‎in this paper some properties of weak regular injectivity for $s$-posets‎, ‎where $s$ is a pomonoid‎, ‎are studied‎. ‎the behaviour‎ ‎of different kinds of weak regular injectivity with products‎, ‎coproducts and direct sums is considered‎. ‎also‎, ‎some‎ ‎characterizations of pomonoids over which all $s$-posets are of‎ ‎some kind of weakly regular injective are obtained‎. ‎further‎, ‎we‎ ‎giv...

We utilize recent results of André and Gabber on the existence weakly functorial, integral perfectoid big Cohen–Macaulay (BCM) algebras to study singularities local rings in mixed characteristic. In particular, we introduce a characteristic BCM-variant rational/F-rational singularities, log terminal/F-regular multiplier/test ideals divisor pairs. prove number about these objects including restr...

Wobble base pairs are critical in various physiological functions and have been linked to local structural perturbations in double-helical structures of nucleic acids. We report a 1.38-Å resolution crystal structure of an antiparallel octadecamer RNA double helix in overall A conformation, which includes a unique, central stretch of six consecutive wobble base pairs (W helix) with two G·U and f...

This paper mainly treats of the interconnections between the periodic Schur form and its associated periodical deflating subspaces. We establish some equivalent statements of the periodic Schur decomposition for regular periodic matrix pairs. Based on these equivalences, we define the eigenspaces for regular periodic matrix pairs, and point out the corresponding eigenvalues inherited from a giv...

Consider all geodesics between two given points on a polyhedron. On the regular tetrahedron, we describe all the geodesics from a vertex to a point, which could be another vertex. Using the Stern– Brocot tree to explore the recursive structure of geodesics between vertices on a cube, we prove, in some precise sense, that there are twice as many geodesics between certain pairs of vertices than o...

The responses of putative gamma-aminobutyratergic interneurons (fast-spiking) and pyramidal (regular-spiking) cell pairs were compared in monkeys performing visual and memory-guided oculomotor tasks. Both fast- and regular-spiking neurons had similar receptive fields, indicating that gamma-aminobutyratergic interneurons carry a specific informational signal, as opposed to providing nonspecific ...

in recent years, many changes have been observed in buying culture of customers and developing chain stores in iran. moreover, need to be more competition in business environments made necessary the stablishment of chain stores, the creation of competitive advantage and long relations to the costumers. regular marketing is a response to stores requirement when establishing such a win-win long r...

Isotropic systems are structures which unify some properties of 4-regular graphs and of pairs of dual binary matroids. In this paper we unify the properties of the symmetric Tutte polynomials (i.e. with equal variables) of binary matroids and of the Martin polynomials of 4-regular graphs. For this purpose we introduce the orienting vectors of an isotropic system in order to generalize the euler...

this article studies sir walter scott’s use of the family-as-nation trope in ivanhoe and anne of geierstein. the importance of this trope in his figuration of nationhood is discerned by carrying out a close reading of the texts and placing them in their historical context, which primarily consists of a comparison with edmund burke and maria edgeworth. consequently, his position is revealed as b...