Symbol in context

$\beta_{\mathrm{link}}$

This entry links every published equation using this exact notation. Its meaning may change between equations.

Meanings in context

Article-grounded definition

the per-link bandwidth.

T_{\mathrm{allreduce}} \approx 2\,(p-1)\,\alpha + 2\,\frac{p-1}{p}\cdot\frac{N}{\beta_{\mathrm{link}}},

This equation gives an approximation: it relates the quantities while allowing an approximation.

\beta_{\mathrm{link}}

the per-link bandwidth.

2N/\beta_{\mathrm{link}}

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.