Some Applications of Logic to Feasibility in Higher Types
... While it is commonly accepted that computability on a Turing machine in polynomial time represents a correct formalisation of the notion of a feasibly computable function, there is no similar agreement on how to extend this notion on functionals, i.e., what functionals should be considered feasible. ...
... While it is commonly accepted that computability on a Turing machine in polynomial time represents a correct formalisation of the notion of a feasibly computable function, there is no similar agreement on how to extend this notion on functionals, i.e., what functionals should be considered feasible. ...
TCSS 343: Large Integer Multiplication Suppose we want to multiply
... order to multiply two n-bit integers, we need to solve three instances of the problem of multiplying two (n/2)-bit integers and then spending cn time (for some constant c) to compose the results into the answer for the larger (n-bit) problem. The Master Theorem can be applied to determine what order ...
... order to multiply two n-bit integers, we need to solve three instances of the problem of multiplying two (n/2)-bit integers and then spending cn time (for some constant c) to compose the results into the answer for the larger (n-bit) problem. The Master Theorem can be applied to determine what order ...
Simplex algorithm
In mathematical optimization, Dantzig's simplex algorithm (or simplex method) is a popular algorithm for linear programming. The journal Computing in Science and Engineering listed it as one of the top 10 algorithms of the twentieth century.The name of the algorithm is derived from the concept of a simplex and was suggested by T. S. Motzkin. Simplices are not actually used in the method, but one interpretation of it is that it operates on simplicial cones, and these become proper simplices with an additional constraint. The simplicial cones in question are the corners (i.e., the neighborhoods of the vertices) of a geometric object called a polytope. The shape of this polytope is defined by the constraints applied to the objective function.