# Notation for angle wrapping

billiards
Hi I am looking for the proper notation to represent angle wrapping in a mathematical function.

For example if I have a function of the form:

y=exp(θ)

(and θ is an angle in degrees.)

How do I write this function to explicitly assert that: -180 ≤ θ < 180 ?

So that for example if one had an angle of numerical value 190, then θ = -170.

Homework Helper
Gold Member
Dearly Missed
Take your number A, divide it by 360. If the new number's absolute value is less than or equal to 1/2, keep the number A. Otherwise, subtract 360 from A if it's positive, add 360 if A is negative. Then repeat process with division by 360.

billiards
Sure. To be clear though, I'm not looking for the numerical recipe. I'm looking for the notation. How would one write this in a formula?

i.e.

$y = exp(\theta)$

would be written like how, something like this??? :

$y = exp([\theta]^{180}_{-180})$ ?????