Relevant bibliographies by topics / Symmetric relation

Contents

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

Academic literature on the topic 'Symmetric relation'

Author: Grafiati
Published: 7 June 2025
Last updated: 2 August 2025

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Journal articles on the topic "Symmetric relation"

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Veiner, G. "SOME PROBLEMS OF APPROXIMATING SYMMETRIC RELATIONS BY RELATION." Proceedings of the Estonian Academy of Sciences. Engineering 1, no. 2 (1995): 105. http://dx.doi.org/10.3176/eng.1995.2.01.

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Dresselhaus, M. S., and G. Dresselhaus. "Note on sufficient symmetry conditions for isotropy of the elastic moduli tensor." Journal of Materials Research 6, no. 5 (1991): 1114–18. http://dx.doi.org/10.1557/jmr.1991.1114.

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Group theoretical methods are used to obtain the form of the elastic moduli matrices and the number of independent parameters for various symmetries. Particular attention is given to symmetry groups for which 3D and 2D isotropy is found for the stress-strain tensor relation. The number of independent parameters is given by the number of times the fully symmetric representation is contained in the direct product of the irreducible representations for two symmetrical second rank tensors. The basis functions for the lower symmetry groups are found from the compatibility relations and are explicit
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Lee, Jeong-Gon, and Kul Hur. "Bipolar Fuzzy Relations." Mathematics 7, no. 11 (2019): 1044. http://dx.doi.org/10.3390/math7111044.

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We introduce the concepts of a bipolar fuzzy reflexive, symmetric, and transitive relation. We study bipolar fuzzy analogues of many results concerning relationships between ordinary reflexive, symmetric, and transitive relations. Next, we define the concepts of a bipolar fuzzy equivalence class and a bipolar fuzzy partition, and we prove that the set of all bipolar fuzzy equivalence classes is a bipolar fuzzy partition and that the bipolar fuzzy equivalence relation is induced by a bipolar fuzzy partition. Finally, we define an ( a , b ) -level set of a bipolar fuzzy relation and investigate
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Song, Xingrui, and Kater Murch. "Parity-Time Symmetric Holographic Principle." Entropy 25, no. 11 (2023): 1523. http://dx.doi.org/10.3390/e25111523.

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Originating from the Hamiltonian of a single qubit system, the phenomenon of the avoided level crossing is ubiquitous in multiple branches of physics, including the Landau–Zener transition in atomic, molecular, and optical physics, the band structure of condensed matter physics and the dispersion relation of relativistic quantum physics. We revisit this fundamental phenomenon in the simple example of a spinless relativistic quantum particle traveling in (1+1)-dimensional space-time and establish its relation to a spin-1/2 system evolving under a PT-symmetric Hamiltonian. This relation allows u
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BUSTINCE, H., and P. BURILLO. "PERTURBATION OF INTUITIONISTIC FUZZY RELATIONS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 09, no. 01 (2001): 81–103. http://dx.doi.org/10.1142/s0218488501000648.

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In this paper we present a way of perturbing reflexive, symmetric, antisymmetric, perfect antisymmetric, transitive and partially included intuitionistic fuzzy relations afterward obtaining the perturbation of another reflexive, symmetric, antisymmetric, perfect antisymmetric, transitive and partially included intuitionistic fuzzy relation. To do so we study the main properties of an operator that allows us to go from an intuitionistic fuzzy set to another also intuitionistic fuzzy set, we then apply this operator to intuitionistic fuzzy relations with different properties and we study the con
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Khan, Madad, Muhammad Zeeshan, Seok-Zun Song, and Sohail Iqbal. "Types of Complex Fuzzy Relations with Applications in Future Commission Market." Journal of Mathematics 2021 (March 27, 2021): 1–14. http://dx.doi.org/10.1155/2021/6685977.

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In this paper, we introduce types of relations on complex fuzzy sets such as the complex fuzzy (CF) inverse relation, complex fuzzy reflexive relation, complex fuzzy symmetric relation, complex fuzzy antisymmetric relation, complex fuzzy transitive relation, complex fuzzy irreflexive relation, complex fuzzy asymmetric relation, complex fuzzy equivalence relation, and complex fuzzy-order relation. We study some basic results and particular examples of these relations. Moreover, we discuss the applications of complex fuzzy relations in Future Commission Market (FCM). We show that the introductio
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ROSSI, MAURO. "Value and Preference Relations: Are They Symmetric?" Utilitas 28, no. 3 (2015): 239–53. http://dx.doi.org/10.1017/s0953820815000369.

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According to Wlodek Rabinowicz's fitting-attitude analysis of comparative value, it is possible to analyse both standard and non-standard value relations in terms of the standard preference relations and two levels of normativity. In a recent article, however, Johan Gustafsson has argued that Rabinowicz's analysis violates a principle of value–preference symmetry, according to which for any value relation, there is a corresponding preference relation. Gustafsson has proposed an alternative analysis which respects this principle and which allegedly accounts for the idea that originally motivate
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Goyal, Rahul, Praveen Agarwal, Georgia Irina Oros, and Shilpi Jain. "Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function." Mathematics 10, no. 6 (2022): 892. http://dx.doi.org/10.3390/math10060892.

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The main aim of this article is to study an extension of the Beta and Gamma matrix functions by using a two-parameter Mittag-Leffler matrix function. In particular, we investigate certain properties of these extended matrix functions such as symmetric relation, integral representations, summation relations, generating relation and functional relation.
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Reddy, Siva Kota, K.R. Rajanna, and M.C. Geetha. "Switching Equivalence in Symmetric n-Sigraphs-V." International J.Math. Combin. Vol.3 (October 25, 2012): 58–63. https://doi.org/10.5281/zenodo.9190.

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Introducing a new notion S-antipodal symmetric n-sigraph of a symmetric n-sigraph and its properties are obtained. Also giving the relation between antipodal symmetric n-sigraphs and S-antipodal symmetric n-sigraphs. Further, discussing structural characterization of S-antipodal symmetric n-sigraphs.
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Spelsberg-Korspeter, G., D. Hochlenert, and P. Hagedorn. "Non-linear investigation of an asymmetric disk brake model." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 225, no. 10 (2011): 2325–32. http://dx.doi.org/10.1177/0954406211408531.

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Among design engineers, it is known that breaking symmetries of a brake rotor can help to prevent squeal. From a modelling point of view, in the literature brake squeal is almost exclusively treated using models with a symmetric brake rotor, which are capable of explaining the excitation mechanism but yield no insight into the relation between rotor asymmetry and stability. In previous work, it has been demonstrated with linear models that the breaking of symmetries of the brake rotor has a stabilizing effect. The equations of motion for this case have periodic coefficients with respect to tim
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Dissertations / Theses on the topic "Symmetric relation"

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Luna, Joana Viridiana. "Progenitors, Symmetric Presentations, and Related Topics." CSUSB ScholarWorks, 2018. https://scholarworks.lib.csusb.edu/etd/622.

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Abstract A progenitor developed by Robert T. Curtis is a type of infinite groups formed by the semi-direct product of a free group m∗n and a transitive permutation group of degree n. To produce finite homomorphic images we had to add relations to the progenitor of the form 2∗n : N. In this thesis we have investigated several permutations progenitors and monomials, 2∗12 : S4, 2∗12 : S4 × 2, 2∗13 : (13 : 4), 2∗30 : ((2• : 3) : 5), 2∗13 :13,2∗13 :(13:2),2∗13 :(13:S3),53∗2 :m (13:4),7∗8 :m (32 :8),and 53∗4 :m (13 : 4). We have discovered that the permutations progenitors produced the following fin
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Thórhallsson, Torfi. "Symmetric objects in multiple affine views." Thesis, University of Oxford, 2000. http://ora.ox.ac.uk/objects/uuid:49ec4596-7086-4645-81f8-8dacf48b694a.

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This thesis is concerned with the utilization of object symmety as a cue for segmentation and object recognition. In particular it investigates the problem of detecting 3D bilaterally symmetric objects from affine views. The first part of the thesis investigates the problem of detecting 3D bilateral symmetry within a scene from known point correspondences across two or more affine views. We begin by extending the notion of skewed symmetry to three dimensions, and give a definition in terms of degenerate structure that applies equally to an affine 3D structure or to point correspondences across
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Wilson, Iain. "Are international exchange and mobility programmes effective tools of symmetric public diplomacy?" Thesis, Aberystwyth University, 2010. http://hdl.handle.net/2160/f0bee0ac-09cf-46fb-ba79-f5ad2d9e17cc.

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Governments often fund foreign nationals to live, work and study in their countries, creating specialist programmes tasked with promoting international mobility. In this thesis I establish that much of this funding is intended to serve a public diplomacy agenda, improving international relations to the benefit of the sponsor. Expectations about how offering funding to foreigners affects international relations have come to centre on what I label the ‘symmetric public diplomacy model’, which suggests that governments intend to influence other countries’ behaviour by influencing their citizens.
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Doi, Takahiro. "Lattice QCD study for the relation between confinement and chiral symmetry breaking." 京都大学 (Kyoto University), 2017. http://hdl.handle.net/2433/225399.

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Chen, Han-yin. "Symmetrical pitch relations and variational procedures in George Crumb's Gnomic variations /." Digital version accessible at:, 1998. http://wwwlib.umi.com/cr/utexas/main.

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Sands, Obed Scott. "Transitive, anti-symmetric relational attributes in structural description matching with applications to radar target identification /." The Ohio State University, 1990. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487683401443243.

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Gustafson, Rebecka. "När målet helgar mediet : En kvalitativ fallstudie av dold viral PR." Thesis, Umeå universitet, Institutionen för kultur- och medievetenskaper, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-87964.

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Surveys show that consumers tend to avoid traditional marketing channels, leading the practitioners to use earned media channels through public relations (PR). This has also led to the use of covert PR. To understand the use of this communications method, the purpose of this thesis is to study campaigns, which have gained transmission in social media, by investigating how practitioners of three different campaigns motivate the choice to use covert PR. The study is based on a hermeneutic methodology and has an abductive approach. It is carried out by semi-structured elite interviews with six co
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Lugo, Michael Ruben. "A Combinatorially Explicit Relative Möbius Function on Affine Grassmannians and a Proposal for an Affine Infinite Symmetric Group." Diss., Virginia Tech, 2019. http://hdl.handle.net/10919/89477.

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For an affine Weyl group W, we explicitly determine the elements for which the Möbius function of the subposet of affine Grassmannians under the Bruhat order is non-zero by utilizing the quantum Bruhat graph of the classical Weyl group associated to W . Then we examine embedding stable and consistent statistics on the affine Weyl group of type A which permit the definition of an affine infinite symmetric group.<br>Doctor of Philosophy
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Johansson, Alma, and Caroline Lundgren. "Blogga vårt varumärke! : Hur PR-utövare bör bemöta bloggare utifrånbloggarnas perspektiv." Thesis, Högskolan för lärande och kommunikation, Högskolan i Jönköping, HLK, Sektionen för kommunikation, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-20616.

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Web 2.0 har möjliggjort och öppnat upp för en ny typ av mellanmänsklig kommunikation. Numera kan vem som helst starta sin egen offentliga och lättillgängliga webbplattform där digitala dialoger frodas och med det skapas attraktiva marknadsplatser för företag. Enligt forskningsluckan vi har identifierat anser vi att det saknas insikter om hur företag på bästa sätt ska arbeta med bloggare utifrån bloggarnas perspektiv. Bloggar är inte bara en attraktiv marknadsplats för företag utan också för bloggarna själva som skapar sitt personliga varumärke genom att bygga upp den digitala identitet som pre
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Hinnenkamp, Jay Evan. "Exploring Fundamental Principles in the Study of Derived Relational Responding in Pigeons." Thesis, University of North Texas, 2013. https://digital.library.unt.edu/ark:/67531/metadc500069/.

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A persistent challenge for behaviorally-based accounts of learning has been providing an account of learning that occurs in the absence of systematically programmed contingencies of reinforcement. Symmetry, one type of emergent behavior, has been repeatedly demonstrated with humans, but has been considerably more difficult to demonstrate with non-humans. In this study, pigeons were exposed to a go/no-go procedure in which hue stimuli were presented full screen on a touchscreen monitor. Pigeons learned 12 baseline relations in less than 30 days. Traditional measures used to evaluate symmetry in
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Books on the topic "Symmetric relation"

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Grunig, J. E. Public relations as a two-way symmetrical process. Phaedon, 1992.

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Winterson, Jeanette. Gut symmetries. Vintage, 1998.

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Winterson, Jeanette. Gut symmetries. A.A. Knopf, 1997.

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Winterson, Jeanette. Gut symmetries. Granta Books, 1997.

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Winterson, Jeanette. Gut symmetries. Granta, 1998.

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Doi, Takahiro. Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking. Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-6596-5.

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S, Benolken Martha, and United States. National Aeronautics and Space Administration., eds. Relation between perception of vertical axis rotation and vestibulo-ocular reflex symmetry. Good Samaritan Hospital & Medical Center, Clinical Vestibular Laboratory and R.S. Dow Neurological Sciences Institute, 1991.

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Hellinger, Bert. Love's hidden symmetry: What makes love work in relationships. Zeig, Tucker, 1998.

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Kolawole, James Oladipo. University of Ado-Ekiti, Nigeria, 14th inaugural lecture titled the symmetry of an asymmetric relationship Nigerian foreign policy and military rule. University of Ado-Ekiti Press, 2005.

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Bianchi, Valentina. Consequences of antisymmetry: Headed relative clauses. Mouton de Gruyter, 1999.

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Book chapters on the topic "Symmetric relation"

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Konstantinidis, Stavros, Mitja Mastnak, and Juraj Šebej. "Partitioning a Symmetric Rational Relation into Two Asymmetric Rational Relations." In Implementation and Application of Automata. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-23679-3_14.

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Yao, Jinkui, and Yulong Zhao. "Knowledge Graph Embedding Bi-vector Models for Symmetric Relation." In Lecture Notes in Electrical Engineering. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-32-9698-5_4.

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Maddux, Roger D. "Finite Symmetric Integral Relation Algebras with No 3-Cycles." In Relations and Kleene Algebra in Computer Science. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11828563_2.

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Byun, Sung-Soo, and Peter J. Forrester. "Further Extensions to GinSE." In KIAS Springer Series in Mathematics. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-5173-0_11.

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AbstractThe elliptic extension of GinSE considered in the previous chapter gives rise to a potential which is not spherically symmetric. In contrast, the extensions of GinSE to be considered in this chapter—specifically the induced GinSE relating to a polar decomposition involving a rectangular generalisation of GinSE and a random Haar symplectic unitary matrix, the quaternion spherical ensemble of matrices $$G_1^{-1}G_2$$ G 1 - 1 G 2 with $$G_1,G_2$$ G 1 , G 2 both GinSE matrices, a sub-block of a Haar symplectic unitary matrix, and products of GinSE matrices—all have the common feature that
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Gagolewski, Marek. "On the Relation between Effort-Dominating and Symmetric Minitive Aggregation Operators." In Communications in Computer and Information Science. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-31718-7_29.

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Garmendia, Luis, and Adela Salvador. "Computing a Transitive Opening of a Reflexive and Symmetric Fuzzy Relation." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11518655_50.

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Mihoc, Tudor Dan. "A Generative Relation for Nash Equilibria on Symmetric Action Graph Games." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-07494-8_5.

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Mathur, Umang, P. Madhusudan, and Mahesh Viswanathan. "What’s Decidable About Program Verification Modulo Axioms?" In Tools and Algorithms for the Construction and Analysis of Systems. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45237-7_10.

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Abstract We consider the decidability of the verification problem of programs modulo axioms — automatically verifying whether programs satisfy their assertions, when the function and relation symbols are interpreted as arbitrary functions and relations that satisfy a set of first-order axioms. Though verification of uninterpreted programs (with no axioms) is already undecidable, a recent work introduced a subclass of coherent uninterpreted programs, and showed that they admit decidable verification [26]. We undertake a systematic study of various natural axioms for relations and functions, and
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Zhang, Miaomiao. "On the Relation Between Security Models for HB-like Symmetric Key Authentication Protocols." In Lecture Notes in Networks and Systems. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-12385-7_63.

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Langendoen, D. Terence. "Symmetric Relations." In The Joy of Grammar. John Benjamins Publishing Company, 1992. http://dx.doi.org/10.1075/z.55.13lan.

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Conference papers on the topic "Symmetric relation"

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Drexler, Dominik, Simon Ståhlberg, Blai Bonet, and Hector Geffner. "Symmetries and Expressive Requirements for Learning General Policies." In 21st International Conference on Principles of Knowledge Representation and Reasoning {KR-2023}. International Joint Conferences on Artificial Intelligence Organization, 2024. http://dx.doi.org/10.24963/kr.2024/79.

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State symmetries play an important role in planning and generalized planning. In the first case, state symmetries can be used to reduce the size of the search; in the second, to reduce the size of the training set. In the case of general planning, however, it is also critical to distinguish non-symmetric states, i.e., states that represent non-isomorphic relational structures. However, while the language of first-order logic distinguishes non-symmetric states, the languages and architectures used to represent and learn general policies do not. In particular, recent approaches for learning gene
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Chan, Pak Yuen Patrick, and Jacky Keung. "A Symmetric Metamorphic Relations Approach Supporting LLM for Education Technology." In 2024 International Symposium on Educational Technology (ISET). IEEE, 2024. http://dx.doi.org/10.1109/iset61814.2024.00017.

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Zhang, Dingkang, and Farzad Rahnema. "Global Symmetry Relations for Efficient COMET Core Calculations." In International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C 2025). American Nuclear Society, 2025. https://doi.org/10.13182/xyz-47500.

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Zhai, Yuming, and Ruixia Yan. "Rough set model based on dual-limited symmetric similarity relation." In 2012 IEEE International Conference on Granular Computing (GrC-2012). IEEE, 2012. http://dx.doi.org/10.1109/grc.2012.6468657.

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Konstantinidis, E., and S. Balabani. "Symmetric Vortex Shedding From a Circular Cylinder Under Periodic Flow Forcing." In ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/pvp2006-icpvt-11-93374.

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This paper describes an experimental study of the near wake of a circular cylinder subjected to streamwise flow forcing. The wake field is examined by PIV and LDV for excitation frequencies in which symmetric shedding is likely. The results show that symmetric formation of vortex pairs occurs close to the cylinder synchronized with the oscillatory component of the flow. The symmetric mode rapidly breaks down and gives rise to an antisymmetric arrangement of single vortices further downstream. The number of cycles for which the symmetrical vortices persist in the near wake is a probabilistic fu
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PETRESCU, Maria. "Symmetrical - the mind sport for high school students." In Interconexiunea dimensiunilor de formare profesională prin studii superioare de licență, master, doctorat în științe ale educației . Ion Creangă Pedagogical State University, 2023. https://doi.org/10.46727/c.09-12-2022.p155-159.

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Like the game of chess, the Symmetric game develops in children and youth important qualities for their academic and human success, among them: insight, concentration and calculation power, perseverance, communication and collegiality. The present research has shown us that in the Symmetrical Game there is a much increased independence of the strategic-tactical level in relation to that of language. Level 0, due to symmetrical moves, gives the specific beauty of the language of this game, but it involves very little in the strategy. By comparison with chess a clear distinction appears between
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Zhang, Xiaotong, Xianchao Zhang, Han Liu, and Jiebo Luo. "Multi-Task Clustering with Model Relation Learning." 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.2018/435.

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Multi-task clustering improves the clustering performance of each task by transferring knowledge among the related tasks. An important aspect of multi-task clustering is to assess the task relatedness. However, to our knowledge, only two previous works have assessed the task relatedness, but they both have limitations. In this paper, we propose a multi-task clustering with model relation learning (MTCMRL) method, which automatically learns the model parameter relatedness between each pair of tasks. The objective function of MTCMRL consists of two parts: (1) within-task clustering: clustering e
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Rave, Wolfgang. "A relation between conditional and unconditional soft bit densities of binary input memoryless symmetric channels." In Iterative Information Processing (ISTC). IEEE, 2010. http://dx.doi.org/10.1109/istc.2010.5613898.

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Ender, A. Ya. "Polynomial expansion for the axially symmetric Boltzmann equation and relation between matrix elements of collision integral." In RAREFIED GAS DYNAMICS: 22nd International Symposium. AIP, 2001. http://dx.doi.org/10.1063/1.1407542.

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Quinn, D. Dane, Curtis B. Clemons, and Kevin M. Dempsey. "The Singular Nature of Rotating Circular Rings With Symmetry." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0071.

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Abstract We study the S𝒪(2) symmetric deformation of circular rings. The equations of motion are based on general partial differential equations governing the elastodynamics of geometrically exact rings, which have been formulated by Dempsey [2], based on the work of Libai and Simmonds [6]. Thus, the formulation is valid for arbitrary pressure forcing, large deformations, and finite strains, although the results are tempered by a linear constitutive relation and an assumption of plane strain. With the assumption that the deformation retains S𝒪(2) symmetry, the partial differential equations ar
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Reports on the topic "Symmetric relation"

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Dembo, Amir, and Ofer Zeitouni. On the Relation of Anticipative Stratonovich and Symmetric Integrals: A Decomposition Formula. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada459634.

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Valverde, L., and S. V. Ovchinnikov. Representation of Fuzzy Symmetric Relations. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada604022.

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Wolf, D., S. R. Phillpot, J. A. Jaszczak, J. M. Rickman, and S. Yip. On the relation between sliding and migration of symmetrical tilt grain boundaries. Office of Scientific and Technical Information (OSTI), 1991. http://dx.doi.org/10.2172/10132731.

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Jackson, Daniel. Exploiting Symmetry in the Model Checking of Relational Specifications,. Defense Technical Information Center, 1994. http://dx.doi.org/10.21236/ada290230.

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Brodsky, Stanley J. Conformal Symmetry as a Template:Commensurate Scale Relations and Physical Renormalization Schemes. Office of Scientific and Technical Information (OSTI), 1999. http://dx.doi.org/10.2172/10102.

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Hill, R. Symmetry Relations for Heavy-to-Light Meson Form Factors at Large Recoil. Office of Scientific and Technical Information (OSTI), 2004. http://dx.doi.org/10.2172/839592.

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Magnenet, Vincent, and Rachid Rahouadj. A Rational Approach for Modelling the Mechanical Behaviour of Materials Exhibiting Symmetry Relations. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-23-2011-29-57.

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Hertel, Thomas. Global Applied General Equilibrium Analysis using the GTAP Framework. GTAP Working Paper, 2012. http://dx.doi.org/10.21642/gtap.wp66.

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Contributed Chapter for Peter B. Dixon and Dale W. Jorgenson (eds.) This chapter provides an overview of the first two decades of the Global Trade Analysis Project (GTAP) – an effort to support a standardized data base and CGE modeling platform for international economic analysis. It characterizes GTAP in four different dimensions: institutional innovation, a network, a database and a standardized modeling platform. Guiding principles for the GTAP modeling framework include flexibility, ease of use, transparency, and symmetric treatment of production and utility fundamentals across regions. Th
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9

Ruangpornvisuti, Vithaya. Surfaces properties of Zirconia and its adsorption of gases : Research report. Chulalongkorn University, 2015. https://doi.org/10.58837/chula.res.2015.36.

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The adsorption of CO and NH₃ gases on the cubic ZrO2 (110) surface was investigated by two–dimensionally periodic slab model DFT method. The relative adsorption energies of these gases on the cubic ZrO₂ (110) surface is in order: NH₃ &gt; CO. The adsorption energies of NH3 on the cubic ZrO₂ (110) surface are –27.62 and –25.51 kcal/mol, obtained using the PBE0 and B3LYP methods, respectively. The CO adsorption on the cubic ZrO2 (110) surface –11.39 and –9.81 kcal/mol, obtained using the PBE0 with rigid and flexible models, respectively. The geometry optimizations of zirconia nanoparticle (ZrO₂–
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