Predicate logic | Functions and mappings | Mathematical relations | Logical expressions
In propositional calculus, a propositional function or a predicate is a sentence expressed in a way that would assume the value of true or false, except that within the sentence there is a variable (x) that is not defined or specified (thus being a free variable), which leaves the statement undetermined. The sentence may contain several such variables (e.g. n variables, in which case the function takes n arguments). (Wikipedia).
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
Determine if a Relation is a Function
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From playlist Intro to Functions
What is a function? How do you use the vertical line test? Learn more about functions and determine if mappings, sets of ordered pairs, tables, or graphs are functions in this short algebra video. Need more math help? Check out our algebra and geometry lessons at katesmathlessons.com
From playlist Algebra 1
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
Functions of equations - IS IT A FUNCTION
👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r
From playlist What is the Domain and Range of the Function
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
Determine if the equation represents a function
👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r
From playlist What is the Domain and Range of the Function
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
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
The Curry-Howard correspondence in logic and programming language theory
https://en.wikipedia.org/wiki/Curry%E2%80%93Howard_correspondence 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 contact in the About section or googling my contacts.
From playlist Programming
Discrete Math - 1.4.1 Predicate Logic
Introduction to predicates and propositional functions. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)
Proving the law of excluded middle (LEM)
In this video we're constructively proving a classical equivalent of the law of excluded middle, namely the law of non-contradiction. That is to say, we prove a statement that, when classically interpreted, just reduces to forall P. P or not P. https://en.wikipedia.org/wiki/Modus_ponens h
From playlist Logic
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
Logic 2 - First-order Logic | Stanford CS221: AI (Autumn 2019)
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3bg9F0C Topics: First-order Logic Percy Liang, Associate Professor & Dorsa Sadigh, Assistant Professor - Stanford University http://onlinehub.stanford.edu/ Associa
From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2019
Category Theory 8.2: Type algebra, Curry-Howard-Lambek isomorphism
Type algebra, Curry-Howard-Lambek isomorphism
From playlist Category Theory
Martin Hötzel Escardó: Constructive Mathematics in Univalent Type Theory (Lecture I)
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions
From playlist HIM Lectures: Trimester Program "Types, Sets and Constructions"
Logic 1 - Propositional Logic | Stanford CS221: AI (Autumn 2019)
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3ChWesU Topics: Logic Percy Liang, Associate Professor & Dorsa Sadigh, Assistant Professor - Stanford University http://onlinehub.stanford.edu/ Associate Professor
From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2019
SĂ©minaire 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
Why should you learn Type Theory?
This video tries to be a brief introduction to Type Theory. I am sorry for the inaccuracies or potential errors. Feel free to tell me in the comments, I just started learning about this topic but I found it too amazing not to share. As you probably already can tell, this is my first video
From playlist Summer of Math Exposition Youtube Videos
Algebra 2 2.01a - What is a Function
What is a function? The concept of a function is explained through the use of a specific example of Pressure versus Depth, and the idea of a dependent and an independent variable is discussed. This is the first video in Chapter 2 of the Algebra 2 course by Derek Owens. More info about t
From playlist Algebra 2 Chapter 2: Functions (Selected videos)