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A variant form of the uppercase Greek letter Theta commonly used as a growth rate bound in complexity theory.

\varTheta image

Examples

Big-O notation with Theta complexity

\text{The algorithm runs in } \varTheta(n \log n) \text{ time}

Angle in spherical coordinates

r(\varTheta, \phi) = \sqrt{x^2 + y^2 + z^2}

Angular displacement in physics

\varTheta(t) = \varTheta_0 + \omega t + \frac{1}{2}\alpha t^2