Affine geometry | Geometric dissection | Discrete geometry
In geometry, an equidissection is a partition of a polygon into triangles of equal area. The study of equidissections began in the late 1960s with Monsky's theorem, which states that a square cannot be equidissected into an odd number of triangles. In fact, most polygons cannot be equidissected at all. Much of the literature is aimed at generalizing Monsky's theorem to broader classes of polygons. The general question is: Which polygons can be equidissected into how many pieces? Particular attention has been given to trapezoids, kites, regular polygons, centrally symmetric polygons, polyominos, and hypercubes. Equidissections do not have many direct applications. They are considered interesting because the results are counterintuitive at first, and for a geometry problem with such a simple definition, the theory requires some surprisingly sophisticated algebraic tools. Many of the results rely upon extending p-adic valuations to the real numbers and extending Sperner's lemma to more general colored graphs. (Wikipedia).
The method of determining eigenvalues as part of calculating the sets of solutions to a linear system of ordinary first-order differential equations.
From playlist A Second Course in Differential Equations
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (5 of 35) What is an Eigenvector?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and show (in general) what is and how to find an eigenvector. Next video in this series can be seen at: https://youtu.be/SGJHiuRb4_s
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS
10A An Introduction to Eigenvalues and Eigenvectors
A short description of eigenvalues and eigenvectors.
From playlist Linear Algebra
Irrigation Efficiencies - Part 1
From playlist TEMP 1
A11 Eigenvalues with complex numbers
Eigenvalues which contain complex numbers.
From playlist A Second Course in Differential Equations
Changing notation with complex eigenvalues.
From playlist A Second Course in Differential Equations
Finding Eigenvalues and Eigenvectors
In studying linear algebra, we will inevitably stumble upon the concept of eigenvalues and eigenvectors. These sound very exotic, but they are very important not just in math, but also physics. Let's learn what they are, and how to find them! Script by Howard Whittle Watch the whole Math
From playlist Mathematics (All Of It)
Eigendecomposition : Data Science Basics
What is an eigendecomposition and why is it useful for data science? Eigenvalues and Eigenvectors Video: https://www.youtube.com/watch?v=glaiP222JWA
From playlist Data Science Basics
Eigenvalues + eigenvectors example
Free ebook http://tinyurl.com/EngMathYT I show how to calculate the eigenvalues and eigenvectors of a matrix for those wanting to review their understanding.
From playlist Engineering Mathematics
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (2 of 35) What Are Eigenvalues? (Part 2)
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and show the eigenvalue, lambda, is derived from a matrix (Part 2). Next video in this series can be seen at: https://youtu.be/A_unWhKa7Sw
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS