Beautiful Mathematics

Mathematical Optimization
Mathematical Optimization Google Query
Damodaran Econ NYU
Fine-Structure Constant
Hellmann-Feynman Theorem
Semiparametric and Nonparametric Methods in Econometrics
Volatility

Markovian Chain





















Lorenz System 















Optimal Control
Mathematical Symbols







 function(i){
    var i, x, y, z
    for (var i = Things.length - 1; i >= 0; i--) {
        Things[i]
    }
    {
    function(Things){
    return(x(y))
    var x, y, z;
    (function(x[y])) {
    if (x=0, y=(x+z(x)), z=1) {
    return x([y]);
    }
}}

Euclidean Space:
Banach Space
Hilbert Space
Black Scholes 
Fine Structure Constant 
Baye's Theorem 
Dynamical System
Euclidean Geometry
Emergent Properties, Chaos De-Synchronization 
Baum-Welch Algorithm
Probability Theory
Purple Math
Mathematical Keyboard Shortcuts

Game Theory:
John Forbes Nash Jr.

Professor of Mathematics, Chaos Theory & Computation:
Ralph Abraham

Fractal Visualizations of Audio

Foresight Institute

https://www.youtube.com/watch?v=qtaAM84Kt2I

Conway's Game of Life: If your smart enough to solve it, and be a master of the universe like Steven Hawking, you will want to kill yourself:




Image of nano






Platonic Solids: Can offer models for crystals patterns that occur naturally in nature's minerals.


The Honeycomb Conjecture states that hexagonal tiling make the optimum use of a two-dimensional space. Pyramids are able to hold great weight because they distribute it out the base. 

Each of these Archimedean solids is composed of two or more different regular polygons:



Dodecahedron where each side has a pentagonal pyramid extending from it:



Torids:




Beautiful Geometry:



Fractals:



Fractal patterns in semiconductors:





Fibonacci Sequence: 
a simple recurrence relation occurring in nature. It is 0,1,1,2,3,5,8,13,21,34,55,89, 144… each number equals the sum of the two numbers before it, and the difference of the two numbers succeeding it. It is an infinite sequence which goes on forever as it develops.

The Golden Ratio:



Conway's Game of Life

From Wikipedia, the free encyclopedia
"Game of Life" redirects here. For other uses, see Game of Life (disambiguation).
"Conway game" redirects here. For Conway's surreal number game theory, see surreal number.

A single Gosper's Glider Gun creating "gliders"

A screenshot of a puffer-type breeder (red) that leaves glider guns (green) in its wake, which in turn create gliders (blue). (animation)
The Game of Life, also known simply as Life, is a cellular automaton devised by the British mathematicianJohn Horton Conway in 1970.[1]
The "game" is a zero-player game, meaning that its evolution is determined by its initial state, requiring no further input. One interacts with the Game of Life by creating an initial configuration and observing how it evolves, or, for advanced "players", by creating patterns with particular properties.

Murrey Math:













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