scispace - formally typeset
Search or ask a question
Topic

Division (mathematics)

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


Papers
More filters
Patent
09 May 2014
TL;DR: In this paper, the first and second division ratios are determined in such a manner that a frequency of the first clock that is frequency-divided at the first division ratio and an equal frequency of a second clock that are frequency-disjoint at the second division ratio are made equal to each other.
Abstract: A microcomputer includes a register that stores division ratio setting information, a frequency divider that determines first and second division ratios based on the division ratio setting information, frequency-divides a first clock having a first frequency at the first division ratio, and frequency-divides a second clock having a second frequency at the second division ratio, and a CPU. The first and second division ratios are determined in such a manner that a frequency of the first clock that is frequency-divided at the first division ratio and a frequency of the second clock that is frequency-divided at the second division ratio are made equal to each other.

20 citations

Patent
23 Aug 2011
TL;DR: In this paper, the authors present a method to divide an LED wiring board into various sizes to permit its use before and after the division, and also simplify operation of this division and simplify circuit design.
Abstract: It is an object of the present invention to permit division of an LED wiring board into various sizes to permit its use before and after the division, and also simplify operation of this division and simplify circuit design More specifically, in the present invention, wiring patterns (P4) and (P5) for energizing LEDs (21) are formed in a planar direction of the LED wiring board (2) Division grooves (2M) for dividing the LED wiring board 2 into a plurality of sub-boards are formed on the front surface of the LED wiring board (2) in a perpendicular direction and are provided in a manner such as to cross the wiring patterns (P4 and P5) in the planar direction Use with the entire board before the division by the division grooves (2M) is possible, and use with division elements divided along any of the division grooves 2M is also possible

20 citations

Journal ArticleDOI
Hozumi Hamada1
TL;DR: A new internal representation is proposed for real numbers that has been named URR for Universal Representation of Real Numbers, based on a bisection method which is applied to real number intervals.
Abstract: A new internal representation is proposed for real numbers that has been named URR for Universal Representation of Real Numbers. This approach is based on a bisection method which is applied to real number intervals. With this method, the point of division increases or decreases double-exponentially in global area.

20 citations

Journal ArticleDOI
TL;DR: A new two-step stage division method based on support vector data description (SVDD) is proposed in order to avoid the hard-division and misclassification problems of multistage batch processes.
Abstract: Inaccurate substage division problems often emerge when multiway principal component analysis is applied in fault monitoring of multistage batch processes. A new two-step stage division method based on support vector data description (SVDD) is proposed in order to avoid the hard-division and misclassification problems. The loading matrices of the MPCA model are modified using the idea of combining the mechanism knowledge with field data in the rough division step. The model differences are increased by introducing the sampling time to loading matrices, which can avoid division mistakes caused by the fault data. Detailed stage separation is realized here based on the SVDD hypersphere distance to divide the process strictly into steady or transition stages. Then a soft-transition sub-PCA model is given based on the hypersphere distance. The method is applied to monitoring a penicillin fermentation process online. Simulation results show that the proposed method can describe transition stage information in m...

20 citations

29 Aug 2016
TL;DR: In this paper, a reconstruction of Peters's table of trigonometric functions for the centesimal division and to six places (1938) is presented, and the reconstruction is shown to be correct.
Abstract: This document provides a reconstruction of Peters's table of trigonometric functions for the centesimal division and to six places (1938).

20 citations


Network Information
Related Topics (5)
Optimization problem
96.4K papers, 2.1M citations
81% related
Fuzzy logic
151.2K papers, 2.3M citations
81% related
Artificial neural network
207K papers, 4.5M citations
81% related
Nonlinear system
208.1K papers, 4M citations
81% related
Matrix (mathematics)
105.5K papers, 1.9M citations
80% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20242
2023739
20221,583
2021239
2020416
2019465