Help:Formulas

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

The quadratic formula: ${\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}}$

The Pythagorean theorem: ${\displaystyle a^{2}+b^{2}=c^{2}}$

Einstein's famous equation of mass-energy equivalence: ${\displaystyle E=mc^{2}}$

The Navier-Stokes equation for fluid dynamics: ${\displaystyle {\frac {\partial \mathbf {u} }{\partial t}}+(\mathbf {u} \cdot \nabla )\mathbf {u} =-{\frac {1}{\rho }}\nabla p+\nu \nabla ^{2}\mathbf {u} }$

The Schrödinger equation for quantum mechanics: ${\displaystyle i\hbar {\frac {\partial \psi }{\partial t}}={\hat {H}}\psi }$

Maxwell's equations for electromagnetism: {\displaystyle {\begin{aligned}\nabla \cdot \mathbf {E} &={\frac {\rho }{\epsilon _{0}}}\\\nabla \cdot \mathbf {B} &=0\\\nabla \times \mathbf {E} &=-{\frac {\partial \mathbf {B} }{\partial t}}\\\nabla \times \mathbf {B} &=\mu _{0}\mathbf {J} +\mu _{0}\epsilon _{0}{\frac {\partial \mathbf {E} }{\partial t}}\end{aligned}}}