math

fundamental computations

Basic Arithmetic $$ a + b = b + a \ ab = ba $$ $$ (a + b) + c = a + (b + c) \ (ab)c = a(bc) $$ $$ a(b + c) = ab + ac $$

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

Geometry $$ a^2 + b^2 = c^2 $$ $$ A = \pi r^2 $$ $$ C = 2\pi r $$

Calculus $$ \int_a^b f(x) dx = F(b) - F(a) $$ $$ \frac{d}{dx} \int_a^x f(t) dt = f(x) $$

Physics $$ E = mc^2 $$ $$ F = ma $$

Quantum Mechanics $$ i\hbar \frac{\partial \psi}{\partial t} = \hat{H} \psi $$