Articles containing proofs | Inequalities | Topological graph theory

Crossing number inequality

In the mathematics of graph drawing, the crossing number inequality or crossing lemma gives a lower bound on the minimum number of crossings of a given graph, as a function of the number of edges and vertices of the graph. It states that, for graphs where the number e of edges is sufficiently larger than the number n of vertices, the crossing number is at least proportional to e3/n2. It has applications in VLSI design and combinatorial geometry,and was discovered independently by Ajtai, Chvátal, Newborn, and Szemerédiand by Leighton. (Wikipedia).

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Inequality Practice

practice with difference inequalities

From playlist Geometry

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Solving and Graphing an inequality when the solution point is a decimal

👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l

From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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Graphing an inequality with variables and parenthesis on both sides

👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l

From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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Learn how to solve a multi step inequality and graph the solution

👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l

From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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Solving and graphing a multi-step inequality

👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l

From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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Why do we have to flip the sign when we divide or multiply by negative one - Cool Math

👉 Learn about solving an inequality and graphing it's solution. An inequality is a relation where the expression in the left hand side is not equal to the expression in the right hand side of the inequality sign. A linear inequality is an inequality whose highest power in the variable(s) i

From playlist Solve and Graph Inequalities | Learn About

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Solving and graphing an inequality

👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l

From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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Solving a multi-step inequality and then graphing

👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l

From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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26. Sum-product problem and incidence geometry

MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX A famous open problem says that no set of integers can si

From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019

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Solving Quadratic Inequalities (Precalculus - College Algebra 25)

Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com How to solve quadratic inequalities, what they mean, and what we will use it for later.

From playlist Precalculus - College Algebra/Trigonometry

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Inequalities with Polynomial Functions (Precalculus - College Algebra 46)

Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com How to solve inequalities that involve polynomial functions beyond quadratic. Focus will be on solving inequalities with a graphical approach using multiplicity of x-intercep

From playlist Precalculus - College Algebra/Trigonometry

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Inequalities part 4: regions

Inequalities part 4 of 4 The final step in this topic is drawing inequalities on a graph, often referred to as "regions" Part 1: Notation https://youtu.be/XtfhOYCxXyU Part 2: Representing on a Number Line https://youtu.be/1rlYu1I0bUQ Part 3: Solving Inequalities https://youtu.be/UiDl6U

From playlist Year 10 Inequalities

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Solving and graphing an inequality by multiplying by a fraction on one side ex 12

👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l

From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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A-Level Maths: B5-13 [Inequalities: More Examples of Solving Quadratic Inequalities]

Navigate all of my videos at https://sites.google.com/site/tlmaths314/ Like my Facebook Page: https://www.facebook.com/TLMaths-1943955188961592/ to keep updated Follow me on Instagram here: https://www.instagram.com/tlmaths/ My LIVE Google Doc has the new A-Level Maths specification and

From playlist A-Level Maths B5: Inequalities

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A-Level Maths: B5-14 [Inequalities: Solving More Complicated Quadratic Inequalities]

Navigate all of my videos at https://sites.google.com/site/tlmaths314/ Like my Facebook Page: https://www.facebook.com/TLMaths-1943955188961592/ to keep updated Follow me on Instagram here: https://www.instagram.com/tlmaths/ My LIVE Google Doc has the new A-Level Maths specification and

From playlist A-Level Maths B5: Inequalities

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Intermediate Algebra Lecture 9.4: How to Graph Systems of Linear Inequalities

https://www.patreon.com/ProfessorLeonard Intermediate Algebra Lecture 9.4: How to Graph Systems of Linear Inequalities

From playlist Intermediate Algebra (Full Length Videos)

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AQA Level 2 GCSE Further Mathematics Inequalities | Solving Linear & Quadratic Inequalities (Bonus)!

Dear all I am making maths videos and also a maths tutor for all levels. Offer online+ Face to Face. Check out my website for more information www.abdallahmathstutoring.co.uk Also i sell products on etsy.com/AWMathsStationary for calculators and books. Books are all 50 pence for all lev

From playlist AQA Higher Tier GCSE Maths

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Intermediate Algebra-Linear Inequalities in Two Variables

Intermediate Algebra-Linear Inequalities in Two Variables

From playlist Intermediate Algebra

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A-Level Maths B5-12 [Inequalities: Examples of Solving Quadratic Inequalities]

Navigate all of my videos at https://sites.google.com/site/tlmaths314/ Like my Facebook Page: https://www.facebook.com/TLMaths-1943955188961592/ to keep updated Follow me on Instagram here: https://www.instagram.com/tlmaths/ Many, MANY thanks to Dean @deanencoded for designing my openin

From playlist A-Level Maths B5: Inequalities

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Solving a multi step inequality

👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l

From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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Random graph | Graph (discrete mathematics) | Expected value | Beck's theorem (geometry) | K-set (geometry) | Probabilistic method | Vertex (graph theory) | Inequality (mathematics) | Planar graph | Szemerédi–Trotter theorem | Incidence (geometry) | Probability | Girth (graph theory) | Proportionality (mathematics) | Crossing number (graph theory)