The four sum-to-product identities are statements that explain how two trig functions can be summed or subtracted to form a product. Learn how to...
Learn about product-to-sum trigonometric identities. Discover how to express sine and cosine relationships as both the product and sum of...
Feng Xiaoxia, Yang Zhongpeng.The rank identities and its applications about the product and sum of three matrices on arbitrary division ring[C].Xu Changqing,Xu Guanghui,Zhang Juli.Proceedings of the third international workshop on matrix analysis and applications.Liverpool:World Academic Press,2009:...
“Jacobi-Sum Hecke Characters and Gauss-Sum Identities,” Compositio Mathematioa (to appear). Google Scholar Lichtenbaum, S. “Jacobi-Sum Hecke Characters of Imaginary Quadratie Fields,” (Preprint). Google Scholar Shimura, G. “On Some Arithmetic Properties of Modular Forms of One and ...
There are also other similar identities, for example, for the Euler's totient function φ(n)φ(n), one can notice that ∑d|nφ(d)=n.∑d|nφ(d)=n. This is due to the fact that φ(nd)φ(nd) is the number of integers xx such that gcd(x,nd)=1gcd(x,nd)=1, or, ...
Eight multiplications are necessary and sufficient for computing the product XY. If the ring is as... TD Howell,JC Lafon - Cornell University 被引量: 64发表: 1975年 Identities in algebras with involution One of the main features of the theory of polynomial identities is the existence (for ...
Generalized Worpitzky Identities with Applications to Permutation Enumeration The enumeration of permutations by inversions often leads to a q-analog of the usual generating function. In this paper, two generalizations of the Worpitz... Rawlings,Don - 《European Journal of Combinatorics》 被引量: 64...
identities corresponding to the specific proteins with which they shared highest similarity (Supplementary Table3). More than 20% of the proteins in each mucus matched proteins from other snails that have no reported function, referred to herein as “Snail” proteins, or appeared to be completely ...
Here we rather aim at presenting a short "user guide" to the LCSR applications to various exclusive decays of B -meson, mostly to their form factors, but also to other related hadronic quantities. We have made a selection of all—from our point of view—important and useful papers in ...
When the fitting procedure is applied to the total BSR, i.e., to the sum of the experimental data and the elastic contribution, the quality of the results deteriorates significantly. 1 Introduction The polarized Bjorken sum rule (BSR) p−n 1 ( Q 2) [1, 2] is an important spacelike...