Need Explaining !

[Nightmare_X]

Could someone explain to me what are the following things:

Transformation: Linear, Hermite, Bezier
Rotation: Linear, Hermite, Bezier
Scaling: Linear, Hermite, Bezier

What are InTan OutTan
I am really confused, are they connected with vertices, matrixes...etc ??? :!:

 

[Xlightscreen]

pretty much its all math equatations. and pretty much to hard to explain.