Academic literature on the topic 'Canonical Representation'

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Journal articles on the topic "Canonical Representation"

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YAMASHITA, HIDEYASU, and MASANAO OZAWA. "NONSTANDARD REPRESENTATIONS OF THE CANONICAL COMMUTATION RELATIONS." Reviews in Mathematical Physics 12, no. 11 (2000): 1407–27. http://dx.doi.org/10.1142/s0129055x00000617.

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Kelemen and Robinson reconstructed the [Formula: see text] model of Glimm and Jaffe with methods of nonstandard analysis. In order to apply nonstandard analysis to other constructions of field models systematically, this paper generalizes their nonstandard analytical methods of representing the canonical commutation relations in the framework of the theory of nonstandard unitary representations. For this purpose, such notions are introduced and examined in detail as nonstandard hulls of representations, approximate representations, and their standardizations. As applications, the following rep
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Chua, L. O., and A. C. Deng. "Canonical piecewise-linear representation." IEEE Transactions on Circuits and Systems 35, no. 1 (1988): 101–11. http://dx.doi.org/10.1109/31.1705.

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ACCARDI, LUIGI, and YUJI HIBINO. "CANONICAL REPRESENTATION OF STATIONARY QUANTUM GAUSSIAN PROCESSES." Infinite Dimensional Analysis, Quantum Probability and Related Topics 05, no. 03 (2002): 421–28. http://dx.doi.org/10.1142/s0219025702000869.

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Stimulated by the quantum generalization of the canonical representation theory for Gaussian processes in Ref. 1, we first give the representations (not necessarily canonical) of two stationary Gaussian processes X and Y by means of white noises qt and pt with no assumptions on their commutator. We then assume that qt + ipt annihilates the vacuum state and prove that the representations are the joint Boson–Fock ones if and only if X and Y have a scalar commutator.
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Arai, Asao. "Singular Bogoliubov transformations and inequivalent representations of canonical commutation relations." Reviews in Mathematical Physics 31, no. 08 (2019): 1950026. http://dx.doi.org/10.1142/s0129055x19500260.

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We introduce a concept of singular Bogoliubov transformation on the abstract boson Fock space and construct a representation of canonical commutation relations (CCRs) which is inequivalent to any direct sum of the Fock representation. Sufficient conditions for the representation to be irreducible are formulated. Moreover, an example of such representations of CCRs is given.
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KEEVER, R. D. "MINIMAL 3-BRAID REPRESENTATIONS." Journal of Knot Theory and Its Ramifications 03, no. 02 (1994): 163–77. http://dx.doi.org/10.1142/s0218216594000125.

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This paper provides necessary and sufficient conditions for a representation of any 3-braid to be minimal (with regard to the number of crossings) and includes an algorithm to obtain such a representation, the number of distinct minimal representations of a given 3-braid, as well as a unique canonical form for each braid in B3. Also presented are necessary and sufficient conditions for any 3-string braid word to be a minimal representation of its conjugacy class. A canonical form for each conjugacy class in B3 is given.
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Gilboa, Itzhak, and David Schmeidler. "Canonical Representation of Set Functions." Mathematics of Operations Research 20, no. 1 (1995): 197–212. http://dx.doi.org/10.1287/moor.20.1.197.

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Vemuri, M. K. "Realizations of the canonical representation." Proceedings Mathematical Sciences 118, no. 1 (2008): 115–31. http://dx.doi.org/10.1007/s12044-008-0007-7.

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Htay, Win Win. "Optimalities for random functions Lee-Wiener’s network and non-canonical representation of stationary Gaussian processes." Nagoya Mathematical Journal 149 (March 1998): 9–17. http://dx.doi.org/10.1017/s0027763000006528.

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Abstract.Representation of a Gaussian process in terms of a Brownian motion is a powerful tool in the investigation of its structure. Among various representations is the canonical representation which is viewed as the best one from the viewpoint of the prediction theory. We have discovered some significance of non-canonical representations and discuss their optimality in an information theoretical approach.
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GAGU, Cristian. "THE CANONICAL REPRESENTATION OF THE HOLY TRINITY IN ORTHODOX ICONOGRAPHY." Icoana Credintei 9, no. 17 (2023): 5–30. http://dx.doi.org/10.26520/icoana.2023.17.9.5-30.

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The iconography of the Holy Trinity represents an extremely important issue, considering that the icon must fully express the truth of the Churchʼs faith, and current at the same time, since in church painting we can easily observe deviations from the canon of orthodoxy. That is precisely why, appealing to both the Orthodox and the Catholic bibliography, the present study aims to bring to the attention of theologians, clergy, iconographers and, why not, the laity alike, in a succinct presentation, the question of iconography and, implicitly, of the iconology of the Holy Trinity, to understand
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GRUNDLING, HENDRIK, and KARL-HERMANN NEEB. "FULL REGULARITY FOR A C*-ALGEBRA OF THE CANONICAL COMMUTATION RELATIONS." Reviews in Mathematical Physics 21, no. 05 (2009): 587–613. http://dx.doi.org/10.1142/s0129055x09003670.

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The Weyl algebra — the usual C*-algebra employed to model the canonical commutation relations (CCRs), has a well-known defect, in that it has a large number of representations which are not regular and these cannot model physical fields. Here, we construct explicitly a C*-algebra which can reproduce the CCRs of a countably dimensional symplectic space (S, B) and such that its representation set is exactly the full set of regular representations of the CCRs. This construction uses Blackadar's version of infinite tensor products of nonunital C*-algebras, and it produces a "host algebra" (i.e. a
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Dissertations / Theses on the topic "Canonical Representation"

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Heijltjes, Willem Bernard. "Graphical representation of canonical proof : two case studies." Thesis, University of Edinburgh, 2012. http://hdl.handle.net/1842/5838.

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An interesting problem in proof theory is to find representations of proof that do not distinguish between proofs that are ‘morally’ the same. For many logics, the presentation of proofs in a traditional formalism, such as Gentzen’s sequent calculus, introduces artificial syntactic structure called ‘bureaucracy’; e.g., an arbitrary ordering of freely permutable inferences. A proof system that is free of bureaucracy is called canonical for a logic. In this dissertation two canonical proof systems are presented, for two logics: a notion of proof nets for additive linear logic with units, and ‘cl
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Chang, Hongsheng. "Canonical Representation of sidescan sonar images for robotics application." Thesis, KTH, Skolan för elektroteknik och datavetenskap (EECS), 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-291460.

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Sidescan sonar (SSS) is crucial in underwater investigation as it is cheaper and provide wider detection range. Sidescan sonars are typically mounted on Autonomous Underwater Vehicles (AUVs) or vessels. However, the pixel and it’s intensity in SSS image is not corresponding to the 3D seabed perfectly, which cause some problem to utilize SSS image for navigation and mapping. This thesis is aiming to represent the SSS image to a canonical image. The approaches considered in this thesis including model fitting in range, incident angle and beam angle on the intensity in direction across AUV travel
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Badalyan, A. Yu, and O. V. Yushchenko. "Transformation of the Internal Energy of the Active Nanoparicles under Canonical Representation." Thesis, Sumy State University, 2013. http://essuir.sumdu.edu.ua/handle/123456789/35492.

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The kinetics of the active nanoparticles within the framework of the canonical representation was investigated. On the basis of the phase portraits method the behavior of the system was studied for the case of the anharmonic oscillator under the transformation of the internal energy of the particles into the total mechanic energy of motion. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/35492
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Ou, Kaisen. "Decomposition of the Canonical Representation of W(1)×End[m] on Λ(m)". 京都大学 (Kyoto University), 1997. http://hdl.handle.net/2433/202420.

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Shan, Caifeng. "Inferring facial and body language." Thesis, Queen Mary, University of London, 2008. http://qmro.qmul.ac.uk/xmlui/handle/123456789/15020.

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Machine analysis of human facial and body language is a challenging topic in computer vision, impacting on important applications such as human-computer interaction and visual surveillance. In this thesis, we present research building towards computational frameworks capable of automatically understanding facial expression and behavioural body language. The thesis work commences with a thorough examination in issues surrounding facial representation based on Local Binary Patterns (LBP). Extensive experiments with different machine learning techniques demonstrate that LBP features are efficient
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Park, Sung Hee. "Discipline-Independent Text Information Extraction from Heterogeneous Styled References Using Knowledge from the Web." Diss., Virginia Tech, 2013. http://hdl.handle.net/10919/52860.

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In education and research, references play a key role. They give credit to prior works, and provide support for reviews, discussions, and arguments. The set of references attached to a publication can help describe that publication, can aid with its categorization and retrieval, can support bibliometric studies, and can guide interested readers and researchers. If suitably analyzed, that set can aid with the analysis of the publication itself, especially regarding all its citing passages. However, extracting and parsing references are difficult problems. One concern is that there are many styl
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Shohibussirri, Muhammad. "Focus on topic: information structure in the formal variety of Indonesian." Thesis, Canberra, ACT : The Australian National University, 2014. http://hdl.handle.net/1885/12732.

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The correlation between form and function is the subject of a huge debate in linguistics. This thesis studies this correlation by investigating sentences (utterances) and their formal features, as in using language, people not only think about what to say – the informative content, but also how to order it – the structure. The study is a piece of research into the relationship between units of information conveyed in sentences and their morpho-syntactic devices (constructions, constituents and domains). It deals with important concepts in information structure such as topic, focus, topic
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Кулик, Ігор Анатолійович, Игорь Анатольевич Кулик, Ihor Anatoliiovych Kulyk, Олена Михайлiвна Скордiна, Елена Михайловна Скордина та Olena Mykhailivna Skordina. "Двоично-каноническая форма записи чисел сочетаний". Thesis, Изд-во СумДУ, 2008. http://essuir.sumdu.edu.ua/handle/123456789/4334.

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Prill, Robert, and Andrew Comba. "Waveform Description Language (WDL) for Software Radios." International Foundation for Telemetering, 2002. http://hdl.handle.net/10150/606323.

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International Telemetering Conference Proceedings / October 21, 2002 / Town & Country Hotel and Conference Center, San Diego, California<br>Waveform Description Language (WDL) was invented to ease the process of porting legacy and/ or new radio waveforms to Programmable / Software Radios. WDL has two primary requirements; 1st it is to provide a rigorous executable behavioural description of waveform signal structures that is unambiguous and yet independent of any particular end item software radio architecture. The 2nd requirement is that the behavioural specification provides a path to au
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Thibault, Joan. "Introduction to structure theory and its application to boolean functions." Electronic Thesis or Diss., Université de Rennes (2023-....), 2024. http://www.theses.fr/2024URENS104.

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Cette dissertation introduit et formalise la notion de structures comme moyen mathématique de capturer diverses propriétés dans plusieurs domaines scientifiques. Nous définissons les représentations structurelles comme des arbres ou des graphes acycliques dirigés (DAG) de structures, où la sémantique globale est la composition des structures individuelles, permettant un raisonnement inductif et modulaire. Nous formaliserons les notions de représentations inductives et de représentations canoniquement inductives. Nous étudions les conditions nécessaires et suffisantes pour que les représentatio
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Books on the topic "Canonical Representation"

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Malchow, Harvey L. On a useful functional representation of control system structure. Charles Stark Draper Laboratory, 1988.

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Jørgensen, Palle E. T. Operators and representation theory: Canonical models for algebras of operators arising in quantum mechanics. North-Holland, 1988.

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Almet, Duyar, and United States. National Aeronautics and Space Administration., eds. [Alpha]-canonical form representation of the open loop dynamics of the space shuttle main engine. National Aeronautics and Space Administration, 1991.

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Arai, Asao. Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-2180-5.

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Riche, Simon. Tilting modules and the p-canonical basis. Société mathématique de France, 2018.

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Paul, Heike, Alexandra Ganser, and Katharina Gerund, eds. Pirates, Drifters, Fugitives. Universitätsverlag WINTER, 2012. http://dx.doi.org/10.33675/2012-82538586.

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Figures of mobility appear prominently in US-foundational narratives of ‘discovery,’ the ‘Puritan errand,’ and westward expansion; the protagonists of these hegemonic tales of settlement and nation-building are (mostly) European travellers, pioneers, and colonists. By contrast, figures such as pirates, drifters, and fugitives are for the most part absent from canonical narratives of new world beginnings and may be considered as expressing/representing alternative mobilities. Their stories and their representations raise questions of legitimacy and legality – often from a transnational perspect
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Kuffner, Emily. Fictions of Containment in the Spanish Female Picaresque. Amsterdam University Press, 2019. http://dx.doi.org/10.5117/9789462986800.

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This study examines the interdependence of gender, sexuality and space in the early modern period, which saw the inception of architecture as a discipline and gave rise to the first custodial institutions for women, including convents for reformed prostitutes. Meanwhile, conduct manuals established prescriptive mandates for female use of space, concentrating especially on the liminal spaces of the home. This work traces literary prostitution in the Spanish Mediterranean through the sixteenth and seventeenth centuries, from the rise of courtesan culture in several key areas through the shift fr
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Arai, Asao. Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations: Representation-theoretical Viewpoint for Quantum Phenomena. Springer, 2020.

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Arai, Asao. Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations: Representation-Theoretical Viewpoint for Quantum Phenomena. Springer Singapore Pte. Limited, 2021.

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Jorgensen, P. E. T. Operators and Representation Theory: Canonical Models for Algebras of Operators Arising in Quantum Mechanics. Elsevier Science & Technology Books, 1987.

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Book chapters on the topic "Canonical Representation"

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Liptser, R. Sh, and A. N. Shiryayev. "Semimartingales. II. Canonical Representation." In Theory of Martingales. Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-2438-3_4.

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Erraoui, M., and E. H. Essaky. "Canonical Representation for Gaussian Processes." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01763-6_13.

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Lusztig, George. "Canonical bases and Hall algebras." In Representation Theories and Algebraic Geometry. Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-015-9131-7_9.

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Vasak, David, Jürgen Struckmeier, and Johannes Kirsch. "Spinor Representation of the Gauge Theory of Gravity for Fermions." In Covariant Canonical Gauge Gravity. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-43717-5_5.

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Köbler, Johannes, Sebastian Kuhnert, Bastian Laubner, and Oleg Verbitsky. "Interval Graphs: Canonical Representation in Logspace." In Automata, Languages and Programming. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14165-2_33.

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Mugnier, M. L., and M. Chein. "Characterization and algorithmic recognition of canonical conceptual graphs." In Conceptual Graphs for Knowledge Representation. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/3-540-56979-0_16.

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Belnap, Nuel, and Michael Perloff. "Seeing To it That: A Canonical Form for Agentives." In Knowledge Representation and Defeasible Reasoning. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-0553-5_7.

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Degani, Asaf, Michael Shafto, and Leonard Olson. "Canonical Correlation Analysis: Use of Composite Heliographs for Representing Multiple Patterns." In Diagrammatic Representation and Inference. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11783183_11.

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Borowiec, Jan, and Arthur Veen. "Lowering HPF procedure interface to a canonical representation." In Languages and Compilers for Parallel Computing. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/bfb0032692.

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

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Conference papers on the topic "Canonical Representation"

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Yuan, Yun-Hao, Jin Li, Jipeng Qiang, Yi Zhu, Xiaobo Shen, and Yun Li. "Learning Simultaneous Facial Canonical Correlation Representation for Face Hallucination." In ICASSP 2025 - 2025 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2025. https://doi.org/10.1109/icassp49660.2025.10887637.

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Sauerwald, Kai, and Matthias Thimm. "The Realizability of Revision and Contraction Operators in Epistemic Spaces." 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.2024/62.

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This paper studies the realizability of belief revision and belief contraction operators in epistemic spaces. We observe that AGM revision and AGM contraction operators for epistemic spaces are only realizable in precisely determined epistemic spaces. We define the class of linear change operators, which are a special kind of maxichoice operators. When AGM revision, respectively, AGM contraction, is realizable, linear change operators are a canonical realization.
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Loskutov, V. E., and A. A. Vyatkin. "Algebraic Bayesian Networks: Using the Canonical Representation of the Knowledge Pattern in Local Inference." In 2025 XXVIII International Conference on Soft Computing and Measurements (SCM). IEEE, 2025. https://doi.org/10.1109/scm66446.2025.11060282.

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Da Silva, Fabiano Tavares, Felipe Rocha De Araújo, and Erick Costa Bezerra. "A Comparative Study of Bug Triage Representation and Classification Approaches from Canonical to Large Language Models." In 2024 5th International Conference on Artificial Intelligence and Computer Engineering (ICAICE). IEEE, 2024. https://doi.org/10.1109/icaice63571.2024.10864116.

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Hiremath, Nandeesh, Nicholas Motahari, and Narayanan Komerath. "Generalized Approach for Slung-Load Aerodynamics." In Vertical Flight Society 72nd Annual Forum & Technology Display. The Vertical Flight Society, 2016. http://dx.doi.org/10.4050/f-0072-2016-11563.

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The general problem of measuring bluff-body aerodynamic load maps is considered, and simplified using a Fourier series representation Six-component aerodynamic load coefficients have been measured in a low-speed wind tunnel with 1 degree azimuthal resolution, about the needed axes for over 30 models using the Continuous Rotation method. Test cases include both explorations on practical vehicle shapes, and systematic parameter variations on canonical shapes, including open and closed cylinders, flat and long rectangular containers. From the load maps for different aspect ratios, different appro
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Mishchenko, Alan, Robert Brayton, Ana Petkovska, Mathias Soeken, Luca Amaru, and Antun Domic. "Canonical Computation without Canonical Representation." In 2018 55th ACM/ESDA/IEEE Design Automation Conference (DAC). IEEE, 2018. http://dx.doi.org/10.1109/dac.2018.8465857.

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Mishchenko, Alan, Robert Brayton, Ana Petkovska, Mathias Soeken, Luca Amarú, and Antun Domic. "Canonical computation without canonical representation." In DAC '18: The 55th Annual Design Automation Conference 2018. ACM, 2018. http://dx.doi.org/10.1145/3195970.3196006.

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Woodward, John R., and Ruibin Bai. "Canonical representation genetic programming." In the first ACM/SIGEVO Summit. ACM Press, 2009. http://dx.doi.org/10.1145/1543834.1543914.

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Nilsson, Mattias, Barbara Resch, Moo-Young Kim, and W. Bastiaan Kleijn. "A Canonical Representation of Speech." In 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07. IEEE, 2007. http://dx.doi.org/10.1109/icassp.2007.367046.

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Vemuri, B. C., D. Terzopoulos, and P. J. Lewicki. "Canonical Parameters for Invariant Surface Representation." In 1989 Symposium on Visual Communications, Image Processing, and Intelligent Robotics Systems, edited by David P. Casasent. SPIE, 1990. http://dx.doi.org/10.1117/12.969724.

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Reports on the topic "Canonical Representation"

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Lupu, Noam. Weak Parties and the Inequality Trap in Latin America. Inter-American Development Bank, 2024. http://dx.doi.org/10.18235/0012891.

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Latin America is widely acknowledged as one of the most unequal regions of the world (Sánchez-Ancochea 2021). But it is also one of the most democratic, certainly as compared to other developing regions. These two facts seem difficult to reconcile. Both folk theories of democratic representation to borrow a phrase from (Achen and Bartels 2016) and canonical models in political economy would have us believe that democracies ought to reduce inequality through redistribution (e.g., Acemoglu and Robinson 2006; Meltzer and Richard 1981; Romer 1975). As inequality increases, the proportion of the po
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Beuermann, Diether, Nicolas L. Bottan, Bridget Hoffmann, C. Kirabo; Jackson, and Diego A. Vera-Cossio. Does Education Prevent Job Loss during Downturns?: Evidence from Exogenous Schools Assignments and COVID-19 in Barbados. Inter-American Development Bank, 2021. http://dx.doi.org/10.18235/0003624.

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Canonical human capital theories posit that education, by enhancing worker skills, reduces the likelihood that a worker will be laid off during times of economic change. Yet, this has not been demonstrated causally. We link administrative education records from 1987 through 2002 to nationally representative surveys conducted before and after the onset of COVID-19 in Barbados to explore the causal impact of improved education on job loss during this period. Using a regression discontinuity (RD) design, Beuermann and Jackson (2020) show that females (but not males) who score just above the admis
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