Difference between revisions of "Graph, Wall, Tome"

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Euler's formula for Zeta-function:
Euler's formula for Zeta-function:
: $$\sum\limits_{n=1}^{\infty} \frac{1}{n^{s}} =  \prod\limits_{p} \frac{1}{1 - \frac{1}{p^s}}$$
: $$\sum\limits_{n=1}^{\infty} \frac{1}{n^{s}} =  \prod\limits_{p} \frac{1}{1 - \frac{1}{p^s}}$$
*I.  Jones polynomial for right trefoil knot; Witten’s path-integral formulation for Jones polynomial using Chern-Simons action
*II.  Associativity equation in Quantum Field Theory
*III. Yang-Baxter equation
*IV.  Lorenz Attractor: Lorenz equations with orbit
*V.  Diagram of a black hole with Schwarzschild radius
*VI.  The five regular polyhedra
*VII. Equiangular spiral drawn in "golden" rectangle (side ratio = golden mean g), ratio of consecutive Fibonacci numbers approaches g, represented by is continued fraction expansion.
*VIII.Babylonian computation of sqrt2
*IX.  Visual proof of the Pythagorean Theorem
*X.  Cell decomposition of torus; Euler characteristic; Gauss-Bonnet formula.
*XI.  Archimedes: volume of Sphere.
*XII. Aharanov-Bohm effect
*XIII.Supergravity Langangian; root diagramm for Lie group E8
*XIV. Navier-Stokes equation with flow around cylinder.
*1.  Kepler's 2nd law.
*2.  Newton's force-acceleration equation.
*3.  Kepler's 3rd law
*4    Newton's gravitational law
*5    Einstein's General Relativity equation
*6    Schrödinger's equation
*7.  Dirac equation
*8.  Atiyah-Singer Theorem.
*9.  Yang-Mills Equations
*10.  Defining relation of Supersymmetry
*A. Einstein’s mass-energy equation
*B. Maxwell's Equations
*C. Stoke's Theorem
*D. The boundary of a boundary is zero
*E. Heisenberg's indeterminacy relation.
*F. Euler's formula for Zeta-function.
*G. Interaction between two string; Feynman diagram shows corresponding interaction of particles, here the Compton scattering of a photon off an electron.




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