The purpose of this paper is to construct a weak hyper semi-quantale as a generalization of the concept of semi-quantale and used it as an appropriate hyperlattice-theoretic basis to formulate new lattice-valued topological theories. Based on such weak hyper semi-quantale, we aim to construct the notion of a weak hypervalued-topology as a generalized form of the so-called lattice-valued t...

In this article we will present some problems that have weak symmetries. In contrast to a proper symmetry, a weak symmetry acts only on a subset of the variables and preserves the feasibility state only with respect to a subset of the constraints. Therefore, breaking weak symmetries with standard techniques would lead to a loss of solutions. This article presents also a modelling technique whic...

In this paper, we classify all generalized quadrangles weakly embedded of degree 2 in projective space. More exactly, given a (possibly infinite) generalized quadrangle Γ = (P,L, I ) and a map π from P (respectively L) to the set of points (respectively lines) of a projective space PG(V ), V a vector space over some skew field (not necessarily finite-dimensional), such that: (i) π is injective ...

Hopelessness is a well-established predictor of suicide, and inspiring hope is an important goal in mental health care, but there are few studies of hope among persons with suicidal behavior. The aim of this study was to interpret the lived experience of hope in some patients hospitalized for intentional self-harm. Twelve persons that had engaged in suicidal behavior by ingesting an overdose of...

After the rise of education reform in China, more and schools began to pay attention construction practice bases. As an indispensable auxiliary part each enterprise's development, finance naturally received high attention. Especially with advent big data era, demand for high-quality compound financial talents is growing rapidly. However, practical skills cultivated from traditional bases built ...

We discuss the axioms for vertex algebras and their modules, using formal calculus. Following certain standard treatments, we take the Jacobi identity as our main axiom and we recall weak commutativity and weak associativity. We derive a third, companion property that we call “weak skew-associativity.” This third property in some sense completes an S3-symmetry of the axioms, which is related to...