Bernoulli function (hypercube) (source code)

= Bernoulli function
{disambiguate=hypercube}
{c}
{title2=$\epsilon_i(\omega)=\omega_i$}

= Sign coordinate function
{synonym}

On the <Boolean hypercube> $\{-1,1\}^d$ with uniform measure, each coordinate is a <Rademacher random variable>. Products of these sign coordinate functions are <Walsh characters>. This use of Bernoulli function is distinct from the fluid-mechanical <Bernoulli function>.