In mathematics, a unimodular polynomial matrix is a square polynomial matrix whose inverse exists and is itself a polynomial matrix. Equivalently, a polynomial matrix A is unimodular if its determinant det(A) is a nonzero constant. (Wikipedia).
Sketch the graph of a factored polynomial using multiplicity
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form
Classify a polynomial then determining if it is a polynomial or not
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?
Paul GUNNELLS - Cohomology of arithmetic groups and number theory: geometric, ... 4
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Is it a polynomial with two variables
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?
Matthias Lenz, Research talk - 11 February 2015
Matthias Lenz (University of Oxford) - Research talk http://www.crm.sns.it/course/4484/ Formulas of Khovanskii-Pukhlikov, Brion-Vergne, and De Concini-Procesi-Vergne relate the volume with the number of integer points in a convex polytope. In this talk I will refine these formulas and tal
From playlist Algebraic topology, geometric and combinatorial group theory - 2015
Ngoc Mai Tran: Tropical solutions to hard problems in auction theory and neural networks, lecture I
Tropical mathematics is mathematics done in the min-plus (or max-plus) algebra. The power of tropical mathematics comes from two key ideas: (a) tropical objects are limits of classical ones, and (b) the geometry of tropical objects is polyhedral. In this course, I’ll demonstrate how these
From playlist Summer School on modern directions in discrete optimization
Determining if a equation is a polynomial or not
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?
Using multiplicity to help us sketch the graph of a polynomial
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form
Learn how to classify a polynomial as a cubic binomial
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1
From playlist Classify Polynomials | Equations
Robert Weismantel: Affine TU decomposition of matrices
We study the reformulation of integer linear programs by means of a mixed integer linear program with fewer integer variables. Such reformulations can be solved efficiently with mixed integer linear programming techniques. We exhibit a variety of examples that demonstrate how integer prog
From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"
Sketching the graph of a polynomial using the zeros and multiplicity
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form
Tropical Geometry - Lecture 8 - Surfaces | Bernd Sturmfels
Twelve lectures on Tropical Geometry by Bernd Sturmfels (Max Planck Institute for Mathematics in the Sciences | Leipzig, Germany) We recommend supplementing these lectures by reading the book "Introduction to Tropical Geometry" (Maclagan, Sturmfels - 2015 - American Mathematical Society)
From playlist Twelve Lectures on Tropical Geometry by Bernd Sturmfels
Gabriele NEBE - Lattices, Perfects lattices, Voronoi reduction theory, modular forms, ...
Lattices, Perfects lattices, Voronoi reduction theory, modular forms, computations of isometries and automorphisms The talks of Coulangeon will introduce the notion of perfect, eutactic and extreme lattices and the Voronoi's algorithm to enumerate perfect lattices (both Eulcidean and He
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Summary for classifying polynomials
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different interger exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1
From playlist Classify Polynomials
Computing Homology Cycles with Certified Geometry - Tamal Dey
Computing Homology Cycles with Certified Geometry Tamal Dey Ohio State University March 7, 2012
From playlist Members Seminar
Ngoc Mai Tran: Tropical solutions to hard problems in auction theory and neural networks, lecture II
Tropical mathematics is mathematics done in the min-plus (or max-plus) algebra. The power of tropical mathematics comes from two key ideas: (a) tropical objects are limits of classical ones, and (b) the geometry of tropical objects is polyhedral. In this course, I’ll demonstrate how these
From playlist Summer School on modern directions in discrete optimization
Determine if a Function is a Polynomial Function
This video explains how to determine if a function is a polynomial function. http://mathispower4u.com
From playlist Determining the Characteristics of Polynomial Functions
Martin Hazelton - Dynamic fibre samplers for linear inverse problems
Professor Martin Hazelton (University of Otago) presents “Dynamic fibre samplers for linear inverse problems”, 23 October 2020 (seminar organised by UNSW).
From playlist Statistics Across Campuses
Sketch the graph of the polynomial by hand using zeros, multiplicity and end behavior
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form