Functions and mappings | Modular arithmetic
In number theory, a branch of mathematics, the Carmichael function λ(n) of a positive integer n is the smallest positive integer m such that holds for every integer a coprime to n. In algebraic terms, λ(n) is the exponent of the multiplicative group of integers modulo n. The Carmichael function is named after the American mathematician Robert Carmichael who defined it in 1910. It is also known as Carmichael's λ function, the reduced totient function, and the least universal exponent function. The following table compares the first 36 values of λ(n) (sequence in the OEIS) with Euler's totient function φ (in bold if they are different; the ns such that they are different are listed in OEIS: ). (Wikipedia).
2.11117 What is a rational function Functions
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From playlist Rational Functions - Understanding
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
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From playlist Electronics I: Semiconductor Physics and Devices
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
The Lambert W Function Introduction
This function comes up as a solution to equations ranging from pure math to quantum physics to biology. In this video, I introduce the concepts behind the function and give some sample calculations. There's lots more to this function, so explore it on your own if you're interested.
From playlist Math
In this video we cover some rational function fundamentals, including asymptotes and interecepts.
From playlist Polynomial Functions
The High Schooler Who Solved a Prime Number Theorem
In his senior year of high school, Daniel Larsen proved a key theorem about Carmichael numbers — strange entities that mimic the primes. “It would be a paper that any mathematician would be really proud to have written,” said one mathematician. Read more at Quanta Magazine: https://www.qua
From playlist Discoveries
CTNT 2018 - "L-functions and the Riemann Hypothesis" (Lecture 4) by Keith Conrad
This is lecture 4 of a mini-course on "L-functions and the Riemann Hypothesis", taught by Keith Conrad, during CTNT 2018, the Connecticut Summer School in Number Theory. For more information about CTNT and other resources and notes, see https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2018 - "L-functions and the Riemann Hypothesis" by Keith Conrad
Lecture 13 | African-American Freedom Struggle (Stanford)
Lecture 13 of Clay Carson's Introduction to African-American History Course (HIST 166) concentrating on the Modern Freedom Struggle (Fall 2007). This lecture is entitled "Stokely Carmichael Defines Black Power". Recorded November 8, 2007 at Stanford University. This course introduces
From playlist Course | African-American History: Modern Freedom Struggle
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
Season 8 Highlights — and a Host Reunion! | Women at Work | Podcast
Former co-hosts Sarah, Nicole, and Emily reunite with the Amys to discuss the insights and advice that most resonated with them from this season, from how they gained their team’s trust as a first-time manager to how they’re now thinking about retirement. They also talk about their related
From playlist Women at Work | Podcast
THE REAL DALE PROTOTYPE | THE DALE FROM THE LADY AND THE DALE
The story of the Dale begins with the meeting of Liz Carmichael and Dale Clifft, both of whom worked at the United States Marketing Institute (USMI) during 1973, the year of the first OPEC oil embargo that brought about the first gas crisis. Seemingly the right car at the right time, Clif
From playlist Petersen Deep Dives
Introduction to Discrete and Continuous Functions
This video defines and provides examples of discrete and continuous functions.
From playlist Introduction to Functions: Function Basics
Fermat’s HUGE little theorem, pseudoprimes and Futurama
A LOT of people have heard about Andrew Wiles solving Fermat's last theorem after people trying in vain for over 350 years. Today's video is about Fermat's LITTLE theorem which is at least as pretty as its much more famous bigger brother, which has a super pretty accessible proof and which
From playlist Recent videos
Lecture 14 - Number Theory - Problem Discussion
This is Lecture 14 of the COMP300E (Programming Challenges) course taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Hong Kong University of Science and Technology in 2009. The lecture slides are available at: http://www.algorithm.cs.sunysb.edu/programmingchallenges
From playlist COMP300E - Programming Challenges - 2009 HKUST
History and the Dale, a car ahead of its time
The History Guy remembers the world's first space age automobile, the Dale, and the forgotten history surrounding it including the Yom Kippur War and gas crisis. The History Guy uses images that are in the Public Domain. As photographs of actual events are often not available, I will som
From playlist Automotive history
Presented by Chris Eller, Matt Mercer, and Tassie Gniady. IU has a broad history of working with a variety of media and methods of interaction. In this session, you'll learn about two cutting-edge technologies: 360 and stereoscopic media. New 360 images and videos are available on your mob
From playlist Augmented, Virtual, and Extended Reality Seminar Series
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
American History: From Emancipation to the Present (AFAM 162) Just as Martin Luther King, Jr. and Malcolm X have been mythologized in American history, organizations and individuals affiliated with the Black Power call have also been romanticized as well as demonized in such a way that th
From playlist American History: From Emancipation to the Present