Using a Computer to Derive Every* Possible Identity
Please check out the source of this video: https://www2.math.upenn.edu/~wilf/Aeq... An informal overview of how to use a computer to solve the problem of finding closed forms of hypergeometric identities. The video covers the motivation, hypergeometric series, telescoping series, Gosper's algorithm, and the Wilf-Zeilberger proof algorithm and certificates. Special thanks to Marko Petkovšek, the author of A=B, who personally helped in checking the video for technical accuracy. My Patreon: / zhulimath 00:00 Prerequisites 00:19 Introduction 03:27 Chapter 1: Hypergeometric Identities 06:36 Chapter 2: The Wilf-Zeilberger Pair 11:40 Chapter 3: Gosper's Algorithm 21:45 Chapter 4: Producing the Proof Certificate 23:08 Conclusion Music Credit: Gavin Luke / Delicate Transitions Jon E. Amber / Softly, Gently Peter Sandberg / Remove The Complexities Johannes Bornlöf / Hope Whispers Peter Sandberg / Dismantle Kikoru / Behind Those Eyes Clarence Reed / Never Say No courtesy of www.epidemicsound.com Related tags: WZ pair, WZ method, computer algebra systems
![[Revisited] Using a Computer to Derive Every* Possible Identity](https://i.ytimg.com/vi/rvTkN2wDdm0/hq720.jpg?sqp=-oaymwEbCNAFEJQDSFryq4qpAw0IARUAAIhCGAG4AvcY&rs=AOn4CLBe_mDGKQAwVc0kENq-i3UkWI2jMg&usqp=CCc)
[Revisited] Using a Computer to Derive Every* Possible Identity

The Dark Side of Pascal's Triangle #SoME4

Choosing From A Negative Number Of Things?? #SoME2

The Professor Who Taught People How To Think (1962)

Reinventing Entropy | Compression is Intelligence Part 1

What Happens If We Add Fractions Incorrectly? #SoME3

Counting in Imaginary (featuring Irrationals) #SoME3

Why AI Can Never Escape Turing's 1936 Proof

Lyapunov's Fractal (that Lyapunov knew nothing about) #SoME2

Numberphile's Square-Sum Problem was solved! #SoME2

The Pattern Nobody Can Prove (But Everyone Believes)

A visual guide to Bayesian thinking

The sequence that grows remarkably large, then drops to zero!

How To Multiply Dog × Tree?! A Dimensional Analysis Primer

How Euler Factored 4,294,967,297 (and Other Massive Numbers)

How to (not) reinvent percentages

What A General Diagonal Argument Looks Like (Category Theory)

In 2003 We Discovered a New Way to Generate Primes

The Tale of Three Triangles

