Cohomology theories | Group theory
In mathematics, a factor system (sometimes called factor set) is a fundamental tool of Otto Schreier’s classical theory for group extension problem. It consists of a set of automorphisms and a binary function on a group satisfying certain condition (so-called cocycle condition). In fact, a factor system constitutes a realisation of the cocycles in the second cohomology group in group cohomology. (Wikipedia).
Quadratic System 2 Algebra Regents
In this video we look at the intersection between and linear and quadratic function
From playlist Quadratic Systems
Factoring using difference of two squares, x^2 - 9, 16x^4 - 100y^2, 4(4x^4 - 25y^2)
👉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
Factoring using the difference of two squares with multiple terms, 64m^2 - 9y^2
👉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
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
Introduction into factoring quadratics
👉Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To factor a quadratic with th
From playlist Factor Quadratic Expressions
Applying the difference of two squares with fractions, (1/4)x^2 - (1/4)
👉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 Quadratics With Fractions | 5 Examples Compilation
How to factor a binomial by factoring out the GCF as well as by difference of two squares
👉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
Factoring trinomials #2 difference of two squares
👉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
Learning how to factor a binomial using the difference of two squares
👉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
Bryna Kra : Multiple ergodic theorems: old and new - lecture 2
Abstract : The classic mean ergodic theorem has been extended in numerous ways: multiple averages, polynomial iterates, weighted averages, along with combinations of these extensions. I will give an overview of these advances and the different techniques that have been used, focusing on co
From playlist Dynamical Systems and Ordinary Differential Equations
Alexander Figotin : Overdamping in gyroscopic systems composed of high-loss and lossless components
Abstract: Using a Lagrangian framework, we study overdamping phenomena in gyroscopic systems composed of two components, one of which is highly lossy and the other is lossless. The losses are accounted for by a Rayleigh dissipative function. We prove that selective overdamping is a generic
From playlist Mathematical Physics
V7_1: Systems of two nonlinear autonomous equations, critical points; Element Differential Equations
Systems of two nonlinear autonomous equations; Definition of critical points; Examples of finding critical points; Elementary Differential Equations. Course playlist: https://www.youtube.com/playlist?list=PLbxFfU5GKZz0GbSSFMjZQyZtCq-0ol_jD
From playlist Elementary Differential Equations
The Generalized Ramanujan Conjectures and Applications (Lecture 3) by Peter Sarnak
Lecture 3: Mobius Randomness and Horocycle Dynamics Abstract : The Mobius function mu(n) is minus one to the number of distinct prime factors of n if n has no square factors and zero otherwise. Understanding the randomness (often referred to as the "Mobius randomness principle") in this f
From playlist Generalized Ramanujan Conjectures Applications by Peter Sarnak
Finding ALL Solutions of Polynomials (Precalculus - College Algebra 37)
Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com How to completely factor a polynomial over the complex number system and find all of the solutions, including complex.
From playlist Precalculus - College Algebra/Trigonometry
Alexander HULPKE - Computational group theory, cohomology of groups and topological methods 4
The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to use them within GAP. Alexander Hulpke's lectures will being with some general computation
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
StatGeoChem session 5 Factor Analysis
PCA and Factor analysis with applications in Geosciences
From playlist Statistical Geochemistry
14. Classical Statistical Mechanics Part 3
MIT 8.333 Statistical Mechanics I: Statistical Mechanics of Particles, Fall 2013 View the complete course: http://ocw.mit.edu/8-333F13 Instructor: Mehran Kardar This is the third of three lectures on Classical Statistical Mechanics. License: Creative Commons BY-NC-SA More information at
From playlist MIT 8.333 Statistical Mechanics I: Statistical Mechanics of Particles, Fall 2013
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)
Factoring the GCF from a binomial, 4x^2 + 24x
👉Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To factor a quadratic, all we
From playlist Factor Quadratic Expressions | GCF