Topology of Lie groups | Homotopy theory
In mathematics, the J-homomorphism is a mapping from the homotopy groups of the special orthogonal groups to the homotopy groups of spheres. It was defined by George W. Whitehead, extending a construction of Heinz Hopf. (Wikipedia).
Evaluate an expression with one variable ex2, 2x + 3 - 2; x=5
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
Evaluating an expression with one variable ex 4, x - 3 - 7x; x = 10
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
👉 Learn all about binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula for a binomial expans
From playlist Sequences
Evaluate an expression with two variables ex1, (3x - y)^2; x = 4; y = 1
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
Evaluating an expression with one variable ex 7, w^2 - 3w + 10; w = 4
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
Evaluate an expression with one variable ex 5, 2(x - 3) - 5; x=-1
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
Evaluating an expression with one variable ex 3, (2x - 4)/4x; x = -3
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
Evaluating expressions with order of operations, ((a^2)/4b)+c When a=12, b=9 and c=4
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
Abstract Algebra | Properties and examples of ring homomorphisms.
We present some important properties of ring homomorphisms and give some examples. For instance we prove that 2Z and 3Z are isomorphic as groups but not rings. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Evaluating an expression with two variables ex 5, (bc)^2; b = 4; c = 8
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
Introduction to additive combinatorics lecture 6.6 --- Ruzsa's embedding lemma for subsets of Z
Ruzsa's embedding lemma for subsets of Z says that if A is a finite set of integers and the set kA - kA has size at most C|A|, then it is possible to find a subset A' of A of size at least |A|/k that is Freiman isomorphic of order k to a subset of Z/NZ, where N is a prime between 2C|A| and
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Abstract Algebra | More ring theory examples.
We present some more examples involving rings. Among other things, we prove results about ideals and homomorphisms in matrix and polynomial rings. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Visual Group Theory, Lecture 7.3: Ring homomorphisms
Visual Group Theory, Lecture 7.3: Ring homomorphisms A ring homomorphism is a structure preserving map between rings, which means that f(x+y)=f(x)+f(y) and f(xy)=f(x)f(y) both must hold. The kernel is always a two-sided ideal. There are four isomorphism theorems for rings, which are compl
From playlist Visual Group Theory
Elliptic Curves - Lecture 10b - Isogenies (part 2)
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
Ring Homomorphisms: If J is an Ideal in S, Φ^-1(J) is an Ideal in R
Ring Homomorphisms have lots of great examples. Here we're talking about ideals and weather or not the preimage of an Ideal is an Ideal. I hope you learn something! Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase throug
From playlist Abstract Algebra
Group theory 25: The transfer homomorphism
This video is part of an online mathematics course on group theory. It describes the transfer homomorphism between groups, and uses it to classify groups of order 30 and to show that the order of any simple group must be divisible by the square of some prime.
From playlist Group theory
Normal subgroups and quotient groups
Jacob explains how homomorphisms and their kernels give rise to quotient groups, and sketches a proof of the First Isomorphism Theorem, a useful result in group theory.
From playlist Basics: Group Theory
Quantization By Branes And Geometric Langlands Lecture 2 by Edward Witten
PROGRAM : QUANTUM FIELDS, GEOMETRY AND REPRESENTATION THEORY 2021 (ONLINE) ORGANIZERS : Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pan
From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)
Evaluating an expression with one variable ex 8, (-x^2 +1)/3; x = 3
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations