Representation types of algebras from the model theory point of view

Author(s):  
Stanisław Kasjan
1991 ◽  
Vol 56 (3) ◽  
pp. 505-559 ◽  
Author(s):  
Karel Eckschlager

In this review, analysis is treated as a process of gaining information on chemical composition, taking place in a stochastic system. A model of this system is outlined, and a survey of measures and methods of information theory is presented to an extent as useful for qualitative or identification, quantitative and trace analysis and multicomponent analysis. It is differentiated between information content of an analytical signal and information gain, or amount of information, obtained by the analysis, and their interrelation is demonstrated. Some notions of analytical chemistry are quantified from the information theory and system theory point of view; it is also demonstrated that the use of fuzzy set theory can be suitable. The review sums up the principal results of the series of 25 papers which have been published in this journal since 1971.


Author(s):  
Валерий Иванович Хабаров

Предложена схема формализации задач активной идентификации объекта с использованием аппарата теории моделей - современного раздела математической логики. Теория моделей позволяет погрузить предмет “планирование и анализ эксперимента” в контекст семантического анализа. Семантический анализ понимается как установление соответствия между миром и его формальным представлением. С этой точки зрения представления об исследуемом объекте выражаются в некоторой прикладной теории. Предложен вывод модели для данной теории как процесс интерпретации, в котором ключевая роль отводится “экспериментатору”. Полученные результаты могут быть использованы при проектировании архитектур интеллектуальных систем для экспериментальных исследований, для построения онтологии эксперимента, создания баз знаний Purpose. The purpose of this work is to formalize the tasks of active object identification based on the apparatus of model theory - a modern section of mathematical logic. Model theory allows putting the subject “planning and analysis of an experiment” in the context of semantic analysis. Semantic analysis is understood as establishing a correspondence between the world and its formal representation. From this point of view, the concept of the object under study is expressed in some applied theory, which allows applying formal methods of model theory to it. Methods. It is assumed that the model is derived for this theory as an interpretation process, in which the key role is assigned to the experimenter. As a research method, it is proposed to use commutative diagrams that reflect the process of interpretation and extension of communication diagrams for the so-called equipped theories of planning and analysis of experiments. Results. The properties of the proposed models are proved and examples for planning a regression experiment are presented as an illustration. It is proved that for linear models it is possible to construct a finitely axiomatization capable theory. Findings, originality. The obtained results can be used in the design of architectures for an intelligent system in experimental research, building an experiment ontology and creation of knowledge bases. These studies will allow using logical programming to implement images of the presented commutative diagrams for equipped theories as applied systems for planning and interpreting the experiment


2007 ◽  
Vol 22 (29) ◽  
pp. 5237-5244 ◽  
Author(s):  
H. T. NIEH

Curvature and torsion are the two tensors characterizing a general Riemannian space–time. In Einstein's general theory of gravitation, with torsion postulated to vanish and the affine connection identified to the Christoffel symbol, only the curvature tensor plays the central role. For such a purely metric geometry, two well-known topological invariants, namely the Euler class and the Pontryagin class, are useful in characterizing the topological properties of the space–time. From a gauge theory point of view, and especially in the presence of spin, torsion naturally comes into play, and the underlying space–time is no longer purely metric. We describe a torsional topological invariant, discovered in 1982, that has now found increasing usefulness in recent developments.


2019 ◽  
Vol 21 ◽  
pp. 4
Author(s):  
P. G. Giannaka ◽  
T. S. Kosmas

Nuclear electron capture posses prominent position among other weak interaction processes occuring in explosive nucleosynthesis. In particular, this process plays important role in the core-colapse of massive stars by modifying the electron to baryon ratio Ye. From a nuclear theory point of view, such processes may be studied by using the same nuclear methods (e.g. the quasi-particle random phase approximation, QRPA), employed in the present work with these used for the one-body charge changing nuclear reactions (β-decay modes, charged-current electron-neutrino absorption by nuclei, etc). In this work we calculate e−-capture cross sections on 56Fe using two different approaches. At first, original cross section calculations are perfored by using the pn-QRPA method considering all the accessible transitions of the final nucleus 56Mn. Secondly, we evaluate the Gamow-Teller strength distributions and obtain the cross sections at the limit of zero-momentum transfer. The agreement between the two methods is very good.


2020 ◽  
Vol 1 (2) ◽  
pp. 83-90
Author(s):  
Rebi Fara Handika

Abstract   This paper discussed the company's motive to join a strategic alliance from the institutional theory point of view. The theory views that strategic alliances are considered as the medium to acquire legitimation from the environment. Such legitimation then improves the company’s competitive positions and performance. Further, we propose the framework to discuss the relationship between strategic alliances and a company’s performance. The paper proceeds as follows: in the next section, we discuss the institutional theory, the strategic alliance, and firm performance. Afterward, we develop the propositions and discuss the implications for future empirical research.   Abstrak   Artikel ini membahas motif perusahaan untuk bergabung dengan aliansi strategis dari sudut pandang teori institusional. Teori ini memandang bahwa aliansi strategis dianggap sebagai media untuk memperoleh legitimasi dari lingkungan. Legitimasi tersebut kemudian dipercayai akan meningkatkan posisi kompetitif dan kinerja perusahaan. Selanjutnya, kami mengusulkan framework untuk membahas hubungan antara aliansi strategis dan kinerja perusahaan. Artikel ini akan dilanjutkan sebagai berikut: pada bagian berikutnya, kita membahas teori institusional, aliansi strategis, dan kinerja perusahaan. Setelah itu, kami mengembangkan proposisi dan membahas implikasi untuk penelitian empiris di masa depan.


2009 ◽  
Vol 92 ◽  
pp. S217-S218
Author(s):  
F. Del Moral ◽  
A. Lopez Medina ◽  
J.A. Vazquez ◽  
J.J. Ferrero ◽  
A. Teijeiro ◽  
...  

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