Linear operators | Operator theory

Cyclic and separating vector

In mathematics, the notion of a cyclic and separating vector is important in the theory of von Neumann algebras, and in particular in Tomita–Takesaki theory. A related notion is that of a vector which is cyclic for a given operator. The existence of cyclic vectors is guaranteed by the Gelfand–Naimark–Segal (GNS) construction. (Wikipedia).

Video thumbnail

Divide using synthetic division and check with remainder theorem

👉 Learn about dividing by synthetic division when there is a missing power. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for the variable will be th

From playlist Divide Polynomials using Synthetic Division

Video thumbnail

Dividing polynomials by synthetic division and rewriting using the division algorithm

👉 Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for the variable will be the synthetic divisor. In dividi

From playlist Divide Polynomials using Synthetic Division with four terms

Video thumbnail

Dividing polynomials using synthetic division

👉 Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for the variable will be the synthetic divisor. In dividi

From playlist Divide Polynomials using Synthetic Division with four terms

Video thumbnail

Learning step by step how to divide polynomials using synthetic division

👉 Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for the variable will be the synthetic divisor. In dividi

From playlist Divide Polynomials using Synthetic Division

Video thumbnail

Dividing polynomials using synthetic division

👉 Learn about dividing by synthetic division when there is a missing power. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for the variable will be th

From playlist Divide Polynomials using Synthetic Division

Video thumbnail

Lecture 32: ImageNet is a Convolutional Neural Network (CNN), The Convolution Rule

MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018 Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k Professor Strang b

From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018

Video thumbnail

Using synthetic division to divide two polynomials with a remainder

👉 Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for the variable will be the synthetic divisor. In dividi

From playlist Divide Polynomials using Synthetic Division with four terms

Video thumbnail

How to divide polynomials using synthetic division

👉 Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for the variable will be the synthetic divisor. In dividi

From playlist Divide Polynomials using Synthetic Division with four terms

Video thumbnail

Galois theory: Primitive elements

This lecture is part of an online graduate course on Galois theory. We show that any finite separable extension of fields has a primitive element (or generator) and given n example of a finite non-separable extension with no primitive elements.

From playlist Galois theory

Video thumbnail

Dividing polynomials using synthetic division with missing a term

👉 Learn about dividing by synthetic division when there is a missing power. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for the variable will be th

From playlist Divide Polynomials using Synthetic Division

Video thumbnail

31. Eigenvectors of Circulant Matrices: Fourier Matrix

MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018 Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k This lecture conti

From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018

Video thumbnail

A. Wright - Mirzakhani's work on Earthquakes (Part 2)

We will give the proof of Mirzakhani's theorem that the earthquake flow and Teichmuller unipotent flow are measurably isomorphic. We will assume some familiarity with quadratic differentials, but no familiarity with earthquakes, and the first lecture will be devoted to preliminaries. The s

From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications

Video thumbnail

Geometric phases and the separation of the world by Michael Berry

DISCUSSION MEETING : GEOMETRIC PHASES IN OPTICS AND TOPOLOGICAL MATTER ORGANIZERS : Subhro Bhattacharjee, Joseph Samuel and Supurna Sinha DATE : 21 January 2020 to 24 January 2020 VENUE : Madhava Lecture Hall, ICTS, Bangalore This is a joint ICTS-RRI Discussion Meeting on the geometric

From playlist Geometric Phases in Optics and Topological Matter 2020

Video thumbnail

GPDE Workshop - External doubly stochastic measures and optimal transportation

Robert McCann University of Toronto February 23, 2009 For more videos, visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Lec 32 | MIT 18.085 Computational Science and Engineering I, Fall 2008

Lecture 32: Convolution (part 2); filtering License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.085 Computational Science & Engineering I, Fall 2008

Video thumbnail

Felix Klein Lectures 2020: Quiver moduli and applications, Markus Reineke (Bochum), Lecture 2

Quiver moduli spaces are algebraic varieties encoding the continuous parameters of linear algebra type classification problems. In recent years their topological and geometric properties have been explored, and applications to, among others, Donaldson-Thomas and Gromov-Witten theory have

From playlist Felix Klein Lectures 2020: Quiver moduli and applications, Markus Reineke (Bochum)

Video thumbnail

Dividing a larger integer into a smaller integer to convert to decimal form 7/ 15

👉 In this video series you will learn how to divide integers. We will discuss basic division and then move to division using long division. Integers will be single digit as well as multi-digit problems. When a number the divisor does not evenly divide into another number the dividend the

From playlist Integer Operations

Video thumbnail

Pre-recorded lecture 8: Differentially non-degenerate singular points and global theorems

MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems Pre-recorded lecture: These lectures were recorded as part of a cooperation between the Chinese-Russian Mathematical Center (Beijing) and the Moscow Center of Fundamental and Applied Mathematics (Moscow). Nijenhuis Geomet

From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry companion lectures (Sino-Russian Mathematical Centre)

Video thumbnail

Perverse schobers and semi-orthogonal decompositions - Mikhail Kapranov

Vladimir Voevodsky Memorial Conference Topic: Perverse schobers and semi-orthogonal decompositions Speaker: Mikhail Kapranov Affiliation: Institute for Advanced Study Date: September 14, 2018 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Dividing two polynomials using synthetic division

👉 Learn about dividing by synthetic division when the divisor is a fraction. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for the variable will be t

From playlist Divide Polynomials using Synthetic Division

Related pages

Tomita–Takesaki theory | Norm (mathematics) | Hilbert space | Bounded operator | Positive linear functional | *-algebra | Cyclic vector | Hermitian adjoint | Isometry | Von Neumann algebra | C*-algebra | Gelfand–Naimark–Segal construction