Polynomial, yes or not?

Forum|Forum|6 years ago
September 4, 2019
3 replies
5905 views

Hello everyone,

I would like to create a Mathcad program that distinguishes whether the denominator of a given fraction is a polynomial or not, returning 0 or 1 for example. How do I do this?

Thank you.

L

LucMeekes

23-Emerald IV

Examples please.
Note sin (x) generally isn't viewed as a polynomial in x. But it can be written as such.

Luc

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-MFra-

Author

21-Topaz II

Hi,

The function of the program should be something like this:

once the type has been identified, we pass to the transformation into a polynomial, if possible.

L

LucMeekes

23-Emerald IV

I got this far, so far:

I doubt whether this will (rather sure that this will not) work in Mathcad 15, but it does work in Mathcad 11.

Success!
Luc

1_LM_20190904_CheckPolynome.zip

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-MFra-

Author

21-Topaz II

Mathcad 15 returns this error:

LM file.jpg

W

Werner_E

25-Diamond I

I am tempted to say that what you demand can't be done in Mathcad in a reasonable way as Mathcad does not provide the necessary tools.

Nonetheless here is a first attempt which may serve as a starting point for your own experiments.

There are a lot of drawbacks so far - you can only evaluate the function symbolically, its only working for functions in one variable and otherwise constants, ...

A few of the adverse effects could probably be corrected by some further investigations, but presumably not all. And I guess it will remain an uncertain, unreliable thing.