Relevant bibliographies by topics / Algebraic analogy

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

Academic literature on the topic 'Algebraic analogy'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Algebraic analogy"

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Junarti, M. Zainudin, and Anita Dewi Utami. "The sequence of algebraic problem-solving paths: Evidence from structure sense of Indonesian student." Journal on Mathematics Education 13, no. 3 (2022): 437–64. http://dx.doi.org/10.22342/jme.v13i3.pp437-464.

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The algebraic structure is one of the axiomatic mathematical materials that consists of definitions and theorems. Learning algebraic structure will facilitate the development of logical reasoning, hence facilitating the study of other aspects of axiomatic mathematics. Even with this, several researchers say a lack of algebraic structure sense is a source of difficulty in acquiring algebraic structures. This study aims to examine a pattern of sequences of problem-solving paths in algebra, which is an illustration of learners' algebraic structure sense so that it can be utilized to enhance the a
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Feng, Tony. "Étale Steenrod operations and the Artin–Tate pairing." Compositio Mathematica 156, no. 7 (2020): 1476–515. http://dx.doi.org/10.1112/s0010437x20007216.

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We prove a 1966 conjecture of Tate concerning the Artin–Tate pairing on the Brauer group of a surface over a finite field, which is the analog of the Cassels–Tate pairing. Tate asked if this pairing is always alternating and we find an affirmative answer, which is somewhat surprising in view of the work of Poonen–Stoll on the Cassels–Tate pairing. Our method is based on studying a connection between the Artin–Tate pairing and (generalizations of) Steenrod operations in étale cohomology. Inspired by an analogy to the algebraic topology of manifolds, we develop tools allowing us to calculate the
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Chvalina, Jan, Bedřich Smetana, and Jana Vyroubalová. "Construction of an Infinite Cyclic Group Formed by Artificial Differential Neurons." Mathematics 10, no. 9 (2022): 1571. http://dx.doi.org/10.3390/math10091571.

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Infinite cyclic groups created by various objects belong to the class to the class basic algebraic structures. In this paper, we construct the infinite cyclic group of differential neurons which are modifications of artificial neurons in analogy to linear ordinary differential operators of the n-th order. We also describe some of their basic properties.
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Rosen, Julian. "The Completed Finite Period Map and Galois Theory of Supercongruences." International Mathematics Research Notices 2019, no. 23 (2018): 7379–405. http://dx.doi.org/10.1093/imrn/rny004.

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Abstract A period is a complex number arising as the integral of a rational function with algebraic number coefficients over a region cut out by finitely many inequalities between polynomials with rational coefficients. Although periods are typically transcendental numbers, there is a conjectural Galois theory of periods coming from the theory of motives. This paper formalizes an analogy between a class of periods called multiple zeta values and congruences for rational numbers modulo prime powers (called supercongruences). We construct an analog of the motivic period map in the setting of sup
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Sa’adah, Nihayatus, and Siti Faizah. "ANALISIS STRATEGI SISWA KELAS IX SMP DALAM MENYELESAIKAN MASALAH ALJABAR." SIGMA 7, no. 2 (2022): 95. http://dx.doi.org/10.53712/sigma.v7i2.1294.

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One skill that students can develop through the mathematics learning process in the classroom is problem solving skill. Polya said that one of four mathematics problem solving steps was planning. In the planning step, there was a strategy that can be used by students to solve the problem. This qualitative research aimed to analyze the third grade of junior high school student's strategy in solving algebraic problem. The subjects in this research were three students with high mathematics ability and three students with medium mathematics ability. The data were collected by using primer and seco
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Matrassulova, Dinara Kutlimuratovna, Yelizaveta Sergeevna Vitulyova, Sergey Vladimirovich Konshin, and Ibragim Esenovich Suleimenov. "Algebraic fields and rings as a digital signal processing tool." Indonesian Journal of Electrical Engineering and Computer Science 29, no. 1 (2022): 206. http://dx.doi.org/10.11591/ijeecs.v29.i1.pp206-216.

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It is shown that algebraic fields and rings can become a very promising tool for digital signal processing. This is mainly due to the fact that any digital signals change in a finite range of amplitudes and, therefore, there are only a finite set of levels that can correspond to the amplitudes of a signal reduced to a discrete form. This allows you to establish a one-to-one correspondence between the set of levels and such algebraic structures as fields, rings, etc. This means that a function that takes values in any of the algebraic structures containing a finite set of elements can serve as
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Matrassulova, Dinara Kutlimuratovna, Yelizaveta Sergeevna Vitulyova, Sergey Vladimirovich Konshin, and Ibragim Esenovich Suleimenov. "Algebraic fields and rings as a digital signal processing tool." Indonesian Journal of Electrical Engineering and Computer Science 29, no. 1 (2023): 206–16. https://doi.org/10.11591/ijeecs.v29.i1.pp206-216.

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It is shown that algebraic fields and rings can become a very promising tool for digital signal processing. This is mainly due to the fact that any digital signals change in a finite range of amplitudes and, therefore, there are only a finite set of levels that can correspond to the amplitudes of a signal reduced to a discrete form. This allows you to establish a one-to-one correspondence between the set of levels and such algebraic structures as fields, rings, etc. This means that a function that takes values in any of the algebraic structures containing a finite set of elements can serve as
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Kotov, A. A., and T. N. Kotova. "Using Pictures as Cultural Means in Finding Similarities between Solutions to Algebraic Tasks." Cultural-Historical Psychology 12, no. 1 (2016): 35–45. http://dx.doi.org/10.17759/chp.2016120104.

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Solving textual algebraic tasks requires finding important mathematical variables in the text and turning them into equations. Many students, following their teacher’s advice or at their own initiative, use pictures as a means of better understanding the mathematical structure of the task. In this study we explored which features of pictures were the most essential to the students in finding the appropriate solution based on their experience. We created a set of pictures that differed in parameters of analogy and completeness of relationships between elements. The subjects were asked to evalua
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GAßNER, CHRISTINE. "Computation over algebraic structures and a classification of undecidable problems." Mathematical Structures in Computer Science 27, no. 8 (2016): 1386–413. http://dx.doi.org/10.1017/s0960129516000116.

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We consider a uniform model of computation over algebraic structures resulting from a generalization of the Turing machine and the BSS model of computation. This model allows us to gain more insight into the reasons for unsolvability of algorithmic decision problems from different perspectives. For example, classes of undecidable problems can be introduced in several ways by analogy with the classical arithmetical hierarchy and, for many structures, the different definitions lead to different hierarchies of undecidable problems. Here, we will investigate some classes of a hierarchy that is def
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Fujikawa, Kazuo, and C. H. Oh. "Exact algebraic separability criterion for two-qubit systems." Modern Physics Letters A 32, no. 11 (2017): 1750070. http://dx.doi.org/10.1142/s0217732317500705.

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A conceptually simpler proof of the separability criterion for two-qubit systems, which is referred to as “Hefei inequality” in literature, is presented. This inequality gives a necessary and sufficient separability criterion for any mixed two-qubit system unlike the Bell-CHSH inequality that cannot test the mixed-states such as the Werner state when regarded as a separability criterion. The original derivation of this inequality emphasized the uncertainty relation of complementary observables, but we show that the uncertainty relation does not play any role in the actual derivation and the Pe
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Dissertations / Theses on the topic "Algebraic analogy"

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Dhillon, Adam. "A Complexity of Real Functions based on Analog Computing." Scholarship @ Claremont, 2019. https://scholarship.claremont.edu/hmc_theses/225.

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This thesis is focused on analyzing a particular notion of complexity of real valued functions through the lens of analog computers. This report features design changes to Pour-El’s notion of an analog computer that reflect this question of complexity in a concrete way. Additionally, these changes to the analog computer allow an extension of Pour-El’s work in which the complexity of a function can be identified with the order of a differentiably algebraic equation that the function satisfies.
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Thrower, Mark Laurence. "A gallium arsenide four-quadrant analog multiplier based on the quarter-square algebraic identity." Diss., Georgia Institute of Technology, 1990. http://hdl.handle.net/1853/13853.

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Mateycik, Frances Ann. "Facilitating case reuse during problem solving in algebra-based physics." Diss., Manhattan, Kan. : Kansas State University, 2010. http://hdl.handle.net/2097/4189.

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Jacelon, Bhishan. "A stably finite analogue of the Cuntz algebra O2." Thesis, University of Glasgow, 2011. http://theses.gla.ac.uk/2971/.

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The Elliott Programme seeks classification of simple, separable, nuclear $C^*$-algebras via a functor based on $K$-theory. There are a handful of $C^*$-algebras, including the Cuntz algebras $\mathcal{O}_2$ and $\mathcal{O}_\infty$, that play particularly important roles in the programme. It is principally in this context that the Jiang-Su algebra $\mathcal{Z}$ is regarded as an analogue of $\mathcal{O}_\infty$, and this thesis proposes an analogue of $\mathcal{O}_2$ in a similar fashion. More specifically, we construct a simple, nuclear, stably projectionless $C^*$-algebra $W$ which has trivi
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Jain, Divyanshu. "MVHAM an extension of the homotopy analysis method for improving convergence of the multivariate solution of nonlinear algebraic equations as typically encountered in analog circuits /." Cincinnati, Ohio : University of Cincinnati, 2007. http://www.ohiolink.edu/etd/view.cgi?acc%5Fnum=ucin1194974755.

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Thesis (M.S.)--University of Cincinnati, 2007.<br>Advisor: Harold W. Carter. Title from electronic thesis title page (viewed Feb. 18, 2008). Includes abstract. Keywords: Homotopy Analysis Method; Solution of Nonlinear Algebraic Equations; Convergence. Includes bibliographical references.
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Gillespie, Jason Michael. "A Combinatorial Proof of the Positivity of the Lusztig q-Analogue of Weight Multiplicity for Rank 2 Lie Algebras." Diss., Virginia Tech, 2003. http://hdl.handle.net/10919/11071.

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We prove the positivity of Lusztig's q-analogue of weight multiplicity in a purely combinatorial way for rank 2 Lie algebras. Each summand in the polynomial can be interpreted as a linear combination of positive roots. We prove that all negative coefficients are cancelled in the polynomial. Further, the analysis of the root systems allows us to state formulae for every coefficient in Lusztig's q-analogue for rank 2 Lie algebras.<br>Ph. D.
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KROHOVÁ, Zuzana. "Využití metod prostorové analýzy dat při vymezování venkovských regionů." Master's thesis, 2013. http://www.nusl.cz/ntk/nusl-153471.

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The aim of this thesis is technical evaluation of existing approaches to defining rural areas in our country, in Europe and in the world. The main result of the work will be a comprehensive proposal for a new definition of rural areas of the Czech Republic by means of spatial data analysis in a geographic information system. The main method of the spatial analysis will be the map algebra, using it to define a new criterion for rural areas. A new proposal for the definition of rural areas of the Czech Republic will be based on a combination of commonly used criterias for defining rural (populat
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Bajerski, Piotr. "Wykorzystanie algebry Peano dla optymalizacji dostępu do dziedzinowych zbiorów danych w procesie analizy rozkładów cech w przestrzeni." Rozprawa doktorska, 2006. https://repolis.bg.polsl.pl/dlibra/docmetadata?showContent=true&id=5228.

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Bajerski, Piotr. "Wykorzystanie algebry Peano dla optymalizacji dostępu do dziedzinowych zbiorów danych w procesie analizy rozkładów cech w przestrzeni." Rozprawa doktorska, 2006. https://delibra.bg.polsl.pl/dlibra/docmetadata?showContent=true&id=5228.

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Books on the topic "Algebraic analogy"

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Chen, Chi-Tsong. Analog and digital control system design: Transfer-function, state-space, and algebraic methods. Saunders College Pub, 1992.

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Wrixon, Adrian. D-A converter test optimisation. University College Dublin, 1996.

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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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Hrushovski, Ehud, and François Loeser. Introduction. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161686.003.0001.

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This book deals with non-archimedean tame topology and stably dominated types. It considers o-minimality as an analogy and reduces questions over valued fields to the o-minimal setting. A fundamental tool, imported from stability theory, is the notion of a definable type, which plays a number of roles, starting from the definition of a point of the fundamental spaces. One of the roles of definable types is to be a substitute for the classical notion of a sequence, especially in situations where one is willing to refine to a subsequence. To each algebraic variety V over a valued field K, the bo
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Rajeev, S. G. Hamiltonian Systems Based on a Lie Algebra. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0010.

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There is a remarkable analogy between Euler’s equations for a rigid body and his equations for an ideal fluid. The unifying idea is that of a Lie algebra with an inner product, which is not invariant, on it. The concepts of a vector space, Lie algebra, and inner product are reviewed. A hamiltonian dynamical system is derived from each metric Lie algebra. The Virasoro algebra (famous in string theory) is shown to lead to the KdV equation; and in a limiting case, to the Burgers equation for shocks. A hamiltonian formalism for two-dimensional Euler equations is then developed in detail. A discret
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Analog and Digital Control System Design : Transfer-Function, State-Space, and Algebraic Methods: Solutions Manual. Oxford University Press, Incorporated, 2005.

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Chen, Chi-Tsong. Analog and Digital Control System Design: Transfer-Function, State-Space, and Algebraic Methods. Oxford University Press, USA, 2006.

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Analog and digital control system design: Transfer-function, state-space, and algebraic methods. Saunders College Pub., 1993.

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An Analogue Of A Reductive Algebraic Monoid Whose Unit Group Is A Kac-moody Group (Memoirs of the American Mathematical Society). American Mathematical Society, 2005.

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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 "Algebraic analogy"

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Indurkhya, Bipin. "An Algebraic Approach to Modeling Creativity of Metaphor." In Computation for Metaphors, Analogy, and Agents. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-48834-0_16.

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Goguen, Joseph. "An Introduction to Algebraic Semiotics, with Application to User Interface Design." In Computation for Metaphors, Analogy, and Agents. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-48834-0_15.

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Satake, Ichiro, Genjiro Fujisaki, Kazuya Kato, Masato Kurihara, and Shoichi Nakajima. "On a certain analogy between algebraic number fields and function fields." In Kenkichi Iwasawa Collected Papers. Springer Japan, 2001. http://dx.doi.org/10.1007/978-4-431-67947-9_40.

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Schmid, Todd, Tobias Kappé, and Alexandra Silva. "A Complete Inference System for Skip-free Guarded Kleene Algebra with Tests." In Programming Languages and Systems. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-30044-8_12.

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AbstractGuarded Kleene Algebra with Tests (GKAT) is a fragment of Kleene Algebra with Tests (KAT) that was recently introduced to reason efficiently about imperative programs. In contrast to KAT, GKAT does not have an algebraic axiomatization, but relies on an analogue of Salomaa’s axiomatization of Kleene Algebra. In this paper, we present an algebraic axiomatization and prove two completeness results for a large fragment of GKAT consisting of skip-free programs.
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Dickmann, Max. "Analogy and Its Surprises: An Eyewitness’s Reflections on the Emergence of Real Algebraic Geometry." In The Western Ontario Series in Philosophy of Science. Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-0214-1_12.

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Henkel, Werner. "Multiple error correction with Analog Codes." In Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/3-540-51083-4_63.

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Bürgisser, Peter, Michael Clausen, and Mohammad Amin Shokrollahi. "P Versus NP: A Nonuniform Algebraic Analogue." In Grundlehren der mathematischen Wissenschaften. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-662-03338-8_21.

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Haniková, Zuzana, Felip Manyà, and Amanda Vidal. "The MaxSAT Problem in the Real-Valued MV-Algebra." In Lecture Notes in Computer Science. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-43513-3_21.

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AbstractThis work addresses the maximum satisfiability (MaxSAT) problem for a multiset of arbitrary formulas of the language of propositional Łukasiewicz logic over the MV-algebra whose universe is the real interval [0,1]. First, we reduce the MaxSAT problem to the SAT problem over the same algebra. This solution method sets a benchmark for other approaches, allowing a classification of the MaxSAT problem in terms of metric reductions introduced by Krentel. We later define an alternative analytic method with preprocessing in terms of a Tseitin transformation of the input, followed by a reducti
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Hüper, Knut, Steffen Paul, and Josef A. Nossek. "Analog Circuits Solving Problems from Linear Algebra." In Physik und Informatik — Informatik und Physik. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-77382-2_36.

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Lecouvey, Cédric, and Cristian Lenart. "Lusztig’s t-Analogue of Weight Multiplicity via Crystals." In Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-63849-8_10.

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Conference papers on the topic "Algebraic analogy"

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Polkowski, Janusz W. "An Influence of the Thickness of a Laminar Sublayer and Mixing Length Model on the Skin Friction and Heat Transfer in the Boundary Layer Flow." In ASME 1987 International Gas Turbine Conference and Exhibition. American Society of Mechanical Engineers, 1987. http://dx.doi.org/10.1115/87-gt-68.

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An influence of the thickness of the laminar sub-layer and mixing length profile on skin friction and heat transfer in the incompressible boundary layer is studied. Solution of the momentum and energy equations for different algebraic expressions for the mixing length is presented. Relationships between the specific forms of Reynolds analogy and boundary conditions (temperature or heat flux) as well as the limitations of Reynolds analogy are discussed.
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Fumagalli, Alessandro, Pierangelo Masarati, Marco Morandini, and Paolo Mantegazza. "Control Constraint Realization for Multibody Systems." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86949.

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This paper discusses the problem of control constraint realization applied to generic under-actuated multibody systems. The conditions for the realization are presented. Focus is placed on the tangent realization of the control constraint. An alternative condition is formulated, based on the practical observation that Differential-Algebraic Equations (DAE) need to be integrated using implicit algorithms, thus naturally leading to the solution of the problem in form of matrix pencil. The analogy with the representation of linear systems in Laplace’s domain is also discussed. The formulation is
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Fakheri, Ahmad. "Thermal Efficiency of the Cross Flow Heat Exchangers." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-13575.

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The heat exchanger efficiency is defined as the ratio of the actual heat transfer in a heat exchanger to the optimum heat transfer rate. The optimum heat transfer rate, qopt, is given by the product of UA and the Arithmetic Mean Temperature Difference, which is the difference between the average temperatures of hot and cold fluids. The actual rate of heat transfer in a heat exchanger is always less than this optimum value, which takes place in an ideal balanced counter flow heat exchanger. It has been shown that for parallel flow, counter flow, and shell and tube heat exchanger the efficiency
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Weatheritt, Jack, Richard D. Sandberg, Julia Ling, Gonzalo Saez, and Julien Bodart. "A Comparative Study of Contrasting Machine Learning Frameworks Applied to RANS Modeling of Jets in Crossflow." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-63403.

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Classical RANS turbulence models have known deficiencies when applied to jets in crossflow. Identifying the linear Boussinesq stress-strain hypothesis as a major contribution to erroneous prediction, we consider and contrast two machine learning frameworks for turbulence model development. Gene Expression Programming, an evolutionary algorithm that employs a survival of the fittest analogy, and a Deep Neural Network, based on neurological processing, add non-linear terms to the stress-strain relationship. The results are Explicit Algebraic Stress Model-like closures. High fidelity data from an
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Couceiro, Miguel, Nicolas Hug, Henri Prade, and Gilles Richard. "Behavior of Analogical Inference w.r.t. Boolean Functions." In Twenty-Seventh International Joint Conference on Artificial Intelligence {IJCAI-18}. International Joint Conferences on Artificial Intelligence Organization, 2018. http://dx.doi.org/10.24963/ijcai.2018/284.

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It has been observed that a particular form of analogical inference, based on analogical proportions, yields competitive results in classification tasks. Using the algebraic normal form of Boolean functions, it has been shown that analogical prediction is always exact iff the labeling function is affine. We point out that affine functions are also meaningful when using another view of analogy. We address the accuracy of analogical inference for arbitrary Boolean functions and show that if a function is epsilon-close to an affine function, then the probability of making a wrong prediction is up
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Becker, Bryan R., and Richard B. Rivir. "Computation of the Flow Field and Heat Transfer in a Rectangular Passage With a Turbulator." In ASME 1989 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1989. http://dx.doi.org/10.1115/89-gt-30.

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A detailed numerical study of the aerothermal mechanics within a short straight section of a turbine blade internal cooling passage with a single turbulator is described. The two dimensional, transient, Reynolds averaged Navier Stokes, continuity and energy equations are iterated to a steady state solution using the MacCormack explicit predictor-corrector algorithm. Turbulence closure is achieved through the use of the Baldwin-Lomax algebraic two layer eddy viscosity model. Axial distributions of local skin friction coefficient, local Stanton number and local Nusselt number are given. Profiles
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Lin, Chun-Hsien, and Pu-Jen Cheng. "An Evaluation Dataset for Legal Word Embedding: A Case Study on Chinese Codex." In 11th International Conference on Embedded Systems and Applications (EMSA 2022). Academy and Industry Research Collaboration Center (AIRCC), 2022. http://dx.doi.org/10.5121/csit.2022.120614.

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Word embedding is a modern distributed word representations approach and widely used in many natural language processing tasks. Converting the vocabulary in a legal document into a word embedding model facilitates subjecting legal documents to machine learning, deep learning, and other algorithms and subsequently performing the downstream tasks of natural language processing vis-à-vis, for instance, document classification, contract review, and machine translation. The most common and practical approach of accuracy evaluation with the word embedding model uses a benchmark set with linguistic r
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Ling, Julia, Kevin J. Ryan, Julien Bodart, and John K. Eaton. "Analysis of Turbulent Scalar Flux Models for a Discrete Hole Film Cooling Flow." In ASME Turbo Expo 2015: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/gt2015-42092.

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Algebraic closures for the turbulent scalar fluxes were evaluated for a discrete hole film cooling geometry using the results from the high-fidelity Large Eddy Simulation (LES) of Bodart et al. [1]. Several models for the turbulent scalar fluxes exist, including the widely used Gradient Diffusion Hypothesis, the Generalized Gradient Diffusion Hypothesis [2], and the Higher Order Generalized Gradient Diffusion Hypothesis [3]. By analyzing the results from the LES, it was possible to isolate the error due to these turbulent mixing models. Distributions of the turbulent diffusivity, turbulent vis
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Jamal, Tausif, and D. Keith Walters. "Investigation of an Algebraic Reynolds Stress Model for Simulation of Wall-Bounded Turbulent Flows With and Without Buoyancy Effects." In ASME 2020 Fluids Engineering Division Summer Meeting collocated with the ASME 2020 Heat Transfer Summer Conference and the ASME 2020 18th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/fedsm2020-20354.

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Abstract Complex turbulent flows such as those encountered in nuclear reactor cooling systems pose considerable challenges for computational fluid dynamics (CFD) simulation using traditional Reynolds-averaged Navier-Stokes (RANS) models based on the linear eddy-viscosity modeling (LEVM) framework. One particular difficulty is the use of low Prandtl number (Pr) fluids such as liquid metal coolants, which considerably alters the fluctuating thermal field and violates the Reynolds analogy upon which turbulent heat flux modeling in LEVMs is based. Although previous studies have shown that Reynolds
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Arikawa, Keisuke. "Extension of the Kinematics-Based Method for Predicting the Motion of Proteins." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-34576.

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Abstract:
On the basis of an analogy between the kinematic structures of proteins and robotic mechanisms, we have so far developed methods for predicting the internal motion of proteins from three-dimensional structural data in the protein data bank (PDB). With these methods, we model proteins as serial manipulators constrained by springs, and calculate the structural compliance of the protein model. In this study, toward more practical purposes, we reformulate and extend the existing methods by broadening the definition of structural compliance and reducing the number of variables for expressing the co
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