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Division (mathematics)

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


Papers
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Patent
19 Apr 1999
TL;DR: In this paper, a method for secure distribution of data and/or programs, whereby the data that is to be transferred is provided with an electronic signature is checked in a location where the data and or programs are received by carrying out a modular multiplication requiring multiplication and division.
Abstract: The invention relates to a method for secure distribution of data and/or programs, whereby the data that is to be transferred is provided with an electronic signature. The electronic signature is checked in a location where the data and/or programs are received by carrying out a modular multiplication requiring multiplication and division. According to the invention, a modular multiplication according to Montgomery is carried out in order to check the signature in the location where the data and/or programs are received. Said multiplication also involves an additional multiplication with a base 2 factor and even-numbered exponents.

18 citations

Patent
18 Jun 1980
TL;DR: In this article, a device for dividing two sine signals out of phase with each other obtained from a detector in accordance with a position change and to enable a greater resolution and accuracy in the determination of displacement comprises a division circuit connected to the detector to provide an output representative of the ratio of the two sines signals, and conversion means for causing the output of the division circuit to correspond to a displacement.
Abstract: A device for dividing two sine signals out of phase with each other obtained from a detector in accordance with a position change and to enable a greater resolution and accuracy in the determination of displacement comprises a division circuit connected to the detector to provide an output representative of the ratio of the two sine signals, and conversion means for causing the output of the division circuit to correspond to a displacement.

18 citations

Patent
John Walter Lurtz1
08 Dec 1975
TL;DR: In this paper, a three-stage space-division switching system with high capacity and low blocking was proposed, where the communication paths through the individual network stages are completed in sequence and overlapped in time, and a path through each network stage is completed for a time less than or equal to a time slot but the time between establishing the first stage path and removing the last stage path is sufficient to pass an entire data word.
Abstract: A high-capacity, low-blocking time-division switching system including a three-stage space-division network is disclosed. In order to achieve high capacity and low blocking the space-division network is physically large resulting in delays of the Pulse Code Modulated (PCM) data words transmitted therethrough which are large in comparison to the individual time slots. In order to effectively increase the time available for the transmission of data words through the space-division network, communication paths through the individual network stages are completed in sequence and overlapped in time. The result of this operation is that a path through each network stage is completed for a time less than or equal to a time slot but the time between establishing the first stage path and removing the last stage path is sufficient to pass an entire data word.

18 citations

Journal ArticleDOI
TL;DR: A fast algorithm to calculate the shortest distances between rods in a tridimensional space is presented that makes use of the division of rods.

18 citations

Patent
14 Jul 1995
TL;DR: In this article, the problem of finding the optimum coding method depending on the property of an image by allowing a division means to divide an image in which coding object block with different size is in existence in the image.
Abstract: PROBLEM TO BE SOLVED: To attain coding employing the optimum coding method depending on the property of an image by allowing a division means to divide an image in which coding object block with different size is in existence in the image SOLUTION: The processing unit is provided with a CPU control section 1 coding and decoding image data through the software processing, an image input section 2, a printer section 3, a display section 4, a communication control section 5 that sends coded data by the CPU control section 1 or receives coded data sent from an external device and an image memory 6 Then image data stored in the image memory 6 are divided into the unit of 128×128 picture elements as a basic block and the data are sequentially extracted for each basic block Thus, the division method to a block in the case of coding finally the image data and the optimum coding method with respect to each block to be divided are tentatively decided In this case, the division of each block allows the presence of coding object blocks of different size in an image

18 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20242
2023739
20221,583
2021239
2020416
2019465