Definition. A binary operation * on a non-empty set S is a rule that assigns to each ordered pair of elements of elements of S a uniquely determined element of S. The element assigned to the ordered pair (a, b) with a, b ∈ S is denoted by a * b. Remark. In other words, a binary operarion of a set S is a function * : S×S → S from the Cartesian product S × S to the set S. The only difference is t...

“Quorum Sensing” has been identified as one of the most consequential microbiology discoveries of the last 10 years. Using Quorum Sensing bacterial colonies synchronize gene expression and phenotype change allowing them, among other things, to protect their niche, coordinate host invasion and bio-film formation. In this contribution we briefly describe the elementary microbiology background and...

The article introduces the concepts of pseudostarlikeness and pseudoconvexity in direction absolutely converges $\Pi_0=\{s\in\mathbb{C}^p\colon \text{Re}\,s<0\}$, $p\in\mathbb{N},$ multiple Dirichlet series form$$ F(s)=e^{(h,s)}+\sum\nolimits_{\|(n)\|=\|(n^0)\|}^{+\infty}f_{(n)}\exp\{(\lambda_{(n)},s)\}, \quad s=(s_1,...,s_p)\in {\mathbb C}^p,\quad p\geq 1,$$where $ \lambda_{(n^0)}>h$, $\...

the obsessive beliefs questionnaire-44 (obq-44), a self-report measure, was developed by the obsessive compulsive cognitions working group (occwg) to assess beliefs considered relevant in the etiology and maintenance of obsessions and compulsions. the purpose of this study was to evaluate the psychometric properties of the persian language version of the obsessive beliefs questionnaire (pobq-44...

C. B. Martin’s The Mind in Nature is a manifesto in favor of a comprehensive powersbased ontology, aiming to treat the actual and the modal, the causal and the constitutive, the scientific and the mathematical, and the physical and the mental, all by primary appeal to the notion of an irreducible qualitatively informed disposition (with some substratum thrown in for good measure). Like many man...

Inspired by the recent experimental results which show deviations from standard model predictions of $b\ensuremath{\rightarrow}s{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ transitions, we study $R$-parity violating minimal supersymmetric extended inverse seesaw mechanism. The trilinear terms, together with chiral mixing sneutrinos, induce loop contributions to anomaly. We param...