In mathematics, it can be shown that every function can be written as the composite of a surjective function followed by an injective function. Factorization systems are a generalization of this situation in category theory. (Wikipedia).
Algebra - Ch. 6: Factoring (2 of 55) What is Factoring?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is factoring. Factoring is the process of taking a number or an expression and writing it as a product of it's factor. (It is the reverse of applying the distributive property.) To donat
From playlist ALGEBRA CH 6 FACTORING
👉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
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
Sketch the graph of a factored polynomial using multiplicity
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form
Creating a factor tree to obtain the prime factorization of a number, 48x^4 y^3
👉 Learn how to factor a number, variable, and monomial completely. To factor means to write our term as a product of its factors. Therefore we will learn how to break down a number, variable, and monomial into its factors. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrb
From playlist Prime Factorization
Determine the multiplicity and zeros and graph of a polynomial
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form
Using multiplicity to help us sketch the graph of a polynomial
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form
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
How to use a factor tree to factor find the linear factorization of a term, 32x^4 y^2
👉 Learn how to factor a number, variable, and monomial completely. To factor means to write our term as a product of its factors. Therefore we will learn how to break down a number, variable, and monomial into its factors. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrb
From playlist Prime Factorization
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)
Sketching the graph of a polynomial using the zeros and multiplicity
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form