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Relevant bibliographies by topics / Canonical Codes

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Academic literature on the topic 'Canonical Codes'

Author: Grafiati

Published: 6 September 2023

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Journal articles on the topic "Canonical Codes"

1

Bartholomew, Andrew, Roger Fenn, Naoko Kamada, and Seiichi Kamada. "On gauss codes of virtual doodles." Journal of Knot Theory and Its Ramifications 27, no. 11 (October 2018): 1843013. http://dx.doi.org/10.1142/s0218216518430137.

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We discuss Gauss codes of virtual diagrams and virtual doodles. The notion of a left canonical Gauss code is introduced and it is shown that oriented virtual doodles are uniquely presented by left canonical Gauss codes.

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Tautges, Timothy J. "Canonical numbering systems for finite‐element codes." International Journal for Numerical Methods in Biomedical Engineering 26, no. 12 (March 6, 2009): 1559–72. http://dx.doi.org/10.1002/cnm.1237.

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Ali, Mumtaz, Huma Khan, Le Son, Florentin Smarandache, and W. Kandasamy. "New Soft Set Based Class of Linear Algebraic Codes." Symmetry 10, no. 10 (October 16, 2018): 510. http://dx.doi.org/10.3390/sym10100510.

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In this paper, we design and develop a new class of linear algebraic codes defined as soft linear algebraic codes using soft sets. The advantage of using these codes is that they have the ability to transmit m-distinct messages to m-set of receivers simultaneously. The methods of generating and decoding these new classes of soft linear algebraic codes have been developed. The notion of soft canonical generator matrix, soft canonical parity check matrix, and soft syndrome are defined to aid in construction and decoding of these codes. Error detection and correction of these codes are developed and illustrated by an example.

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4

Viana Felix, Luciano, and Marcelo Firer. "Canonical- systematic form for codes in hierarchical poset metrics." Advances in Mathematics of Communications 6, no. 3 (2012): 315–28. http://dx.doi.org/10.3934/amc.2012.6.315.

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Mailman, Joshua Banks. "Babbitt's Canonical Form Revisited: Codes and Metaphors for Epistemology." Perspectives of New Music 58, no. 2 (2020): 215–45. http://dx.doi.org/10.1353/pnm.2020.0016.

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Forney, G. D., R. Johannesson, and Zhe-Xian Wan. "Minimal and canonical rational generator matrices for convolutional codes." IEEE Transactions on Information Theory 42, no. 6 (1996): 1865–80. http://dx.doi.org/10.1109/18.556681.

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Biglari, Amir. "La sémiotique des passions : hier, aujourd’hui, demain." Semiotica 2017, no. 219 (November 27, 2017): 201–17. http://dx.doi.org/10.1515/sem-2017-0076.

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AbstractThis paper presents the semiotics of passions. It first retraces the establishment and evolution of this theory, and sets out its objectives and issues, especially its relationship to tensivity. Next, it highlights devices suggested for approaching textual manifestations of passions, notably the canonical schema of passions and codes of passions: perspective codes, modal codes, somatic codes, rhythmic and aspectual codes, perceptive and figurative codes. Finally, it underlines the importance of concrete analyses in this field, by situating them alongside cultural studies.

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Shin, Jae Kyun, and S. Krishnamurty. "Development of a Standard Code for Colored Graphs and Its Application to Kinematic Chains." Journal of Mechanical Design 116, no. 1 (March 1, 1994): 189–96. http://dx.doi.org/10.1115/1.2919345.

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The development of an efficient solution procedure for the detection of isomorphism and canonical numbering of vertices of colored graphs is introduced. This computer-based algorithm for colored graphs is formed by extending the standard code approach developed earlier for the canonical numbering of simple noncolored graphs, which fully utilizes the capabilities of symmetry analysis of such noncolored graphs. Its application to various kinematic chains and mechanisms is investigated with the aid of examples. The method never failed to produce unique codes, and is also found to be robust and efficient. Using this method, every kinematic chain and mechanism, as well as path generators and function generators, will have their own unique codes and a corresponding canonical numbering of their respective links. Thus, based on its efficiency and applicability, this method can be used as a universal standard code for identifying isomorphisms, as well as for enumerating nonisomorphic kinematic chains and mechanisms.

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9

Garcia, Rebecca, Luis David García Puente, Ryan Kruse, Jessica Liu, Dane Miyata, Ethan Petersen, Kaitlyn Phillipson, and Anne Shiu. "Gröbner bases of neural ideals." International Journal of Algebra and Computation 28, no. 04 (June 2018): 553–71. http://dx.doi.org/10.1142/s0218196718500261.

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The brain processes information about the environment via neural codes. The neural ideal was introduced recently as an algebraic object that can be used to better understand the combinatorial structure of neural codes. Every neural ideal has a particular generating set, called the canonical form, that directly encodes a minimal description of the receptive field structure intrinsic to the neural code. On the other hand, for a given monomial order, any polynomial ideal is also generated by its unique (reduced) Gröbner basis with respect to that monomial order. How are these two types of generating sets — canonical forms and Gröbner bases — related? Our main result states that if the canonical form of a neural ideal is a Gröbner basis, then it is the universal Gröbner basis (that is, the union of all reduced Gröbner bases). Furthermore, we prove that this situation — when the canonical form is a Gröbner basis — occurs precisely when the universal Gröbner basis contains only pseudo-monomials (certain generalizations of monomials). Our results motivate two questions: (1) When is the canonical form a Gröbner basis? (2) When the universal Gröbner basis of a neural ideal is not a canonical form, what can the non-pseudo-monomial elements in the basis tell us about the receptive fields of the code? We give partial answers to both questions. Along the way, we develop a representation of pseudo-monomials as hypercubes in a Boolean lattice.

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Geers, Thomas L., and Teh-Hua Ju. "A Computer Program for a Canonical Problem in Underwater Shock." Shock and Vibration 1, no. 4 (1994): 331–37. http://dx.doi.org/10.1155/1994/958703.

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Finite-element/boundary-element codes are widely used to analyze the response of marine structures to underwater explosions. An important step in verifying the correctness and accuracy of such codes is the comparison of code-generated results for canonical problems with corresponding analytical or semianalytical results. At the present time, such comparisons rely on hardcopy results presented in technical journals and reports. This article describes a computer program available from SAVIAC that produces user-selected numerical results for a step-wave-excited spherical shell submerged in and (optionally) filled with an acoustic fluid. The method of solution employed in the program is based on classical expansion of the field quantities in generalized Fourier series in the meridional coordinate. Convergence of the series is enhanced by judicious application of modified Cesàro summation and partial closed-form solution.

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Dissertations / Theses on the topic "Canonical Codes"

1

Rhode, Ulrich. "Mitwirkungsrechte kirchlicher Autoritäten im Codex Iuris Canonici." Sankt-Ottilien : Eos Verlag, 2001. http://catalogue.bnf.fr/ark:/12148/cb390042035.

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Zwifka, David Alan. "The canonical status of catechumens in the 1983 Code of canon law." Theological Research Exchange Network (TREN), 1987. http://www.tren.com.

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Makowski, Sandra A. "A canonical analysis of n̲o̲m̲i̲n̲e̲ E̲c̲c̲l̲e̲s̲i̲a̲e̲ in the 1983 Code of canon law." Theological Research Exchange Network (TREN), 1989. http://www.tren.com.

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McInerny, Paul B. "The canonical requirement of common life for religious in the 1983 Code of canon law." Theological Research Exchange Network (TREN), 1985. http://www.tren.com.

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Bier, Georg. "Die Rechtsstellung des Diözesanbischofs nach dem Codex Iuris Canonici von 1983 /." Würzburg : Echter, 2001. http://www.gbv.de/dms/spk/sbb/recht/toc/334723213.pdf.

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Ahlers, Reinhild. "Communio eucharistica : eine kirchenrechtliche Untersuchung zur Eucharistielehre im Codex Iuris Canonici /." Regensburg : F. Pustet, 1990. http://catalogue.bnf.fr/ark:/12148/cb355031498.

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Amann, Thomas A. "Der Verwaltungsakt für Einzelfälle : eine Untersuchung aufgrund des "Codex iuris canonici /." St. Ottilien : EOS Verl, 1997. http://catalogue.bnf.fr/ark:/12148/cb369866324.

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Campbell, Mark A. "Pastoral care for mixed marriage canonical prescriptions and practice from the 1917 code through Matrimonia mixta /." Theological Research Exchange Network (TREN), 2005. http://www.tren.com.

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Connolly, Patrick J. "The nature of marriage as proposed in the codex iuris canonici and in the codex canonum ecclesiarum orientalium." Thesis, University of Ottawa (Canada), 1995. http://hdl.handle.net/10393/10293.

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When one quickly glances at the new 1990 Oriental Code, one gets the impression that the marriage legislation is substantially the same as that found in the 1983 Latin Code. This cannot be surprising since the canon law on Christian marriage concerns a sacrament of the Church and therefore one would expect that it should be much the same throughout the Catholic Church, in the Western and in the Eastern Churches. However, because of the diversity of traditions, there are differences in theological approach and matters of discipline in respect of marriage. One such difference concerns the description of the nature of marriage in each Code. This comparative study addresses a number of questions regarding the nature of marriage as proposed in the two legislations. What are the common elements in both Codes' descriptions of marriage's nature? Do both legislations fully reflect the teaching of Vatican II's Gaudium et spes? What precisely are the differences between the two Codes? What is the origin and significance of these differences? Is the Oriental legislation faithful to the tradition of the Eastern Churches? The dissertation begins by attempting a synthesis of the historical and theological background of the Church's thinking on marriage in East and West, which will help explain the different approaches found in the two Codes, and which will also assist in assessing to what extent the new Oriental Code is indeed faithful to authentic Eastern traditions. The thesis goes to thoroughly elucidate the contribution of the Second Vatican Council and to survey the post-conciliar magisterial documents and the jurisprudence of the Roman Rota. This is essential in order to evaluate the ways that the two new legislations reflect the teaching of the Council. There is then a detailed examination of the two Code Commissions' work in drafting the Church's new legislations on marriage, to try to ascertain the reasoning behind their choices of formulations. All of this enables the final part of the work to investigate the common and different approaches by the two Codes in describing marriage's nature; this involves an in-depth comparison and analysis of the relevant canons.

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Amann, Thomas A. "Laien als Träger von Leitungsgewalt ? : eine Untersuchung aufgrund des "Codex iuris canonici /." St. Ottilien : EOS Verl, 1996. http://catalogue.bnf.fr/ark:/12148/cb35844882m.

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Books on the topic "Canonical Codes"

1

Catholic Church. Codex iuris canonici. Città del Vaticano: Libreria editrice vaticana, 1989.

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2

Codex iuris canonici: Lemmata; Stichwortverzeichnis. Freiburg im Breisgau: Rombach, 1986.

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Catholic Church. Kanonų teisės kodeksas: Codex iuris canonici. Vilnius: Katalikų pasaulio leidiniai, 2012.

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4

Mitwirkungsrechte kirchlicher Autoritäten im Codex Iuris Canonici. St. Ottilien: EOS Verlag, 2001.

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5

Martín, Julio García. Le norme generali del Codex iuris canonici. Roma: EDIURCLA, 1995.

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Martín, Julio García. Le norme generali del Codex iuris canonici. 5th ed. Roma: EDIURCLA, 2006.

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Martín, Julio García. Le norme generali del Codex iuris canonici. 3rd ed. Roma: EDIURCLA, 1999.

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8

Fürst, Carl Gerold, and Carl Gerold Fürst. Canones Synopse zum Codex iuris canonici und Codex canonum ecclesiarum Orientalium. Freiburg: Herder, 1992.

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9

Corbellini, Giorgio. Il sinodo diocesano nel nuovo Codex Iuris Canonici. Roma: Pontificia Università lateranense, 1986.

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10

Sandro, Gherro, and Comotti G, eds. Studi sul primo libro del Codex Iuris Canonici. Padova: CEDAM, 1993.

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Book chapters on the topic "Canonical Codes"

1

Contassot-Vivier, Sylvain, and Jean-François Couchot. "Canonical Form of Gray Codes in N-cubes." In Cellular Automata and Discrete Complex Systems, 68–80. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-58631-1_6.

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2

Lally, Kristine. "Canonical Representation of Quasicyclic Codes Using Gröbner Bases Theory." In Gröbner Bases, Coding, and Cryptography, 351–55. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-93806-4_19.

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3

Fariña, Antonio, Travis Gagie, Giovanni Manzini, Gonzalo Navarro, and Alberto Ordóñez. "Efficient and Compact Representations of Some Non-canonical Prefix-Free Codes." In String Processing and Information Retrieval, 50–60. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-46049-9_5.

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Mostowski, T., and E. Rannou. "Complexity of the computation of the canonical Whitney stratification of an algebraic set in Cn." In Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, 281–91. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/3-540-54522-0_117.

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Johannesson, Rolf, and Zhe-xian Wan. "On Canonical Encoding Matrices and the Generalized Constraint Lengths of Convolutional Codes." In Communications and Cryptography, 187–99. Boston, MA: Springer US, 1994. http://dx.doi.org/10.1007/978-1-4615-2694-0_19.

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6

Siebert, Bernd. "Virtual fundamental classes, global normal cones and Fulton’s canonical classes." In Frobenius Manifolds, 341–58. Wiesbaden: Vieweg+Teubner Verlag, 2004. http://dx.doi.org/10.1007/978-3-322-80236-1_13.

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Woodward, Ian. "Mary Douglas: Consumption Codes, Meaning Structures and Classification Systems." In Canonical Authors in Consumption Theory, 61–68. Routledge, 2017. http://dx.doi.org/10.4324/9781315626093-8.

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"Relevant Canonical Genre Families." In Advances in Linguistics and Communication Studies, 56–82. IGI Global, 2019. http://dx.doi.org/10.4018/978-1-5225-6344-0.ch003.

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The basis for a functional communication perspective for elicitation strategies is a selection of generalised high-value genres referred to as canonical genres. There are a number of families of genre but those that are of particular relevance to interviewing and interview protocols are the so-called factual and narrative genre families. The purpose of the chapter is to describe each of these in turn. Following the software engineering pattern movement, each genre that belongs to these families will be described using a common format: a name (capitalized as is convention for genres in SFL), a description, a genre element inventory or a table that provides the list of the genre elements codes, names and function, the corresponding genre digraph, and an authentic transcript marked up with genre stages. The transcripts used to exemplify these canonical genres, reveal a range of unusual features unpacked in more detail in the next chapter.

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Lyons, Owen. "The Stock Exchange as a Space of Modernity and Labour of Representation." In Finance and the World Economy in Weimar Cinema. Nieuwe Prinsengracht 89 1018 VR Amsterdam Nederland: Amsterdam University Press, 2023. http://dx.doi.org/10.5117/9789463727136_ch01.

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Chapter 1 establishes central debates and cultural codes specific to the context of this study – in particular the close association of finance capital with anxieties surrounding France, Jews, and the importance of the historical separation of gambling from speculation. It lays the groundwork for the critical examination of these codes in Weimar cinema. This chapter also lays out two key claims: firstly, that stock exchanges have been overlooked as central spaces of modernity alongside more canonical examples such as the late nineteenth-century shopping arcade, the railroad, the street, and the cinema; and secondly, that financial markets are engaged in the creation of an image of the world – a labour of representation – the history of which parallels the development of the cinema itself.

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Gülüm, Erol. "The Trial of Traditional Turkish Culture With the Auto-Orientalist Cultural Industry." In Advances in Media, Entertainment, and the Arts, 662–80. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-7180-4.ch038.

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Traditional Turkish culture has archaic, unique, universal, diverse, dynamic, competitive, and distinctive contents (traditional knowledge and practices, cultural codes, canonical images, motifs, structural patterns, etc.) that can be valued in different ways in cultural creative industries. However, this cultural capital cannot be utilized sufficiently to meet Turkey's sustainable economic development goals from the past to the present. One of the main reasons why the potential inherent in traditional culture cannot be effectively, creatively, and innovatively actualized is the predominance of auto-orientalist discourse in the Turkish cultural industry. Here, in this text, the trial of traditional culture with auto-orientalist Turkish cultural industry will be analyzed from historical, sociological, and economic aspects.

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Conference papers on the topic "Canonical Codes"

1

Tariq, Rimsha, Sajid Gul Khawaja, Muhammad Usman Akram, and Farhan Hussain. "Reconfigurable Architecture for Real-time Decoding of Canonical Huffman Codes." In 2022 2nd International Conference on Digital Futures and Transformative Technologies (ICoDT2). IEEE, 2022. http://dx.doi.org/10.1109/icodt255437.2022.9787442.

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Shin, Jae Kyun, and Sundar Krishnamurty. "Development of a Standard Code for Colored Graphs and its Application to Kinematic Chains." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0387.

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Abstract The development of an efficient solution procedure for the detection of isomorphism and canonical numbering of vertices of colored graphs is introduced. This computer based algorithm for colored graphs is formed by extending the standard code approach earlier developed for the canonical numbering of simple noncolored graphs, which fully utilizes the capabilities of symmetry analysis of such noncolored graphs. Its application to various kinematic chains and mechanisms is investigated with the aid of examples. The method never failed to produce unique codes, and is also found to be robust and efficient. Using this method, every kinematic chain and mechanism, as well as path generators and function generators, will have their own unique codes and a corresponding canonical numbering of their respective links. Thus, based on its efficiency and applicability, this method can be used as a universal standard code for identifying isomorphisms, as well as for enumerating nonisomorphic kinematic chains and mechanisms.

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3

Forest, Etienne. "Canonical integrators as tracking codes (or how to integrate perturbation theory with tracking)." In PHYSICS OF PARTICLE ACCELERATORS. AIP, 1989. http://dx.doi.org/10.1063/1.38062.

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Liu, Tao, and Zeyun Wu. "Sensitivity and Uncertainty Information Incorporated Loss of Flow Accident Analyses for Research Reactors." In 2020 International Conference on Nuclear Engineering collocated with the ASME 2020 Power Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/icone2020-16242.

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Abstract This paper outlines a system level safety analysis procedure for research reactors incorporating sensitivity and uncertainty components. The protected loss of flow (LOF) accident was selected as an exemplified design basis accident to demonstrate the analysis procedure. The conceptual NIST (National Institute of Standards and Technology) horizontally split-core based research reactor was adopted as a research reactor model in the study. Two system level dynamics codes, RELAP5-3D and PARET, were employed in this work in a comparison study manner. The primary objective of the present work is to demonstrate the analysis capability of integrating sensitivity and uncertainty information in addition to traditional predictions of the system code models for the study of the thermal-hydraulics (T/H) safety characteristics of research reactors under accidental transient scenarios. The canonical transient predictions on the LOF accident yielded from the two system codes mentioned above have demonstrated some noticeable yet acceptable discrepancies. To better understand the discrepancies observed in the simulations, sensitivity and uncertainty analyses were performed by coupling the RELAP5-3D model and the data analytic engines provided by the RAVEN framework developed by INL. The sensitivity information reveals the significances of key figure of merits such as the peak cladding temperature varies with different boundary and initial parameters in both normal operation and design basis transients. The uncertainty analysis informs the deviations of the responses contributed by the errors of various input components. Both the sensitivity and uncertainty information will be incorporated into a safety analysis framework as part of the safety characteristic predictions delivered by the framework.

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Manhartsgruber, Bernhard. "H 2-Optimal Low Order Transmission Line Models." In ASME/BATH 2019 Symposium on Fluid Power and Motion Control. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/fpmc2019-1688.

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Abstract Transmission line modeling has played a crucial role in understanding the dynamics of fluid power systems. A vast body of literature exists from simple lumped parameter approaches to fully coupled three-dimensional fluid structure interaction models. When it comes to computationally efficient, yet physically sound low order models needed for fast computations iteratively called by optimization codes or for the purpose of model based control design, there is still room for improvement. Modal approximations of the input-output behaviour of liquid transmission lines have been around for decades. The basic idea of tuning the parameters of a canonical linear time invariant state space model to fit the transfer functions of a transmission line model in the H2-optimal sense under passivity constraints has been published by the author of the present paper in the past. However, the method so far was barely usable due to numerical difficulties in the underlying optimization process. A new implementation of the method employing quadruple-precision floating point numbers has recently been found to resolve the convergence problems and is reported in the present paper. The new version of the method is based on analytic computation of the cost and constraint functions as well as their gradients in the computer algebra package Maple and automatic code generation for compilation in FORTRAN. Results are very promising because both the entire low frequency behaviour and the first three eigenmodes of a transmission line model can be accurately covered by a model of order eight only.

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Misra, Debajyoti, Supriya Dhabal, Roshni Chakrabarti, and P. Venkateswaran. "Canonical signed digit representation of Quadrature Mirror Filter using Genetic Algorithm." In 2012 International Conference on Communications, Devices and Intelligent Systems (CODIS). IEEE, 2012. http://dx.doi.org/10.1109/codis.2012.6422137.

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Baseer, Irum, and Rabeea Basir. "Cross gender voice morphing using Canonical Correlation Analysis." In 2017 International Conference on Communication, Computing and Digital Systems (C-CODE). IEEE, 2017. http://dx.doi.org/10.1109/c-code.2017.7918947.

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Hiremath, Nandeesh, Dhwanil Shukla, Emily Hale, Taylor Sparacello, and Narayanan Komerath. "Slung Load Amplification Detector." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-70252.

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Externally slung loads and their mission applications are becoming more common on human and autonomously piloted air vehicles. Flight speed is often limited not by the performance envelope but by the danger of divergent load oscillations. Certifying this limiting speed for every load-vehicle combination, is a huge barrier to operations. The conservatism dictated by this uncertainty may itself be life-threatening in critical applications. Computing the dynamics of slung loads for a specific load/vehicle combination has been hindered by lack of knowledge on bluffbody aeromechanics. The prevailing top-down approach is to incorporate slung load aeromechanics calculations into large comprehensive aeromechanics codes for rotorcraft. We argue for a bottom-up approach. This allows on-the-fly system identification and dynamics simulation. The Slung Load Amplification Detector (SLAD) concept provides an on-board safety system to predict, detect, avoid and alleviate divergent oscillations. SLAD is based on a knowledge base derived from wind tunnel data and simulation results including canonical geometries, as well as practical shapes. Validation of simulation results against two practical test cases lends confidence. SLAD allows reliable distinction between pseudo and absolute divergence, permitting an increase of as much as 50% speed in safe flight speed, and guidance on active alleviation of oscillations.

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Chandra, Abhijit, and Sudipta Chattopadhyay. "Differential evolution based design of multiplier-less FIR filter using canonical signed digit representation." In 2012 International Conference on Communications, Devices and Intelligent Systems (CODIS). IEEE, 2012. http://dx.doi.org/10.1109/codis.2012.6422229.

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Briones, Alejandro M., Robert Olding, Joshua P. Sykes, Brent A. Rankin, Kyle McDevitt, and Joshua S. Heyne. "Combustion Modeling Software Development, Verification and Validation." In ASME 2018 Power Conference collocated with the ASME 2018 12th International Conference on Energy Sustainability and the ASME 2018 Nuclear Forum. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/power2018-7433.

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Historically, combustion modeling is important for many transportation- and ground-based applications. More recently, modeling has been offered as an early screening tool in the evaluation of a potential alternative aviation jet fuel. This combustion evaluation path would in theory be conducted by gas turbine Original Equipment Manufacturers (OEMs) on proprietary geometries and conditions. Ideally, OEMs would have access to the latest combustion theory models and would thus have the highest predictive confidence in their model predictions. Unfortunately, the latest combustion theory codes are not written for commercial purposes. This work identifies and develops a conduit for OEM usage of latest flamelet theory for use in the evaluation of alternative jet fuel combustion properties. A so-called “common format routine” (CFR) software with two low-dimensional manifold combustion models that can be used for laminar and turbulent applications is developed, which can be implemented by OEMs on proprietary hardware. The two models are the flamelet prolongation of the intrinsic low-dimensional manifold (FPI), used for premixed combustion, and the flamelet progress variable (FPV), utilized for nonpremixed combustion. The three branches of combustion are computed using a hybrid tool that combines homotopic flamelet calculations with scaling laws and the two- and one-point flamelet continuation methods in order to resolve bifurcations. The mixture fraction and progress variable definitions can be chosen to be any summation of atomic and species composition, respectively. Diffusivity coefficients can be computed using unity Lewis number, mixture-averaged and multicomponent species composition. The turbulence-chemistry interaction is tabulated a priori using Beta probability density function (PDF) for the mixture fraction and Beta or Dirac-delta PDF for the progress variable. Parallel computing is necessary for industrial quality tabulation. The tabulated table can be used for k-ε and k-ω RANS, SAS, DES, and LES simulations. The software can also interact with liquid spray and exchange mass between the liquid and gaseous phase. The software is verified against previous numerical simulations of canonical triple flames, piloted flames and single-cup combustor. The numerical results are validated against experimental measurements of temperature and species mass fractions. The CFR software advances Cantera 2.3. Hence, the software contains an inner layer of C++ code, an intermediate layer of Python wrappers, and an upper layer (GUI) of C# code. The pre-tabulated chemistry is used for CFD simulations. The tables are bi-linearly interpolated for laminar simulations and tri-linearly interpolated for turbulent simulations. The tabulated chemistry can be hooked to commercial software such as Fluent through C and Scheme codes. The simulated flames presented here were computed with this software. The developed software is reliable for modeling and simulation of complex combustion phenomena.

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