Harmonic functions | Several complex variables

Pluriharmonic function

In mathematics, precisely in the theory of functions of several complex variables, a pluriharmonic function is a real valued function which is locally the real part of a holomorphic function of several complex variables. Sometimes such a function is referred to as n-harmonic function, where n ≥ 2 is the dimension of the complex domain where the function is defined. However, in modern expositions of the theory of functions of several complex variables it is preferred to give an equivalent formulation of the concept, by defining pluriharmonic function a complex valued function whose restriction to every complex line is a harmonic function with respect to the real and imaginary part of the complex line parameter. (Wikipedia).

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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

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Sigmoid functions for population growth and A.I.

Some elaborations on sigmoid functions. https://en.wikipedia.org/wiki/Sigmoid_function https://www.learnopencv.com/understanding-activation-functions-in-deep-learning/ If you have any questions of want to contribute to code or videos, feel free to write me a message on youtube or get my co

From playlist Analysis

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What are the Inverse Trigonometric functions and what do they mean?

👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-

From playlist Evaluate Inverse Trigonometric Functions

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Trigonometry - Vocabulary of trigonometric functions

In this video will cover some of the basic vocabulary that you'll hear when working with trigonometric functions. Specifically we'll cover what is trigonometry, angles, and defining the trigonometric functions as ratios of sides. You'll hear these terms again as we dig deeper into the st

From playlist Trigonometry

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What is a Function? | Don't Memorise

✅To learn more about Trigonometry, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=g1FqhHpnBdw&utm_term=%7Bkeyword%7D In this video, we will learn: 0:00 Introduction 0:19 what is a function? To watch

From playlist Middle School - Trigonometry

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Definition of an Injective Function and Sample Proof

We define what it means for a function to be injective and do a simple proof where we show a specific function is injective. Injective functions are also called one-to-one functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (these are my affil

From playlist Injective, Surjective, and Bijective Functions

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Find the value of the trigonometric expression using inverse

👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function, you first evaluate the one inside the parenthesis. We

From playlist Evaluate a Composition of Inverse Trigonometric Functions

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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

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Kotlin Functions Tutorial | Kotlin Functional Programming Explained | Kotlin Tutorial | Simplilearn

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From playlist C++ Tutorial Videos

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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

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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

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Kazuo Murota: Extensions and Ramifications of Discrete Convexity Concepts

Submodular functions are widely recognized as a discrete analogue of convex functions. This convexity view of submodularity was established in the early 1980's by the fundamental works of A. Frank, S. Fujishige and L. Lovasz. Discrete convex analysis extends this view to broader classes of

From playlist HIM Lectures 2015

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Christian Berg: From Herglotz-Nevanlinna functions to completely monotonic functions

CONFERENCE Recorded during the meeting " ​Herglotz-Nevanlinna Functions and their Applications to Dispersive Systems and Composite Materials " the May 24, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video a

From playlist Analysis and its Applications

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JavaScript Functions | JavaScript Functions Explained |JavaScript Tutorial For Beginners|Simplilearn

🔥Post Graduate Program In Full Stack Web Development: https://www.simplilearn.com/pgp-full-stack-web-development-certification-training-course?utm_campaign=JavaScriptFunctionsMay18-2vbr9f7OVMY&utm_medium=Descriptionff&utm_source=youtube 🔥Caltech Coding Bootcamp (US Only): https://www.simp

From playlist JavaScript Tutorial Videos 🔥[2022 Updated]

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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

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JavaScript Function - What's your Function?

Master the basics of JavaScript Functions 🚂 in a fun tutorial packed full of 90's nostalgia. https://fireship.io/courses/javascript/beginner-js-functions/ - Anatomy of a Function - Statement vs Expression - IIFE - Parameters - Arrow Functions - Higher Order Functions - Pure Functions - Re

From playlist That Weird JavaScript Course

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Plurisubharmonic function | Differentiable function | Complex manifold | Local property | Line (geometry) | Wirtinger derivatives | Boundary value problem | Mathematics | Function (mathematics) | Real number | Trace operator | Holomorphic function | Harmonic function | Tuple | Complex number | Domain (mathematical analysis) | Dirichlet problem | Enzo Martinelli | Function of several complex variables