Orthogonal polynomials | Q-analogs | Special hypergeometric functions
In mathematics, the 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. showed that the q-Krawtchouk polynomials are spherical functions for 3 different Chevalley groups over finite fields, and showed that they are related to representations of the quantum group SU(2). (Wikipedia).
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
What is the definition of a polynomial with examples and non examples
👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas classifying polynomials by the degree will focus on
From playlist Classify Polynomials
How to determine function is a polynomial or not
👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas classifying polynomials by the degree will focus on
From playlist Is it a polynomial or not?
Given a table of values, learn how to identify the degree and LC
👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas classifying polynomials by the degree will focus on
From playlist Classify Polynomials
Learn how to determine if you do not have a polynomial
👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas classifying polynomials by the degree will focus on
From playlist Is it a polynomial or not?
Interesting Polynomial Question (x³-kx+1=0 with root between x=0 & x=1)
NB. To clarify: the polynomial x³-kx+1=0 has exactly one root between x=0 and x=1, but it does (indeed, it must) include at least one other root. You can graph it for various values of k to see why.
From playlist Further Polynomials
What do I need to know to classify polynomials
👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas classifying polynomials by the degree will focus on
From playlist Classify Polynomials
What is the definition of a monomial and polynomials with examples
👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas classifying polynomials by the degree will focus on
From playlist Classify Polynomials
Algebra - Ch. 5: Polynomials (1 of 32) What is a Polynomial?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a polynomial. An algebraic expression with 2 or more terms. I will also explain what is a monomial, binomial, trinomial, and polynomial of 4 terms; terms, and factors. To donate: http
From playlist ALGEBRA CH 5 POLYNOMIALS
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
Visual Group Theory, Lecture 6.3: Polynomials and irreducibility
Visual Group Theory, Lecture 6.3: Polynomials and irreducibility A complex number is algebraic over Q (the rationals) if it is the root of a polynomial with rational coefficients. It is clear that every number that can be written with arithmetic and radicals is rational. Galois' big achie
From playlist Visual Group Theory
Visual Group Theory, Lecture 6.5: Galois group actions and normal field extensions
Visual Group Theory, Lecture 6.5: Galois group actions and normal field extensions If f(x) has a root in an extension field F of Q, then any automorphism of F permutes the roots of f(x). This means that there is a group action of Gal(f(x)) on the roots of f(x), and this action has only on
From playlist Visual Group Theory
Proof of the existence of the minimal polynomial. Every polynomial that annihilates an operator is a polynomial multiple of the minimal polynomial of the operator. The eigenvalues of an operator are precisely the zeros of the minimal polynomial of the operator.
From playlist Linear Algebra Done Right
A central limit theorem for Gaussian polynomials... pt1 -Anindya De
Anindya De Institute for Advanced Study; Member, School of Mathematics May 13, 2014 A central limit theorem for Gaussian polynomials and deterministic approximate counting for polynomial threshold functions In this talk, we will continue, the proof of the Central Limit theorem from my las
From playlist Mathematics
What is Special About Polynomials? (Perspectives from Coding theory and DiffGeom) - Larry Guth
What is Special About Polynomials? (Perspectives from Coding theory and Differential Geometry) Larry Guth Massachusetts Institute of Technology March 13, 2013 olynomials are a special class of functions. They are useful in many branches of mathematics, often in problems which don't mention
From playlist Mathematics
The Bernstein Sato polynomial: Introduction
This is the first of three talks about the Bernstein-Sato polynomial. The second talk should appear at https://youtu.be/FAKzbvDm-w0 on Dec 22 5:00am PST We define the Bernstein-Sato polynomial of a polynomial in several complex variables, and show how it can be used to analytically con
From playlist Commutative algebra
Visual Group Theory, Lecture 6.4: Galois groups
Visual Group Theory, Lecture 6.4: Galois groups The Galois group Gal(f(x)) of a polynomial f(x) is the automorphism group of its splitting field. The degree of a chain of field extensions satisfies a "tower law", analogous to the tower law for the index of a chain of subgroups. This hints
From playlist Visual Group Theory
New Locally Decodable Codes from Lifting - Madhu Sudan
Madhu Sudan Microsoft Research March 25, 2013 Locally decodable codes (LDCs) are error-correcting codes that allow for highly-efficient recovery of "pieces" of information even after arbitrary corruption of a codeword. Locally testable codes (LTCs) are those that allow for highly-efficient
From playlist Mathematics
Valentin Blomer: The polynomial method for point counting and exponential sums, Lecture 1
We show how families of auxiliary polynomials can be used to count the number of points on certain types of curves over finite fields and to estimate exponential sums and character sums.
From playlist Harmonic Analysis and Analytic Number Theory
Label the zeros, multiplicity, and determine degree and LC from a graph
👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas classifying polynomials by the degree will focus on
From playlist Classify Polynomials