Differential operators | Connection (mathematics)

Oper (mathematics)

In mathematics, an Oper is a principal connection, or in more elementary terms a type of differential operator. They were first defined and used by Vladimir Drinfeld and Vladimir Sokolov to study how the KdV equation and related integrable PDEs correspond to algebraic structures known as Kac–Moody algebras. Their modern formulation is due to Drinfeld and Alexander Beilinson. (Wikipedia).

Video thumbnail

Algebra - Ch. 4: Exponents & Scientific Notation (1 of 35) What is an Exponent?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is an exponent. A number or symbol placed above another number or symbol that indicates the power the number or symbol at the bottom is raised. The number at the bottom is called the base

From playlist ALGEBRA CH 4 EXPONENTS AND SCIENTIFIC NOTATION

Video thumbnail

What is mathematics?

Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu

From playlist Science Unplugged: Mathematics

Video thumbnail

Evaluate an expression with one variable ex2, 2x + 3 - 2; x=5

👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)

From playlist Simplify Expressions Using Order of Operations

Video thumbnail

Evaluating an expression with one variable ex 8, (-x^2 +1)/3; x = 3

👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)

From playlist Simplify Expressions Using Order of Operations

Video thumbnail

Evaluating an expression with one variable ex 4, x - 3 - 7x; x = 10

👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)

From playlist Simplify Expressions Using Order of Operations

Video thumbnail

Evaluating an expression with one variable ex 6, (3p - 5)^2; p = 3

👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)

From playlist Simplify Expressions Using Order of Operations

Video thumbnail

Quiz: Composition of Functions (Graph & Table)

Link: https://www.geogebra.org/m/QgN7nwCh

From playlist Algebra 1: Dynamic Interactives!

Video thumbnail

Evaluate an expression with one variable ex 5, 2(x - 3) - 5; x=-1

👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)

From playlist Simplify Expressions Using Order of Operations

Video thumbnail

Ever heard of Quantum Operators and Commutators? (Explained for Beginners)!

What is a quantum operator? And just how useful are quantum commutators? Find out how they help us understand the Ehrenfest Theorem! Hi everyone, I'm back with a new video! This time it's the first in a two-part mini-series on one of the coolest theorems in quantum mechanics - Ehrenfest's

From playlist Quantum Physics by Parth G

Video thumbnail

2. Group Theory

RES.LL-005 D4M: Signal Processing on Databases, Fall 2012 View the complete course: http://ocw.mit.edu/RESLL-005F12 Instructor: Jeremy Kepner Associative array mathematics. Relevant operations on an associative array. Semirings and matrices. See MIT Press book "Mathematics of Big Data."

From playlist MIT D4M: Signal Processing on Databases, Fall 2012

Video thumbnail

SHM - 16/01/15 - Constructivismes en mathématiques - Thierry Coquand

Thierry Coquand (Université de Gothenburg), « Théorie des types et mathématiques constructives »

From playlist Les constructivismes mathématiques - Séminaire d'Histoire des Mathématiques

Video thumbnail

mathematical statements -- Proof Writing 3

⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn 🟢 Discord: https://discord.gg/Ta6PTGtKBm ⭐my other channels⭐ Main Channel: https://www.youtube.

From playlist Proof Writing

Video thumbnail

More On Operators On L2 Part 1

Lecture with Ole Christensen. Kapitler: 00:00 - Repetition - L^2(R); 06:30 - Composition Of Opertors; 21:00 - Basis In Hilbert Spaces; 26:30 - Introduction To Orthonormal Bases; 29:30 - Def: Orthonormal System; 31:00 - Def: Orthonormal Basis; 33:15 - The Theorem 4.7.2 ; 43:00 - Proof Of

From playlist DTU: Mathematics 4 Real Analysis | CosmoLearning.org Math

Video thumbnail

What We've Learned from NKS Chapter 12: The Principle of Computational Equivalence [Part 2]

In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th

From playlist Science and Research Livestreams

Video thumbnail

Position and Momentum Operators in Quantum Mechanics

We've learned a bit about quantum mechanics from a strictly conceptual and qualitative standpoint. But now it's time to dig a little deeper. Quantum mechanics is mathematics, so if we want to understand it on a fundamental level, we have to dig into the math. Unfortunately, the math is rat

From playlist Modern Physics

Video thumbnail

Séminaire Bourbaki - 21/06/2014 - 4/4 - Thierry COQUAND

Théorie des types dépendants et axiome d'univalence Cet exposé sera une introduction à la théorie des types dépendants et à l'axiome d'univalence. Cette théorie est une alternative à la théorie des ensembles comme fondement des mathématiques. Guidé par une interprétation d'un type comme u

From playlist Bourbaki - 21 juin 2014

Video thumbnail

Online-Vortrag "Blick in den Körper: Über das Inverse und medizinische Bildgebung" (Director's Cut)

Aufzeichnung (Director's Cut): Prof. Dr. Benedikt Wirth erläutert im Rahmen der öffentlichen Reihe "Brücken in der Mathematik" die mathematischen Konzepte hinter der medizinischen Bildgebung. Darum geht es: Moderne Technik erlaubt den Blick in den Körper, ohne ihn zu öffnen. Es wird sozu

From playlist Brücken in der Mathematik

Video thumbnail

Evaluating an expression with one variable ex 3, (2x - 4)/4x; x = -3

👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)

From playlist Simplify Expressions Using Order of Operations

Video thumbnail

Why Momentum in Quantum Physics is Complex

In classical physics, we are used to calculating an object's momentum by multiplying its mass by its velocity. But how do we deal with momentum in Quantum Mechanics, where we commonly deal with wave functions? A wave function is a mathematical function that contains all the information we

From playlist Quantum Physics by Parth G

Related pages

Differential operator | Reductive group | Riemann sphere | Complex plane | Kac–Moody algebra | Lie group | Borel subgroup | Connected space | Mathematics | Spectrum (functional analysis) | Maximal torus | Algebraic variety | Lie algebra