n </mrow>\n </mfrac>\n <mo id=\"p1.1.m1.1.39\" xref=\"p1.1.m1.1.39.cmml\">)</mo>\n </mrow>\n <mn id=\"p1.1.m1.1.40.1\" xref=\"p1.1.m1.1.40.1.cmml\">2</mn>\n </msup>\n <mrow id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.41\" xref=\"p1.1.m1.1.41.cmml\">(</mo>\n <mi id=\"p1.1.m1.1.42\" xref=\"p1.1.m1.1.42.cmml\">δ</mi>\n <msubsup id=\"p1.1.m1.1.130\" xref=\"p1.1.m1.1.130.cmml\">\n <mi id=\"p1.1.m1.1.43\" xref=\"p1.1.m1.1.43.cmml\">E</mi>\n <mi id=\"p1.1.m1.1.45.1\" xref=\"p1.1.m1.1.45.1.cmml\">j</mi>\n <mi id=\"p1.1.m1.1.44.1\" xref=\"p1.1.m1.1.44.1.cmml\">c</mi>\n </msubsup>\n <mi id=\"p1.1.m1.1.46\" xref=\"p1.1.m1.1.46.cmml\">δ</mi>\n <msubsup id=\"p1.1.m1.1.131\" xref=\"p1.1.m1.1.131.cmml\">\n <mi id=\"p1.1.m1.1.47\" xref=\"p1.1.m1.1.47.cmml\">E</mi>\n <mi id=\"p1.1.m1.1.49.1\" xref=\"p1.1.m1.1.49.1.cmml\">k</mi>\n <mi id=\"p1.1.m1.1.48.1\" xref=\"p1.1.m1.1.48.1.cmml\">d</mi>\n </msubsup>\n <msubsup id=\"p1.1.m1.1.132\" xref=\"p1.1.m1.1.132.cmml\">\n <mi id=\"p1.1.m1.1.50\" xref=\"p1.1.m1.1.50.cmml\">δ</mi>\n <mi id=\"p1.1.m1.1.51.1\" xref=\"p1.1.m1.1.51.1.cmml\">c</mi>\n <mi id=\"p1.1.m1.1.52.1\" xref=\"p1.1.m1.1.52.1.cmml\">k</mi>\n </msubsup>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.53\" xref=\"p1.1.m1.1.53.cmml\">%</mi>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.54\" xref=\"p1.1.m1.1.54.cmml\">&</mi>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.55\" xref=\"p1.1.m1.1.55.cmml\">#</mi>\n <mn id=\"p1.1.m1.1.57\" xref=\"p1.1.m1.1.57.cmml\">10</mn>\n <mo id=\"p1.1.m1.1.58\" xref=\"p1.1.m1.1.58.cmml\">;</mo>\n <msubsup id=\"p1.1.m1.1.133\" xref=\"p1.1.m1.1.133.cmml\">\n <mi id=\"p1.1.m1.1.59\" xref=\"p1.1.m1.1.59.cmml\">δ</mi>\n <mi id=\"p1.1.m1.1.60.1\" xref=\"p1.1.m1.1.60.1.cmml\">d</mi>\n <mi id=\"p1.1.m1.1.61.1\" xref=\"p1.1.m1.1.61.1.cmml\">j</mi>\n </msubsup>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.62\" xref=\"p1.1.m1.1.62.cmml\">)</mo>\n </mrow>\n <mo id=\"p1.1.m1.1.63\" xref=\"p1.1.m1.1.63.cmml\">+</mo>\n <msqrt id=\"p1.1.m1.1.64\" xref=\"p1.1.m1.1.64.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.64.2\" xref=\"p1.1.m1.1.64.2.cmml\">\n <mi id=\"p1.1.m1.1.64.2.1.2\" xref=\"p1.1.m1.1.64.2.1.2.cmml\">p</mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.64.2.1.1\" xref=\"p1.1.m1.1.64.2.1.1.cmml\">¯</mo>\n </mover>\n </msqrt>\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.65\" xref=\"p1.1.m1.1.65.cmml\">(</mo>\n <mi id=\"p1.1.m1.1.66\" xref=\"p1.1.m1.1.66.cmml\">δ</mi>\n <msubsup id=\"p1.1.m1.1.134\" xref=\"p1.1.m1.1.134.cmml\">\n <mi id=\"p1.1.m1.1.67\" xref=\"p1.1.m1.1.67.cmml\">K</mi>\n <mi id=\"p1.1.m1.1.68.1\" xref=\"p1.1.m1.1.68.1.cmml\">c</mi>\n <mi id=\"p1.1.m1.1.69.1\" xref=\"p1.1.m1.1.69.1.cmml\">j</mi>\n </msubsup>\n <mi id=\"p1.1.m1.1.70\" xref=\"p1.1.m1.1.70.cmml\">δ</mi>\n <msubsup id=\"p1.1.m1.1.135\" xref=\"p1.1.m1.1.135.cmml\">\n <mi id=\"p1.1.m1.1.71\" xref=\"p1.1.m1.1.71.cmml\">K</mi>\n <mi id=\"p1.1.m1.1.72.1\" xref=\"p1.1.m1.1.72.1.cmml\">d</mi>\n <mi id=\"p1.1.m1.1.73.1\" xref=\"p1.1.m1.1.73.1.cmml\">k</mi>\n </msubsup>\n <msubsup id=\"p1.1.m1.1.136\" xref=\"p1.1.m1.1.136.cmml\">\n <mi id=\"p1.1.m1.1.74\" xref=\"p1.1.m1.1.74.cmml\">δ</mi>\n <mi id=\"p1.1.m1.1.76.1\" xref=\"p1.1.m1.1.76.1.cmml\">k</mi>\n <mi id=\"p1.1.m1.1.75.1\" xref=\"p1.1.m1.1.75.1.cmml\">c</mi>\n </msubsup>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.77\" xref=\"p1.1.m1.1.77.cmml\">%</mi>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.78\" xref=\"p1.1.m1.1.78.cmml\">&</mi>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.79\" xref=\"p1.1.m1.1.79.cmml\">#</mi>\n <mn id=\"p1.1.m1.1.81\" xref=\"p1.1.m1.1.81.cmml\">10</mn>\n <mo id=\"p1.1.m1.1.82\" xref=\"p1.1.m1.1.82.cmml\">;</mo>\n <msubsup id=\"p1.1.m1.1.137\" xref=\"p1.1.m1.1.137.cmml\">\n <mi id=\"p1.1.m1.1.83\" xref=\"p1.1.m1.1.83.cmml\">δ</mi>\n <mi id=\"p1.1.m1.1.85.1\" xref=\"p1.1.m1.1.85.1.cmml\">j</mi>\n <mi id=\"p1.1.m1.1.84.1\" xref=\"p1.1.m1.1.84.1.cmml\">d</mi>\n </msubsup>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.86\" xref=\"p1.1.m1.1.86.cmml\">)</mo>\n </mrow>\n <mo id=\"p1.1.m1.1.87\" xref=\"p1.1.m1.1.87.cmml\">-</mo>\n <mfrac id=\"p1.1.m1.1.88\" xref=\"p1.1.m1.1.88.cmml\">\n <mn id=\"p1.1.m1.1.88.2\" xref=\"p1.1.m1.1.88.2.cmml\">2</mn>\n <msqrt id=\"p1.1.m1.1.88.3\" xref=\"p1.1.m1.1.88.3.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.88.3.1.2\" xref=\"p1.1.m1.1.88.3.1.2.cmml\">\n <mi id=\"p1.1.m1.1.88.3.1.2.1.2\" xref=\"p1.1.m1.1.88.3.1.2.1.2.cmml\">p</mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.88.3.1.2.1.1\" xref=\"p1.1.m1.1.88.3.1.2.1.1.cmml\">¯</mo>\n </mover>\n </msqrt>\n </mfrac>\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <mo id=\"p1.1.m1.1.89\" xref=\"p1.1.m1.1.89.cmml\">(</mo>\n <mfrac id=\"p1.1.m1.1.90\" xref=\"p1.1.m1.1.90.cmml\">\n <mrow id=\"p1.1.m1.1.90.2\" xref=\"p1.1.m1.1.90.2.cmml\">\n <mi id=\"p1.1.m1.1.90.2.1.2\" xref=\"p1.1.m1.1.90.2.1.1.cmml\">sin</mi>\n <mo id=\"p1.1.m1.1.90.2a\" xref=\"p1.1.m1.1.90.2.cmml\"></mo>\n <mrow id=\"p1.1.m1.1.90.2.6\" xref=\"p1.1.m1.1.90.2.6.cmml\">\n <mi id=\"p1.1.m1.1.90.2.2\" xref=\"p1.1.m1.1.90.2.2.cmml\">m</mi>\n <mo id=\"p1.1.m1.1.90.2.6.1\" xref=\"p1.1.m1.1.90.2.6.1.cmml\"></mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.90.2.3\" xref=\"p1.1.m1.1.90.2.3.cmml\">\n <mi id=\"p1.1.m1.1.90.2.3.2\" xref=\"p1.1.m1.1.90.2.3.2.cmml\">μ</mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.90.2.3.1\" xref=\"p1.1.m1.1.90.2.3.1.cmml\">¯</mo>\n </mover>\n <mo id=\"p1.1.m1.1.90.2.6.1a\" xref=\"p1.1.m1.1.90.2.6.1.cmml\"></mo>\n <mi id=\"p1.1.m1.1.90.2.4\" xref=\"p1.1.m1.1.90.2.4.cmml\">γ</mi>\n <mo id=\"p1.1.m1.1.90.2.6.1b\" xref=\"p1.1.m1.1.90.2.6.1.cmml\"></mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.90.2.5\" xref=\"p1.1.m1.1.90.2.5.cmml\">\n <mrow id=\"p1.1.m1.1.90.2.5.2\" xref=\"p1.1.m1.1.90.2.5.2.8.cmml\">\n <mrow id=\"p1.1.m1.1.90.2.5.2.9\" xref=\"p1.1.m1.1.90.2.5.2.9.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.90.2.5.2.1\" xref=\"p1.1.m1.1.90.2.5.2.1.cmml\">%</mi>\n <mo id=\"p1.1.m1.1.90.2.5.2.9.1\" xref=\"p1.1.m1.1.90.2.5.2.9.1.cmml\"></mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.90.2.5.2.2\" xref=\"p1.1.m1.1.90.2.5.2.2.cmml\">&</mi>\n <mo id=\"p1.1.m1.1.90.2.5.2.9.1a\" xref=\"p1.1.m1.1.90.2.5.2.9.1.cmml\"></mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.90.2.5.2.3\" xref=\"p1.1.m1.1.90.2.5.2.3.cmml\">#</mi>\n <mo id=\"p1.1.m1.1.90.2.5.2.9.1b\" xref=\"p1.1.m1.1.90.2.5.2.9.1.cmml\"></mo>\n <mn id=\"p1.1.m1.1.90.2.5.2.5\" xref=\"p1.1.m1.1.90.2.5.2.5.cmml\">10</mn>\n </mrow>\n <mo id=\"p1.1.m1.1.90.2.5.2.6\" xref=\"p1.1.m1.1.90.2.5.2.8.cmml\">;</mo>\n <mi id=\"p1.1.m1.1.90.2.5.2.7\" xref=\"p1.1.m1.1.90.2.5.2.7.cmml\">k</mi>\n </mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.90.2.5.1\" xref=\"p1.1.m1.1.90.2.5.1.cmml\">¯</mo>\n </mover>\n </mrow>\n </mrow>\n <mrow id=\"p1.1.m1.1.90.3\" xref=\"p1.1.m1.1.90.3.cmml\">\n <mi id=\"p1.1.m1.1.90.3.1\" xref=\"p1.1.m1.1.90.3.1.cmml\">m</mi>\n <mo id=\"p1.1.m1.1.90.3.4\" xref=\"p1.1.m1.1.90.3.4.cmml\"></mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.90.3.2\" xref=\"p1.1.m1.1.90.3.2.cmml\">\n <mi id=\"p1.1.m1.1.90.3.2.2\" xref=\"p1.1.m1.1.90.3.2.2.cmml\">μ</mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.90.3.2.1\" xref=\"p1.1.m1.1.90.3.2.1.cmml\">¯</mo>\n </mover>\n <mo id=\"p1.1.m1.1.90.3.4a\" xref=\"p1.1.m1.1.90.3.4.cmml\"></mo>\n <mi id=\"p1.1.m1.1.90.3.3\" xref=\"p1.1.m1.1.90.3.3.cmml\">γ</mi>\n </mrow>\n </mfrac>\n <mo id=\"p1.1.m1.1.91\" xref=\"p1.1.m1.1.91.cmml\">)</mo>\n </mrow>\n <mrow id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.18.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.92\" xref=\"p1.1.m1.1.92.cmml\">(</mo>\n <mi id=\"p1.1.m1.1.93\" xref=\"p1.1.m1.1.93.cmml\">δ</mi>\n <msubsup id=\"p1.1.m1.1.138\" xref=\"p1.1.m1.1.138.cmml\">\n <mi id=\"p1.1.m1.1.94\" xref=\"p1.1.m1.1.94.cmml\">E</mi>\n <mi id=\"p1.1.m1.1.96.1\" xref=\"p1.1.m1.1.96.1.cmml\">j</mi>\n <mi id=\"p1.1.m1.1.95.1\" xref=\"p1.1.m1.1.95.1.cmml\">c</mi>\n </msubsup>\n <mi id=\"p1.1.m1.1.97\" xref=\"p1.1.m1.1.97.cmml\">δ</mi>\n <msubsup id=\"p1.1.m1.1.139\" xref=\"p1.1.m1.1.139.cmml\">\n <mi id=\"p1.1.m1.1.98\" xref=\"p1.1.m1.1.98.cmml\">K</mi>\n <mi id=\"p1.1.m1.1.99.1\" xref=\"p1.1.m1.1.99.1.cmml\">c</mi>\n <mi id=\"p1.1.m1.1.100.1\" xref=\"p1.1.m1.1.100.1.cmml\">j</mi>\n </msubsup>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.101\" xref=\"p1.1.m1.1.101.cmml\">)</mo>\n </mrow>\n <mo id=\"p1.1.m1.1.102\" xref=\"p1.1.m1.1.102.cmml\">+</mo>\n <mfrac id=\"p1.1.m1.1.103\" xref=\"p1.1.m1.1.103.cmml\">\n <mn id=\"p1.1.m1.1.103.2\" xref=\"p1.1.m1.1.103.2.cmml\">1</mn>\n <msup id=\"p1.1.m1.1.103.3\" xref=\"p1.1.m1.1.103.3.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.103.3.1\" xref=\"p1.1.m1.1.103.3.1.cmml\">\n <mrow id=\"p1.1.m1.1.103.3.1.2\" xref=\"p1.1.m1.1.103.3.1.2.cmml\">\n <mi id=\"p1.1.m1.1.103.3.1.2.1\" xref=\"p1.1.m1.1.103.3.1.2.1.cmml\">p</mi>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.103.3.1.2.2\" xref=\"p1.1.m1.1.103.3.1.2.2.cmml\">%</mi>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.103.3.1.2.3\" xref=\"p1.1.m1.1.103.3.1.2.3.cmml\">&</mi>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.103.3.1.2.4\" xref=\"p1.1.m1.1.103.3.1.2.4.cmml\">#</mi>\n <mn id=\"p1.1.m1.1.103.3.1.2.6\" xref=\"p1.1.m1.1.103.3.1.2.6.cmml\">10</mn>\n <mo id=\"p1.1.m1.1.103.3.1.2.7\" xref=\"p1.1.m1.1.103.3.1.2.7.cmml\">;</mo>\n </mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.103.3.1.1\" xref=\"p1.1.m1.1.103.3.1.1.cmml\">¯</mo>\n </mover>\n <mrow id=\"p1.1.m1.1.103.3.2.1\" xref=\"p1.1.m1.1.103.3.2.1.cmml\">\n <mn id=\"p1.1.m1.1.103.3.2.1.1\" xref=\"p1.1.m1.1.103.3.2.1.1.cmml\">3</mn>\n <mo id=\"p1.1.m1.1.103.3.2.1.2\" xref=\"p1.1.m1.1.103.3.2.1.2.cmml\">/</mo>\n <mn id=\"p1.1.m1.1.103.3.2.1.3\" xref=\"p1.1.m1.1.103.3.2.1.3.cmml\">2</mn>\n </mrow>\n </msup>\n </mfrac>\n <mrow id=\"p1.1.m1.1.30\" xref=\"p1.1.m1.1.30.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.104\" xref=\"p1.1.m1.1.104.cmml\">(</mo>\n <msub id=\"p1.1.m1.1.140\" xref=\"p1.1.m1.1.140.cmml\">\n <mi id=\"p1.1.m1.1.105\" xref=\"p1.1.m1.1.105.cmml\">δ</mi>\n <mrow id=\"p1.1.m1.1.106.1\" xref=\"p1.1.m1.1.106.1.cmml\">\n <mi id=\"p1.1.m1.1.106.1.1\" xref=\"p1.1.m1.1.106.1.1.cmml\">c</mi>\n <mo id=\"p1.1.m1.1.106.1.3\" xref=\"p1.1.m1.1.106.1.3.cmml\"></mo>\n <mi id=\"p1.1.m1.1.106.1.2\" 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xref=\"p1.1.m1.1.36.3.3.1.1\">3</cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.36.3.3.1.3.cmml\" xref=\"p1.1.m1.1.36.3.3.1.3\">2</cn>\n </apply>\n </apply>\n </apply>\n </apply>\n <apply id=\"p1.1.m1.1.129.cmml\" xref=\"p1.1.m1.1.129\">\n <power xmlns:m=\"http://www.w3.org/1998/Math/MathML\" xref=\"p1.1.m1.1.129\"/>\n <cerror id=\"p1.1.m1.1.129.2.cmml\" xref=\"p1.1.m1.1.129.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.129.2a.cmml\" xref=\"p1.1.m1.1.129.2\">fragments</csymbol>\n <ci id=\"p1.1.m1.1.37.cmml\" xref=\"p1.1.m1.1.37\">(</ci>\n <apply id=\"p1.1.m1.1.38.cmml\" xref=\"p1.1.m1.1.38\">\n <divide id=\"p1.1.m1.1.38.1.cmml\" xref=\"p1.1.m1.1.38\"/>\n <apply id=\"p1.1.m1.1.38.2.cmml\" xref=\"p1.1.m1.1.38.2\">\n <sin id=\"p1.1.m1.1.38.2.1.1.cmml\" xref=\"p1.1.m1.1.38.2.1.2\"/>\n <apply id=\"p1.1.m1.1.38.2.5.cmml\" xref=\"p1.1.m1.1.38.2.5\">\n <times id=\"p1.1.m1.1.38.2.5.1.cmml\" xref=\"p1.1.m1.1.38.2.5.1\"/>\n <apply id=\"p1.1.m1.1.38.2.2.cmml\" xref=\"p1.1.m1.1.38.2.2\">\n <ci 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xref=\"p1.1.m1.1.38.3.11\">\n <times id=\"p1.1.m1.1.38.3.11.1.cmml\" xref=\"p1.1.m1.1.38.3.11.1\"/>\n <apply id=\"p1.1.m1.1.38.3.7.cmml\" xref=\"p1.1.m1.1.38.3.7\">\n <ci id=\"p1.1.m1.1.38.3.7.1.cmml\" xref=\"p1.1.m1.1.38.3.7.1\">¯</ci>\n <ci id=\"p1.1.m1.1.38.3.7.2.cmml\" xref=\"p1.1.m1.1.38.3.7.2\">𝜇</ci>\n </apply>\n <ci id=\"p1.1.m1.1.38.3.8.cmml\" xref=\"p1.1.m1.1.38.3.8\">𝛾</ci>\n </apply>\n </list>\n </apply>\n <ci id=\"p1.1.m1.1.39.cmml\" xref=\"p1.1.m1.1.39\">)</ci>\n </cerror>\n <cn type=\"integer\" id=\"p1.1.m1.1.40.1.cmml\" xref=\"p1.1.m1.1.40.1\">2</cn>\n </apply>\n <cerror id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.3a.cmml\" xref=\"p1.1.m1.1.3\">fragments</csymbol>\n <ci id=\"p1.1.m1.1.41.cmml\" xref=\"p1.1.m1.1.41\">(</ci>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.42.cmml\" xref=\"p1.1.m1.1.42\">δ</csymbol>\n <apply id=\"p1.1.m1.1.130.cmml\" xref=\"p1.1.m1.1.130\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.130.1.cmml\" xref=\"p1.1.m1.1.130\">subscript</csymbol>\n <apply id=\"p1.1.m1.1.130.2.cmml\" xref=\"p1.1.m1.1.130\">\n <power xmlns:m=\"http://www.w3.org/1998/Math/MathML\" xref=\"p1.1.m1.1.130\"/>\n <ci id=\"p1.1.m1.1.43.cmml\" xref=\"p1.1.m1.1.43\">𝐸</ci>\n <ci id=\"p1.1.m1.1.44.1.cmml\" xref=\"p1.1.m1.1.44.1\">𝑐</ci>\n </apply>\n <ci id=\"p1.1.m1.1.45.1.cmml\" xref=\"p1.1.m1.1.45.1\">𝑗</ci>\n </apply>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.46.cmml\" xref=\"p1.1.m1.1.46\">δ</csymbol>\n <apply id=\"p1.1.m1.1.131.cmml\" xref=\"p1.1.m1.1.131\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.131.1.cmml\" xref=\"p1.1.m1.1.131\">subscript</csymbol>\n <apply id=\"p1.1.m1.1.131.2.cmml\" xref=\"p1.1.m1.1.131\">\n <power xmlns:m=\"http://www.w3.org/1998/Math/MathML\" xref=\"p1.1.m1.1.131\"/>\n <ci id=\"p1.1.m1.1.47.cmml\" xref=\"p1.1.m1.1.47\">𝐸</ci>\n <ci id=\"p1.1.m1.1.48.1.cmml\" xref=\"p1.1.m1.1.48.1\">𝑑</ci>\n </apply>\n <ci id=\"p1.1.m1.1.49.1.cmml\" xref=\"p1.1.m1.1.49.1\">𝑘</ci>\n </apply>\n <apply 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xmlns:m=\"http://www.w3.org/1998/Math/MathML\" xref=\"p1.1.m1.1.133\"/>\n <apply id=\"p1.1.m1.1.133.2.cmml\" xref=\"p1.1.m1.1.133\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.133.2.1.cmml\" xref=\"p1.1.m1.1.133\">subscript</csymbol>\n <ci id=\"p1.1.m1.1.59.cmml\" xref=\"p1.1.m1.1.59\">𝛿</ci>\n <ci id=\"p1.1.m1.1.60.1.cmml\" xref=\"p1.1.m1.1.60.1\">𝑑</ci>\n </apply>\n <ci id=\"p1.1.m1.1.61.1.cmml\" xref=\"p1.1.m1.1.61.1\">𝑗</ci>\n </apply>\n <ci id=\"p1.1.m1.1.62.cmml\" xref=\"p1.1.m1.1.62\">)</ci>\n </cerror>\n <plus id=\"p1.1.m1.1.63.cmml\" xref=\"p1.1.m1.1.63\"/>\n <apply id=\"p1.1.m1.1.64.cmml\" xref=\"p1.1.m1.1.64\">\n <root id=\"p1.1.m1.1.64a.cmml\" xref=\"p1.1.m1.1.64\"/>\n <apply id=\"p1.1.m1.1.64.2.cmml\" xref=\"p1.1.m1.1.64.2\">\n <ci id=\"p1.1.m1.1.64.2.1.1.cmml\" xref=\"p1.1.m1.1.64.2.1.1\">¯</ci>\n <ci id=\"p1.1.m1.1.64.2.1.2.cmml\" xref=\"p1.1.m1.1.64.2.1.2\">𝑝</ci>\n </apply>\n </apply>\n <cerror id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <csymbol cd=\"ambiguous\" 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