Articles containing proofs | Mathematical identities | Factorial and binomial topics
In combinatorics, Vandermonde's identity (or Vandermonde's convolution) is the following identity for binomial coefficients: for any nonnegative integers r, m, n. The identity is named after Alexandre-Théophile Vandermonde (1772), although it was already known in 1303 by the Chinese mathematician Zhu Shijie. There is a q-analog to this theorem called the q-Vandermonde identity. Vandermonde's identity can be generalized in numerous ways, including to the identity (Wikipedia).
B. L. van der Waerden's life before Quantum Mechanics
In this video I speak about the early life of Bartel Leendert van der Waerden, from the university to Amsterdam, over Göttingen and Groningen. This covers Martina R. Schneider's book "Zwischen zwei Disziplinen", the content from about page 70 to 120. Here' some notes as .md file: https://
From playlist Physics
Portraits of Power - Hitler - The Road to Revenge Narrated by Henry Fonda Adolf Hitler (20 April 1889 -- 30 April 1945) was an Austrian-born German politician and the leader of the Nazi Party (German: Nationalsozialistische Deutsche Arbeiterpartei (NSDAP); National Socialist German Worker
From playlist Portraits of Power - Those who shaped the Twentieth Century
Portraits of Power - Hitler - Revenge to Ruin Narrated by Henry Fonda Adolf Hitler (20 April 1889 -- 30 April 1945) was an Austrian-born German politician and the leader of the Nazi Party (German: Nationalsozialistische Deutsche Arbeiterpartei (NSDAP); National Socialist German Workers Pa
From playlist Portraits of Power - Those who shaped the Twentieth Century
Photo Montage of Michel van Biezen (by Austin van Biezen)
Visit http://ilectureonline.com for more math and science lectures! This video is a picture montage of a snapshot of Michel van Biezen, produced and edited by Austin van Biezen.
From playlist MICHEL AND FAMILY
Matthew VanDyke: The Freedom Fighter (Episode 1) | History NOW
Matthew VanDyke is the founder of Sons of Liberty International, a security firm that advises, trains, and supplies vulnerable populations to defend themselves against terrorists. Subscribe to History NOW for more: https://www.youtube.com/c/GetHistoryNow?sub_confirmation=1 Watch mor
From playlist Watch History NOW | HISTORY
De Gaulle - Force of Character
Portraits of Power - DeGaulle - Force of Character Narrated by Henry Fonda Charles André Joseph Marie de Gaulle was a French general and statesman who led the Free French Forces during World War II. He later founded the French Fifth Republic in 1958 and served as its first president from
From playlist Portraits of Power - Those who shaped the Twentieth Century
The Binomial Chu Vandermonde Identity: a new unification? | Algebraic Calculus Two | Wild Egg Maths
We suggest a novel unification of the Binomial and Chu Vandermonde identities, leading to an unusual introduction of the exponential polyseries, along with Newton's reciprocal polyseries. The main idea is to introduce a generalization of Knuth's rising and falling powers notation, which w
From playlist Algebraic Calculus Two
The most UNDERRATED type of mathematical proof
Hi! In this video I talk about puppies, binomial coefficient, identities related to it and why combinatorial proofs are much better than the algebraic ones. I think I've only scratched a surface of the whole combinatorial proofs concept, but I guess it's a good start! Thanks for watching a
From playlist Summer of Math Exposition Youtube Videos
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
The Hero Of Tannenberg - Paul von Hindenburg I WHO DID WHAT IN WW1?
Meet Indy & the Crew at Stow Maries WW1 Aerodrome: http://bit.ly/TGWStowMaries Paul von Hindenburg's military career was already over when World War 1 broke out. He fought in legendary German battles like Königgrätz or Sedan and now was retired. But he returned in 1914 and became a living
From playlist World War 1 Essential Knowledge
Discrete Math II - 6.4.3 Other Identities Involving Binomial Coefficients
We finish up section 6.4 by looking at a few lesser-known identities. Your textbook contains combinatorial proofs for each identity that we discuss. I didn't want to regurgitate those, so I went through the intuition behind each identity. Video Chapters: Intro 0:00 Vandermonde's Identity
From playlist Discrete Math II/Combinatorics (entire course)
The Chu Vandermonde Identity | Algebraic Calculus Two | Wild Egg Maths
We introduce the Chu Vandermonde identity as a key ingredient in establishing Newton's polyseries theorem, which gives the fundamental multiplicative relation between the various extensions of the Binomial theorem that Newton discovered for rational powers. Along the way we look at the as
From playlist Algebraic Calculus Two
Trip Through Center of The Hague, Holland
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From playlist Walter Lewin is Alive and Well!
Newton's Identity, Lesson 6.2: Computation of Cubic Discriminant by Vandermonde Matrix
In previous lecture, we use two methods to calculate the expression of discriminant of cubic equations in terms of elementary symmetric polynomials. We now use yet another method to calculate the discriminant: the Vandermonde Matrix
From playlist Newton's Identity for polynomials
France Since 1871 (HIST 276) Charles de Gaulle's importance in postwar French political life was matched by his importance in the nation's collective imagination. This authority was consciously contrived by de Gaulle, who wished to bear upon his figurative body the will of the French pe
From playlist France Since 1871 with John Merriman
19. Saddle Points Continued, Maxmin Principle
MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018 Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k Professor Strang c
From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018
Piotr Sułkowski (6/28/17) Bedlewo: Topological recursion, chord diagrams, and RNA complexes
I will introduce the topological recursion, which is a universal formalism — originating in the realm of matrix models — which assigns an infinite family of symplectic invariants to a given algebraic curve. I will illustrate the power of this formalism by showing how it can be used to solv
From playlist Applied Topology in Będlewo 2017
Lec 18 | MIT 18.086 Mathematical Methods for Engineers II
Krylov Methods / Multigrid Continued View the complete course at: http://ocw.mit.edu/18-086S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.086 Mathematical Methods for Engineers II, Spring '06
De Gaulle - Republican Monarch
Portraits of Power - DeGaulle - Republican Monarch Narrated by Henry Fonda Charles André Joseph Marie de Gaulle was a French general and statesman who led the Free French Forces during World War II. He later founded the French Fifth Republic in 1958 and served as its first president from
From playlist Portraits of Power - Those who shaped the Twentieth Century
Random Matrix Theory and its Applications by Satya Majumdar ( Lecture 3 )
PROGRAM BANGALORE SCHOOL ON STATISTICAL PHYSICS - X ORGANIZERS : Abhishek Dhar and Sanjib Sabhapandit DATE : 17 June 2019 to 28 June 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the tenth in the series. This is a pedagogical school, aimed at bridgin
From playlist Bangalore School on Statistical Physics - X (2019)