Jan Flusser has written:

'Moments and moment invariants in pattern recognition' -- subject(s): Optical pattern recognition, Mathematics, Moment problems (Mathematics), Invariants

As many as humans have (up til the current moment) endeavored to name and describe...

But logically, infinite of course. They go on forever

Depends on which osculation you mean: kissing or mathematics

The word is a noun in both situations. You can have the moment or place of osculation, or in mathematics the plane or circle of osculation.

"The phone rang just before osculation could occur."

"Before he could find the plane of osculation, he needed to get the normal vector."

mathematics is math math is short for mathematics

Mathematics
"mathematics" is a plural noun already, the subject is Mathematics!