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Graph, Wall, Tome: Difference between revisions
→Expansion
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=== Expansion === | === Expansion === | ||
Einstein's | '''Einstein's General Relativity equation (1):''' | ||
: $$ | : $$R_{\mu v}-\frac{1}{2}Rg_{\mu v} = 8 \pi T_{\mu v}$$ | ||
'''Maxwell's equations (2):''' | '''Maxwell's equations (2):''' | ||
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: $$\nabla \cdot \mathbf{B} = 0$$ | : $$\nabla \cdot \mathbf{B} = 0$$ | ||
: $$\nabla \cdot \mathbf{E} = 0$$ | : $$\nabla \cdot \mathbf{E} = 0$$ | ||
'''Yang-Mills equations (2):''' | |||
: $$d^*_A F_A \propto J$$ | |||
'''Dirac equation (3)''': | |||
: $$(i \not{D} - m)\psi = 0$$ | |||
'''Klein-Gordon equation (4):'''' | |||
: $$\frac{1}{c^2} \frac{\partial^2}{\partial t^2} \psi - \nabla^2 \psi + \frac{m^2 c^2}{\hbar^2} \psi = 0$$ | |||
Einstein's mass-energy equation: | |||
: $$E = mc^2$$ | |||
Kepler's 2nd law: | Kepler's 2nd law: | ||
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Newtons gravitational law: | Newtons gravitational law: | ||
: $$F = \frac{G m_1 m_2}{r^2}$$ | : $$F = \frac{G m_1 m_2}{r^2}$$ | ||
Schrodinger's equation: | Schrodinger's equation: | ||
: $$i \hbar \frac{\partial \psi}{\partial t} = - \frac{\hbar^2)}{2 m} \nabla^2 \psi + V \psi$$ | : $$i \hbar \frac{\partial \psi}{\partial t} = - \frac{\hbar^2)}{2 m} \nabla^2 \psi + V \psi$$ | ||
Atiyah-Singer theorem: | Atiyah-Singer theorem: | ||
: $$dim\, ker \not{D}_E - dim \, coker \not{D}_E = \int_M \hat{A}(M) \cdot ch(E)$$ | : $$dim\, ker \not{D}_E - dim \, coker \not{D}_E = \int_M \hat{A}(M) \cdot ch(E)$$ | ||
Defining relation of supersymmetry: | Defining relation of supersymmetry: | ||
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Euler's formula for Zeta-function: | Euler's formula for Zeta-function: | ||
: $$\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}}$$ | ||
== The Tome == | == The Tome == | ||