The existence of a densely knit core surrounded by a loosely connected periphery is a common macro-structural feature of social networks. Formally, the CorePeriphery problem is to partition the nodes of an undirected graph G = (V,E) such that a subset X ⊂ V , the core, induces a dense subgraph, and its complement V \X, the periphery, induces a sparse subgraph. Split graphs represent the ideal c...

Automated detection of masses on mammograms is challenged by the presence of dense breast parenchyma. The aim of this study was to investigate the feasibility of using wavelet-based feature analysis for differentiating masses, of varying sizes, from normal dense tissue on mammograms. The dataset analyzed consists of 166 regions of interest (ROIs) containing spiculated masses (60), circumscribed...

In dimension n=2 and 3, we show that for any initial datum belonging to a dense subset of the energy space, there exist infinitely many global-in-time admissible weak solutions isentropic Euler system whenever 1<γ⩽1+2n. This result can be regarded as compressible counterpart one obtained by Székelyhidi–Wiedemann (ARMA, 2012) incompressible flows. Similarly result, admissibility condition is def...

Hyperspectral image classification plays a crucial role in various remote sensing applications. However, existing methods often struggle with the challenge of unknown classes, leading to decreased accuracy and limited generalization. In this paper, we propose novel deep learning framework called IADMRN, which addresses issue class handling hyperspectral classification. IADMRN combines strengths...

For any ordered set P, the join dense completions of P form a complete lattice K(P) with least element O(P), the lattice of order ideals of P, and greatest element M(P), the Dedekind-MacNeille completion of P. The latticeK(P) is isomorphic to an ideal of the lattice of all closure operators on the lattice O(P). Thus it inherits some local structural properties which hold in the lattice of closu...

Animal pollinators are globally threatened by anthropogenic land use change and agricultural intensification. The yield of many food crops is therefore negatively impacted because they benefit from biotic pollination. This especially the case in tropics. For instance, fruit set Coffea arabica has been shown to increase 10–30% plantations with a high richness bee species, possibly influenced ava...

Denote by x a random innnite path in the graph of Pascal's triangle (left and right turns are selected independently with xed probabilities) and by d n (x) the binomial coeecient at the n'th level along the path x. Then for a dense G set of in the unit interval, fd n (x)g is almost surely dense but not uniformly distributed modulo 1.

Denote by x a random infinite path in the graph of Pascal’s triangle (left and right turns are selected independently with fixed probabilities) and by dn(x) the binomial coefficient at the n’th level along the path x. Then for a dense Gδ set of θ in the unit interval, {dn(x)θ} is almost surely dense but not uniformly distributed modulo 1.