(1) An algorithm known as the simplex method can be used to find these optimal strategies, but it will not be pursued here.

(2) One of the first applications of the simplex algorithm was to the determination of an adequate diet that was of least cost.

(3) The algorithm employs quite elementary arithmetic and is stated by the authors in just 13 lines.

(4) The following year he wrote on number theory, making a contribution to the theory of the Euclidean algorithm .

(5) A basic algorithm for division

(6) Another arithmetical result presented by Brahmagupta is his algorithm for computing square roots.

(7) Here there is no unfolding to a single planar component but the algorithm finds an unfolding with four planar components.

(8) This first step is here reduced to a simple algorithm suitable for computer use.

(9) He solved cubic equations by extending an algorithm for finding cube roots.

(10) It is possible to formulate this process algorithmically using graphs and therefore to automate the method.

(11) The appropriate degree of adjustment may be helped by nomograms or computer algorithms .

(12) Kleene's research was on the theory of algorithms and recursive functions.

(13) And if there can be no proper theory, then the bit string is called algorithmically random or irreducible.

(14) Having established the nature of equilibria, Smale began to think algorithms for their computation.

(15) All the algorithms to carry out arithmetical operations are presented in this way and no proofs are given.

(16) Joseph Culberson has a nice perspective on such theorems from an algorithmic point of view, and attempts to frame them in the context of complexity theory.

(17) Mathematicians can use similar algorithms to generate fractals and other forms.

(18) What they did develop was an algorithmic approach to solving problems which, in our terminology, would give rise to a quadratic equation.

(19) But image processing is probably algorithmically more difficult and probably also requires greater computer processing power.

(20) It has been known for about forty years that there is no algorithmic way of deciding whether a given collection of polygonal shapes will tile the plane, that is, the tiling problem is non-recursive.