Articles containing proofs | Theorems in discrete mathematics | Ramsey theory

Van der Waerden's theorem

Van der Waerden's theorem is a theorem in the branch of mathematics called Ramsey theory. Van der Waerden's theorem states that for any given positive integers r and k, there is some number N such that if the integers {1, 2, ..., N} are colored, each with one of r different colors, then there are at least k integers in arithmetic progression whose elements are of the same color. The least such N is the Van der Waerden number W(r, k), named after the Dutch mathematician B. L. van der Waerden. (Wikipedia).

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Physics - Thermodynamics: States: (8 of 10) Van Der Waal's Equation

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the Van Der Waal's equation Next video in this series can be seen at: https://youtu.be/GOrbIqmSvD0

From playlist PHYSICS - THERMODYNAMICS

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Physics - Thermodynamics 2: Ch 32.1 Def. and Terms (18 of 25) The van der Waals Eqn Interperted 2

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how the parameters change in van der Waals equation: example 2. Next video in this series can be seen at: https://youtu.be/k1mDmRPxpsY

From playlist PHYSICS 32.1 THERMODYNAMICS 2 BASIC TERMS

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B. L. van der Waerden's life before Quantum Mechanics

In this video I speak about the early life of Bartel Leendert van der Waerden, from the university to Amsterdam, over Göttingen and Groningen. This covers Martina R. Schneider's book "Zwischen zwei Disziplinen", the content from about page 70 to 120. Here' some notes as .md file: https://

From playlist Physics

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Physics - Thermodynamics 2: Ch 32.1 Def. and Terms (21 of 25) van der Waals Eqn Isotherms Other Form

Visit http://ilectureonline.com for more math and science lectures! In this video I will re-write the van der Waals equation in a different format (one that I prefer). Next video in this series can be seen at: https://youtu.be/9pH5F0l9UEc

From playlist PHYSICS 32.1 THERMODYNAMICS 2 BASIC TERMS

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Physics - Thermodynamics 2: Ch 32.1 Def. and Terms (17 of 25) The van der Waals Eqn Interperted 1

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how the parameters change in van der Waals equation: example 1. Next video in this series can be seen at: https://youtu.be/35iw0Yf-_o0

From playlist PHYSICS 32.1 THERMODYNAMICS 2 BASIC TERMS

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Physics - Thermodynamics 2: Ch 32.1 Def. and Terms (19 of 25) van der Waals Equation Isotherms

Visit http://ilectureonline.com for more math and science lectures! In this video I will look at the isotherms in the PV diagram using van der Waals equation. Next video in this series can be seen at: https://youtu.be/kLt9FS3AI0k

From playlist PHYSICS 32.1 THERMODYNAMICS 2 BASIC TERMS

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Physics - Thermodynamics 2: Ch 32.1 Def. and Terms (20 of 25) van der Waals Equation Isotherms

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the graphical representation of the van der Waals equation in terms of v. Next video in this series can be seen at: https://youtu.be/KkX-HNaX6Q8

From playlist PHYSICS 32.1 THERMODYNAMICS 2 BASIC TERMS

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Colouring Numbers - Numberphile

Fields Medallist Sir Timothy Gowers discusses Van der Waerden's theorem. Interview continues on Numberphile2 at: https://youtu.be/hHIfJcwipAY More links & stuff in full description below ↓↓↓ Timothy Gowers website: https://gowers.wordpress.com And his Twitter: https://twitter.com/wtgower

From playlist Fields Medallists on Numberphile

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Physics - Thermodynamics 2: Ch 32.1 Def. and Terms (16 of 25) The van der Waals Constant

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the van der Waals constants for various gases. Next video in this series can be seen at: https://youtu.be/fy-wEXYROaY

From playlist PHYSICS 32.1 THERMODYNAMICS 2 BASIC TERMS

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Probability & Statistics (6 of 62) De Morgan's Law Explained

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain De Morgan's Laws. Next video in series: http://youtu.be/ZuuXPW36OYU

From playlist Michel van Biezen: PROBABILITY & STATISTICS 1 BASICS

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Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 6

Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl

From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi

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Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 1

Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl

From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi

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Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 7

Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl

From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi

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Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 2

Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl

From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi

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Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics- part 4

Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl

From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi

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Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 3

Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl

From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi

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Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 5

Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl

From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi

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Colouring Numbers (extra) - Numberphile

This video continues from a previous video --- https://youtu.be/kE3OuzlkUnU Fields Medallist Sir Timothy Gowers discusses Van der Waerden's theorem. More links & stuff in full description below ↓↓↓ Timothy Gowers website: https://gowers.wordpress.com And his Twitter: https://twitter.co

From playlist Fields Medallists on Numberphile

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Physics - Thermodynamics 2: Ch 32.1 Def. and Terms (15 of 25) The van der Waals Equation

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the van der Waals equation. Next video in this series can be seen at: https://youtu.be/Wem3Q_V7nMs

From playlist PHYSICS 32.1 THERMODYNAMICS 2 BASIC TERMS

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Galois groups of random integer polynomials - Manjul Bharğava

Joint IAS/Princeton University Number Theory Seminar Topic: Galois groups of random integer polynomials Speaker: Manjul Bharğava Affiliation: Princeton University Date: April 21, 2022  Of the (2H+1)n monic integer polynomials f(x)=xn+a1xn−1+⋯+an with max{|a1|,…,|an|}≤H, how many have ass

From playlist Mathematics

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Van der waerden game | Arithmetic progression | Generalized arithmetic progression | Szemerédi's theorem | Mathematics | Integer | Ramsey theory | Ronald Graham | Van der Waerden number | Pigeonhole principle | Rado's theorem (Ramsey theory) | Mathematical induction | Hales–Jewett theorem