Difference between revisions of "Graph, Wall, Tome"

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Eric talked about some of the important equations on the wall. There are 2 different recorded versions of the conversation if you want to listen to it.
Eric talked about some of the important equations on the wall. There are 2 different recorded versions of the conversation if you want to listen to it.
=== Expansion ===
Einstein's mass-energy equation:
: $$E = mc^2$$
'''Maxwell's equations (2):'''
: $$\nabla \times \mathbf{B} = \frac{1}{c} \frac{\partial \mathbf{E}}{\partial t}$$
: $$\nabla \times \mathbf{E} = -\frac{1}{c} \frac{\partial \mathbf{B}}{\partial t}$$
: $$\nabla \cdot \mathbf{B} = 0$$
: $$\nabla \cdot \mathbf{E} = 0$$
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:
: $$\sum\limits_{n=1}^{\infty} \frac{1}{n^{s}} =  \prod\limits_{p} \frac{1}{1 - \frac{1}{p^s}}$$
'''Klein-Goarden equation (4):''''
: $$\frac{1}{c^2} \frac{\partial^2}{\partial t^2} \psi - \nabla^2 \psi + \frac{m^2 c^2}{\hbar^2} \psi = 0$$
Kepler's 2nd law:
: $$\frac{d\theta}{dt} \propto \frac{1}{r^2}$$
Newton's force-acceleration equation:
: $$\mathbf{F} = m\mathbf{a}$$
Keplers 3rd law:
: $$T^2 \propto a^3$$
Newtons gravitational law:
: $$F = \frac{G m_1 m_2}{r^2}$$
''''Einstein's General Relativity equation (1):''''
: $$R_{\mu v}-\frac{1}{2}Rg_{\mu v} = 8 \pi T_{\mu v}$$
Schrodinger's equation:
: $$i \hbar \frac{\partial \psi}{\partial t} = - \frac{\hbar^2)}{2 m} \nabla^2 \psi + V \psi$$
'''Dirac equation (3)''':
: $$(i \not{D} - m)\psi = 0$$
Atiyah-Singer theorem:
: $$dim\, ker \not{D}_E - dim \, coker \not{D}_E = \int_M \hat{A}(M) \cdot ch(E)$$
'''Yang-Mills equations (2):''''
: $$d^*_A F_A \propto J$$
Defining relation of supersymmetry:
: $$\{Q,Q\} = P$$


== The Tome ==
== The Tome ==
Anonymous user

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