A Kaveh and B Alinejad. Laplacian matrices of product graphs: applications in structural mechanics. Acta mechanica, 222(3-4):331-350, 2011.A. Kaveh, B. Alinejad: Laplacian matrices of product graphs : Applications in struc- tural mechanics. Acta Mech. Sin., 222 (3-4) (2011), 331-...
{E}_{u\sim v}\left[\mathbb{I}_{(u, v) \text{ crosses the cut } (S, \bar{S})}\right]\\&= \frac{1}{2}\left[\text{frac. of edges on the boundary of $S$}\right]\\&= \text{Pr}_{u\sim v}\left[u\rightarrow v \text{ is stepping out of } S\right]\end{aligned...
aDanach trat er in die revolution. 它之后跨步入革命。[translate] aThis machine can produce a big volume of wind with the double-bubble genertor,can send large amount of colorful bubbles into air,instantly taking you into a warm and romantic atmosphere.Rcmote-control available. 这个机器生产风的...
Auchmuty, GilesRivas, M. A.Journal of Mathematical Analysis and ApplicationsG. Auchmuty and M.A. Rivas, Laplacian eigenproblems on product regions and tensor products of Sobolev spaces, J.Math. Analysis and Applications 435 (2016), pp. 842 - 859....
[11] PASŞCA, D.: Periodic solutions of a class of nonautonomous second order differential systems with (q, p)-Laplacian, Bull. Belg. Math. Soc. Simon Stevin 17 (2010), 841–850. Search in Google Scholar [12] PASŞCA, D.— TANG, CH.-L.: Some existence results on periodic solut...
aSeveral light tool marks, which may have occurred during product removal, were found. 数点燃工具标记,在产品撤除期间,也许发生了,被发现了。[translate] a本文通过对有限元分析的了解及对网格的进一步认识,了解网格发展背景以及当前国内的发展现状,对有限元网格未来的发展趋势的展望,掌握三角形网格的计算方法,了...
Given a compact Riemannian manifold (M,?g) and two positive functions \(ho \) and \(\sigma \), we are interested in the eigenvalues of the Dirichlet energy functional weighted by \(\sigma \), with respect to the \(L^2\) inner product weighted by \(ho \). Under some regularity co...
Existence and Uniqueness of Mass Conserving Solutions to Safronov-Dubovski Coagulation Equation for Product Kernel Both conservative and non-conservative truncated systems are used to analyse the infinite system of ODEs. In the conservative case, Helly's selection ... S Kaushik,R Kumar - arXiv e-...
The adjoint to ?i with respect to this T inner product is the transpose ?i or the coboundary map δi?1 : Ci?1 → Ci . De?ne ?i : Ci → Ci by ?i = δi?1 ?i + ?i+1 δi . The main result about combinatorial Laplacians is an analogue of a fact from Hodge theory, ...
The dif f erential operators obtained in this way are denoted by ∆ ande∆.In this paper, we show that the Lichn´ erowicz Laplacian ∆ L once operating on double forms, isnothing but the average of the two operators mentioned above. We introduce a new product ondouble forms to ...