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# mathematics
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Jérémie Labroquère

01/04/2020, 12:37 PM
Hi @altavir. It seems that your approach on polynom is fine. A polynom has to be distinguished to a polynomial function. These are two different objects. The former is composed of coefficients (a11, a12, a22, etc.) which are taken from a set such as a commutative ring, and of indeterminates (X, Y...). The second is basically a function, which takes arguments and returns a value. Making the distinction between the two allows you to deal with much more complex polynoms, for example truncated polynom algebra, in example : https://darioizzo.github.io/audi/theory_algebra.html I have a bunch of applications with these....
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altavir

01/04/2020, 12:50 PM
Thank you for your reply. I've currently employed this idea as well. Polynomials are just a lis of coefficients (without requirements for coeficcients), but when used with an argument which forms a ring, they start to work as functions and form a space themselves. I will finish an interpolator design and push the code to the repository, then we could discuss applications.
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