Pythagorean Theorem
a2+b2=c2
Quadratic Formula
x=2a−b±b2−4ac🔨
Einstein's Mass-Energy Equivalence
Integral of a Function
∫abf(x),dx=F(b)−F(a)
Differential Equation
dxdy=ky
Taylor Series Expansion
f(x)=f(a)+f′(a)(x−a)+2!f′′(a)(x−a)2+3!f′′′(a)(x−a)3+⋯
Circle Equation
x2+y2=r2
Logarithmic Identity
loga(b)=logc(a)logc(b)
Euler's Formula
eiθ=cos(θ)+isin(θ)
Probability of an Event
P(A)=Total number of outcomesNumber of favorable outcomes
f(x)=n=0∑∞n!f(n)(a)(x−a)n=f(a)+f′(a)(x−a)+2!f′′(a)(x−a)2+3!f′′′(a)(x−a)3+⋯