Over the centuries, mathematicians have developed a variety of methods of solving equations. Using the capabilities of modern computers, they have explored in detail how these age-old recipes ...

Roots can occur in a parabola in 3 different ways as shown in the diagram below: In diagram A, we can see that this parabola has 2 roots, diagram B has 1 root and diagram C has no roots. What type of ...

This is a preview. Log in through your library . Abstract The general number field sieve (GNFS) is the most efficient algorithm known for factoring large integers. It consists of several stages, the ...

In this article we consider matrix factorizations of a polynomial where the two matrices appearing in the factorization are the same, which we call "matrix square roots." The main result is that any ...

“I am now elderly and have turned my efforts to other things – just a reading, in the original – of the very long (four volume) Turkish novel, Bir Ada Hikayesi,” mathematician Robert Langlands, now 87 ...