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Problem with MuPad assumptions

1 次查看(过去 30 天)
Ali Baig
Ali Baig 2018-4-9
关闭: MATLAB Answer Bot 2021-8-20
Consider the following lines of code.
assume(h > 0)
assume (`ν` > 0)
assume (U > 0)
Pe := U * h / (2 * `ν`)
`&xi` := cosh(Pe)/sinh(Pe) - 1 / Pe
is(`&xi` >= 0
'Pe' should be positive, and when 'Pe' is positive, the variable `ξ' is always positive. But I run these lines in Mupad, the answer comes out to be
UNKNOWN
What is the problem here? I have plotted the variable `ξ' against Pe from 0 to 100000, and `ξ' is always positive.
Is it possible to set the force the sign of `ξ' to be positive?

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