Mathematical modeling | Numerical analysis | Cellular automata
The movable cellular automaton (MCA) method is a method in computational solid mechanics based on the discrete concept. It provides advantages both of classical cellular automaton and discrete element methods. One important advantage of the MCA method is that it permits direct simulation of material fracture, including damage generation, crack propagation, fragmentation, and mass mixing. It is difficult to simulate these processes by means of continuum mechanics methods (For example: finite element method, finite difference method, etc.), so some new concepts like peridynamics are required. Discrete element method is very effective to simulate granular materials, but mutual forces among movable cellular automata provides simulating solids behavior. As the cell size of the automaton approaches zero, MCA behavior approaches classical continuum mechanics methods. The MCA method was developed in the group of S.G. Psakhie (Wikipedia).
7.1: Cellular Automata - The Nature of Code
This video introduces the concepts and algorithms behind Cellular Automata. (If I reference a link or project and it's not included in this description, please let me know!) Read along: http://natureofcode.com/book/chapter-7-cellular-automata/ http://en.wikipedia.org/wiki/Cellular_autom
From playlist The Nature of Code: Simulating Natural Systems
Cellular Automata are a fantastic demonstration of how a simple set of rules can elicit a complex emergent behaviour. In this video I show John Conway's Game Of Life implemented in quick and simple C++ at the command line. Github: https://github.com/OneLoneCoder/Javidx9/blob/master/Consol
From playlist Interesting Programming
Frank Buss' Hexagonal Cellular Automaton
Frank Buss' Hex Cellular Automaton, initialized with a glider gun and a rake. http://www.frank-buss.de/automaton/hexautomaton.html Generated with Ready: http://code.google.com/p/reaction-diffusion/
From playlist Ready
Coding Wireworld Cellular Automaton in C++/SFML
Hello everybody! This time, I will be creating Wire World, which is little bit different than some of the other cellular automatons i have made, but still quite cool none the less :) Hope you enjoy! ========= DOWNLOAD: https://github.com/Hopson97/CellularAutomaton/releases/ SOURCE CODE:
From playlist Creating Cellular Automaton
Coding "Conway's Game of Life" Cellular Automaton in C++/ SFML
Coways Game of life is a very famous cellula automaton, created by John Conway. In this video, I implement it in C++ and SFML. ========= DOWNLOAD: https://github.com/Hopson97/CellularAutomaton/releases/tag/v1.1 SOURCE CODE: https://github.com/Hopson97/CellularAutomaton ========= RESOUR
From playlist Creating Cellular Automaton
Coding "Empire" Cellular Automaton in C++/SFML
This is a cellular automaton that I came up with. YouTube compression kinda ruins it, so I highly recommended you watch in highest quality you can, and also download the project to see it for yourself :) Source: https://github.com/Hopson97/Empire Download: https://drive.google.com/open?i
From playlist Creating Cellular Automaton
What We've Learned from NKS Chapter 11: The Notion of Computation
In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th
From playlist Science and Research Livestreams
2 Construction of a Matrix-YouTube sharing.mov
This video shows you how a matrix is constructed from a set of linear equations. It helps you understand where the various elements in a matrix comes from.
From playlist Linear Algebra
What We've Learned from NKS Chapter 6: Starting from Randomness
In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th
From playlist Science and Research Livestreams
Coding "Predator And Prey" Cellular Automaton in C++/ SFML
Thanks "Nimmy" from my discord server for the idea! Wanted to try something a bit different for a change, and here it is: A cellular automaton. ========= DOWNLOAD: https://github.com/Hopson97/CellularAutomaton/releases/ SOURCE CODE: https://github.com/Hopson97/CellularAutomaton =======
From playlist Creating Cellular Automaton
The Curtis-Hedlund-Lyndon Theorem | Nathan Dalaklis | math academic talks
This is the second seminar talk that I have given as a math phd student. It is an expository academic talk that I gave as a Math PhD student during my second semester of my second year in my PhD program. The talk concerns the Factors of Symbolic Dynamical Systems and is focused on the Curt
From playlist Academic Talks
What We've Learned from NKS Chapter 3: The World of Simple Programs
In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th
From playlist Science and Research Livestreams
What We've Learned from NKS Chapter 2: The Crucial Experiment
In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th
From playlist Science and Research Livestreams
Ville Salo: Nilpotent endomorphisms of expansive group actions
We say a pointed dynamical system is asymptotically nilpotent if every point tends to zero. We study group actions whose endomorphism actions are nilrigid, meaning that for all asymptotically nilpotent endomorphisms the convergence to zero is uniform. We show that this happens for a large
From playlist Dynamical Systems and Ordinary Differential Equations
Searching for a 3D Cellular Automaton - Live from the Wolfram Summer School
Stephen goes on a hunt in the computational universe for interesting cellular automata live at the Wolfram Summer School. For upcoming live streams by Stephen Wolfram, please visit: http://www.stephenwolfram.com/livestreams/
From playlist Stephen Wolfram Livestreams
What We've Learned from NKS Chapter 10: Processes of Perception and Analysis
In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th
From playlist Science and Research Livestreams
This sleek bionic hand improves over time
This smart bionic hand learns and gets better the more you use it. 🤓 🎥 @Esper Bionics #engineering
From playlist Radical Innovations