scispace - formally typeset
Search or ask a question
Topic

Divisor

About: Divisor is a research topic. Over the lifetime, 2462 publications have been published within this topic receiving 21394 citations. The topic is also known as: factor & submultiple.


Papers
More filters
Patent
10 Dec 2008
TL;DR: In this article, the authors proposed a programmable integer/fraction frequency divider (PIFD) consisting of a PIFD and a fraction fraction divisor, which can be set as at least a first and a second integer according to a switching signal.
Abstract: The invention provides a programmable integer/fraction frequency divider, comprising a programmable integer frequency divider and a programmable fraction frequency divider, wherein the divisor of the programmable integer frequency divider can be set as at least a first and a second integer according to a divisor switching signal The programmable fraction frequency divider computes the pulse number of the output signal of the programmable integer frequency divider, when the pulse number of the output signal is equal to an established pulse number, the divisor switching signal is generated to switch the divisor of the programmable integer frequency divider The established pulse number is determined by the fraction part of the divisor according to the programmable integer/fraction frequency divider The fraction frequency divider receives at least one fraction divisor to change the established pulse number, further changing the fraction part

4 citations

Patent
23 Jun 2015
TL;DR: In this paper, a binary fixed-point arithmetic processing circuit is used to carry out an operation of multiplicatively dividing a dividend by a divisor, which involves shifting the divisors by a specific number of bits.
Abstract: An arithmetic processing method is provided using a binary fixed-point arithmetic processing circuit to carry out an operation of multiplicatively dividing a dividend by a divisor. The method comprises shifting the divisor by a specific number of bits when the absolute value of the divisor is within a specific range, and holding the divisor without shifting the divisor when the absolute value of the divisor is out of the specific range, acquiring an initial value of approximation calculation for the divisor that is shifted or held without being shifted, calculating a reciprocal of the divisor by performing asymptotic approximation of the acquired initial value more than once, and calculating a product of the calculated reciprocal and the dividend, and shifting the calculated product by the specific number of bits when the divisor is shifted.

4 citations

Posted Content
TL;DR: It is proved that, for any odd prime p and any positive integers n and m, the indicators of the graphs of functions F and F' from Fpn to Fpm are CCZ-equivalent if and only if F andF′ are CC z-equivalence.
Abstract: A function F from Fpn to itself is planar if for any a ∈F ∗ pn the function F (x+ a)−F (x) is a permutation. CCZ-equivalence is the most general known equivalence relation of functions preserving planar property. This paper considers two possible extensions of CCZ-equivalence for functions over fields of odd characteristics, one proposed by Coulter and Henderson and the other by Budaghyan and Carlet. We show that the second one in fact coincides with CCZ-equivalence, while using the first one we generalize one of the known families of PN functions. In particular, we prove that, for any odd prime p and any positive integers n and m, the indicators of the graphs of functions F and F ′ from Fpn to Fpm are CCZ-equivalent if and only if F and F ′ are CCZ-equivalent. We also prove that, for any odd prime p, CCZ-equivalence of functions from Fpn to Fpm , is strictly more general than EA-equivalence when n ≥ 3 and m is greater or equal to the smallest positive divisor of n different from 1.

4 citations

Posted Content
TL;DR: In this paper, the authors investigated various cohomologies associated to a Riemann surface obtained by deleting a finite number of points, called cusps, from a compact Rieman surface.
Abstract: Let $S$ be a Riemann surface obtained by deleting a finite number of points, called cusps, from a compact Riemann surface. Let $\rho: \pi_1(S)\to Sl(n, \mathbb{C})$ be a semisimple linear representation of $\pi_1(S)$ which is unipotent near the cusps. We investigate various cohomologies associated to $\rho$ of $\bar S$ with degenerating coefficients $L_{\rho}$ (considered as a local system -- a flat vector bundle, a Higgs bundle, or a $\mathcal{D}$-module, depending on the context): the Cech cohomology of $j_*L_{\rho}$, the $L^2$-cohomology, the $L^2$-Dolbeault cohomology, and the $L^2$-Higgs cohomology, and the relationships between them. This paper is meant to be a part of the general program of studying cohomologies with degenerating coefficients on quasiprojective varieties and their Kahlerian generalizations. The general aim here is not restricted to the case of curves nor to the one of representations that are unipotent near the divisor. The purpose of this note therefore is to illuminate at this particular case where many of the (analytic and geometric) difficulties of the general case are not present what differences will appear when we consider unipotent harmonic bundles instead of Variations of Hodge Structures where the results are known.

4 citations

Patent
12 Mar 2003
TL;DR: A flow divisor (7) has bypasses (17,18), with rotary disk-shaped steering elements (12,13) respectively sealing the axial face of the corresponding bypass as discussed by the authors.
Abstract: A flow divisor (7) has by-passes (17,18), with rotary disk-shaped steering elements (12,13) respectively sealing the axial face of the corresponding by-pass.

4 citations


Network Information
Related Topics (5)
Conjecture
24.3K papers, 366K citations
93% related
Cohomology
21.5K papers, 389.8K citations
92% related
Holomorphic function
19.6K papers, 287.8K citations
91% related
Algebraic number
20.6K papers, 315.6K citations
90% related
Abelian group
30.1K papers, 409.4K citations
89% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20222
2021157
2020172
2019127
2018120
2017140