Math Is Fun Forum

Plots:

2) x^2 hasn't inverse function because there exist two solutions of
x^2=y
x1=sqr(y)
x2=-sqr(y)

So inverse function must have 2 different values at point y.

To reduce this we need to use only positive x in the first function.

I presentiment katy will become bery good in Maths.

Yes, I can, but it's ugly:
a=bx^3+cx^2

I need to inprove my algoritm.

Length:21
MaxNumber:35
sq(32,21)={32, 4, 5, 11, 14, 2, 7, 9, 16, 20, 29, 35, 1, 3, 6, 10, 15, 21, 28, 8, 17}

A 36 long. Max=52(F**K IT!!!)
sq(19,36)={19, 6, 3, 1, 8, 17, 32, 4, 5, 11, 14, 2, 7, 9, 16, 20, 29, 35, 46, 18, 31, 33, 48, 52, 12, 13, 23, 26, 10, 15, 21, 28, 36, 45}

Then you have got much luck!

sq(3,24)={3, 1, 8, 17, 19, 6, 10, 15, 21, 4, 5, 11, 14, 2, 7, 9, 16, 20, 29, 35, 46, 18, 31, 33}
Length-24
#<50

For the 1b problem.
The parabloa is quadratic surve. So you're right.

Oh. I forgot!
sq(x,y) - x means the first number in the chain, y-the length of the chain.

Of course, but I thought that you are not permissed to calculate the discriminant.

And something else :
10>3^2 => discriminant is > 0.