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Journal articles on the topic 'Algebraic system'

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1

Kravtsov, H. O., S. M. Hrechko, V. V. Nikitchenko, and A. M. Prymushko. "Cognitive Algebraic System." Èlektronnoe modelirovanie 44, no. 3 (2022): 14–30. http://dx.doi.org/10.15407/emodel.44.03.014.

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2

Omarov, A. I. "Orthogonally complete algebraic system." Algebra and Logic 30, no. 2 (1991): 134–39. http://dx.doi.org/10.1007/bf01978833.

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3

M. Srividya, D. Vidhya, and G. Jayalalitha. "A STUDY ON QUASI UNIFORM DYNAMICAL SYSTEM." International Journal of Scientific Research in Modern Science and Technology 2, no. 12 (2023): 31–37. http://dx.doi.org/10.59828/ijsrmst.v2i12.167.

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This paper introduces a new concept called fuzzy rough algebraic quasi uniformity on a fuzzy rough TM dynamical system. It is highlighting the properties of fuzzy rough quasi uniform dynamical system space. This paper proves that any finite intersection of fuzzy rough quasi uniform open algebraic is a fuzzy rough quasi uniform open algebraic and any finite union of fuzzy rough quasi uniform closed algebraic is a fuzzy rough quasi uniform closed algebraic.
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4

Holcombe, M. "Algebraic Techniques of System Specification." Irish Mathematical Society Bulletin 0021 (1988): 13–28. http://dx.doi.org/10.33232/bims.0021.13.28.

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5

Cadzow, J., and O. Solomon. "Algebraic approach to system identification." IEEE Transactions on Acoustics, Speech, and Signal Processing 34, no. 3 (1986): 462–69. http://dx.doi.org/10.1109/tassp.1986.1164849.

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6

Jang, Youngho. "Algebraic Weyl system and application." Annales mathématiques Blaise Pascal 4, no. 2 (1997): 27–40. http://dx.doi.org/10.5802/ambp.95.

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7

HINDMAN, NEIL. "The Topological-Algebraic System(?N, +, ?)." Annals of the New York Academy of Sciences 704, no. 1 Papers on Gen (1993): 155–63. http://dx.doi.org/10.1111/j.1749-6632.1993.tb52519.x.

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8

Letichevskii, A. A., and V. G. Marinchenko. "Objects in algebraic programming system." Cybernetics and Systems Analysis 33, no. 2 (1997): 283–99. http://dx.doi.org/10.1007/bf02665902.

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9

Fu, Jun, Jinzhao Wu, and Hongyan Tan. "A Deductive Approach towards Reasoning about Algebraic Transition Systems." Mathematical Problems in Engineering 2015 (2015): 1–12. http://dx.doi.org/10.1155/2015/607013.

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Algebraic transition systems are extended from labeled transition systems by allowing transitions labeled by algebraic equations for modeling more complex systems in detail. We present a deductive approach for specifying and verifying algebraic transition systems. We modify the standard dynamic logic by introducing algebraic equations into modalities. Algebraic transition systems are embedded in modalities of logic formulas which specify properties of algebraic transition systems. The semantics of modalities and formulas is defined with solutions of algebraic equations. A proof system for this
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10

Wampler, Charles W., and Andrew J. Sommese. "Numerical algebraic geometry and algebraic kinematics." Acta Numerica 20 (April 28, 2011): 469–567. http://dx.doi.org/10.1017/s0962492911000067.

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In this article, the basic constructs of algebraic kinematics (links, joints, and mechanism spaces) are introduced. This provides a common schema for many kinds of problems that are of interest in kinematic studies. Once the problems are cast in this algebraic framework, they can be attacked by tools from algebraic geometry. In particular, we review the techniques of numerical algebraic geometry, which are primarily based on homotopy methods. We include a review of the main developments of recent years and outline some of the frontiers where further research is occurring. While numerical algeb
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11

Essert, Mario, and Darko Žubrinić. "Šare’s algebraic systems." Acta mathematica Spalatensia 2 (December 1, 2022): 1–28. http://dx.doi.org/10.32817/ams.2.1.

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We study algebraic systems MΓ of free semigroup structure, where Γ is a well ordered finite alphabet, discovered in 1970s within the Theory of Electric Circuits by Miro Šare, and and finding recent recent applications in Multivalued Logic, as well as in Computational Linguistics. We provide three simple axioms (reversion axiom (5) and two compression axioms (6) and (7)), which generate the corresponding equivalence relation between words. We also introduce a class of incompressible words, as well as the quotient Šare system MΓ~. The main result is contained in Theorem 16, announced by Šare wit
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12

Chandrashekara A C. "System Hypothesis Implications of Algebraic Geometry." international journal of engineering technology and management sciences 7, no. 1 (2023): 105–8. http://dx.doi.org/10.46647/ijetms.2023.v07i01.018.

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Certain pole-placement concepts, such as an enhanced form of pole location with output response, are proven using fundamental algebraic geometry equations. Illustrations that highlight the algebra-geometric equations drawbacks and its possible application to systems analysis are shown. This study and ones that may come after it may help to make the potent theorems of current algebraic geometry comprehensible and useful for solving technical hurdles.
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13

Muhafzan, Zulakmal, Y. M. Putri, and L. W. June. "Minimum energy control of fractional-order differential-algebraic system." Cybernetics and Physics, Volume 11, 2022, Number 3 (November 17, 2022): 151–56. http://dx.doi.org/10.35470/2226-4116-2022-11-3-151-156.

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This paper discusses the minimum energy control problem of fractional-order differential-algebraic system. The main aim of this paper is to find the minimum energy that drives an initial state of the fractional order differential-algebraic system to the zero state such that an index performance is minimized. The method of solving is to convert the minimum energy control problem of fractional-order differential-algebraic system into the standard fractional-order linear quadratic optimization problem by using a transformation and further solve the standard fractional-order linear quadratic optim
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14

Junttila, Tommi A. "Finding Symmetries of Algebraic System Nets." Fundamenta Informaticae 37, no. 3 (1999): 269–89. http://dx.doi.org/10.3233/fi-1999-37305.

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15

Führer, Claus. "ALGEBRAIC METHODS IN VEHICLE SYSTEM ANALYSIS." Vehicle System Dynamics 16, sup1 (1987): 315–28. http://dx.doi.org/10.1080/00423118708969180.

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16

Amirat, Youcef Aït, and Sette Diop. "Towards an Algebraic System Theory Toolbox." IFAC Proceedings Volumes 29, no. 1 (1996): 2697–702. http://dx.doi.org/10.1016/s1474-6670(17)58083-0.

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17

Abdali, S. Kamal, Guy W. Cherry, and Neil Soiffer. "A Smalltalk system for algebraic manipulation." ACM SIGPLAN Notices 21, no. 11 (1986): 277–83. http://dx.doi.org/10.1145/960112.28724.

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18

LIU, WEI, YUXIAN CHEN, and CHAOJIN FU. "DYNAMIC BEHAVIOR ANALYSIS OF A DIFFERENTIAL-ALGEBRAIC PREDATOR–PREY SYSTEM WITH PREY HARVESTING." Journal of Biological Systems 21, no. 03 (2013): 1350022. http://dx.doi.org/10.1142/s0218339013500228.

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This paper studies a differential-algebraic predator–prey system with prey harvesting, which consists of two differential equations and an algebraic equation. By using the differential-algebraic system theory, bifurcation theory and formal series expansions, we investigate the Hopf bifurcation and center stability of the differential-algebraic predator–prey system. Some sufficient conditions on these issues are obtained. In addition, numerical simulations illustrate the effectiveness of our results and their biological implications are discussed.
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19

Xeyrəbadi, Qəzalə, and smət Ağalarova İ. "DETERMINATION OF THE BOUNDARY CONDITIONS OF THE STRESS FUNCTION WITH UNKNOWN COEFFICIENTS OF AN ELASTIC HALF-PLANE WITH CIRCULAR CAVITIES." Scientific works/Elmi eserler 2 (April 2, 1996): 56–62. http://dx.doi.org/10.58225/sw.2022.2.56-62.

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Abstract. In this paper, discusses the solution of the first fundamental boundary value problem for an elastic half-space with a circular space.In the article, the definition of an analytical function with an unknown coefficient given in the inner contour is not related to the separations by the contour variable of the boundary condition, but to a system of infinite linear algebraic equations obtained in the process of orthogonalization of this boundary condition.The coefficients of a system of algebraic equations are expressed in terms of integrals along a circular contour, that is, it is obt
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20

Valls, Claudia. "Invariant algebraic surfaces and algebraic first integrals of the Maxwell–Bloch system." Journal of Geometry and Physics 146 (December 2019): 103516. http://dx.doi.org/10.1016/j.geomphys.2019.103516.

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21

Wasil, Moh, Fiqih Rahman Hartiansyah, and Istianah Alifia. "ALGEBRAIC STRUCTURES IN HEREDITY HUMAN BLOOD GROUP SYSTEM." Journal of Fundamental Mathematics and Applications (JFMA) 7, no. 1 (2024): 87–102. http://dx.doi.org/10.14710/jfma.v7i1.20552.

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Marriage or in this case the researcher calls it "cross-operation" between two individuals (male and female) who have the same or different blood type has the probability to produce children (offspring) with the same blood type as one of the parents or even have a completely different blood type with both of them, whether it is the ABO blood type system or MN if it is associated with the rhesus system or not. The cross-operation between two individuals can be viewed from a mathematical perspective as an algebraic structure with one closed binary operation (OB). The cross-operation of ABO blood
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22

ŚWIRSZCZ, GRZEGORZ. "AN ALGORITHM FOR FINDING INVARIANT ALGEBRAIC CURVES OF A GIVEN DEGREE FOR POLYNOMIAL PLANAR VECTOR FIELDS." International Journal of Bifurcation and Chaos 15, no. 03 (2005): 1033–44. http://dx.doi.org/10.1142/s0218127405012442.

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Given a system of two autonomous ordinary differential equations whose right-hand sides are polynomials, it is very hard to tell if any nonsingular trajectories of the system are contained in algebraic curves. We present an effective method of deciding whether a given system has an invariant algebraic curve of a given degree. The method also allows the construction of examples of polynomial systems with invariant algebraic curves of a given degree. We present the first known example of a degree 6 algebraic saddle-loop for polynomial system of degree 2, which has been found using the described
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23

Phusanga, D., and J. Koppitz. "Some varieties of algebraic systems of type ((n),(m))." Asian-European Journal of Mathematics 12, no. 01 (2019): 1950005. http://dx.doi.org/10.1142/s1793557119500050.

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In the present paper, we classify varieties of algebraic systems of the type [Formula: see text], for natural numbers [Formula: see text] and [Formula: see text], which are closed under particular derived algebraic systems. If we replace in an algebraic system the [Formula: see text]-ary operation by an [Formula: see text]-ary term operation and the [Formula: see text]-ary relation by the [Formula: see text]-ary relation generated by an [Formula: see text]-ary formula, we obtain a new algebraic system of the same type, which we call derived algebraic system. We shall restrict the replacement t
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24

Moysis, Lazaros, and Nicholas Karampetakis. "Algebraic Methods for the Construction of Algebraic-Difference Equations With Desired Behavior." Electronic Journal of Linear Algebra 34 (February 21, 2018): 1–17. http://dx.doi.org/10.13001/1081-3810.3741.

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For a given system of algebraic and difference equations, written as an Auto-Regressive (AR) representation $A(\sigma)\beta(k)=0$, where $\sigma $ denotes the shift forward operator and $A\left( \sigma \right) $ a regular polynomial matrix, the forward-backward behavior of this system can be constructed by using the finite and infinite elementary divisor structure of $A\left( \sigma \right) $. This work studies the inverse problem: Given a specific forward-backward behavior, find a family of regular or non-regular polynomial matrices $A\left( \sigma \right) $, such that the constructed system
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25

Mavoungou, J. P., and C. Nkuimi-Jugnia. "On a characterization of the lattice of subsystems of a transition system." International Journal of Mathematics and Mathematical Sciences 2006 (2006): 1–4. http://dx.doi.org/10.1155/ijmms/2006/82318.

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It was first proved by Birkhoff and Frink, and the result now belongs to the folklore, that any algebraic lattice is up to isomorphism the lattice of subuniverses of a universal algebra. A study of subsystems of a transition system yields a new algebraic concept, that of a strongly algebraic lattice. We give here a representation theorem to the manner of Birkhoff and Frink of such lattices.
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26

Chuiko, Sergey, Olga Nesmelova, and Olena Chuiko. "Nonlinear boundary value problems for degenerate differential-algebraic systems in the noncritical case." V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics, no. 100 (November 1, 2024): 4–18. https://doi.org/10.26565/2221-5646-2024-100-01.

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We have obtained the conditions of existence and a scheme for constructing solutions of a weakly nonlinear boundary value problem for a degenerate differential-algebraic system in the noncritical case. The boundary condition is determined by a weakly nonlinear vector functional. The linear part of the problem is a linear boundary value problem for a degenerate differential-algebraic system. Linear differential-algebraic boundary value problems have been studied in monographs by S. Campbell, J.R. Magnus, A.M. Samoilenko and V.P. Yakovets. In the works of A.M. Samoilenko and O.A. Boichuk, using
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27

Chuiko, Sergei, and Olga Nesmelova. "About the equilibrium positions of a matrix differential-algebraic boundary value problem." Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine 33 (December 27, 2019): 218–31. http://dx.doi.org/10.37069/1683-4720-2019-33-17.

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In the article we found the solvability conditions and the construction of the generalized Green operator of the linear Noetherian matrix differential-algebraic boundary value problem. We obtained sufficient conditions of transformationsof the matrix differential-algebraic equation to a traditional differential-algebraic equation with an unknown in the form of a column vector. The problem that reviewed in the article continues the study of solvability conditions for the linear Noetherian boundary value problems given in the monographs of M.V. Azbelev, V.P. Maksimov, L.F. Rakhmatullina, A.M. Sa
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28

Grigoraş, Carmen, and Victor Grigoraş. "Multiple Algebraic Function Nonlinear Systems." Bulletin of the Polytechnic Institute of Iași. Electrical Engineering, Power Engineering, Electronics Section 69, no. 2 (2023): 57–69. http://dx.doi.org/10.2478/bipie-2023-0009.

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Abstract In order to obtain a more complex dynamic behaviour for a nonlinear system several methods were used, including higher order design, system parameters variation and connecting analogue and discrete subsystems. The present paper analyses an approach to generate wide bandwidth signals by connecting three elementary algebraic building blocks to obtain a more complex non-linear function to be included in the analogue dynamic system. The resulting non-linear system attractor is presented, its Poincare section is analysed and statistical numerical simulations results are shown to highlight
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29

Thota, Srinivasarao. "On Solving System of Linear Differential-Algebraic Equations Using Reduction Algorithm." International Journal of Mathematics and Mathematical Sciences 2020 (December 16, 2020): 1–10. http://dx.doi.org/10.1155/2020/6671926.

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In this paper, we present a new reduction algorithm for solving system of linear differential-algebraic equations with power series coefficients. In the proposed algorithm, we transform the given system of differential-algebraic equations into another simple equivalent system using the elementary algebraic techniques. This algorithm would help to implement the manual calculations in commercial packages such as Mathematica, Maple, MATLAB, Singular, and Scilab. Maple implementation of the proposed algorithm is discussed, and sample computations are presented to illustrate the proposed algorithm.
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30

Jibetean, Dorina, and Jan H. van Schuppen. "An Algebraic Method for System Reduction of Stationary Gaussian Systems." IFAC Proceedings Volumes 36, no. 16 (2003): 1879–84. http://dx.doi.org/10.1016/s1474-6670(17)35034-6.

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31

Berghammer, Rudolf, and Thorsten Hoffmann. "Modeling Sequences within the RelView System." JUCS - Journal of Universal Computer Science 7, no. (2) (2001): 107–23. https://doi.org/10.3217/jucs-007-02-0107.

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We use a relational characterization of binary direct sums to model sequences within the relation-algebraic manipulation and prototyping system RelView in a simple way. As an application we formally derive a RelView program for computing equivalence classes of an equivalence relation, where we combine relation-algebraic calculations with the so-called Dijkstra-Gries program development method. Also a refinement of the simple modeling is presented, which leads to the classical datatype of stacks, and a further application is sketched.
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32

An, Xiaogang, Xiaohong Zhang, and Yingcang Ma. "Generalized Abel-Grassmann’s Neutrosophic Extended Triplet Loop." Mathematics 7, no. 12 (2019): 1206. http://dx.doi.org/10.3390/math7121206.

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A group is an algebraic system that characterizes symmetry. As a generalization of the concept of a group, semigroups and various non-associative groupoids can be considered as algebraic abstractions of generalized symmetry. In this paper, the notion of generalized Abel-Grassmann’s neutrosophic extended triplet loop (GAG-NET-Loop) is proposed and some properties are discussed. In particular, the following conclusions are strictly proved: (1) an algebraic system is an AG-NET-Loop if and only if it is a strong inverse AG-groupoid; (2) an algebraic system is a GAG-NET-Loop if and only if it is a
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33

Muhafzan. "Positive Stabilization of Linear Differential Algebraic Equation System." International Journal of Differential Equations 2016 (2016): 1–3. http://dx.doi.org/10.1155/2016/6346780.

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We study in this paper the existence of a feedback for linear differential algebraic equation system such that the closed-loop system is positive and stable. A necessary and sufficient condition for such existence has been established. This result can be used to detect the existence of a state feedback law that makes the linear differential algebraic equation system in closed loop positive and stable.
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34

Kawala, A. M., and H. K. Abdelaziz. "Comparison Between Numerical Methods for Generalized Zakharov system." International Journal of Mathematical Models and Methods in Applied Sciences 15 (December 7, 2021): 215–22. http://dx.doi.org/10.46300/9101.2021.15.28.

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We present two numerical methods to get approximate solutions for generalized Zakharov system GZS. The first one is Legendre collocation method, which assumes an expansion in a series of Legendre polynomials , for the function and its derivatives occurring in the GZS, the expansion coefficients are then determined by reducing the problem to a system of algebraic equations. The second is differential transform method DTM , it is a transformation technique based on the Taylor series expansion. In this method, certain transformation rules are applied to transform the problem into a set of algebra
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35

Nikitin, A. Yu. "Radicals of systems of equations over strict total orders." Herald of Omsk University 24, no. 4 (2019): 4–8. http://dx.doi.org/10.24147/1812-3996.2019.24(4).4-8.

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In the last 20 years, the so-called universal algebraic geometry has been actively developed, in which systems of equations over arbitrary algebraic systems are studied. Some of the most important algebraic systems are partially ordered sets and graphs. This article attempts to construct algebraic geometry for strict partially ordered sets. The problem of determining the radical of system of equations is that solutions' set of the system can specify additional relationships on variables that aren't in the original system. The article explores such systems of equations and such finite strict to
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36

Kabidenov, A., A. Kasatova, M. I. Bekenov, and N. D. Markhabatov. "Model companion properties of some theories." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 114, no. 2 (2024): 114–23. http://dx.doi.org/10.31489/2024m2/114-123.

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The class K of algebraic systems of signature σ is called a formula-definable class if there exists an algebraic system A of signature σ such that for any algebraic system B of signature σ it is B ∈ K if and only if Th(B) · Th(A) = Th(A). The paper shows that the formula-definable class of algebraic systems is idempotently formula-definable and is an axiomatizable class of algebraic systems. Any variety of algebraic systems is an idempotently formula-definite class. If the class K of all existentially closed algebraic systems of a theory T is formula-definable, then a theory of the class K is
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37

DrÄ…g, PaweĹ‚, Krystyn StyczeĹ„, and Konrad Matyja. "A CAMERA-BASED MEASUREMENT SYSTEM FOR OPTIMIZATION OF DIFFERENTIAL-ALGEBRAIC ECOTOXICOLOGICAL MODELS." CBU International Conference Proceedings 5 (September 24, 2017): 1078–82. http://dx.doi.org/10.12955/cbup.v5.1074.

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We present a general framework for measurements and optimization of differential-algebraic models. Moreover, we propose an application of the considered methodology in ecotoxicology. The differential-algebraic models can be used to describe different ecotoxicological relations. One of them is the influence of the environmental pollution on the Daphnia's movement characteristics. Changes in these characteristics can be used as a tool for assessment of neurotoxicity. The camera-based measurement and optimization system enable us to obtain the differential-algebraic ecotoxicological relations in
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38

Xin, X. L., F. H. Xiao, and X. F. Yang. "L-fuzzy algebraic substructure." Journal of Algebraic Hyperstructures and Logical Algebras 4, no. 2 (2023): 17–35. http://dx.doi.org/10.61838/kman.jahla.4.2.2.

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This article aims to provide a method for defining L-fuzzy algebraic substructures on general algebras. Concretely, the properties of L-fuzzy sets are first reviewed, and their representations are then provided. Next, algebraic substructures are generalised as the closure systems on the power set of the algebra, and the properties of the prime and maximal elements in the above closure system are investigated. Based on these facts, L-fuzzy algebraic substructures with respect to the closure system are defined and studied. Two equivalence characterisations of the sup property of the ordered set
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39

Tuljaram Meghwar, Sher khan Awan, Muhammad Tariq, Muhammad Suleman, and Asif Ali Shaikh. "Substitutional Based Gauss-Seidel Method For Solving System of Linear Algebraic Equations." Babylonian Journal of Mathematics 2024 (January 10, 2024): 1–12. http://dx.doi.org/10.58496/bjm/2024/001.

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In this research paper a new modification of Gauss-Seidel method has been presented for solving the system of linear algebraic equations. The systems of linear algebraic equations have an important role in the field of science and engineering. This modification has been developed by using the procedure of Gauss-Seidel method and the concept of substitution techniques. Developed modification of Gauss-Seidel method is a fast convergent as compared to Gauss Jacobi’s method, Gauss-Seidel method and successive over-relaxation (SOR) method. It works on the diagonally dominant as well as positive def
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40

Diop, S., and Y. Aït-Amirat. "On a differential algebraic system structure theory." IFAC Proceedings Volumes 46, no. 2 (2013): 290–95. http://dx.doi.org/10.3182/20130204-3-fr-2033.00204.

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41

Ivaschenko, E. A., and V. G. Skobelev. "PRESENTATION OF CRYPTOSYSTEMS VIA POLYBASIC ALGEBRAIC SYSTEM." Prikladnaya diskretnaya matematika, no. 2 (December 1, 2008): 33–38. http://dx.doi.org/10.17223/20710410/2/8.

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42

Jing, YANG, TAN Wenhui, and WEI Zhouchao. "Invariant Algebraic Surfaces of the Vallis System." 应用数学和力学 43, no. 1 (2022): 84–93. http://dx.doi.org/10.21656/1000-0887.420112.

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43

Kahramanlı, Ş., and N. Allahverdi. "Algebraic Approach to Transformations on Hypercube System." Mathematical and Computational Applications 1, no. 1 (1996): 50–59. http://dx.doi.org/10.3390/mca1010050.

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44

Beran, Zdeněk, and Sergej Čelikovský. "Analytical-Algebraic Approach to Solving Chaotic System." International Journal of Bifurcation and Chaos 26, no. 03 (2016): 1650051. http://dx.doi.org/10.1142/s0218127416500516.

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The aim of this paper is to present the application of the analytical series technique to study properties of the nonlinear chaotic dynamical systems. More specifically, Laplace–Adomian decomposition method is applied to Rössler system and the so-called generalized Lorenz system. Some advantages and possible applications of this approach are discussed. Results are illustrated by numerical computations.
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45

Krutitskii, P. A., and V. V. Kolybasova. "Numerical method for an integral-algebraic system." Differential Equations 53, no. 10 (2017): 1364–71. http://dx.doi.org/10.1134/s0012266117100135.

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46

Sabadni, Irene, Michael V. Shapiro, and Daniele C. Struppa. "Algebraic analysis of the moisil—theodorescu system." Complex Variables, Theory and Application: An International Journal 40, no. 4 (2000): 333–57. http://dx.doi.org/10.1080/17476930008815227.

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47

Llibre, Jaume, and Xiang Zhang. "Invariant algebraic surfaces of the Rikitake system." Journal of Physics A: Mathematical and General 33, no. 42 (2000): 7613–35. http://dx.doi.org/10.1088/0305-4470/33/42/310.

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48

Berdjag, D., C. Christophe, and V. Cocquempot. "AN ALGEBRAIC METHOD FOR NONLINEAR SYSTEM DECOMPOSITION." IFAC Proceedings Volumes 39, no. 13 (2006): 48–53. http://dx.doi.org/10.3182/20060829-4-cn-2909.00007.

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49

Nett, C. "Algebraic aspects of linear control system stability." IEEE Transactions on Automatic Control 31, no. 10 (1986): 941–49. http://dx.doi.org/10.1109/tac.1986.1104137.

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Rachmaputri, Gantina. "Algebraic structure of the anti-causal system." Journal of Physics: Conference Series 890 (September 2017): 012122. http://dx.doi.org/10.1088/1742-6596/890/1/012122.

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