Question

When functions are said to be orthogonal, is that just a fancy way of saying that they're perpendicular?

Answer 1

I think orthogonal is more in depth as it is the property of vectors, functions etc.
Perpendicular only applies to geometry(?).

Answer 2

But if you apply perpendicular to geometry, I guess it's quite fancy saying orthogonal. :D

Answer 3

okay cool! thanks!

Answer 4

Two vectors x,y are orthogonal if the inner product space is 0.
\[\left \langle x,y \right \rangle=x*y=0\]
Perpendicular is a special case of orthogonality when
\[x,y\neq \varnothing\]

Answer 5

\(<x,y>\) means dot products?

Answer 6

product*

Answer 7

thanks for the explanation !

Answer 8

In the context of euclidian space, yes.

Answer 9

No problem! :)