Because their topological structures have certain crystallographic symmetry, there is anisotropy in triply periodic minimal surface (TPMS) porous structures. Anisotropy can affect the mechanical properties of structures; thus, it necessary to research TPMS In this study, based on quaternionic three-dimensional rotation, were rotated around three crystal directions: [100], [110], and [111]. The ...

We study the theory of Lovely pairs of þ-rank one theories, in particular O-minimal theories. We show that the class of א0-saturated dense pairs of O-minimal structures studied by van den Dries [6] agrees with the corresponding class of lovely pairs. We also prove that the theory of lovely pairs of O-minimal structures is super-rosy of rank ≤ ω.

We introduce a new notion of tame geometry for structures admitting an abstract notion of balls. The notion is named b-minimality and is based on definable families of points and balls. We develop a dimension theory and prove a cell decomposition theorem for bminimal structures. We show that b-minimality applies to the theory of Henselian valued fields of characteristic zero, generalizing work ...

Two properties of the Co-Spectrum of the Joint Spectrum of finitely many abstract structures are presented a Minimal Pair type theorem and the existence of a Quasi-Minimal degree with respect to the Joint Spectrum of the structures.

Two properties of the Co-spectrum of the Joint spectrum of infinitely many abstract structures are presented — a Minimal Pair type theorem and the existence of a Quasi-Minimal degree with respect to the Joint spectrum of the structures.

The notion of a first order topological structure was introduced by Pillay [1] as a generalization of the notion of an o-minimal structure. The idea is to provide a general framework in which model theory can be used to analyze a topological structure whose topology isn’t necessarily induced by a definable order. In the o-minimal case, the topology is generated from a basis where each basis set...

nowadays, many antibiotics are being used to control infectious diseases. inappropriate use of antibiotics leads to emergence of resistant bacteria and problems such as a prolonged course of treatment. medicinal plants and their derivatives, as a good source of treatment, are effective against drug resistance. in this study we have evaluated the antimicrobial activity of herbal essential oils o...

This paper develops a conceptual framework to examine how enterprise resource planning (ERP) systems may affect knowledge capabilities that enable organizational improvisation. Drawing upon research into knowledge integration, improvisation and communities of practice, a new concept, minimal structures of knowledge, is introduced. In jazz improvisation, minimal structures (e.g., jazz chord prog...

Taking our inspiration from van Benthem’s treatment of temporal interval structures, and Halpern and Shoham’s work on intervals, we introduce an interval hybrid temporal logic with two binary relations, precedence and inclusion, for talking about interval temporal structures. This paper can be seen as an continuation of the work began in an earlier paper, in which we undertook a purely modal tr...