In formal logic and related branches of mathematics, a functional predicate, or function symbol, is a logical symbol that may be applied to an object term to produce another object term.Functional predicates are also sometimes called mappings, but that term has additional meanings in mathematics.In a model, a function symbol will be modelled by a function. Specifically, the symbol F in a formal language is a functional symbol if, given any symbol X representing an object in the language, F(X) is again a symbol representing an object in that language.In typed logic, F is a functional symbol with domain type T and codomain type U if, given any symbol X representing an object of type T, F(X) is a symbol representing an object of type U.One can similarly define function symbols of more than one variable, analogous to functions of more than one variable; a function symbol in zero variables is simply a constant symbol. Now consider a model of the formal language, with the types T and U modelled by sets [T] and [U] and each symbol X of type T modelled by an element [X] in [T].Then F can be modelled by the set which is simply a function with domain [T] and codomain [U].It is a requirement of a consistent model that [F(X)] = [F(Y)] whenever [X] = [Y]. (Wikipedia).
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
What is Functional Programming?
We will discuss the state of functional programming in brief across several languages. Also a discussion on the broader goals of functional programming and this meetup. EVENT: OKC FP 2020 SPEAKER: Scott Murphy PUBLICATION PERMISSIONS: The conference organizer provided Coding Tech wit
From playlist Functional Programming
The Essence of Functional Programming
This talk dives into the origins of functional programming, going all the way back to where the term was first introduced, to see how it evolved over time into our modern understanding of what FP essentially involves. PUBLICATION PERMISSIONS: Original video was published with the Creative
From playlist Functional Programming
Functional Programming for Beginners: Pure Functions Explained
Why is it that pure functions can’t use mutable states in most cases, and how do you fight mutability by working with immutable values? Check it out in this live coding session by Michal Plachta, the author of Grokking Functional Programming. Watch the full video at: http://mng.bz/J24a 📚
From playlist Functional Programming
SYN102 - Syntactic Functions in PDE
This introductory E-Lecture, which is part of our series "The Structure of English", discusses the central syntactic functional elements of clause structure in PDE. It serves as an overview, i.e. as a first approach towards a functional analysis of PDE clause structure.
From playlist VLC107 - Syntax: Part II
Don’t Be Scared Of Functional Programming
As software becomes more and more complex, it is more and more important to structure it well. Well-structured software is easy to write, easy to debug, and provides a collection of modules that can be re-used to reduce future programming costs. Conventional languages place conceptual limi
From playlist Functional Programming
C9 Lectures: Dr. Erik Meijer - Functional Programming Fundamentals Chapter 6 of 13
We've kicked off C9 Lectures with a journey into the world of Functional Programming with functional language purist and high priest of the lambda calculus, Dr. Erik Meijer (you can thank Erik for many of the functional constructs that have shown up in languages like C# and VB.NET. When yo
From playlist Haskell - Functional Programming Fundamentals (Dr. Erik Meijer )
Programming Languages - (part 5 of 7)
How source code becomes a running program, how languages are categorized, and a survey of important languages. Part of a larger series teaching programming. Visit http://codeschool.org
From playlist Programming Languages
Working with Functions (1 of 2: Notation & Terminology)
More resources available at www.misterwootube.com
From playlist Working with Functions
Complete Statistical Theory of Learning (Vladimir Vapnik) | MIT Deep Learning Series
Lecture by Vladimir Vapnik in January 2020, part of the MIT Deep Learning Lecture Series. Slides: http://bit.ly/2ORVofC Associated podcast conversation: https://www.youtube.com/watch?v=bQa7hpUpMzM Series website: https://deeplearning.mit.edu Playlist: http://bit.ly/deep-learning-playlist
From playlist AI talks
Live CEOing Ep 73: Language Design in Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Language Design in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
On Approximability of CSPs on Satisfiable Instances - Subhash Khot
Computer Science/Discrete Mathematics Seminar I Topic: On Approximability of CSPs on Satisfiable Instances Speaker: Subhash Khot Affiliation: New York University Date: November 22, 2021 Constraint Satisfaction Problems (CSPs) are among the most well-studied problems in Computer Science,
From playlist Mathematics
Functional Programming in Java - Full Course
Learn all about Functional Programming in Java with this full tutorial course for beginners. Functional programming will help you reduce and simplify your code. You will learn the power of Java Functional Interfaces and how they can be used to create powerful statements and design pattern
From playlist Java Tutorials
An Overview of Predicate Logic for Linguists - Semantics in Linguistics
This video covers predicate logic in #semantics for #linguistics. We talk about predicates, quantifiers (for all, for some), how to translate sentences into predicate logic, scope, bound variables, free variables, and assignment functions. Join this channel to get access to perks: https:/
From playlist Semantics in Linguistics
Application: List Comprehensions in C! C Tutorial 19.1
List comprehensions and transformations in the C programming language
From playlist C Tutorial
Topoi 1: Predicates vs. subsets
Topos, topoi, toposes. This is the warmup video for the discussion of the Subobject Classifier in a category of sets, in the next video. The document used can be found here: https://gist.github.com/Nikolaj-K/469b9ca1c085ea4ac4e3d7d0008913f5 Typo: In minute 42, the membership relation on sh
From playlist Logic
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)
On the Approximation Resistance of Balanced Linear Threshold Functions - Aaron Potechin
Computer Science/Discrete Mathematics Seminar I Topic: On the Approximation Resistance of Balanced Linear Threshold Functions Speaker: Aaron Potechin Affiliation: University of Chicago Date: March 25, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Gödel's Incompleteness Theorems: An Informal Introduction to Formal Logic #SoME2
My entry into SoME2. Also, my first ever video. I hope you enjoy. The Book List: Logic by Paul Tomassi A very good first textbook. Quite slow at first and its treatment of first-order logic leaves a little to be desired in my opinion, but very good on context, i.e. why formal logic is im
From playlist Summer of Math Exposition 2 videos
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