The most common way to represent a polynomial is writing it as a linear combination of monomials, i.e., powers of the variable. For example, the polynomial \$p(x) = x^3 + 2x^2 + x + 1\$ is a linear combination of the monomials \$x^3\$, \$x^2\$, \$x\$, and \$1\$, with coefficients \$1\$, \$2\$, \$1\$, and \$1\$ respectively. However, the monomial basis is not the only possible basis for polynomials. Another interesting basis, useful in combinatorics and some other areas of mathematics, is the ...| Recent Questions - Code Golf Stack Exchange
tl;dr: The 1st multivariate polynomial commitment scheme based on a non-trivial generalization of KZG.Introduce the PST scheme[^PST13], originally published ...| alinush.github.io
tl;dr: What a beautiful construction!| alinush.github.io
We study various polynomial bases from the bias-variance perspective, and the derivative-control properties of the Bernstein basis. This concludes our series on polynomial regression.| Alex Shtoff
We demonstrate an important use-case for Bernstein basis regularization in model calibration. We briefly discuss the use-cases of a well-calibrated machine learned classification model, and develop a simple calibrator that improves upon the ones provided by Scikit-Learn using regularization of the Bernstein basis.| Alex Shtoff
When is a polynomial in standard form? - How to write a polynomial in standard form? - Examples of polynomials in standard form.| Algebra practice problems
We explain what the leading term of a polynomial is and how to find it. With examples on identifying the leading term of a polynomial.| Algebra practice problems
We explain what the leading coefficient of a polynomial is and how to find it. With examples on identifying the leading coefficient of a polynomial.| Algebra practice problems
We explain how to evaluate algebraic expressions (with examples). ✅ Practice problems on evaluating algebraic expressions. ✅| Algebra practice problems
Here you will find what a zero polynomial is, also known as a null polynomial, and you will see examples of this type of polynomial. ✅| Algebra practice problems
What is the degree of a polynomial with one variable? How to find the degree of a polynomial with two variables (or more)? Explanation and practice problems.| Algebra practice problems
We explain what the remainder theorem is and how to use it with polynomials. ✅ With examples and practice problems on the remainder theorem. ✅| Algebra practice problems
We explain how to use synthetic division to divide polynomials. ✅ With examples and practice problems on dividing polynomials using synthetic division. ✅| Algebra practice problems
We explain what a monic polynomial is. ✅ With examples of monic polynomials and all the properties of a monic polynomial. ✅| Algebra practice problems
Explanation of what a homogeneous polynomial is, ✅ with examples of homogeneous polynomials of different degrees and all their properties. ✅| Algebra practice problems