Thematische Bibliographien / Applied mathematics

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Auswahl der wissenschaftlichen Literatur zum Thema „Applied mathematics“

Autor: Grafiati

Veröffentlicht am 4. Juni 2021

Zuletzt aktualisiert am 9. Juni 2025

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Zeitschriftenartikel zum Thema "Applied mathematics"

Smith, Ken, and Peter J. F. Horril. "Applied Mathematics." Mathematical Gazette 74, no. 467 (March 1990): 71. http://dx.doi.org/10.2307/3618868.

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Faddeev, L. D., and S. P. Merkureiv. "New Books: Mathematical Physics and Applied Mathematics." Physics Essays 8, no. 2 (June 1995): 266. http://dx.doi.org/10.4006/1.3029190.

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Pedrotti, Leon S., and John D. Chamberlain. "CORD Applied Mathematics: Hands-On Learning in Context." Mathematics Teacher 88, no. 8 (November 1995): 690a—707. http://dx.doi.org/10.5951/mt.88.8.690a.

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My and José are hurrying to their morning mathematic class. They are excited! Today they are scheduled to do a mathematics-laboratory assignment. Twice a week, their classroom turns into a laboratory where they use real measuting equipment—such as a vernier caliper, a carpenter's square, or a stopwatch. They collect and analyze data. They ee just how the mathematics they learn in the classroom helps them solve real-world problems. They really like these assignments.

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Billinge, H. "Applied Constructive Mathematics: On Hellman's 'Mathematical Constructivism in Spacetime'." British Journal for the Philosophy of Science 51, no. 2 (June 1, 2000): 299–318. http://dx.doi.org/10.1093/bjps/51.2.299.

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Glass, Leon. "Mathematical aspects of physiology, lecture notes in applied mathematics." Mathematical Biosciences 73, no. 2 (April 1985): 309–10. http://dx.doi.org/10.1016/0025-5564(85)90018-5.

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Schaeffer, David G., and Ward Cheney. "Analysis for Applied Mathematics." American Mathematical Monthly 110, no. 6 (June 2003): 550. http://dx.doi.org/10.2307/3647928.

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Parker, Charles, and C. A. Bishop. "Applied Mathematics 'A' Level." Mathematical Gazette 69, no. 447 (March 1985): 53. http://dx.doi.org/10.2307/3616461.

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G., W., and Renato Spigler. "Applied and Industrial Mathematics." Mathematics of Computation 58, no. 197 (January 1992): 455. http://dx.doi.org/10.2307/2153051.

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Kaushal Rana. "Analysis of Applied Mathematics." Integrated Journal for Research in Arts and Humanities 2, no. 3 (May 31, 2022): 62–66. http://dx.doi.org/10.55544/ijrah.2.3.37.

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Mathematics applied to applications involves using mathematics for issues that arise in various fields, e.g., science, engineering, engineering, or other areas, and developing new or better techniques to address the demands of the unique challenges. We consider it applied math to apply maths to problems in the real world with the double purpose of describing observed phenomena and forecasting new yet unknown phenomena. Thus, the focus is on math, e.g., creating new techniques to tackle the issues of the unique challenges and the actual world. The issues arise from a variety of applications, including biological and physical sciences as well as engineering and social sciences. They require knowledge of different branches of mathematics including the analysis of differential equations and stochastics. They are based on mathematical and numerical techniques. Most of our faculty and students work directly with the experimentalists to watch their research findings come to life. This research team investigates mathematical issues arising out of geophysical, chemical, physical, and biophysical sciences. The majority of these problems are explained by time-dependent partial integral or ordinary differential equations. They are also accompanied by complex boundary conditions, interface conditions, and external forces. Nonlinear dynamical systems provide an underlying geometrical and topological model for understanding, identifying, and quantifying the complex phenomena in these equations. The theory of partial differential equations lets us correctly formulate well-posed problems and study the behavior of solutions, which sets the stage for effective numerical simulations. Nonlocal equations result from the macroscopically modeling stochastic dynamical systems characterized by Levy noise and the modeling of long-range interactions. They also provide a better understanding of anomalous diffusions.

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Kondratiev, Yuri. "Applied philosophy in mathematics." Мiждисциплiнарнi дослiдження складних систем, no. 16 (May 23, 2020): 33–43. http://dx.doi.org/10.31392/iscs.2020.16.033.

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Dissertationen zum Thema "Applied mathematics"

Santos, JosÃ Adriano Fernandes dos. "Applied mathematics to geography." Universidade Federal do CearÃ, 2016. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=17058.

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Partindo do cenÃrio interdisciplinar em que a MatemÃtica se encontra, este trabalho se resume a apresentar aplicaÃÃes oriundos da Geografia dentro da contextualizaÃÃo matemÃtica. Os PCNâs (1998), documentos que regem a educaÃÃo atual brasileira, deixa clara importÃncia do trabalho interdisciplinar no ensino, bem como a relevÃncia de um ensinamento contextualizado baseado na pratica e vivÃncia histÃrica do homem. Por sua vez, na Geografia foi visto que a cartografia traz contribuiÃÃes relevantes Ã matemÃtica, e que a trigonometria Ã uma das ferramentas principais utilizadas nesta conjuntura, tanto por parte da geometria euclidiana quanto da geometria nÃo-euclidiana. Assim neste trabalho foram apresentadas algumas aplicaÃÃes retiradas do estudo da cartografia que, com a ajuda da matemÃtica e principalmente da trigonometria (plana e esfÃrica) foram resolvidas. Dando sequÃncia, ainda com foco na cartografia, especificamente no estudo de mapas e projeÃÃes, foi dada Ãnfase Ã ProjeÃÃo CilÃndrica de Mercator e respectivas explicaÃÃes matemÃticas para a chamada arte de projetar num plano, no caso, Ã projeÃÃo da esfera num plano, com suas devidas explicaÃÃes matemÃticas para tal feito. Com o tempo e o surgimento do cÃlculo infinitesimal, foi mostrado aqui a determinaÃÃo da chamada variÃvel de Mercator, e sua origem. Em seguida com a ajuda da Geometria Diferencial dando Ãnfase aos estudos de Gauss, foi apresentada a nÃo isometria entre o plano e a esfera, e que a curvatura gaussiana Ã a funÃÃo definidora para tal fato. AtravÃs das formas fundamentais e do Teorema egrÃgio aqui tambÃm apresentadas, os estudos de Gauss dentro da geometria diferencial foram definidores para a explicaÃÃo mais atual da variÃvel de Mercator, contribuindo assim para o esclarecimento da famosa projeÃÃo feita por Mercator que ficou na histÃria por sua perfeiÃÃo. From the interdisciplinary scenario in which mathematics is, this work comes down to present applications coming from Geography within the mathematical context. The NCP's (1998), documents governing the current Brazilian education, makes clear the importance of interdisciplinary work in education, and the importance of a contextualized teaching based on practical and historical experience of man. In turn, the geography was seen that mapping brings outstanding contributions to mathematics, and trigonometry is one of the main tools used in this context, both by the Euclidean geometry as the non-Euclidean geometry. So in this paper were presented some applications withdrawn from the study of cartography, with the help of mathematics and especially Trigonometry (flat and spherical) were resolved. Continuing, still focusing on cartography, specifically in the study of maps and projections, emphasis was given to Cylindrical Mercator projection and their mathematical explanations for the so-called art of designing a plan in case the projection of the sphere in a plane, with its appropriate mathematical explanations for such a feat. With time and the emergence of infinitesimal calculus, it was shown here to determine the variable called Mercator and its origin. Then with the help of differential geometry emphasizing Gauss studies, it was presented not isometry between the plane and the sphere, and the Gaussian curvature is the defining function for this fact. Through the fundamental forms and egregious Theorem here also presented the Gauss studies in differential geometry were defining for the most current explanation of Mercator variable, thus contributing to the clarification of the famous projection made by Mercator that went down in history for its perfection.

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May, Andrew. "Nonlinear systems in applied mathematics." Thesis, University of Exeter, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.312068.

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Hershberger, Geoffrey D. "APPLIED TEMPERAMENT." UKnowledge, 2018. https://uknowledge.uky.edu/music_etds/126.

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The following document was created in order to promote intonation consensus in ensembles and to better facilitate learning in educational settings. Non-keyboard instruments provide musicians an opportunity to make nearly infinitesimal adjustments to pitch while performing; this creates difficulties for students and challenges even the most seasoned professionals. Non-keyboard musicians struggle their whole lives to play in tune, and even when one knows exactly where they want to place a pitch, technical difficulties can foul any musician's performance. When performing solo, the musician must choose a tuning system that is suitable for the music being performed, and attempt to realize it. When performing in ensembles, the need for consensus and a systematic approach become more apparent. When performing with keyboards, the difficulties are increased as further compromises are required. This research was conducted with the intention to assist non-keyboard instrumentalists in selecting and recreating an appropriate temperament. Additionally, the author hopes that keyboard instrumentalists will be inclined to make a consideration for the non-keyboard instruments when selecting their temperament. The following document contains information useful to those wishing to employ a consistent approach to tuning. Presented here are the acoustic phenomena that have perplexed scholars around the world for the last 2600 years. The history and science of these acoustic questions will be demonstrated and discussed.

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Veprauskas, Amy. "On the dynamic dichotomy between positive equilibria and synchronous 2-cycles in matrix population models." Thesis, The University of Arizona, 2016. http://pqdtopen.proquest.com/#viewpdf?dispub=10124871.

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For matrix population models with nonnegative, irreducible and primitive inherent projection matrices, the stability of the branch of positive equilibria that bifurcates from the extinction equilibrium as the dominant eigenvalue of the inherent projection matrix increases through one is determined by the direction of bifurcation. However, if the inherent projection matrix is imprimitive this bifurcation becomes more complicated. This is the result of the simultaneous departure of multiple eigenvalues from the unit complex circle. Matrix models with imprimitive projection matrices commonly appear in models of semelparous species, which are characterized by one reproductive event that is often followed by death. Due to the imprimitivity of the projection matrix, semelparous Leslie models exhibit two contrasting dynamics, either equilibria in which all age classes are present or synchronized cycles in which age classes are separated temporally. The two-stage semelparous Leslie model has index of imprimitivity two, meaning that two eigenvalues simultaneously leave the unit circle when the dominant eigenvalue increases past one. This model exhibits a dynamic dichotomy in which the two steady states have opposite stability properties. We show that this dynamic dichotomy is a general feature of synchrony models which are characterized by the simultaneous creation of a branch of positive equilibria and a branch of synchronous 2-cycles when the extinction equilibrium destabilizes (Chapter 3). A synchrony model must, necessarily, have index of imprimitivity two but is not limited to models of semelparous species. We provide a specific example of a synchrony model for an iteroparous species which is motivated by observations of a cannibalistic gull population (Chapter 2). We also extend the study of the synchrony model to a Darwinian model which couples population dynamics with the dynamics of a suite of evolving phenotypic traits (Chapter 4). For the evolutionary synchrony model, we show that the dynamic dichotomy occurs provided that fitness, as measured by the spectral radius, is maximized. In addition, we examine the dynamic dichotomy for semelparous species in a continuous-time setting (Chapter 5).

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Kliegl, Markus Vinzenz. "Explorations in the mathematics of inviscid incompressible fluids." Thesis, Princeton University, 2016. http://pqdtopen.proquest.com/#viewpdf?dispub=10010743.

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The main subject of this dissertation is smooth incompressible fluids. The emphasis is on the incompressible Euler equations in all of R 2 or R3, but many of the ideas and results can also be adapted to other hydrodynamic systems, such as the Navier-Stokes or surface quasi-geostrophic (SQG) equations. A second subject is the modeling of moving contact lines and dynamic contact angles in inviscid liquid-vapor-solid systems under surface tension. The dissertation is divided into three independent parts: First, we introduce notation and prove useful identities for studying incompressible fluids in a pointwise Lagrangian sense. The main purpose is to provide a unified treatment of results scattered across the literature. Furthermore, we prove several analogs of Constantin’s local pressure formula for other nonlocal operators, such as the Biot-Savart law and Leray projection. Also, we define and study properties of a Lagrangian locally compact Abelian group in terms of which some nonlocal formulas encountered in fluid dynamics may be interpreted as convolutions. Second, we apply the algebraic theory of scalar polynomial orthogonal invariants to the incompressible Euler equations in two and three dimensions. Using this framework, we give simplified proofs of results of Chae and Vieillefosse. We also investigate other uses of orthogonal transformations, such as diagonalizing the deformation tensor along a particle trajectory, and comment on relative advantages and disadvantages. These techniques are likely to be useful in other orthogonally invariant PDE systems as well. Third, we propose an idealized inviscid liquid-vapor-solid model for the macroscopic study of moving contact lines and dynamic contact angles. Previous work mostly addresses viscous systems and frequently ignores a singular stress present when the contact angle is not at its equilibrium value. We also examine and clarify the role that disjoining pressure plays and outline a program for further research.

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Steingart, Alma. "Conditional inequalities : American pure and applied mathematics, 1940-1975." Thesis, Massachusetts Institute of Technology, 2011. http://hdl.handle.net/1721.1/84367.

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Thesis (Ph. D. in History, Anthropology, and Science, Technology and Society (HASTS))--Massachusetts Institute of Technology, Program in Science, Technology and Society, 2011. Cataloged from PDF version of thesis. Includes bibliographical references (pages 317-336). This study investigates the status of mathematical knowledge in mid-century America. It is motivated by questions such as: when did mathematical theories become applicable to a wide range of fields from medicine to the social science? How did this change occur? I ask after the implications of this transformation for the development of mathematics as an academic discipline and how it affected what it meant to be a mathematician. How did mathematicians understand the relation between abstractions and generalizations on the one hand and their manifestation in concrete problems on the other? Mathematics in Cold War America was caught between the sciences and the humanities. This dissertation tracks the ways this tension between the two shaped the development of professional identities, pedagogical regimes, and the epistemological commitments of the American mathematical community in the postwar period. Focusing on the constructed division between pure and applied mathematics, it therefore investigates the relationship of scientific ideas to academic and governmental institutions, showing how the two are mutually inclusive. Examining the disciplinary formation of postwar mathematics, I show how ideas about what mathematics is and what it should be crystallized in institutional contexts, and how in turn these institutions reshaped those ideas. Tuning in to the ways different groups of mathematicians strove to make sense of the transformations in their fields and the way they struggled to implement their ideological convictions into specific research agendas and training programs sheds light on the co-construction of mathematics, the discipline, and mathematics as a body of knowledge. The relation between pure and applied mathematics and between mathematics and the rest of the sciences were disciplinary concerns as much as they were philosophical musings. As the reconfiguration of the mathematical field during the second half of the twentieth century shows, the dynamic relation between the natural and the human sciences reveals as much about institutions, practices, and nations as it does about epistemological commitments. by Alma Steingart. Ph.D.in History, Anthropology, and Science, Technology and Society (HASTS

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Jones, Piet. "Structure learning of gene interaction networks." Thesis, Stellenbosch : Stellenbosch University, 2014. http://hdl.handle.net/10019.1/86650.

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Thesis (MSc)--Stellenbosch University, 2014. ENGLISH ABSTRACT: There is an ever increasing wealth of information that is being generated regarding biological systems, in particular information on the interactions and dependencies of genes and their regulatory process. It is thus important to be able to attach functional understanding to this wealth of information. Mathematics can potentially provide the tools needed to generate the necessary abstractions to model the complex system of gene interaction. Here the problem of uncovering gene interactions is cast in several contexts, namely uncovering gene interaction patterns using statistical dependence, cooccurrence as well as feature enrichment. Several techniques have been proposed in the past to solve these, with various levels of success. Techniques have ranged from supervised learning, clustering analysis, boolean networks to dynamical Bayesian models and complex system of di erential equations. These models attempt to navigate a high dimensional space with challenging degrees of freedom. In this work a number of approaches are applied to hypothesize a gene interaction network structure. Three di erent models are applied to real biological data to generate hypotheses on putative biological interactions. A cluster-based analysis combined with a feature enrichment detection is initially applied to a Vitis vinifera dataset, in a targetted analysis. This model bridges a disjointed set of putatively co-expressed genes based on signi cantly associated features, or experimental conditions. We then apply a cross-cluster Markov Blanket based model, on a Saccharomyces cerevisiae dataset. Here the disjointed clusters are bridged by estimating statistical dependence relationship across clusters, in an un-targetted approach. The nal model applied to the same Saccharomyces cerevisiae dataset is a non-parametric Bayesian method that detects probeset co-occurrence given a local background and inferring gene interaction based on the topological network structure resulting from gene co-occurance. In each case we gather evidence to support the biological relevance of these hypothesized interactions by investigating their relation to currently established biological knowledge. The various methods applied here appear to capture di erent aspects of gene interaction, in the datasets we applied them to. The targetted approach appears to putatively infer gene interactions based on functional similarities. The cross-cluster-analysis-based methods, appear to capture interactions within pathways. The probabilistic-co-occurrence-based method appears to generate modules of functionally related genes that are connected to potentially explain the underlying experimental dynamics. AFRIKAANSE OPSOMMING: Daar is 'n toenemende rykdom van inligting wat gegenereer word met betrekking tot biologiese stelsels, veral inligting oor die interaksies en afhanklikheidsverhoudinge van gene asook hul regulatoriese prosesse. Dit is dus belangrik om in staat te wees om funksionele begrip te kan heg aan hierdie rykdom van inligting. Wiskunde kan moontlik die gereedskap verskaf en die nodige abstraksies bied om die komplekse sisteem van gene interaksies te modelleer. Hier is die probleem met die beraming van die interaksies tussen gene benader uit verskeie kontekste uit, soos die ontdekking van patrone in gene interaksie met behulp van statistiese afhanklikheid , mede-voorkoms asook funksie verryking. Verskeie tegnieke is in die verlede voorgestel om hierdie probleem te benader, met verskillende vlakke van sukses. Tegnieke het gewissel van toesig leer , die groepering analise, boolean netwerke, dinamiese Bayesian modelle en 'n komplekse stelsel van di erensiaalvergelykings. Hierdie modelle poog om 'n hoë dimensionele ruimte te navigeer met uitdagende grade van vryheid. In hierdie werk word 'n aantal benaderings toegepas om 'n genetiese interaksie netwerk struktuur voor te stel. Drie verskillende modelle word toegepas op werklike biologiese data met die doel om hipoteses oor vermeende biologiese interaksies te genereer. 'n Geteikende groeperings gebaseerde analise gekombineer met die opsporing van verrykte kenmerke is aanvanklik toegepas op 'n Vitis vinifera datastel. Hierdie model verbind disjunkte groepe van vermeende mede-uitgedrukte gene wat gebaseer is op beduidende verrykte kenmerke, hier eksperimentele toestande . Ons pas dan 'n tussen groepering Markov Kombers model toe, op 'n Saccharomyces cerevisiae datastel. Hier is die disjunkte groeperings ge-oorbrug deur die beraming van statistiese afhanklikheid verhoudings tussen die elemente in die afsondelike groeperings. Die nale model was ons toepas op dieselfde Saccharomyces cerevisiae datastel is 'n nie- parametriese Bayes metode wat probe stelle van mede-voorkommende gene ontdek, gegee 'n plaaslike agtergrond. Die gene interaksie is beraam op grond van die topologie van die netwerk struktuur veroorsaak deur die gesamentlike voorkoms gene. In elk van die voorgenome gevalle word ons hipotese vermoedelik ondersteun deur die beraamde gene interaksies in terme van huidige biologiese kennis na te vors. Die verskillende metodes wat hier toegepas is, modelleer verskillende aspekte van die interaksies tussen gene met betrekking tot die datastelle wat ons ondersoek het. In die geteikende benadering blyk dit asof ons vermeemde interaksies beraam gebaseer op die ooreenkoms van biologiese funksies. Waar die a eide gene interaksies moontlik gebaseer kan wees op funksionele ooreenkomste tussen die verskeie gene. In die analise gebaseer op die tussen modelering van gene groepe, blyk dit asof die verhouding van gene in bekende biologiese substelsels gemodelleer word. Dit blyk of die model gebaseer op die gesamentlike voorkoms van gene die verband tussen groepe van funksionele verbonde gene modelleer om die onderliggende dinamiese eienskappe van die experiment te verduidelik.

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Brubaker, Nicholas Denlinger. "Mathematical theory of electro-capillary surfaces." Thesis, University of Delaware, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3594897.

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Historically, electrostatic forces and capillary surfaces have been a main focus of scientific inquiry. Recently, with the move towards miniaturization in technology, systems that include the interplay of these two phenomena have become more relevant than ever. This is because at small scales, capillary and electrostatic forces come to dominate familiar macro scale forces and consequently, govern the behavior of many components used in modern technology. In particular, these electro-capillary systems have been applied to areas such self-assembly, “lab-on-a-chip” devices, microelectromechanical systems and mass spectrometry. In this dissertation, we study two such systems. The first system involves subjecting a planar soap film to a vertically directed electric field. The second is an extension of the first that includes the small effect of gravity (or, similarly, a constant external pressure). Mathematical models for these systems are developed via variational techniques to describe the equilibrium deflection of the soap-film. In contrast to the standard theory, these models include the full effect of capillarity, yielding two prescribed mean curvature problems. These problems are then studied for general and specific domains, using a combination of analytic, asymptotic and numerical techniques. A detailed analysis of the solution set reveals several interesting bifurcation structures. Highlighted areas include a blow-up in the gradient, which occurs at the onset of strictly parametric solutions, and a prediction of the so-called pull-in instability with respect to the aspect ratio of the system, which provides an update to the standard theory. The work here illustrates the effect of including the mean curvature operator in such models and starts to build a general theory of electro-capillary surfaces.

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Li, Song. "Numerical methods for stable inversion of nonlinear systems." Diss., Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/15028.

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Labra, Bahena Luis R. "Multilevel Solution of the Discrete Screened Poisson Equation for Graph Partitioning." Thesis, California State University, Long Beach, 2017. http://pqdtopen.proquest.com/#viewpdf?dispub=10638940.

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A new graph partitioning algorithm which makes use of a novel objective function and seeding strategy, Product Cut, frequently outperforms standard clustering methods. The solution strategy on solving this objective depends on developing a fast solution method for the systems of graph--based analogues of the screened Poisson equation, which is a well-studied problem in the special case of structured graphs arising from PDE discretization. In this work, we attempt to improve the powerful Algebraic Multigrid (AMG) method and build upon the recently introduced Product Cut algorithm. Specifically, we study the consequences of incorporating a dynamic determination of the diffusion parameter by introducing a prior to the objective function. This culminates in an algorithm which seems to partially eliminate an advantage present in the original Product Cut algorithm's slower implementation.

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Bücher zum Thema "Applied mathematics"

Mahan, Gerald Dennis. Applied Mathematics. Boston, MA: Springer US, 2002.

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Chui, Charles K., and Qingtang Jiang. Applied Mathematics. Paris: Atlantis Press, 2013. http://dx.doi.org/10.2991/978-94-6239-009-6.

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Sarkar, Susmita, Uma Basu, and Soumen De, eds. Applied Mathematics. New Delhi: Springer India, 2015. http://dx.doi.org/10.1007/978-81-322-2547-8.

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Mahan, Gerald Dennis. Applied Mathematics. Boston, MA: Springer US, 2002. http://dx.doi.org/10.1007/978-1-4615-1315-5.

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Sheriff, S. A. Applied mathematics. 2nd ed. London: HLT Publications, 1991.

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Phagan, R. Jesse. Applied mathematics. Tinley Park, Ill: Goodheart-Willcox Co., 2010.

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Mahan, Gerald D. Applied mathematics. New York: Kluwer Academic/Plenum Publishers, 2002.

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Horril, P. J. F. Applied mathematics. Harlow: Longman, 1989.

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Matovina, Jim. Applied mathematics. United States?]: [publisher not identified], 2015.

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Logan, J. David. Applied mathematics. 2nd ed. New York: Wiley, 1997.

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Buchteile zum Thema "Applied mathematics"

King, Jerry P. "Applied Mathematics." In The Art of Mathematics, 95–121. Boston, MA: Springer US, 1992. http://dx.doi.org/10.1007/978-1-4899-6339-0_5.

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Vázquez, Luis. "Applied Mathematics (Mathematical Physics, Discrete Mathematics, Operations Research)." In Encyclopedia of Sciences and Religions, 114–19. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-1-4020-8265-8_1248.

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Böhme, S., Walter Fricke, H. Hefele, Inge Heinrich, W. Hofmann, D. Krahn, V. R. Matas, Lutz D. Schmadel, and G. Zech. "Applied Mathematics, Physics." In Literature 1984, Part 2, 112–25. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-662-12346-1_5.

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Böhme, S., U. Esser, W. Fricke, H. Hefele, Inge Heinrich, W. Hofmann, D. Krahn, V. R. Matas, Lutz D. Schmadel, and G. Zech. "Applied Mathematics, Physics." In Literature 1985, Part 1, 127–42. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-662-12352-2_5.

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Wielen, Roland. "Applied Mathematics, Physics." In Astronomy and Astrophysics Abstracts, 120–32. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-662-12355-3_5.

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Böhme, S., U. Esser, H. Hefele, I. Heinrich, W. Hofmann, D. Krahn, V. R. Matas, L. D. Schmadel, and G. Zech. "Applied Mathematics, Physics." In Astronomy and Astrophysics Abstracts, 124–42. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-662-12358-4_5.

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Esser, U., H. Hefele, I. Heinrich, W. Hofmann, D. Krahn, V. R. Matas, L. D. Schmadel, and G. Zech. "Applied Mathematics, Physics." In Literature 1987, Part 2, 110–23. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-662-12361-4_5.

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Esser, U., H. Hefele, Inge Heinrich, W. Hofmann, D. Krahn, V. R. Matas, Lutz D. Schmadel, and G. Zech. "Applied Mathematics, Physics." In Astronomy and Astrophysics Abstracts, 126–43. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-662-12364-5_5.

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Esser, U., H. Hefele, Inge Heinrich, W. Hofmann, D. Krahn, V. R. Matas, Lutz D. Schmadel, and G. Zech. "Applied Mathematics, Physics." In Astronomy and Astrophysics Abstracts, 142–59. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-662-12367-6_5.

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Burkhardt, G., U. Esser, H. Hefele, I. Heinrich, W. Hofmann, D. Krahn, V. R. Matas, L. D. Schmadel, R. Wielen, and G. Zech. "Applied Mathematics, Physics." In Literature 1989, Part 1, 119–34. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-662-12370-6_5.

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Konferenzberichte zum Thema "Applied mathematics"

Zhang, Chao. "Research on the Coherence of Analytical Courses in Mathematics and Applied Mathematics Major." In 2024 14th International Conference on Information Technology in Medicine and Education (ITME), 933–37. IEEE, 2024. https://doi.org/10.1109/itme63426.2024.00188.

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Xiaoyuan, Luo, and Liu Jun. "Review of Mathematical Modeling in Applied Mathematics Education." In 2013 Fourth International Conference on Intelligent Systems Design and Engineering Applications (ISDEA). IEEE, 2013. http://dx.doi.org/10.1109/isdea.2013.530.

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Miao, Rong. "Analysis of the Applied Talents Cultivation Mode of Mathematics and Applied Mathematics." In 2018 4th International Conference on Education Technology, Management and Humanities Science (ETMHS 2018). Paris, France: Atlantis Press, 2018. http://dx.doi.org/10.2991/etmhs-18.2018.25.

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Zhang, Gongsheng. "Application of the Mathematics Modeling Thought in Mathematics and Applied Mathematics." In International Conference on Education, Management, Computer and Society. Paris, France: Atlantis Press, 2016. http://dx.doi.org/10.2991/emcs-16.2016.294.

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"INTRODUCTION: MATHEMATICS APPLIED TO FINANCE." In Proceedings of the Tenth General Meeting. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704276_others05.

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Smetanová, Dana. "APPLIED MATHEMATICS EXAMPLES IN LECTURES." In 13th International Technology, Education and Development Conference. IATED, 2019. http://dx.doi.org/10.21125/inted.2019.0867.

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MALLAT, STÉPHANE. "APPLIED MATHEMATICS MEETS SIGNAL PROCESSING." In Proceedings of the International Conference on Fundamental Sciences: Mathematics and Theoretical Physics. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812811264_0006.

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Acharya, Madhvi. "THE ROLE OF MATHEMATICS IN ADVANCING ARTIFICIAL INTELLIGENCE: A THEORETICAL AND APPLIED PERSPECTIVE." In Transforming Knowledge: A Multi-disciplinary Research on Integrative Learning Across Disciplines, 158–64. BSSS Publication, 2025. https://doi.org/10.51767/ic250511.

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Annotation:

Mathematics is the backbone of AI. It offers the foundation for algorithms, innovations, learning models, and restores efficient decision-making processes in creating intelligent systems. This paper discusses key mathematical areas that support AI, such as linear algebra, the theory of probability, calculus, graph theory, and optimization. It illustrates how basic mathematical principles enable machine learning, deep learning, and data-driven decision-making. Additionally, the paper investigates real-time AI applications in health, finance, and autonomous systems, pointing to the intractable requirement for a fusion of mathematic reasoning with novel AI progress. Finally, it addresses some modern mathematical questions regarding AI and the mathematical work that shall inform the development of intelligent systems with a view to the future.

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Miao, Rong. "Applied Value of Mathematical Modeling Thought in Advanced Mathematics Teaching." In 6th International Conference on Social Science, Education and Humanities Research (SSEHR 2017). Paris, France: Atlantis Press, 2018. http://dx.doi.org/10.2991/ssehr-17.2018.39.

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Sun, Hao. "Applied Mathematics Methods in Mathematics Teaching in Secondary Vocational School." In 2022 International Joint Conference on Information and Communication Engineering (JCICE). IEEE, 2022. http://dx.doi.org/10.1109/jcice56791.2022.00033.

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Berichte der Organisationen zum Thema "Applied mathematics"

Hammer, Peter L. Discrete Applied Mathematics. Fort Belvoir, VA: Defense Technical Information Center, May 1993. http://dx.doi.org/10.21236/ada273552.

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McClure, Donald E. Fellowship in Applied Mathematics. Fort Belvoir, VA: Defense Technical Information Center, October 1989. http://dx.doi.org/10.21236/ada232742.

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Steinberg, Stanly. Symbol Manipulation and Applied Mathematics. Fort Belvoir, VA: Defense Technical Information Center, March 1986. http://dx.doi.org/10.21236/ada179571.

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Olver, Frank W. Fundamental Research in Applied Mathematics. Fort Belvoir, VA: Defense Technical Information Center, February 1988. http://dx.doi.org/10.21236/ada193668.

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Boisvert, Ronald F. Applied and computational mathematics division:. Gaithersburg, MD: National Institute of Standards and Technology, 2011. http://dx.doi.org/10.6028/nist.ir.7762.

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Boisvert, Ronald F. Applied and computational mathematics division:. Gaithersburg, MD: National Institute of Standards and Technology, May 2019. http://dx.doi.org/10.6028/nist.ir.8251.

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Boisvert, Ronald F. Applied and Computational Mathematics Division:. Gaithersburg, MD: National Institute of Standards and Technology, April 2020. http://dx.doi.org/10.6028/nist.ir.8306.

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Jen, E., M. Alber, R. Camassa, W. Choi, J. Crutchfield, D. Holm, G. Kovacic, and J. Marsden. Applied mathematics of chaotic systems. Office of Scientific and Technical Information (OSTI), July 1996. http://dx.doi.org/10.2172/257451.

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Boisvert, Ronald F. Applied and Computational Mathematics Division:. Gaithersburg, MD: National Institute of Standards and Technology, 2022. http://dx.doi.org/10.6028/nist.ir.8423.

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Boisvert, Ronald F. Applied and Computational Mathematics Division:. Gaithersburg, MD: National Institute of Standards and Technology, 2024. http://dx.doi.org/10.6028/nist.ir.8518.

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