Pick's theorem

Introduction to additive combinatorics lecture 1.8 --- Plünnecke's theorem

In this video I present a proof of Plünnecke's theorem due to George Petridis, which also uses some arguments of Imre Ruzsa. Plünnecke's theorem is a very useful tool in additive combinatorics, which implies that if A is a set of integers such that |A+A| is at most C|A|, then for any pair

From playlist Introduction to Additive Combinatorics (Cambridge Part III course)

What is the Riemann Hypothesis?

This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation

From playlist Mathematics

Riemann Sum Defined w/ 2 Limit of Sums Examples Calculus 1

I show how the Definition of Area of a Plane is a special case of the Riemann Sum. When finding the area of a plane bound by a function and an axis on a closed interval, the width of the partitions (probably rectangles) does not have to be equal. I work through two examples that are rela

From playlist Calculus

Introduction to additive combinatorics lecture 10.8 --- A weak form of Freiman's theorem

In this short video I explain how the proof of Freiman's theorem for subsets of Z differs from the proof given earlier for subsets of F_p^N. The answer is not very much: the main differences are due to the fact that cyclic groups of prime order do not have lots of subgroups, so one has to

From playlist Introduction to Additive Combinatorics (Cambridge Part III course)

Understanding and computing the Riemann zeta function

In this video I explain Riemann's zeta function and the Riemann hypothesis. I also implement and algorithm to compute the return values - here's the Python script:https://gist.github.com/Nikolaj-K/996dba1ff1045d767b10d4d07b1b032f

From playlist Programming

Pythagorean Theorem I (visual proof)

This is a short, animated visual proof of the Pythagorean theorem (the right triangle theorem) using the hypotenuses of scaled triangles. This theorem states the square of the hypotenuse of a right triangle is equal to the sum of squares of the two other side lengths. #mathshorts #mathvide

From playlist Pythagorean Theorem

How to find the position function given the acceleration function

👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the

From playlist Riemann Sum Approximation

Proof of Lemma and Lagrange's Theorem

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div

From playlist Abstract Algebra

The Cayley-Hamilton Theorem is Easy with F[x]-Modules

Invariant factors proof: https://youtu.be/gWIRI43h0ic Characteristic polynomial explanation: https://youtu.be/jCt6mR3QtPk Intro to F[x]-modules: https://youtu.be/H44q_Urmts0 The Cayley-Hamilton theorem says that every matrix is a root of its own characteristic polynomial, det(xI-A). Wit

From playlist Ring & Module Theory

Worldwide Calculus: Stokes' Theorem

Lecture on 'Stokes' Theorem' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Integration and Vector Fields

Intermediate value theorem | Existence theorems | AP Calculus AB | Khan Academy

Introduction to the Intermediate value theorem. If f is a continuous function over [a,b], then it takes on every value between f(a) and f(b) over that interval. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/v/extreme-value-theorem?

From playlist Limits and continuity | AP Calculus BC | Khan Academy

Persi Diaconis: Haar-distributed random matrices - in memory of Elizabeth Meckes

Elizabeth Meckes spent many years studying properties of Haar measure on the classical compact groups along with applications to high dimensional geometry. I will review some of her work and some recent results I wish I could have talked about with her.

From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability

How to use the Intermediate Value Theorem (KristaKingMath)

► My Limits & Continuity course: https://www.kristakingmath.com/limits-and-continuity-course The Intermediate Value Theorem is a continuity theorem that allows you to prove that a function has at least one solution or root in a given interval. Oftentimes it's used to show that a graph cro

From playlist Calculus I

ʕ•ᴥ•ʔ Intermediate Value Theorem Explained Properly.. Finally!

Quickly master Intermediate Value Theorem. Watch more lessons like this and try our practice at https://www.studypug.com/calculus-help/limits/intermediate-value-theorem Watch more step by step examples at https://www.studypug.com === Follow us YOUTUBE http://www.youtube.com/c/StudyPug

From playlist Calculus

The Binomial Theorem | A-level Mathematics

Understanding the binomial theorem. Thanks for watching! This is applicable when the exponent of the binomial is a natural number. If the exponent is a fraction, you need a slightly different version of this theorem which is a topic for another video. ❤️ ❤️ ❤️ Support the channel ❤️

From playlist A-level Mathematics Revision

Minimal surface stability in higher codimension - Richard Schoen

Glimpses of Mathematics, Now and Then: A Celebration of Karen Uhlenbeck's 80th Birthday Topic: Minimal surface stability in higher codimension Speaker: Richard Schoen Affiliation: University of California, Irvine Date: September 16, 2022

From playlist Mathematics

Testing Correlations and Inverse Theorems - Hamed Hatami

Hamed Hatami Institute for Advanced Study/Princeton University February 23, 2010 The uniformity norms are defined in different contexts in order to distinguish the ``typical'' random functions, from the functions that contain certain structures. A typical random function has small uniform

From playlist Mathematics

The Intermediate Value Theorem

This is a full introduction to the Intermediate Value Theorem. If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com Free Homework Help : https://mathsorcererforums.com/ My FaceBook Page: https://www.faceboo

From playlist Math Tutorials

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

Pick's theorem: The wrong, amazing proof

A video on what proofs in mathematics are for, using Pick's theorem as an example. PBS Infinite Series's video: https://youtu.be/bYW1zOMCQno

From playlist Summer of Math Exposition Youtube Videos