Equation 10 · Part 1 · The Arrow of Time and the Engine of Evolution

Symbol P_mathrm F

P_{\mathrm F}(W)

P_{\mathrm F}

What this part means

$P_m$ athrm F is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

$P_m$ athrm F is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Full expressionSymbol P_mathrm FArticle meaning

The passage around this formula

Gavin Crooks sharpened this two years later into a statement about entire probability distributions rather than a single average. If $P_{\mathrm F}(W)$ is the distribution of work values measured over many repetitions of a forward protocol, and $P_{\mathrm R}(W)$ is the distribution measured over the time-reversed protocol run from its own correctly defined reverse-equilibrium starting ensemble, the two distributions are related by

Read this part in the article →

Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

See this notation across published equations →

Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.