For positive integers and , consider a multiset of nonempty subsets such that there is unique partition these into partitions . We study the maximum possible size multiset. focus on regime show When for any this lower bound simplifies to we matching upper optimal up factor also compute exactly when

In this paper, a method for through-wall human detection based on the singular values decomposition of the measurement matrices is presented. After demonstrating the sparsity of the matrices using CLEAN algorithm, an SVD algorithm based on Lanczos process is applied to compute their singular values. We also analyze the singular values of matrices constructed by difference square techniques for ...

In this work, we propose a novel Knowledge Graph Embedding (KGE) strategy, called M\"{o}biusE, in which the entities and relations are embedded to surface of M\"{o}bius ring. The proposition such strategy is inspired by classic TorusE, addition two arbitrary elements subject modulus operation. sense, TorusE naturally guarantees critical boundedness embedding vectors KGE. However, nonlinear prop...

This paper proposes an investigation of propagation behaviour of Ultra–Wide Bandwidth (UWB) signals in outdoor environments. Specifically, we first report on the results of an extensive measurement campaign that we have carried out in three selected scenarios, namely “forest”, “hilly” and “sub– urban” environments. Then, we present the statistical model that we have derived after post–processin...

The elements carbon and boron uniquely form extensive series of compounds with hydrogen; hydrocarbons and boron hydrides. In comparison to carbon, which forms various chainor ring-like structures, boron, an electron deficient element, forms quasi-aromatic clusters architecturally derivable from a twelve-vertex icosahedral unit. Herein, we focus on a comparison of hydrocarbon and boron hydride b...