4 CAGEr workflow 6 4.1 Specifying input files . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 4.2 Creating CAGEset object . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 4.3 Reading in the data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4.4 Correlation between samples . . . . . . . . . . . . . . . . . . . . . . . . . 9 4.5 Normalization . . . . . . . . . ....

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 ...

The article describes essential parts of a prototype system for machine aided translation from Norwegian-Bokmal to Norwegian-Nynorsk. The central parts of the system are a bilingual word list, inflection paradigms, phrases, and routines to deal with compound words. There are also synt2ictic and semantic rules, but they can be considered as preliminary. The article also includes a simple compari...

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...

A weak entwining structure in a 2-category K consists of a monad t and a comonad c, together with a 2-cell relating both structures in a way that generalizes a mixed distributive law. A weak entwining structure can be characterized as a compatible pair of a monad and a comonad, in 2-categories generalizing the 2-category of comonads and the 2-category of monads in K , respectively. This observa...

Motivated by recent experiments reporting the suppression of critical current in superconducting Dayem bridges application strong electrostatic fields, this work we study impact on gap charge redistribution response to an applied electric field thin crystalline metals. By numerically solving BCS equation and Poisson a fully self-consistent way, find that reducing pairing strength observe increa...

This study aims to show that four maps in a b-metric space satisfy pairwise weak compatibility have common fixed points under certain conditions. In the main results of this paper, (CLR) property is employed, and for weakly compatible mappings are established. All our findings backed up by befitting examples. Our generalize extend previous literature.