In mathematics, a sparse polynomial (also lacunary polynomial or fewnomial) is a polynomial that has far fewer terms than its degree and number of variables would suggest. Examples include * monomials, polynomials with only one term, * binomials, polynomials with only two terms, and * trinomials, polynomials with only three terms. Research on sparse polynomials has included work on algorithms whose running time grows as a function of the number of terms rather than on the degree, for problems including polynomial multiplication, root-finding algorithms, and polynomial greatest common divisors. Sparse polynomials have also been used in pure mathematics, especially in the study of Galois groups, because it has been easier to determine the Galois groups of certain families of sparse polynomials than it is for other polynomials. The algebraic varieties determined by sparse polynomials have a simple structure, which is also reflected in the structure of the solutions of certain related differential equations. (Wikipedia).
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?
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?
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?
Learn how to identify if a function is a polynomial and identify the degree and LC
👉 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?
Polynomials Functions and Their Graphs Part 3
In this video we look at multiplicity and zeros of a polynomial function as well as the intermediate value theorem.
From playlist Polynomial Functions
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
Factors of sparse polynomials: structural results and some algorithms - Shubhangi Saraf
Computer Science/Discrete Mathematics Seminar II Topic: Factors of sparse polynomials: structural results and some algorithms Speaker: Shubhangi Saraf Affiliation: Member, School of Mathematics Date: March 26, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Determining if a function is a polynomial or not then determine degree and LC
👉 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?
Taylor polynomials + functions of two variables
Download the free PDF http://tinyurl.com/EngMathYT This is a basic tutorial on how to calculate a Taylor polynomial for a function of two variables. The ideas are applied to approximate a difficult square root. Such concepts are seen in university mathematics.
From playlist Several Variable Calculus / Vector Calculus
Title: Sparse Resultant Formulas for Differential Polynomials
From playlist Spring 2014
Mark Giesbrecht 4/23/15 Part 2
Title: I. Approximate Computation with Differential Polynomials: Approximate GCRDs II. Sparsity, Complexity and Practicality in Symbolic Computations Symbolic-Numeric Computing Seminar
From playlist Symbolic-Numeric Computing Seminar
CSPs with Global Modular Constraints: Algorithms and Hardness via... - Sivakanth Gopi
Computer Science/Discrete Mathematics Seminar I Topic: CSPs with Global Modular Constraints: Algorithms and Hardness via Polynomial Representations Speaker: Sivakanth Gopi Affiliation: Microsoft Researcher Date: March 30, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Chao Yang - Practical Quantum Circuits for Block Encodings of Sparse Matrices - IPAM at UCLA
Recorded 27 January 2022. Chao Yang of Lawrence Berkeley National Laboratory presents "Practical Quantum Circuits for Block Encodings of Sparse Matrices" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: Many standard linear algebra problems can be solved on a quantum computer
From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022
Title: Sparse Resultant Formulas for Differential Polynomials
From playlist Spring 2014
Lieven Vandenberghe: "Bregman proximal methods for semidefinite optimization."
Intersections between Control, Learning and Optimization 2020 "Bregman proximal methods for semidefinite optimization." Lieven Vandenberghe - University of California, Los Angeles (UCLA) Abstract: We discuss first-order methods for semidefinite optimization, based on non-Euclidean projec
From playlist Intersections between Control, Learning and Optimization 2020
Victor Magron : Exploiting sparsity in polynomial optimization Lecture 1
CONFERENCE Recording during the thematic meeting : « Francophone Computer Algebra Days» the March 06, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathematicians on CIRM's Audiov
From playlist Control Theory and Optimization
Sparse Nonlinear Dynamics Models with SINDy, Part 4: The Library of Candidate Nonlinearities
This video discusses how to choose an effective library of candidate terms for the Sparse Identification of Nonlinear Dynamics (SINDy) algorithm. We discuss how to extend SINDy to include control variables and bifurcation parameters, as well as to include more general rational functions.
From playlist Data-Driven Dynamical Systems with Machine Learning
Classifying a polynomial based on its degree and number of terms
👉 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
Indistinguishability Obfuscation from Well-Founded Assumptions - Huijia (Rachel) Lin
Computer Science/Discrete Mathematics Seminar I Topic: Indistinguishability Obfuscation from Well-Founded Assumptions Speaker: Huijia (Rachel) Lin Affiliation: University of Washington Date: November 16, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics