User:Voltagedrop

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Q: what does the mathematical pirate say?

A:rrrrrrrr\ dr\ d\theta\ d \phi\ !


\left \langle \psi \right |

Ψ = Aψ s.t.
 A^2\int _{-\infty}^{\infty} {\psi ^* \psi} dx = 1
where ψ * is the complex conjugate of ψ

 2A + 3B +4{e^-}{\to} 5C + 6D


\frac{\partial L}{\partial \dot x} = \frac{d}{dt} \frac{\partial L}{\partial \ddot x}


eiπ − 1 = 0


 x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}


Gμν = − 8πGTμν


\gamma = \frac{1}{\sqrt{1-\beta^2}}

where \beta = \frac{v}{c}


\nabla \cdot \mathbf{D} = \rho

\nabla \cdot \mathbf{B} = 0

\nabla \times \mathbf{E} = - \frac{\partial\mathbf{B}}{\partial t}

\nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial\mathbf{B}}{\partial t}


H(t)\left | \Psi (t) \right\rangle = i \hbar \frac{\partial}{\partial t}\left | \Psi (t) \right\rangle


f(x) \sim  \frac{1}{2} a_0 + \sum_{n = 1}^\infty \Big ( a_n \cos \left ( nx \right )+ b_n \sin  \left ( nx \right ) \Big )

 a_n =  \frac{1}{\pi} \int_{-\pi}^{\pi} {f(t) \cos \left ( nt \right ) dt}

 b_n =  \frac{1}{\pi} \int_{-\pi}^{\pi} {f(t) \sin \left ( nt \right ) dt}