Mathematical theorems | Mathematical terminology
In mathematics, a toy theorem is a simplified instance (special case) of a more general theorem, which can be useful in providing a handy representation of the general theorem, or a framework for proving the general theorem. One way of obtaining a toy theorem is by introducing some simplifying assumptions in a theorem. In many cases, a toy theorem is used to illustrate the claim of a theorem, while in other cases, studying the proofs of a toy theorem (derived from a non-trivial theorem) can provide insight that would be hard to obtain otherwise. Toy theorems can also have educational value as well. For example, after presenting a theorem (with, say, a highly non-trivial proof), one can sometimes give some assurance that the theorem really holds, by proving a toy version of the theorem. (Wikipedia).
Prove that there is a prime number between n and n!
A simple number theory proof problem regarding prime number distribution: Prove that there is a prime number between n and n! Please Like, Share and Subscribe!
From playlist Elementary Number Theory
Learn about the Hinge Theorem in Geometry as well as the converse of the hinge theorem in this video math tutorial by Mario's Math Tutoring. We go through a number of example problems as well as discuss the reasoning behind why the hinge theorem works. We discuss how to compare two trian
From playlist Geometry
Theorems & Converses (3 of 3: A Counter-Example)
More resources available at www.misterwootube.com
From playlist Further Properties of Geometrical Figures
In this video, I present another example of Stokes theorem, this time using it to calculate the line integral of a vector field. It is a very useful theorem that arises a lot in physics, for example in Maxwell's equations. Other Stokes Example: https://youtu.be/-fYbBSiqvUw Yet another Sto
From playlist Vector Calculus
The Fundamental Theorem of Calculus and How to Use it
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Fundamental Theorem of Calculus and How to Use it
From playlist Calculus 1
This calculus limits video tutorial explains the squeeze theorem with plenty of examples and practice problems including trig functions with sin and cos (1/x). It explains the definition of the squeeze theorem and how to evaluate functions and limits using inequalities. My Website: http
From playlist New Calculus Video Playlist
The Prime Number Theorem, an introduction ← Number Theory
An introduction to the meaning and history of the prime number theorem - a fundamental result from analytic number theory. Narrated by Cissy Jones Artwork by Kim Parkhurst, Katrina de Dios and Olga Reukova Written & Produced by Michael Harrison & Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways t
From playlist Number Theory
Introduction to Number Theory, Part 1: Divisibility
The first video in a series about elementary number theory, following the book by Underwood Dudley. We define the basic concept of divisibility, and prove a fundamental lemma. Intro:(0:00) Definition of Divisibility:(6:40) Our First Theorem:(9:00)
From playlist Introduction to Number Theory
17/11/2015 - Mihalis Dafermos - The stability problem for black holes...
The stability problem for black holes & the cosmic censorship conjectures https://philippelefloch.files.wordpress.com/2015/11/2015-ihp-mihalisdafermos.pdf
From playlist 2015-T3 - Mathematical general relativity - CEB Trimester
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
Ana Caraiani: Vanishing theorems for Shimura varieties at infinite level
Recording during the thematic meeting "Cohomology of Algebraic Varieties" the October 18, 2018 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisu
From playlist Algebraic and Complex Geometry
Boundary regularity for area minimizing currents and a question of Almgren - Camillo De Lellis
Workshop on Mean Curvature and Regularity Topic: Boundary regularity for area minimizing currents and a question of Almgren Speaker: Camillo De Lellis Affiliation: Professor, School of Mathematics Date: November 6, 2018 For more video please visit http://video.ias.edu
From playlist Workshop on Mean Curvature and Regularity
L. Ramero - Perfectoid spaces and log-regular rings
I will present a generalization of Scholze's perfectoid spaces that includes the limits of certain very ramified towers of log-regular rings. This is part of an on-going joint work with Ofer Gabber.
From playlist Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday
Davoud Cheraghi: Arithmetic geometric models for the renormalisation of irrationally indifferent...
HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 23, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Récanzone Find this video and other talks given by worldwide mathematicians on CIRM's Audi
From playlist Virtual Conference
Mihalis Dafermos - The inside story of black hole stability and the strong...
...cosmic censorship conjecture in general relativity. Princeton University - January 28, 2016 This talk was part of "Analysis, PDE's, and Geometry: A conference in honor of Sergiu Klainerman."
From playlist Anlaysis, PDE's, and Geometry: A conference in honor of Sergiu Klainerman
Sophie Stevens: An update on the sum-product problem in R
Discussing recent work joint with M. Rudnev [2], I will discuss the modern approach to the sum-product problem in the reals. Our approach builds upon and simplifies the arguments of Shkredov and Konyagin [1], and in doing so yields a new best result towards the problem. We prove that $max
From playlist Virtual Conference
Lorenzo Brandolese: Large global solutions of the parabolic-parabolic Keller-Segel system in...
HYBRID EVENT Recorded during the meeting "Non-linear PDEs in Fluid Dynamics " the May 12, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovi
From playlist Jean-Morlet Chair - Hieber/Monniaux
Converse Pythagorean Theorem & Pythagorean Triples
I explain the Converse Pythagorean Theorem and what Pythagorean Triples are. Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage www.YouTube.com/Profro
From playlist Geometry
Mihalis Dafermos - The "inside story" of black hole stability
The "inside story" of black hole stability Licence: CC BY NC-ND 4.0
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale