TeXipedia

omega

Represents the last letter of the Greek alphabet, commonly used in mathematics and physics to denote angular frequency or ohms in electrical engineering.

Overview

A versatile lowercase Greek letter that appears extensively across scientific and mathematical notation:

  • Denotes angular frequency in physics and engineering (ω = 2πf)
  • Represents the ohm unit of electrical resistance in circuit diagrams
  • Used in probability theory for sample spaces
  • Common in differential equations and complex analysis
  • Appears in mathematical physics for angular quantities
  • Serves as a standard variable in optimization problems

Examples

Angular frequency in physics equations

f=ω2πf = \frac{\omega}{2\pi} 
f = \frac{\omega}{2\pi}

Last element in a sequence or set

{x1,x2,…,xω}\{x_1, x_2, \ldots, x_\omega\} 
\{x_1, x_2, \ldots, x_\omega\}

Sample space in probability theory

P(A∪B)=P(A)+P(B) for A,B⊂ωP(A \cup B) = P(A) + P(B) \text{ for } A,B \subset \omega 
P(A \cup B) = P(A) + P(B) \text{ for } A,B \subset \omega