Analytic functions

Univalent function

In mathematics, in the branch of complex analysis, a holomorphic function on an open subset of the complex plane is called univalent if it is injective. (Wikipedia).

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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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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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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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Rational Functions

In this video we cover some rational function fundamentals, including asymptotes and interecepts.

From playlist Polynomial Functions

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Abstract Algebra | Injective Functions

We give the definition of an injective function, an outline of proving that a given function is injective, and a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

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The Definition of a Surjective(Onto) Function and Explanation

The Definition of a Surjective(Onto) Function and Explanation

From playlist Functions, Sets, and Relations

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Benedikt Ahrens - Univalent Foundations and the UniMath library - IPAM at UCLA

Recorded 13 February 2023. Benedikt Ahrens of Delft University of Technology presents "Univalent Foundations and the UniMath library" at IPAM's Machine Assisted Proofs Workshop. Abstract: Univalent Foundations (UF) were designed by Voevodsky as a foundation of mathematics that is "invarian

From playlist 2023 Machine Assisted Proofs Workshop

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Injective, Surjective and Bijective Functions (continued)

This video is the second part of an introduction to the basic concepts of functions. It looks at the different ways of representing injective, surjective and bijective functions. Along the way I describe a neat way to arrive at the graphical representation of a function.

From playlist Foundational Math

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5 - Kick-off afternoon : Vladimir Voevodsky, Univalent Foundations

Vladimir Voevodsky (Institute for Advanced Study, Princeton): Univalent Foundations - new type-theoretic foundations of mathematics

From playlist T2-2014 : Semantics of proofs and certified mathematics

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Egbert Rijke: Daily applications of the univalence axiom - lecture 1

HYBRID EVENT Recorded during the meeting "Logic and Interactions" the February 21, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual M

From playlist Combinatorics

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Comparing Iterative and Recursive Factorial Functions

Comparing iterative and recursive factorial functions

From playlist Computer Science

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Wolfram Physics Project: Working Session Thursday, July 23, 2020 [Metamathematics | Part 1]

This is a Wolfram Physics Project progress update at the Wolfram Summer School. Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am/physics-announce

From playlist Wolfram Physics Project Livestream Archive

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Math Talk! Dr Kevin Buzzard, Langlands, diversity, and proof assistants.

In this interview I chat with Dr. Kevin Buzzard about Langlands, diversity and getting more women in mathematics, and proof assistants, particularly Lean. The natural number game: https://www.ma.imperial.ac.uk/~buzzard/xena/natural_number_game/ Lean community: https://leanprover.githu

From playlist Math Talk!

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From Scratch to Univalence | #SoME2

#SoME2 A brief journey through the many different ways that Type theory can be understood from. From nothing to it's most important axiom (at the time of writting): The axiom of univalence. Hope you fellas enjoy it! Down here I'll leave some links and references to a couple of interesti

From playlist Summer of Math Exposition 2 videos

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Determine if a Function is a Polynomial Function

This video explains how to determine if a function is a polynomial function. http://mathispower4u.com

From playlist Determining the Characteristics of Polynomial Functions

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Egbert Rijke: Daily applications of the univalence axiom - lecture 2

HYBRID EVENT Recorded during the meeting "Logic and Interactions" the February 22, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual M

From playlist Combinatorics

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Charles Rezk - 4/4 Higher Topos Theory

Course at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/RezkNotesToposesOnlinePart4.pdf In this series of lectures I will give an introduction to the concept of "infinity

From playlist Toposes online

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Live CEOing Ep 410: Language Design in Wolfram Language [Combinators]

In this episode of Live CEOing, Stephen Wolfram reviews the design of some upcoming functionality for the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen W

From playlist Behind the Scenes in Real-Life Software Design

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Egbert Rijke: Daily applications of the univalence axiom - lecture 3

HYBRID EVENT Recorded during the meeting "Logic and Interactions" the February 24, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual M

From playlist Combinatorics

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Recursive Factorial Function

Introduction to recursion.

From playlist Computer Science

Related pages

Complex plane | Analytic function | Complex analysis | Connected space | De Branges's theorem | Mathematics | Surjective function | Real number | Koebe quarter theorem | Chain rule | Riemann mapping theorem | Injective function | Holomorphic function