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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TL;DR: A procedure is presented for performing a combinatoric fixed-integer division that satisfies the division algorithm in regard to both quotient and remainder.
Abstract: A procedure is presented for performing a combinatoric fixed-integer division that satisfies the division algorithm in regard to both quotient and remainder. In this procedure, division is performed by multiplying the dividend by the reciprocal of the divisor. The reciprocal is, in all nontrivial cases, of necessity a repeating binary fraction, and two treatments for finding the product of an integer and repeating binary fraction are developed. Two examples of the application of the procedure are given.
22 citations
Patent•
08 May 2013
TL;DR: In this article, a self-correlation optical fiber communication system based on mode division multiplexing (MDM) is proposed. But the system is not suitable for wireless communication.
Abstract: The invention discloses a self-correlation optical fiber communication system based on mode division multiplexing. The self-correlation optical fiber communication system based on mode division multiplexing comprises an optical carrier input unit, optical signal modulation units, a wavelength division multiplexing unit, a mode division multiplexing and demultiplexing unit, a wavelength division multiplexing unit and coherent reception units. The mode division multiplexing and reconciliation multiplexing unit comprises a mode multiplexer and mode demultiplexer, and the mode multiplexer and the mode demultiplexer are connected through few-mode optical fibers. The optical carrier input unit is connected with each optical signal modulation unit, the wavelength division multiplexing unit and the mode multiplexer through single-mode optical fibers. The mode multiplexer is connected with the mode demultiplexer through few-mode optical fibers. The mode demultiplexer is connected with the wavelength division multiplexing unit and each coherent reception unit through single-mode optical fibers. The optical carrier input unit is further connected with the wavelength division multiplexing unit. The self-correlation optical fiber communication system based on mode division multiplexing eliminates an expensive narrow line width adjustable local oscillator light source which is arranged at a reception end, enables a laser to be conveniently managed and maintained, is free from using frequency offset estimation in a digital signal processor (DSP) and phase retrieval algorithm, reduces complexity of the DSP and has the advantages of being high in spectrum effectiveness and big in nonlinearity tolerance.
22 citations
22 citations
Patent•
27 Feb 1939
TL;DR: In this paper, the authors present an apparatus for circulating water in swimming pools, and more specifically to an improved inlet fitting through a hole in the wall of a swimming pool, which is a division of their prior application Serial No. 130,781, filed March 13th, 1937, now Patent No. 2,218,507, granted Oct. 22, 1940.
Abstract: This application is a division of my prior application Serial No. 130,781, filed March 13th, 1937, now Patent No. 2,218,507, granted Oct. 22, 1940. The present invention relates to an apparatus for circulating water in swimming pools, and more specifically to an improved inlet fitting through...
22 citations
22 citations