High-degree Precision Decomposition Method for an Evolution Problem

2001 ◽  
Vol 1 (2) ◽  
pp. 173-187 ◽  
Author(s):  
Z. Gegechkori ◽  
J. Rogava ◽  
M. Tsiklauri

AbstractIn the present work, a symmetrized sequential-parallel decomposition method of the third degree of precision for solving Cauchy abstract problem is suggested. The third degree of precision is reached by introducing the complex coefficient α=1/2±i/(2√3)s. For the scheme considered, explicit a priori estimation is obtained.

2006 ◽  
Vol 13 (2) ◽  
pp. 343-362
Author(s):  
Jemal Rogava ◽  
Mikheil Tsiklauri

Abstract An automatically stable and order three split rational approximation scheme is proposed for solving the Cauchy abstract problem. The third order precision is obtained by introducing the complex parameter and performing a rational approximation of the semigroup. For the considered scheme, an explicit a priori estimate is derived.


2016 ◽  
Vol 64 (4) ◽  
Author(s):  
Dina Emundts

AbstractThis paper suggests an understanding of the concept of “Gewissen” (conscience) according to which Gewissen is best understood as a receptivity to moral principles that corresponds to certain moral feelings. In the first part of the paper this suggestion is spelled out and alternatives to it are discussed. As is shown in the second part, this suggestion goes back to the thought of Immanuel Kant, but it can be developed even if one does not follow Kant in his understanding of the categorical imperative as an a priori principle. However, if one does not follow Kant with respect to the status of the categorical imperative, there are some interesting consequences for our understanding of conscience and especially for our understanding of its relation to knowledge and certainty. These consequences are discussed in the third part of this paper.


2017 ◽  
Vol 23 (3) ◽  
pp. 420-432 ◽  
Author(s):  
Pavel Krejčí ◽  
Adrien Petrov

The third-body concept is a pragmatic tool used to understand the friction and wear of sliding materials. The wear particles play a crucial role in this approach and constitute the main part of the third-body. This paper aims to introduce a mathematical model for the motion of a third-body interface separating two surfaces in contact. This model is written in accordance with the formalism of hysteresis operators as solution operators of the underlying variational inequalities. The existence result for this dynamical problem is obtained by using a priori estimates established for Faedo–Galerkin approximations, and some more specific techniques such as anisotropic Sobolev embedding theory.


2019 ◽  
Vol 28 (1) ◽  
pp. 3-18
Author(s):  
D.A. Gapon

n event of mating between specimens of Corizus hyoscyami and Rhopalus parumpunctatus, registered in the Novgorod Province of Russia is considered. The structure of the aedeagi in their completely inflated state and the female genitalia, as well as the functioning of the genitalia, are described and illustrated. The process of unfolding and swelling of the aedeagi is traced using the method of hydraulic inflation of the membranous parts with glass microcapillaries. The congruence of the genitalia is discussed for each species, and also for the interspecific crosses in both combinations of sexes and species. Structures of insect terminalia are divided into three groups according to their functions: 1) auxiliary structures; 2) structures providing the mutual fixation of the genitalia; and 3) structures directly performing the function of transferring seminal fluid. It is shown that in the considered variants of interspecific crosses, the parts of the genitalia belonging to the second group have almost the same structure and functioning, and most likely cannot perform the function of structural isolation. The structures of the third group have taxon-specific morphological and functioning traits and a high degree of congruence within each species. Schemes of the functioning of the genitalia in interspecific crosses, speculatively showing the impossibility of normal insemination, are proposed.


2009 ◽  
pp. 75-97
Author(s):  
Susan Haack

- Quine's ‘epistemology naturalised' has been profoundly influential, but it is also highly ambiguous. Quine seems at times to claim only that epistemology is not a purely a priori enterprise but an empirical study, continuous with the sciences of cognition; at others, that epistemological questions can be turned over to the sciences to resolve; and on other occasions, that epistemological questions are misconceived and should be replaced by scientific investigation into cognition. What is argued here is that the first and most modest version of Quine's epistemological naturalism is potentially fruitful, the second and more ambitious indefensible, and the third and most ambitious not only false but disastrous.


Author(s):  
Arie Reich ◽  
Hans-W. Micklitz

The concluding chapter sums up the overall findings of the project through three different strands of analysis: the first breaks down the eleven jurisdictions into three groups based on the relative quantity and impact of Court of Justice of the European Union (CJEU) citations found in these jurisdictions. By drawing conclusions from all the country reports through a comparative and macro-perspective, the goal is to distil the insights of the entire project and formulate policy recommendations in the light of EU external policy and legal integration objectives vis-à-vis its neighbourhood; the second examines the many factors that a priori could have an impact on whether judges are likely to cite the CJEU in their judgments, and then discusses what the research has found in relation to the actual role played by these factors; the third tries to place the current project into the context of overall research on the global reach of EU law, which can be ‘exported’ to non-members of the EU through various mechanisms, such as mutual and formal agreement or through more unilateral and spontaneous forms. They include modes of extraterritorial application of EU law, territorial extension, and the so-called ‘Brussels Effect’. The chapter concludes with some general observations and thoughts and formulates possible policy recommendations.


2006 ◽  
Vol 64 (1) ◽  
pp. 132-135 ◽  
Author(s):  
João Paulo Mattos ◽  
Horacio Armando Marenco ◽  
José Maria Campos ◽  
Andréa Vasconcellos Faria ◽  
Luciano Souza Queiroz ◽  
...  

Cerebellar glioblastoma multiforme (GBM) is a rare tumor. This is the third case published in Brazilian literature and, the last one has been described more than 15 years ago. The aggressive behavior of GBM prompts for fast treatment, which can be hampered by the fact that the diagnosis of GBM requires a high degree of suspicion. We describe a case of GBM in a 46 years old man. In conjunction, we present a literature review including particular issues, clinical data, advances in imaging studies, pathological characteristics, treatment options and the behavior of such malignant tumor.


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