Combinatorics

Barycentric-sum problem

Combinatorial number theory deals with number theoretic problems which involve combinatorial ideas in their formulations or solutions. Paul ErdΕ‘s is the main founder of this branch of number theory. Typical topics include covering system, zero-sum problems, various restricted sumsets, and arithmetic progressions in a set of integers. Algebraic or analytic methods are powerful in this field. In combinatorial number theory, the barycentric-sum problems are questions that can be answered using combinatorial techniques. The context of barycentric-sum problems are the barycentric sequences. (Wikipedia).

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Trigonometry 6 The Sine of the Sum and the Difference of Two Angles

A description of the sine function of the sum and difference of two angles.

From playlist Trigonometry

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Learning the easy way to solve a a rational equation by using the LCD

πŸ‘‰ Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for

From playlist How to Solve Proportions with Trinomials

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How to use the LCD to help us solve a rational equation

πŸ‘‰ Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for

From playlist How to Solve Rational Equations

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OpenGL - rasterization

Details of the triangle rasterization process. Not essential for the rest of the series. (revision of an earlier video: some restructuring and narration fixes)

From playlist OpenGL

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Emilie Purvine (5/2/21): Homology of Graphs and Hypergraphs

Graphs and hypergraphs are typically studied from a combinatorial perspective. A graph being a collection of vertices and pairwise relationships (edges) among the vertices, and a hypergraph capturing multi-way or groupwise relationships (hyperedges) among the vertices. But both of these ob

From playlist TDA: Tutte Institute & Western University - 2021

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Ch02n1: Barycentric forms of Lagrange polynomials

Barycentric forms of Lagrange polynomials. Numerical Computation, Chapter 2, additional video no 1. To be viewed after video ch2.2. Wen Shen, Penn State, 2018.

From playlist CMPSC/MATH 451 Videos. Wen Shen, Penn State University

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Archimedes and the Law of the Lever Module 3: Vectors and Barycentric Co-ordinates

This is the third Module in the PD course (for high school maths educators) Mathematics in The Modern World: Archimedes and the Law of the Lever, which is available at https://www.openlearning.com/courses/archimedesthelawofthelever. In this Module, we look at Archimedes' Law of the Lever

From playlist Mathematics in The Modern World: PD courses for teachers

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Jean-Yves Welschinger: Expected topology of a random subcomplex in a simplicial complex

Abstract: I will explain how to bound from above and below the expected Betti numbers of a random subcomplex in a simplicial complex and get asymptotic results under infinitely many barycentric subdivisions. This is a joint work with Nermin Salepci. It complements previous joint works with

From playlist Probability and Statistics

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Affine Combinations and Barycentric Coords | Algebraic Calculus One | Wild Egg

In this video we show how affine combinations and barycentric coordinates express mathematically what Archimedes' Law of the Lever captures in terms of the centre of mass of a triangle. We examine both the one dimensional case of a segment, as well as the more general two dimensional case

From playlist Algebraic Calculus One from Wild Egg

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Word Problems using trigonometry and bearings

πŸ‘‰ Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to solve these problems it is important that you have a gr

From playlist Evaluate Inverse Trigonometric Functions

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Word Problems using trigonometry and bearings

πŸ‘‰ Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to solve these problems it is important that you have a gr

From playlist Evaluate Inverse Trigonometric Functions

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WildLinAlg3: Center of mass and barycentric coordinates

Please watch: "UNSWTV: Entertaining your curiosity" https://www.youtube.com/watch?v=bQ7UO8nxiL0 -~-~~-~~~-~~-~- This video introduces several important applications of vectors. First we review the connections with force, velocity and acceleration, and introduce some games. Then we study

From playlist A first course in Linear Algebra - N J Wildberger

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FEM@LLNL | Unifying the Analysis of Geometric Decomposition in FEEC

Sponsored by the MFEM project, the FEM@LLNL Seminar Series focuses on finite element research and applications talks of interest to the MFEM community. On March 22, 2022, Tobin Isaac of Georgia Tech presented "Unifying the Analysis of Geometric Decomposition in FEEC." Two operations take

From playlist FEM@LLNL Seminar Series

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How to use trigonometry values to solve a word problem - Learn math online

πŸ‘‰ Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to solve these problems it is important that you have a gr

From playlist Evaluate Inverse Trigonometric Functions

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Word Problems with trigonometry and triangles

πŸ‘‰ Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to solve these problems it is important that you have a gr

From playlist Evaluate Inverse Trigonometric Functions

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Word Problems with trigonometry and triangles

πŸ‘‰ Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to solve these problems it is important that you have a gr

From playlist Evaluate Inverse Trigonometric Functions

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Word Problems with trigonometry and triangles

πŸ‘‰ Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to solve these problems it is important that you have a gr

From playlist Evaluate Inverse Trigonometric Functions

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Lecture 14: Discrete Surfaces (Discrete Differential Geometry)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg

From playlist Discrete Differential Geometry - CMU 15-458/858

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Word Problems with trigonometry and triangles

πŸ‘‰ Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to solve these problems it is important that you have a gr

From playlist Evaluate Inverse Trigonometric Functions

Related pages

Covering system | Zero-sum problem | Arithmetic progression | Restricted sumset | Combinatorics | Paul ErdΕ‘s | Abelian group | Number theory