32.10: Difference between revisions

Latest revision as of 13:13, 28 June 2021

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
32.10.E2	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \alpha = n+\tfrac{1}{2}} `\alpha = n+\tfrac{1}{2}`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	alpha = n +(1)/(2)	\[Alpha] == n +Divide[1,2]	Skipped - no semantic math	Skipped - no semantic math	-	-
32.10.E5	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi(z) = C_{1}\AiryAi@{-2^{-1/3}z}+C_{2}\AiryBi@{-2^{-1/3}z}} `\phi(z) = C_{1}\AiryAi@{-2^{-1/3}z}+C_{2}\AiryBi@{-2^{-1/3}z}`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	phi(z) = C[1]AiryAi(- (2)^(- 1/3) z)+ C[2]AiryBi(- (2)^(- 1/3) z)	\[Phi][z] == Subscript[C, 1]AiryAi[- (2)^(- 1/3) z]+ Subscript[C, 2]AiryBi[- (2)^(- 1/3) z]	Failure	Failure	Failed [300 / 300] Result: -.2986692739+.5787509238I Test Values: {phi = 1/23^(1/2)+1/2I, z = 1/23^(1/2)+1/2I, C[1] = 1/23^(1/2)+1/2I, C[2] = 1/23^(1/2)+1/2I} Result: .3018910357e-1+.1740730853I Test Values: {phi = 1/23^(1/2)+1/2I, z = 1/23^(1/2)+1/2I, C[1] = 1/23^(1/2)+1/2I, C[2] = -1/2+1/2I3^(1/2)} ... skip entries to safe data	Failed [300 / 300] Result: Complex[-0.29866927421000106, 0.5787509234724151] Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ϕ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[C, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[C, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: Complex[0.03018910341830547, 0.174073084997731] Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ϕ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[C, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[C, 2], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]} ... skip entries to safe data
32.10.E6	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w(z;\tfrac{3}{2}) = \Phi-\dfrac{1}{2\Phi^{2}+z}} `w(z;\tfrac{3}{2}) = \Phi-\dfrac{1}{2\Phi^{2}+z}`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	w(z ;(3)/(2)) = Phi -(1)/(2*(Phi)^(2)+ z)	w[z ;Divide[3,2]] == \[CapitalPhi]-Divide[1,2*\[CapitalPhi]^(2)+ z]	Skipped - no semantic math	Skipped - no semantic math	-	-
32.10.E7	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w(z;\tfrac{5}{2}) = \dfrac{1}{2\Phi^{2}+z}+\dfrac{2z\Phi^{2}+\Phi+z^{2}}{4\Phi^{3}+2z\Phi-1}} `w(z;\tfrac{5}{2}) = \dfrac{1}{2\Phi^{2}+z}+\dfrac{2z\Phi^{2}+\Phi+z^{2}}{4\Phi^{3}+2z\Phi-1}`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	w(z ;(5)/(2)) = (1)/(2(Phi)^(2)+ z)+(2z(Phi)^(2)+ Phi + (z)^(2))/(4(Phi)^(3)+ 2zPhi - 1)	w[z ;Divide[5,2]] == Divide[1,2\[CapitalPhi]^(2)+ z]+Divide[2z\[CapitalPhi]^(2)+ \[CapitalPhi]+ (z)^(2),4\[CapitalPhi]^(3)+ 2z\[CapitalPhi]- 1]	Skipped - no semantic math	Skipped - no semantic math	-	-
32.10.E8	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w(z;n+\tfrac{1}{2}) = \deriv{}{z}\left(\ln@{\frac{\tau_{n}(z)}{\tau_{n+1}(z)}}\right)} `w(z;n+\tfrac{1}{2}) = \deriv{}{z}\left(\ln@{\frac{\tau_{n}(z)}{\tau_{n+1}(z)}}\right)`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	w(z ; n +(1)/(2)) = diff(ln((tau[n](z))/(tau[n + 1](z))), z)	w[z ; n +Divide[1,2]] == D[Log[Divide[Subscript[\[Tau], n][z],Subscript[\[Tau], n + 1][z]]], z]	Translation Error	Translation Error	-	-
32.10.E10	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w(z;-n-\tfrac{1}{2}) = -w(z;n+\tfrac{1}{2})} `w(z;-n-\tfrac{1}{2}) = -w(z;n+\tfrac{1}{2})`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	w(z ; - n -(1)/(2)) = - w(z ; n +(1)/(2))	w[z ; - n -Divide[1,2]] == - w[z ; n +Divide[1,2]]	Skipped - no semantic math	Skipped - no semantic math	-	-
32.10.E11	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \varepsilon_{1}\alpha+\varepsilon_{2}\beta = 4n+2} `\varepsilon_{1}\alpha+\varepsilon_{2}\beta = 4n+2`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	varepsilon[1]alpha + varepsilon[2]beta = 4*n + 2	Subscript[\[CurlyEpsilon], 1]\[Alpha]+ Subscript[\[CurlyEpsilon], 2]\[Beta] == 4*n + 2	Skipped - no semantic math	Skipped - no semantic math	-	-
32.10.E14	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi(z) = z^{\nu}\left(C_{1}\BesselJ{\nu}@{\zeta}+C_{2}\BesselY{\nu}@{\zeta}\right)} `\phi(z) = z^{\nu}\left(C_{1}\BesselJ{\nu}@{\zeta}+C_{2}\BesselY{\nu}@{\zeta}\right)`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(\nu+k+1)} > 0, \realpart@@{((-\nu)+k+1)} > 0}	phi(z) = (z)^(nu)(C[1]BesselJ(nu, zeta)+ C[2]*BesselY(nu, zeta))	\[Phi][z] == (z)^\[Nu](Subscript[C, 1]BesselJ[\[Nu], \[Zeta]]+ Subscript[C, 2]*BesselY[\[Nu], \[Zeta]])	Failure	Failure	Failed [300 / 300] Result: .6857713611+1.049278090I Test Values: {nu = 1/23^(1/2)+1/2I, phi = 1/23^(1/2)+1/2I, z = 1/23^(1/2)+1/2I, zeta = 1/23^(1/2)+1/2I, C[1] = 1/23^(1/2)+1/2I, C[2] = 1/23^(1/2)+1/2I} Result: -.1639325500+1.038275666I Test Values: {nu = 1/23^(1/2)+1/2I, phi = 1/23^(1/2)+1/2I, z = 1/23^(1/2)+1/2I, zeta = 1/23^(1/2)+1/2I, C[1] = 1/23^(1/2)+1/2I, C[2] = -1/2+1/2I3^(1/2)} ... skip entries to safe data	Failed [300 / 300] Result: Complex[0.6857713606630202, 1.0492780901981935] Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ζ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ν, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ϕ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[C, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[C, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: Complex[-0.16393255022963316, 1.0382756660889538] Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ζ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ν, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ϕ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[C, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[C, 2], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]} ... skip entries to safe data
32.10.E15	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \beta = -2(2n+1+\varepsilon\alpha)^{2}} `\beta = -2(2n+1+\varepsilon\alpha)^{2}`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	beta = - 2(2n + 1 + varepsilon*alpha)^(2)	\[Beta] == - 2(2n + 1 + \[CurlyEpsilon]*\[Alpha])^(2)	Skipped - no semantic math	Skipped - no semantic math	-	-
32.10.E16	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \beta = -2n^{2}} `\beta = -2n^{2}`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	beta = - 2*(n)^(2)	\[Beta] == - 2*(n)^(2)	Skipped - no semantic math	Skipped - no semantic math	-	-
32.10.E19	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi(z) = \left(C_{1}\paraU@{a}{\sqrt{2}z}+C_{2}\paraV@{a}{\sqrt{2}z}\right)\exp@{\tfrac{1}{2}\varepsilon z^{2}}} `\phi(z) = \left(C_{1}\paraU@{a}{\sqrt{2}z}+C_{2}\paraV@{a}{\sqrt{2}z}\right)\exp@{\tfrac{1}{2}\varepsilon z^{2}}`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	phi(z) = (C[1]CylinderU(a, sqrt(2)z)+ C[2]CylinderV(a, sqrt(2)z))exp((1)/(2)varepsilon*(z)^(2))	\[Phi][z] == (Subscript[C, 1]ParabolicCylinderD[- 1/2 -(a), Sqrt[2]z]+ Subscript[C, 2]Divide[GAMMA[1/2 + a], Pi](Sin[Pi(a)] ParabolicCylinderD[-(a) - 1/2, Sqrt[2]z] + ParabolicCylinderD[-(a) - 1/2, -(Sqrt[2]z)]))Exp[Divide[1,2]\[CurlyEpsilon]*(z)^(2)]	Failure	Failure	Failed [300 / 300] Result: .6213533818-.8057984780I Test Values: {a = -3/2, phi = 1/23^(1/2)+1/2I, z = 1/23^(1/2)+1/2I, C[1] = 1/23^(1/2)+1/2I, C[2] = 1/23^(1/2)+1/2I, varepsilon = 1} Result: 1.542195596-1.017130546I Test Values: {a = -3/2, phi = 1/23^(1/2)+1/2I, z = 1/23^(1/2)+1/2I, C[1] = 1/23^(1/2)+1/2I, C[2] = 1/23^(1/2)+1/2I, varepsilon = 2} ... skip entries to safe data	Failed [300 / 300] Result: Plus[Complex[0.5000000000000001, 0.8660254037844386], Times[Complex[-1.165517214154348, -0.5387865015105858], Plus[Complex[0.9001043151387932, 0.6347232005321619], Times[Complex[-6.562724044143109^-17, -2.768827103772538^-17], GAMMA[-1.0]]]]] Test Values: {Rule[a, -1.5], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ε, 1], Rule[ϕ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[C, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[C, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: Plus[Complex[0.5000000000000001, 0.8660254037844386], Times[Complex[-1.0681394822800956, -1.2559298845291706], Plus[Complex[0.9001043151387932, 0.6347232005321619], Times[Complex[-6.562724044143109^-17, -2.768827103772538^-17], GAMMA[-1.0]]]]] Test Values: {Rule[a, -1.5], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ε, 2], Rule[ϕ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[C, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[C, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} ... skip entries to safe data
32.10.E20	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w(z;-m,-2(m-1)^{2}) = -\frac{\HermitepolyH{m-1}'@{z}}{\HermitepolyH{m-1}@{z}}} `w(z;-m,-2(m-1)^{2}) = -\frac{\HermitepolyH{m-1}'@{z}}{\HermitepolyH{m-1}@{z}}`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	w(z ; - m , - 2*(m - 1)^(2)) = -(diff( HermiteH(m - 1, z), z$(1) ))/(HermiteH(m - 1, z))	w[z ; - m , - 2*(m - 1)^(2)] == -Divide[D[HermiteH[m - 1, z], {z, 1}],HermiteH[m - 1, z]]	Translation Error	Translation Error	-	-
32.10.E21	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w(z;-m,-2(m+1)^{2}) = -2z+\frac{\HermitepolyH{m}'@{z}}{\HermitepolyH{m}@{z}}} `w(z;-m,-2(m+1)^{2}) = -2z+\frac{\HermitepolyH{m}'@{z}}{\HermitepolyH{m}@{z}}`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	w(z ; - m , - 2(m + 1)^(2)) = - 2z +(diff( HermiteH(m, z), z$(1) ))/(HermiteH(m, z))	w[z ; - m , - 2(m + 1)^(2)] == - 2z +Divide[D[HermiteH[m, z], {z, 1}],HermiteH[m, z]]	Translation Error	Translation Error	-	-
32.10.E23	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a+b+\varepsilon_{3}\gamma = 2n+1} `a+b+\varepsilon_{3}\gamma = 2n+1`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	a + b + varepsilon[3]gamma = 2n + 1	a + b + Subscript[\[CurlyEpsilon], 3]\[Gamma] == 2n + 1	Skipped - no semantic math	Skipped - no semantic math	-	-
32.10.E24	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (a-n)(b-n) = 0} `(a-n)(b-n) = 0`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	(a - n)*(b - n) = 0	(a - n)*(b - n) == 0	Skipped - no semantic math	Skipped - no semantic math	-	-
32.10.E27	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi(z) = \frac{C_{1}\WhittakerconfhyperM{\kappa}{\mu}@{\zeta}+C_{2}\WhittakerconfhyperW{\kappa}{\mu}@{\zeta}}{\zeta^{(a-b+1)/2}}\exp@{\tfrac{1}{2}\zeta}} `\phi(z) = \frac{C_{1}\WhittakerconfhyperM{\kappa}{\mu}@{\zeta}+C_{2}\WhittakerconfhyperW{\kappa}{\mu}@{\zeta}}{\zeta^{(a-b+1)/2}}\exp@{\tfrac{1}{2}\zeta}`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	phi(z) = (C[1]WhittakerM(kappa, mu, zeta)+ C[2]WhittakerW(kappa, mu, zeta))/((zeta)^((a - b + 1)/2))exp((1)/(2)zeta)	\[Phi][z] == Divide[Subscript[C, 1]WhittakerM[\[Kappa], \[Mu], \[Zeta]]+ Subscript[C, 2]WhittakerW[\[Kappa], \[Mu], \[Zeta]],\[Zeta]^((a - b + 1)/2)]Exp[Divide[1,2]\[Zeta]]	Failure	Failure	Manual Skip!	Skipped - Because timed out
32.10.E28	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a+b+c+d = 2n+1} `a+b+c+d = 2n+1`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	a + b + c + d = 2*n + 1	a + b + c + d == 2*n + 1	Skipped - no semantic math	Skipped - no semantic math	-	-
32.10#Ex2	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \zeta = \frac{1}{1-z}} `\zeta = \frac{1}{1-z}`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	zeta = (1)/(1 - z)	\[Zeta] == Divide[1,1 - z]	Skipped - no semantic math	Skipped - no semantic math	-	-
32.10.E31	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi(\zeta) = C_{1}\hyperF@{b}{-a}{b+c}{\zeta}+C_{2}\zeta^{-b+1-c}\\hyperF@{-a-b-c+1}{-c+1}{2-b-c}{\zeta}} `\phi(\zeta) = C_{1}\hyperF@{b}{-a}{b+c}{\zeta}+C_{2}\zeta^{-b+1-c}\\hyperF@{-a-b-c+1}{-c+1}{2-b-c}{\zeta}`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	phi(zeta) = C[1]hypergeom([b, - a], [b + c], zeta)+ C[2](zeta)^(- b + 1 - c)* hypergeom([- a - b - c + 1, - c + 1], [2 - b - c], zeta)	\[Phi][\[Zeta]] == Subscript[C, 1]Hypergeometric2F1[b, - a, b + c, \[Zeta]]+ Subscript[C, 2]\[Zeta]^(- b + 1 - c)* Hypergeometric2F1[- a - b - c + 1, - c + 1, 2 - b - c, \[Zeta]]	Failure	Failure	Failed [300 / 300] Result: Float(infinity)+Float(infinity)I Test Values: {a = -3/2, b = -3/2, c = -3/2, phi = 1/23^(1/2)+1/2I, zeta = 1/23^(1/2)+1/2I, C[1] = 1/23^(1/2)+1/2I, C[2] = 1/23^(1/2)+1/2I} Result: Float(infinity)+Float(infinity)I Test Values: {a = -3/2, b = -3/2, c = -3/2, phi = 1/23^(1/2)+1/2I, zeta = 1/23^(1/2)+1/2I, C[1] = 1/23^(1/2)+1/2I, C[2] = -1/2+1/2I3^(1/2)} ... skip entries to safe data	Skipped - Because timed out
32.10.E32	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle u = \int_{0}^{\Lambda}\frac{\diff{t}}{\sqrt{t(t-1)(t-z)}}} `u = \int_{0}^{\Lambda}\frac{\diff{t}}{\sqrt{t(t-1)(t-z)}}`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	u = int((1)/(sqrt(t(t - 1)(t - z))), t = 0..Lambda)	u == Integrate[Divide[1,Sqrt[t(t - 1)(t - z)]], {t, 0, \[CapitalLambda]}, GenerateConditions->None]	Failure	Aborted	Skipped - Because timed out	Skipped - Because timed out
32.10.E33	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z(1-z)\deriv[2]{\phi}{z}+(1-2z)\deriv{\phi}{z}-\tfrac{1}{4}\phi = 0} `z(1-z)\deriv[2]{\phi}{z}+(1-2z)\deriv{\phi}{z}-\tfrac{1}{4}\phi = 0`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	z(1 - z)diff(phi, [z$(2)])+(1 - 2z)diff(phi, z)-(1)/(4)*phi = 0	z(1 - z)D[\[Phi], {z, 2}]+(1 - 2z)D[\[Phi], z]-Divide[1,4]*\[Phi] == 0	Failure	Failure	Failed [70 / 70] Result: -.2165063510-.1250000000I Test Values: {phi = 1/23^(1/2)+1/2I, z = 1/23^(1/2)+1/2I} Result: -.2165063510-.1250000000I Test Values: {phi = 1/23^(1/2)+1/2I, z = -1/2+1/2I3^(1/2)} ... skip entries to safe data	Failed [70 / 70] Result: Complex[-0.21650635094610968, -0.12499999999999999] Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ϕ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: Complex[0.12499999999999994, -0.21650635094610968] Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ϕ, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]} ... skip entries to safe data
32.10.E34	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w(z;0,0,0,\tfrac{1}{2}) = \Lambda(C_{1}\phi_{1}+C_{2}\phi_{2},z)} `w(z;0,0,0,\tfrac{1}{2}) = \Lambda(C_{1}\phi_{1}+C_{2}\phi_{2},z)`	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	w(z ; 0 , 0 , 0 ,(1)/(2)) = Lambda(C[1]phi[1]+ C[2]phi[2], z)	w[z ; 0 , 0 , 0 ,Divide[1,2]] == \[CapitalLambda][Subscript[C, 1]Subscript[\[Phi], 1]+ Subscript[C, 2]Subscript[\[Phi], 2], z]	Skipped - no semantic math	Skipped - no semantic math	-	-

@@ Line 14: / Line 14: @@
 ! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.10.E2 32.10.E2] || [[Item:Q9402|<math>\alpha = n+\tfrac{1}{2}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\alpha = n+\tfrac{1}{2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">alpha = n +(1)/(2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">\[Alpha] == n +Divide[1,2]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.10.E2 32.10.E2] || <math qid="Q9402">\alpha = n+\tfrac{1}{2}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\alpha = n+\tfrac{1}{2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">alpha = n +(1)/(2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">\[Alpha] == n +Divide[1,2]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |-
-| [https://dlmf.nist.gov/32.10.E5 32.10.E5] || [[Item:Q9405|<math>\phi(z) = C_{1}\AiryAi@{-2^{-1/3}z}+C_{2}\AiryBi@{-2^{-1/3}z}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\phi(z) = C_{1}\AiryAi@{-2^{-1/3}z}+C_{2}\AiryBi@{-2^{-1/3}z}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>phi(z) = C[1]*AiryAi(- (2)^(- 1/3)* z)+ C[2]*AiryBi(- (2)^(- 1/3)* z)</syntaxhighlight> || <syntaxhighlight lang=mathematica>\[Phi][z] == Subscript[C, 1]*AiryAi[- (2)^(- 1/3)* z]+ Subscript[C, 2]*AiryBi[- (2)^(- 1/3)* z]</syntaxhighlight> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Failed [300 / 300]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: -.2986692739+.5787509238*I
+| [https://dlmf.nist.gov/32.10.E5 32.10.E5] || <math qid="Q9405">\phi(z) = C_{1}\AiryAi@{-2^{-1/3}z}+C_{2}\AiryBi@{-2^{-1/3}z}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\phi(z) = C_{1}\AiryAi@{-2^{-1/3}z}+C_{2}\AiryBi@{-2^{-1/3}z}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>phi(z) = C[1]*AiryAi(- (2)^(- 1/3)* z)+ C[2]*AiryBi(- (2)^(- 1/3)* z)</syntaxhighlight> || <syntaxhighlight lang=mathematica>\[Phi][z] == Subscript[C, 1]*AiryAi[- (2)^(- 1/3)* z]+ Subscript[C, 2]*AiryBi[- (2)^(- 1/3)* z]</syntaxhighlight> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Failed [300 / 300]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: -.2986692739+.5787509238*I
 Test Values: {phi = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I, C[1] = 1/2*3^(1/2)+1/2*I, C[2] = 1/2*3^(1/2)+1/2*I}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: .3018910357e-1+.1740730853*I
 Test Values: {phi = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I, C[1] = 1/2*3^(1/2)+1/2*I, C[2] = -1/2+1/2*I*3^(1/2)}</syntaxhighlight><br>... skip entries to safe data</div></div> || <div class="toccolours mw-collapsible mw-collapsed">Failed [300 / 300]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: Complex[-0.29866927421000106, 0.5787509234724151]
@@ Line 22: / Line 22: @@
 Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ϕ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[C, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[C, 2], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}</syntaxhighlight><br>... skip entries to safe data</div></div>
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.10.E6 32.10.E6] || [[Item:Q9406|<math>w(z;\tfrac{3}{2}) = \Phi-\dfrac{1}{2\Phi^{2}+z}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z;\tfrac{3}{2}) = \Phi-\dfrac{1}{2\Phi^{2}+z}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z ;(3)/(2)) = Phi -(1)/(2*(Phi)^(2)+ z)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z ;Divide[3,2]] == \[CapitalPhi]-Divide[1,2*\[CapitalPhi]^(2)+ z]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.10.E6 32.10.E6] || <math qid="Q9406">w(z;\tfrac{3}{2}) = \Phi-\dfrac{1}{2\Phi^{2}+z}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z;\tfrac{3}{2}) = \Phi-\dfrac{1}{2\Phi^{2}+z}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z ;(3)/(2)) = Phi -(1)/(2*(Phi)^(2)+ z)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z ;Divide[3,2]] == \[CapitalPhi]-Divide[1,2*\[CapitalPhi]^(2)+ z]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.10.E7 32.10.E7] || [[Item:Q9407|<math>w(z;\tfrac{5}{2}) = \dfrac{1}{2\Phi^{2}+z}+\dfrac{2z\Phi^{2}+\Phi+z^{2}}{4\Phi^{3}+2z\Phi-1}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z;\tfrac{5}{2}) = \dfrac{1}{2\Phi^{2}+z}+\dfrac{2z\Phi^{2}+\Phi+z^{2}}{4\Phi^{3}+2z\Phi-1}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z ;(5)/(2)) = (1)/(2*(Phi)^(2)+ z)+(2*z*(Phi)^(2)+ Phi + (z)^(2))/(4*(Phi)^(3)+ 2*z*Phi - 1)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z ;Divide[5,2]] == Divide[1,2*\[CapitalPhi]^(2)+ z]+Divide[2*z*\[CapitalPhi]^(2)+ \[CapitalPhi]+ (z)^(2),4*\[CapitalPhi]^(3)+ 2*z*\[CapitalPhi]- 1]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.10.E7 32.10.E7] || <math qid="Q9407">w(z;\tfrac{5}{2}) = \dfrac{1}{2\Phi^{2}+z}+\dfrac{2z\Phi^{2}+\Phi+z^{2}}{4\Phi^{3}+2z\Phi-1}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z;\tfrac{5}{2}) = \dfrac{1}{2\Phi^{2}+z}+\dfrac{2z\Phi^{2}+\Phi+z^{2}}{4\Phi^{3}+2z\Phi-1}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z ;(5)/(2)) = (1)/(2*(Phi)^(2)+ z)+(2*z*(Phi)^(2)+ Phi + (z)^(2))/(4*(Phi)^(3)+ 2*z*Phi - 1)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z ;Divide[5,2]] == Divide[1,2*\[CapitalPhi]^(2)+ z]+Divide[2*z*\[CapitalPhi]^(2)+ \[CapitalPhi]+ (z)^(2),4*\[CapitalPhi]^(3)+ 2*z*\[CapitalPhi]- 1]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |-
-| [https://dlmf.nist.gov/32.10.E8 32.10.E8] || [[Item:Q9408|<math>w(z;n+\tfrac{1}{2}) = \deriv{}{z}\left(\ln@{\frac{\tau_{n}(z)}{\tau_{n+1}(z)}}\right)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>w(z;n+\tfrac{1}{2}) = \deriv{}{z}\left(\ln@{\frac{\tau_{n}(z)}{\tau_{n+1}(z)}}\right)</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>w(z ; n +(1)/(2)) = diff(ln((tau[n](z))/(tau[n + 1](z))), z)</syntaxhighlight> || <syntaxhighlight lang=mathematica>w[z ; n +Divide[1,2]] == D[Log[Divide[Subscript[\[Tau], n][z],Subscript[\[Tau], n + 1][z]]], z]</syntaxhighlight> || Translation Error || Translation Error || - || -
+| [https://dlmf.nist.gov/32.10.E8 32.10.E8] || <math qid="Q9408">w(z;n+\tfrac{1}{2}) = \deriv{}{z}\left(\ln@{\frac{\tau_{n}(z)}{\tau_{n+1}(z)}}\right)</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>w(z;n+\tfrac{1}{2}) = \deriv{}{z}\left(\ln@{\frac{\tau_{n}(z)}{\tau_{n+1}(z)}}\right)</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>w(z ; n +(1)/(2)) = diff(ln((tau[n](z))/(tau[n + 1](z))), z)</syntaxhighlight> || <syntaxhighlight lang=mathematica>w[z ; n +Divide[1,2]] == D[Log[Divide[Subscript[\[Tau], n][z],Subscript[\[Tau], n + 1][z]]], z]</syntaxhighlight> || Translation Error || Translation Error || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.10.E10 32.10.E10] || [[Item:Q9410|<math>w(z;-n-\tfrac{1}{2}) = -w(z;n+\tfrac{1}{2})</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z;-n-\tfrac{1}{2}) = -w(z;n+\tfrac{1}{2})</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z ; - n -(1)/(2)) = - w(z ; n +(1)/(2))</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z ; - n -Divide[1,2]] == - w[z ; n +Divide[1,2]]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.10.E10 32.10.E10] || <math qid="Q9410">w(z;-n-\tfrac{1}{2}) = -w(z;n+\tfrac{1}{2})</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z;-n-\tfrac{1}{2}) = -w(z;n+\tfrac{1}{2})</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z ; - n -(1)/(2)) = - w(z ; n +(1)/(2))</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z ; - n -Divide[1,2]] == - w[z ; n +Divide[1,2]]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.10.E11 32.10.E11] || [[Item:Q9411|<math>\varepsilon_{1}\alpha+\varepsilon_{2}\beta = 4n+2</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\varepsilon_{1}\alpha+\varepsilon_{2}\beta = 4n+2</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">varepsilon[1]*alpha + varepsilon[2]*beta = 4*n + 2</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[\[CurlyEpsilon], 1]*\[Alpha]+ Subscript[\[CurlyEpsilon], 2]*\[Beta] == 4*n + 2</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.10.E11 32.10.E11] || <math qid="Q9411">\varepsilon_{1}\alpha+\varepsilon_{2}\beta = 4n+2</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\varepsilon_{1}\alpha+\varepsilon_{2}\beta = 4n+2</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">varepsilon[1]*alpha + varepsilon[2]*beta = 4*n + 2</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[\[CurlyEpsilon], 1]*\[Alpha]+ Subscript[\[CurlyEpsilon], 2]*\[Beta] == 4*n + 2</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |-
-| [https://dlmf.nist.gov/32.10.E14 32.10.E14] || [[Item:Q9414|<math>\phi(z) = z^{\nu}\left(C_{1}\BesselJ{\nu}@{\zeta}+C_{2}\BesselY{\nu}@{\zeta}\right)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\phi(z) = z^{\nu}\left(C_{1}\BesselJ{\nu}@{\zeta}+C_{2}\BesselY{\nu}@{\zeta}\right)</syntaxhighlight> || <math>\realpart@@{(\nu+k+1)} > 0, \realpart@@{((-\nu)+k+1)} > 0</math> || <syntaxhighlight lang=mathematica>phi(z) = (z)^(nu)*(C[1]*BesselJ(nu, zeta)+ C[2]*BesselY(nu, zeta))</syntaxhighlight> || <syntaxhighlight lang=mathematica>\[Phi][z] == (z)^\[Nu]*(Subscript[C, 1]*BesselJ[\[Nu], \[Zeta]]+ Subscript[C, 2]*BesselY[\[Nu], \[Zeta]])</syntaxhighlight> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Failed [300 / 300]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: .6857713611+1.049278090*I
+| [https://dlmf.nist.gov/32.10.E14 32.10.E14] || <math qid="Q9414">\phi(z) = z^{\nu}\left(C_{1}\BesselJ{\nu}@{\zeta}+C_{2}\BesselY{\nu}@{\zeta}\right)</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\phi(z) = z^{\nu}\left(C_{1}\BesselJ{\nu}@{\zeta}+C_{2}\BesselY{\nu}@{\zeta}\right)</syntaxhighlight> || <math>\realpart@@{(\nu+k+1)} > 0, \realpart@@{((-\nu)+k+1)} > 0</math> || <syntaxhighlight lang=mathematica>phi(z) = (z)^(nu)*(C[1]*BesselJ(nu, zeta)+ C[2]*BesselY(nu, zeta))</syntaxhighlight> || <syntaxhighlight lang=mathematica>\[Phi][z] == (z)^\[Nu]*(Subscript[C, 1]*BesselJ[\[Nu], \[Zeta]]+ Subscript[C, 2]*BesselY[\[Nu], \[Zeta]])</syntaxhighlight> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Failed [300 / 300]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: .6857713611+1.049278090*I
 Test Values: {nu = 1/2*3^(1/2)+1/2*I, phi = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I, zeta = 1/2*3^(1/2)+1/2*I, C[1] = 1/2*3^(1/2)+1/2*I, C[2] = 1/2*3^(1/2)+1/2*I}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: -.1639325500+1.038275666*I
 Test Values: {nu = 1/2*3^(1/2)+1/2*I, phi = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I, zeta = 1/2*3^(1/2)+1/2*I, C[1] = 1/2*3^(1/2)+1/2*I, C[2] = -1/2+1/2*I*3^(1/2)}</syntaxhighlight><br>... skip entries to safe data</div></div> || <div class="toccolours mw-collapsible mw-collapsed">Failed [300 / 300]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: Complex[0.6857713606630202, 1.0492780901981935]
@@ Line 38: / Line 38: @@
 Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ζ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ν, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ϕ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[C, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[C, 2], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}</syntaxhighlight><br>... skip entries to safe data</div></div>
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.10.E15 32.10.E15] || [[Item:Q9415|<math>\beta = -2(2n+1+\varepsilon\alpha)^{2}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\beta = -2(2n+1+\varepsilon\alpha)^{2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">beta = - 2*(2*n + 1 + varepsilon*alpha)^(2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">\[Beta] == - 2*(2*n + 1 + \[CurlyEpsilon]*\[Alpha])^(2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.10.E15 32.10.E15] || <math qid="Q9415">\beta = -2(2n+1+\varepsilon\alpha)^{2}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\beta = -2(2n+1+\varepsilon\alpha)^{2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">beta = - 2*(2*n + 1 + varepsilon*alpha)^(2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">\[Beta] == - 2*(2*n + 1 + \[CurlyEpsilon]*\[Alpha])^(2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.10.E16 32.10.E16] || [[Item:Q9416|<math>\beta = -2n^{2}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\beta = -2n^{2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">beta = - 2*(n)^(2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">\[Beta] == - 2*(n)^(2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.10.E16 32.10.E16] || <math qid="Q9416">\beta = -2n^{2}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\beta = -2n^{2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">beta = - 2*(n)^(2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">\[Beta] == - 2*(n)^(2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |-
-| [https://dlmf.nist.gov/32.10.E19 32.10.E19] || [[Item:Q9419|<math>\phi(z) = \left(C_{1}\paraU@{a}{\sqrt{2}z}+C_{2}\paraV@{a}{\sqrt{2}z}\right)\exp@{\tfrac{1}{2}\varepsilon z^{2}}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\phi(z) = \left(C_{1}\paraU@{a}{\sqrt{2}z}+C_{2}\paraV@{a}{\sqrt{2}z}\right)\exp@{\tfrac{1}{2}\varepsilon z^{2}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>phi(z) = (C[1]*CylinderU(a, sqrt(2)*z)+ C[2]*CylinderV(a, sqrt(2)*z))*exp((1)/(2)*varepsilon*(z)^(2))</syntaxhighlight> || <syntaxhighlight lang=mathematica>\[Phi][z] == (Subscript[C, 1]*ParabolicCylinderD[- 1/2 -(a), Sqrt[2]*z]+ Subscript[C, 2]*Divide[GAMMA[1/2 + a], Pi]*(Sin[Pi*(a)] * ParabolicCylinderD[-(a) - 1/2, Sqrt[2]*z] + ParabolicCylinderD[-(a) - 1/2, -(Sqrt[2]*z)]))*Exp[Divide[1,2]*\[CurlyEpsilon]*(z)^(2)]</syntaxhighlight> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Failed [300 / 300]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: .6213533818-.8057984780*I
+| [https://dlmf.nist.gov/32.10.E19 32.10.E19] || <math qid="Q9419">\phi(z) = \left(C_{1}\paraU@{a}{\sqrt{2}z}+C_{2}\paraV@{a}{\sqrt{2}z}\right)\exp@{\tfrac{1}{2}\varepsilon z^{2}}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\phi(z) = \left(C_{1}\paraU@{a}{\sqrt{2}z}+C_{2}\paraV@{a}{\sqrt{2}z}\right)\exp@{\tfrac{1}{2}\varepsilon z^{2}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>phi(z) = (C[1]*CylinderU(a, sqrt(2)*z)+ C[2]*CylinderV(a, sqrt(2)*z))*exp((1)/(2)*varepsilon*(z)^(2))</syntaxhighlight> || <syntaxhighlight lang=mathematica>\[Phi][z] == (Subscript[C, 1]*ParabolicCylinderD[- 1/2 -(a), Sqrt[2]*z]+ Subscript[C, 2]*Divide[GAMMA[1/2 + a], Pi]*(Sin[Pi*(a)] * ParabolicCylinderD[-(a) - 1/2, Sqrt[2]*z] + ParabolicCylinderD[-(a) - 1/2, -(Sqrt[2]*z)]))*Exp[Divide[1,2]*\[CurlyEpsilon]*(z)^(2)]</syntaxhighlight> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Failed [300 / 300]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: .6213533818-.8057984780*I
 Test Values: {a = -3/2, phi = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I, C[1] = 1/2*3^(1/2)+1/2*I, C[2] = 1/2*3^(1/2)+1/2*I, varepsilon = 1}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: 1.542195596-1.017130546*I
 Test Values: {a = -3/2, phi = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I, C[1] = 1/2*3^(1/2)+1/2*I, C[2] = 1/2*3^(1/2)+1/2*I, varepsilon = 2}</syntaxhighlight><br>... skip entries to safe data</div></div> || <div class="toccolours mw-collapsible mw-collapsed">Failed [300 / 300]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: Plus[Complex[0.5000000000000001, 0.8660254037844386], Times[Complex[-1.165517214154348, -0.5387865015105858], Plus[Complex[0.9001043151387932, 0.6347232005321619], Times[Complex[-6.562724044143109*^-17, -2.768827103772538*^-17], GAMMA[-1.0]]]]]
@@ Line 48: / Line 48: @@
 Test Values: {Rule[a, -1.5], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ε, 2], Rule[ϕ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[C, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[C, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}</syntaxhighlight><br>... skip entries to safe data</div></div>
 |-
-| [https://dlmf.nist.gov/32.10.E20 32.10.E20] || [[Item:Q9420|<math>w(z;-m,-2(m-1)^{2}) = -\frac{\HermitepolyH{m-1}'@{z}}{\HermitepolyH{m-1}@{z}}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>w(z;-m,-2(m-1)^{2}) = -\frac{\HermitepolyH{m-1}'@{z}}{\HermitepolyH{m-1}@{z}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>w(z ; - m , - 2*(m - 1)^(2)) = -(diff( HermiteH(m - 1, z), z$(1) ))/(HermiteH(m - 1, z))</syntaxhighlight> || <syntaxhighlight lang=mathematica>w[z ; - m , - 2*(m - 1)^(2)] == -Divide[D[HermiteH[m - 1, z], {z, 1}],HermiteH[m - 1, z]]</syntaxhighlight> || Translation Error || Translation Error || - || -
+| [https://dlmf.nist.gov/32.10.E20 32.10.E20] || <math qid="Q9420">w(z;-m,-2(m-1)^{2}) = -\frac{\HermitepolyH{m-1}'@{z}}{\HermitepolyH{m-1}@{z}}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>w(z;-m,-2(m-1)^{2}) = -\frac{\HermitepolyH{m-1}'@{z}}{\HermitepolyH{m-1}@{z}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>w(z ; - m , - 2*(m - 1)^(2)) = -(diff( HermiteH(m - 1, z), z$(1) ))/(HermiteH(m - 1, z))</syntaxhighlight> || <syntaxhighlight lang=mathematica>w[z ; - m , - 2*(m - 1)^(2)] == -Divide[D[HermiteH[m - 1, z], {z, 1}],HermiteH[m - 1, z]]</syntaxhighlight> || Translation Error || Translation Error || - || -
 |-
-| [https://dlmf.nist.gov/32.10.E21 32.10.E21] || [[Item:Q9421|<math>w(z;-m,-2(m+1)^{2}) = -2z+\frac{\HermitepolyH{m}'@{z}}{\HermitepolyH{m}@{z}}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>w(z;-m,-2(m+1)^{2}) = -2z+\frac{\HermitepolyH{m}'@{z}}{\HermitepolyH{m}@{z}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>w(z ; - m , - 2*(m + 1)^(2)) = - 2*z +(diff( HermiteH(m, z), z$(1) ))/(HermiteH(m, z))</syntaxhighlight> || <syntaxhighlight lang=mathematica>w[z ; - m , - 2*(m + 1)^(2)] == - 2*z +Divide[D[HermiteH[m, z], {z, 1}],HermiteH[m, z]]</syntaxhighlight> || Translation Error || Translation Error || - || -
+| [https://dlmf.nist.gov/32.10.E21 32.10.E21] || <math qid="Q9421">w(z;-m,-2(m+1)^{2}) = -2z+\frac{\HermitepolyH{m}'@{z}}{\HermitepolyH{m}@{z}}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>w(z;-m,-2(m+1)^{2}) = -2z+\frac{\HermitepolyH{m}'@{z}}{\HermitepolyH{m}@{z}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>w(z ; - m , - 2*(m + 1)^(2)) = - 2*z +(diff( HermiteH(m, z), z$(1) ))/(HermiteH(m, z))</syntaxhighlight> || <syntaxhighlight lang=mathematica>w[z ; - m , - 2*(m + 1)^(2)] == - 2*z +Divide[D[HermiteH[m, z], {z, 1}],HermiteH[m, z]]</syntaxhighlight> || Translation Error || Translation Error || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.10.E23 32.10.E23] || [[Item:Q9423|<math>a+b+\varepsilon_{3}\gamma = 2n+1</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>a+b+\varepsilon_{3}\gamma = 2n+1</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">a + b + varepsilon[3]*gamma = 2*n + 1</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">a + b + Subscript[\[CurlyEpsilon], 3]*\[Gamma] == 2*n + 1</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.10.E23 32.10.E23] || <math qid="Q9423">a+b+\varepsilon_{3}\gamma = 2n+1</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>a+b+\varepsilon_{3}\gamma = 2n+1</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">a + b + varepsilon[3]*gamma = 2*n + 1</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">a + b + Subscript[\[CurlyEpsilon], 3]*\[Gamma] == 2*n + 1</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.10.E24 32.10.E24] || [[Item:Q9424|<math>(a-n)(b-n) = 0</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>(a-n)(b-n) = 0</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(a - n)*(b - n) = 0</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(a - n)*(b - n) == 0</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.10.E24 32.10.E24] || <math qid="Q9424">(a-n)(b-n) = 0</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>(a-n)(b-n) = 0</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(a - n)*(b - n) = 0</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(a - n)*(b - n) == 0</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |-
-| [https://dlmf.nist.gov/32.10.E27 32.10.E27] || [[Item:Q9427|<math>\phi(z) = \frac{C_{1}\WhittakerconfhyperM{\kappa}{\mu}@{\zeta}+C_{2}\WhittakerconfhyperW{\kappa}{\mu}@{\zeta}}{\zeta^{(a-b+1)/2}}\exp@{\tfrac{1}{2}\zeta}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\phi(z) = \frac{C_{1}\WhittakerconfhyperM{\kappa}{\mu}@{\zeta}+C_{2}\WhittakerconfhyperW{\kappa}{\mu}@{\zeta}}{\zeta^{(a-b+1)/2}}\exp@{\tfrac{1}{2}\zeta}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>phi(z) = (C[1]*WhittakerM(kappa, mu, zeta)+ C[2]*WhittakerW(kappa, mu, zeta))/((zeta)^((a - b + 1)/2))*exp((1)/(2)*zeta)</syntaxhighlight> || <syntaxhighlight lang=mathematica>\[Phi][z] == Divide[Subscript[C, 1]*WhittakerM[\[Kappa], \[Mu], \[Zeta]]+ Subscript[C, 2]*WhittakerW[\[Kappa], \[Mu], \[Zeta]],\[Zeta]^((a - b + 1)/2)]*Exp[Divide[1,2]*\[Zeta]]</syntaxhighlight> || Failure || Failure || Manual Skip! || Skipped - Because timed out
+| [https://dlmf.nist.gov/32.10.E27 32.10.E27] || <math qid="Q9427">\phi(z) = \frac{C_{1}\WhittakerconfhyperM{\kappa}{\mu}@{\zeta}+C_{2}\WhittakerconfhyperW{\kappa}{\mu}@{\zeta}}{\zeta^{(a-b+1)/2}}\exp@{\tfrac{1}{2}\zeta}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\phi(z) = \frac{C_{1}\WhittakerconfhyperM{\kappa}{\mu}@{\zeta}+C_{2}\WhittakerconfhyperW{\kappa}{\mu}@{\zeta}}{\zeta^{(a-b+1)/2}}\exp@{\tfrac{1}{2}\zeta}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>phi(z) = (C[1]*WhittakerM(kappa, mu, zeta)+ C[2]*WhittakerW(kappa, mu, zeta))/((zeta)^((a - b + 1)/2))*exp((1)/(2)*zeta)</syntaxhighlight> || <syntaxhighlight lang=mathematica>\[Phi][z] == Divide[Subscript[C, 1]*WhittakerM[\[Kappa], \[Mu], \[Zeta]]+ Subscript[C, 2]*WhittakerW[\[Kappa], \[Mu], \[Zeta]],\[Zeta]^((a - b + 1)/2)]*Exp[Divide[1,2]*\[Zeta]]</syntaxhighlight> || Failure || Failure || Manual Skip! || Skipped - Because timed out
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.10.E28 32.10.E28] || [[Item:Q9428|<math>a+b+c+d = 2n+1</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>a+b+c+d = 2n+1</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">a + b + c + d = 2*n + 1</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">a + b + c + d == 2*n + 1</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.10.E28 32.10.E28] || <math qid="Q9428">a+b+c+d = 2n+1</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>a+b+c+d = 2n+1</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">a + b + c + d = 2*n + 1</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">a + b + c + d == 2*n + 1</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.10#Ex2 32.10#Ex2] || [[Item:Q9431|<math>\zeta = \frac{1}{1-z}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\zeta = \frac{1}{1-z}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">zeta = (1)/(1 - z)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">\[Zeta] == Divide[1,1 - z]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.10#Ex2 32.10#Ex2] || <math qid="Q9431">\zeta = \frac{1}{1-z}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\zeta = \frac{1}{1-z}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">zeta = (1)/(1 - z)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">\[Zeta] == Divide[1,1 - z]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |-
-| [https://dlmf.nist.gov/32.10.E31 32.10.E31] || [[Item:Q9432|<math>\phi(\zeta) = C_{1}\hyperF@{b}{-a}{b+c}{\zeta}+C_{2}\zeta^{-b+1-c}\*\hyperF@{-a-b-c+1}{-c+1}{2-b-c}{\zeta}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\phi(\zeta) = C_{1}\hyperF@{b}{-a}{b+c}{\zeta}+C_{2}\zeta^{-b+1-c}\*\hyperF@{-a-b-c+1}{-c+1}{2-b-c}{\zeta}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>phi(zeta) = C[1]*hypergeom([b, - a], [b + c], zeta)+ C[2]*(zeta)^(- b + 1 - c)* hypergeom([- a - b - c + 1, - c + 1], [2 - b - c], zeta)</syntaxhighlight> || <syntaxhighlight lang=mathematica>\[Phi][\[Zeta]] == Subscript[C, 1]*Hypergeometric2F1[b, - a, b + c, \[Zeta]]+ Subscript[C, 2]*\[Zeta]^(- b + 1 - c)* Hypergeometric2F1[- a - b - c + 1, - c + 1, 2 - b - c, \[Zeta]]</syntaxhighlight> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Failed [300 / 300]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: Float(infinity)+Float(infinity)*I
+| [https://dlmf.nist.gov/32.10.E31 32.10.E31] || <math qid="Q9432">\phi(\zeta) = C_{1}\hyperF@{b}{-a}{b+c}{\zeta}+C_{2}\zeta^{-b+1-c}\*\hyperF@{-a-b-c+1}{-c+1}{2-b-c}{\zeta}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\phi(\zeta) = C_{1}\hyperF@{b}{-a}{b+c}{\zeta}+C_{2}\zeta^{-b+1-c}\*\hyperF@{-a-b-c+1}{-c+1}{2-b-c}{\zeta}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>phi(zeta) = C[1]*hypergeom([b, - a], [b + c], zeta)+ C[2]*(zeta)^(- b + 1 - c)* hypergeom([- a - b - c + 1, - c + 1], [2 - b - c], zeta)</syntaxhighlight> || <syntaxhighlight lang=mathematica>\[Phi][\[Zeta]] == Subscript[C, 1]*Hypergeometric2F1[b, - a, b + c, \[Zeta]]+ Subscript[C, 2]*\[Zeta]^(- b + 1 - c)* Hypergeometric2F1[- a - b - c + 1, - c + 1, 2 - b - c, \[Zeta]]</syntaxhighlight> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Failed [300 / 300]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: Float(infinity)+Float(infinity)*I
 Test Values: {a = -3/2, b = -3/2, c = -3/2, phi = 1/2*3^(1/2)+1/2*I, zeta = 1/2*3^(1/2)+1/2*I, C[1] = 1/2*3^(1/2)+1/2*I, C[2] = 1/2*3^(1/2)+1/2*I}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: Float(infinity)+Float(infinity)*I
 Test Values: {a = -3/2, b = -3/2, c = -3/2, phi = 1/2*3^(1/2)+1/2*I, zeta = 1/2*3^(1/2)+1/2*I, C[1] = 1/2*3^(1/2)+1/2*I, C[2] = -1/2+1/2*I*3^(1/2)}</syntaxhighlight><br>... skip entries to safe data</div></div> || Skipped - Because timed out
 |-
-| [https://dlmf.nist.gov/32.10.E32 32.10.E32] || [[Item:Q9433|<math>u = \int_{0}^{\Lambda}\frac{\diff{t}}{\sqrt{t(t-1)(t-z)}}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>u = \int_{0}^{\Lambda}\frac{\diff{t}}{\sqrt{t(t-1)(t-z)}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>u = int((1)/(sqrt(t*(t - 1)*(t - z))), t = 0..Lambda)</syntaxhighlight> || <syntaxhighlight lang=mathematica>u == Integrate[Divide[1,Sqrt[t*(t - 1)*(t - z)]], {t, 0, \[CapitalLambda]}, GenerateConditions->None]</syntaxhighlight> || Failure || Aborted || Skipped - Because timed out || Skipped - Because timed out
+| [https://dlmf.nist.gov/32.10.E32 32.10.E32] || <math qid="Q9433">u = \int_{0}^{\Lambda}\frac{\diff{t}}{\sqrt{t(t-1)(t-z)}}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>u = \int_{0}^{\Lambda}\frac{\diff{t}}{\sqrt{t(t-1)(t-z)}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>u = int((1)/(sqrt(t*(t - 1)*(t - z))), t = 0..Lambda)</syntaxhighlight> || <syntaxhighlight lang=mathematica>u == Integrate[Divide[1,Sqrt[t*(t - 1)*(t - z)]], {t, 0, \[CapitalLambda]}, GenerateConditions->None]</syntaxhighlight> || Failure || Aborted || Skipped - Because timed out || Skipped - Because timed out
 |-
-| [https://dlmf.nist.gov/32.10.E33 32.10.E33] || [[Item:Q9434|<math>z(1-z)\deriv[2]{\phi}{z}+(1-2z)\deriv{\phi}{z}-\tfrac{1}{4}\phi = 0</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>z(1-z)\deriv[2]{\phi}{z}+(1-2z)\deriv{\phi}{z}-\tfrac{1}{4}\phi = 0</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>z*(1 - z)*diff(phi, [z$(2)])+(1 - 2*z)*diff(phi, z)-(1)/(4)*phi = 0</syntaxhighlight> || <syntaxhighlight lang=mathematica>z*(1 - z)*D[\[Phi], {z, 2}]+(1 - 2*z)*D[\[Phi], z]-Divide[1,4]*\[Phi] == 0</syntaxhighlight> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Failed [70 / 70]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: -.2165063510-.1250000000*I
+| [https://dlmf.nist.gov/32.10.E33 32.10.E33] || <math qid="Q9434">z(1-z)\deriv[2]{\phi}{z}+(1-2z)\deriv{\phi}{z}-\tfrac{1}{4}\phi = 0</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>z(1-z)\deriv[2]{\phi}{z}+(1-2z)\deriv{\phi}{z}-\tfrac{1}{4}\phi = 0</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>z*(1 - z)*diff(phi, [z$(2)])+(1 - 2*z)*diff(phi, z)-(1)/(4)*phi = 0</syntaxhighlight> || <syntaxhighlight lang=mathematica>z*(1 - z)*D[\[Phi], {z, 2}]+(1 - 2*z)*D[\[Phi], z]-Divide[1,4]*\[Phi] == 0</syntaxhighlight> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Failed [70 / 70]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: -.2165063510-.1250000000*I
 Test Values: {phi = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: -.2165063510-.1250000000*I
 Test Values: {phi = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}</syntaxhighlight><br>... skip entries to safe data</div></div> || <div class="toccolours mw-collapsible mw-collapsed">Failed [70 / 70]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: Complex[-0.21650635094610968, -0.12499999999999999]
@@ Line 74: / Line 74: @@
 Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[ϕ, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}</syntaxhighlight><br>... skip entries to safe data</div></div>
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/32.10.E34 32.10.E34] || [[Item:Q9435|<math>w(z;0,0,0,\tfrac{1}{2}) = \Lambda(C_{1}\phi_{1}+C_{2}\phi_{2},z)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z;0,0,0,\tfrac{1}{2}) = \Lambda(C_{1}\phi_{1}+C_{2}\phi_{2},z)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z ; 0 , 0 , 0 ,(1)/(2)) = Lambda(C[1]*phi[1]+ C[2]*phi[2], z)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z ; 0 , 0 , 0 ,Divide[1,2]] == \[CapitalLambda][Subscript[C, 1]*Subscript[\[Phi], 1]+ Subscript[C, 2]*Subscript[\[Phi], 2], z]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/32.10.E34 32.10.E34] || <math qid="Q9435">w(z;0,0,0,\tfrac{1}{2}) = \Lambda(C_{1}\phi_{1}+C_{2}\phi_{2},z)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w(z;0,0,0,\tfrac{1}{2}) = \Lambda(C_{1}\phi_{1}+C_{2}\phi_{2},z)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w(z ; 0 , 0 , 0 ,(1)/(2)) = Lambda(C[1]*phi[1]+ C[2]*phi[2], z)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[z ; 0 , 0 , 0 ,Divide[1,2]] == \[CapitalLambda][Subscript[C, 1]*Subscript[\[Phi], 1]+ Subscript[C, 2]*Subscript[\[Phi], 2], z]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |}
 </div>

32.10: Difference between revisions

Latest revision as of 13:13, 28 June 2021

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