The source code and dockerfile for the GSW2024 AI Lab.
You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
This repo is archived. You can view files and clone it, but cannot push or open issues/pull-requests.
|
|
Polynomials {#polynomials}=====
In order to represent polynomials, we define the following hierarchy of classes:
- Coefficient: Represents the numeric coefficient..- Variable: Represents a variable.- Monomial: Represents a product of variables.- Term: Represents a product of a constant factor and a Monomial.- MultivariatePolynomial: Represents a polynomial in multiple variables with numeric coefficients.
We consider these types to be embedded in a hierarchy like this:
- MultivariatePolynomial - Term - Monomial - Variable - Coefficient
We will abbreviate these types as C, V, M, T, MP.
## UnivariatePolynomial
Additionally, we define a UnivariatePolynomial class.It is meant to represent either a univariate polynomial in a single variable, or a multivariate polynomial with a distinguished main variable.
In the former case, a number type is used as template argument. We call this a _univariate polynomial_.
In the latter case, the template argument is instantiated with a multivariate polynomial. We call this a _univariately represented polynomial_.
A UnivariatePolynomial, regardless if univariate or univariately represented, is mostly compatible to the above types.
@subpage polynomials_operators
|
