We define the notion of weak relative pseudo-complement on meet semi-lattices, and we show that it is strictly weaker than relative pseudo-complementation, but stronger than pseudo-complementation. Our main result is that if a complete lattice L is meet-continuous, then every closure operator on L admits weak relative pseudo-complements with respect to continuous closure operators on L.

We propose a new approach to models of general compressible viscous fluids based on the concept dissipative solutions. These are weak solutions satisfying underlying equations modulo defect measure. A solution coincides with strong as long latter exists (weak–strong uniqueness) and they solve problem in classical sense soon smooth (compatibility). We consider non–li...

A weak square in a binary word is a pair of adjacent non-empty blocks of the same length, having the same number of 1s. A weak circular square is a weak square which is possibly wrapped around the word: the tail protruding from the right end of the word reappears at the left end. Two weak circular squares are equivalent if they have the same length and contain the same number of ones. We prove ...

Abstract. We construct a discrete model of the homotopy theory of S-spaces. We define a category P with objects composed of a simplicial set and a cyclic set along with suitable compatibility data. P inherits a model structure from the model structures on the categories of simplicial sets and cyclic sets. We then show that there is a Quillen equivalence between P and the model category of S-spa...

This paper analyzes both the strong points and weak points of OSPF routing protocol from security perspective. On its strong points, we abstract its features of information least dependency and information hiding, which make it very robust and fault resilient, even when facing certain malicious attacks. On its weak points, we take a pragmatic look at various problems centering round secure rout...

This paper examines asymptotic equivalence in the sense of Le Cam between density estimation experiments and the accompanying Poisson experiments. The significance of asymptotic equivalence is that all asymptotically optimal statistical procedures can be carried over from one experiment to the other. The equivalence given here is established under a weak assumption on the parameter space F . In...

This paper analyzes Kiparsky & Kiparsky’s (1970) observation that there exists a deep correlation between the semantics and the syntax of factive complements in the light of a wide range of (old and new) phenomena : the incompatibility of ECM and that-less complements with factive predicates, weak island effects, the incompatibility of pure propositional complements with verbs that contain aspe...

Platform-mediated networks encompass several distinct types of participants, including end users, complementors, platform providers who facilitate users’ access to complements, and sponsors who develop platform technologies. Each of these roles can be opened—that is, structured to encourage participation—or closed. This paper reviews factors that motivate decisions to open or close mature platf...

mumps is an acute contagious viral disease that usually manifests as inflam¬mation of the parotid glands. the disease may be associated with symptoms such as parotitis, orchitis and meningoencephalitis. 85% of cases occur in children under 15 years of age. the disease is rare below two years but increases with age, reaching a maximum at 5 to 9 years. some studies in iran showed that the highest...