Greek Letters symbol

\eta LaTeX Symbol

\eta

The Greek letter eta (\eta) is used in various scientific and mathematical contexts. In physics, it often represents efficiency or viscosity. In mathematics, it can denote a metric or a function, such as the Dedekind eta function in number theory.

Examples

Represents efficiency in physics, such as the efficiency of an engine.

\eta = \frac{\text{useful output}}{\text{total input}}

Represents dynamic viscosity in fluid dynamics, where F is the force and A is the area.

\eta = \frac{F}{A}

The Dedekind eta function, a modular form in number theory.

\eta(\tau) = e^{\pi i \tau / 12} \prod_{n=1}^{\infty} (1 - e^{2 \pi i n \tau})

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