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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.


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Patent
Hideshi Murai1
06 Feb 1997
TL;DR: In this article, low-rate data D1-D4 and middle rate data D5 and D6 are time-division multiplexed independently according to their rates by a time division multiplexer TDM(A) (110) so that their rates are converted into the rate of high-rate high-frequency data D7 and D8 which are not passed through the Time Division Multiple Access (TDM) (A)(110), and then the entire data is converted into biorthogonal signals by BORTs (121, 122a-
Abstract: Low rate data D1-D4 and middle rate data D5 and D6 are time division multiplexed independently according to their rates by a time division multiplexer TDM(A) (110) so that their rates are converted into the rate of high rate data D7 and D8 which are not passed through the time division multiplexer TDM(A) (110). Subsequently, the entire data are converted into biorthogonal signals by biorthogonal signal generators BORTs (121, 122a-125a), and code division multiplexed by a code division multiplexer CDM(A) (130a). The code division multiplexed signal undergoes modulation by a spreading modulator (20) and a carrier modulator (30), and transmitted.

69 citations

Patent
31 Mar 2000
TL;DR: In this paper, a laser beam is cast on a groove lower part of a semiconductor wafer along a scribe line, and liquid nitrogen is immediately brought into contact with the entire wafer, and thermal impact is given.
Abstract: PROBLEM TO BE SOLVED: To enable easy division without requiring large pressure and improve yield by raising probability of division starting from a division groove. SOLUTION: A groove 5 for reducing the thickness is formed on the surface at a semiconductor layer formation side of a semiconductor wafer 1 and a scribe line 6 as a division groove is formed. After heating by casting a laser beam 21 on a groove lower part 8 only along a scribe line 6, liquid nitrogen 22 is immediately brought into contact with the entire semiconductor wafer 1, and thermal impact is given. Cracks are generated and proceed by the thermal impact starting from the bottom of the scribe line 6.

69 citations

Patent
25 Jun 1963
TL;DR: In this paper, a contact body for use in premoting mass and/or heat transfer between gases and liquids comprises a number of corrugated sheets of thin flexible material secured together at places where adjacent sheets touch each other and with the corrugations in alternate sheets oppositely inclined to the vertical as shown.
Abstract: 1,055,798. Contacting gases with liquids. C. G. MUNTERS. June 18, 1963 [June 27, 1962], No. 32411/66. Divided out of 1,055,796. Heading B1R. [Also in Division F4]. A contact body for use in premoting mass and/or heat transfer between gases and liquids comprises a number of corrugated sheets of thin. flexible material secured together at places where adjacent sheets touch each other and with the corrugations in alternate sheets oppositely inclined to the vertical as shown. The sheets may be made of paper.

69 citations

Patent
12 Feb 1949

68 citations

Journal ArticleDOI
TL;DR: A variable moving window-k nearest neighbor (VMW-kNN) based local modeling, irregular phase division, and monitoring strategy is proposed for uneven batch processes in the present paper.
Abstract: Multiphase characteristics and uneven-length batch duration have been two critical issues to be addressed for batch process monitoring. To handle these issues, a variable moving window-k nearest neighbor (VMW-kNN) based local modeling, irregular phase division, and monitoring strategy is proposed for uneven batch processes in the present paper. First, a pseudo time-slice is constructed for each sample by searching samples that are closely similar to the concerned sample in which the variable moving window (VMW) strategy is adopted to vary the searching range and the k nearest neighbor (kNN) rule is used to find the similar samples. Second, a novel automatic sequential phase division procedure is proposed by similarity evaluation for local models derived from pseudo time-slices to get different irregular phases and ensure their time sequence. Third, the affiliation of each new sample is real-time judged to determine the proper phase model and fault status can be distinguished from phase shift event. The pr...

68 citations


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