• Wheel of Congruence Classes of Integers Modulo n

    Updated: 2023-09-30 18:58:05
    12,000+ Interactive Demonstrations Powered by Notebook Technology TOPICS LATEST ABOUT AUTHORING AREA PARTICIPATE Your browser does not support JavaScript or it may be disabled Wheel of Congruence Classes of Integers Modulo n With respect to a relation an equivalence class has three properties . Take as an example the integers modulo 3 with respect to . congruence 1. Reflexivity : For example , modulo 3, 2. Symmetry : implies For example , modulo 3, and 3. Transitivity : and implies For example , modulo 3, and The equivalence classes of the integers modulo can be represented as segments of a wheel , with the congruence class of each of the integers shown . Given a positive integer each integer satisfies the formula where Here is the value of the equivalence class shown over-lined is the

  • Kids' Cryptography with a Key from a Propositional Puzzle

    Updated: 2023-09-30 18:58:05
    Wolfram Demonstrations Project 12,000+ Open Interactive Demonstrations Powered by Notebook Technology Topics Latest About Participate Authoring Area Kids' Cryptography with a Key from a Propositional Puzzle Initializing live version Download to Desktop Copying . Copy to Clipboard Source Open in Cloud Download to Desktop Copy Resource Object Fullscreen disabled Requires a Wolfram Notebook System Interact on desktop , mobile and cloud with the free Wolfram Player or other Wolfram Language products Do not show again Download Wolfram Player Solve a propositional puzzle with four knights and knaves to find a key to a cryptogram . Plain text is reconstructed using a symbolic language based on the Boolean . ring Contributed by : Izidor Hafner August 25 Open content licensed under CC BY-NC-SA

  • Decagon-to-Square Dissection

    Updated: 2023-09-30 18:58:05
    Wolfram Demonstrations Project 12,000+ Open Interactive Demonstrations Powered by Notebook Technology Topics Latest About Participate Authoring Area Decagon-to-Square Dissection Initializing live version s t e p 1 s t e p 2 s t e p 3 s t e p 4 o p a c i t y Download to Desktop Copying . Copy to Clipboard Source Open in Cloud Download to Desktop Copy Resource Object Fullscreen Requires a Wolfram Notebook System Interact on desktop , mobile and cloud with the free Wolfram Player or other Wolfram Language products Do not show again Download Wolfram Player This Demonstration shows Theobald's decagon-to-square . dissection Contributed by : Izidor Hafner June 2012 Open content licensed under CC BY-NC-SA Details Reference 1 G . N . Frederickson , Dissections : Plane Fancy New York : Cambridge

  • What Does Spec Z Look Like?

    Updated: 2023-09-14 15:38:11
    This week Laurent Fargues has started a series of lectures here at Columbia on Some new geometric structures in the Langlands program. Videos are available here, but unfortunately there is a problem with the camera in that room, making the … Continue reading →

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