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VM machine: A tiny bit of bugs in integral transforms in Mat
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Vladimir Bondarenko
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PostPosted: Sun Oct 19, 2008 8:59 pm    Post subject: VM machine: A tiny bit of bugs in integral transforms in Mat Reply with quote

.............................................................

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.

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PostPosted: Mon Oct 20, 2008 8:47 am    Post subject: Re: VM machine: A tiny bit of bugs in integral transforms in Reply with quote

Vladimir Bondarenko schrieb:
[quote]
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.

[/quote]
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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