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Stability for Effective Algebras

Jens Blanck, Viggo Stoltenberg-Hansen, John V. Tucker
2008 Electronical Notes in Theoretical Computer Science  
We give a general method for showing that all numberings of certain effective algebras are recursively equivalent. The method is based on computable approximation-limit pairs.  ...  The results are a continuation of the work by Mal'cev, who, for example, showed that finitely generated semicomputable algebras are computably stable.  ...  Each weakly effective numbering α is equivalent to γ e for some e. Proposition 4.9 Let (A, α) be a weakly effective partial Σ-algebra. Then α ∼ γ e for some partial sequence e.  ... 
doi:10.1016/j.entcs.2008.12.002 fatcat:ipmnocbiojd57kkoatariv4e34

Stability analysis of stagnation point flow in nanofluid over stretching/shrinking sheet with slip effect using buongiorno's model

Najwa Najib, ,Institute for Mathematical Research, Universiti Putra Malaysia, 43400, Serdang, Selangor, Malaysia, Norfifah Bachok, Norihan Md Arifin, Fadzilah Md Ali, ,Department of Mathematics, Universiti Putra Malaysia, 43400, Serdang, Selangor, Malaysia
2019 Numerical Algebra, Control and Optimization  
The study on stagnation boundary layer flow in nanofluid over stretching/shrinking sheet with the effect of slip at the boundary was considered by applying the Buongiorno's model.  ...  The stability analysis results expressed that the first solution is stable and physically realizable whereas the second solution is not. 2010 Mathematics Subject Classification. 76D10.  ...  A great appreciation to Putra Grant of Universiti Putra Malaysia (Project code: GP-IPS/2016/9513000) for the financial support received.  ... 
doi:10.3934/naco.2019041 fatcat:qp6pxezbkre2vbew56agvzac5q


Oleksii Mokhonko, Sergiy Dyachenko
2010 Methods of Functional Analysis and Topology   unpublished
The main result of the article claims that if the spectra is concentrated on an algebraic curve the dimensions of Jacobi-type matrix blocks do not grow starting with some value.  ...  Just as in the case of classical Jacobi matrices (e.g. of self-adjoint operators) such a structure can be effectively used.  ...  We call this phenomenon the dimension stabilization effect.  ... 

Early acceleration of students in mathematics: Does it promote growth and stability of growth in achievement across mathematical areas?

Xin Ma
2005 Contemporary Educational Psychology  
Early acceleration also promoted stability of growth across mathematical areas, and this stability was not dependent on student and school characteristics.  ...  growth in different mathematical areas (basic skills, algebra, geometry, and quantitative literacy) and stable growth across these mathematical areas.  ...  These measures were used in the present study to adjust for school effects.  ... 
doi:10.1016/j.cedpsych.2005.02.001 fatcat:5aq7s3rhbvdovjbom73dqbxoam

Page 2796 of Mathematical Reviews Vol. , Issue 93e [page]

1993 Mathematical Reviews  
(iii) BH- algebraic stability implies BH-stability; BH-weak algebraic stability implies weak BH-stability.  ...  Summary: “In this paper, we introduce new concepts of BH- algebraic stability and BH-weak algebraic stability for a general class of multivalue methods and for the numerical solution of initial value problems  ... 

Steam generator level control with an observer-based algebraic approach

Gunyaz Ablay
2013 2013 8th International Conference on Electrical and Electronics Engineering (ELECO)  
A robust nonlinear estimator-based optimal algebraic control is developed for level control systems to solve the water level tracking problem during power demand variations.  ...  An optimal controller is selected to meet stability and performance requirements. A block diagram for the optimal algebraic controller based system is shown in Fig. 1 .  ...  sufficient condition for instability is given by 1 1 , for some 1, 2, , 2 i i i n J J d } (15) In order to guarantee the stability of the characteristic polynomial based on stability and robustness  ... 
doi:10.1109/eleco.2013.6713819 fatcat:ydcray5t4zfhrhzmwv5yqcy7xq

Hopf bifurcation and stability for a differential-algebraic biological economic system

Guodong Zhang, Lulu Zhu, Boshan Chen
2010 Applied Mathematics and Computation  
Finally, numerical simulations illustrate the effectiveness of our results. Ó  ...  In this paper, we analyze the stability and Hopf bifurcation of the biological economic system based on the new normal form and the Hopf bifurcation theorem.  ...  In addition, a lot of fundamental analyzing methods for differential algebraic equations and differential-difference-algebraic equations have been presented, such as local stability [18], optimal control  ... 
doi:10.1016/j.amc.2010.05.065 fatcat:bnhgpruqcfaejbtbmjzuqf53ue

Page 5970 of Mathematical Reviews Vol. , Issue 93k [page]

1993 Mathematical Reviews  
Stability properties of the class of all effective descent morphisms are also derived, in particular, its stability under pullback.” {For the entire collection see MR 93e:18001.}  ...  Summary: “A characterization of effective descent morphisms is given for categories with pullbacks and coequalizers, in terms of effectiveness of certain naturally arising equivalence relations and stability  ... 

Hopf bifurcations induced by SVC Controllers: A didactic example

Wei Gu, Federico Milano, Ping Jiang, Guoqing Tang
2007 Electric power systems research  
This paper illustrates the effects of a static var compensator (SVC) device on the stability of a simple "single-machine dynamic-load" system.  ...  Firstly, the stability of the test system without SVC is investigated. The analysis is based on bifurcation diagrams, small signal stability analysis and time domain simulations.  ...  This paper focuses on static var compensator (SVC) devices and their effects on voltage stability of power systems.  ... 
doi:10.1016/j.epsr.2006.03.001 fatcat:iqjujy32afdyrm2dl26xbxkxem


2005 International Journal of Modern Physics D  
Since the Poincare'-Heisenberg algebra does not carry the indicated immunity it is suggested that the Lie algebra for the interface of the gravitational and quantum realms (IGQR) is its stabilized form  ...  Here, I show that the adoption of the stabilized Poincare'-Heisenberg algebra (SPHA) for the IGQR has the immediate implication that 'point particle' ceases to be a viable physical notion.  ...  Acknowledgments It is my pleasure to thank Chryssomalis Chryssomalakos, Daniel Grumiller, and John Swain for their comments and questions on earlier versions of this essay, and Daniel Sudarsky for a discussion  ... 
doi:10.1142/s0218271805008030 fatcat:posoegijurhmpacflnez5e2fgm

Page 4585 of Mathematical Reviews Vol. , Issue 2002F [page]

2002 Mathematical Reviews  
(RS-AOS; Moscow); Liberzon, Daniel (1-IL-S; Urbana, IL) Lie-algebraic stability criteria for switched systems. (English summary) SIAM J. Control Optim. 40 (2001), no. 1, 253-269 (electronic).  ...  The corresponding local stability result for the nonlinear switched system is also es- tablished.  ... 

Ulam's Type Stability

Janusz Brzdęk, Nicole Brillouët-Belluot, Krzysztof Ciepliński, Bing Xu
2012 Abstract and Applied Analysis  
This special issue on Ulam's type stability is focused on the recent achievements in that type of stability for various objects.  ...  Several papers deal with the stability of several kinds of derivations, and, thus, derivations in Riesz algebras, m, n σ,τ -derivations in normed algebras, cubic * -derivations in Banach * -algebras, and  ...  Several papers deal with the stability of several kinds of derivations, and, thus, derivations in Riesz algebras, m, n σ,τ -derivations in normed algebras, cubic * -derivations in Banach * -algebras, and  ... 
doi:10.1155/2012/329702 fatcat:5tb3q72u5jfxrjsixhqevoi2n4

A Solvable Lie Algebra Condition for Stability of Linear Multidimensional Systems

T. Chu, C. Zhang, L. Wang
2006 IEEE Transactions on Automatic Control  
Using a multidimensional comparison principle for estimating the system componentwise exponential convergence and a solvable Lie algebra condition, a sufficient condition for exponential stability of linear  ...  Index Terms-Comparison method, exponential stability, multidimensional systems, solvable Lie algebra.  ...  ACKNOWLEDGMENT The authors would like to thank the anonymous reviewers and the Associate Editor for their helpful comments and constructive suggestions in improving this manuscript.  ... 
doi:10.1109/tac.2005.863516 fatcat:t6ckrzj4jverxn2phyfcy2j7ay

A new Gröbner basis conversion method based on stabilization techniques

Kiyoshi Shirayanagi, Hiroshi Sekigawa
2008 Theoretical Computer Science  
Next, assuming this support to be correct, we use linear algebra, namely, the method of indeterminate coefficients to determine the exact values for the coefficients.  ...  We propose a new method for converting a Gröbner basis w.r.t. one term order into a Gröbner basis w.r.t. another term order by using the algorithm stabilization techniques proposed by Shirayanagi and Sweedler  ...  Acknowledgments The authors are grateful to Victor Pan and the anonymous referees for their valuable comments on improving the paper.  ... 
doi:10.1016/j.tcs.2008.09.007 fatcat:qmkq4j2kbvagfbd567pe53bwga

The deformation-stability fundamental length and deviations from c

R. Vilela Mendes
2012 Physics Letters A  
might have chosen for its algebraic framework.  ...  It is well-known that 1/c and ħ are the deformation parameters that stabilize the Galilean and the Poisson algebra.  ...  What it perhaps implies is that c should not be called the speed of light. 3) Other effects arising from the deformation-stability noncommutative structure are explored in Ref. [47] .  ... 
doi:10.1016/j.physleta.2012.04.038 fatcat:vz4uaqhnkffgndutcs6avunuxa
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