scholarly journals Any ground associative-commutative theory has a finite canonical system

1996 ◽  
Vol 17 (1) ◽  
Author(s):  
Paliath Narendran ◽  
Micha�l Rusinowitch
Keyword(s):  
Canonical System ◽  
Commutative Theory

Canonical Submersion and Lie Homomorphisms Normal Subgroup

2020 ◽  
Vol 23 (1) ◽  
pp. 97-101
Author(s):  
Mikhail Petrichenko ◽  
Dmitry W. Serow
Keyword(s):  
Normal Subgroup ◽  
Canonical System ◽  
System Of Equations ◽  
Core Group ◽  
The Core ◽  
Switch Group

Normal subgroup module f (module over the ring F = [ f ] 1; 2-diffeomorphisms) coincides with the kernel Ker Lf derivations along the field. The core consists of the trivial homomorphism (integrals of the system v = x = f (t; x )) and bundles with zero switch group Lf , obtained from the condition ᐁ( ω × f ) = 0. There is the analog of the Liouville for trivial immersion. In this case, the core group Lf derivations along the field replenished elements V ( z ), such that ᐁz = ω × f. Hence, the core group Lf updated elements helicoid (spiral) bundles, in particular, such that f = ᐁU. System as an example Crocco shown that the canonical system does not permit the trivial embedding: the canonical system of equations are the closure of the class of systems that permit a submersion.

scholarly journals Droplet impact onto a spring-supported plate: analysis and simulations

2021 ◽  
Vol 128 (1) ◽  
Author(s):  
Michael J. Negus ◽  
Matthew R. Moore ◽  
James M. Oliver ◽  
Radu Cimpeanu
Keyword(s):  
High Speed ◽  
Flexible Substrate ◽  
Practical Importance ◽  
Hybrid Approach ◽  
Hydrodynamic Pressure ◽  
Analytical Framework ◽  
Canonical System ◽  
Linear Process ◽  
Plate Motion ◽  
The Impact

AbstractThe high-speed impact of a droplet onto a flexible substrate is a highly non-linear process of practical importance, which poses formidable modelling challenges in the context of fluid–structure interaction. We present two approaches aimed at investigating the canonical system of a droplet impacting onto a rigid plate supported by a spring and a dashpot: matched asymptotic expansions and direct numerical simulation (DNS). In the former, we derive a generalisation of inviscid Wagner theory to approximate the flow behaviour during the early stages of the impact. In the latter, we perform detailed DNS designed to validate the analytical framework, as well as provide insight into later times beyond the reach of the proposed analytical model. Drawing from both methods, we observe the strong influence that the mass of the plate, resistance of the dashpot, and stiffness of the spring have on the motion of the solid, which undergo forced damped oscillations. Furthermore, we examine how the plate motion affects the dynamics of the droplet, predominantly through altering its internal hydrodynamic pressure distribution. We build on the interplay between these techniques, demonstrating that a hybrid approach leads to improved model and computational development, as well as result interpretation, across multiple length and time scales.

scholarly journals Recepcja osiągnięć psychologii i psychiatrii w prawie małżeńskim

2011 ◽  
Vol 54 (1-2) ◽  
pp. 175-190
Author(s):  
Ginter Dzierżon
Keyword(s):  
Human Behavior ◽  
Human Activities ◽  
Canon Law ◽  
Canonical System ◽  
Legal Order ◽  
Psychiatric Research ◽  
Basic System ◽  
Pope John Paul Ii ◽  
Anthropological Approach ◽  
Methodological Principles

In the presented lecture the author analyzed the issue of the reception of psychological and psychiatric achievements in the canonical system of marital canon law. On the basis of the teachings of the last Popes and the results of doctrine research, he pointed out that the adoption of the results of psychological and psychiatric research in the canonical system does not have any direct character but should be performed according, to strictly determined methodological principles. This is because any canonist attempting to adopt such achievements ought to adjust them to basic system assumptions of canon legal order. The author of the study demonstrated that such principles were clearly determined in two allocutions to Roman Rota of Pope John Paul II delivered in 1987 and 1988. The speeches of the Pope make it clear that divergence between psychology (or psychiatry) and the canon system as for the judgment of human activities results mainly from different visions of a human being adopted by the representatives of these branches of knowledge. Different anthropological approach has great impact on the assessment of human behavior and also on one’s understanding of marriage. This led the author to the conclusion that in order to unify the judgment about one’s capability to get married, much more effort should be put into developing interdisciplinary anthropology.

On Central Ω-Krull Rings and their Class Groups

1984 ◽  
Vol 36 (2) ◽  
pp. 206-239 ◽  
Author(s):  
E. Jespers ◽  
P. Wauters
Keyword(s):  
Polynomial Ring ◽  
Class Group ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Semi Group ◽  
Class Groups ◽  
Krull Domain ◽  
Direct Limits ◽  
Commutative Theory ◽  
Necessary And Sufficient

The aim of this note is to study the class group of a central Ω-Krull ring and to determine in some cases whether a twisted (semi) group ring is a central Ω-Krull ring. In [8] we defined an Ω-Krull ring as a generalization of a commutative Krull domain. In the commutative theory, the class group plays an important role. In the second and third section, we generalize some results to the noncommutative case, in particular the relation between the class group of a central Ω-Krull ring and the class group of a localization. Some results are obtained in case the ring is graded. Theorem 3.2 establishes the relation between the class group and the graded class group. In particular, in the P.I. case we obtain that the class group is equal to the graded class group. As a consequence of a result on direct limits of Ω-Krull rings, we are able to derive a necessary and sufficient condition in order that a polynomial ring R[(Xi)i∊I] (I may be infinite) is a central Ω-Krull ring.

Robust Feedback Synthesis for the Canonical System

2016 ◽  
Vol 68 (3) ◽  
pp. 380-398 ◽  
Author(s):  
V. I. Korobov ◽  
T. V. Revina
Keyword(s):  
Canonical System ◽  
Feedback Synthesis
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