Theory of numbers: Congruences: Euler's theorem
This lecture is part of an online undergraduate course on the theory of numbers. We prove Euler's theorem, a generalization of Fermat's theorem to non-prime moduli, by using Lagrange's theorem and group theory. As an application of Fermat's theorem we show there are infinitely many prim
From playlist Theory of numbers
Evaluate the integral with e as the lower bound
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of the integral of a function yields the original funct
From playlist Evaluate Using The Second Fundamental Theorem of Calculus
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
Learn to evaluate the integral with functions as bounds
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of the integral of a function yields the original funct
From playlist Evaluate Using The Second Fundamental Theorem of Calculus
Ptolemy's theorem and generalizations | Rational Geometry Math Foundations 131 | NJ Wildberger
The other famous classical theorem about cyclic quadrilaterals is due to the great Greek astronomer and mathematician, Claudius Ptolemy. Adopting a rational point of view, we need to rethink this theorem to state it in a purely algebraic way, without resort to `distances' and the correspon
From playlist Math Foundations
Abstract Algebra | The Second Isomorphism Theorem for Rings
We state and prove the second isomorphism theorem for rings. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Francesco Genovese - A derived Gabriel-Popescu Theorem for T-structures via derived injectives
Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/GenoveseNotesToposesOnline.pdf Joint work with Julia Ramos González In this short talk, we discuss a Gabriel-Popesc
From playlist Toposes online
Gabriel's Horn Paradox has a very interesting *spin* to it. The Gabriel's Horn volume is finite while Gabriel's Horn surface area is infinite! What can be done about this? This is sometimes known as the Gabriel's Horn painter's paradox It's time to have Gabriel's Horn explained. Let's do
From playlist Fun and Amazing Math
Calculus - The Fundamental Theorem, Part 2
The Fundamental Theorem of Calculus. A discussion of the antiderivative function and how it relates to the area under a graph.
From playlist Calculus - The Fundamental Theorem of Calculus
Euler's formulas, Rodrigues' formula
In this video I proof various generalizations of Euler's formula, including Rodrigues' formula and explain their 3 dimensional readings. Here's the text used in this video: https://gist.github.com/Nikolaj-K/eaaa80861d902a0bbdd7827036c48af5
From playlist Algebra
Images in Math - Pascal's Theorem
This video is about Pascal's Theorem.
From playlist Images in Math
Wiesława Nizioł: On comparison theorems for rigid analytic spaces
Recording during the meeting "p-adic Langlands Correspondence, Shimura Varieties and Perfectoids" the July 4, 2018 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematician
From playlist Algebraic and Complex Geometry
[ML News] DeepMind tackles Math | Microsoft does more with less | Timnit Gebru launches DAIR
#mlnews #deepmind #ai The most trusted model in News! Get started with Weights & Biases here: https://wandb.me/yannic (it's free forever for personal use) OUTLINE: 0:00 - Intro 0:15 - Sponsor: Weights & Biases 3:10 - DeepMind tackles fundamental math 6:45 - Microsoft focuses on scaling
From playlist All Videos
I. Chalendar - Sur les pas de Gabriel Koenigs
Sur les pas de Gabriel Koenigs : spectre des opérateurs de composition sur l’espace de Fréchet des fonctions holomorphes sur le disque unité Étant donnée une application holomorphe f du disque unité ouvert D dans lui-même, on considère T, l’opérateur de composition par f, qui est une
From playlist Rencontres du GDR AFHP 2019
Felix Klein Lectures 2020: Quiver moduli and applications, Markus Reineke (Bochum), Lecture 1
Quiver moduli spaces are algebraic varieties encoding the continuous parameters of linear algebra type classification problems. In recent years their topological and geometric properties have been explored, and applications to, among others, Donaldson-Thomas and Gromov-Witten theory have
From playlist Felix Klein Lectures 2020: Quiver moduli and applications, Markus Reineke (Bochum)
Exploiting Coherence in Quantum Thermodynamics by Gabriele De Chiara
PROGRAM CLASSICAL AND QUANTUM TRANSPORT PROCESSES: CURRENT STATE AND FUTURE DIRECTIONS (ONLINE) ORGANIZERS: Alberto Imparato (University of Aarhus, Denmark), Anupam Kundu (ICTS-TIFR, India), Carlos Mejia-Monasterio (Technical University of Madrid, Spain) and Lamberto Rondoni (Polytechni
From playlist Classical and Quantum Transport Processes : Current State and Future Directions (ONLINE)2022
8ECM Invited Lecture: Gabriel Peyré
From playlist 8ECM Invited Lectures
What are Congruent Parts of Two Triangles
👉 Learn how to find the corresponding pairs of congruent triangles. Two or more triangles are said to be congruent if they have the same shape and size. To determine the corresponding congruent parts of a triangle, we use the congruent markings of the triangle. For, instance, given two co
From playlist Congruent Triangles
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