vb914's articles:

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Two questions about Rubi 25 126 (10/31/2010 11:24:49 AM) comp.soft-sys.matlab http://www.axiom-developer.org/axiom-website/faq.html "Axiom is free software, available under a BSD like license. For more details, please have a look in the licences available in the CVS repository." ... Vladimir

An exact simplification challenge - 105 (AppellF1, EllipticE/K) 0 26 (8/9/2010 11:03:03 AM) comp.soft-sys.matlab Hello, Sqrt[2*(1 + Sqrt[2])]* (AppellF1[-1/2,-1/2,-1/2,1/2,-2*(Sqrt[2]+1),2*(Sqrt[2]-1)] + 4*AppellF1[1/2,1/2,1/2,3/2,-2*(Sqrt[2]+1),2*(Sqrt[2]-1)]) + 4*(-EllipticE[-3 - 2*Sqrt[2]] + (1 + Sqrt[2])*E... Vladimir

An exact simplification challenge - 104 (EllipticF, Log) 0 31 (8/7/2010 9:17:20 PM) comp.soft-sys.matlab Hello, At all positive integers n >= 2 n EllipticF[ArcSin[Sqrt[2]], 1/(1 - n^2)]/Sqrt[n^2 - 1] - n EllipticF[ArcSin[Sqrt[1 + n]], 1/(1 - n^2)]/Sqrt[n^2 - 1] + EllipticF[I ArcSinh[Sqrt[n]], 1/n^2] - EllipticF[... Vladimir

An exact simplification challenge - 103 (EllipticE/F) 0 28 (8/6/2010 1:43:48 PM) comp.soft-sys.matlab Hello, Mathematica: Sqrt[3] EllipticE[1, 4/3] + 6 EllipticF[ArcSin[Tan[1/2]/Sqrt[3]], 9] - 3 EllipticE[ArcSin[Tan[1/2] Sqrt[3]], 1/9] Maple: 3^(1/2)*EllipticE(sin(1), 2/3*3^(1/2)) + 6*EllipticF(tan(1/2)/3^(... Vladimir

Mathematica 7 bug - NIntegrate (Sin, Cos, Sqrt) 1 35 (8/5/2010 2:20:25 AM) comp.soft-sys.matlab NIntegrate[ 1/Sqrt[(Cos[z] + Cos[2 z] + Cos[3 z] + Cos[4 z])^2 + (Sin[z] + Sin[2 z] + Sin[3 z] + Sin[4 z])^2], {z, 0, Pi/2}] -> 13.2482 and no warning is given. This integral, obviously, diverge... Vladimir

An exact simplification challenge - 102 (Psi, polylog) 0 50 (8/5/2010 1:24:19 AM) comp.soft-sys.matlab Hello, Mathematica: PolyGamma[1, 1/6] + 9 PolyGamma[1, 1/3] - 9 PolyGamma[1, 2/3] - PolyGamma[1, 5/6] - 48 I Sqrt[3] PolyLog[2, ((2 + 3 I) - (1 + 2 I) Sqrt[3])/2] + 48 I Sqrt[3] PolyLog[2, (1 - 3/2 I) - (1/2 ... Vladimir

An exact simplification challenge - 101 (tan, arctan) 2 45 (8/4/2010 3:07:33 PM) comp.soft-sys.matlab Hello, Mathematica: Tan[1/4 ArcTan[(16 Sqrt[2] (11030013328417+6423142241817* Sqrt[3]))/(80380562320289 + 43647808257288 Sqrt[3])]] Maple: tan(1/4*arctan(16*(6423142241817*3^(1/2)+11030013328417)* 2^(1/2)/(... Vladimir

An exact 1-D integration challenge - 67 - (erf, sqrt, arcsin) 1 28 (8/4/2010 1:15:05 AM) comp.soft-sys.matlab Hello, Mathematica: Integrate[Erf[ArcSin[z]]/Sqrt[1 + z], {z, 0, 1}] Maple: int(erf(arcsin(z))/sqrt(1 + z), z= 0..1); ? Cheers, Vladimir Bondarenko Co-founder, CEO, Mathematical Director... Vladimir

An exact simplification challenge - 100 (EllipticE, GAMMA) 1 23 (8/2/2010 10:23:06 AM) comp.soft-sys.matlab Hello, Mathematica: I - I Sqrt[2 Pi] EllipticE[2]/Gamma[3/4]^2 Maple: I-I*sqrt(2*Pi)*EllipticE(sqrt(2))/GAMMA(3/4)^2 Can you "elementarize" this ? Cheers, Vladimir Bondarenko Co-founder, CEO, Mathematic... Vladimir

An exact 1-D integration challenge - 66 - (sqrt, sin) 0 30 (8/1/2010 5:10:31 AM) comp.soft-sys.matlab Hello, int(sqrt(1 - sin(z)^3)/cos(z), z= 0..Pi/2); ? Cheers, Vladimir Bondarenko Co-founder, CEO, Mathematical Director http://www.cybertester.com/ Cyber Tester Ltd. ---------------... Vladimir

vb914's replies:

Items(51) /6 Next >> Last >|

An exact simplification challenge - 89 (Sin, ArcSinh, ArcCsch) 11 32 (1/22/2009 6:02:26 AM) comp.soft-sys.matlab Hello, ArcCsch[2]/(ArcSinh[2] - ArcCsch[2])/ Sin[Pi ArcCsch[2]/(ArcSinh[2] - ArcCsch[2])] ? Anyone who wants to give just an answer, let's go to hell. Folks, give the pro... vb914 (240)

Wolfram Alpha bugs: How much time do you need to stamble over the 1st one? 20 34 (5/16/2009 6:03:36 AM) comp.soft-sys.matlab It took me about 5 minutes. Consider, as of May 16, 2009, 8:45 a.m. local time (Simferopol) Wolfram Alpha correctly returns 1 for the following integral Integrate[BesselJ[1, z], {z, 0, Infinity}] http://www... vb914 (240)

An exact simplification challenge - 91 (eerie PolyGamma) 8 22 (5/25/2009 3:23:31 AM) comp.soft-sys.matlab Hello, - PolyGamma[0, 1 + I] - PolyGamma[0, 1 - I] - PolyGamma[0, 3/2 + I] - PolyGamma[0, 3/2 - I] + 2 PolyGamma[0, 2 + 2 I] ... vb914 (240)

Yet another funny bug in Maple 13 5 19 (6/13/2009 7:18:35 AM) comp.soft-sys.matlab Enjoy. > int(1/z^(1/(sqrt(2)*(cos(Pi/12)-sin(Pi/12)))), z= 0..infinity); > int(1/z^(1/(sqrt(2)*(cos(Pi/12)-sin(Pi/12)))), z= 1..infinity); 0 0 Better still, > evalf(int(1/z^(1/(sqrt(2)*(cos(Pi/12)-sin(Pi/12... vb914 (240)

MathCAD customers base size? 8 51 (6/20/2009 3:12:56 PM) comp.soft-sys.matlab Hello, If someone could give a reference to an estimation of the total MathCAD customers number? Thanks in advance. ... vb914 (240)

An exact simplification challenge - 92 (eerie Hypergeometric2F1) 3 13 (7/20/2009 4:39:58 AM) comp.soft-sys.matlab Hello, 4 (2 + Sqrt[3])^(1/4)/3 * Hypergeometric2F1[-1/4, 3/4, 7/4, (2 - Sqrt[3])/4] - (2 + Sqrt[3])^(1/4)/3 * Hypergeometric2F1[3/4, 3/4, 7/4, (2 - Sqrt[3])/4] + ((2 + Sqrt[3])^(1/4) * Hypergeometric2F... vb914 (240)

An exact simplification challenge - 94 (erfc, FresnelC/S) 6 85 (7/12/2010 7:43:17 AM) comp.soft-sys.matlab Hello, erfc(3/2*(-1)^(3/4)) +erfc((1-I)*(1+sqrt(2)/4)) +(1+I)*(I*FresnelC(3/sqrt(2*Pi)) -I*FresnelC(2/sqrt(Pi)+1/sqrt(2*Pi)) -FresnelS(3/sqrt(2*Pi)) +FresnelS(2/sqrt(Pi)+1/sqrt(2*Pi)) ... vb914 (240)

An exact simplification challenge - 96 (EllipticF/K/Pi) 1 21 (7/17/2010 5:32:05 PM) comp.soft-sys.matlab Hello, Mathematica: 2*(-1)^(1/6)*(-2*I*EllipticF[I*ArcSinh[(-1)^(5/6)],(-1)^(2/3)]- (-1)^(1/6)*EllipticK[-(-1)^(1/3)]+EllipticK[1-(-1)^(2/3)]+ I*EllipticPi[(-1)^(1/3),(-1)^(2/3)]+ (-1)^(1/6)*EllipticPi[-(-1)^... vb914 (240)

An exact simplification challenge - 99 (EllipticK/Pi) 1 38 (7/27/2010 9:22:29 PM) comp.soft-sys.matlab Hello, Mathematica: (-1)^(5/12) EllipticK[-(-1)^(2/3)] - (-1)^(5/12) EllipticPi[-(-1)^(5/6)/Sqrt[3], -(-1)^(2/3)] - (-1)^(7/12) EllipticPi[(3 + I Sqrt[3])/2, (1 + I Sqrt[3])/2] Maple: (-1)^(5/12)*EllipticK(... vb914 (240)

An exact simplification challenge - 100 (EllipticE, GAMMA) 1 23 (8/2/2010 10:23:06 AM) comp.soft-sys.matlab Hello, Mathematica: I - I Sqrt[2 Pi] EllipticE[2]/Gamma[3/4]^2 Maple: I-I*sqrt(2*Pi)*EllipticE(sqrt(2))/GAMMA(3/4)^2 Can you "elementarize" this ? Cheers, Vladimir Bondarenko Co-founder, CEO, Mathematic... vb914 (240)