We introduce a cut-balance condition for continuous time consensus seeking systems, which generalizes weak forms of symmetry and of average preservation. We show that, if a system satisfies the cut balance condition, it always converges to a set of clusters, and we characterize the clusters in terms of the graph describing the infinite interactions between the agents. We consider continuous-tim...

In the definition of the graph parameters μ(G) and ν(G), introduced by Colin de Verdière, and in the definition of the graph parameter ξ(G), introduced by Barioli, Fallat, and Hogben, a transversality condition is used, called the Strong Arnol’d Hypothesis. In this paper, we define the Strong Arnol’d Hypothesis for linear subspaces L ⊆ R with respect to a graph G = (V,E), with V = {1, 2, . . . ...

In this paper, we study and analyze absolute and relative condition numbers of the spectral projections for regular periodic eigenproblems. The main contribution is to derive explicit expressions of the condition numbers of the j-th left and right spectral projections. Numerical examples are given to illustrate the proposed condition numbers for the spectral projections associated with periodic...

The present work aims at optimizing the geometry of curved trapezoidal winglets to enhance heat transfer rates (expressed as Colburn factor, j) and minimize pressure losses friction f). A fin-and-tube exchanger was analyzed with mounted on alternate tube either side fins. Multi-objective optimization performed using genetic algorithm (GA) maximize j f. Two surrogate models, viz. response surfac...

In this paper, we use the notion of Jacobi-type vector fields introduced in [5] to obtain a necessary and sufficient condition for a Kaehler manifold to be isometric to the complex space form (Cn, J, 〈, 〉), where J is the complex structure and 〈, 〉 is the Euclidean metric on Cn. Mathematics Subject Classification: 53C20, 53B21

in this work, homogeneous thermochemical co-precipitation method was used to fabricate w-25wt%cu nanocomposite. synthesized nanocomposite powder was calcined and reduced. a hydrogen atmosphere sintering at 1200oc for 105 consolidated the product up to a density close to 98% theoretical density. wear experiment were carried out using a pin-ondisc set up at three normal loads of 5, 10 and 15 n an...

In this paper we investigate the existence of solutions for a system consisting two inequalities variational type. Each inequality is formulated in terms nonlinear bifunction $\chi$ and $\psi$, respectively coupling functional $B$. We consider sets assumptions ${\bf (H_\chi^i)}$, (H_\psi^j)}$ (H_B^k)}$, $i,j,k\in\{1,2\}$ show that, if constraints are bounded, then solution exists regardless ass...

Let n E Z+ and let K be a field. Let ~ be a partial order on {1, 2, ... , n}. Let An(:::;) be the matrix incidence algebra consisting of those n x n matrices A = (ai,j) with entries in K, satisfying ai,j 0 whenever i 1:. j. For a subset £ ~ An (::5), a necessary and sufficient condition that the algebra generated by £ u {I} is An(::5) is that (i) for every 1 :::; i, j :::; n with i =1= j, there...

Given a set of propositions with unknown truth values, a ‘judgement aggregation rule’ is a way to aggregate the personal truth-valuations of a set of jurors into some ‘collective’ truth valuation. We introduce the class of ‘quasimajoritarian’ judgement aggregation rules, which includes majority vote, but also includes some rules which use different weighted voting schemes to decide the truth of...