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Math Forum / Math Software / Maple / October 2008VM machine: A tiny bit of bugs in integral transforms in Mathematica 6.0.3
............................................................ FourierTransform[Cosh[z], z, s] 0 ............................................................ LaplaceTransform[Sin[z]^2/Cos[z], z, s] 0 ............................................................ Integrate[Sin[z]*CosIntegral[z] Exp[-z s], {z, 0, Infinity}, Assumptions -> {s > 1}] No more memory available. Mathematica kernel has shut down. ............................................................ Best wishes, Vladimir Bondarenko Co-founder, CEO, Mathematical Director http://www.cybertester.com/ Cyber Tester Ltd. ------------------------------------------------------------ "We must understand that technologies like these are the way of the future." ------------------------------------------------------------ Vladimir Bondarenko schrieb: > FourierTransform[Cosh[z], z, s] > [quoted text clipped - 13 lines] > No more memory available. > Mathematica kernel has shut down. Alright, that's more bugs in the Mathematica section implementing the Mellin-convolution-of-Meijer-G-functions approach (i.e. the implementation of Gradshteyn-Ryzhik formula 7.811) to definite integrals. With so many catastrophic failures for simple cases, it looks like a major breakage indeed: they must have managed to put illegal transformations into a simplification path that is followed quite often. The third example seems to be a case of infinite recursion. Martin. |
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