We consider the nonlinear functional discrete system x(n + 1) = G(n, x(s); 0 ≤ s ≤ n) def = G(n, x(·)) and obtain sufficient conditions for stability properties of the zero solution and for the boundedness of solutions.

Let V be a real linear space. The functor ConvexComb(V ) yielding a set is defined by: (Def. 1) For every set L holds L ∈ ConvexComb(V ) iff L is a convex combination of V . Let V be a real linear space and let M be a non empty subset of V . The functor ConvexComb(M) yielding a set is defined as follows: (Def. 2) For every set L holds L ∈ ConvexComb(M) iff L is a convex combination of M . We no...

We explore three results related to hardness of counting. Interestingly, at their core each of these results relies on a simple — yet powerful — technique due to Valiant and Vazirani. Does SAT become any easier if we are guaranteed that the formula we are given has at most one solution? Alternately, if we are guaranteed that a given boolean formula has a unique solution does it become any easie...

Introduction: Radiation therapy (RT) is the gold standard treatment for more than half of known tumors. There is increasing evidence that combining radiation therapy with a radiosensitizer can enhance the efficiency of this treatment modality. A radiosensitizer preferably enhances dose at the site of tumor and increases discrimination between tumor and normal surrounding tissue...

nloaded ticular germ cell tumors (TGCT) originate from germ cells. The 129-Ter and M19 (129.MOLF-Chr19 mic) mouse strains have extremely high incidences of TGCTs. We found that the expression levels of coded splicing factor 1 (SF1) can modulate the incidence of TGCTs. We generated mice with inactivated null mice (Sf1−/−) died before birth. Mice with one intact allele of Sf1 (Sf1+/−) were viable...

The inclusion of solvent in metal-organic framework (MOF) materials is a highly specific form of guest-host interaction. In this work, the energetics of solvent MOF-5 interactions has been investigated by solution calorimetry in 5 M sodium hydroxide (NaOH) at room temperature. Solution calorimetric measurement of enthalpy of formation (ΔH(f)) of Zn4O(C8H4O4)3·C3H7NO (MOF-5·DMF) and Zn4O(C8H4O4)...

In this paper, a numerical method for nding minimal solution of a mn fullyfuzzy linear system of the form Ax = b based on pseudo inverse calculation,is given when the central matrix of coecients is row full rank or column fullrank, and where A~ is a non-negative fuzzy mn matrix, the unknown vectorx is a vector consisting of n non-negative fuzzy numbers and the constant b isa vector consisting o...

OBJECTIVE Lecithin:cholesterol acyltransferase deficiency (LCAT-def) is characterized by low levels of high-density lipoprotein (HDL) and low-density lipoprotein (LDL) and the accumulation of lipoprotein-X (LpX). Despite the low HDL, atherosclerosis is uncommon in LCAT-def. The decreased LDL would be a possible explanation but the underlying mechanism is not clear. In addition, the mechanism(s)...

In this article, we investigate the problem of decentralized federated learning (DFL) in Internet Things (IoT) systems, where a number IoT clients train models collectively for common task without sharing their private training data absence central server. Most existing DFL schemes are composed two alternating steps, i.e., model updating and averaging. However, averaging parameters directly to ...