Relevant bibliographies by topics / Discrete complexes

Academic literature on the topic 'Discrete complexes'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Discrete complexes"

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Fugacci, Ulderico, Federico Iuricich, and Leila De Floriani. "Computing discrete Morse complexes from simplicial complexes." Graphical Models 103 (May 2019): 101023. http://dx.doi.org/10.1016/j.gmod.2019.101023.

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Bernhardt, Paul V., Brendan P. Macpherson, and Manuel Martinez. "Discrete Dinuclear Cyano-Bridged Complexes." Inorganic Chemistry 39, no. 23 (November 2000): 5203–8. http://dx.doi.org/10.1021/ic000379q.

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Chari, Manoj K., and Michael Joswig. "Complexes of discrete Morse functions." Discrete Mathematics 302, no. 1-3 (October 2005): 39–51. http://dx.doi.org/10.1016/j.disc.2004.07.027.

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Gayathri, S. Shankara, Mateusz Wielopolski, Emilio M Pérez, Gustavo Fernández, Luis Sánchez, Rafael Viruela, Enrique Ortí, Dirk M Guldi, and Nazario Martín. "Discrete Supramolecular Donor-Acceptor Complexes." Angewandte Chemie International Edition 48, no. 4 (January 12, 2009): 815–19. http://dx.doi.org/10.1002/anie.200803984.

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Ayala, Rafael, Jose Antonio Vilches, Gregor Jerše, and Neža Mramor Kosta. "Discrete gradient fields on infinite complexes." Discrete & Continuous Dynamical Systems - A 30, no. 3 (2011): 623–39. http://dx.doi.org/10.3934/dcds.2011.30.623.

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Dragotti, Sara. "Simplicial complexes: from continuous to discrete." Applied Mathematical Sciences 8 (2014): 6761–68. http://dx.doi.org/10.12988/ams.2014.49691.

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Kornyak, V. V. "Discrete relations on abstract simplicial complexes." Programming and Computer Software 32, no. 2 (March 2006): 84–89. http://dx.doi.org/10.1134/s0361768806020058.

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Johnson, Lacey, and Kevin Knudson. "Min-Max Theory for Cell Complexes." Algebra Colloquium 27, no. 03 (August 27, 2020): 447–54. http://dx.doi.org/10.1142/s100538672000036x.

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In the study of smooth functions on manifolds, min-max theory provides a mechanism for identifying critical values of a function. We introduce a discretized version of this theory associated to a discrete Morse function on a (regular) cell complex. As applications we prove a discrete version of the mountain pass lemma and give an alternate proof of a discrete Lusternik–Schnirelmann theorem.
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Chukanov, S. N. "Signal processing of simplicial complexes." Journal of Physics: Conference Series 2182, no. 1 (March 1, 2022): 012017. http://dx.doi.org/10.1088/1742-6596/2182/1/012017.

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Abstract The paper considered the signal processing of simplicial complexes. Hodge decomposition formula for discrete fields is given, which is similar to the Hodge decomposition formula for smooth vector fields. The construction and the estimation of the gradient, divergence and curl operators and Laplace matrices for discrete vector fields are considered.
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Bobenko, A. I., and W. K. Schief. "Discrete line complexes and integrable evolution of minors." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471, no. 2175 (March 2015): 20140819. http://dx.doi.org/10.1098/rspa.2014.0819.

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Based on the classical Plücker correspondence, we present algebraic and geometric properties of discrete integrable line complexes in C P 3 . Algebraically, these are encoded in a discrete integrable system that appears in various guises in the theory of continuous and discrete integrable systems. Geometrically, the existence of these integrable line complexes is shown to be guaranteed by Desargues' classical theorem of projective geometry. A remarkable characterization in terms of correlations of C P 3 is also recorded.
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Dissertations / Theses on the topic "Discrete complexes"

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LEWINER, THOMAS. "GEOMETRIC DISCRETE MORSE COMPLEXES." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2005. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=7353@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO
A geometria diferencial descreve de maneira intuitiva os objetos suaves no espaço. Porém, com a evolução da modelagem geométrica por computador, essa ferramenta se tornou ao mesmo tempo necessária e difícil de se descrever no mundo discreto. A teoria de Morse ficou importante pela ligação que ela cria entre a topologia e a geometria diferenciais. Partindo de um ponto de vista mais combinatório, a teoria de Morse discreta de Forman liga de forma rigorosa os objetos discretos à topologia deles, abrindo essa teoria para estruturas discretas. Este trabalho propõe uma definição construtiva de funções de Morse geométricas no mundo discreto e do complexo de Morse-Smale correspondente, onde a geometria é definida como a amostragem de uma função suave nos vértices da estrutura discreta. Essa construção precisa de cálculos de homologia que se tornaram por si só uma melhoria significativa dos métodos existentes. A decomposição de Morse- Smale resultante pode ser eficientemente computada e usada para aplicações de cálculo da persistência, geração de grafos de Reeb, remoção de ruído e mais. . .
Differential geometry provides an intuitive way of understanding smooth objects in the space. However, with the evolution of geometric modeling by computer, this tool became both necessary and difficult to transpose to the discrete setting. The power of Morse theory relies on the link it created between differential topology and geometry. Starting from a combinatorial point of view, Forman´s discrete Morse theory relates rigorously discrete objects to their topology, opening Morse theory to discrete structures. This work proposes a constructive definition of geometric discrete Morse functions and their corresponding discrete Morse-Smale complexes, where the geometry is defined as a smooth function sampled on the vertices of the discrete structure. This construction required some homology computations that turned out to be a significant improvement over existing methods by itself. The resulting Morse-Smale decomposition can then be efficiently computed, and used for applications to persistence computation, Reeb graph generation, noise removal. . .
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Kowalick, Ryan. "Discrete Systolic Inequalities." The Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1384873457.

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Umutabazi, Vincent. "Smooth Schubert varieties and boolean complexes of involutions." Licentiate thesis, Linköpings universitet, Algebra, geometri och diskret matematik, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-179060.

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This thesis is composed of two papers both in algebraic combinatorics and Coxeter groups. In Paper I, we concentrate on smoothness of Schubert varieties indexed by involutions from finite simply laced types. We show that if a Schubert variety indexed by an involution of a finite and simply laced Coxeter group is smooth, then that involution must be the longest element of a parabolic subgroup. Given a Coxeter system (W, S), we introduce in Paper II the boolean complex of involutions of W as an analogue of the boolean complex of W studied by Ragnarsson and Tenner. By using discrete Morse Theory, we compute the homotopy type for a large class of W, including all finite Coxeter groups. In all cases, the homotopy type is that of a wedge of spheres of dimension |S| − 1. In addition, we provide a recurrence formula for the number of spheres in the wedge.
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Browning, Jonathan Darren. "Synthesis of discrete models for aluminophosphate-type molecular sieves." Thesis, University of Southampton, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.241907.

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Hough, Wesley K. "On Independence, Matching, and Homomorphism Complexes." UKnowledge, 2017. http://uknowledge.uky.edu/math_etds/42.

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First introduced by Forman in 1998, discrete Morse theory has become a standard tool in topological combinatorics. The main idea of discrete Morse theory is to pair cells in a cellular complex in a manner that permits cancellation via elementary collapses, reducing the complex under consideration to a homotopy equivalent complex with fewer cells. In chapter 1, we introduce the relevant background for discrete Morse theory. In chapter 2, we define a discrete Morse matching for a family of independence complexes that generalize the matching complexes of suitable "small" grid graphs. Using this matching, we determine the dimensions of the chain spaces for the resulting Morse complexes and derive bounds on the location of non-trivial homology groups. Furthermore, we determine the Euler characteristic for these complexes and prove that several of their homology groups are non-zero. In chapter 3, we introduce the notion of a homomorphism complex for partially ordered sets, placing particular emphasis on maps between chain posets and the Boolean algebras. We extend the notion of folding from general graph homomorphism complexes to the poset case, and we define an iterative discrete Morse matching for these Boolean complexes. We provide formulas for enumerating the number of critical cells arising from this matching as well as for the Euler characteristic. We end with a conjecture on the optimality of our matching derived from connections to 3-equal manifolds
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Hytteballe, Sophie [Verfasser]. "Synthesis of ligands for self-assembly of discrete metallo-supramolecular complexes / Sophie Hytteballe." Bonn : Universitäts- und Landesbibliothek Bonn, 2016. http://d-nb.info/1096329891/34.

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Arnold, Rachel Florence. "Complex Analysis on Planar Cell Complexes." Thesis, Virginia Tech, 2008. http://hdl.handle.net/10919/32230.

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This paper is an examination of the theory of discrete complex analysis that arises from the framework of a planar cell complex. Construction of this theory is largely integration-based. A combination of two cell complexes, the double and its associated diamond complex, allows for the development of a discrete Cauchy Integral Formula.
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Bouchair, Nabil. "Diagnostic de systèmes complexes par comparaison de listes d’alarmes : application aux systèmes de contrôle du LHC." Thesis, Grenoble, 2014. http://www.theses.fr/2014GRENT025/document.

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Au CERN (Organisation européenne pour la recherche nucléaire), le contrôle et la supervision du plus grand accélérateur du monde, le LHC (Large Hadron Collider), sont basés sur des solutions industrielles (SCADA). Le LHC est composé de sous-systèmes disposant d’un grand nombre de capteurs et d’actionneurs qui rendent la surveillance de ces équipements un véritable défi pour les opérateurs. Même avec les solutions SCADA actuelles, l’occurrence d’un défaut déclenche de véritables avalanches d’alarmes, rendant le diagnostic de ces systèmes très difficile. Cette thèse propose une méthodologie d’aide au diagnostic à partir de données historiques du système. Les signatures des défauts déjà rencontrés et représentés par les listes d’alarmes qu’ils ont déclenchés sont comparées à la liste d’alarmes du défaut à diagnostiquer. Deux approches sont considérées. Dans la première, l’ordre d’apparition des alarmes n’est pas pris en compte et les listes d’alarmes sont représentées par un vecteur binaire. La comparaison se fait à l’aide d’une distance pondérée. Le poids de chaque alarme est évalué en fonction de son aptitude à caractériser chaque défaut. La seconde approche prend en compte l’ordre d’apparition des alarmes, les listes d’alarmes sont alors représentées sous forme de séquences symboliques. La comparaison entre ces deux séquences se fait à l’aide d’un algorithme dérivé de l’algorithme de Needleman et Wunsch utilisé dans le domaine de la Bio-Informatique. Les deux approches sont testées sur des données artificielles ainsi que sur des données extraites d’un simulateur très réaliste d’un des systèmes du LHC et montrent de bons résultats
In the context of the CERN Large Hadron Collider (LHC), a large number of control systems have been built based on industrial control and SCADA solutions. Beyond the complexity of these systems, a large number of sensors and actuators are controlled which make the monitoring and diagnostic of these equipment a continuous and real challenge for human operators. Even with the existing SCADA monitoring tools, critical situations prompt alarms avalanches in the supervision that makes diagnostic more difficult. This thesis proposes a decision support methodology based on the use of historical data. Past faults signatures represented by alarm lists are compared with the alarm list of the fault to diagnose using pattern matching methods. Two approaches are considered. In the first one, the order of appearance is not taken into account, the alarm lists are then represented by a binary vector and compared to each other thanks to an original weighted distance. Every alarm is weighted according to its ability to represent correctly every past faults. The second approach takes into account the alarms order and uses a symbolic sequence to represent the faults. The comparison between the sequences is then made by an adapted version of the Needleman and Wunsch algorithm widely used in Bio-Informatic. The two methods are tested on artificial data and on simulated data extracted from a very realistic simulator of one of the CERN system. Both methods show good results
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Akintola, Oluseun [Verfasser], Winfried [Gutachter] Plass, Felix [Gutachter] Schacher, and Dirk [Gutachter] Volkmer. "Carboxylate-functionalized triphenylamine-based complexes : from discrete monomeric complexes to 2D and 3D extended frameworks / Oluseun Akintola ; Gutachter: Winfried Plass, Felix Schacher, Dirk Volkmer." Jena : Friedrich-Schiller-Universität Jena, 2018. http://d-nb.info/1172206899/34.

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Jonsson, Jakob. "Simplicial Complexes of Graphs." Doctoral thesis, Stockholm, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-202.

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Books on the topic "Discrete complexes"

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service), SpringerLink (Online, ed. Discrete Integrable Systems: QRT Maps and Elliptic Surfaces. New York, NY: Springer Science+Business Media, LLC, 2010.

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Barg, Alexander, and O. R. Musin. Discrete geometry and algebraic combinatorics. Providence, Rhode Island: American Mathematical Society, 2014.

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1975-, Panov Taras E., ed. Toric topology. Providence, Rhode Island: American Mathematical Society, 2015.

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Andersson, Mats. Complex Convexity and Analytic Functionals. Basel: Birkhäuser Basel, 2004.

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Shoikhet, David. Semigroups in Geometrical Function Theory. Dordrecht: Springer Netherlands, 2001.

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Gong, Sheng. Convex and Starlike Mappings in Several Complex Variables. Dordrecht: Springer Netherlands, 1998.

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Aravinda, C. S. Geometry, groups and dynamics: ICTS program, groups, geometry and dynamics, December 3-16, 2012, CEMS, Kumaun University, Almora, India. Providence, Rhode Island: American Mathematical Society, 2015.

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Kirk, William A. Handbook of Metric Fixed Point Theory. Dordrecht: Springer Netherlands, 2001.

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Bader, David A., 1969- editor of compilation, Meyerhenke, Henning, 1978- editor of compilation, Sanders, Peter, editor of compilation, and Wagner, Dorothea, 1957- editor of compilation, eds. Graph partitioning and graph clustering: 10th DIMACS Implementation Challenge Workshop, February 13-14, 2012, Georgia Institute of Technology, Atlanta, GA. Providence, Rhode Island: American Mathematical Society, 2013.

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Southeast Geometry Seminar (15th 2009 University of Alabama at Birmingham). Geometric analysis, mathematical relativity, and nonlinear partial differential equations: Southeast Geometry Seminars Emory University, Georgia Institute of Technology, University of Alabama, Birmingham, and the University of Tennessee, 2009-2011. Edited by Ghomi Mohammad 1969-. Providence, Rhode Island: American Mathematical Society, 2013.

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Book chapters on the topic "Discrete complexes"

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Bertrand, Gilles. "Completions and Simplicial Complexes." In Discrete Geometry for Computer Imagery, 129–40. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19867-0_11.

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Gonzalez-Diaz, Rocio, Maria-Jose Jimenez, and Belen Medrano. "Well-Composed Cell Complexes." In Discrete Geometry for Computer Imagery, 153–62. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19867-0_13.

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Knöppel, Felix, and Ulrich Pinkall. "Complex Line Bundles Over Simplicial Complexes and Their Applications." In Advances in Discrete Differential Geometry, 197–239. Berlin, Heidelberg: Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-50447-5_6.

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Timmreck, Dagmar. "Necessary Conditions for Geometric Realizability of Simplicial Complexes." In Discrete Differential Geometry, 215–33. Basel: Birkhäuser Basel, 2008. http://dx.doi.org/10.1007/978-3-7643-8621-4_11.

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Schulte, Egon. "Regular Incidence Complexes, Polytopes, and C-Groups." In Discrete Geometry and Symmetry, 311–33. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-78434-2_18.

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Couprie, Michel. "Hierarchic Euclidean Skeletons in Cubical Complexes." In Discrete Geometry for Computer Imagery, 141–52. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19867-0_12.

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Olguín, Juan, and Sally Brooker. "Spin-Crossover in Discrete Polynuclear Complexes." In Spin-Crossover Materials, 77–120. Oxford, UK: John Wiley & Sons Ltd, 2013. http://dx.doi.org/10.1002/9781118519301.ch3.

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Chen, Long, and Xuehai Huang. "Discrete Hessian Complexes in Three Dimensions." In SEMA SIMAI Springer Series, 93–135. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-95319-5_3.

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Linial, Nathan, and Yuval Peled. "Random Simplicial Complexes: Around the Phase Transition." In A Journey Through Discrete Mathematics, 543–70. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-44479-6_22.

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Björner, Anders, and Afshin Goodarzi. "On Codimension One Embedding of Simplicial Complexes." In A Journey Through Discrete Mathematics, 207–19. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-44479-6_9.

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Conference papers on the topic "Discrete complexes"

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Matoušek, Jiří, Martin Tancer, and Uli Wagner. "Hardness of embedding simplicial complexes in ℝd." In Proceedings of the Twentieth Annual ACM-SIAM Symposium on Discrete Algorithms. Philadelphia, PA: Society for Industrial and Applied Mathematics, 2009. http://dx.doi.org/10.1137/1.9781611973068.93.

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Jean-Daniel, Boissonnat, and C. S. Karthik. "An Efficient Representation for Filtrations of Simplicial Complexes." In Proceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms. Philadelphia, PA: Society for Industrial and Applied Mathematics, 2017. http://dx.doi.org/10.1137/1.9781611974782.179.

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Haddadi, Rachid, Elhassane Abdelmounim, Mustapha El Hanine, and Abdelaziz Belaguid. "Discrete Wavelet Transform based algorithm for recognition of QRS complexes." In 2014 International Conference on Multimedia Computing and Systems (ICMCS). IEEE, 2014. http://dx.doi.org/10.1109/icmcs.2014.6911261.

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Fattakhov, Ruslan, and Sergey Loginov. "Discrete-nonlinear Colpitts oscillator based communication security increasing of the OFDM systems." In 2021 International Conference on Electrotechnical Complexes and Systems (ICOECS). IEEE, 2021. http://dx.doi.org/10.1109/icoecs52783.2021.9657451.

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Van Lanh, Nguyen, Mikhail P. Belov, and Tran Huu Phuong. "Discrete Optimal Quadratic Control for Electric Drive of Optical-Mechanical Complexes." In 2022 Conference of Russian Young Researchers in Electrical and Electronic Engineering (ElConRus). IEEE, 2022. http://dx.doi.org/10.1109/elconrus54750.2022.9755576.

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Gainutdinov, Ilyas, and Sergey Loginov. "Increasing information security of a communication system with OFDM based on a discrete-nonlinear Duffing system with dynamic chaos." In 2021 International Conference on Electrotechnical Complexes and Systems (ICOECS). IEEE, 2021. http://dx.doi.org/10.1109/icoecs52783.2021.9657260.

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Drachev, Vladimir P., Won-Tae Kim, Eldar N. Khaliullin, Fedda Al-Zoubi, Viktor A. Podolskiy, Vladimir P. Safonov, Vladimir M. Shalaev, and Robert L. Armstrong. "Discrete spectrum of anti-Stokes emission from metal particle-adsorbate complexes in a microcavity." In XVII International Conference on Coherent and Nonlinear Optics (ICONO 2001), edited by Anatoly V. Andreev, Pavel A. Apanasevich, Vladimir I. Emel'yanov, and Alexander P. Nizovtsev. SPIE, 2002. http://dx.doi.org/10.1117/12.468975.

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Lewis, J. C., R. R. Hantgan, N. Kieffer, A. Nurden, and J. Breton-Gorius. "DISTRIBUTION OF GLYCOPROTEINS (GP) lib AND Ilia AND THEIR COMPLEX ON ADHERENT/ACTIVATED PLATELETS." In XIth International Congress on Thrombosis and Haemostasis. Schattauer GmbH, 1987. http://dx.doi.org/10.1055/s-0038-1643707.

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Redistribution of GP Ilbllla has recentlybeen demonstrated for platelets activatedin suspension in the presence of either fibrinogen or specific monoclonal antibodies, and it has been suggested that redistribution is important for normal platelet function. Reported here is the distribution of GPIIb an GPIIIa following adhesion, and event focal to the hemostatic process. Human platelets isolated by centrifugation from heparinized blood and washed in Hank’s Salts, pH 6.5 with and without EDTA (3%) were activated by adhesion to carbon-stabilized formvar grids. Subsequent to activation/adhesion, GP’s were localized by immunoelectron microscopy on whole-mount cells using colloidal gold particles of different sizes. Primary antibodies included mouse monoclonal antibodies C17 (anti IIIa) and PI 12 (anti IIb), rabbit polyclonal antibodies aIIb, aIIIa and antibodies HpL2 and IgGL directed against IIb and the complex. Upon activation with pseudopod extension the Gp’s were colocalized with combined immunochemistry (C17 & aIIb, P112 & aIIIa). Greatest density was observed along pseudopods and the elaborating hyalomere. In addition to colocalization,discrete pools of either IIb or IIIa were interspersed with the complexes over the hyalomere. The pools, ranging in diameter to 0.3 μM were accentuated with hyalomere development; corresponding with release, both the pools and the complexes migrated centripetally to the granulomere. Thisresulted in an absence of Gp over the hyalomere. During hyalomere Gp migration, the label at pseudopods and the cell margin remained intact. Both centripetal movement and pool sizeswere accentuated at 37°C. Immunodetection over the granulomere was minimal following release, but small pools of individual Gp’s were again observed randomly over the hyalomere. Both clustering and relocation of Gp occurred in the presence of EDTA. Verification of individual Gp clusters and IIbIIIa complex clusters was achieved by double labeling using an antibody against the complex in conjunction with antibodies againstlib or IIIa. The complex always colocalized with the individual Gp’s; however, in all combinations the individual Gp’s were alsoobserved as separate pools.
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Tamir, Dan E., Horia N. Teodorescu, Mark Last, and Abraham Kandel. "Discrete complex fuzzy logic." In NAFIPS 2012 - 2012 Annual Meeting of the North American Fuzzy Information Processing Society. IEEE, 2012. http://dx.doi.org/10.1109/nafips.2012.6291020.

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Capra, Lorenzo. "Applying Structural Techniques for Efficient Analysis of Complex SWN Models." In Proceedings. Eighth International Workshop on Discrete Event Systems. IEEE, 2006. http://dx.doi.org/10.1109/wodes.2006.382529.

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Reports on the topic "Discrete complexes"

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Bajari, Patrick, Han Hong, and Stephen Ryan. Identification and Estimation of Discrete Games of Complete Information. Cambridge, MA: National Bureau of Economic Research, October 2004. http://dx.doi.org/10.3386/t0301.

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Nuttall, Albert H. Alias-Free Wigner Distribution Function and Complex Ambiguity Function for Discrete-Time Samples. Fort Belvoir, VA: Defense Technical Information Center, April 1989. http://dx.doi.org/10.21236/ada211050.

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Burke, G. J. Evaluation of the discrete complex-image method for a NEC-like moment-method solution. Office of Scientific and Technical Information (OSTI), January 1996. http://dx.doi.org/10.2172/201799.

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Lee, Heezin, Michael Starek, S. Blundell, Michael Schwind, Christopher Gard, and Harry Puffenberger. Estimation of 2D clutter maps in complex under-canopy environments from airborne discrete-return lidar. Engineer Research and Development Center (U.S.), December 2019. http://dx.doi.org/10.21079/11681/34995.

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Neyedley, K., J. J. Hanley, P. Mercier-Langevin, and M. Fayek. Ore mineralogy, pyrite chemistry, and S isotope systematics of magmatic-hydrothermal Au mineralization associated with the Mooshla Intrusive Complex (MIC), Doyon-Bousquet-LaRonde mining camp, Abitibi greenstone belt, Québec. Natural Resources Canada/CMSS/Information Management, 2021. http://dx.doi.org/10.4095/328985.

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The Mooshla Intrusive Complex (MIC) is an Archean polyphase magmatic body located in the Doyon-Bousquet-LaRonde (DBL) mining camp of the Abitibi greenstone belt, Québec. The MIC is spatially associated with numerous gold (Au)-rich VMS, epizonal 'intrusion-related' Au-Cu vein systems, and shear zone-hosted (orogenic?) Au deposits. To elucidate genetic links between deposits and the MIC, mineralized samples from two of the epizonal 'intrusion-related' Au-Cu vein systems (Doyon and Grand Duc Au-Cu) have been characterized using a variety of analytical techniques. Preliminary results indicate gold (as electrum) from both deposits occurs relatively late in the systems as it is primarily observed along fractures in pyrite and gangue minerals. At Grand Duc gold appears to have formed syn- to post-crystallization relative to base metal sulphides (e.g. chalcopyrite, sphalerite, pyrrhotite), whereas base metal sulphides at Doyon are relatively rare. The accessory ore mineral assemblage at Doyon is relatively simple compared to Grand Duc, consisting of petzite (Ag3AuTe2), calaverite (AuTe2), and hessite (Ag2Te), while accessory ore minerals at Grand Duc are comprised of tellurobismuthite (Bi2Te3), volynskite (AgBiTe2), native Te, tsumoite (BiTe) or tetradymite (Bi2Te2S), altaite (PbTe), petzite, calaverite, and hessite. Pyrite trace element distribution maps from representative pyrite grains from Doyon and Grand Duc were collected and confirm petrographic observations that Au occurs relatively late. Pyrite from Doyon appears to have been initially trace-element poor, then became enriched in As, followed by the ore metal stage consisting of Au-Ag-Te-Bi-Pb-Cu enrichment and lastly a Co-Ni-Se(?) stage enrichment. Grand Duc pyrite is more complex with initial enrichments in Co-Se-As (Stage 1) followed by an increase in As-Co(?) concentrations (Stage 2). The ore metal stage (Stage 3) is indicated by another increase in As coupled with Au-Ag-Bi-Te-Sb-Pb-Ni-Cu-Zn-Sn-Cd-In enrichment. The final stage of pyrite growth (Stage 4) is represented by the same element assemblage as Stage 3 but at lower concentrations. Preliminary sulphur isotope data from Grand Duc indicates pyrite, pyrrhotite, and chalcopyrite all have similar delta-34S values (~1.5 � 1 permille) with no core-to-rim variations. Pyrite from Doyon has slightly higher delta-34S values (~2.5 � 1 permille) compared to Grand Duc but similarly does not show much core-to-rim variation. At Grand Duc, the occurrence of Au concentrating along the rim of pyrite grains and associated with an enrichment in As and other metals (Sb-Ag-Bi-Te) shares similarities with porphyry and epithermal deposits, and the overall metal association of Au with Te and Bi is a hallmark of other intrusion-related gold systems. The occurrence of the ore metal-rich rims on pyrite from Grand Duc could be related to fluid boiling which results in the destabilization of gold-bearing aqueous complexes. Pyrite from Doyon does not show this inferred boiling texture but shares characteristics of dissolution-reprecipitation processes, where metals in the pyrite lattice are dissolved and then reconcentrated into discrete mineral phases that commonly precipitate in voids and fractures created during pyrite dissolution.
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6

Kriegel, Francesco. Learning description logic axioms from discrete probability distributions over description graphs (Extended Version). Technische Universität Dresden, 2018. http://dx.doi.org/10.25368/2022.247.

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Description logics in their standard setting only allow for representing and reasoning with crisp knowledge without any degree of uncertainty. Of course, this is a serious shortcoming for use cases where it is impossible to perfectly determine the truth of a statement. For resolving this expressivity restriction, probabilistic variants of description logics have been introduced. Their model-theoretic semantics is built upon so-called probabilistic interpretations, that is, families of directed graphs the vertices and edges of which are labeled and for which there exists a probability measure on this graph family. Results of scientific experiments, e.g., in medicine, psychology, or biology, that are repeated several times can induce probabilistic interpretations in a natural way. In this document, we shall develop a suitable axiomatization technique for deducing terminological knowledge from the assertional data given in such probabilistic interpretations. More specifically, we consider a probabilistic variant of the description logic EL⊥, and provide a method for constructing a set of rules, so-called concept inclusions, from probabilistic interpretations in a sound and complete manner.
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7

Saptsin, Vladimir, and Володимир Миколайович Соловйов. Relativistic quantum econophysics – new paradigms in complex systems modelling. [б.в.], July 2009. http://dx.doi.org/10.31812/0564/1134.

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This work deals with the new, relativistic direction in quantum econophysics, within the bounds of which a change of the classical paradigms in mathematical modelling of socio-economic system is offered. Classical physics proceeds from the hypothesis that immediate values of all the physical quantities, characterizing system’s state, exist and can be accurately measured in principle. Non-relativistic quantum mechanics does not reject the existence of the immediate values of the classical physical quantities, nevertheless not each of them can be simultaneously measured (the uncertainty principle). Relativistic quantum mechanics rejects the existence of the immediate values of any physical quantity in principle, and consequently the notion of the system state, including the notion of the wave function, which becomes rigorously nondefinable. The task of this work consists in econophysical analysis of the conceptual fundamentals and mathematical apparatus of the classical physics, relativity theory, non-relativistic and relativistic quantum mechanics, subject to the historical, psychological and philosophical aspects and modern state of the socio-economic modeling problem. We have shown that actually and, virtually, a long time ago, new paradigms of modeling were accepted in the quantum theory, within the bounds of which the notion of the physical quantity operator becomes the primary fundamental conception(operator is a mathematical image of the procedure, the action), description of the system dynamics becomes discrete and approximate in its essence, prediction of the future, even in the rough, is actually impossible when setting aside the aftereffect i.e. the memory. In consideration of the analysis conducted in the work we suggest new paradigms of the economical-mathematical modeling.
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8

Shmulevich, Itzhak, Shrini Upadhyaya, Dror Rubinstein, Zvika Asaf, and Jeffrey P. Mitchell. Developing Simulation Tool for the Prediction of Cohesive Behavior Agricultural Materials Using Discrete Element Modeling. United States Department of Agriculture, October 2011. http://dx.doi.org/10.32747/2011.7697108.bard.

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The underlying similarity between soils, grains, fertilizers, concentrated animal feed, pellets, and mixtures is that they are all granular materials used in agriculture. Modeling such materials is a complex process due to the spatial variability of such media, the origin of the material (natural or biological), the nonlinearity of these materials, the contact phenomenon and flow that occur at the interface zone and between these granular materials, as well as the dynamic effect of the interaction process. The lack of a tool for studying such materials has limited the understanding of the phenomena relevant to them, which in turn has led to energy loss and poor quality products. The objective of this study was to develop a reliable prediction simulation tool for cohesive agricultural particle materials using Discrete Element Modeling (DEM). The specific objectives of this study were (1) to develop and verify a 3D cohesionless agricultural soil-tillage tool interaction model that enables the prediction of displacement and flow in the soil media, as well as forces acting on various tillage tools, using the discrete element method; (2) to develop a micro model for the DEM formulation by creating a cohesive contact model based on liquid bridge forces for various agriculture materials; (3) to extend the model to include both plastic and cohesive behavior of various materials, such as grain and soil structures (e.g., compaction level), textures (e.g., clay, loam, several grains), and moisture contents; (4) to develop a method to obtain the parameters for the cohesion contact model to represent specific materials. A DEM model was developed that can represent both plastic and cohesive behavior of soil. Soil cohesive behavior was achieved by considering tensile force between elements. The developed DEM model well represented the effect of wedge shape on soil behavior and reaction force. Laboratory test results showed that wedge penetration resistance in highly compacted soil was two times greater than that in low compacted soil, whereas DEM simulation with parameters obtained from the test of low compacted soil could not simply be extended to that of high compacted soil. The modified model took into account soil failure strength that could be changed with soil compaction. A three dimensional representation composed of normal displacement, shear failure strength and tensile failure strength was proposed to design mechanical properties between elements. The model based on the liquid bridge theory. An inter particle tension force measurement tool was developed and calibrated A comprehensive study of the parameters of the contact model for the DEM taking into account the cohesive/water-bridge was performed on various agricultural grains using this measurement tool. The modified DEM model was compared and validated against the test results. With the newly developed model and procedure for determination of DEM parameters, we could reproduce the high compacted soil behavior and reaction forces both qualitatively and quantitatively for the soil conditions and wedge shapes used in this study. Moreover, the effect of wedge shape on soil behavior and reaction force was well represented with the same parameters. During the research we made use of the commercial PFC3D to analyze soil tillage implements. An investigation was made of three different head drillers. A comparison of three commonly used soil tillage systems was completed, such as moldboard plow, disc plow and chisel plow. It can be concluded that the soil condition after plowing by the specific implement can be predicted by the DEM model. The chisel plow is the most economic tool for increasing soil porosity. The moldboard is the best tool for soil manipulation. It can be concluded that the discrete element simulation can be used as a reliable engineering tool for soil-implement interaction quantitatively and qualitatively.
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9

Nadal-Caraballo, Norberto, Madison Yawn, Luke Aucoin, Meredith Carr, Jeffrey Melby, Efrain Ramos-Santiago, Fabian Garcia-Moreno, et al. Coastal Hazards System–Puerto Rico and US Virgin Islands (CHS-PR). Engineer Research and Development Center (U.S.), December 2022. http://dx.doi.org/10.21079/11681/46200.

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The South Atlantic Coastal Study (SACS) was completed by the US Army Corps of Engineers to quantify storm surge and wave hazards allowing for the expansion of the Coastal Hazards System (CHS) to the South Atlantic Division (SAD) domain. The goal of the CHS-SACS was to quantify coastal storm hazards for present conditions and future sea level rise (SLR) scenarios to aid in reducing flooding risk and increasing resiliency in coastal environments. CHS-SACS was completed for three regions within the SAD domain, and this report focuses on the Coastal Hazards System–Puerto Rico and US Virgin Islands (CHS-PR). This study applied the CHS Probabilistic Coastal Hazard Analysis (PCHA) framework for quantifying tropical cyclone (TC) responses, leveraging new atmospheric and hydrodynamic numerical model simulations of synthetic TCs developed explicitly for the CHS-PR region. This report focuses on documenting the PCHA conducted for CHS-PR, including the characterization of storm climate, storm sampling, storm recurrence rate estimation, marginal distributions, correlation and dependence structure of TC atmospheric-forcing parameters, development of augmented storm suites, and assignment of discrete storm weights to the synthetic TCs. As part of CHS-PR, coastal hazards were estimated for annual exceedance frequencies over the range of 10 yr⁻¹ to 10⁻⁴ yr⁻¹.
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Chen, Xin, Yanfeng Ouyang, Ebrahim Arian, Haolin Yang, and Xingyu Ba. Modeling and Testing Autonomous and Shared Multimodal Mobility Services for Low-Density Rural Areas. Illinois Center for Transportation, August 2022. http://dx.doi.org/10.36501/0197-9191/22-013.

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Recent developments in transformative technologies hold the promise to provide holistic solutions for affordable transportation services to rural areas and thus greatly alleviate existing social inequality through efficient planning and management of complex transportation systems and systemwide interactions among multiple modes. To realize the promise, many challenging research questions need to be addressed, which often leads to computationally intractable, large-scale, dynamic/stochastic, discrete optimization models. This project proposes to address some of the challenges by building a series of holistic and tractable models on the design of mobility services, capacity planning, dynamic matching, and routing, as well as pricing. The proposed project is expected to create a new series of planning and management models that can support strategical and operational decisions for large-scale autonomous and shared mobility systems in rural areas. The planned case study and simulation for the Village of Rantoul, Illinois, will lay the foundation for future field implementation.
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