A choice function (selector, selection) is a mathematical function f that is defined on some collection X of nonempty sets and assigns some element of each set S in that collection to S by f(S); f(S) maps S to some element of S. In other words, f is a choice function for X if and only if it belongs to the direct product of X. (Wikipedia).
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
How to determine if an ordered pair is a function or not
👉 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
Using the vertical line test to determine if a graph is a function or not
👉 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
How to determine if a set of points is a function, onto, one to one, domain, range
👉 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
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
Determine the domain, range and if a relation is 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
Choice Functions & The Axiom of Choice | Nathan Dalaklis
The Axiom of Choice is often stated in an equivalent form; the Cartesian product of a collection of non-empty sets is non-empty, however, what is the original statement, and what does it have to do with functions? Also, what is a choice function? In this discussion of the axiom of choice,
From playlist The First CHALKboard
What are bounded functions and how do you determine the boundness
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi
From playlist Characteristics of Functions
Choice Functions and Length: Why you can't measure everything you choose
I haven't talked about the axiom of choice in a while, and the relationship between choice functions and length (or size) and why you can't measure everything you choose seemed like a good way to do so. The interplay between choice functions and how one can construct sets for which measure
From playlist The New CHALKboard
AP Calculus AB 2008 Multiple Choice (No Calculator)
In this video, I go through no calculator multiple choice questions from the 2008 AP Calculus exam. The theme in this video is to show the most efficient solution to all questions so that the viewer can finish this section of the AP test at a 2 min/question pace. If you found this video h
From playlist AP Calculus AB/BC Review
Axiom of Choice and Regularity each imply LEM
I recommend you go through all parts, but thee AC-LEM proof starts at 55:30. If you skip stuff, still watch the section at 8:22, because I talk in terms of those semantics later. The Regularity-LEM proof at 1:50:55 requires definitions from the earlier AC-LEM proof. Timestamps: 0:00 Intro
From playlist Summer of Math Exposition 2 videos
Web Development Tutorial - JavaScript, HTML, CSS - Rock Paper Scissors Game
This web development tutorial shows how to use JavaScript, HTML, and CSS to create a Rock Paper Scissors Game in the browser. Tutorial by whatsdev. Check out their channel: https://www.youtube.com/channel/UC0tRdbXVDbhaRvZPKsRgmxg -- Learn to code for free and get a developer job: https:
From playlist JavaScript Tutorials
AP Calculus AB 1998 Multiple Choice No Calculator
This video reviews the No Calculator Multiple Choice questions from the 1998 AP Calculus AB exam.
From playlist AP Calculus AB/BC Review
AP Calculus AB 2008 Multiple Choice (Calculator) - Questions 76-92
This video focuses on the 2008 AP Calculus AB 2008 Calculator section. I show viewers how to use the TI Calculator in an efficient way to shorten techniques such as derivatives and integration. If you found this video helpful, please click LIKE and SUBSCRIBE. Leave requests in the comment
From playlist AP Calculus AB/BC Review
Mod-01 Lec-01 Definition of Game Theory and Rational Choice
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
STAAR Algebra 1 Test May 2021 (questions 1 - 54)
In this video I go through the STAAR Algebra 1 Test May 2021 (questions 1-54). I show a combination of algebraic and calculator techniques to go through all 54 questions. Some of the concepts covered in this video include: finding slope between two points, writing the equation of a line,
From playlist Algebra 1
“Choice Modeling and Assortment Optimization” - Session I - Prof. Huseyin Topaloglu
This module overviews static and dynamic assortment optimization problems. We start with an introduction to discrete choice modeling and discuss estimation issues when fitting a choice model to observed sales histories. Following this introduction, we discuss static and dynamic assortment
From playlist Thematic Program on Stochastic Modeling: A Focus on Pricing & Revenue Management​
How to determine if 3 graphs represent a function and determine domain range
👉 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