C. Horvath, Measure of Non-compactness and Multivalued Mappings in Complete Metric Topo- logical Vector Space, J. Math. Anal. Appl. 108 (1985), 403-408.Horvath, C.: Measure of non–compactness and multivalued mappings in complete metric topological vector spaces. J. Math. Anal. Appl. ...
(C2,0) to construct complete families: after fixing the semi-local topological invariants we prove the existence of a minimal family of foliation germs that contains all the topological classes and such that any equisingular global family with parameter space an arbitrary complex manifold factorizes...
Kreps [28, Example 3] has documented other examples of a topological vector space admitting no continuous, strictly positive linear functional and in which, as a consequence, absence of arbitrage is a much weaker condition than admissibility, in line with the conclusions of Theorem 5.4 above. In...
Lazar et al.10 introduced Weinberg vectors11 and p vectors12 to describe the grain topology and investigated the topological difference between Poisson-Voronoi and grain growth microstructures. Another method is the Schlegel diagram description of grains. Recently, B.R. Patterson et al.13 use ...
Also we give some applications of this theorem, including the estimates on the lower and upper bounds on the volume growth and topological properties of λ-hypersurfaces. Then, we get some estimates on the exterior radius and the intrinsic diameter of the bounded λ-hypersurfaces. In the end, ...
These topological constraints, to which engineering-grade subdivision surfaces must adhere, pose challenges when generating a suitable control cage. Each MCAD vertex must be treated as a corner, i.e., it must be associated with a 2-valent control cage vertex (such as in Fig.5). The introduct...
check for cycle (needed for topological sort, since we'll check for cycle before starting) topological sort count connected components in a graph list strongly connected components check for bipartite graph You'll get more graph practice in Skiena's book (see Books section below) and the intervi...
check for cycle (needed for topological sort, since we'll check for cycle before starting) topological sort count connected components in a graph list strongly connected components check for bipartite graph You'll get more graph practice in Skiena's book (see Books section below) and the intervi...
In particular, each of the following is a complete Jordan ⁎-invariant of M: the Banach space structure of the self-adjoint part Msa of M ([4, Theorem 2]), the ordered vector space structure of Msa ([4, Corollary 5]) and the topological convex set structure of the normal state ...
Transformed gene expression space forms simplex Mutual linearity of cell-type specific genes suggests that the space of the mixed gene expression profiles might have a distinct underlying structure. Thus, we systematically investigated the topological properties of this gene expression space. A complete ...