In mathematics, the binary game is a topological game introduced by Stanislaw Ulam in 1935 in an addendum to problem 43 of the Scottish book as a variation of the Banach–Mazur game. In the binary game, one is given a fixed subset X of the set {0,1}N of all sequences of 0s and 1s. The players take it in turn to choose a digit 0 or 1, and the first player wins if the sequence they form lies in the set X. Another way to represent this game is to pick a subset of the interval on the real line, then the players alternatively choose binary digits . Player I wins the game if and only if the binary number , that is, . See, page 237. The binary game is sometimes called Ulam's game, but "Ulam's game" usually refers to the Rényi–Ulam game. (Wikipedia).
MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015
Binary 2 - Two's Complement Representation of Negative Numbers
This is the second in a series of computer science videos about the binary number system which is fundamental to the operation of a digital electronic computer. It covers the two's complement system of representing positive and negative integers in binary. It demonstrates how two's comple
From playlist Binary
Binary 3 – Fixed Point Binary Fractions
This is the third in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. It covers the representation of real numbers in binary using a fixed size, fixed point, register. It explains with examples how to convert both po
From playlist Binary
Binary 4 – Floating Point Binary Fractions 1
This is the fourth in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. In particular, this video covers the representation of real numbers using floating point binary notation. It begins with a description of standard
From playlist Binary
Binary 1 - Converting to and from Denary
This is the first in a series of computer science videos about the binary number system which is fundamental to the operation of a digital electronic computer. It covers the need for binary and details of how to convert positive whole numbers in base 10 into 8 bit binary, and vice versa.
From playlist GCSE Computer Science
Hi! In this video, I’ll teach you how to read a binary clock and talk about how technology uses binary. I learned a lot while researching for this video and had a ton of fun putting it together, so I hope you enjoy it! Thanks so much to Anelace for giving me permission to use the design o
From playlist Summer of Math Exposition Youtube Videos
Examples of Binary Operations (and Non-Examples) | Abstract Algebra
What are binary operations? A binary operation is a function from the cartesian product of a set with itself back to that same set. In other words, a binary operations takes two elements from the same set and assigns the ordered pair of them to exactly one element also in that set (since i
From playlist Abstract Algebra
1. Unsigned Binary Numbers - How to Convert From Unsigned Binary Numbers to Whole Numbers
This tutorial shows how to convert from an unsigned binary number to a whole number. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)
From playlist Binary Numbers
Associative Binary Operations and Examples Video
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Associative Binary Operations and Examples Video. This is video 2 on Binary Operations.
From playlist Abstract Algebra
AlterConf Berlin 2017: Are You a Boy or a Girl? Non-binary Representation in Games by Sai Timmermann
AlterConf Berlin 2017: Are You a Boy or a Girl? Non-binary Representation in Games by Sai Timmermann The best games have memorable, three-dimensional characters. As our understanding of gender expands, so should the variety of characters in our games. This talk explores 5 games that featu
From playlist AlterConf Seattle 2017
Problem From The Hardest Test - Use A Coin To Simulate Any Probability
How can you simulate any probability from a fair coin? What if you had an unfair coin? This is a great problem from the the Putnam Exam, which has legendary difficulty: the average (median) score is usually 1 out of a possible 120 points. No calculators allowed though, and you have to prov
From playlist Statistics And Probability
This Microcontroller Learns to Play Games Like a Human
The strategy for winning the Subtraction Game can be hardcoded in a computer opponent, but is there a way for the computer to discover the strategy by itself given only the rules for playing the game? Using a simplified reinforcement learning rule I demonstrate how machine learning can e
From playlist Summer of Math Exposition Youtube Videos
ShmooCon 2014: Introducing DARPA's Cyber Grand Challenge
For more information visit: http://bit.ly/shmooc14 To download the video visit: http://bit.ly/shmooc14_down Playlist Shmoocon 2014: http://bit.ly/shmooc14_pl Speaker: Mike Walker Could a purpose-built supercomputer play DEFCON capture the flag?
From playlist ShmooCon 2014
Arduino 8 Conway's Game of Life
Get the Code / Transcript : http://bit.ly/arduinotut8 Kit I'm Using : https://amzn.to/2Ngkuky https://www.patreon.com/derekbanas I tried to cover a ton in this tutorial. I'll show how to use LCD Panels with Arduino. I then live code Conway's Game of Life using an Arduino and a LCD Panel.
From playlist Arduino Tutorial
Polynomial Bounds on Parallel Repetition For All 3-Player Games with Binary Inputs - Kunal Mittal
Computer Science/Discrete Mathematics Seminar I Topic: Polynomial Bounds on Parallel Repetition For All 3-Player Games with Binary Inputs Speaker: Kunal Mittal Affiliation: Princeton University Date: May 09, 2022 Understanding the behavior of multi-player (multi-prover) games under paral
From playlist Mathematics
Ichess 8: Bouton's Solution of NIM
In this eighth video of the Impartial Chess series, we prove Bouton's Theorem and discuss it's relevance to the game of NIM.
From playlist Intro to Impartial Combinatorial Games and Their Theory
Unity Tutorial | How To Create Zombie Mobile VR Game In Unity3D | Session 05 | #unity3d | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a zombie mobile VR game in Unity3D. This project is for any beginner, intermediate or expert developer in ( VR )Virtual Reality. The project will cover everything that is required to build and test a complete Zom
From playlist Create Zombie Mobile VR Game In Unity3D
NIM is the modern name of an ancient game which features prominently in the classic movie "Last year at Marienbad". Follow the Mathologer and become an invincible NIM black belt by mastering the game's cute binary winning strategy. Link to our Mathematical Movie database mentioned in the
From playlist Recent videos
Hacking Livestream #42: Binary stuff with Ange Albertini
A special guest for the last livestream of the year. https://twitter.com/angealbertini https://github.com/corkami https://www.patreon.com/corkami Links from the stream: https://github.com/corkami/pics/tree/master/binary https://github.com/corkami/pics/blob/master/binary/pe102/pe102.pdf h
From playlist Gynvael's [EN] Live