Quote:
Originally Posted by Batalov
Refrigerator can easily do 'Grmmmmmmmmmm' and not work actually.
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Of course! And quiet too on Peltier elements) This joke mainly about our understanding of life consciousness
Quote:
Originally Posted by Dr Sardonicus
Do you mean b^n - a?
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No. Talk was about
quadratric case; yes for higher orders.
Quote:
Originally Posted by RomanM
***
Take some integer u>sqrt(p), b=mod(u^2,p); a=mod(b^2,p)=mod(u^4,p);
[From (b-y)^2==0 mod p
b^2-2*b*y+y^2==0 mod p or a-2*b*y+y^2==0;
Solution: y=b-sqrt(b^2-a) (and y=b+sqrt(b^2-a), using first)
Make y an integer, and compute t= b-y =ceil(sqrt(b^2-a))]
***
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(b-y)^3=b^3-3*b^2*y+3*b*y^2-y^3
if b<sqrt(p) and b^3>p, a=mod(b^3,p)
one roots (of 3)
((-b)^3+a)^(1/3)+b
(b-y)^4
root
(b^4-a)^(1/4)+b
and so on.
Other roots also have importance