Polynomials | Field (mathematics)

Equally spaced polynomial

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).

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What are 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

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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

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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

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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

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What are 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

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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

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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

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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

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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

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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

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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

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Dual Lagrange Interpolation

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

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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

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Existence of Eigenvalues

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

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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)

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Complexification

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

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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

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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)

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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

Related pages

Hamming weight | Polynomial | GF(2) | All one polynomial | Finite field