The Campbell-Baker-Hausdorff and Dynkin formula and its finite nature
In this video explain, implement and numerically validate all the nice formulas popping up from math behind the theorem of Campbell, Baker, Hausdorff and Dynkin, usually a.k.a. Baker-Campbell-Hausdorff formula. Here's the TeX and python code: https://gist.github.com/Nikolaj-K/8e9a345e4c932
From playlist Algebra
AMAZING Formula For Pi (π) - The Wallis Product
Start with the pair of fractions (2/1)(2/3). Now increment each number by 2 to get the pair of fractions (4/3)(4/5). Repeat this to get the next pair, and repeat this infinitely many times. If you then multiply all the fractions, you get a marvelous value: it is equal to pi divided by 2. T
From playlist Pi
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
Binet's formula | Lecture 5 | Fibonacci Numbers and the Golden Ratio
Derivation of Binet's formula, which is a closed form solution for the Fibonacci numbers. Join me on Coursera: https://www.coursera.org/learn/fibonacci Lecture notes at http://www.math.ust.hk/~machas/fibonacci.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confir
From playlist Fibonacci Numbers and the Golden Ratio
Learn to use induction to prove that the sum formula works for every term
👉 Learn how to apply induction to prove the sum formula for every term. Proof by induction is a mathematical proof technique. It is usually used to prove that a formula written in terms of n holds true for all natural numbers: 1, 2, 3, . . . To prove by induction, we first show that the f
From playlist Sequences
Learn to use induction to prove the sum formula of a series
👉 Learn how to apply induction to prove the sum formula for every term. Proof by induction is a mathematical proof technique. It is usually used to prove that a formula written in terms of n holds true for all natural numbers: 1, 2, 3, . . . To prove by induction, we first show that the f
From playlist Sequences
Leibniz formula for computing determinants | Lecture 30 | Matrix Algebra for Engineers
How to compute the determinant using the Leibniz formula (big formula). Join me on Coursera: https://www.coursera.org/learn/matrix-algebra-engineers Lecture notes at http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jcha
From playlist Matrix Algebra for Engineers
Coalescent processes with multiple mergers of ancestral lines by John Wakeley
Second Bangalore School on Population Genetics and Evolution URL: http://www.icts.res.in/program/popgen2016 DESCRIPTION: Just as evolution is central to our understanding of biology, population genetics theory provides the basic framework to comprehend evolutionary processes. Population
From playlist Second Bangalore School on Population Genetics and Evolution
Jochen Blath: Genetic variability under the seed bank coalescent
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist SPECIAL 7th European congress of Mathematics Berlin 2016.
8ECM Invited Lecture: Alison Etheridge
From playlist 8ECM Invited Lectures
Using induction to prove that the sum formula works for any term
👉 Learn how to apply induction to prove the sum formula for every term. Proof by induction is a mathematical proof technique. It is usually used to prove that a formula written in terms of n holds true for all natural numbers: 1, 2, 3, . . . To prove by induction, we first show that the f
From playlist Sequences
Henrik Hult: Power-laws and weak convergence of the Kingman coalescent
The Kingman coalescent is a fundamental process in population genetics modelling the ancestry of a sample of individuals backwards in time. In this paper, weak convergence is proved for a sequence of Markov chains consisting of two components related to the Kingman coalescent, under a pare
From playlist Probability and Statistics
Dimitri Zvonkine - On two ELSV formulas
The ELSV formula (discovered by Ekedahl, Lando, Shapiro and Vainshtein) is an equality between two numbers. The first one is a Hurwitz number that can be defined as the number of factorizations of a given permutation into transpositions. The second is the integral of a characteristic class
From playlist 4th Itzykson Colloquium - Moduli Spaces and Quantum Curves
From playlist Contributed talks One World Symposium 2020
Writing: Narrative — How-to example | Reading & Writing | SAT | Khan Academy
Watch Sal work through an SAT Writing: Narrative passage. Watch the next lesson: https://www.khanacademy.org/test-prep/new-sat/new-sat-math/new-sat-heart-of-algebra/v/sat-math-h6-easier?utm_source=YT&utm_medium=Desc&utm_campaign=NewSAT Missed the previous lesson? https://www.khanacademy
From playlist Reading & Writing | New SAT | Khan Academy
Discussion of homework problems by Kavita Jain
PROGRAM : PREPARATORY SCHOOL ON POPULATION GENETICS AND EVOLUTION ORGANIZERS : Deepa Agashe and Kavita Jain DATE & TIME : 04 February 2019 to 10 February 2019 VENUE :Ramanujan Lecture Hall, ICTS Bangalore The 2019 preparatory school on Population Genetics and Evolution (PGE2019) will be
From playlist Preparatory School on Population Genetics and Evolution
Population genetic models of rapid adaptation by Richard Neher
Winter School on Quantitative Systems Biology DATE:04 December 2017 to 22 December 2017 VENUE:Ramanujan Lecture Hall, ICTS, Bengaluru The International Centre for Theoretical Sciences (ICTS) and the Abdus Salam International Centre for Theoretical Physics (ICTP), are organizing a Winter S
From playlist Winter School on Quantitative Systems Biology
Amaury Lambert (Paris) -- Coevolving genes and species (Third of three lectures)
Due to recombination and to hybridization between species, the genealogies of genes, even sampled from distantly related species, are usually different at different genes, and (so) distinct from the species tree. We review models coupling gene trees and species tree, including the popular
From playlist Columbia Probability Seminar
Cramer's Rule for Three Linear Equations
Linear Algebra: Using Cramer's Rule, find all solutions to the system of linear equations x+y = 3, 2x +y+z=2, -y=4.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
