Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...

The pi formula, for instance, raises questions about the long-held but never proved assumption that pi’s digits are random. The results in quantum field theory involving Feynman diagrams suggest ...

This is a preview. Log in through your library . Abstract In a quadratic number field $\mathbf{Q}(\sqrt D), D$ a squarefree integer, with class number 1, any algebraic integer can be decomposed ...

SIAM Journal on Numerical Analysis, Vol. 11, No. 6 (Dec., 1974), pp. 1087-1104 (18 pages) A composite algorithm has been designed for finding zeros of real polynomials. The algorithm has proved to be ...