Orthogonal polynomials | Q-analogs | Special hypergeometric functions

Dual q-Krawtchouk polynomials

In mathematics, the dual q-Krawtchouk polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw give a detailed list of their properties. (Wikipedia).

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Find all the zeros using the difference of two cubes

👉 Learn how to find the zeroes of a polynomial equation/expression involving the sum/difference of two cubes. Given a polynomial having the sum of two cubes, the polynomial can be factored as follows: a^3 + b^3 = (a + b)(a^2 - ab + b^2). Similarly, given a polynomial having the difference

From playlist Zeros of a Polynomial by Factoring

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Many-body strategies for multi-qubit gates by Kareljan Schoutens

PROGRAM: INTEGRABLE SYSTEMS IN MATHEMATICS, CONDENSED MATTER AND STATISTICAL PHYSICS ORGANIZERS: Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE : 16 July 2018 to 10 August 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore

From playlist Integrable​ ​systems​ ​in​ ​Mathematics,​ ​Condensed​ ​Matter​ ​and​ ​Statistical​ ​Physics

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Finding the zeros by factoring using the difference of two cubes

👉 Learn how to find the zeroes of a polynomial equation/expression involving the sum/difference of two cubes. Given a polynomial having the sum of two cubes, the polynomial can be factored as follows: a^3 + b^3 = (a + b)(a^2 - ab + b^2). Similarly, given a polynomial having the difference

From playlist Zeros of a Polynomial by Factoring

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Find the difference between 2 polynomials by rewriting as addition problem by distributing

👉 Learn how to add and subtract polynomials by either using the vertical or horizontal method. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1 ❤️Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9

From playlist How to subtract polynomials

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How to find the zeros of a polynomial using the sum of two cubes

👉 Learn how to find the zeroes of a polynomial equation/expression involving the sum/difference of two cubes. Given a polynomial having the sum of two cubes, the polynomial can be factored as follows: a^3 + b^3 = (a + b)(a^2 - ab + b^2). Similarly, given a polynomial having the difference

From playlist Zeros of a Polynomial by Factoring

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Subtracting two trinomials

👉 Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you have identified the like terms, we then apply the requ

From playlist How to subtract polynomials

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How to subtract two trinomials polynomials

👉 Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you have identified the like terms, we then apply the requ

From playlist How to subtract polynomials

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Learn how to solve completely using the difference of two cubes

👉 Learn how to find the zeroes of a polynomial equation/expression involving the sum/difference of two cubes. Given a polynomial having the sum of two cubes, the polynomial can be factored as follows: a^3 + b^3 = (a + b)(a^2 - ab + b^2). Similarly, given a polynomial having the difference

From playlist Zeros of a Polynomial by Factoring

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Overview of Multiplicity of a zero - Online Tutor - Free Math Videos

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

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Seminar on Applied Geometry and Algebra (SIAM SAGA): Gretchen Matthews

Title: Multivariate Goppa Codes Speaker: Gretchen Matthews, Virginia Tech Date: Tuesday, May 10, 2022 at 11:00am Eastern Abstract: Goppa codes were introduced in 1971 by V. D. Goppa using a univariate polynomial g(x), called a generator polynomial, over a finite field. Properties of the G

From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)

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Michael Finkelberg: Irreducible equivariant perverse coherent sheaves on affine Grassmannians of...

Title: Irreducible equivariant perverse coherent sheaves on affine Grassmannians of type A and dual canonical bases Abstract: S. Cautis and H. Williams identified the equivariant K-theory of the affine Grassmannian of GL(n) with a quantum unipotent cell of LSL(2). Under this identificatio

From playlist Algebraic and Complex Geometry

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Everett Howe, Deducing information about a curve over a finite field from its Weil polynomial

VaNTAGe Seminar, March 1, 2022 License CC-BY-NC-SA Links to some of the papers and websites mentioned in this talk are listed below Howe 2021: https://arxiv.org/abs/2110.04221 Tate: https://link.springer.com/chapter/10.1007/BFb0058807 Howe 1995: https://www.ams.org/journals/tran/1995-

From playlist Curves and abelian varieties over finite fields

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Ed Witten -- From Gauge Theory to Khovanov Homology Via Floer Theory

Edward Witten lecture entitled "From Gauge Theory to Khovanov Homology Via Floer Theory" as part of the Banff International Research Station conference "Perspectives on Knot Homology". The Banff International Research Station will host the "Perspectives on Knot Homology" workshop in Banf

From playlist Research Lectures

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Solve with difference of two cubes, find all the zeros, linear factors

👉 Learn how to find the zeroes of a polynomial equation/expression involving the sum/difference of two cubes. Given a polynomial having the sum of two cubes, the polynomial can be factored as follows: a^3 + b^3 = (a + b)(a^2 - ab + b^2). Similarly, given a polynomial having the difference

From playlist Zeros of a Polynomial by Factoring

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Tao Hou (5/13/20): Computing minimal persistent cycles: Polynomial and hard cases

Title: Computing minimal persistent cycles: Polynomial and hard cases Abstract: Persistent cycles, especially the minimal ones, are useful geometric features functioning as augmentations for the intervals in the purely topological persistence diagrams (also termed as barcodes). In our ear

From playlist AATRN 2020

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Parahoric Subgroups and Supercuspidal Representations of p-Adic groups - Dick Gross

Dick Gross Harvard University December 9, 2010 This is a report on some joint work with Mark Reeder and Jiu-Kang Yu. I will review the theory of parahoric subgroups and consider the induced representation of a one-dimensional character of the pro-unipotent radical. A surprising fact is th

From playlist Mathematics

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Stefano Marseglia, Computing isomorphism classes of abelian varieties over finite fields

VaNTAGe Seminar, February 1, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in this talk: Honda: https://doi.org/10.2969/jmsj/02010083 Tate: https://link.springer.com/article/10.1007/BF01404549 Deligne: https://eudml.org/doc/141987 Hofmann, Sircana: https://arxiv.org/ab

From playlist Curves and abelian varieties over finite fields

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A nearly optimal lower bound on the approximate degree of AC00- Mark Bun

Computer Science/Discrete Mathematics Seminar I Topic: A nearly optimal lower bound on the approximate degree of AC00 Speaker: A nearly optimal lower bound on the approximate degree of AC00 Speaker: Mark Bun Affiliation: Princeton University Date: October 23, 2017 For more videos, pleas

From playlist Mathematics

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Learn how to factor out the GCF from a binomial

👉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

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Catharina Stroppel: Fusion rings from quantum groups and DAHA actions

Abstract: In this talk I will give a short overview about fusion rings arising from quantum groups at odd and even roots of unities. These are Grothendieck rings of certain semisimple tensor categories. Then I will study these rings in more detail. The main focus of the talk will be an exp

From playlist Mathematical Physics

Related pages

Orthogonal polynomials | Askey scheme