Bernstein polynomial

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

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?

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?

The Bernstein Sato polynomial: Holonomic modules

This is the third of three talks about the Bernstein-Sato polynomial. The first talk is at https://youtu.be/CX2iej9NKzs We use Bernstein's inequality from the second talk to show that holonomic modules have finite length. We then use this to prove that a particular module is holonomic, wh

From playlist Commutative algebra

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?

More bases of polynomial spaces | Wild Linear Algebra A 21 | NJ Wildberger

Polynomial spaces are excellent examples of linear spaces. For example, the space of polynomials of degree three or less forms a linear or vector space which we call P^3. In this lecture we look at some more interesting bases of this space: the Lagrange, Chebyshev, Bernstein and Spread po

From playlist WildLinAlg: A geometric course in Linear Algebra

Mod-01 Lec-02 Polynomial Approximation

Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in

From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics

The Bernstein Sato polynomial: Bernstein's inequality

This is the second of three talks about the Bernstein-Sato polynomial. The first talk is at https://youtu.be/CX2iej9NKzs The third talk should appear at https://youtu.be/3FLdcrbUXZw on Dec 23 5:00am PST We study the Weyl algebra of differential operators with polynomial coefficients in

From playlist Commutative algebra

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?

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?

Learn how to write a polynomial in standard form and classify

👉 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

Seminar on Applied Geometry and Algebra (SIAM SAGA): Frank Sottile

Date: Tuesday, August 10 Speaker: Frank Sottile, Texas A&M Title: Applications of Bernstein's Other Theorem Abstract: Many of us are familiar with Bernstein's Theorem giving the number of solutions in the torus to a general system of sparse polynomial equations. The linchpin of his proo

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

De Casteljau Bezier Curves | Algebraic Calculus One | Wild Egg

Paul de Casteljau and Pierre Bezier were French car engineers working for competing companies who around 1960 initiated the most important development in the theory of curves of the modern era. The curves they studied we call de Casteljau Bezier curves, or dCB curves for short, are specifi

From playlist Algebraic Calculus One from Wild Egg

MAST30026 Lecture 16: Stone-Weierstrass theorem (Part 1)

The Weierstrass approximation theorem says that an arbitrary continuous function on a finite closed interval can be approximated uniformly by polynomials to any desired degree of accuracy. I proved this theorem using Bernstein polynomials. Lecture notes: http://therisingsea.org/notes/mas

From playlist MAST30026 Metric and Hilbert spaces

Lecture 09: Introduction to Geometry (CMU 15-462/662)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz2emSh0UQ5iOdT2xRHFHL7E Course information: http://15462.courses.cs.cmu.edu/

From playlist Computer Graphics (CMU 15-462/662)

Labeling a polynomial based on the 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

Nigel Higson: Isomorphism conjectures for non discrete groups

The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: "The Farrell-Jones conjecture" I shall discuss aspects of the C*-algebraic version of the Farrell-Jones conjecture (namely the Baum-Connes conjecture) for Lie groups and p-adic groups. The conj

From playlist HIM Lectures: Junior Trimester Program "Topology"