\eta - LaTeX Symbol

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η

\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

η = \frac{useful output}{total input}

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

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

η = \frac{F}{A}

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

\eta = \frac{F}{A}

η (τ) = e^{πi τ /12} n = 1 \prod \infty (1 - e^{2 πin τ})

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})