Group Theory

Kids' Cryptography with Key from Leonardo Groups

Updated: 2023-06-30 21:01:21

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 Kids' Cryptography with Key from Leonardo Groups Solve a Leonardo group puzzle to get a key . Plain text a word in a natural language must be read in a natural language and a cryptogram in symbolic language . The symbolic language is based on a Boolean . ring Part one of solution : find matching symmetry types to assign letters to . numbers Contributed by : Izidor Hafner SNAPSHOTS DETAILS References 1 Strømmen . 1000 Most Common Spanish Words-Frequency Vocabulary . quot May 30, 2023 strommeninc.com 1000-most-common-spanish-words-frequency-vocabulary 2 1000 Most Common Words . 1000 Most Common Esperanto Words . quot

Kids' Cryptography with a Key from a Wallpaper Group

Updated: 2023-06-30 21:01:21

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 Kids' Cryptography with a Key from a Wallpaper Group Solve a wallpaper group puzzle to find a key to a cryptogram . Plain text is a word in a natural language , while a cryptogram is in symbolic language . The symbolic language is based on a Boolean . ring Contributed by : Izidor Hafner SNAPSHOTS DETAILS Reference 1 E . Price . wordlist.10000. Jun 14, 2023 www.mit.edu ecprice wordlist.10000 RELATED LINKS A Grill for Secret Writing Wolfram Demonstrations Project Boolean Ring Cryptography Wolfram Demonstrations Project PERMANENT CITATION Izidor Hafner Kids' Cryptography with a Key from a Wallpaper Group http :

General Rational Cyclic Polygons

Updated: 2023-06-30 21:01:21

Wolfram Demonstrations Project 12,000+ Open Interactive Demonstrations Powered by Notebook Technology Topics Latest About Participate Authoring Area General Rational Cyclic Polygons 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 A general rational cyclic polygon is a cyclic polygon with a rational distance between any two . vertices more Let be rational numbers with Suppose three of the vertices have Cartesian coordinates Suppose is rational and set If then is a rational cyclic . polygon This Demonstration

Equation of the Form px^2+y^2=n

Updated: 2023-06-30 21:01:21

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 Equation of the Form px 2 y 2 n Let be seven arbitrary integers such that the first equation in the Details does not equal zero . Set and as given in the second and third equations in the . Details Then the second-degree Diophantine equation of the following form : follows For , example Contributed by : Minh Trinh Xuan THINGS TO TRY Slider Zoom Gamepad Controls Automatic Animation SNAPSHOTS DETAILS First equation Second equation Third equation RELATED LINKS Diophantine Equation—2nd Powers Wolfram MathWorld Pell Equation Wolfram MathWorld Diophantine Equation Wolfram MathWorld Number Magic with Squares Wolfram

Adjoint Brascamp-Lieb inequalities

Updated: 2023-06-30 07:11:23

Jon Bennett and I have just uploaded to the arXiv our paper “Adjoint Brascamp-Lieb inequalities“. In this paper, we observe that the family of multilinear inequalities known as the Brascamp-Lieb inequalities (or Holder-Brascamp-Lieb inequalities) admit an adjoint formulation, and explore the theory of these adjoint inequalities and some of their consequences. To motivate matters let […]

Sumsets and entropy revisited

Updated: 2023-06-27 20:45:39

Ben Green, Freddie Manners and I have just uploaded to the arXiv our preprint “Sumsets and entropy revisited“. This paper uses entropy methods to attack the Polynomial Freiman-Ruzsa (PFR) conjecture, which we study in the following two forms: Conjecture 1 (Weak PFR over ) Let be a finite non-empty set whose doubling constant is at […]