[PD] bouncing

[marius schebella]

how would you call the angle/gradient that the equation has.
for example: f(x)=kx+b... if k=1, the line has a "gradient angle" of 45 
degrees if k=2 the angle is ~63. angle=arctan(k).
marius.


Mathieu Bouchard wrote:
> On Sat, 13 Oct 2007, marius schebella wrote:
> 
>> I haven't heard it before, but tried to translate it from german 
>> (steigungswinkel)
>> any line that is defined by f(x)=ax+b and where a!=0
> 
> That's called "linear" or "affine" equation.
> 
> In one terminology, "linear" is the general case, and "linear 
> homogeneous" when b=0.
> 
> In another terminology, "affine" is the general case, and "linear" is 
> when b=0.
> 
> But that's probably not all that you want to support: you want also to 
> support f(x)=b and the non-function case of a vertical line. The thing 
> is, functions of 1 variable to 1 variable are all that they teach people 
> in high-school, but if you want to compute things in which y and x are 
> considered of equal importance and not hierarchised, you have to stop 
> considering one as the function of the other. You could, for example, 
> use plain equations (not functions) for things that don't move, and 
> consider y,x to be functions of t for things that move.
> 
> However, I don't remember anything about MSD, so I can't help you with 
> that.
> 
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