Special functions | Theory of computation | Computability theory | Arithmetic | Large integers

In computability theory, the Ackermann function, named after Wilhelm Ackermann, is one of the simplest and earliest-discovered examples of a total computable function that is not primitive recursive. All primitive recursive functions are total and computable, but the Ackermann function illustrates that not all total computable functions are primitive recursive. After Ackermann's publication of his function (which had three non-negative integer arguments), many authors modified it to suit various purposes, so that today "the Ackermann function" may refer to any of numerous variants of the original function. One common version, the two-argument Ackermann–Péter function is defined as follows for nonnegative integers m and n: Its value grows rapidly, even for small inputs. For example, A(4, 2) is an integer of 19,729 decimal digits (equivalent to 265536−3, or 22222−3). (Wikipedia).

(New Version Available) Inverse Functions

New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/

From playlist Exponential and Logarithmic Expressions and Equations

Integration mit Hilfe der inversen Funktion

Englische Version: https://youtu.be/Qsr-VriK294 Im heutigen Video werden wir erlernen, wie man eine Inverse Funktion integriert, bzw. wie man mit Hilfe einer Besagten integriert.

From playlist Theorie und Beweise

Ex 2: Find the Inverse of a Function

This video provides two examples of how to determine the inverse function of a one-to-one function. A graph is used to verify the inverse function was found correctly. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com

From playlist Determining Inverse Functions

Define an inverse function. Determine if a function as an inverse function. Determine inverse functions.

From playlist Determining Inverse Functions

Strong and Weak Epsilon Nets and Their Applications - Noga Alon

Noga Alon Tel Aviv University; Institute for Advanced Study November 7, 2011 I will describe the notions of strong and weak epsilon nets in range spaces, and explain briefly some of their many applications in Discrete Geometry and Combinatorics, focusing on several recent results in the in

From playlist Mathematics

Programming Loops vs Recursion - Computerphile

Programming loops are great, but there's a point where they aren't enough. Professor Brailsford explains. EXTRA BITS: https://youtu.be/DVG5G1V8Zx0 The Most Difficult Program to Compute?: https://youtu.be/i7sm9dzFtEI What on Earth is Recursion?: https://youtu.be/Mv9NEXX1VHc Reverse Poli

From playlist Subtitled Films

Title: Differential Kernels and Bounds for the Consistency of Differential Equations

From playlist Differential Algebra and Related Topics VII (2016)

26C3: Chaos-Familien-Duell 6/12

Clip 6/12 Speakers: Alexander Brock, Marcel Ackermann Zwei Chaos-Familien treten gegeneinander an, doch es kann nur eine geben. Team-Anmeldungen sind begrenzt! Meldet Euch im Event-Wiki an: http://events.ccc.de/congress/2009/wiki/Chaos-Familien-Duell For more information go to: h

From playlist 26C3: Here be dragons day 1

Transcendental Functions 3 Examples using Properties of Logarithms.mov

Examples using the properties of logarithms.

From playlist Transcendental Functions

What are the Inverse Trigonometric functions and what do they mean?

👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-

From playlist Evaluate Inverse Trigonometric Functions

In this video, we begin looking at inverse functions. We do not worry about the domain and range of the inverse function, we focus only on finding the rule for the inverse function. The domain and range of the inverse function will be covered in future videos. We do, however, include an ex

From playlist All Videos

The Most Difficult Program to Compute? - Computerphile

The story of recursion continues as Professor Brailsford explains one of the most difficult programs to compute: Ackermann's function. Professor Brailsford's programs: http://bit.ly/1nhKtW4 Follow Up Film from the Prof in response to this film: https://www.youtube.com/watch?v=uNACwX-O5l

From playlist Subtitled Films

Regularity Lemmas and Other Extremal Results - Guy Moshkovitz

Short talks by postdoctoral members Topic: Regularity Lemmas and Other Extremal Results Speaker: Guy Moshkovitz Affiliation: Member, School of Mathematics Date: Oct 1, 2018 For more video please visit http://video.ias.edu

From playlist Mathematics

Sigmoid functions for population growth and A.I.

Some elaborations on sigmoid functions. https://en.wikipedia.org/wiki/Sigmoid_function https://www.learnopencv.com/understanding-activation-functions-in-deep-learning/ 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 co

From playlist Analysis

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

NOTACON 9: Numbers, From Merely Big to Unimaginable (EN) | enh. audio

Still bad quality! Speaker: Brian Makin Have you every multiplied 2 by itself over and over to see how big it could get? Ever wonder about really big numbers? Starting from common "large" numbers like 2^56(DES) and 2^128(ipv6) through really big numbers such as the Ackermann numbers and

From playlist Notacon 9

Busy Beaver Turing Machines - Computerphile

The Busy Beaver game, pointless? Or a lesson in the problems of computability? - How do you decide if something can be computed or not? Professor Brailsford's code and further reading: http://bit.ly/busybeaver Turing Machine Primer: http://youtu.be/DILF8usqp7M Busy Beaver Code: http://

From playlist Alan Turing and Enigma

The Enormous TREE(3) - Numberphile

Professor Tony Padilla on the epic number, TREE(3). Continues at: https://youtu.be/IihcNa9YAPk More links & stuff in full description below ↓↓↓ Graham's Number: http://bit.ly/G_Number Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumbe

From playlist Tony Padilla on Numberphile

HTML IS a Programming Language (Imperative vs Declarative) - Computerphile

The professor took a lot of stick for calling HTML a programming language - here he shows why it can be described as a language, albeit a special purpose one. Where HTML beats C?: https://youtu.be/-csXdj4WVwA Most Difficult Program to Compute: https://youtu.be/i7sm9dzFtEI Cookie Stealing

From playlist Subtitled Films

Ex 1: Find the Inverse of a Function

This video provides two examples of how to determine the inverse function of a one-to-one function. A graph is used to verify the inverse function was found correctly. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com

From playlist Determining Inverse Functions