Relevant bibliographies by topics / Comparison Algebra

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Comparison Algebra'

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Published: 4 June 2021
Last updated: 13 February 2022

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Journal articles on the topic "Comparison Algebra"

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Fang, Xiaochun, Nung-Sing Sze, and Xiao-Ming Xu. "The Cuntz Comparison in the StandardC*-Algebra." Abstract and Applied Analysis 2014 (2014): 1–4. http://dx.doi.org/10.1155/2014/623520.

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The Cuntz comparison, introduced by Cuntz in early 1978, associates eachC*-algebra with an abelian semigroup which is an invariant for the classification of the nuclearC*-algebras and called the Cuntz semigroup. In this paper, we study the Cuntz comparison in the standardC*-algebra. We characterize the Cuntz comparison in terms of the dimension of the operator range. Also, we consider the structure of the semilinear map which preserves the Cuntz comparison.
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Gerima Tefera, Dejen. "Hilbert Implication Algebra and Some Properties." Journal of Applied Mathematics 2021 (July 20, 2021): 1–5. http://dx.doi.org/10.1155/2021/3635185.

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The concepts of Hilbert implication algebra and generalized Hilbert implication algebra are introduced. The comparison theorem of Hilbert implication algebra and generalized Hilbert implication algebra is proved. In addition, the idea of groupoid and commutative Hilbert implication algebras is investigated. Ideals and filters in Hilbert implication algebras are also discussed. In general, different theorems which show different properties are proved.
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Star, Jon R., Courtney Pollack, Kelley Durkin, et al. "Learning from comparison in algebra." Contemporary Educational Psychology 40 (January 2015): 41–54. http://dx.doi.org/10.1016/j.cedpsych.2014.05.005.

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Dziobiak, Wieslaw. "The subvariety lattice of the variety of distributive double p-algebras." Bulletin of the Australian Mathematical Society 31, no. 3 (1985): 377–87. http://dx.doi.org/10.1017/s0004972700009345.

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Let L denote the subvariety lattice of the variety of distributive double p-algebras, that is, the lattice whose universe consists of all varieties of distributive double p-algebras and whose ordering is the inclusion relation. We prove in this paper that each proper filter in L is uncountable. Moreover, we prove that except for the trivial variety (the zero in L) and the variety of Boolean algebras (the unique atom in L) every other element of L, generated by a finite algebra, has infinitely many covers in L, among which at least one is not generated by any finite algebra. The former result s
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Toën, Bertrand, and Gabriele Vezzosi. "Algèbres simplicialesS1-équivariantes, théorie de de Rham et théorèmes HKR multiplicatifs." Compositio Mathematica 147, no. 6 (2011): 1979–2000. http://dx.doi.org/10.1112/s0010437x11005501.

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AbstractThis work establishes a comparison between functions on derived loop spaces (Toën and Vezzosi,Chern character, loop spaces and derived algebraic geometry, inAlgebraic topology: the Abel symposium 2007, Abel Symposia, vol. 4, eds N. Baas, E. M. Friedlander, B. Jahren and P. A. Østvær (Springer, 2009), ISBN:978-3-642-01199-3) and de Rham theory. IfAis a smooth commutativek-algebra andkhas characteristic 0, we show that two objects,S1⊗Aand ϵ(A), determine one another, functorially inA. The objectS1⊗Ais theS1-equivariant simplicialk-algebra obtained by tensoringAby the simplicial groupS1:=
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Elsner, L., and P. van den Driessche. "Max-algebra and pairwise comparison matrices." Linear Algebra and its Applications 385 (July 2004): 47–62. http://dx.doi.org/10.1016/s0024-3795(03)00476-2.

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Bosa, Joan, and Henning Petzka. "Comparison Properties of the Cuntz Semigroup and Applications to C* -algebras." Canadian Journal of Mathematics 70, no. 1 (2018): 26–52. http://dx.doi.org/10.4153/cjm-2016-049-8.

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AbstractWe study comparison properties in the category Cu aiming to lift results to the C* -algebraic setting. We introduce a new comparison property and relate it to both the corona factorization property (CFP) and ω-comparison. We show differences of all properties by providing examples that suggest that the corona factorization for C* -algebras might allow for both finite and infinite projections. In addition, we show that Rørdam's simple, nuclear C* -algebra with a finite and an inifnite projection does not have the CFP.
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Jaíyéọlá, Tèmítọ́pẹ́, Emmanuel Ilojide, Memudu Olatinwo, and Florentin Smarandache. "On the Classification of Bol-Moufang Type of Some Varieties of Quasi Neutrosophic Triplet Loop (Fenyves BCI-Algebras)." Symmetry 10, no. 10 (2018): 427. http://dx.doi.org/10.3390/sym10100427.

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In this paper, Bol-Moufang types of a particular quasi neutrosophic triplet loop (BCI-algebra), chritened Fenyves BCI-algebras are introduced and studied. 60 Fenyves BCI-algebras are introduced and classified. Amongst these 60 classes of algebras, 46 are found to be associative and 14 are found to be non-associative. The 46 associative algebras are shown to be Boolean groups. Moreover, necessary and sufficient conditions for 13 non-associative algebras to be associative are also obtained: p-semisimplicity is found to be necessary and sufficient for a F 3 , F 5 , F 42 and F 55 algebras to be as
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Gavalec, Martin, Zuzana Němcová, and Ján Plavka. "Strong Tolerance and Strong Universality of Interval Eigenvectors in a Max-Łukasiewicz Algebra." Mathematics 8, no. 9 (2020): 1504. http://dx.doi.org/10.3390/math8091504.

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The Łukasiewicz conjunction (sometimes also considered to be a logic of absolute comparison), which is used in multivalued logic and in fuzzy set theory, is one of the most important t-norms. In combination with the binary operation ‘maximum’, the Łukasiewicz t-norm forms the basis for the so-called max-Łuk algebra, with applications to the investigation of systems working in discrete steps (discrete events systems; DES, in short). Similar algebras describing the work of DES’s are based on other pairs of operations, such as max-min algebra, max-plus algebra, or max-T algebra (with a given t-no
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Elsner, L., and P. van den Driessche. "Max-algebra and pairwise comparison matrices, II." Linear Algebra and its Applications 432, no. 4 (2010): 927–35. http://dx.doi.org/10.1016/j.laa.2009.10.005.

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Dissertations / Theses on the topic "Comparison Algebra"

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Garo, Sofokli. "A Cross-Cultural Comparison of Algebra 1 Students’ Achievement." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-79868.

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The purpose of this research was to compare American and Albanian students’ achievement in Algebra 1. The study compared algebraic solving abilities of 219 students in a city of Albania and 242 ninth-grade American students, residents of an American region. Albanian sample did not use calculators on the test. Of the American sample, 97 students used calculators on the test, whereas 145 did not use them. The three research questions addressed: (1) students’ mastering of the overall algebraic achievement, (2) students’ mastering of specific domains of algebraic understanding: knowing, applying,
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Gulliksson, Rebecka. "A comparison of parallelization approaches for numerical linear algebra." Thesis, Umeå universitet, Institutionen för datavetenskap, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-81116.

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The efficiency of numerical libraries for a given computation is highly dependent on the size of the inputs. For very small inputs it is expected that LAPACK combined with BLAS is the superior alternative, while the new generation of parallelized numerical libraries (such as PLASMA and SuperMatrix) is expected to be superior for large inputs. In between these two extremes in input sizes, there might exist a niche for a new class of numerical libraries.In this thesis a prototype library, targeting medium sized inputs, is presented. The prototype library uses a mixed data and task parallel appro
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Munro, Brittany. "Teaching Algebra: A Comparison of Scottish and American Perspectives." Digital Commons @ East Tennessee State University, 2015. https://dc.etsu.edu/honors/265.

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A variety of factors influence what teaching strategies an educator uses. I analyze survey responses from algebra teachers in Scotland and Appalachia America to discover how a teacher's perception of these factors, particularly their view of mathematics itself, determines the pedagogical strategies employed in the classroom.
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Tucky, Kristina L. "A comparison of two teaching methodologies in a middle school algebra classroom." [Denver, Colo.] : Regis University, 2006. http://165.236.235.140/lib/ktucky2007.pdf.

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Runge, Piotr. "A Comparison Theorem for the Topological and Algebraic Classification of Quaternionic Toric 8-Manifolds." DigitalCommons@USU, 2009. https://digitalcommons.usu.edu/etd/501.

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In order to discuss topological properties of quaternionic toric 8-manifolds, we introduce the notion of an algebraic morphism in the category of toric spaces. We show that the classification of quaternionic toric 8-manifolds with respect to an algebraic isomorphism is finer than the oriented topological classification. We construct infinite families of quaternionic toric 8-manifolds in the same oriented homeomorphism type but algebraically distinct. To prove that the elements within each family are of the same oriented homeomorphism type, and that we have representatives of all such types of
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Wohlgehagen, Kathleen Shannon. "A Comparison of the Attitude and Achievement in Mathematics of Algebra I Students Using Computer-based Instruction and Traditional Instructional Methods." Thesis, University of North Texas, 1992. https://digital.library.unt.edu/ark:/67531/metadc277738/.

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This study investigated the use of computer-based instruction as a means of teaching Algebra I, compared to the teaching of the same topics using traditional methodologies. The achievement level of the two groups, and three aspects of attitude toward mathematics were considered. Achievement and attitude differences by gender were also analyzed.
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Lauter, Robert, and Jörg Seiler. "Pseudodifferential analysis on manifolds with boundary - a comparison of b-calculus and cone algebra." Universität Potsdam, 1999. http://opus.kobv.de/ubp/volltexte/2008/2561/.

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We establish a relation between two different approaches to a complete pseudodifferential analysis of totally characteristic or Fuchs type operators on compact manifolds with boundary respectively conical singularities: Melrose's (overblown) b-calculus and Schulze's cone algebra. Though quite different in their definition, we show that these two pseudodifferential calculi basically contain the same operators.
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Seal, Jennifer Ferrill. "A comparison of academic achievement and retention of community college students in college algebra after completion of traditional or technology-based instruction." Diss., Mississippi State : Mississippi State University, 2008. http://library.msstate.edu/etd/show.asp?etd=etd-04012008-103543.

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Wohlgehagen, James L. (James Lee). "A Comparison of the Effectiveness of an Abstract and a Concrete Approach in Teaching Selected Algebraic Concepts to Ninth and Tenth Grade Students." Thesis, University of North Texas, 1989. https://digital.library.unt.edu/ark:/67531/metadc331465/.

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One purpose of this study was to determine whether any differences in immediate achievement or retention existed between students using manipulatives and students not using manipulatives. Also addressed in this study is whether or not the use of manipulatives is more beneficial for girls than boys and whether the use of manipulatives is more beneficial for low-ability students than for high-ability students. Students selected for this study were from a large suburban school district in Texas. The students were from eight intact classes, four of which were designated as the experimental group
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Shine, Thomas E. (Thomas Earl). "A Comparison of the Achievement of Two Groups of Algebra I Students and Teacher Scores on the Texas Teacher Appraisal System." Thesis, University of North Texas, 1989. https://digital.library.unt.edu/ark:/67531/metadc331003/.

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The problem of this study was to determine if the teachers of Algebra I rated highest and lowest according to the Texas Teacher Appraisal System differed significantly in a measure of achievement. The analyses indicated that there were significant differences in achievement between the classes taught by the highest and lowest ranked teachers.
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Books on the topic "Comparison Algebra"

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Donatelli, S. A comparison of performance evaluation process algebra and generalized stochastic Petri nets. Computer Systems Group, University of Edinburgh, 1994.

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Spectral theory of linear differential operators and comparison algebras. Cambridge University Press, 1987.

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Efremov, German. Modeling of chemical and technological processes. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1090526.

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In an accessible form, the textbook presents the theoretical foundations of physical and mathematical modeling; considers the modeling of mass, heat and momentum transfer processes, the relationship and analogy between them; studies the theory of similarity, its application in modeling, models of the structure of flows in apparatuses. Experimental-statistical and experimental-analytical modeling methods are also described, which include "black box" methods, planning passive, active full and fractional factor experiments, and adjusting models based on the results of the experiment. At the same
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E, Brenner Mary, and Educational Resources Information Center (U.S.), eds. Using multiple representations for conceptual change in the pre-algebra: A comparison of variable usage with graphic and text based problems. U.S. Dept. of Education, Office of Educational Research and Improvement, Educational Resources Information Center, 1997.

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Yust, Jason. Graph Theory for Temporal Structure. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780190696481.003.0014.

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This chapter introduces mathematical graph theory and develops graph-theory concepts that are useful for temporal networks. By generating chord progressions from networks, the potential musical and temporal meaning of graph-theory concepts, especially cycles, is emphasized. A number of concepts related to trees are introduced to show hierarchical aspects of temporal structure, and to allow for a comparison of Fred Lerdahl and Ray Jackendoff’s prolongational trees to temporal structures. This suggests an enrichment of MOPs through spanning trees, and is channelled into a discussion of graph-the
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Little, Max A. Machine Learning for Signal Processing. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198714934.001.0001.

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Digital signal processing (DSP) is one of the ‘foundational’ engineering topics of the modern world, without which technologies such the mobile phone, television, CD and MP3 players, WiFi and radar, would not be possible. A relative newcomer by comparison, statistical machine learning is the theoretical backbone of exciting technologies such as automatic techniques for car registration plate recognition, speech recognition, stock market prediction, defect detection on assembly lines, robot guidance and autonomous car navigation. Statistical machine learning exploits the analogy between intelli
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Book chapters on the topic "Comparison Algebra"

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Lefebvre, Vladimir A. "A Formal Comparison of Ethical Systems: Guilt, Condemnation, Doubt." In Algebra of Conscience. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-017-0691-9_8.

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Álvarez, V., J. A. Armario, M. D. Frau, and P. Real. "Comparison Maps for Relatively Free Resolutions." In Computer Algebra in Scientific Computing. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11870814_1.

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Lefebvre, Vladimir A. "A Formal Comparison of Ethical Systems: Doubts and Ethical Status." In Algebra of Conscience. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-017-0691-9_9.

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Flegontov, Alexander V., and M. J. Marusina. "The Comparison Method of Physical Quantity Dimensionalities." In Computer Algebra in Scientific Computing. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-04103-7_8.

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Galpin, Vashti. "Comparison of Process Algebra Equivalences Using Formats." In Automata, Languages and Programming. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-48523-6_31.

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Cordes, H. O., and S. H. Doong. "The Laplace comparison algebra of spaces with conical and cylindrical ends." In Pseudo-Differential Operators. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0077738.

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Bradford, Russell, James H. Davenport, and Christopher J. Sangwin. "A Comparison of Equality in Computer Algebra and Correctness in Mathematical Pedagogy." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-02614-0_11.

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Vanegas-Moreno, Erika, Carlos-Andrés Cholo, and Jairo Soriano-Mendez. "Comparison Between Interval Type-2 and Three Valued Algebra Fuzzy Logic Controllers." In Communications in Computer and Information Science. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-50880-1_21.

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Tonisson, Eno. "Students’ Comparison of Their Trigonometric Answers with the Answers of a Computer Algebra System." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-39320-4_14.

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Hillebrand, Joris. "The ABP and the CABP — a Comparison of Performances in Real Time Process Algebra." In Workshops in Computing. Springer London, 1995. http://dx.doi.org/10.1007/978-1-4471-2120-6_6.

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Conference papers on the topic "Comparison Algebra"

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Shiakolas, Panos S., David C. Wilhite, and Sara E. McCaslin. "Comparison of Computer Algebra Systems for Closed Form Stiffness Matrix Generation." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-88263.

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Computer algebra systems (CAS) have been advantageously employed to generate closed form expressions for finite elements. The advantages relate to the time improvements or savings realized by employing closed form generated expressions as compared to numerical integration. However as the element order increases, the size of the closed form generated expressions become unmanageable causing the source code files to possibly become unusable due to their size. One approach to reducing the size of the source files is to take advantage of the utilities found in CAS to identify common expressions or
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Watkinson, Neftali, and Lubomir Bic. "Comparison Between Online and Classroom Learning for a Boolean Algebra Class." In SIGCSE '20: The 51st ACM Technical Symposium on Computer Science Education. ACM, 2020. http://dx.doi.org/10.1145/3328778.3372655.

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Augusto, Douglas A., Luiz M. Carvalho, Paulo Goldfeld, Albert E. F. Muritiba, and Michael Souza. "A performance comparison of linear algebra libraries for sparse matrix-vector product." In XXXV CNMAC - Congresso Nacional de Matemática Aplicada e Computacional. SBMAC, 2015. http://dx.doi.org/10.5540/03.2015.003.01.0116.

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Guo-Yin Wang, Jun Zhao, Jiu-Jiang An, and Yu Wu. "Theoretical study on attribute reduction of rough set theory: comparison of algebra and information views." In Proceedings of the Third IEEE International Conference on Cognitive Informatics, 2004. IEEE, 2004. http://dx.doi.org/10.1109/coginf.2004.1327470.

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Karassiov, Valery P., A. A. Gusev, and Sergey I. Vinitsky. "Polynomial supd(2) Lie algebra techniques in solving the second-harmonic generation model: comparison of exact and approximate calculations." In Saratov Fall Meeting 2001, edited by Vladimir L. Derbov, Leonid A. Melnikov, and Lev M. Babkov. SPIE, 2002. http://dx.doi.org/10.1117/12.469594.

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Yang, Ting-Li, An-xin Liu, Yu-Feng Luo, Li-Ping Zhang, Hui-Ping Shen, and Lu-Bin Hang. "Comparison Study on Three Approaches for Type Synthesis of Robot Mechanisms." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86107.

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Basic principles and main characteristics of three approaches for structure synthesis of robot mechanisms (the screw theory-based approach, the displacement subgroup-based approach and the approach based on position and orientation characteristic (in short, POC) ) are studied and compared in this paper. The comparison deals with the mathematical tools, the symbolic representation of mechanism topological structure, the mathematical representation of POC of the output motion link with respect to the frame link, the basic equations for structure synthesis of serial and parallel mechanisms and re
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Camacho, Oscar, Danilo Chavez, Bryan Moreano, and Juan Pumisacho. "Comparison between PID-Fuzzy and Numerical Methods Based on Linear Algebra Controllers for Glucose Control in Type 1 Diabetes Treatment." In 2019 International Conference on Information Systems and Computer Science (INCISCOS). IEEE, 2019. http://dx.doi.org/10.1109/inciscos49368.2019.00033.

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Gao, Jinsong, Kenneth W. Chase, and Spencer P. Magleby. "Comparison of Assembly Tolerance Analysis by the Direct Linearization and Modified Monte Carlo Simulation Methods." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0047.

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Abstract Two methods for performing statistical tolerance analysis of mechanical assemblies are compared: the Direct Linearization Method (DLM), and Monte Carlo simulation. A selection of 2-D and 3-D vector models of assemblies were analyzed, including problems with closed loop assembly constraints. Closed vector loops describe the small kinematic adjustments that occur at assembly time. Open loops describe critical clearances or other assembly features. The DLM uses linearized assembly constraints and matrix algebra to estimate the variations of the assembly or kinematic variables, and to pre
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Shoureshi, Rahmat, and Virdi Permana. "Connectability-Based Controllability of Large Scale Nonlinear Dynamic Thermal Systems." In ASME 2009 Dynamic Systems and Control Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/dscc2009-2783.

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A new approach using graph-theory to determine the controllability and observability of large scale nonlinear dynamic thermal systems is presented. The novelty of this method is in adapting graph theory for a nonlinear class and establishing graphic conditions that describe the necessary and sufficient conditions for a class of nonlinear systems to be controllable and observable which is equivalent to the analytical method of Lie algebra rank condition. Graph theory of directed graph (digraph) is utilized to model the system and its adaptation to nonlinear problems is defined. The necessary an
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Diskin, Zinovy, Krzysztof Czarnecki, and Michal Antkiewicz. "Model-versioning-in-the-large: Algebraic foundations and the tile notation." In 2009 ICSE Workshop on Comparison and Versioning of Software Models (CVSM). IEEE, 2009. http://dx.doi.org/10.1109/cvsm.2009.5071715.

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