Polynomials | Field (mathematics)
An equally spaced polynomial (ESP) is a polynomial used in finite fields, specifically GF(2) (binary). An s-ESP of degree sm can be written as: for or (Wikipedia).
👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
Finding the missing value using similarity in triangles
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
CCSS What is the difference between Acute, Obtuse, Right and Straight Angles
👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
Given two similar triangles determine the values of x and y for the angles
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
You’ve heard about similar triangles, but do you know what technically makes two triangles similar? Informally, we can say that two triangles are similar if their associated angles are congruent. In other words, their angle measures have to be the same. However, the triangles don’t necess
From playlist Popular Questions
Determine the relationship between two angles
👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
What are adjacent angles and linear pairs
👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
Using a set of points to determine if two triangles are similar to each other
👉 Learn how to determine whether two triangles are similar given the coordinate points of the vertices of the triangle. Two triangles are said to be equal when the corresponding angles of the triangles are congruent (equal) or when the corresponding side lengths are proportional. When give
From playlist Similar Triangles
What are examples of adjacent angles
👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
Nonlinear algebra, Lecture 2: "Algebraic Varieties", by Mateusz Michałek
This is the second lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences. In this lecture, Mateusz Michalek describes the main characters in algebraic geometry: algebraic varieties.
From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra
A WEIRD VECTOR SPACE: Building a Vector Space with Symmetry | Nathan Dalaklis
We'll spend time in this video on a weird vector space that can be built by developing the ideas around symmetry. In the process of building a vector space with symmetry at its core, we'll go through a ton of different ideas across a handful of mathematical fields. Naturally, we will start
From playlist The New CHALKboard
Dual Lagrange Interpolation In this video, I present the ultimate linear algebra application: Using dual spaces, I derive one formula that includes both the midpoint rule, the trapezoidal rule, and Simpson's rule from calculus. This is really linear algebra at its finest, enjoy! Check ou
From playlist Dual Spaces
MAST30026 Lecture 16: Stone-Weierstrass theorem (Part 1)
The Weierstrass approximation theorem says that an arbitrary continuous function on a finite closed interval can be approximated uniformly by polynomials to any desired degree of accuracy. I proved this theorem using Bernstein polynomials. Lecture notes: http://therisingsea.org/notes/mas
From playlist MAST30026 Metric and Hilbert spaces
Polynomials applied to an operator. Proof that every operator on a finite-dimensional, nonzero, complex vector space has an eigenvalue (without using determinants!).
From playlist Linear Algebra Done Right
The Vector Space of Polynomials: Span, Linear Independence, and Basis
We normally think of vectors as little arrows in space. We add them, we multiply them by scalars, and we have built up an entire theory of linear algebra around these objects. However, it turns out that polynomials of degree less than or equal to n ALSO form a so called vector space; that
From playlist Linear Algebra (Full Course)
The complexification of a real vector space. The complexification of an operator on a real vector space. Every operator on a nonzero finite-dimensional real vector space has an invariant subspace of dimension 1 or 2. Every operator on an odd-dimensional real vector space has an eigenvalue.
From playlist Linear Algebra Done Right
Guy Rothblum : Privacy and Security via Randomized Methods - 4
Recording during the thematic meeting: «Nexus of Information and Computation Theories » theJanuary 28, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent
From playlist Nexus Trimester - 2016 -Tutorial Week at CIRM
Seminar on Applied Geometry and Algebra (SIAM SAGA): Jan Draisma
Date: Tuesday, April 13 at 11:00am Eastern time zone Speaker: Jan Draisma, Bern University / Eindhoven University of Technology Title: Infinite-dimensional geometry with symmetry Abstract: Most theorems in finite-dimensional algebraic geometry break down in infinite dimensions---for ins
From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)
Determining multiple missing values using congruent polygons
👉 Learn how to solve with similar polygons. Two polygons are said to be similar if the corresponding angles are congruent (equal). When two polygons are similar the corresponding sides are proportional. Knowledge of the length of the sides or the proportion of the side lengths of one of th
From playlist Congruent Polygons