Math Examples
for (1)
(2)
Since 2 and 6 hold for arbitrary c -vectors, it is clear, that and that when one has ...
... the Pythagorians knew infinitely many solutions in integres to . That no non-trivial integer solutions exist for with integres has long been suspected (Fermat, c.1637). Only during the current decade has this been proved (Wiles, 1995).
(6)
Ukazka animace
> with(plots):
> with(plottools):
> f:=(x,y)->(x^2-y^2)/5-5;
> n:=40:
> a:=plot3d(
> f(x,y),
> x=-5..5,y=-5..5,
> style=PATCHNOGRID,
> shading=ZHUE
> ):
> c:=sphere([0,0,0],2):
> s:=NULL:
> for i to n do
> s:=s,display3d(
> [a,c],
> orientation=[70+(i-1)*720/n,80]
> )
> od:
> display3d([s],axes=NONE,scaling=CONSTRAINED,
> light=[45,45,1,1,1], insequence=true);
>