Polynomials - Classifying Monomials, Binomials & Trinomials - Degree & Leading Coefficient
This algebra video tutorial provides a basic introduction into polynomials. It explains how to identify a monomial, binomial, and a trinomial according to the number of terms present in an algebraic expression. it also explains how to identify all of the terms in a polynomial as well as
From playlist New Algebra Playlist
Categories 6 Monoidal categories
This lecture is part of an online course on categories. We define strict monoidal categories, and then show how to relax the definition by introducing coherence conditions to define (non-strict) monoidal categories. We finish by defining symmetric monoidal categories and showing how super
From playlist Categories for the idle mathematician
Monotone Subsequence Theorem (Every Sequence has Monotone Subsequence) | Real Analysis
How nice of a subsequence does any given sequence has? We've seen that not every sequence converges, and some don't even have convergent subsequences. But today we'll prove what is sometimes called the Monotone Subsequence theorem, telling us that every sequence has a monotone subsequence.
From playlist Real Analysis
Takuro Mochizuki - Non-abelian Hodge Theory for Monopoles with Periodicity
Recently, we obtained equivalences between monopoles with periodicity and difference modules of various types, i.e., periodic monopoles and difference modules, doubly periodic monopoles and q-difference modules, and triply periodic monopoles and difference modules on elliptic curves. In th
From playlist Resurgence in Mathematics and Physics
What is the definition of a monomial and polynomials with examples
đ 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
"New Paradigms in Invariant Theory" - Roger Howe, Yale University [2011]
HKUST Institute for Advanced Study Distinguished Lecture New Paradigms in Invariant Theory Speaker: Prof Roger Howe, Yale University Date: 13/6/2011 Video taken from: http://video.ust.hk/Watch.aspx?Video=6A41D5F6B1A790DC
From playlist Mathematics
Monica Vazirani: From representations of the rational Cherednik algebra to parabolic Hilbert schemes
Abstract: Young diagrams and standard tableaux on them parameterize irreducible representations of the symmetric group and their bases, respectively. There is a similar story for the double affine Hecke algebra (DAHA) taking periodic tableaux, or for the rational Cherednik algebra (a.k.a.
From playlist SMRI Algebra and Geometry Online
Determine if an Expression is a Polynomial
This video explains how to determine if an expression is a polynomial.
From playlist Introduction to Polynomials
Resurgence and Transseries in String Theory by Ricardo Schiappa
Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography DATE:27 January 2018 to 03 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The program "Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography" aims to
From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography
Nonlinear algebra, Lecture 1: "Polynomials, Ideals, and Groebner Bases", by Bernd Sturmfels
This is the first lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences. Topics covered: polynomilas, ideals and Groebner bases.
From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra
Singular Learning Theory - Seminar 6 - Gröbner bases and generic division
This seminar series is an introduction to Watanabe's Singular Learning Theory, a theory about algebraic geometry and statistical learning theory. In this seminar Spencer Wong continues his series of talks on "from analytic to algebraic", explaining what a Gröbner basis is and the modified
From playlist Singular Learning Theory
The Monomial Structure of Boolean Functions - Shachar Lovett
Workshop on Additive Combinatorics and Algebraic Connections Topic: The Monomial Structure of Boolean Functions Speaker: Shachar Lovett Affiliation: University of California, San Diego Date: October 25, 2022Â Let f:0,1n to 0,1 be a boolean function. It can be uniquely represented as a mu
From playlist Mathematics
Non-commutative polynomial optimisation problems (...) - A. AciÌn - Workshop 2 - CEB T3 2017
Antonio AcĂn / 25.10.17 Non-commutative polynomial optimisation problems in quantum information theory We discuss questions in quantum physics that can be cast as non-commutative polynomial optimisation problems and discuss their solution in terms of semi-definite programming. This range
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Seminar on Applied Geometry and Algebra (SIAM SAGA): Alicia Dickenstein
Title: Families of polynomials in the study of biochemical reaction networks Speaker: Alicia Dickenstein, University of Buenos Aires Date: Tuesday, December 7 at 11:00am Eastern Abstract: The standard mass-action kinetics modeling of the dynamics of biochemical reaction networks gives ris
From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)
From cluster categories to scattering diagrams (Lecture 4) by Bernhard Keller
PROGRAM :SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS :Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE :Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra
From playlist School on Cluster Algebras 2018
Sums of Squares Over k-Subset Hypercubes - Annie Raymond
Computer Science/Discrete Mathematics Seminar I Topic: Sums of Squares Over k-Subset Hypercubes Speaker: Annie Raymond Affiliation: University of Massachusetts, Amherst Date: April 16, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Generalizing polynumbers: arithmetic with multisets/msets | Math Foundations 227b | N J Wildberger
A foundational lecture on how to set up a general theory of polynomials / polynumbers in many "variables". The main ingredients are a prior theory of natural numbers as multisets of marks, which we review, and also the important but under-rated data structure called an multiset, or mset.
From playlist Box Arithmetic