Symbols:Greek/Beta
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Beta
The $2$nd letter of the Greek alphabet.
- Minuscule: $\beta$
- Majuscule: $\Beta$
The $\LaTeX$ code for \(\beta\) is \beta .
The $\LaTeX$ code for \(\Beta\) is \Beta .
Beta Function
The Beta Function $\Beta: \C \times \C \to \C$ is defined for $\map \Re x, \map \Re y > 0$ as:
- $\ds \map \Beta {x, y} := \int_{\mathop \to 0}^{\mathop \to 1} t^{x - 1} \paren {1 - t}^{y - 1} \rd t$
The $\LaTeX$ code for \(\map \Beta {x, y}\) is \map \Beta {x, y} .
Linguistic Note
The Greek letter $\Beta$, $\beta$ (beta) is properly pronounced bee-ta, not the frequently-heard hypercorrection bay-ta.