Entropy | Theorems regarding stochastic processes
In probability theory, Dudley's theorem is a result relating the expected upper bound and regularity properties of a Gaussian process to its entropy and covariance structure. (Wikipedia).
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
An explanation of Stokes' theorem or Green's theorem in 3-space.
From playlist Advanced Calculus / Multivariable Calculus
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
What is Stokes theorem? - Formula and examples
► My Vectors course: https://www.kristakingmath.com/vectors-course Where Green's theorem is a two-dimensional theorem that relates a line integral to the region it surrounds, Stokes theorem is a three-dimensional version relating a line integral to the surface it surrounds. For that reaso
From playlist Vectors
Algebraic geometry 2 Two cubic curves.
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It discusses two examples of cubic curves: a nodal cubic, and an elliptic curve.
From playlist Algebraic geometry I: Varieties
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
A Beautiful Proof of Ptolemy's Theorem.
Ptolemy's Theorem seems more esoteric than the Pythagorean Theorem, but it's just as cool. In fact, the Pythagorean Theorem follows directly from it. Ptolemy used this theorem in his astronomical work. Google for the historical details. Thanks to this video for the idea of this visual
From playlist Mathy Videos
Yuval Peres - Breaking barriers in probability
http://www.lesprobabilitesdedemain.fr/index.html Organisateurs : Céline Abraham, Linxiao Chen, Pascal Maillard, Bastien Mallein et la Fondation Sciences Mathématiques de Paris
From playlist Les probabilités de demain 2016
Robert Dudley, 1st Earl of Leicester | Elizabethan England Revision for GCSE History
GCSE history is a great GCSE to learn about the whole and how modern life has been shaped by the past! These grades are the stepping stone to your future, the grades you get now will open doors in the future. Find the online course for GCSE history here https://primrosekitten.org/gcse-his
From playlist AQA GCSE History Revision Playlist
A Bird's Eye View of Audubon's Annual Christmas Bird Count (SciFri Live Zoom Call-in)
The Audubon Society's Annual Christmas Bird Count began this season on December 14th! Rewatch our conversation with Geoff LeBaron, Dudley Edmondson and Joanna Wu to discuss this birdwatching tradition, 120 years in the making. We also talk about this year’s bird sightings, advice for wint
From playlist SciFri Zoom Call-in Shows
Stanford CS229M - Lecture 9: Covering number approach, Dudley Theorem
Lecture 9: Covering number approach, Dudley Theorem (and implications). Generalization bounds for deep nets For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai To follow along with the course, visit: https://web.
From playlist Stanford CS229M: Machine Learning Theory - Fall 2021
Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 22, 2016 More videos on http://video.ias.edu
From playlist Analysis and Beyond
Number theory Full Course [A to Z]
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure #mathematics devoted primarily to the study of the integers and integer-valued functions. Number theorists study prime numbers as well as the properties of objects made out of integers (for example, ratio
From playlist Number Theory
2. "The Tree of Commonwealth": The Social Order in the Sixteenth Century
Early Modern England: Politics, Religion, and Society under the Tudors and Stuarts (HIST 251) Professor Wrightson provides a broad sketch of the social order of early modern England, focusing on the hierarchical language of "estates" and "degrees" and the more communitarian ideal of the
From playlist Early Modern England with Keith E. Wrightson
In this video we introduce Fermat's little theorem and give a proof using congruences. The content of this video corresponds to Section 7.2 of my book "Number Theory and Geometry" which you can find here: https://alozano.clas.uconn.edu/number-theory-and-geometry/
From playlist Number Theory and Geometry
Alan Turing and Number Theory - Yuri Matiyasevich (St. Petersburg) [2012]
slides for this talk: http://videolectures.net/site/normal_dl/tag=694395/turing100_matiyasevich_number_theory_01.pdf Alan Turing Centenary Conference Manchester, 2012 Alan Turing and Number Theory Yuri Matiyasevich, St.Petersburg Department of Steklov Mathematical Institute, Russian Aca
From playlist Mathematics
Introduction to Number Theory, Part 2: Greatest Common Divisors
The second video in a series about elementary number theory. We define the greatest common divisor of two numbers, and prove a useful theorem.
From playlist Introduction to Number Theory
Pythagorean Theorem VIII (Bhāskara's visual proof)
This is a short, animated visual proof of the Pythagorean theorem (the right triangle theorem) following essentially Bhāskara's proof (Behold!). 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. #math #manim #
From playlist Pythagorean Theorem
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
MIT 14.04 Intermediate Microeconomic Theory, Fall 2020 Instructor: Prof. Robert Townsend View the complete course: https://ocw.mit.edu/courses/14-04-intermediate-microeconomic-theory-fall-2020/ YouTube Playlist: https://www.youtube.com/watch?v=XSTSfCs74bg&list=PLUl4u3cNGP63wnrKge9vllow3Y2
From playlist MIT 14.04 Intermediate Microeconomic Theory, Fall 2020