Functions and mappings | Basic concepts in set theory
The mathematical concept of a function emerged in the 17th century in connection with the development of the calculus; for example, the slope of a graph at a point was regarded as a function of the x-coordinate of the point. Functions were not explicitly considered in antiquity, but some precursors of the concept can perhaps be seen in the work of medieval philosophers and mathematicians such as Oresme. Mathematicians of the 18th century typically regarded a function as being defined by an analytic expression. In the 19th century, the demands of the rigorous development of analysis by Weierstrass and others, the reformulation of geometry in terms of analysis, and the invention of set theory by Cantor, eventually led to the much more general modern concept of a function as a single-valued mapping from one set to another. (Wikipedia).
Determine if a Relation is a Function
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From playlist Intro to Functions
What is a Function in Math and Physics? (A more intuitive explanation of Function Definition)
0:00 Introduction 3:35 Examples of functions and why we care 14:55 Make own function 19:12 Definition of a function 21:48 Outro
From playlist Summer of Math Exposition Youtube Videos
Introduction to Relations and Functions (L9.1)
This lesson introduces functions and explains how to determine if a relations is a function. The vertical line also used. Video content created by Jenifer Bohart, William Meacham, Judy Sutor, and Donna Guhse from SCC (CC-BY 4.0)
From playlist Introduction to Functions: Function Basics
Pre-Calculus - Vocabulary of functions
This video describes some of the vocabulary used with functions. Specifically it covers what a function is as well as the basic idea behind its domain and range. For more videos visit http://www.mysecretmathtutor.com
From playlist Pre-Calculus - Functions
In this video, I talk about the definition of a function and properties of functions. I also go over some examples of how to determine whether a relation is a function or not and how to evaluate functions. Enjoy! Facebook: https://www.facebook.com/braingainzofficial Instagram: https://
From playlist College Algebra
Working with Functions (1 of 2: Notation & Terminology)
More resources available at www.misterwootube.com
From playlist Working with Functions
This video explains what a mathematical function is and how it defines a relationship between two sets, the domain and the range. It also introduces three important categories of function: injective, surjective and bijective.
From playlist Foundational Math
Introduction to Function Notation (L9.2)
This lesson introduces function notation and emphasizes the relationship between ordered pairs and function notation. Function inputs and outputs are found. Video content created by Jenifer Bohart, William Meacham, Judy Sutor, and Donna Guhse from SCC (CC-BY 4.0)
From playlist Introduction to Functions: Function Basics
From playlist 2. Attributes of Functions
ReBeL - Combining Deep Reinforcement Learning and Search for Imperfect-Information Games (Explained)
#ai #technology #poker This paper does for Poker what AlphaZero has done for Chess & Go. The combination of Self-Play Reinforcement Learning and Tree Search has had tremendous success in perfect-information games, but transferring such techniques to imperfect information games is a hard p
From playlist Papers Explained
Mod-05 Lec-35 Nash Equilibrium and Its Problems
Game Theory and Economics by Dr. Debarshi Das, Department of Humanities and Social Sciences, IIT Guwahati. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist IIT Guwahati: Game Theory and Economics | CosmoLearning.org Economics
Mod-05 Lec-34 Classical Criticism
English Language and Literature by Dr. Liza Das & Dr. Krishna Barua,Department of Humanities and Social Sciences,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Guwahati: English Language and Literature | CosmoLearning.org English Language
Live CEOing Ep 628: Language Design in Wolfram Language [Multicomputation]
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to 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 Wolfram
From playlist Behind the Scenes in Real-Life Software Design
On Genealogy (Genealogical Debunking/Skepticism)
We suffer from genealogical anxiety when we worry that the contingent origins of our representations, once revealed, will somehow undermine or cast doubt on those representations. Is such anxiety ever rational? Many have apparently thought so, from pre-Socratic critics of Greek theology to
From playlist Social & Political Philosophy
Barcodes, on most products properly called a UPC, or “Universal Product Code,” are now a necessity for everyday life, making it possible for the massive and complex trade networks and supply systems of the modern world to function. The History Guy remembers its humble beginnings. It is his
From playlist History without War
The Metaphysics of Homology: The Molecular Basis of Character Identity
Franke Program in Science & The Humanities, Guntar Wagner, April 1, 2014 Yale Professor of Ecology and Evolutionary Biology, Gunter Wagner, delivers a lecture based on his new book "Homology, Genes, and Evolutionary Innovation." Wagner provides this abstract of his talk: Like other founda
From playlist Franke Program in Science and the Humanities
Mind & Brain: Philosophy of Mind in the 20th Century (Terry Horgan)
Terry Horgan gives a talk on the nature of the mind and the history of the philosophy of mind in the 20th century. This talk was given in 2009 at the University of Alabama as part of the Philosophy Today series. Source: https://podcasts.apple.com/us/podcast/mind-brain-philosophy-mind-in-tw
From playlist Philosophy of Mind
David Relman - Microbes and Pregnancy
David Relman discusses the microbiome during pregnancy and the consequences for health and disease at the 2016 Childx Symposium. Childx is a dynamic, TED-style conference designed to inspire innovation that improves pediatric and maternal health. Visit our website at http://childx.stanford
From playlist Stanford Childx Conference 2016
Mod-05 Lec-36 Subgame Perfect Nash Equilibrium
Game Theory and Economics by Dr. Debarshi Das, Department of Humanities and Social Sciences, IIT Guwahati. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist IIT Guwahati: Game Theory and Economics | CosmoLearning.org Economics
As part of the college algebra series, this Center of Math video will teach you the basics of functions, including how they're written and what they do.
From playlist Basics: College Algebra