TeXipedia

upsilon

Represents the lowercase Greek letter used commonly in mathematics, physics, and engineering notation.

Overview

Serves as a versatile variable symbol in mathematical and scientific contexts, particularly in physics and engineering applications.

  • Frequently used to denote frequency in wave mechanics and oscillations
  • Common in quantum mechanics for wave functions
  • Appears in statistical mechanics and thermodynamics equations
  • Often represents velocity components or parameters in fluid dynamics

Examples

Using upsilon to represent a frequency variable in physics equations.

f(υ)=1υ2+1f(\upsilon) = \frac{1}{\upsilon^2 + 1} 
f(\upsilon) = \frac{1}{\upsilon^2 + 1}

Representing velocity components in fluid dynamics.

v⃗=(υx,υy,υz)\vec{v} = (\upsilon_x, \upsilon_y, \upsilon_z) 
\vec{v} = (\upsilon_x, \upsilon_y, \upsilon_z)

Denoting a statistical degree of freedom parameter.

tυ=xˉ−μ0s/nt_{\upsilon} = \frac{\bar{x} - \mu_0}{s/\sqrt{n}} 
t_{\upsilon} = \frac{\bar{x} - \mu_0}{s/\sqrt{n}}