Today, we define the factorial of a matrix using the pi function and power series.
From playlist Linear Algebra
extending the factorial (the Gamma function & the Pi function)
The usual definition for a factorial only works for positive whole numbers, but how can we take the factorial of any number? Here we will discuss the Pi Function which is defined in terms of an improper integral and it is also the cousin of the Gamma function. I also show the properties of
From playlist Factorial Family, #MathForFun
Determine Generating Functions of Sequences from Known Generating Functions (Part 2)
This video explains how to determine generating functions of sequences from known generating functions. mathispower4u.com
From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)
Factoring a binomial using distributive property
👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then the quadratic can be factored easily using the diffe
From playlist Factor Quadratic Expressions | Difference of Two Squares
Simplifying a factorial divided by another factorial
👉 Learn all about factorials. Factorials are the multiplication of a number in descending integer values back to one. Factorials are used often in sequences, series, permutations, and combinations. Factorial quotient expressions are simplified by canceling out common integer products or
From playlist Sequences
Master Solving quadratic equations by factoring when a is not 1
Subscribe! http://www.freemathvideos.com Welcome, ladies and gentlemen. So what I'd like to do is show you how to solve quadratic equations by using factoring when a is not equal to 1. So basically, it's going to be very similar to what we have done when a was equal to 1, but there's a lit
From playlist Quadratic Functions #Master
Karol Penson - Hausdorff moment problems for combinatorial numbers: heuristics via Meijer (...)
We report on further investigations of combinatorial sequences in form of integral ratios of factorials. We conceive these integers as Hausdorff power moments for weights W (x), concentrated on the support x ∈ (0, R), and we solve this mo- ment problem by furnishing the exact expressions f
From playlist Combinatorics and Arithmetic for Physics: Special Days 2022
👉Learn the basics of factoring quadratics by using different techniques. Some of the techniques used in factoring quadratics include: when the coefficient of the squared term is not 1. In that case, we first write the quadratic in standard form, next we multiply the coefficient of the squa
From playlist Factor Quadratic Expressions
From playlist Contributed talks One World Symposium 2020
Probability and Random variables by VijayKumar Krishnamurthy
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 Wint
From playlist Winter School on Quantitative Systems Biology
Jon Keating: Random matrices, integrability, and number theory - Lecture 4
Abstract: I will give an overview of connections between Random Matrix Theory and Number Theory, in particular connections with the theory of the Riemann zeta-function and zeta functions defined in function fields. I will then discuss recent developments in which integrability plays an imp
From playlist Analysis and its Applications
Statistical Mechanics Lecture 3
(April 15, 20123) Leonard Susskind begins the derivation of the distribution of energy states that represents maximum entropy in a system at equilibrium. Originally presented in the Stanford Continuing Studies Program. Stanford University: http://www.stanford.edu/ Continuing Studies P
From playlist Course | Statistical Mechanics
Roland Bauerschmidt - The Renormalisation Group - a Mathematical Perspective (2/4)
In physics, the renormalisation group provides a powerful point of view to understand random systems with strong correlations. Despite advances in a number of particular problems, in general its mathematical justification remains a holy grail. I will give an introduction to the main concep
From playlist Roland Bauerschmidt - The Renormalisation Group - a Mathematical Perspective
Foundations - Seminar 11 - Gödel's incompleteness theorem Part 3
Billy Price and Will Troiani present a series of seminars on foundations of mathematics. In this seminar Will Troiani continues with the proof of Gödel's incompleteness theorem, discussing Gödel's beta function and the role of the Chinese Remainder theorem in the incompleteness theorem. Y
From playlist Foundations seminar
Introduction to Probability and Statistics 131B. Lecture 01.
UCI Math 131B: Introduction to Probability and Statistics (Summer 2013) Lec 01. Introduction to Probability and Statistics View the complete course: http://ocw.uci.edu/courses/math_131b_introduction_to_probability_and_statistics.html Instructor: Michael C. Cranston, Ph.D. License: Creativ
From playlist Introduction to Probability and Statistics 131B
Tides in binary star systems (Lecture - 01) by Tanja Hinderer
Summer School on Gravitational-Wave Astronomy DATE: 17 July 2017 to 28 July 2017 VENUE: Madhava Lecture Hall, ICTS Bangalore This school is a part of the annual ICTS summer schools in gravitational wave astronomy. This year’s school will focus on the physics and astrophysics of compact
From playlist Summer School on Gravitational-Wave Astronomy - 2017
Non-equilibrium statistical physics: Introductory examples (Lecture - 02) by Sidney Redner
Bangalore School on Statistical Physics - VIII DATE: 28 June 2017 to 14 July 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru This advanced level school is the eighth in the series. This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics in s
From playlist Bangalore School on Statistical Physics - VIII
