This paper proves the strong converse for any discrete memoryless network (DMN) with tight cut-set bound, i.e., whose cut-set bound is achievable. Our result implies that for any DMN with tight cut-set bound and any fixed rate tuple that resides outside the capacity region, the average error probabilities of any sequence of length-n codes operated at the rate tuple must tend to 1 as n grows. Th...

Two main lines have been adopted to prove the cut elimination theorem: the syntactic one, that studies the process of reducing cuts, and the semantic one, that consists in interpreting a sequent in some algebra and extracting from this interpretation a cut-free proof of this very sequent. A link between those two methods was exhibited by studying in a semantic way, syntactical tools that allow ...

Abstract. In this paper, connected domination in fuzzy graphs using strong arcs is introduced. The strong connected domination number of different classes of fuzzy graphs is obtained. An upper bound for the strong connected domination number of fuzzy graphs is obtained. Strong connected domination in fuzzy trees is studied. It is established that the set of fuzzy cut nodes of a fuzzy tree is a ...

In this paper we introduce the concept of strong total domination in fuzzy graphs. We determine the strong total domination number for several classes of fuzzy graphs. A lower bound and an upper bound for the strong total domination number in terms of strong domination number is obtained. Strong total domination in fuzzy trees is studied. A necessary and sufficient condition for the set of fuzz...

The X-ray analysis of (6R,7aS)-6-(tert-butyl-dimethylsilanyloxy)-1-hydroxy-2-phenyl-5,6,7,7a-tetrahydropyrrolizin-3-one, C19H27NO3Si, revealed a diffraction pattern which is typical for modulated structures: strong Bragg peaks surrounded by weaker reflections which cannot be indexed with the same three reciprocal lattice vectors that are used to describe the strong peaks. For this class of crys...

<span lang="EN-US">This study obtained expert consensus on the constructs of personal leadership competencies for Malaysia Matriculation College middle leaders using approach Fuzzy Delphi Method (FDM). A list instruments containing proposed construct and all elements was given to 30 experts from various fields backgrounds. This study's finding indicates that most agree with competencies. ...

An unresolved issue in higher avian systematics is the position of the fowl-like and the duck-like birds, Galliformes and Anseriformes, respectively. Most studies place these orders at the base of the neognath radiation. While DNA hybridization data support a sister-group relationship of Galliformes and Anseriformes, macromolecular sequence analyses have not yet been able to provide a clear-cut...

Introduction:Low-pass filters eliminate noise, and accordingly improve the quality of filtered back-projection (FBP) in the reconstruction of single photon emission computed tomography (SPECT) images. This study aimed at selection of an optimum low-pass filter for FBP reconstruction of SPECT images of small structures. Material and Methods:Sp...

Background: Kawasaki disease (KD) is one of the most prevalent vasculitis diseases in children and can bring about serious cardiovascular complications. Early detection of cardiac involvement in KD can play an essential role in managing and preventing the cardiac sequels. We aimed to evaluate the applicability and diagnostic accuracy of cardiac biomarkers including car...