Aethel Audio
Start free

Symbols · Relations

∝ Proportional to

Say it: “is proportional to”

What it means

One quantity is a constant multiple of another: double one and the other doubles. Bayesians write the posterior as proportional to the likelihood times the prior.

Read aloud in real formulas

Physics

F ∝ 1/r²

Aethel says

F is proportional to 1 over r squared

the force falls with the square of the distance

Statistics

p(θ | x) ∝ p(x | θ) p(θ)

Aethel says

p of theta given x is proportional to p of x given theta, times p of theta

posterior, likelihood and prior

Typing it

LaTeX
\propto
Unicode
U+221D

Formulas that use it

Questions

How do you say ∝ out loud?

It is usually read “is proportional to”.

What does ∝ mean in maths?

One quantity is a constant multiple of another: double one and the other doubles. Bayesians write the posterior as proportional to the likelihood times the prior.

How do you type ∝?

In LaTeX, write \propto. Its Unicode code point is U+221D.

Related symbols

Hear every symbol in context.

Aethel reads the notation in your textbooks and papers aloud as part of each sentence, and highlights what it is reading. Free to start: five books and an hour of narration.