Add a note to function space inner product

cafour · cafour · commit 99f796922df2 · 2026-01-20T18:21:45.000+01:00
diff --git a/dszk/FA01_mathematical_background.ad b/dszk/FA01_mathematical_background.ad
@@ -91,7 +91,8 @@ Inner product (in function spaces)::
 ++++
 * Both products perform projection of one function into another.
 * Orthogonal has the same meaning as in vector spaces.
-* for stem:[\cos(x)] and stem:[\sin(x)], we use stem:[a = -\pi] and stem:[b = \pi].
+* For stem:[\cos(x)] and stem:[\sin(x)], we use stem:[a = -\pi] and stem:[b = \pi].
+* stem:[\sin] and stem:[\cos] are orthogonal to one another, but neither is "normalized".
 
 Expansion of discrete functions::
 +

Original file line number	Diff line number	Diff line change
`@@ -91,7 +91,8 @@ Inner product (in function spaces)::`
`91`	`91`	`++++`
`92`	`92`	`* Both products perform projection of one function into another.`
`93`	`93`	`* Orthogonal has the same meaning as in vector spaces.`
`94`		`-* for stem:[\cos(x)] and stem:[\sin(x)], we use stem:[a = -\pi] and stem:[b = \pi].`
	`94`	`+* For stem:[\cos(x)] and stem:[\sin(x)], we use stem:[a = -\pi] and stem:[b = \pi].`
	`95`	`+* stem:[\sin] and stem:[\cos] are orthogonal to one another, but neither is "normalized".`
`95`	`96`
`96`	`97`	`Expansion of discrete functions::`
`97`	`98`	`+`