Theta
Represents a capital Greek letter commonly used to denote angles, variables, or mathematical functions in formal notation.
Overview
Essential in mathematical and scientific writing, particularly for representing angular measurements, asymptotic behavior in computer science, and phase angles in physics and engineering.
- Frequently used in Big O notation to describe algorithm complexity bounds
- Common in trigonometry and geometry for angle measurements
- Appears regularly in physics equations for angular displacement and thermodynamics
- Used in probability theory and statistics for parameter estimation
Examples
Big-O notation upper and lower bounds using capital Theta.
f(n) = \Theta(n^2)Angle in trigonometric expression.
\sin(\Theta) = \frac{\text{opposite}}{\text{hypotenuse}}Rotation angle in coordinate transformation.
\begin{pmatrix} \cos\Theta & -\sin\Theta \\ \sin\Theta & \cos\Theta \end{pmatrix}