Difference between revisions of "Graph, Wall, Tome"

Jump to navigation Jump to search

Graph, Wall, Tome (view source)

Revision as of 22:08, 4 February 2020

1,472 bytes removed ,  22:08, 4 February 2020
→‎Key and Explanations
Line 103: Line 103:


<span class="highlight">[[Talk:Graph,_Wall,_Tome#EricRWeinstein_2020-02-02_at_1%3A31_PM | New suggestions from Eric]]</span>
<span class="highlight">[[Talk:Graph,_Wall,_Tome#EricRWeinstein_2020-02-02_at_1%3A31_PM | New suggestions from Eric]]</span>
'''1: Einstein's General Relativity equation:'''
: $$R_{\mu v}-\frac{1}{2}Rg_{\mu v} = 8 \pi T_{\mu v}$$
'''2: Maxwell's equations:'''
This formulation assumes no charge $$\rho=0$$ and $$J=0$$. One common example of these conditions is a vacuum.
: $$\nabla \times \mathbf{B} = +\frac{1}{c} \frac{\partial \mathbf{E}}{\partial t}$$
: $$\nabla \times \mathbf{E} = -\frac{1}{c} \frac{\partial \mathbf{B}}{\partial t}$$
: $$\nabla \cdot \mathbf{B} = 0$$
: $$\nabla \cdot \mathbf{E} = 0$$
'''2: Yang-Mills equations:'''
: $$d^*_A F_A \propto J$$
'''3: Dirac equation''':
: $$(i \not{D}_A - m)\psi = 0$$
'''4: Klein-Gordon equation:''' (this is not included in 'The Wall', but it has been suggested that perhaps it should have been)
: $$\frac{1}{c^2} \frac{\partial^2}{\partial t^2} \psi - \nabla^2 \psi + \frac{m^2 c^2}{\hbar^2} \psi = 0$$
Einstein's mass-energy equation:
: $$E = mc^2$$
Kepler's 2nd law:
: $$\frac{d\theta}{dt} \propto \frac{1}{r^2}$$
Newton's force-acceleration equation:
: $$\mathbf{F} = m\mathbf{a}$$
Kepler's 3rd law:
: $$T^2 \propto a^3$$
Newton's gravitational law:
: $$F = \frac{G m_1 m_2}{r^2}$$
Schrödinger's equation:
: $$i \hbar \frac{\partial \psi}{\partial t} = - \frac{\hbar^2}{2 m} \nabla^2 \psi + V \psi$$
Atiyah-Singer theorem:
: $$dim\, ker \not{D}_E - dim \, coker \not{D}_E = \int_M \hat{A}(M) \cdot ch(E)$$
Defining relation of supersymmetry:
: $$\{Q,Q\} = P$$
Stokes' theorem:
: $$\int_M d\omega = \int_{\partial M}\omega$$
The boundary of a boundary is zero:
: $$\partial\partial = 0$$
Heisenberg's indeterminacy relation:
: $$\Delta x \Delta p \geq \frac{\hbar}{2}$$
Euler's formula for Zeta-function:
: $$\sum\limits_{n=1}^{\infty} \frac{1}{n^{s}} =  \prod\limits_{p} \frac{1}{1 - \frac{1}{p^s}}$$




Line 195: Line 140:
*F. [[Euler's formula for Zeta-function]]
*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.
*G. Interaction between two string; [[Feynman diagram]] shows corresponding interaction of particles, here the Compton scattering of a photon off an electron.
==== Suggested additions to the wall: ====
'''4: Klein-Gordon equation:''' (this is not included in 'The Wall', but it has been suggested that perhaps it should have been)
: $$\frac{1}{c^2} \frac{\partial^2}{\partial t^2} \psi - \nabla^2 \psi + \frac{m^2 c^2}{\hbar^2} \psi = 0$$




Boqu
153

edits

Retrieved from ‘https://old.theportal.wiki/wiki/Special:MobileDiff/530’

Navigation menu