# \#basis

**URL:** https://discourse.julialang.org/tag/basis/977.md

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## [Is there an "Algebra of basis-functions"](https://discourse.julialang.org/t/is-there-an-algebra-of-basis-functions/131750)

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**Author:** [@JADekker](https://discourse.julialang.org/u/JADekker)\
**Replies:** 8\
**Last updated:** [August 22, 2025, 9:23am UTC](https://discourse.julialang.org/t/is-there-an-algebra-of-basis-functions/131750 "2025-08-22T09:23:50Z")

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In my research, I often work with the following kind of problem that essentially reduces to approximating a conditional expectation, say \\mathbb{E}\[g(X)|X=x\], by a linear combination of basis-functions, \\mathbb{E}\[g(X)|X…

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## [Changing polynomial bases](https://discourse.julialang.org/t/changing-polynomial-bases/111238)

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**Author:** [@votroto](https://discourse.julialang.org/u/votroto)\
**Replies:** 7\
**Last updated:** [March 8, 2024, 1:43pm UTC](https://discourse.julialang.org/t/changing-polynomial-bases/111238 "2024-03-08T13:43:34Z")

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Hello, I noticed there is a julia package MultivariateBases.jl for finding the bases of multivariate polynomials. Is there a simple way to get the coefficients corresponding to the basis generated basis elements? Thank …

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## [Oscar and DynamicaPolynomials: Convert polynomial type for basis of invariant rings](https://discourse.julialang.org/t/oscar-and-dynamicapolynomials-convert-polynomial-type-for-basis-of-invariant-rings/102422)

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**Author:** [@ilovemath](https://discourse.julialang.org/u/ilovemath)\
**Replies:** 6\
**Last updated:** [September 14, 2023, 2:57am UTC](https://discourse.julialang.org/t/oscar-and-dynamicapolynomials-convert-polynomial-type-for-basis-of-invariant-rings/102422 "2023-09-14T02:57:48Z")

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I would like to know if there is a way to convert a type nf\_elem to a polynomial. My goal with this code is to find all minimal monomials of degree d that obey a rotational symmetry, so I can directly construct a polyno…

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## [Nonparametric functions for time-varying parameters in ODE models?](https://discourse.julialang.org/t/nonparametric-functions-for-time-varying-parameters-in-ode-models/78137)

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**Author:** [@sdwfrost](https://discourse.julialang.org/u/sdwfrost)\
**Replies:** 1\
**Last updated:** [March 20, 2022, 11:33am UTC](https://discourse.julialang.org/t/nonparametric-functions-for-time-varying-parameters-in-ode-models/78137 "2022-03-20T11:33:47Z")

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Dear All, I’m interested in having an ODE model where the parameters change over time specified by some nonparametric function e.g. splines, or at least some sort of basis function over time, etc. so I can get a flexibl…