Division (mathematics)

About: Division (mathematics) is a research topic. Over the lifetime, 12717 publications have been published within this topic receiving 87814 citations.

Upper and lower bounds of symmetric division deg index

Abstract: Symmetric division deg index is one of the 148 discrete Adriatic indices that showed good predictive properties on the testing sets provided by International Academy of Mathematical Chemistry.

System and method for compressing data in a communications environment

Abstract: A method for compressing data is provided that includes accumulating a plurality of bits associated with a communications flow and determining whether one or more of the bits correspond to a silence signal associated with a time division multiplexed (TDM) circuit that facilitates propagation of the flow. A predefined silence pattern may be communicated, in place of one or more of the bits, to a next destination when it is determined that one or more of the bits correspond to the silence signal.

Fast division using accurate quotient approximations to reduce the number of iterations

Abstract: A class of iterative integer division algorithms is presented based on lookup table Taylor-series approximations to the reciprocal. The algorithm iterates by using the reciprocal to find an approximate quotient and then subtracting the quotient multiplied by the divisor from the dividend to find a remaining dividend. Fast implementations can produce an average of either 14 or 27 b per iteration, depending on whether the basic or advanced version of this method is implemented. Detailed analyses are presented to support the claimed accuracy per iteration. Speed estimates using state-of-the-art ECL (emitted coupled logic) components show that this method is faster than the Newton-Raphson technique and can produce 53-b quotients of 53-b numbers in about 28 or 22 ns for the basic and advanced versions. >