Academic literature on the topic 'Algebraic law'

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Journal articles on the topic "Algebraic law"

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Nowak, Piotr, and Olgierd Hryniewicz. "On MV-Algebraic Versions of the Strong Law of Large Numbers." Entropy 21, no. 7 (2019): 710. http://dx.doi.org/10.3390/e21070710.

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Many-valued (MV; the many-valued logics considered by Łukasiewicz)-algebras are algebraic systems that generalize Boolean algebras. The MV-algebraic probability theory involves the notions of the state and observable, which abstract the probability measure and the random variable, both considered in the Kolmogorov probability theory. Within the MV-algebraic probability theory, many important theorems (such as various versions of the central limit theorem or the individual ergodic theorem) have been recently studied and proven. In particular, the counterpart of the Kolmogorov strong law of larg
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Radisavljevic, V., and H. Baruh. "Pointwise Optimal Control of Dynamical Systems Described by Constrained Coordinates." Journal of Dynamic Systems, Measurement, and Control 121, no. 4 (1999): 594–98. http://dx.doi.org/10.1115/1.2802521.

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A feedback control law is developed for dynamical systems described by constrained generalized coordinates. For certain complex dynamical systems, it is more desirable to develop the mathematical model using more general coordinates then degrees of freedom which leads to differential-algebraic equations of motion. Research in the last few decades has led to several advances in the treatment and in obtaining the solution of differential-algebraic equations. We take advantage of these advances and introduce the differential-algebraic equations and dependent generalized coordinate formulation to
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Schlather, Achim, and Martin Schlather. "Depicting Falsifiability in Algebraic Modelling." J 8, no. 3 (2025): 23. https://doi.org/10.3390/j8030023.

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This paper investigates how algebraic structures can encode epistemic limitations, with a focus on object properties and measurement. Drawing from philosophical concepts such as underdetermination, we argue that the weakening of algebraic laws can reflect foundational ambiguities in empirical access. Our approach supplies instruments that are necessary and sufficient towards practical falsifiability. Besides introducing this new concept, we consider, exemplarily and as a starting point, the following two fundamental algebraic laws in more detail: the associative law and the commutative law. We
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Sun, Yi, Ben Yong Chen, and Jing Li Fu. "Lie Algebraic Structure and Poisson Conservation Law for One Class of Multi-Dimensional Coupled Oscillators." Applied Mechanics and Materials 597 (July 2014): 388–92. http://dx.doi.org/10.4028/www.scientific.net/amm.597.388.

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This paper researches Lie algebraic structure and Poisson conservation law for one class of multi-dimensional coupled oscillators. The equations of motion are established, and the coupled terms in the equations of motion are eliminated by introducing normal transformations. The Lie algebraic structure and Poisson conservation law are given. Finally, an example is given to illustrate the results.
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Gaggioli, R. A., and Y. M. El-Sayed. "A Critical Review of Second Law Costing Methods—II: Calculus Procedures." Journal of Energy Resources Technology 111, no. 1 (1989): 8–15. http://dx.doi.org/10.1115/1.3231402.

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The following article completes the review of the development and state of engineering economic applications of the Second Law of Thermodynamics, which was begun in Part I (El-Sayed and Gaggioli, 1989). We began with a historical review, followed by a brief discussion of the relevant cost accounting concepts and, in turn, general descriptions of the different exergy costing methods which are in existence. Then, the various algebraic techniques of exergy costing were analyzed and critiqued, generally by considering successive publications developing and/or based on a technique. This paper, on t
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Lindahl, Lars, and Jan Odelstad. "An Algebraic Analysis of Normative Systems." Ratio Juris 13, no. 3 (2000): 261–78. http://dx.doi.org/10.1111/1467-9337.00155.

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Bernatska, Julia. "Abelian Function Fields on Jacobian Varieties." Axioms 14, no. 2 (2025): 90. https://doi.org/10.3390/axioms14020090.

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The aim of this paper is an exposition of fields of multiply periodic, or Kleinian, ℘-functions. Such a field arises on the Jacobian variety of an algebraic curve, providing natural algebraic models for the Jacobian and Kummer varieties, possessing the addition law, and accommodating dynamical equations with solutions. All of this will be explained in detail for plane algebraic curves in their canonical forms. Examples of hyperelliptic and non-hyperelliptic curves are presented.
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Letychevskyi, O. O., V. S. Peschanenko, and M. Yu Poltorackiy. "Algebraic approach to the analysis of legal documents." PROBLEMS IN PROGRAMMING, no. 3-4 (December 2022): 117–27. http://dx.doi.org/10.15407/pp2022.03-04.117.

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In this study, problems regarding the analysis of law articles and their conformance to legal documents are considered. The algebraic approach is used for the formal verification of legal texts that is presented as specification of behavior algebra. Having a formal presen- tation of legal texts allows for the application of algebraic methods, such as symbolic modeling, automatic proving of statements and algebraic matching. The approach was implemented for Ukrainian-language legal documents to detect inconsistency, incompleteness, and prove conformance. The analysis of legal texts has been imp
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Milosevic, Jovana. "Hartwig’s triple reverse order law in C*-algebras." Filomat 32, no. 12 (2018): 4229–32. http://dx.doi.org/10.2298/fil1812229m.

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In this paper Hartwig?s triple reverse order law for the Moore-Penrose inverse is proved for C*-algebras. A very simple algebraic proof for Hartwig?s triple reverse order law for operators on Hilbert spaces is given.
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Kotsios, Stelios. "Feedback Control Techniques for a Discrete Dynamic Macroeconomic Model with Extra Taxation: An Algebraic Algorithmic Approach." Mathematics 11, no. 19 (2023): 4213. http://dx.doi.org/10.3390/math11194213.

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In this paper, a model matching feedback law design technique is applied to a macroeconomical model. We calculate, using computational algebra methodology, which paths of government expenditure and extra taxation will lead the system to a desired dynamic behavior. The solution is based on algebraic methods and the development, in computer algebra software, of appropriate symbolic algorithms that produce a class of feedback laws as solutions. A method for solving a linear algebraic system of polynomials equations is provided, as well as its application to the feedback law design.
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Dissertations / Theses on the topic "Algebraic law"

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Gandhi, Raj. "Oriented Cohomology Rings of the Semisimple Linear Algebraic Groups of Ranks 1 and 2." Thesis, Université d'Ottawa / University of Ottawa, 2021. http://hdl.handle.net/10393/42566.

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In this thesis, we compute minimal presentations in terms of generators and relations for the oriented cohomology rings of several semisimple linear algebraic groups of ranks 1 and 2 over algebraically closed fields of characteristic 0. The main tools we use in this thesis are the combinatorics of Coxeter groups and formal group laws, and recent results of Calm\`es, Gille, Petrov, Zainoulline, and Zhong, which relate the oriented cohomology rings of flag varieties and semisimple linear algebraic groups to the dual of the formal affine Demazure algebra.
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Trotta, Davide. "Existential completion and pseudo-distributive laws: an algebraic approach to the completion of doctrines." Doctoral thesis, Università degli studi di Trento, 2019. http://hdl.handle.net/11572/247200.

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The main purpose of this thesis is to combine the categorical approach to logic given by the study of doctrines, with the universal algebraic techniques given by the theory of the pseudo-monads and pseudo-distributive laws. Every completions of doctrines is then formalized by a pseudo-monad, and then combinations of these are studied by the analysis of the pseudo-distributive laws. The starting point are the works of Maietti and Rosolini, in which they describe three completions for elementary doctrines: the first which adds full comprehensions, the second comprehensive diagonals, and the thir
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Trotta, Davide. "Existential completion and pseudo-distributive laws: an algebraic approach to the completion of doctrines." Doctoral thesis, Università degli studi di Trento, 2019. http://hdl.handle.net/11572/247200.

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The main purpose of this thesis is to combine the categorical approach to logic given by the study of doctrines, with the universal algebraic techniques given by the theory of the pseudo-monads and pseudo-distributive laws. Every completions of doctrines is then formalized by a pseudo-monad, and then combinations of these are studied by the analysis of the pseudo-distributive laws. The starting point are the works of Maietti and Rosolini, in which they describe three completions for elementary doctrines: the first which adds full comprehensions, the second comprehensive diagonals, and the thir
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Ysique, Quesquén Alan. "Dinámica de las líneas de curvatura." Master's thesis, Pontificia Universidad Católica del Perú, 2015. http://tesis.pucp.edu.pe/repositorio/handle/123456789/7460.

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Se estudian las líneas de curvatura de superficies compactas, orientables y conexas del espacio euclidiano. La estrategia consiste en usar las ideas de la Estabilidad Estructural y dar condiciones suficientes para la estabilidad de las líneas de curvatura cuando la superficie se perturba en la topología C3. Para tal efecto se estudia los puntos umbílicos Darbouxiano y sus separatrices, al igual que los ciclos hiperbólicos. La estructura de las líneas principales cerca de estos puntos será establecida, reduciendo su análisis a los puntos hiperbólicos singulares de los campos de Línea en el plan
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Dihego, da Silva Oliveira Jose. "Algebraic laws for process subtyping." Universidade Federal de Pernambuco, 2011. https://repositorio.ufpe.br/handle/123456789/2660.

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Made available in DSpace on 2014-06-12T16:00:02Z (GMT). No. of bitstreams: 2 arquivo5819_1.pdf: 1022780 bytes, checksum: 817e10825cb544dad97eed36627fdd51 (MD5) license.txt: 1748 bytes, checksum: 8a4605be74aa9ea9d79846c1fba20a33 (MD5) Previous issue date: 2011<br>Conselho Nacional de Desenvolvimento Científico e Tecnológico<br>Uma abordagem formal e crucial na especificação e desenvolvimento de sistemas complexos. Inspirado pela engenharia, o desenvolvimento de software deve preterir a abordagem empirica e seguir uma abordagem estruturada, formal, passível de repetição e prova face ao adve
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PALMA, Giovanny Fernando Lucero. "Algebraic laws for object oriented programming with references." Universidade Federal de Pernambuco, 2015. https://repositorio.ufpe.br/handle/123456789/14930.

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Submitted by Isaac Francisco de Souza Dias (isaac.souzadias@ufpe.br) on 2016-01-19T17:04:34Z No. of bitstreams: 2 license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) GIovannyTesis.pdf: 1126817 bytes, checksum: 54a975f083d8ea416057bffa468c281c (MD5)<br>Made available in DSpace on 2016-01-19T17:04:34Z (GMT). No. of bitstreams: 2 license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) GIovannyTesis.pdf: 1126817 bytes, checksum: 54a975f083d8ea416057bffa468c281c (MD5) Previous issue date: 2015-03-16<br>CAPES<br>CNPq<br>There are several approaches to
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Ruffo, James Vincent. "A straightening law for the Drinfel'd Lagrangian Grassmannian." Thesis, [College Station, Tex. : Texas A&M University, 2007. http://hdl.handle.net/1969.1/ETD-TAMU-1550.

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Rajaona, Solofomampionona Fortunat. "An algebraic framework for reasoning about security." Thesis, Stellenbosch : Stellenbosch University, 2013. http://hdl.handle.net/10019/9983.

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Thesis (MSc)--Stellenbosch University, 2013.<br>ENGLISH ABSTRACT: Stepwise development of a program using refinement ensures that the program correctly implements its requirements. The specification of a system is “refined” incrementally to derive an implementable program. The programming space includes both specifications and implementable code, and is ordered with the refinement relation which obeys some mathematical laws. Morgan proposed a modification of this “classical” refinement for systems where the confidentiality of some information is critical. Programs distinguish between “hi
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Ahlman, Ove. "A zero-one law for l-colourable structures with a vectorspace pregeometry." Thesis, Uppsala universitet, Algebra och geometri, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-168215.

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Lan, Guitang [Verfasser]. "Periodic Higgs-de Rham flows and representations of algebraic fundamental groups / Guitang Lan." Mainz : Universitätsbibliothek Mainz, 2014. http://d-nb.info/1053544936/34.

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Books on the topic "Algebraic law"

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Masayoshi, Nagata. Theory of commutative fields. American Mathematical Society, 1993.

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Roe, John. Winding around: The winding number in topology, geometry, and analysis. American Mathematical Society, 2015.

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Alonso, Luciano Couder. Teora de ecuaciones algebraicas. Limusa, 1998.

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Díaz, F. J. Díaz. Homotopía algebraica: Descripción e interrelación de las principales teorías. Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, 1994.

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Session, Ring Theory. Ring theory and its applications: Ring Theory Session in honor of T.Y. Lam on his 70th birthday at the 31st Ohio State-Denison Mathematics Conference, May 25-27, 2012, The Ohio State University, Columbus, OH. Edited by Lam, T. Y. (Tsit-Yuen), 1942- honouree, Huynh, Dinh Van, 1947- editor of compilation, and Ohio State-Denison Mathematics Conference. American Mathematical Society, 2014.

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Coma, Josep Rifà i. Comunicación digital: Teoría matemática de la información, codificación algebraica, criptología. Masson, 1991.

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Prodromos, Daoutidis, ed. Control of nonlinear differential algebraic equation systems: With applications to chemical processes. Chapman & Hall/CRC, 1999.

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de Armas Costa, Ricardo Joaquín, and Miryan Trujillo Cedeño, eds. Introducción al modelado matemático con MatLab. Universidad de La Salle. Ediciones Unisalle, 2017. http://dx.doi.org/10.19052/9789585400429.

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Introducción al Matlab es producto del trabajo de aula y la constante reflexión en tono a los procesos de enseñanza-aprendizaje en el área de matemáticas, realizada por los autores. El objetivo de esta obra es orientar a los profesores de matemáticas en procesos didácticos para la construcción de conceptos básicos del cálculo, desde el tránsito de distintos registros de representación. Se ofrece a los estudiantes una metodología para potenciar las habilidades de modelado matemático que contribuyan al aprendizaje de tipo estratégico como fundamento del trabajo científico. Las actividades de mod
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A, Vasilʹev V. Complements of discriminants of smooth maps: Topology and applications. American Mathematical Society, 1994.

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Bárcenas, Noé, and Monica Moreno Rocha. Mexican mathematicians abroad: Recent contributions : first workshop, Matematicos Mexicanos Jovenes en el Mundo, August 22-24, 2012, Centro de Investigacion en Matematicas, A.C., Guanajuato, Mexico. Edited by Galaz-García Fernando editor. American Mathematical Society, 2016.

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Book chapters on the topic "Algebraic law"

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Gindikin, S. G. "Law of Duality in Algebraic Logic." In Algebraic Logic. Springer New York, 1985. http://dx.doi.org/10.1007/978-1-4757-1877-5_3.

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Cvetković Ilić, Dragana S., and Yimin Wei. "Reverse Order Law." In Algebraic Properties of Generalized Inverses. Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-6349-7_2.

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Ono, Takashi. "To the Gauss Reciprocity Law." In An Introduction to Algebraic Number Theory. Springer US, 1990. http://dx.doi.org/10.1007/978-1-4613-0573-6_1.

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Zelditch, Steve, and Peng Zhou. "Pointwise Weyl Law for Partial Bergman Kernels." In Algebraic and Analytic Microlocal Analysis. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01588-6_13.

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Newman, M. F. "Some group presentations and enforcing the associative law." In Algebraic Algorithms and Error-Correcting Codes. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/3-540-16776-5_726.

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Hilbert, David. "The l-th Power Reciprocity Law in Regular Cyclotomic Fields." In The Theory of Algebraic Number Fields. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-03545-0_33.

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Bonchi, Filippo, and Alessio Santamaria. "Combining Semilattices and Semimodules." In Lecture Notes in Computer Science. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-71995-1_6.

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AbstractWe describe the canonical weak distributive law $$\delta :\mathcal S\mathcal P\rightarrow \mathcal P\mathcal S$$ δ : S P → P S of the powerset monad $$\mathcal P$$ P over the S-left-semimodule monad $$\mathcal S$$ S , for a class of semirings S. We show that the composition of $$\mathcal P$$ P with $$\mathcal S$$ S by means of such $$\delta $$ δ yields almost the monad of convex subsets previously introduced by Jacobs: the only difference consists in the absence in Jacobs’s monad of the empty convex set. We provide a handy characterisation of the canonical weak lifting of $$\mathcal P$
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Monaco, S., and S. Stornelli. "A Nonlinear Feedback Control Law for Attitude Control." In Algebraic and Geometric Methods in Nonlinear Control Theory. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4706-1_29.

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De Paula, Renato, and Chiara Franceschini. "Porous Medium Model: An Algebraic Perspective and the Fick’s Law." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69784-6_10.

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Hilbert, David. "The Reciprocity Law for l-th Power Residues Between a Rational Number and a Number in the Field of l-th Roots of Unity." In The Theory of Algebraic Number Fields. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-03545-0_25.

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Conference papers on the topic "Algebraic law"

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Málik, Róbert, Miroslav Halás, Marián Tárník, Kristína Okienková, Jana Paulusová, and Alena Hupcejová. "Tube-Based Model Predictive Control with a Complementary Control Law Based on Algebraic Methods." In 2025 26th International Carpathian Control Conference (ICCC). IEEE, 2025. https://doi.org/10.1109/iccc65605.2025.11022833.

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Adeyemo, Samuel, and Debangsu Bhattacharyya. "Development of Mass/Energy Constrained Sparse Bayesian Surrogate Models from Noisy Data." In Foundations of Computer-Aided Process Design. PSE Press, 2024. http://dx.doi.org/10.69997/sct.101946.

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This paper presents an algorithm for developing sparse surrogate models that satisfy mass/energy conservation even when the training data are noisy and violate the conservation laws. In the first step, we employ the Bayesian Identification of Dynamic Sparse Algebraic Model (BIDSAM) algorithm proposed in our previous work to obtain a set of hierarchically ranked sparse models which approximate system behaviors with linear combinations of a set of well-defined basis functions. Although the model building algorithm was shown to be robust to noisy data, conservation laws may not be satisfied by th
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Schroer, Bert. "Algebraic QFT and the area law for entropy of localized quantum matter." In Fifth International Conference on Mathematical Methods in Physics. Sissa Medialab, 2007. http://dx.doi.org/10.22323/1.031.0027.

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Adiguzel, E., and H. Oz. "Controllability and observability of algebraic equations of motion by Hamilton's Law of Varying Action." In Guidance, Navigation, and Control Conference. American Institute of Aeronautics and Astronautics, 1994. http://dx.doi.org/10.2514/6.1994-3584.

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Leine, Remco I., and Christoph Glocker. "A Set-Valued Force Law for Spatial Coulomb-Contensou Friction." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48426.

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The aim of this paper is to develop a contact law for combined spatial Coulomb friction and normal friction torque (drilling friction) as a function of sliding velocity and spin. We will call this extended contact law the Coulomb-Contensou friction law and derive it from a non-smooth velocity pseudo potential. A Runge-Kutta time-stepping method is briefly presented for the numerical simulation of rigid bodies with Coulomb-Contensou friction. The algebraic inclusion describing the contact problem is solved with an Augmented Lagrangian approach. The theory and numerical methods are applied to th
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CHAMPETIER, C., J. MAGNI, and P. APKARIAN. "Algebraic loop transfer recovery - An application to the design of ahelicopter output feedback control law." In Guidance, Navigation and Control Conference. American Institute of Aeronautics and Astronautics, 1989. http://dx.doi.org/10.2514/6.1989-3579.

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Fomin, Sergei, and Richard Hubbard. "Rimming Flow of a Power-Law Fluid: Qualitative Analysis of the Mathematical Model." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-16246.

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Rimming flow of the non-Newtonian fluid on the inner surface of a horizontal rotating cylinder is investigated. Simple lubrication theory is applied since the Reynolds number is small and liquid film is thin. For the steady-state flow of a power-law fluid the mathematical model reduces to a simple algebraic equation regarding the thickness of the liquid film. The qualitative analysis of this equation is carried out and the existence of two possible solutions is rigorously proved. Based on this analysis qualitative analysis, different regimes of the rimming flow are defined and analyzed analyti
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Zargar, Yasir S., and Kambiz Farhang. "An Algorithm for Systematic Generation of Subscales With Application to a Two-Disk Friction System." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4166.

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Abstract In this paper we propound an algorithm for development of scale models of complex physical systems. The algorithm systematically treats the three sub-tasks of scaling, which includes creation of dimensionless parameters, application of scaling law and similitude requirements, and determination of scale factors. Optimum set of dimensionless parameters are obtained in which the pertinent variables with only integer powers appear. This is achieved by seeking integer solutions to appropriate set of linear algebraic equations in the powers, using a simple iterative technique. Application o
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Sprouse, Charles E., Michael D. Mangus, and Christopher D. Depcik. "Diesel Particulate Filter Model With Detailed Permeability Analysis." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-63687.

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Recent legislation of engine exhaust Particulate Matter (PM) emission levels cannot be met with in-cylinder PM reduction techniques, thus resulting in the need for a Diesel Particulate Filter (DPF). Modern DPFs use a honeycomb of long channels with porous walls in order to filter PM with near 100% efficiency. They must be designed to balance trapping efficiency and pressure drop, as flow restriction decreases engine efficiency. This paper describes the construction of two Matlab models in order to predict properties within the filter. Two methods for simultaneously solving the differential con
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Chen, Gangli, Xiaoting Rui, Yuanyuan Ding, and Hanjing Lu. "Active Vibration Control Design of Multi-Rigid-Flexible-Body Systems Based on Transfer Matrix Method for Multibody Systems." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85779.

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A new approach for active vibration control design of multi-rigid-flexible-body systems based on transfer matrix method for multibody systems (MSTMM) is presented in this paper. The vibration characteristics are computed by solving homogeneous linear algebraic equations. Then, the augmented eigenvector and body dynamics equation are adopted to derive the state space representation by combining modal superposition method. Furthermore, Linear Quadratic Gaussian (LQG) control strategy is employed to design the control law. Compared with the conventional methods, the proposed method has the follow
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Reports on the topic "Algebraic law"

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Gómez Lozano, Alberto. La integral directa. Ediciones Universidad Cooperativa de Colombia, 2022. http://dx.doi.org/10.16925/gcnc.30.

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Este documento facilita el aprendizaje de la integral directa, utilizando las tablas de integración para la solución de ella. Es necesario contar con los conocimientos previos del álgebra como operaciones básicas con expresiones algebraicas, factorización, las reglas de derivación, etc. Los conceptos por desarrollar empiezan con exponentes y radicales, factorización y la integral directa; por consiguiente, es un documento que nos sirve para afianzar el desarrollo de la integral directa, para resolver problemas básicos y tener las bases matemáticas para desarrollar situaciones complejas durante
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Gerdjikov, Vladimir, and Georgi Grahovski. Second Order Reductions of N-Wave Interactions Related to Low-rank Simple Lie Algebras. GIQ, 2012. http://dx.doi.org/10.7546/giq-1-2000-55-77.

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Gómez Losano, Alberto. Notas sobre lógica matemática 2. Ediciones Universidad Cooperativa de Colombia, 2023. http://dx.doi.org/10.16925/gcnc.78.

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La lógica matemática es la ciencia que se ocupa de los métodos de razonamiento mediante el suministro de reglas y técnicas que permiten decidir si un argumento o una deducción es correcta. Por consiguiente, esta nota de clase relaciona los diferentes esquemas de aprendizaje para que el estudiante de Ingeniería adquiera estructuras cognitivas y las pueda relacionar con las otras áreas del conocimiento. El documento trata de los elementos básicos, conceptos, reglas y técnicas para determinar si un argumento matemático es válido. Es fundamental conocer y manejar los conceptos de conjuntos numéric
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