\beta

The Greek letter \beta is commonly used in mathematics and science to represent a variety of concepts, including coefficients, angles, and beta particles in physics. It is the second letter of the Greek alphabet and is often used in statistics to denote a type II error or the beta coefficient in regression analysis.

Examples

Linear regression equation where \beta_0 is the intercept and \beta_1 is the slope.

y = \beta_0 + \beta_1 x

Sigmoid function in logistic regression.

\beta = \frac{1}{1 + e^{-x}}

Beta plus decay in nuclear physics, where a proton is converted into a neutron.

\beta^+ \text{ decay}