Omega
Represents a capital omega letter commonly used to denote electrical resistance in physics or the sample space in probability theory.
Overview
Serves as a versatile mathematical symbol with significant applications across multiple scientific disciplines:
- In physics and electrical engineering, denotes the unit of electrical resistance (ohms)
- In probability theory and statistics, represents the complete sample space of possible outcomes
- In computer science, often used to express algorithmic complexity bounds
- In mathematics, frequently appears in analysis to denote domains or sets
- In astronomy and cosmology, represents the density parameter of the universe
Examples
Defining a probability space in measure theory.
P: \Omega \to [0,1]Representing electrical resistance in Ohm's law.
R = 50\,\OmegaDenoting the universal set in set theory.
A \subseteq \Omega