Theorems about prime numbers | Modular arithmetic | Factorial and binomial topics

Vantieghems theorem

In number theory, Vantieghems theorem is a primality criterion. It states that a natural number n(n≥3) is prime if and only if Similarly, n is prime, if and only if the following congruence for polynomials in X holds: or: (Wikipedia).

Video thumbnail

The Vandermonde Matrix and Polynomial Interpolation

The Vandermonde matrix is a used in the calculation of interpolating polynomials but is more often encountered in the proof that such polynomial interpolates exist. It is also often encountered in the study of determinants since it has a really nice determinant formula. Chapters 0:00 - In

From playlist Interpolation

Video thumbnail

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

Video thumbnail

Vandermonde Determinant

Vandermonde determinant using row and column reductions. This time I'm giving a more systematic way which shows you how to prove it in the more general case. You do it inductively, but turning a big Vandermonde determinant into a smaller one. Check out my Determinants playlist: https://ww

From playlist Determinants

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

Calculus 1 (Stewart) Ep 22, Mean Value Theorem (Oct 28, 2021)

This is a recording of a live class for Math 1171, Calculus 1, an undergraduate course for math majors (and others) at Fairfield University, Fall 2021. The textbook is Stewart. PDF of the written notes, and a list of all episodes is at the class website. Class website: http://cstaecker.f

From playlist Math 1171 (Calculus 1) Fall 2021

Video thumbnail

Equidistribution of Unipotent Random Walks on Homogeneous spaces by Emmanuel Breuillard

PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis

From playlist Ergodic Theory and Dynamical Systems 2022

Video thumbnail

What is Green's theorem? Chris Tisdell UNSW

This lecture discusses Green's theorem in the plane. Green's theorem not only gives a relationship between double integrals and line integrals, but it also gives a relationship between "curl" and "circulation". In addition, Gauss' divergence theorem in the plane is also discussed, whic

From playlist Vector Calculus @ UNSW Sydney. Dr Chris Tisdell

Video thumbnail

Real Analysis Ep 32: The Mean Value Theorem

Episode 32 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is more about the mean value theorem and related ideas. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker

From playlist Math 3371 (Real analysis) Fall 2020

Video thumbnail

Pythagorean theorem - What is it?

► My Geometry course: https://www.kristakingmath.com/geometry-course Pythagorean theorem is super important in math. You will probably learn about it for the first time in Algebra, but you will literally use it in Algebra, Geometry, Trigonometry, Precalculus, Calculus, and beyond! That’s

From playlist Geometry

Video thumbnail

Wolfram Physics Project: Working Session Sept. 15, 2020 [Physicalization of Metamathematics]

This is a Wolfram Physics Project working session on metamathematics and its physicalization in the Wolfram Model. Begins at 10:15 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the

From playlist Wolfram Physics Project Livestream Archive

Video thumbnail

Johnathan Bush (7/8/2020): Borsuk–Ulam theorems for maps into higher-dimensional codomains

Title: Borsuk–Ulam theorems for maps into higher-dimensional codomains Abstract: I will describe Borsuk-Ulam theorems for maps of spheres into higher-dimensional codomains. Given a continuous map from a sphere to Euclidean space, we say the map is odd if it respects the standard antipodal

From playlist AATRN 2020

Video thumbnail

Worldwide Calculus: Extrema and the Mean Value Theorem

Lecture on 'Extrema and the Mean Value Theorem' from 'Worldwide Differential Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Worldwide Single-Variable Calculus for AP®

Video thumbnail

Stokes' Theorem and Green's Theorem

Stokes' theorem is an extremely powerful result in mathematical physics. It allows us to quantify how much a vector field is circulating or rotating, based on the integral of the curl. @eigensteve on Twitter eigensteve.com databookuw.com %%% CHAPTERS %%% 0:00 Stoke's Theorem Overview

From playlist Engineering Math: Vector Calculus and Partial Differential Equations

Video thumbnail

Green's Theorem. Chris Tisdell UNSW

This is the 2nd lecture on Green's theorem and its use. In this lecture we explore some interesting applications of Green's theorem and present several examples. Also some proofs are discussed.

From playlist Vector Calculus @ UNSW Sydney. Dr Chris Tisdell

Video thumbnail

Vandermonde Determinant

Vandermonde determinant using row and column reductions. This method uses row-reduction and is more elementary, but it's not clear how to generalize it to nxn determinants. In a previous video, I presented a systematic proof. Check out my Determinants playlist: https://www.youtube.com/pl

From playlist Determinants

Related pages

Prime number | Polynomial | Natural number | Modular arithmetic | Number theory