tl;dr: Forget univariate. Forget FFTs. Multilinear polynomials are the bomb!$\def\bin{\{0,1\}}\def\eq{\mathsf{eq}}\def\SC{\mathsf{SumCheck}}\def\MLE#1{\maths...| alinush.github.io
A couple recent questions asked what constitutes “standard form” for a quadratic equation; that will lead us to some older questions about “standard form” for a linear equation. We’ll see that “standard” isn’t quite as standard as you might think. Standard form for a quadratic The first question is from Charliemagne, a teacher (apparently in …Is There More Than One Standard Form for an Equation? Read More »| The Math Doctors
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