Commit 2021-06-22 03:06 4416eacb
View on Github →feat(topology/instances/real): a continuous periodic function has compact range (and is hence bounded) (#7968) A few more facts about periodic functions, namely:
- If a function
f
isperiodic
with positive periodp
, then for allx
there existsy
such thaty
is an element of[0, p)
andf x = f y
- A continuous, periodic function has compact range
- A continuous, periodic function is bounded