In mathematics, the n-th symmetric power of an object X is the quotient of the n-fold product by the permutation action of the symmetric group . More precisely, the notion exists at least in the following three areas: * In linear algebra, the n-th symmetric power of a vector space V is the vector subspace of the symmetric algebra of V consisting of degree-n elements (here the product is a tensor product). * In algebraic topology, the n-th symmetric power of a topological space X is the quotient space , as in the beginning of this article. * In algebraic geometry, a symmetric power is defined in a way similar to that in algebraic topology. For example, if is an affine variety, then the GIT quotient is the n-th symmetric power of X. (Wikipedia).
Electrical Engineering: Ch 12 AC Power (37 of 58) What is Complex Power? (1)
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is complex factor, S. The magnitude of the complex power is the apparent power. The complex power, S, is the resultant vector of the Q, reactive power, and P, real power. (Explanation 1)
From playlist ELECTRICAL ENGINEERING 12 AC POWER
"Understand power notation and calculate simple powers, e.g. squares, cubes."
From playlist Number: Powers, Roots & Laws of Indices
From playlist Complex Multiplication
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From playlist Complex Multiplication
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From playlist Kinetic Energy, Potential Energy, Work, Power
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From playlist Complex Multiplication
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This video explains the basics of electric power and watts. Also includes several example problems for calculating power, current, resistance and voltage. Electric power describes how fast electric potential energy is convert to other forms of energy such as heat, light and motion. Powe
From playlist DC Circuits; Resistors in Series and Parallel
Do you know the definition for power? It's a commonly used word but you'll have to be more specific when using it in Physics. Still looking for a tutor for National 5 Physics? Take a look at my website for details and to find out if I still have availability. #shorts
From playlist Shorts
Lecture 29. Symmetric and exterior powers
From playlist Abstract Algebra 2
Newton's Identity, Lesson 5: Symmetric Polynomials of Roots and Elementary Symmetric Polynomials
any symmetric polynomial can be expressed in terms of elementary symmetric polynomials. We introduce an algorithm in finding the polynomial with an example for cubic equations.
From playlist Newton's Identity for polynomials
Solving An INSANELY Hard Viral Math Problem
This seemingly simple viral problem is a lot harder than it looks--it is actually a problem from a university level mathematics textbook! In order to solve the problem, we take a journey through symmetry and group theory which leads to a simple formula for solving these kinds of equations.
From playlist Math Puzzles, Riddles And Brain Teasers
Symmetrical Components From a New Angle #SoME2
This video explores symmetrical component theory in a way that is not presented in electrical engineering school. Starting with the history and building up 1 phase at a time, the math of symmetrical components is explained in a visual way, showing the connection back to basic geometry. The
From playlist Summer of Math Exposition 2 videos
Galyna Livshyts: On some tight convexity inequalities for symmetric convex sets
We conjecture an inequality which strengthens the Ehrhard inequality for symmetric convex sets, in the case of the standard Gaussian measure. We explain its relation to other questions, such as the isoperimetric problem, and (if time permits), to the tight bound in a version of the Dirichl
From playlist Workshop: High dimensional measures: geometric and probabilistic aspects
Shmuel Friedland: "Complexity of Computation of Tensor Rank and Best Rank One Approximation"
Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop IV: Efficient Tensor Representations for Learning and Computational Complexity "Complexity of Computation of Tensor Rank and Best Rank One Approximation" Shmuel Friedland - University of Illinois at C
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
Xu Zhendong - From the Littlewood-Paley-Stein Inequality to the Burkholder-Gundy Inequality
We solve a question asked by Xu about the order of optimal constants in the Littlewood-Paley-Stein inequality. This relies on a construction of a special diffusion semi-group associated with a martingale which relates the Littlewood G-function with the martingale square function pointwise.
From playlist Annual meeting “Arbre de Noël du GDR Géométrie non-commutative”
Dimitry Gurevich - New applications of the Reflection Equation Algebras
The REA are treated to be q-analogs of the enveloping algebras U(gl(N)). In particular, each of them has a representation category similar to that of U(gl(N)). I plan to exhibit new applications of these algebras: 1. q-analog of Schur-Weyl duality 2. q-Capelli formula 3. q-Frobenius formul
From playlist Combinatorics and Arithmetic for Physics: Special Days 2022
Power Functions (Precalculus - College Algebra 28)
Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com A quick study of Power Functions and how they will be used to determine End-Behavior of Polynomials.
From playlist Precalculus - College Algebra/Trigonometry
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From playlist Simplify Using the Rules of Exponents
Kevin Coulembier: Frobenius exact tensor categories
Abstract: Partly motivated by Grothendieck’s original vision for motives, the question arises of when a tensor category (k-linear symmetric monoidal rigid abelian category) is tannakian, i.e. is the representation category of an affine group scheme, or more generally of a groupoid in schem
From playlist Representation theory's hidden motives (SMRI & Uni of Münster)