Topic
Division (mathematics)
About: Division (mathematics) is a research topic. Over the lifetime, 12717 publications have been published within this topic receiving 87814 citations.
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01 Oct 2007
TL;DR: This paper presents and compares two division algorithms for an times86 microprocessor, which utilizes a rectangular multiplier that is optimized for multimedia applications and provides correctly rounded results for IEEE 754 single, double, and extended precision floating-point numbers.
Abstract: Floating-point division is an important operation in scientific computing and multimedia applications. This paper presents and compares two division algorithms for an times86 microprocessor, which utilizes a rectangular multiplier that is optimized for multimedia applications. The proposed division algorithms are based on Goldschmidt's division algorithm and provide correctly rounded results for IEEE 754 single, double, and extended precision floating-point numbers. Compared to a previous Goldschmidt division algorithm, the fastest proposed algorithm requires 25% to 37% fewer cycles, while utilizing a multiplier that is roughly 2.5 times smaller.
17 citations
Patent•
19 Jul 1935
TL;DR: In this article, the present invention, although having fields of more general usefulness, is particularly related to devices for converting or translating acoustic energy into electric energy and vice versa, from a more limited aspect, the invention relates to diaphragms.
Abstract: The present invention, although having fields of more general usefulness, is particularly related to devices for converting or translating acoustic energy into electric energy and vice versa. From a more limited aspect, the invention relates to diaphragms. The present application is a division...
17 citations
TL;DR: A generic algorithm that accounts for both symmetrically and asymmetrically dividing cells with isotropic and anisotropic growth modes and can produce different tissues varying in topological and geometrical properties is presented.
17 citations
TL;DR: In this paper, the question of whether D 1 ⊗ F D 2 is a domain where the D i are division algebras and F is an algebraically closed field contained in their centers was investigated.
17 citations