Bibliografias temáticas / Mathematical analysis - functional analysis

Literatura científica selecionada sobre o tema "Mathematical analysis - functional analysis"

Autor: Grafiati
Publicado: 26 de julho de 2024

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Artigos de revistas sobre o assunto "Mathematical analysis - functional analysis"

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Olteanu, Octav. "Special Issue of Symmetry: “Symmetry in Mathematical Analysis and Functional Analysis”". Symmetry 14, n.º 12 (16 de dezembro de 2022): 2665. http://dx.doi.org/10.3390/sym14122665.

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De Haas, W. Bas, José Pedro Magalhães, Frans Wiering e Remco C. Veltkamp. "Automatic Functional Harmonic Analysis". Computer Music Journal 37, n.º 4 (dezembro de 2013): 37–53. http://dx.doi.org/10.1162/comj_a_00209.

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Music scholars have been studying tonal harmony intensively for centuries, yielding numerous theories and models. Unfortunately, a large number of these theories are formulated in a rather informal fashion and lack mathematical precision. In this article we present HarmTrace, a functional model of Western tonal harmony that builds on well-known theories of tonal harmony. In contrast to other approaches that remain purely theoretical, we present an implemented system that is evaluated empirically. Given a sequence of symbolic chord labels, HarmTrace automatically derives the harmonic relations between chords. For this, we use advanced functional programming techniques that are uniquely available in the Haskell programming language. We show that our system is fast, easy to modify and maintain, robust against noisy data, and that its harmonic analyses comply with Western tonal harmony theory.
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Xiaoqin Li. "Equilibrium analysis in game theory using nonlinear functional analysis techniques". Journal of Electrical Systems 20, n.º 3 (25 de abril de 2024): 1099–110. http://dx.doi.org/10.52783/jes.3437.

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Game theory provides a mathematical framework for analyzing the tactical choices of rational decision makers. The idea of equilibrium, which states that no player has a motivation to change their existing approach given the strategies of other players, is one of the core ideas of game theory. This study examines a type of undirected graph-based distributed quadratic game. The problem of communication topology constraints is presented and nonlinear dynamics with uncertain time-dependent perturbations are present in the participant's dynamics. Based on a high-gain observer approach, a distributed Nash equilibrium (NE) finding technique is given, and the Lyapunov stability theory is used to study the convergence. It represents that every player approximates the positions of their rival players and that there are differences between the NE and the placements of the minor limitation that finally restricts the players. In addition, chattering problems are eliminated since the offered theory's formulation employs the hyperbolic tangent function to control the perturbation rather than the signum function. In an imitation of the oligopoly match, five enterprises manufacture identical materials in a duopoly market framework; this is done to confirm the effectiveness of the recommended strategy. Our results provide novel perspectives and methods for understanding complicated strategic situations, helping to close the gap between mathematical theory and real-world applications.
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Kreyszig, Erwin. "Book Review: Applied functional analysis (Applications to mathematical physics)". Bulletin of the American Mathematical Society 33, n.º 03 (1 de julho de 1996): 403–8. http://dx.doi.org/10.1090/s0273-0979-96-00672-6.

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5

Man, Xiaolin, e Colby C. Swan. "A Mathematical Modeling Framework for Analysis of Functional Clothing". Journal of Engineered Fibers and Fabrics 2, n.º 3 (setembro de 2007): 155892500700200. http://dx.doi.org/10.1177/155892500700200302.

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In the analysis and design of functional clothing systems, it is helpful to quantify the effects of a system on a wearer's physical performance capabilities. Toward this end, a clothing modeling framework for quantifying the mechanical interactions between a given clothing system design and a specific wearer performing defined physical tasks is proposed. The modeling framework consists of three interacting modules: (1) a macroscale fabric mechanics/dynamics model; (2) a collision detection and contact correction module; and (3) a human motion module. In the proposed framework, the macroscopic fabric model is based on a rigorous large deformation continuum-degenerated shell theory representation. Material models that capture the stress-strain behavior of different clothing fabrics are used in the continuum shell framework. The collision and contact module enforces the impenetrability constraint between the fabric and human body and computes the associated contact forces between the two. The human body is represented in the current framework as an assemblage of overlapping ellipsoids that undergo rigid body motions consistent with human motions while performing actions such as walking, running, or jumping. The transient rigid body motions of each ellipsoidal body segment in time are determined using motion capture technology. The integrated modeling framework is then exercised to quantify the resistance that the clothing exerts on the wearer during the specific activities under consideration. Current results from the framework are presented and its intended applications are discussed along with some of the key challenges remaining in clothing system modeling.
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Alshwaikh, Jehad. "Towards a systemic functional analysis of mathematical visual forms". Research in Mathematics Education 10, n.º 1 (março de 2008): 87–88. http://dx.doi.org/10.1080/14794800801916770.

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Tamilvanan, K., Nazek Alessa, K. Loganathan, G. Balasubramanian e Ngawang Namgyel. "General Solution and Stability of Additive-Quadratic Functional Equation in IRN-Space". Journal of Function Spaces 2021 (3 de agosto de 2021): 1–9. http://dx.doi.org/10.1155/2021/8019135.

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The investigation of the stabilities of various types of equations is an interesting and evolving research area in the field of mathematical analysis. Recently, there are many research papers published on this topic, especially additive, quadratic, cubic, and mixed type functional equations. We propose a new functional equation in this study which is quite different from the functional equations already dealt in the literature. The main feature of the equation dealt in this study is that it has three different solutions, namely, additive, quadratic, and mixed type functions. We also prove that the stability results hold good for this equation in intuitionistic random normed space (briefly, IRN-space).
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Yi, Zhong, e Cheng Zhi Yuan. "Mathematical Analysis on Helicoids Architectural Form". Advanced Materials Research 790 (setembro de 2013): 273–77. http://dx.doi.org/10.4028/www.scientific.net/amr.790.273.

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In a sense, architecture may be called as a geometric figure. Although architectural forms are very different, the form from one kind of architecture to another kind of architecture is equivalent to one kind of mathematical transformation in view of mathematics; for example, the transformation between a cube architecture and a spherical architecture belongs to a topological transformation. Currently, many sculptural features appear in the architecture design, which may be called as the nonlinear architecture. Curves and curved surfaces are widely used in the architecture modeling. Moreover, functional spaces are divided inside the architecture shell according to requirements. Architects are inclined to use a mathematical theory especially the geometrical knowledge in an architecture design. However, architects can not imagine many artistic geometric figures in geometry. Besides, such wonderful geometric figures always include some miraculous mathematical and physical properties.
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Folland, Gerald B., Peter D. Lax, John Wiley, Yuli Eidelman, Vitaly Milman e Antonis Tsolomitis. "Functional Analysis". American Mathematical Monthly 112, n.º 10 (1 de dezembro de 2005): 937. http://dx.doi.org/10.2307/30037653.

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Dudek, Ewa. "Functional Analysis Of A Selected Airport’s System". Journal of KONBiN 35, n.º 1 (1 de novembro de 2015): 35–42. http://dx.doi.org/10.1515/jok-2015-0037.

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Abstract In this paper two selected airport’s systems (Flight Information System and Public Address Voice Annunciation) are defined and described. Then they are used to create an integrated unit, with the presentation of its way of functioning and a schematic picture. The author names main purposes of the integration process, serving to counteract negative consequences arising from implementation of the increasing number of systems on transport objects. In the following part of the article functional analysis of the integrated unit is carried out, defining system’s possible states of work and relations between them. Utilization of mathematical apparatus allows to calculate probabilities of system staying in the respective states, as well as system’s time indexes. Presented results are a fundament for the further analysis of this matter.
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Teses / dissertações sobre o assunto "Mathematical analysis - functional analysis"

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Izquierdo, Ángel Cabrera. "A functional analysis of categorization". Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/30522.

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Reumerman, Richard A. "Functional and mathematical analysis of the glyoxylate shunt in Streptomyces coelicolor". Thesis, University of Strathclyde, 2015. http://oleg.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=26435.

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Streptomyces coelicolor is the model organism for the genus Streptomyces, which produces many bioactive secondary metabolites with clinical applications. Based on work done in Escherichia coli, the glyoxylate shunt was thought to be the main anapleurotic pathway in S. coelicolor during growth on fatty acids and therefore an important pathway in providing precursors for secondary metabolism. The S. coelicolor genome contains genes for a second anapleurotic pathway, the ethylmalonyl-CoA pathway. The relative importance of both to anapleurosis in streptomycete metabolism was unclear. The function of the glyoxylate shunt was investigated in this thesis using sequence analysis, genetic manipulation, transcriptomics and mathematical modelling. Analysis of orthologues of aceA, ccr and genes encoding tricarboxylic acid (TCA) cycle genes revealed that all are subject to a similar level of purifying selection pressure. The operons of the glyoxylate shunt and the ethylmalonyl-CoA pathway share a 15 bp palindromic motif in their upstream sequences, which was also found upstream of other genes. This suggests an overlap in regulation and thus an overlap in function. The sequence analysis is contradicted by results of experiments with an aceA⁻ aceB1⁻ mutant, which did not display a phenotype during growth on Tween 40, a model carbon source for fatty acids. Results obtained by total RNA sequencing indicate that the ethylmalonyl-CoA pathway is the main anapleurotic pathway during growth of S. coelicolor on fatty acids whereas expression of the glyoxylate shunt is minimal. This apparent contradiction is resolved by hypothesising that the ethylmalonyl-CoA pathway is the main anapleurotic pathway, but that the glyoxylate shunt provides a backup when acyl-CoA thioesters are withdrawn from the ethylmalonyl-CoA pathway for secondary metabolite biosynthesis. Enzymes of the isocitrate branchpoint were isolated following heterologous expression and analysed. The resulting kinetic parameters, as well as their specific activities measured during growth on Tween 40 and additional data from literature, were used to set up a mathematical model of the TCA cycle and the glyoxylate shunt. Simulations of this model predicted that, as growth proceeds from early to mid and late exponential phase, the relative concentrations of TCA cycle intermediates changed from promoting gluconeogenesis to accomodating secondary metabolism. Further model refinement is needed using data on the flux through the ethylmalonyl- CoA pathway as these were unavailable at the time of writing.
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Li, Ben. "Müller Density-Matrix-Functional Theory: Existence of Solutions and their Properties". Thesis, Uppsala universitet, Analys och tillämpad matematik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-190518.

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Awunganyi, John. "A study of optimization in Hilbert Space". CSUSB ScholarWorks, 1998. https://scholarworks.lib.csusb.edu/etd-project/1459.

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Zhang, Bairu. "Functional data analysis in orthogonal designs with applications to gait patterns". Thesis, Queen Mary, University of London, 2018. http://qmro.qmul.ac.uk/xmlui/handle/123456789/44698.

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This thesis presents a contribution to the active research area of functional data analysis (FDA) and is concerned with the analysis of data from complex experimental designs in which the responses are curves. High resolution, closely correlated data sets are encountered in many research fields, but current statistical methodologies often analyse simplistic summary measures and therefore limit the completeness and accuracy of conclusions drawn. Specifically the nature of the curves and experimental design are not taken into account. Mathematically, such curves can be modelled either as sample paths of a stochastic process or as random elements in a Hilbert space. Despite this more complex type of response, the structure of experiments which yield functional data is often the same as in classical experimentation. Thus, classical experimental design principles and results can be adapted to the FDA setting. More specifically, we are interested in the functional analysis of variance (ANOVA) of experiments which use orthogonal designs. Most of the existing functional ANOVA approaches consider only completely randomised designs. However, we are interested in more complex experimental arrangements such as, for example, split-plot and row-column designs. Similar to univariate responses, such complex designs imply that the response curves for different observational units are correlated. We use the design to derive a functional mixed-effects model and adapt the classical projection approach in order to derive the functional ANOVA. As a main result, we derive new functional F tests for hypotheses about treatment effects in the appropriate strata of the design. The approximate null distribution of these tests is derived by applying the Karhunen- Lo`eve expansion to the covariance functions in the relevant strata. These results extend existing work on functional F tests for completely randomised designs. The methodology developed in the thesis has wide applicability. In particular, we consider novel applications of functional F tests to gait analysis. Results are presented for two empirical studies. In the first study, gait data of patients with cerebral palsy were collected during barefoot walking and walking with ankle-foot orthoses. The effects of ankle-foot orthoses are assessed by functional F tests and compared with pointwise F tests and the traditional univariate repeated-measurements ANOVA. The second study is a designed experiment in which a split-plot design was used to collect gait data from healthy subjects. This is commonly done in gait research in order to better understand, for example, the effects of orthoses while avoiding confounded analysis from the high variability observed in abnormal gait. Moreover, from a technical point of view the study may be regarded as a real-world alternative to simulation studies. By using healthy individuals it is possible to collect data which are in better agreement with the underlying model assumptions. The penultimate chapter of the thesis presents a qualitative study with clinical experts to investigate the utility of gait analysis for the management of cerebral palsy. We explore potential pathways by which the statistical analyses in the thesis might influence patient outcomes. The thesis has six chapters. After describing motivation and introduction in Chapter 1, mathematical representations of functional data are presented in Chapter 2. Chapter 3 considers orthogonal designs in the context of functional data analysis. New functional F tests for complex designs are derived in Chapter 4 and applied in two gait studies. Chapter 5 is devoted to a qualitative study. The thesis concludes with a discussion which details the extent to which the research question has been addressed, the limitations of the work and the degree to which it has been answered.
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Miranda, Navarro Maria. "Comparative Study of Several Bases in Functional Analysis". Thesis, Linköpings universitet, Matematik och tillämpad matematik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-150462.

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From the beginning of the study of spaces in functional analysis, bases have been an indispensable tool for operating with vectors and functions over a concrete space. Bases can be organized by types, depending on their properties. This thesis is intended to give an overview of some bases and their relations. We study Hamel basis, Schauder basis and Orthonormal basis; we give some properties and compare them in different spaces, explaining the results. For example, an infinite dimensional Hilbert space will never have a basis which is a Schauder basis and a Hamel basis at the same time, but if this space is separable it has an orthonormal basis, which is also a Schauder basis. The project deals mainly with Banach spaces, but we also talk about the case when the space is a pre Hilbert space.
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Hadjipantelis, Pantelis-Zenon. "Functional data analysis in phonetics". Thesis, University of Warwick, 2013. http://wrap.warwick.ac.uk/62527/.

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The study of speech sounds has established itself as a distinct area of research, namely Phonetics. This is because speech production is a complex phenomenon mediated by the interaction of multiple components of a linguistic and non-linguistic nature. To investigate such phenomena, this thesis employs a Functional Data Analysis framework where speech segments are viewed as functions. FDA treats functions as its fundamental unit of analysis; the thesis takes advantage of this, both in conceptual as well as practical terms, achieving theoretical coherence as well as statistical robustness in its insights. The main techniques employed in this work are: Functional principal components analysis, Functional mixed-effects regression models and phylogenetic Gaussian process regression for functional data. As it will be shown, these techniques allow for complementary analyses of linguistic data. The thesis presents a series of novel applications of functional data analysis in Phonetics. Firstly, it investigates the influence linguistic information carries on the speech intonation patterns. It provides these insights through an analysis combining FPCA with a series of mixed effect models, through which meaningful categorical prototypes are built. Secondly, the interplay of phase and amplitude variation in functional phonetic data is investigated. A multivariate mixed effects framework is developed for jointly analysing phase and amplitude information contained in phonetic data. Lastly, the phylogenetic associations between languages within a multi-language phonetic corpus are analysed. Utilizing a small subset of related Romance languages, a phylogenetic investigation of the words' spectrograms (functional objects defined over two continua simultaneously) is conducted to showcase a proof-of-concept experiment allowing the interconnection between FDA and Evolutionary Linguistics.
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Patti, S. "Mathematical Modelling, Simulation and Statistical Analysis of Crystallization processes". Doctoral thesis, Università degli Studi di Milano, 2008. http://hdl.handle.net/2434/152008.

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In this thesis a specific birth and growth process is analyzed; namely a mass crystallization process, where growth is driven by supersaturation only. Based on purely physical grounds, a multifronts moving boundary model is derived and a non-linear condition for the concentration arises on the boundary. The deterministic growth model is completed by considering stochastic nucleations in space and time. A new formulation of the deterministic process based on the Schwartz distributions is proposed. This formulation is well adapted for a numerical solution in a multi-fronts framework and a fixed grid, since it gives a global description of the evolution of all the crystals in a single equation. Simulations are performed for different sets of values of the physical parameters, also for extreme cases where real experiments would be unfeasible. The coupling of the growth dynamics with the evolution of the underlying field of the concentration of matter finally causes the stochastic geometry of the crystals. By collecting observations from independent simulations, the relationship between the physical parameters of the model and the final morphology of the system is analyzed. Finally, the inverse problem of estimation of the initial concentration, given a target final distribution of sizes, is solved by applying functional data analysis techniques. The rigorous mathematical description of the crystallization phenomena and the morphological analysis give the possibility to experimentalists to design optimal experiments and to foresee the behaviour of the system.
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Blower, G. "A topic in functional analysis". Thesis, University of Oxford, 1989. http://ora.ox.ac.uk/objects/uuid:0724199d-41fd-48f1-882c-19602576a2a0.

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We introduce the class AUMD of Banach spaces X for which X-valued analytic martingales converge unconditionally. We shew that various possible definitions of this class are equivalent by methods of martingale decomposition. We shew that such X have finite cotype and are q-complex uniformly convex in the sense of Garling. Using multipliers we shew that analytic martingales valued in L1 converge unconditionally and that AUMD spaces have the analytic Radon-Nikodym property. We shew that X has the AUMD property if and only if strong Hbrmander-Mihlin multipliers are bounded on the Hardy space H1x(T). We achieve this by representing multipliers as martingale transforms. It is shewn that if X is in AUMD and is of cotype two then X has the Paley Theorem property. Using an isomorphism result we shew that if A is an injective operator system on a separable Hilbert space and P a completely bounded projection on A, then either PA or (I-P)A is completely boundedly isomorphic to A. The finite-dimensional version of this result is deduced from Ramsey's Theorem. It is shewn that B(e2 is primary. It is shewn that weakly compact homomorphisms T from the 2 disc algebra into B(e2 are necessarily compact. An explicit form for such T is obtained using spectral projections and it is deduced that such T are absolutely summing.
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Sharikov, Evgenii. "Conditions for global minimum through abstract convexity". Thesis, University of Ballarat, 2008. http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/45930.

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The theory of abstract convexity generalizes ideas of convex analysis by using the notion of global supports and the global definition of subdifferential. In order to apply this theory to optimization, we need to extend subdifferential calculus and separation properties into the area of abstract convexity.
Doctor of Philosophy
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Livros sobre o assunto "Mathematical analysis - functional analysis"

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Leszek, Demkowicz, ed. Applied functional analysis. 2a ed. Boca Raton: Chapman & Hall/CRC, 2010.

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2

Şuhubi, Erdoğan S. Functional Analysis. Dordrecht: Springer Netherlands, 2003.

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Jain, P. K. Functional analysis. New York: J. Wiley, 1995.

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4

Milojević, P. S. Nonlinear functional analysis. New York: M. Dekker, 1990.

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Stein, Elias M. Functional analysis: Introduction to further topics in analysis. Princeton: Princeton University Press, 2011.

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Rassias, Themistocles M., e Janusz Brzdek, eds. Functional Equations in Mathematical Analysis. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-0055-4.

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Rassias, Themistocles M. Functional equations in mathematical analysis. New York: Springer, 2012.

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8

Lang, Serge. Real and functional analysis. 3a ed. New York: Springer-Verlag, 1993.

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Lang, Serge. Real and functional analysis. 3a ed. New York: Springer-Verlag, 1993.

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10

Shilov, G. E. Elementary functional analysis. New York: Dover Publications, 1996.

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Capítulos de livros sobre o assunto "Mathematical analysis - functional analysis"

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Baaquie, Belal Ehsan. "Functional Analysis". In Mathematical Methods and Quantum Mathematics for Economics and Finance, 289–320. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-6611-0_13.

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Assous, Franck, Patrick Ciarlet e Simon Labrunie. "Basic Applied Functional Analysis". In Applied Mathematical Sciences, 73–105. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-70842-3_2.

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Alpay, Daniel. "Complements in Functional Analysis". In Chapman Mathematical Notes, 405–517. Cham: Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-51822-5_6.

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Bronshtein, Ilja N., Konstantin A. Semendyayev, Gerhard Musiol e Heiner Muehlig. "Functional Analysis". In Handbook of Mathematics, 594–639. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-05382-9_12.

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Bronshtein, I. N., K. A. Semendyayev, Gerhard Musiol e Heiner Mühlig. "Functional Analysis". In Handbook of Mathematics, 654–700. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46221-8_12.

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Zeidler, Eberhard. "Self-Adjoint Operators, the Friedrichs Extension, and the Partial Differential Equations of Mathematical Physics". In Applied Functional Analysis, 253–424. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-0815-0_5.

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Milman, Vitali. "From Functional Analysis to Asymptotic Geometric Analysis". In History of the Mathematical Sciences, 225–36. Gurgaon: Hindustan Book Agency, 2004. http://dx.doi.org/10.1007/978-93-86279-16-3_17.

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Evans, Lawrence. "Functional Analysis". In Graduate Studies in Mathematics, 719–29. Providence, Rhode Island: American Mathematical Society, 2010. http://dx.doi.org/10.1090/gsm/019/16.

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Leoni, Giovanni. "Functional analysis". In Graduate Studies in Mathematics, 493–506. Providence, Rhode Island: American Mathematical Society, 2009. http://dx.doi.org/10.1090/gsm/105/17.

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Assous, Franck, Patrick Ciarlet e Simon Labrunie. "Complements of Applied Functional Analysis". In Applied Mathematical Sciences, 107–45. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-70842-3_3.

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Trabalhos de conferências sobre o assunto "Mathematical analysis - functional analysis"

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Matveev, Sergey K., Nurbulat Zh Jaichibekov e Bakyt S. Shalabayeva. "Mathematical model of two-layer in pipe". In INTERNATIONAL CONFERENCE “FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS” (FAIA2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5000669.

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Canak, Ibrahim. "Preface Analysis and Functional Analysis". In THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5136121.

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Ashyralyev, Allaberen, e Charyyar Ashyralyyev. "Preface of Numerical Functional Analysis". In THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5136163.

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Sulaiman, W. T., Theodore E. Simos, George Psihoyios, Ch Tsitouras e Zacharias Anastassi. "Functional Inequalities for Incomplete q-Gamma Function". In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636944.

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Chuyko, Halyna I. "Functional analysis in Lviv after 1945". In Lvov Mathematical School in the Period 1915-45. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2009. http://dx.doi.org/10.4064/bc87-0-6.

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Glöckner, Helge. "Aspects of p-Adic Non-Linear Functional Analysis". In p-ADIC MATHEMATICAL PHYSICS: 2nd International Conference. AIP, 2006. http://dx.doi.org/10.1063/1.2193126.

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Crouzeix, Michel, Theodore E. Simos, George Psihoyios, Ch Tsitouras e Zacharias Anastassi. "Functional Calculus and Numerical Analysis". In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636662.

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Char, Bruce W., e Stephen M. Watt. "Representing and Characterizing Handwritten Mathematical Symbols through Succinct Functional Approximation". In Ninth International Conference on Document Analysis and Recognition (ICDAR 2007) Vol 2. IEEE, 2007. http://dx.doi.org/10.1109/icdar.2007.4377105.

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Yekula, Ravi K., Daniel A. McAdams e Robert B. Stone. "Functional and Mathematical Equivalence of Mechanisms: A Novel Approach to Integrating Synthesis and Design Analysis". In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/dtm-48663.

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The objective of our research is to produce classical engineering design analysis models in conjunction with the employment of function based synthesis techniques. As a part of this goal, we define a design approach to construct parametric design models from functional models. Such an approach allows a natural progression from functional product models, to synthesis, to analysis, and then to initial parameter specification. An empirical study is performed to gather product data from a jigsaw and a palm sander. Our method starts by creating a black box model and a functional model of a product. From the functional model, a critical flow and an associated function chain are identified. The next step is to express each component at a functional level. Following that, components are mapped to equations describing their performance and finally, functions are mapped to equations. We analyze product data that is collected following the above described steps and discover functional and mathematical similarities between a scotch yoke mechanism in a jigsaw and an eccentric cam in a palm sander; in this case, two mechanisms used to perform the same function. We derive general performance equations for functions based on the components that are functionally similar but differing in form.
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Russo, Bernard. "Derivations and projections on Jordan triples: An introduction to nonassociative algebra, continuous cohomology, and quantum functional analysis". In V International Course of Mathematical Analysis in Andalusia. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789814699693_0004.

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Relatórios de organizações sobre o assunto "Mathematical analysis - functional analysis"

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Kuropiatnyk, D. I. Actuality of the problem of parametric identification of a mathematical model. [б. в.], dezembro de 2018. http://dx.doi.org/10.31812/123456789/2885.

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The purpose of the article is to study the possibilities of increasing the efficiency of a mathematical model by identifying the parameters of an object. A key factor for parametrization can be called the consideration of properties of the values of the model at a specific time point, which allows a deeper analysis of data dependencies and correlation between them. However, such a technique does not always work, because in advance it is impossible to predict that the parameters can be substantially optimized. In addition, it is necessary to take into account the fact that minimization reduces the values of parameters without taking into account their real physical properties. The correctness of the final values will be based on dynamically selected parameters, which allows you to modify the terms of use of the system in real time. In the development process, the values of experimentally obtained data with the model are compared, which allows you to understand the accuracy of minimization. When choosing the most relevant parameters, various minimization functions are used, which provides an opportunity to cover a wide range of theoretical initial situations. Verification of the correctness of the decision is carried out with the help of a quality function, which can identify the accuracy and correctness of the optimized parameters. It is possible to choose different types of functional quality, depending on the characteristics of the initial data. The presence of such tools during parametrization allows for varied analysis of the model, testing it on various algorithms, data volumes and conditions of guaranteed convergence of functional methods.
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van der Mensbrugghe, Dominique, e Jeffrey C. Peters. Volume Preserving CES and CET Formulations. GTAP Working Paper, maio de 2020. http://dx.doi.org/10.21642/gtap.wp87.

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As economists are increasingly working across disciplines, they are assessing alternative mathematical formulations to more closely align with the results from these disciplines. Two of the most widely used functional forms in quantitative economic analysis are the constant-elasticity-of-substitution (CES) and constant-elasticity-of-transformation (CET) functions. However, neither functional form preserves volume additivity, which may be a desirable feature in a number of contexts including labor and land allocation, energy systems, etc. This paper explores two alternatives to the ubiquitous CES and CET formulations, which have many of the same characteristics in terms of ease of implementation, but also preserve volume additivity. It illustrates some of the properties of the so-called additive forms of the CES and CET and assesses the impacts of switching to the additive CET in the context of land-use allocation in the Envisage model.
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Hlushak, Oksana M., Volodymyr V. Proshkin e Oksana S. Lytvyn. Using the e-learning course “Analytic Geometry” in the process of training students majoring in Computer Science and Information Technology. [б. в.], setembro de 2019. http://dx.doi.org/10.31812/123456789/3268.

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As a result of literature analysis the expediency of free access of bachelors majoring in Computer Sciences and Information Technologies to modern information educational resources, in particular, e-learning courses in the process of studying mathematical disciplines is substantiated. It was established that the e-learning course is a complex of teaching materials and educational services created for the organization of individual and group training using information and communication technologies. Based on the outlined possibilities of applying the e-learning course, as well as its didactic functions, the structure of the certified e-learning course “Analytic Geometry” based on the Moodle platform was developed and described. Features of application of cloud-oriented resources are considered: Desmos, Geogebra, Wolfram|Alpha, Sage in the study of the discipline “Analytic Geometry”. The results of the pedagogical experiment on the basis of Borys Grinchenko Kyiv University and A. S. Makarenko Sumy State Pedagogical University are presented. The experiment was conducted to verify the effectiveness of the implementation of the e-learning course “Analytic Geometry”. Using the Pearson criterion it is proved that there are significant differences in the level of mathematical preparation of experimental and control group of students. The prospect of further scientific research is outlined through the effectiveness of the use of e-learning courses for the improvement of additional professional competences of students majoring in Computer Sciences and Information Technologies (specialization “Programming”, “Internet of Things”).
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Saptsin, Vladimir, e Володимир Миколайович Соловйов. Relativistic quantum econophysics – new paradigms in complex systems modelling. [б.в.], julho de 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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Rogers, Deanna Tamae Koike, e Nancy Ann Durgin. Mathematical analysis of deception. Office of Scientific and Technical Information (OSTI), outubro de 2003. http://dx.doi.org/10.2172/918352.

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Lovyanova, I. V. On Specific Character of Mathematical Education Content Selection at Subject-Specialised School. [б. в.], 2013. http://dx.doi.org/10.31812/0564/2377.

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The article dwells upon the issues of mathematics teaching as a subject training organisational process. Historical principles and tendencies concerning subject-specialised school creation in particular as well as Russian and soviet school practice are analysed in the article. Experience of differentiation process on the high stage of school education in such countries as France, Japan and the USA has been investigated. The main functions of a subject matter mastering conception at high school have been pointed out. Mathematical education is considered to be the principal component of comprehensive education as well as the factor influencing the quality of education at a higher educational establishment on the whole run. The peculiarities of mathematical education content at a subject-specialised school in different directions of mathematical training have been illuminated in the article along with the deep consideration of succession problem of both secondary comprehensive and higher school educational processes correspondingly, which, in their turn, are regarded as the possible ways of education quality improvement in terms of higher educational establishment (HEE). The constructional principles of educational courses in various mathematical subjects are defined in the article.
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Spackman, H. M. Mathematical Analysis of Scissor Lifts. Fort Belvoir, VA: Defense Technical Information Center, junho de 1989. http://dx.doi.org/10.21236/ada225220.

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Perdigão, Rui A. P. New Horizons of Predictability in Complex Dynamical Systems: From Fundamental Physics to Climate and Society. Meteoceanics, outubro de 2021. http://dx.doi.org/10.46337/211021.

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Discerning the dynamics of complex systems in a mathematically rigorous and physically consistent manner is as fascinating as intimidating of a challenge, stirring deeply and intrinsically with the most fundamental Physics, while at the same time percolating through the deepest meanders of quotidian life. The socio-natural coevolution in climate dynamics is an example of that, exhibiting a striking articulation between governing principles and free will, in a stochastic-dynamic resonance that goes way beyond a reductionist dichotomy between cosmos and chaos. Subjacent to the conceptual and operational interdisciplinarity of that challenge, lies the simple formal elegance of a lingua franca for communication with Nature. This emerges from the innermost mathematical core of the Physics of Coevolutionary Complex Systems, articulating the wealth of insights and flavours from frontier natural, social and technical sciences in a coherent, integrated manner. Communicating thus with Nature, we equip ourselves with formal tools to better appreciate and discern complexity, by deciphering a synergistic codex underlying its emergence and dynamics. Thereby opening new pathways to see the “invisible” and predict the “unpredictable” – including relative to emergent non-recurrent phenomena such as irreversible transformations and extreme geophysical events in a changing climate. Frontier advances will be shared pertaining a dynamic that translates not only the formal, aesthetical and functional beauty of the Physics of Coevolutionary Complex Systems, but also enables and capacitates the analysis, modelling and decision support in crucial matters for the environment and society. By taking our emerging Physics in an optic of operational empowerment, some of our pioneering advances will be addressed such as the intelligence system Earth System Dynamic Intelligence and the Meteoceanics QITES Constellation, at the interface between frontier non-linear dynamics and emerging quantum technologies, to take the pulse of our planet, including in the detection and early warning of extreme geophysical events from Space.
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Bernards, Andre. Functional Analysis of Drosophila NF1. Fort Belvoir, VA: Defense Technical Information Center, julho de 2005. http://dx.doi.org/10.21236/ada444270.

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Duclos, Ronald, e Ned Shepherd. Structured Analysis/Design - LSA Tank 301, Functional Requirements Identification, Subtask 301.2.3, Functional Requirements Risk Analysis. Fort Belvoir, VA: Defense Technical Information Center, janeiro de 1990. http://dx.doi.org/10.21236/ada255546.

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