Types of functions | Computer algebra | Differential algebra
In mathematics, the Liouvillian functions comprise a set of functions including the elementary functions and their repeated integrals. Liouvillian functions can be recursively defined as integrals of other Liouvillian functions. More explicitly, a Liouvillian function is a function of one variable which is the composition of a finite number of arithmetic operations (+, −, ×, ÷), exponentials, constants, solutions of algebraic equations (a generalization of nth roots), and antiderivatives. The logarithm function does not need to be explicitly included since it is the integral of . It follows directly from the definition that the set of Liouvillian functions is closed under arithmetic operations, composition, and integration. It is also closed under differentiation. It is not closed under limits and infinite sums. Liouvillian functions were introduced by Joseph Liouville in a series of papers from 1833 to 1841. (Wikipedia).
How a special function, called the "Lagrangian", can be used to package together all the steps needed to solve a constrained optimization problem.
From playlist Multivariable calculus
Meaning of Lagrange multiplier
In the previous videos on Lagrange multipliers, the Lagrange multiplier itself has just been some proportionality constant that we didn't care about. Here, you can see what its real meaning is.
From playlist Multivariable calculus
Definition of a Surjective Function and a Function that is NOT Surjective
We define what it means for a function to be surjective and explain the intuition behind the definition. We then do an example where we show a function is not surjective. Surjective functions are also called onto functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear ht
From playlist Injective, Surjective, and Bijective Functions
David Blázquez Sanz, Universidad Nacional de Colombia
March 12, David Blázquez-Sanz, Universidad Nacional de Colombia Liouvillian solutions for the general trace-free second order linear differential equation with Laurent polynomial coefficient
From playlist Spring 2021 Online Kolchin Seminar in Differential Algebra
Lindbladians with multiple steady states: theory and (...) - V. Albert - Workshop 2 - CEB T2 2018
Victor Albert (Caltech) / 05.06.2018 Lindbladians with multiple steady states: theory and applications Markovian master equations, often called Liouvillians or Lindbladians, are used to describe decay and decoherence of a quantum system induced by that system's environment. While a natur
From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments
Degenerated Liouvillians and Controlling Transport by Juzar Thingna
PROGRAM NON-HERMITIAN PHYSICS (ONLINE) ORGANIZERS: Manas Kulkarni (ICTS, India) and Bhabani Prasad Mandal (Banaras Hindu University, India) DATE: 22 March 2021 to 26 March 2021 VENUE: Online Non-Hermitian Systems / Open Quantum Systems are not only of fundamental interest in physics a
From playlist Non-Hermitian Physics (ONLINE)
What is an Injective Function? Definition and Explanation
An explanation to help understand what it means for a function to be injective, also known as one-to-one. The definition of an injection leads us to some important properties of injective functions! Subscribe to see more new math videos! Music: OcularNebula - The Lopez
From playlist Functions
11. Kinetic Theory of Gases Part 5
MIT 8.333 Statistical Mechanics I: Statistical Mechanics of Particles, Fall 2013 View the complete course: http://ocw.mit.edu/8-333F13 Instructor: Mehran Kardar This is the fifth of five lectures on the Kinetic Theory of Gases. License: Creative Commons BY-NC-SA More information at http:
From playlist MIT 8.333 Statistical Mechanics I: Statistical Mechanics of Particles, Fall 2013
13. Derivation of optical Bloch equations
MIT 8.422 Atomic and Optical Physics II, Spring 2013 View the complete course: http://ocw.mit.edu/8-422S13 Instructor: Wolfgang Ketterle In this lecture, the professor focused on the derivation of optical Bloch equations. License: Creative Commons BY-NC-SA More information at http://ocw.
From playlist MIT 8.422 Atomic and Optical Physics II, Spring 2013
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
Kaisa Matomäki: Higher order uniformity of the Möbius function
The Liouville function $\lambda(n)$ takes the value +1 or -1 depending on whether $n$ has an even or an odd number of prime factors. The Liouville function is closely related to the characteristic function of the primes and is believed to behave more-or-less randomly. I will discuss my ve
From playlist Virtual Conference
This Video will explain to draw linier function by geogebra.
From playlist CALCULUS
Maximize a Function of Two Variable Under a Constraint Using Lagrange Multipliers
This video explains how to use Lagrange Multipliers to maximize a function under a given constraint. The results are shown in 3D.
From playlist Lagrange Multipliers
Lilya Budaghyan : On APN and AB power functions
CONFERENCE Recording during the thematic meeting : « ALgebraic and combinatorial methods for COding and CRYPTography» the February 23, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given b
From playlist Combinatorics
Kotlin Functions Tutorial | Kotlin Functional Programming Explained | Kotlin Tutorial | Simplilearn
🔥Post Graduate Program In Full Stack Web Development: https://www.simplilearn.com/pgp-full-stack-web-development-certification-training-course?utm_campaign=KotlinFunctionsTutorial-obN78NEd47g&utm_medium=DescriptionFF&utm_source=youtube 🔥Caltech Coding Bootcamp (US Only): https://www.simpli
From playlist C++ Tutorial Videos
Mathematical Functions and Properties
The Wolfram Language has over 250 mathematical functions, including well-known elementary and special functions that have played a crucial role in the development of science for decades. Although this set is almost complete, we are continuously implementing new functionality for mathematic
From playlist Wolfram Technology Conference 2020
Lagrange multipliers: Extreme values of a function subject to a constraint
Free ebook http://tinyurl.com/EngMathYT I discuss and solve an example where the points on an ellipse are sought that maximize and minimize the function $f(x,y) := xy$. The method of solution involves an application of Lagrange multipliers. Such an example is seen in 1st and 2nd year uni
From playlist Lagrange multipliers
Lecture 9.1 Periodic functions
Periodic functions are functions that repeat themselves at regular intervals. In this lecture, we discuss the properties of periodic functions.
From playlist MATH2018 Engineering Mathematics 2D