Relevant bibliographies by topics / Differential calculus / Dissertations / Theses
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Dissertations / Theses on the topic 'Differential calculus'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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1

Calisti, Matteo. "Differential calculus in metric measure spaces." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/21781/.

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L'obbiettivo di questa tesi è la definizione del calcolo differenziale e dell'operatore di Laplace in spazi metrici di misura. Nel primo capitolo vengono introdotte le definizioni e proprietà principali degli spazi metrici di misura mentre nel secondo quelle riguardanti le funzioni lipschitziane e la derivata metrica di curve assolutamente continue. Nel terzo capitolo quindi viene definito il concetto di p-supergradiente debole e di conseguenza la classe di Sobolev S^p. Nel quarto capitolo viene poi studiata la generalizzazione del concetto di differenziale di f applicato al gradiente di g che
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2

Herlemont, Basile. "Differential calculus on h-deformed spaces." Thesis, Aix-Marseille, 2017. http://www.theses.fr/2017AIXM0377/document.

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L'anneau $\Diff(n)$ des opérateurs différentiels $\h$-déformés apparaît dans la théorie des algèbres de réduction.Dans cette thèse, nous construisons les anneaux des opérateurs différentiels généralisés sur les espaces vectoriels $\h$-déformés de type $\gl$. Contrairement aux espaces vectoriels $q$-déformés pour lequel l'anneau des opérateurs différentiels est unique \`a isomorphisme pr\`es, l'anneau généralisé des opérateurs différentiels $\h$-déformés $\Diffs(n)$ est indexée par une fonction rationnelle $\sigma$ en $n$ variables, solution d'un syst\`eme d\'eg\'en\'er\'e d'\'equations aux dif
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3

Nguyen, Binh-Khoi. "Pseudo-differential calculus on generalized motion groups." Thesis, Imperial College London, 2016. http://hdl.handle.net/10044/1/44081.

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In recent years, effort has been put into following the ideas of M. Ruzhansky and V. Turunen to construct a global pseudo-differential calculus on Lie groups. By this, we mean a collection of operators containing the left-invariant differential calculus with the additional requirement that it be stable under composition and adjunction. Moreover, we would like these operators to have adequate boundedness properties between Sobolev spaces. Our approach consists in using the group Fourier transform to defne a global, operator-valued symbol, yielding pseudo-differential operators via an analogue o
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4

Rector, R. Blake. "Generalized Differential Calculus and Applications to Optimization." PDXScholar, 2017. https://pdxscholar.library.pdx.edu/open_access_etds/3627.

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This thesis contains contributions in three areas: the theory of generalized calculus, numerical algorithms for operations research, and applications of optimization to problems in modern electric power systems. A geometric approach is used to advance the theory and tools used for studying generalized notions of derivatives for nonsmooth functions. These advances specifically pertain to methods for calculating subdifferentials and to expanding our understanding of a certain notion of derivative of set-valued maps, called the coderivative, in infinite dimensions. A strong understanding of the s
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5

Schulze, Bert-Wolfgang. "Pseudo-differential calculus on manifolds with geometric singularities." Universität Potsdam, 2006. http://opus.kobv.de/ubp/volltexte/2009/3020/.

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Differential and pseudo-differential operators on a manifold with (regular) geometric singularities can be studied within a calculus, inspired by the concept of classical pseudo-differential operators on a C1 manifold. In the singular case the operators form an algebra with a principal symbolic hierarchy σ = (σj)0≤j≤k, with k being the order of the singularity and σk operator-valued for k ≥ 1. The symbols determine ellipticity and the nature of parametrices. It is typical in this theory that, similarly as in boundary value problems (which are special edge problems, where the edge is just the b
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6

Beauchamp, Bradley K. McCrone Sharon Rich Beverly Susan. "Exploring calculus students' understanding of L'Hôpital's Rule." Normal, Ill. : Illinois State University, 2006. http://proquest.umi.com/pqdweb?index=0&did=1273094441&SrchMode=1&sid=3&Fmt=2&VInst=PROD&VType=PQD&RQT=309&VName=PQD&TS=1181240966&clientId=43838.

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Thesis (Ph. D.)--Illinois State University, 2006.<br>Title from title page screen, viewed on June 7, 2007. Dissertation Committee: Dissertation Committee: Sharon S. McCrone, Beverly S. Rich (co-chairs), James F. Cottrill, Lucian L. Ionescu. Includes bibliographical references (leaves 155-159) and abstract. Also available in print.
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7

Simpson, Arthur Charles. "Numerical methods for the solution of fractional differential equations." Thesis, University of Liverpool, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.250281.

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The fractional calculus is a generalisation of the calculus of Newton and Leibniz. The substitution of fractional differential operators in ordinary differential equations substantially increases their modelling power. Fractional differential operators set exciting new challenges to the computational mathematician because the computational cost of approximating fractional differential operators is of a much higher order than that necessary for approximating the operators of classical calculus. 1. We present a new formulation of the fractional integral. 2. We use this to develop a new method fo
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8

Wilson, Daniel. "Local time-space calculus with applications." Thesis, University of Manchester, 2018. https://www.research.manchester.ac.uk/portal/en/theses/local-timespace-calculus-with-applications(f04e32e3-4c9b-4348-a7f3-803dee125e43).html.

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9

Kim, Hwa Kil. "Hamiltonian systems and the calculus of differential forms on the Wasserstein space." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29720.

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Thesis (Ph.D)--Mathematics, Georgia Institute of Technology, 2009.<br>Committee Chair: Gangbo, Wilfrid; Committee Member: Loss, Michael; Committee Member: Pan, Ronghua; Committee Member: Swiech, Andrzej; Committee Member: Tannenbaum, Allen. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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10

Kendal, Margaret. "Teaching and learning introductory differential calculus with a computer algebra system /." Connect to thesis, 2001. http://eprints.unimelb.edu.au/archive/00000299.

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11

Lopes, Jennifer. "IN VITRO EVALUATION OF A DIFFERENTIAL REFLECTOMETRY DENTAL CALCULUS DETECTION INSTRUMENT." Master's thesis, Temple University Libraries, 2017. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/437247.

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Oral Biology<br>M.S.<br>Objectives: The presence of subgingival dental calculus on tooth root surfaces, an important risk factor in the pathogenesis of human periodontitis, is clinically challenging to reliably detect with existing tactile-based, manual forms of dental instrumentation. In 2003, the United States Food and Drug Administration granted approval for marketing in the United States of a differential reflectometry-based device (DetecTar, NEKS Technologies, Laval, Quebec, Canada) for detection of subgingival dental calculus in humans. The instrument employs a light-emitting diode to de
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12

Ito, Yu. "Rough path theory via fractional calculus." 京都大学 (Kyoto University), 2015. http://hdl.handle.net/2433/199445.

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13

Khan, Mumtaz Ahmad, and Bijan Rouhi. "A study on a calculus for the Tk,x,y,z-operator." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/96924.

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The present paper deals with the calculus of Tk,x,y,z - operator. The operator is a three variable analogue of the operator given earlier by W. A. Al-Salam [1] and H. B. Mittal [10]. The operator is useful for finding operational representations and generating functions of polynomials of three variables and will be dealt in a separate communication.
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14

Gunturk, Kamil Serkan. "Covariant Weyl quantization, symbolic calculus, and the product formula." Texas A&M University, 2003. http://hdl.handle.net/1969.1/3963.

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A covariant Wigner-Weyl quantization formalism on the manifold that uses pseudo-differential operators is proposed. The asymptotic product formula that leads to the symbol calculus in the presence of gauge and gravitational fields is presented. The new definition is used to get covariant differential operators from momentum polynomial symbols. A covariant Wigner function is defined and shown to give gauge-invariant results for the Landau problem. An example of the covariant Wigner function on the 2-sphere is also included.
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15

Bedford, Stephen James. "Calculus of variations and its application to liquid crystals." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:a2004679-5644-485c-bd35-544448f53f6a.

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The thesis concerns the mathematical study of the calculus of variations and its application to liquid crystals. In the first chapter we examine vectorial problems in the calculus of variations with an additional pointwise constraint so that any admissible function <strong>n</strong> ε W<sup>1,1</sup>(ΩM), and M is a manifold of suitable regularity. We formulate necessary and sufficient conditions for any given state <strong>n</strong> to be a strong or weak local minimiser of I. This is achieved using a nearest point projection mapping in order to use the more classical results which apply in
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16

Guo, Xu. "Fractional differential equations for modelling financial processes with jumps." HKBU Institutional Repository, 2015. https://repository.hkbu.edu.hk/etd_oa/192.

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The standard Black-Scholes model is under the assumption of geometric Brownian motion, and the log-returns for Black-Scholes model are independent and Gaussian. However, most of the recent literature on the statistical properties of the log-returns makes this hypothesis not always consistent. One of the ongoing research topics is to nd a better nancial pricing model instead of the Black-Scholes model. In the present work, we concentrate on two typical 1-D option pricing models under the general exponential L evy processes, namely the nite moment log-stable (FMLS) model and the the Carr-Gema
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17

Banks, Nicola E. "Insights from the parallel implementation of efficient algorithms for the fractional calculus." Thesis, University of Chester, 2015. http://hdl.handle.net/10034/613841.

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This thesis concerns the development of parallel algorithms to solve fractional differential equations using a numerical approach. The methodology adopted is to adapt existing numerical schemes and to develop prototype parallel programs using the MatLab Parallel Computing Toolbox (MPCT). The approach is to build on existing insights from parallel implementation of ordinary differential equations methods and to test a range of potential candidates for parallel implementation in the fractional case. As a consequence of the work, new insights on the use of MPCT for prototyping are presented, alon
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18

Rosestolato, Mauro. "Topics in stochastic calculus in infinite dimension for financial applications." Doctoral thesis, Scuola Normale Superiore, 2016. http://hdl.handle.net/11384/85712.

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This thesis is devoted to study delay/path-dependent stochastic differential equations and their connection with partial differential equations in infinite dimensional spaces, possibly path-dependent. We address mathematical problems arising in hedging a derivative product for which the volatility of the underlying assets as well as the claim may depend on the past history of the assets themselves. The starting point is to provide a robust framework for working with mild solutions to path-dependent SDEs: well-posedness, continuity with respect to the data, regularity with respect to the
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19

Jacyntho, Luiz Antonio. "Uso de episodios historicos e de geometria dinamica para desenvolvimento de coneitos de integral de Riemann e do teorema fundamental do calculo para funções reais de variavel real." [s.n.], 2008. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305871.

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Orientador: Luiz Mariano Paes de Carvalho Filho<br>Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação<br>Made available in DSpace on 2018-08-11T14:58:23Z (GMT). No. of bitstreams: 1 Jacyntho_LuizAntonio_M.pdf: 8765048 bytes, checksum: d1d39ba51eca5f10f2b9eb3fd48e367c (MD5) Previous issue date: 2008<br>Resumo: Este trabalho tem como objetivos estudar algumas realizações de Arquimedes (287 a.C. - 212 a.C., Grécia) e de Isaac Barrow (1630-1677, Inglaterra), e, também, desenvolver atividades no Geogebra para auxiliar no ensi
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20

Kapanadze, David, and Bert-Wolfgang Schulze. "Symbolic calculus for boundary value problems on manifolds with edges." Universität Potsdam, 2001. http://opus.kobv.de/ubp/volltexte/2008/2604/.

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Boundary value problems for (pseudo-) differential operators on a manifold with edges can be characterised by a hierarchy of symbols. The symbol structure is responsible or ellipicity and for the nature of parametrices within an algebra of "edge-degenerate" pseudo-differential operators. The edge symbol component of that hierarchy takes values in boundary value problems on an infinite model cone, with edge variables and covariables as parameters. Edge symbols play a crucial role in this theory, in particular, the contribution with holomorphic operatot-valued Mellin symbols. We establish a calc
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21

Emese, George L. "The effects of guided discovery style teaching and graphing calculator use in differential calculus /." The Ohio State University, 1993. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487841548272303.

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22

Hu, Ke. "On an equation being a fractional differential equation with respect to time and a pseudo-differential equation with respect to space related to Lévy-type processes." Thesis, Swansea University, 2012. https://cronfa.swan.ac.uk/Record/cronfa43021.

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23

Grosse, H., J. Madore, H. Steinacker, and Harold Steinacker@physik uni-muenchen de. "Field Theory on the q-Deformed Fuzzy Sphere I." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi890.ps.

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24

黃志榮 and Chi-wing Wong. "On Cartan form and equivalence of variational problems." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1997. http://hub.hku.hk/bib/B31220071.

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25

Білоус, Олена Анатоліївна, Елена Анатольевна Белоус, Olena Anatoliivna Bilous, В. М. Сиротенко та О. П. Кошіль. "Похідна, як математичний інструмент дослідження похибки вимірювання". Thesis, Вид-во СумДУ, 2010. http://essuir.sumdu.edu.ua/handle/123456789/6145.

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У практиці така похибка припустима. Таким чином, на перший погляд невірна формула, але проста у застосуванні при масовому врахуванні лісовини дає похибку при обчисленні яка не перевищує 4%, що є цілком придатним результатом. При цитуванні документа, використовуйте посилання http://essuir.sumdu.edu.ua/handle/123456789/6145
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26

Чумаченко, С. В., та Д. А. Щербин. "Аппарат булева дифференциального исчисления для анализа деструктивов". Thesis, Сумский государственный университет, 2013. http://essuir.sumdu.edu.ua/handle/123456789/44212.

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Аппарат булева дифференциального исчисления предназначен для проверки существенных переменных и компонентов КС, включая и анализ существенности деструктивов – уязвимости и проникновения – для состояния киберсистемы. Рассматриваются методы взятия булевых производных по таблице истинности, дизъюнктивной форме или кубическому покрытию для создания условий активизации на входных переменных при синтезе тестов для проверки уязвимостей (проникновений).
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27

Wong, Chi-wing. "On Cartan form and equivalence of variational problems /." Hong Kong : University of Hong Kong, 1997. http://sunzi.lib.hku.hk/hkuto/record.jsp?B19472602.

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28

Charoenphon, Sutthirut. "Green's Functions of Discrete Fractional Calculus Boundary Value Problems and an Application of Discrete Fractional Calculus to a Pharmacokinetic Model." TopSCHOLAR®, 2014. http://digitalcommons.wku.edu/theses/1327.

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Fractional calculus has been used as a research tool in the fields of pharmacology, biology, chemistry, and other areas [3]. The main purpose of this thesis is to calculate Green's functions of fractional difference equations, and to model problems in pharmacokinetics. We claim that the discrete fractional calculus yields the best prediction performance compared to the continuous fractional calculus in the application of a one-compartmental model of drug concentration. In Chapter 1, the Gamma function and its properties are discussed to establish a theoretical basis. Additionally, the basics o
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29

Amsheri, Somia M. A. "Fractional calculus operator and its applications to certain classes of analytic functions. A study on fractional derivative operator in analytic and multivalent functions." Thesis, University of Bradford, 2013. http://hdl.handle.net/10454/6320.

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The main object of this thesis is to obtain numerous applications of fractional derivative operator concerning analytic and -valent (or multivalent) functions in the open unit disk by introducing new classes and deriving new properties. Our finding will provide interesting new results and indicate extensions of a number of known results. In this thesis we investigate a wide class of problems. First, by making use of certain fractional derivative operator, we define various new classes of -valent functions with negative coefficients in the open unit disk such as classes of -valent starlike func
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30

So, Bing Kwan. "Pseudo-differential operators, heat calculus and index theory of groupoids satisfying the Lauter-Nistor condition." Thesis, University of Warwick, 2010. http://wrap.warwick.ac.uk/3793/.

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In this thesis, we study singular pseudo-differential operators defined by groupoids satisfying the Lauter-Nistor condition, by a method parallel to that of manifolds with boundary and edge differential operators. The example of the Bruhat sphere is studied in detail. In particular, we construct an extension to the calculus of uniformly supported pseudo-differential operators that is analogous to the calculus with bounds defined on manifolds with boundary. We derive a Fredholmness criterion for operators on the Bruhat sphere, and prove that their parametrices up to compact operators lie inside
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31

Morris, Charles Graham. "Mapping problems in the calculus of variations : twists, L1-local minimisers and vectorial symmetrisation." Thesis, University of Sussex, 2017. http://sro.sussex.ac.uk/id/eprint/72567/.

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32

Amsheri, Somia Muftah Ahmed. "Fractional calculus operator and its applications to certain classes of analytic functions : a study on fractional derivative operator in analytic and multivalent functions." Thesis, University of Bradford, 2013. http://hdl.handle.net/10454/6320.

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The main object of this thesis is to obtain numerous applications of fractional derivative operator concerning analytic and ρ-valent (or multivalent) functions in the open unit disk by introducing new classes and deriving new properties. Our finding will provide interesting new results and indicate extensions of a number of known results. In this thesis we investigate a wide class of problems. First, by making use of certain fractional derivative operator, we define various new classes of ρ-valent functions with negative coefficients in the open unit disk such as classes of ρ-valent starlike f
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33

Er, Aynur. "Stability of Linear Difference Systems in Discrete and Fractional Calculus." TopSCHOLAR®, 2017. http://digitalcommons.wku.edu/theses/1946.

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The main purpose of this thesis is to define the stability of a system of linear difference equations of the form, ∇y(t) = Ay(t), and to analyze the stability theory for such a system using the eigenvalues of the corresponding matrix A in nabla discrete calculus and nabla fractional discrete calculus. Discrete exponential functions and the Putzer algorithms are studied to examine the stability theorem. This thesis consists of five chapters and is organized as follows. In the first chapter, the Gamma function and its properties are studied. Additionally, basic definitions, properties and some m
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34

Abdelsheed, Ismail Gad Ameen. "Fractional calculus: numerical methods and SIR models." Doctoral thesis, Università degli studi di Padova, 2016. http://hdl.handle.net/11577/3422267.

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Fractional calculus is ”the theory of integrals and derivatives of arbitrary order, which unify and generalize the notions of integer-order differentiation and n-fold integration”. The idea of generalizing differential operators to a non-integer order, in particular to the order 1/2, first appears in the correspondence of Leibniz with L’Hopital (1695), Johann Bernoulli (1695), and John Wallis (1697) as a mere question or maybe even play of thoughts. In the following three hundred years a lot of mathematicians contributed to the fractional calculus: Laplace (1812), Lacroix (1812), Fourier (1822
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Одарченко, Наталія Іванівна, Наталия Ивановна Одарченко, Nataliia Ivanivna Odarchenko, С. Мошна та В. В. Власенко. "Узагальнення при розв`язанні задач за допомогою диференціального та інтегрального числення". Thesis, Вид-во СумДУ, 2010. http://essuir.sumdu.edu.ua/handle/123456789/6152.

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При розв’язанні практичних задач за допомогою диференціального та інтегрального числення студентами застосовуються аналогії, узагальнення. Уміння проводити раціональні міркування – важливий компонент загальної інтелектуальної культури сучасної людини, а його формування є значним резервом посилення прикладної спрямованості навчання математичних дисциплін. При цитуванні документа, використовуйте посилання http://essuir.sumdu.edu.ua/handle/123456789/6152
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Беда, Іван Микитович, Иван Никитич Беда, Ivan Mykytovych Beda та А. С. Гатцук. "Побудова графіка функції, заданої параметрично". Thesis, Вид-во СумДУ, 2010. http://essuir.sumdu.edu.ua/handle/123456789/6129.

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37

Sheikh, T. O. "The role of visualization in the teaching and learning of multivariate calculus and systems of ordinary differential equations." Thesis, University of the Western Cape, 2015. http://hdl.handle.net/11394/5184.

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Philosophiae Doctor - PhD<br>The purpose of this study was to investigate the role of visualization in the conceptualisation and solution of problems in multivariate calculus and dynamical systems. The theoretical basis, and the visual and analytical aspects of evaluating multiple integrals, and the stability analysis of dynamical systems, were established. To address the research questions, a teaching experiment with activities to facilitate visualization of 3D objects and phase portraits of non-linear dynamic systems was conducted with an experimental class (n = 24) which received six activi
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Almusharrf, Amera. "Development of Fractional Trigonometry and an Application of Fractional Calculus to Pharmacokinetic Model." TopSCHOLAR®, 2011. http://digitalcommons.wku.edu/theses/1048.

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39

Santos, Simão Pedro Silva. "Calculus of variations of Herglotz type." Doctoral thesis, Universidade de Aveiro, 2017. http://hdl.handle.net/10773/22503.

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Doutoramento em Matemática<br>We consider several problems based on Herglotz’s generalized variational problem. We dedicate two chapters to extensions on Herglotz’s generalized variational problem to higher-order and first-order problems with time delay, using a variational approach. In the last four chapters, we rewrite Herglotz's type problems in the optimal control form and use an optimal control approach. We prove generalized higher- order Euler-Lagrange equations, first without and then with time delay; higher-order natural boundary conditions; Noether's first theorem for the first-order
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40

Liu, Yang. "Modular curvature for toric noncommutative manifolds." The Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1440121460.

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41

Luo, Ye. "Random periodic solutions of stochastic functional differential equations." Thesis, Loughborough University, 2014. https://dspace.lboro.ac.uk/2134/16112.

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In this thesis, we study the existence of random periodic solutions for both nonlinear dissipative stochastic functional differential equations (SFDEs) and semilinear nondissipative SFDEs in C([-r,0],R^d). Under some sufficient conditions for the existence of global semiflows for SFDEs, by using pullback-convergence technique to SFDE, we obtain a general theorem about the existence of random periodic solutions. By applying coupled forward-backward infinite horizon integral equations method, we perform the argument of the relative compactness of Wiener-Sobolev spaces in C([0,τ],C([-r,0]L²(Ω)))
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42

Hopper, Christopher Peter. "On the regularity of holonomically constrained minimisers in the calculus of variations." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:d8bde7a2-7dae-44d2-919d-48b9f2543789.

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This thesis concerns the regularity of holonomic minimisers of variational integrals in the context of direct methods in the calculus of variations. Specifically, we consider Sobolev mappings from a bounded domain into a connected compact Riemannian manifold without boundary, to which such mappings are said to be holonomically constrained. For a general class of strictly quasiconvex integral functionals, we give a direct proof of local C<sup>1,α</sup>-Hölder continuity, for some 0 &lt; &alpha; &lt; 1, of holonomic minimisers off a relatively closed 'singular set' of Lebesgue measure zero. Cru
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Fernandez, Arran. "Analysis in fractional calculus and asymptotics related to zeta functions." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/284390.

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This thesis presents results in two apparently disparate mathematical fields which can both be examined -- and even united -- by means of pure analysis. Fractional calculus is the study of differentiation and integration to non-integer orders. Dating back to Leibniz, this idea was considered by many great mathematical figures, and in recent decades it has been used to model many real-world systems and processes, but a full development of the mathematical theory remains incomplete. Many techniques for partial differential equations (PDEs) can be extended to fractional PDEs too. Three chapters b
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44

Midez, Jean baptiste. "Une étude combinatoire du lambda-calcul avec ressources uniforme." Thesis, Aix-Marseille, 2014. http://www.theses.fr/2014AIXM4093/document.

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Le lambda-calcul avec ressources est une variante du lambda-calcul fondée sur la linéarité : les lambda-termes avec ressources sont aux lambda-termes ce que sont les polynômes aux fonctions réelles, c'est à dire des approximations multi-linéaires. En particulier les réductions dans le lambda-calcul avec ressources peuvent être vues comme des approximations des beta-réductions, mais la contrainte de linéarite a des conséquences importantes, notamment la forte normalisation de la réduction avec ressources. Pour ainsi dire, la beta-réduction est obtenue par passage à la limite des réductions avec
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45

Yang, Weiye. "Stochastic analysis and stochastic PDEs on fractals." Thesis, University of Oxford, 2018. http://ora.ox.ac.uk/objects/uuid:43a7af74-c531-424a-9f3d-4277138affbb.

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Stochastic analysis on fractals is, as one might expect, a subfield of analysis on fractals. An intuitive starting point is to observe that on many fractals, one can define diffusion processes whose law is in some sense invariant with respect to the symmetries and self-similarities of the fractal. These can be interpreted as fractal-valued counterparts of standard Brownian motion on Rd. One can study these diffusions directly, for example by computing heat kernel and hitting time estimates. On the other hand, by associating the infinitesimal generator of the fractal-valued diffusion with the L
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46

Donel, Marlene Lucia Holz [UNESP]. "Dificuldades de aprendizagem em cálculo e a relação com raciocínio lógico formal: uma análise no ensino superior." Universidade Estadual Paulista (UNESP), 2015. http://hdl.handle.net/11449/124483.

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Made available in DSpace on 2015-07-13T12:10:23Z (GMT). No. of bitstreams: 0 Previous issue date: 2015-02-25. Added 1 bitstream(s) on 2015-07-13T12:25:18Z : No. of bitstreams: 1 000836797.pdf: 995712 bytes, checksum: fa715e7dc90799bd3d5e0e5382239afd (MD5)<br>Esta pesquisa, de abordagem qualitativa e quantitativa, caracterizou-se por um estudo de caso que teve como principal objetivo analisar as relações entre o desenvolvimento cognitivo e as dificuldades de aprendizagem na disciplina de Cálculo Diferencial Integral, em acadêmicos de uma Universidade Pública Federal do Paraná. A discussão apo
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47

Donel, Marlene Lucia Holz. "Dificuldades de aprendizagem em cálculo e a relação com raciocínio lógico formal : uma análise no ensino superior /." Marília, 2015. http://hdl.handle.net/11449/124483.

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Orientadora: Eliane Giachetto Saravali<br>Banca: Francismara Neves de Oliveira<br>Banca: Alessandra de Morais Shimizu<br>Resumo: Esta pesquisa, de abordagem qualitativa e quantitativa, caracterizou-se por um estudo de caso que teve como principal objetivo analisar as relações entre o desenvolvimento cognitivo e as dificuldades de aprendizagem na disciplina de Cálculo Diferencial Integral, em acadêmicos de uma Universidade Pública Federal do Paraná. A discussão apoiou-se na teoria construtivista piagetiana, voltada à compreensão do processo de construção e aprendizagem da matemática. Sua aplica
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48

Clark, Troy Arthur. "The Trefoil: An Analysis in Curve Minimization and Spline Theory." Case Western Reserve University School of Graduate Studies / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=case1596460534956624.

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Houchens, Jesse P. "Alternatives to the Calculus: Nonstandard Analysis and Smooth Infinitesimal Analysis." Ohio University / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1365705311.

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50

Assi, Jolnar Abdulkarim. "Knightian uncertainty modelling and its impact on option pricing : applications of fuzzy set theory, fuzzy measure theory and fuzzy differential calculus." Thesis, City University London, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.274460.

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