Information theory | Mathematical games

Ulam's game

Ulam's game, or the Rényi–Ulam game, is a mathematical game similar to the popular game of twenty questions. In Ulam's game, a player attempts to guess an unnamed object or number by asking yes–no questions of another, but one of the answers given may be a lie. Alfréd Rényi introduced the game in a 1961 paper, based on Hungary's Bar Kokhba game, but the paper was overlooked for many years. Stanislaw Ulam rediscovered the game, presenting the idea that there are a million objects and the answer to one question can be wrong, and considered the minimum number of questions required, and the strategy that should be adopted. gave a survey of similar games and their relation to information theory. (Wikipedia).

Video thumbnail

A variation on an Ulam Spiral: a Sacks Spiral

Simplicity making complexity. In one word: Emergence. Using the same process as my Ulam Spiral video, https://youtu.be/JjBnLz0SF3A but this time in a Sacks Spiral, https://youtu.be/iFuR97YcSLM?t=6m3s Enjoy. Animation made with FMS Logo.

From playlist Artsy things

Video thumbnail

Ulam's Game: Liar's Mathematics (#SoME2)

Ulam's game is an extension of the popular game 20 Questions, allowing the responding player to lie for one of their answers. Here we explore an intuitive approach to finding the optimal strategy for this new game. 0:00 Introduction 1:20 Defining the Problem 5:00 20 Questions 9:13 Ulam's

From playlist Summer of Math Exposition 2 videos

Video thumbnail

By Their Powers Combined: Sudoku and LSAT // Logic Games [#20] [LSAT Analytical Reasoning]

When I teach LSAT games, one of the ways I introduce them is that they are like sudoku puzzles if you had to build your own grid every time and didn't have enough information to solve the puzzle. So I was pretty delighted when I worked the closest-to-actual-sudoku LSAT game I've ever seen.

From playlist LSAT Games

Video thumbnail

Doodling in Math: Sick Number Games

I don't even know if this makes sense. Boo cold. Try playing with this: http://www.khanacademy.org/cs/pascals-triangle/803149756 http://en.wikipedia.org/wiki/Ulam_spiral My personal website, which you might like: http://vihart.com

From playlist Doodling in Math and more | Math for fun and glory | Khan Academy

Video thumbnail

Concept of a vector

This shows an small game that illustrates the concept of a vector. The clip is from the book "Immersive Linear Algebra" at http://www.immersivemath.com

From playlist Chapter 2 - Vectors

Video thumbnail

How I Use Simulink

This video I created to Simulink Student Challenge contest.

From playlist Simulink Student Challenge 2012 Entries

Video thumbnail

Coding a Spiral of Primes

Why do prime numbers show up as diagonals in a spiral? In this video, I create a visualization in JavaScript (p5.js) of the Ulam Spiral (aka Prime Spiral) named for Polish Mathematician Stanislav Ulan. https://thecodingtrain.com/CodingChallenges/167-prime-spiral.html p5.js Web Editor Sket

From playlist Recent uploads

Video thumbnail

“From Berkeley to Berlin” Part 3 – Tom Ramos

The Second Laboratory; Learn about the political climate following the Second World War that led to a decision among politicians that a second nuclear weapons laboratory was needed. 💻 LLNL News: https://www.llnl.gov/news 📲 Instagram: https://www.instagram.com/livermore_lab 🤳 Facebook: h

From playlist LLESA Author Series

Video thumbnail

Easiest Game of All Time? PrepTest 2 Game 1 // Logic Games [#05] [LSAT Analytical Reasoning]

This is the first game from the October 1991 LSAT, and it completely flouts are typical understanding of an LSAT game. Usually, you can think of an LSAT game like a sudoku puzzle on steroids, with not nearly enough givens to complete a scenario. The questions then fill out the possibilitie

From playlist LSAT Games

Video thumbnail

My main YouTube Channel @GCSEALevelMaths

Advert for my YouTube channel!!

From playlist Entry Level Mathematics

Video thumbnail

History of Science and Technology Q&A (October 20, 2021)

Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram/ Outline of Q&A 0:00 Stream starts 1:41 S

From playlist Stephen Wolfram Ask Me Anything About Science & Technology

Video thumbnail

Myself In a Gameboy Advanced Game

I've been teaching myself how to program my own game for the Game Boy Advance. Its been challenging but fun and I'm glad to see it running on the actual system. Thanks for watching. song by: 216V0 https://www.youtube.com/user/216V0/videos

From playlist 3D Programming

Video thumbnail

Dima Ryabogin - On Ulam's Problem 19 and related problems - IPAM at UCLA

Recorded 08 February 2022. Dima Ryabogin of Kent State University presents "On Ulam's Problem 19 and related problems" at IPAM's Calculus of Variations in Probability and Geometry Workshop. Abstract: We will discuss several uniqueness problems related to Ulam's Problem 19 from the Scottish

From playlist Workshop: Calculus of Variations in Probability and Geometry

Video thumbnail

Terrific Toothpick Patterns - Numberphile

Fun with toothpicks. Featuring Neil Sloane. More links & stuff in full description below ↓↓↓ Neil Sloane is the founder of the On-Line Encyclopedia of Integer Sequences: https://oeis.org Play with the toothpick simulator: http://oeis.org/A139250/a139250.anim.html The Toothpick Sequence

From playlist Neil Sloane on Numberphile

Video thumbnail

Topology is weird: The Ham Sandwich Theorem

Keep exploring at ► https://brilliant.org/TreforBazett. Get started for free, and hurry—the first 200 people get 20% off an annual premium subscription. Today we talk about my favourite math theorem: the Ham Sandwich theorem. Consider a sandwich with three components. Then the theorem cla

From playlist Cool Math Series

Video thumbnail

Science & Technology Q&A for Kids (and others) [Part 17]

Stephen Wolfram hosts a live and unscripted Ask Me Anything about science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram Outline of Question & Answer 0:00 Stream starting 1:12 Step

From playlist Stephen Wolfram Ask Me Anything About Science & Technology

Video thumbnail

IMT4307 Serious Games L5

IMT4307 Serious Games L5

From playlist Archive - Serious Games

Related pages

Information theory | Knights and Knaves