subject:( Mathematics )

University of Namibia

1. Naweseb, Fillemon T. An investigation of basic education teachers diploma (BETD) teachers' ability to use everyday contexts in the teaching of mathematics at junior secondary schools in Windhoek, Namibia.

Degree: 2012, University of Namibia

URL: http://hdl.handle.net/11070/888

► This study sought to answer the following research questions: 1. How do BETD Mathematics teachers define everyday contexts? 2. What types of everyday contexts are… (more)

▼ This study sought to answer the following research questions: 1. How do BETD Mathematics teachers define everyday contexts? 2. What types of everyday contexts are used by BETD Mathematics teachers? 3. How often do BETD Mathematics teachers present content in contexts that the learners already know? 4. What factors do BETD Mathematics teachers regard as affecting the contextualization of content in their Mathematics lessons? The main aim of this study was to gain insight into how effectively BETD teachers used everyday contexts to facilitate a meaningful understanding of the Mathematics content by the learners. The secondary aim was to gain an in-depth understanding of the existing conditions concerning BETD teachers’ use of everyday contexts in their Mathematics classrooms. This study was a descriptive, naturalistic, qualitative research. Data were collected using non-participant observations, open-ended questionnaires and one-on-one interviews. Inductive data analysis was used to analyse the data collected. The main results of this study were that: 1. All participants had a relevant working understanding of the concept of everyday contexts. However, their use of everyday contexts was very superficial and inadequate in Mathematics teaching. 2. Everyday contexts were mainly used in the introduction phase of the lessons and context use by the teachers was much more limited than previously thought by the researcher. 3. BETD teachers had an exaggerated view of their use of everyday contexts in Mathematics teaching. 4. Preference of procedural mathematical skills over conceptual understanding impeded the effective integration of everyday contexts in Mathematics teaching. 5. There was a lack of instructional materials which incorporate everyday contexts. 6. The BETD teachers did not plan lessons which included everyday contexts. 7. The BETD teachers regarded the use of everyday contexts in Mathematics as time consuming. The results led to the conclusion that the benefits of integrating everyday contexts in Mathematics instruction were not reaped due to ineffective integration or total non-integration of everyday contexts in Mathematics teaching. Furthermore, the limited use of everyday contexts in Mathematics teaching could also be ascribed to the lack of lesson planning that incorporated contextual teaching and learning strategies.

Subjects/Keywords: Mathematics

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APA (6^th Edition):

Naweseb, F. T. (2012). An investigation of basic education teachers diploma (BETD) teachers' ability to use everyday contexts in the teaching of mathematics at junior secondary schools in Windhoek, Namibia. (Thesis). University of Namibia. Retrieved from http://hdl.handle.net/11070/888

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Naweseb, Fillemon T. “An investigation of basic education teachers diploma (BETD) teachers' ability to use everyday contexts in the teaching of mathematics at junior secondary schools in Windhoek, Namibia. ” 2012. Thesis, University of Namibia. Accessed January 22, 2021. http://hdl.handle.net/11070/888.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Naweseb, Fillemon T. “An investigation of basic education teachers diploma (BETD) teachers' ability to use everyday contexts in the teaching of mathematics at junior secondary schools in Windhoek, Namibia. ” 2012. Web. 22 Jan 2021.

Vancouver:

Naweseb FT. An investigation of basic education teachers diploma (BETD) teachers' ability to use everyday contexts in the teaching of mathematics at junior secondary schools in Windhoek, Namibia. [Internet] [Thesis]. University of Namibia; 2012. [cited 2021 Jan 22]. Available from: http://hdl.handle.net/11070/888.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Naweseb FT. An investigation of basic education teachers diploma (BETD) teachers' ability to use everyday contexts in the teaching of mathematics at junior secondary schools in Windhoek, Namibia. [Thesis]. University of Namibia; 2012. Available from: http://hdl.handle.net/11070/888

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of California, Berkeley

2. Gillespie, Maria Monks. A combinatorial approach to the q; t-symmetry in Macdonald polynomials.

Degree: 2016, University of California, Berkeley

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=10150833

► Using the combinatorial formula for the transformed Macdonald polynomials of Haglund, Haiman, and Loehr, we investigate the combinatorics of the symmetry relation H˜μ*(x; q,t)… (more)

Subjects/Keywords: Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Gillespie, M. M. (2016). A combinatorial approach to the q; t-symmetry in Macdonald polynomials. (Thesis). University of California, Berkeley. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=10150833

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Gillespie, Maria Monks. “A combinatorial approach to the q; t-symmetry in Macdonald polynomials.” 2016. Thesis, University of California, Berkeley. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=10150833.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Gillespie, Maria Monks. “A combinatorial approach to the q; t-symmetry in Macdonald polynomials.” 2016. Web. 22 Jan 2021.

Vancouver:

Gillespie MM. A combinatorial approach to the q; t-symmetry in Macdonald polynomials. [Internet] [Thesis]. University of California, Berkeley; 2016. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=10150833.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Gillespie MM. A combinatorial approach to the q; t-symmetry in Macdonald polynomials. [Thesis]. University of California, Berkeley; 2016. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=10150833

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of California, Berkeley

3. Greengard, Daniel Bijan. Complex Boundary Integral Equation Formulation and Stability Analysis of a Maxwell Model and of an Elastic Model of Solid-Solid Phase Transformations.

Degree: 2016, University of California, Berkeley

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=10151003

► We study a viscoelastic model of the solid-solid phase change of olivine to its denser β-spinel state at high pressures and temperatures reachable in… (more)

Subjects/Keywords: Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Greengard, D. B. (2016). Complex Boundary Integral Equation Formulation and Stability Analysis of a Maxwell Model and of an Elastic Model of Solid-Solid Phase Transformations. (Thesis). University of California, Berkeley. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=10151003

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Greengard, Daniel Bijan. “Complex Boundary Integral Equation Formulation and Stability Analysis of a Maxwell Model and of an Elastic Model of Solid-Solid Phase Transformations.” 2016. Thesis, University of California, Berkeley. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=10151003.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Greengard, Daniel Bijan. “Complex Boundary Integral Equation Formulation and Stability Analysis of a Maxwell Model and of an Elastic Model of Solid-Solid Phase Transformations.” 2016. Web. 22 Jan 2021.

Vancouver:

Greengard DB. Complex Boundary Integral Equation Formulation and Stability Analysis of a Maxwell Model and of an Elastic Model of Solid-Solid Phase Transformations. [Internet] [Thesis]. University of California, Berkeley; 2016. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=10151003.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Greengard DB. Complex Boundary Integral Equation Formulation and Stability Analysis of a Maxwell Model and of an Elastic Model of Solid-Solid Phase Transformations. [Thesis]. University of California, Berkeley; 2016. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=10151003

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

4. Martin, Joshua M. Multiradial (multi)filtrations and persistent homology.

Degree: 2016, The University of North Carolina at Greensboro

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=10154660

► Motivated by the problem of optimizing sensor network covers, we generalize the persistent homology of simplicial complexes over a single radial parameter to the… (more)

Subjects/Keywords: Mathematics

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APA (6^th Edition):

Martin, J. M. (2016). Multiradial (multi)filtrations and persistent homology. (Thesis). The University of North Carolina at Greensboro. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=10154660

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Martin, Joshua M. “Multiradial (multi)filtrations and persistent homology.” 2016. Thesis, The University of North Carolina at Greensboro. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=10154660.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Martin, Joshua M. “Multiradial (multi)filtrations and persistent homology.” 2016. Web. 22 Jan 2021.

Vancouver:

Martin JM. Multiradial (multi)filtrations and persistent homology. [Internet] [Thesis]. The University of North Carolina at Greensboro; 2016. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=10154660.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Martin JM. Multiradial (multi)filtrations and persistent homology. [Thesis]. The University of North Carolina at Greensboro; 2016. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=10154660

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Johannes Gutenberg Universität Mainz

5. Barraza Martinez, Bienvenido. Pseudodifferentialoperatoren mit nichtregulären banachraumwertigen Symbolen.

Degree: 2009, Johannes Gutenberg Universität Mainz

URL: http://ubm.opus.hbz-nrw.de/volltexte/2009/1904/

►

Untersucht werden in der vorliegenden Arbeit Versionen des Satzes von Michlin f¨r Pseudodiﬀe- u rentialoperatoren mit nicht-regul¨ren banachraumwertigen Symbolen und deren Anwendungen a auf die… (more)

▼

Untersucht werden in der vorliegenden Arbeit Versionen des Satzes von Michlin f¨r Pseudodiﬀe- u rentialoperatoren mit nicht-regul¨ren banachraumwertigen Symbolen und deren Anwendungen a auf die Erzeugung analytischer Halbgruppen von solchen Operatoren auf vektorwertigen Sobo- levr¨umen Wp (Rn

E), wobei k ∈ N0

1 ≤ p ≤ ∞ und E ein Banachraum ist. a k F¨r einen beliebigen Banachraum E und beliebige L(E)−wertige Symbole ist es unm¨glich u o einen Satz von Michlin auf Lp (R n

E) zu erhalten. Deshalb ersetzen wir den L −Raum durch p den Vektorraum V (Rn

E), der durch die Vereinigung aller Besovr¨ume Bp,q (Rn

E) erkl¨rt a s a ist. F¨r Banachr¨ume Ei

i = 0, 1, 2, Skalare m ∈ R, l, ρ ∈ N mit ρ ≥ 2l > n und Symbo- u a m,ρ le a ∈ S1,0 (Rn

E1 )

die beschr¨nkte stetige Ableitungen bis zur Ordnung ρ besitzen, wird a gezeigt, dass es eine eindeutige lineare Abbildung a (D) : V (Rn

E2 ) −→ V (Rn

E0 ) gibt, so dass a (D) ∈ L(Bp,q (Rn

E2 )

Bp,q (Rn

E0 )) und ihre Restriktion auf jeder Schnittmenge s+m s ∞ Cb (Rn

E2 ) ∩ Bp,q (Rn

E2 ) (s ∈ R, p, q ∈ [1, ∞]) mit der klassischen Deﬁnition des Pseu- s+m dodiﬀerentialoperators a(D), der in [Ku,81] durch ein oszillatorisches Integral deﬁniert wurde, ubereinstimmt. Mit Hilfe dieser Version des Satzes von Michlin wird bewiesen, dass geeignete Re- ¨ striktionen des Operators −a (D) analytische Halbgruppen auf den Besovr¨umen Bp,q (Rn

E0 ) a s und C ∞ −Halbgruppen auf den Sobolevr¨umen Wp (Rn

E0 ) erzeugen. a k Weiterhin wird aus a (D) ∈ L(Bp,q (Rn

E2 )

Bp,q (Rn

E0 )), der stetigen Einbettung s+m s Bp,1 (Rn

E) → Wp (Rn

E) → Bp,∞ (Rn

E) k k k (1 ≤ p ≤ ∞) k und einigen Eigenschaften der Interpolationstheorie hergeleitet, dass die Wp −Realisierung eines parabolischen Pseudodiﬀerentialoperators, dessen entsprechendes Symbol einen m−homogenen Hauptteil besitzt, der negative Erzeuger einer analytischen Halbgruppe auf Wp (Rn

E0 ) ist k (und sogar eine stark stetige Halbgruppe, wenn p < ∞). Daraus…

Subjects/Keywords: Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Barraza Martinez, B. (2009). Pseudodifferentialoperatoren mit nichtregulären banachraumwertigen Symbolen. (Doctoral Dissertation). Johannes Gutenberg Universität Mainz. Retrieved from http://ubm.opus.hbz-nrw.de/volltexte/2009/1904/

Chicago Manual of Style (16^th Edition):

Barraza Martinez, Bienvenido. “Pseudodifferentialoperatoren mit nichtregulären banachraumwertigen Symbolen.” 2009. Doctoral Dissertation, Johannes Gutenberg Universität Mainz. Accessed January 22, 2021. http://ubm.opus.hbz-nrw.de/volltexte/2009/1904/.

MLA Handbook (7^th Edition):

Barraza Martinez, Bienvenido. “Pseudodifferentialoperatoren mit nichtregulären banachraumwertigen Symbolen.” 2009. Web. 22 Jan 2021.

Vancouver:

Barraza Martinez B. Pseudodifferentialoperatoren mit nichtregulären banachraumwertigen Symbolen. [Internet] [Doctoral dissertation]. Johannes Gutenberg Universität Mainz; 2009. [cited 2021 Jan 22]. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2009/1904/.

Council of Science Editors:

Barraza Martinez B. Pseudodifferentialoperatoren mit nichtregulären banachraumwertigen Symbolen. [Doctoral Dissertation]. Johannes Gutenberg Universität Mainz; 2009. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2009/1904/

Johannes Gutenberg Universität Mainz

6. Schürg, Timo. Deriving Deligne-Mumford stacks with perfect obstruction theories.

Degree: 2011, Johannes Gutenberg Universität Mainz

URL: http://ubm.opus.hbz-nrw.de/volltexte/2011/2881/

►

Intersection theory on moduli spaces has lead to immense progress in certain areas of enumerative geometry. For some important areas, most notably counting stable maps… (more)

▼

Intersection theory on moduli spaces has lead to immense progress in certain areas of enumerative geometry. For some important areas, most notably counting stable maps and counting stable sheaves, it is important to work with a virtual fundamental class instead of the usual fundamental class of the moduli space. The crucial prerequisite for the existence of such a class is a two-term complex controlling deformations of the moduli space. Kontsevich conjectured in 1994 that there should exist derived version of spaces with this specific property. Another hint at the existence of these spaces comes from derived algebraic geometry. It is expected that for every pair of a space and a complex controlling deformations of the space their exists, under some additional hypothesis, a derived version of the space having the chosen complex as cotangent complex. In this thesis one version of these additional hypothesis is identified. We then show that every space admitting a two-term complex controlling deformations satisfies these hypothesis, and we finally construct the derived spaces.

Schnitttheorie auf Modulräumen hat in vielen Bereichen der enumerativen Geometrie zu immensen Fortschritten geführt. Für einige wichtige Probleme, allen voran das Zählen von stabilen Abbildungen und das Zählen von stabilen Garben, ist es notwendig, statt mit der Fundamentalklasse des Modulraums mit einer virtuellen Fundamentalklasse zu arbeiten. Die entscheidende Bedingung für die Existenz einer solchen virtuellen Fundamentalklasse ist, dass ein Zweitermkomplex die Deformationstheorie des Modulraums kontrolliert.Für Modulräume mit dieser Eigenschaft hat Kontsevich 1994 vermutet, dass es derivierte Versionen dieser Modulräume gibt. Ein weiteres Indiz für die Existenz dieser Räume stammt aus der Theorie der derivierten algebraischen Geometrie. Dort wird vermutet, dass für jedes Paar bestehend aus einem Modulraum und einem Komplex, der die Deformationen des Modulraums kontrolliert,unter gewissen Zusatzbedingungen ein derivierter Modulraum existiert, der den gewählten Komplex als Kotangentialkomplex besitzt. In dieser Arbeit wird eine Form dieser nötigen zusätzlichen Bedingungen formuliert. Darüber hinaus wird gezeigt, dass diese Bedingungen für jeden Modulraum, dessen Deformationstheorie durch einen 2-Term Komplex kontrolliert wird, erfüllt sind. Schließlich werden die derivierten Modulräume mit den vorgegebenen Eigenschaften konstruiert.

Subjects/Keywords: Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Schürg, T. (2011). Deriving Deligne-Mumford stacks with perfect obstruction theories. (Doctoral Dissertation). Johannes Gutenberg Universität Mainz. Retrieved from http://ubm.opus.hbz-nrw.de/volltexte/2011/2881/

Chicago Manual of Style (16^th Edition):

Schürg, Timo. “Deriving Deligne-Mumford stacks with perfect obstruction theories.” 2011. Doctoral Dissertation, Johannes Gutenberg Universität Mainz. Accessed January 22, 2021. http://ubm.opus.hbz-nrw.de/volltexte/2011/2881/.

MLA Handbook (7^th Edition):

Schürg, Timo. “Deriving Deligne-Mumford stacks with perfect obstruction theories.” 2011. Web. 22 Jan 2021.

Vancouver:

Schürg T. Deriving Deligne-Mumford stacks with perfect obstruction theories. [Internet] [Doctoral dissertation]. Johannes Gutenberg Universität Mainz; 2011. [cited 2021 Jan 22]. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2011/2881/.

Council of Science Editors:

Schürg T. Deriving Deligne-Mumford stacks with perfect obstruction theories. [Doctoral Dissertation]. Johannes Gutenberg Universität Mainz; 2011. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2011/2881/

Johannes Gutenberg Universität Mainz

7. Zayadeh, Raphael. Picard-Fuchs equations of dimensionally regulated Feynman integrals.

Degree: 2013, Johannes Gutenberg Universität Mainz

URL: http://ubm.opus.hbz-nrw.de/volltexte/2014/3663/

►

Zusammenfassung In der vorliegenden Arbeit besch¨aftige ich mich mit Differentialgleichungen von Feynman– Integralen. Ein Feynman–Integral h¨angt von einem Dimensionsparameter D ab und kann f¨ur ganzzahlige… (more)

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Zusammenfassung In der vorliegenden Arbeit besch¨aftige ich mich mit Differentialgleichungen von Feynman– Integralen. Ein Feynman–Integral h¨angt von einem Dimensionsparameter D ab und kann f¨ur ganzzahlige Dimension als projektives Integral dargestellt werden. Dies ist die sogenannte Feynman–Parameter Darstellung. In Abh¨angigkeit der Dimension kann ein solches Integral divergieren. Als Funktion in D erh¨alt man eine meromorphe Funktion auf ganz C. Ein divergentes Integral kann also durch eine Laurent–Reihe ersetzt werden und dessen Koeffizienten r¨ucken in das Zentrum des Interesses. Diese Vorgehensweise wird als dimensionale Regularisierung bezeichnet. Alle Terme einer solchen Laurent–Reihe eines Feynman–Integrals sind Perioden im Sinne von Kontsevich und Zagier. Ich beschreibe eine neue Methode zur Berechnung von Differentialgleichungen von Feynman– Integralen. ¨ Ublicherweise verwendet man hierzu die sogenannten ”integration by parts” (IBP)– Identit¨aten. Die neue Methode verwendet die Theorie der Picard–Fuchs–Differentialgleichungen. Im Falle projektiver oder quasi–projektiver Variet¨aten basiert die Berechnung einer solchen Differentialgleichung auf der sogenannten Griffiths–Dwork–Reduktion. Zun¨achst beschreibe ich die Methode f¨ur feste, ganzzahlige Dimension. Nach geeigneter Verschiebung der Dimension erh¨alt man direkt eine Periode und somit eine Picard–Fuchs–Differentialgleichung. Diese ist inhomogen, da das Integrationsgebiet einen Rand besitzt und daher nur einen relativen Zykel darstellt. Mit Hilfe von dimensionalen Rekurrenzrelationen, die auf Tarasov zur¨uckgehen, kann in einem zweiten Schritt die L¨osung in der urspr¨unglichen Dimension bestimmt werden. Ich beschreibe außerdem eine Methode, die auf der Griffiths–Dwork–Reduktion basiert, um die Differentialgleichung direkt f¨ur beliebige Dimension zu berechnen. Diese Methode ist allgemein g¨ultig und erspart Dimensionswechsel. Ein Erfolg der Methode h¨angt von der M¨oglichkeit ab, große Systeme von linearen Gleichungen zu l¨osen. Ich gebe Beispiele von Integralen von Graphen mit zwei und drei Schleifen. Tarasov gibt eine Basis von Integralen an, die Graphen mit zwei Schleifen und zwei externen Kanten bestimmen. Ich bestimme Differentialgleichungen der Integrale dieser Basis. Als wichtigstes Beispiel berechne ich die Differentialgleichung des sogenannten Sunrise–Graphen mit zwei Schleifen im allgemeinen Fall beliebiger Massen. Diese ist f¨ur spezielle Werte von D eine inhomogene Picard–Fuchs–Gleichung einer Familie elliptischer Kurven. Der Sunrise–Graph ist besonders interessant, weil eine analytische L¨osung erst mit dieser Methode gefunden werden konnte, und weil dies der einfachste Graph ist, dessen Master–Integrale nicht durch Polylogarithmen gegeben sind. Ich gebe außerdem ein Beispiel eines Graphen mit drei Schleifen. Hier taucht die Picard–Fuchs–Gleichung einer Familie von K3–Fl¨achen auf.

Abstract This thesis is devoted to studying differential equations of Feynman integrals. A Feynman integral depends on a dimension D. For integer values…

Subjects/Keywords: Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Zayadeh, R. (2013). Picard-Fuchs equations of dimensionally regulated Feynman integrals. (Doctoral Dissertation). Johannes Gutenberg Universität Mainz. Retrieved from http://ubm.opus.hbz-nrw.de/volltexte/2014/3663/

Chicago Manual of Style (16^th Edition):

Zayadeh, Raphael. “Picard-Fuchs equations of dimensionally regulated Feynman integrals.” 2013. Doctoral Dissertation, Johannes Gutenberg Universität Mainz. Accessed January 22, 2021. http://ubm.opus.hbz-nrw.de/volltexte/2014/3663/.

MLA Handbook (7^th Edition):

Zayadeh, Raphael. “Picard-Fuchs equations of dimensionally regulated Feynman integrals.” 2013. Web. 22 Jan 2021.

Vancouver:

Zayadeh R. Picard-Fuchs equations of dimensionally regulated Feynman integrals. [Internet] [Doctoral dissertation]. Johannes Gutenberg Universität Mainz; 2013. [cited 2021 Jan 22]. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2014/3663/.

Council of Science Editors:

Zayadeh R. Picard-Fuchs equations of dimensionally regulated Feynman integrals. [Doctoral Dissertation]. Johannes Gutenberg Universität Mainz; 2013. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2014/3663/

Johannes Gutenberg Universität Mainz

8. Schmitz, Stephan. Representation theorems for indefinite quadratic forms and applications.

Degree: 2014, Johannes Gutenberg Universität Mainz

URL: http://ubm.opus.hbz-nrw.de/volltexte/2014/3726/

►

Diese Arbeit widmet sich den Darstellungssätzen für symmetrische indefinite (das heißt nicht-halbbeschränkte) Sesquilinearformen und deren Anwendungen. Insbesondere betrachten wir den Fall, dass der zur Form… (more)

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Diese Arbeit widmet sich den Darstellungssätzen für symmetrische indefinite (das heißt nicht-halbbeschränkte) Sesquilinearformen und deren Anwendungen. Insbesondere betrachten wir den Fall, dass der zur Form assoziierte Operator keine Spektrallücke um Null besitzt. Desweiteren untersuchen wir die Beziehung zwischen reduzierenden Graphräumen, Lösungen von Operator-Riccati-Gleichungen und der Block-Diagonalisierung für diagonaldominante Block-Operator-Matrizen. Mit Hilfe der Darstellungssätze wird eine entsprechende Beziehung zwischen Operatoren, die zu indefiniten Formen assoziiert sind, und Form-Riccati-Gleichungen erreicht. In diesem Rahmen wird eine explizite Block-Diagonalisierung und eine Spektralzerlegung für den Stokes Operator sowie eine Darstellung für dessen Kern erreicht. Wir wenden die Darstellungssätze auf durch (grad u, h() grad v) gegebene Formen an, wobei Vorzeichen-indefinite Koeffzienten-Matrizen h() zugelassen sind. Als ein Resultat werden selbstadjungierte indefinite Differentialoperatoren div h() grad mit homogenen Dirichlet oder Neumann Randbedingungen konstruiert. Beispiele solcher Art sind Operatoren die in der Modellierung von optischen Metamaterialien auftauchen und links-indefinite Sturm-Liouville Operatoren.

This thesis is devoted to the Representation Theorems for symmetric indefinite (that is non-semibounded) sesquilinear forms and their applications. In particular, we consider the case where the operator associated with the form does not have a spectral gap around zero. Furthermore, the relation between reducing graph subspaces, solutions to Operator Riccati equations, and block diagonalisation of diagonally dominant block Operator matrices is investigated. By means of the Representation Theorems, a corresponding relation is established for operators associated with indefinite forms and form Riccati equations. In this framework,an explicit block diagonalisation and a spectral decomposition of the Stokes Operator as well as a representation for its kernel are obtained. We apply the Representation Theorems to forms given by (grad u, h() grad v), where the coefficient matrices h() are allowed to be sign-indefinite. As a result, indefinite self-adjoint differential operators div h() grad with homogeneous Dirichlet or Neumann boundary conditions are constructed. Examples of such kind are operators related to the modelling of optical metamaterials and left-indefinite Sturm-Liouville operators.

Subjects/Keywords: Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Schmitz, S. (2014). Representation theorems for indefinite quadratic forms and applications. (Doctoral Dissertation). Johannes Gutenberg Universität Mainz. Retrieved from http://ubm.opus.hbz-nrw.de/volltexte/2014/3726/

Chicago Manual of Style (16^th Edition):

Schmitz, Stephan. “Representation theorems for indefinite quadratic forms and applications.” 2014. Doctoral Dissertation, Johannes Gutenberg Universität Mainz. Accessed January 22, 2021. http://ubm.opus.hbz-nrw.de/volltexte/2014/3726/.

MLA Handbook (7^th Edition):

Schmitz, Stephan. “Representation theorems for indefinite quadratic forms and applications.” 2014. Web. 22 Jan 2021.

Vancouver:

Schmitz S. Representation theorems for indefinite quadratic forms and applications. [Internet] [Doctoral dissertation]. Johannes Gutenberg Universität Mainz; 2014. [cited 2021 Jan 22]. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2014/3726/.

Council of Science Editors:

Schmitz S. Representation theorems for indefinite quadratic forms and applications. [Doctoral Dissertation]. Johannes Gutenberg Universität Mainz; 2014. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2014/3726/

Johannes Gutenberg Universität Mainz

9. Lan, Guitang. Periodic Higgs-de Rham flows and representations of algebraic fundamental groups.

Degree: 2014, Johannes Gutenberg Universität Mainz

URL: http://ubm.opus.hbz-nrw.de/volltexte/2014/3784/

►

Let k := bar{F}_p for p > 2, W_n(k) := W(k)/pⁿ and X_n be a projective smooth W_n(k)-scheme which is W_n+1(k)-liftable. For all n >… (more)

Subjects/Keywords: Mathematics

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APA (6^th Edition):

Lan, G. (2014). Periodic Higgs-de Rham flows and representations of algebraic fundamental groups. (Doctoral Dissertation). Johannes Gutenberg Universität Mainz. Retrieved from http://ubm.opus.hbz-nrw.de/volltexte/2014/3784/

Chicago Manual of Style (16^th Edition):

Lan, Guitang. “Periodic Higgs-de Rham flows and representations of algebraic fundamental groups.” 2014. Doctoral Dissertation, Johannes Gutenberg Universität Mainz. Accessed January 22, 2021. http://ubm.opus.hbz-nrw.de/volltexte/2014/3784/.

MLA Handbook (7^th Edition):

Lan, Guitang. “Periodic Higgs-de Rham flows and representations of algebraic fundamental groups.” 2014. Web. 22 Jan 2021.

Vancouver:

Lan G. Periodic Higgs-de Rham flows and representations of algebraic fundamental groups. [Internet] [Doctoral dissertation]. Johannes Gutenberg Universität Mainz; 2014. [cited 2021 Jan 22]. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2014/3784/.

Council of Science Editors:

Lan G. Periodic Higgs-de Rham flows and representations of algebraic fundamental groups. [Doctoral Dissertation]. Johannes Gutenberg Universität Mainz; 2014. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2014/3784/

Johannes Gutenberg Universität Mainz

10. Berg, Tobias. Non-parametric estimation of the diffusion coefficient of a branching diffusion with immigration.

Degree: 2015, Johannes Gutenberg Universität Mainz

URL: http://ubm.opus.hbz-nrw.de/volltexte/2015/4096/

►

Wir betrachten Systeme von endlich vielen Partikeln, wobei die Partikel sich unabhängig voneinander gemäß eindimensionaler Diffusionen [dX_t = b(X_t),dt + sigma(X_t),dW_t] bewegen. Die Partikel sterben… (more)

Subjects/Keywords: Mathematics

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APA (6^th Edition):

Berg, T. (2015). Non-parametric estimation of the diffusion coefficient of a branching diffusion with immigration. (Doctoral Dissertation). Johannes Gutenberg Universität Mainz. Retrieved from http://ubm.opus.hbz-nrw.de/volltexte/2015/4096/

Chicago Manual of Style (16^th Edition):

Berg, Tobias. “Non-parametric estimation of the diffusion coefficient of a branching diffusion with immigration.” 2015. Doctoral Dissertation, Johannes Gutenberg Universität Mainz. Accessed January 22, 2021. http://ubm.opus.hbz-nrw.de/volltexte/2015/4096/.

MLA Handbook (7^th Edition):

Berg, Tobias. “Non-parametric estimation of the diffusion coefficient of a branching diffusion with immigration.” 2015. Web. 22 Jan 2021.

Vancouver:

Berg T. Non-parametric estimation of the diffusion coefficient of a branching diffusion with immigration. [Internet] [Doctoral dissertation]. Johannes Gutenberg Universität Mainz; 2015. [cited 2021 Jan 22]. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2015/4096/.

Council of Science Editors:

Berg T. Non-parametric estimation of the diffusion coefficient of a branching diffusion with immigration. [Doctoral Dissertation]. Johannes Gutenberg Universität Mainz; 2015. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2015/4096/

11. Reed, Matthew. The Central Limit Theorem for Linear Spectral Statistics of Submatrices of the Gaussian Wigner Random Matrices.

Degree: 2014, University of California, Davis

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=3646379

► The main topic addressed here is the joint distribution of spectra of submatrices M⁽¹⁾ and M⁽²⁾ of large Gaussian Wigner matrices M. A multidimensional… (more)

Subjects/Keywords: Mathematics

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APA (6^th Edition):

Reed, M. (2014). The Central Limit Theorem for Linear Spectral Statistics of Submatrices of the Gaussian Wigner Random Matrices. (Thesis). University of California, Davis. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=3646379

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Reed, Matthew. “The Central Limit Theorem for Linear Spectral Statistics of Submatrices of the Gaussian Wigner Random Matrices.” 2014. Thesis, University of California, Davis. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=3646379.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Reed, Matthew. “The Central Limit Theorem for Linear Spectral Statistics of Submatrices of the Gaussian Wigner Random Matrices.” 2014. Web. 22 Jan 2021.

Vancouver:

Reed M. The Central Limit Theorem for Linear Spectral Statistics of Submatrices of the Gaussian Wigner Random Matrices. [Internet] [Thesis]. University of California, Davis; 2014. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=3646379.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Reed M. The Central Limit Theorem for Linear Spectral Statistics of Submatrices of the Gaussian Wigner Random Matrices. [Thesis]. University of California, Davis; 2014. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=3646379

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

12. Miller, Robert L. Models for the Interaction of Structured Populations and the Environment.

Degree: 2016, University of Louisiana at Lafayette

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=10002473

► Chapter 1 of this thesis describes the historical development and application of size-structured models and their role in modeling the population dynamics of biological… (more)

Subjects/Keywords: Mathematics

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APA (6^th Edition):

Miller, R. L. (2016). Models for the Interaction of Structured Populations and the Environment. (Thesis). University of Louisiana at Lafayette. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=10002473

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Miller, Robert L. “Models for the Interaction of Structured Populations and the Environment.” 2016. Thesis, University of Louisiana at Lafayette. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=10002473.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Miller, Robert L. “Models for the Interaction of Structured Populations and the Environment.” 2016. Web. 22 Jan 2021.

Vancouver:

Miller RL. Models for the Interaction of Structured Populations and the Environment. [Internet] [Thesis]. University of Louisiana at Lafayette; 2016. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=10002473.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Miller RL. Models for the Interaction of Structured Populations and the Environment. [Thesis]. University of Louisiana at Lafayette; 2016. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=10002473

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

13. Shannon, Erica Hilary. Computing invariant forms for Lie algebras using heaps.

Degree: 2016, University of Colorado at Boulder

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=10150997

► In this thesis, I present a combinatorial formula for a symmetric invariant quartic form on a spin module for the simple Lie algebra d_…
(more)

Subjects/Keywords: Mathematics

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APA (6^th Edition):

Shannon, E. H. (2016). Computing invariant forms for Lie algebras using heaps. (Thesis). University of Colorado at Boulder. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=10150997

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Shannon, Erica Hilary. “Computing invariant forms for Lie algebras using heaps.” 2016. Thesis, University of Colorado at Boulder. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=10150997.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Shannon, Erica Hilary. “Computing invariant forms for Lie algebras using heaps.” 2016. Web. 22 Jan 2021.

Vancouver:

Shannon EH. Computing invariant forms for Lie algebras using heaps. [Internet] [Thesis]. University of Colorado at Boulder; 2016. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=10150997.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Shannon EH. Computing invariant forms for Lie algebras using heaps. [Thesis]. University of Colorado at Boulder; 2016. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=10150997

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Dalhousie University

14. Alzubadi, Hanadi. ANALYSIS OF CLUSTER AND STRIPE SOLUTIONS IN A ONE-DIMENSIONAL MODEL OF BIOLOGICAL AGGREGATION.

Degree: MS, Department of Mathematics & Statistics - Math Division, 2012, Dalhousie University

URL: http://hdl.handle.net/10222/14880

►

This thesis in Applied math reseach study in biological swarming analysis

This thesis studies the model of swarming of organisms in groups or clusters and… (more)

Subjects/Keywords: Mathematics

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APA (6^th Edition):

Alzubadi, H. (2012). ANALYSIS OF CLUSTER AND STRIPE SOLUTIONS IN A ONE-DIMENSIONAL MODEL OF BIOLOGICAL AGGREGATION. (Masters Thesis). Dalhousie University. Retrieved from http://hdl.handle.net/10222/14880

Chicago Manual of Style (16^th Edition):

Alzubadi, Hanadi. “ANALYSIS OF CLUSTER AND STRIPE SOLUTIONS IN A ONE-DIMENSIONAL MODEL OF BIOLOGICAL AGGREGATION.” 2012. Masters Thesis, Dalhousie University. Accessed January 22, 2021. http://hdl.handle.net/10222/14880.

MLA Handbook (7^th Edition):

Alzubadi, Hanadi. “ANALYSIS OF CLUSTER AND STRIPE SOLUTIONS IN A ONE-DIMENSIONAL MODEL OF BIOLOGICAL AGGREGATION.” 2012. Web. 22 Jan 2021.

Vancouver:

Alzubadi H. ANALYSIS OF CLUSTER AND STRIPE SOLUTIONS IN A ONE-DIMENSIONAL MODEL OF BIOLOGICAL AGGREGATION. [Internet] [Masters thesis]. Dalhousie University; 2012. [cited 2021 Jan 22]. Available from: http://hdl.handle.net/10222/14880.

Council of Science Editors:

Alzubadi H. ANALYSIS OF CLUSTER AND STRIPE SOLUTIONS IN A ONE-DIMENSIONAL MODEL OF BIOLOGICAL AGGREGATION. [Masters Thesis]. Dalhousie University; 2012. Available from: http://hdl.handle.net/10222/14880

15. Zhang, Jiaxin. character amenable Banach algebras.

Degree: MS, Mathematics and Statistics, 2012, National Library of Canada

URL: http://scholar.uwindsor.ca/etd/354

► In this thesis, we survey the properties of character amenable Banach algebras. Character amenability is a cohomological property weaker than the classical amenability introduced… (more)

Subjects/Keywords: Mathematics.

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APA (6^th Edition):

Zhang, J. (2012). character amenable Banach algebras. (Masters Thesis). National Library of Canada. Retrieved from http://scholar.uwindsor.ca/etd/354

Chicago Manual of Style (16^th Edition):

Zhang, Jiaxin. “character amenable Banach algebras.” 2012. Masters Thesis, National Library of Canada. Accessed January 22, 2021. http://scholar.uwindsor.ca/etd/354.

MLA Handbook (7^th Edition):

Zhang, Jiaxin. “character amenable Banach algebras.” 2012. Web. 22 Jan 2021.

Vancouver:

Zhang J. character amenable Banach algebras. [Internet] [Masters thesis]. National Library of Canada; 2012. [cited 2021 Jan 22]. Available from: http://scholar.uwindsor.ca/etd/354.

Council of Science Editors:

Zhang J. character amenable Banach algebras. [Masters Thesis]. National Library of Canada; 2012. Available from: http://scholar.uwindsor.ca/etd/354

16. Asgari Moslehabadi, Mina. A Probabilistic Algorithm for the Solution of Homogeneous Linear Inequalities.

Degree: MS, Mathematics and Statistics, 2010, National Library of Canada

URL: http://scholar.uwindsor.ca/etd/348

► This thesis presents a probabilistic algorithm for the solution of system of homogeneous linear inequality constraints. In fact, the proposed method simultaneously provides information… (more)

Subjects/Keywords: Mathematics.

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APA (6^th Edition):

Asgari Moslehabadi, M. (2010). A Probabilistic Algorithm for the Solution of Homogeneous Linear Inequalities. (Masters Thesis). National Library of Canada. Retrieved from http://scholar.uwindsor.ca/etd/348

Chicago Manual of Style (16^th Edition):

Asgari Moslehabadi, Mina. “A Probabilistic Algorithm for the Solution of Homogeneous Linear Inequalities.” 2010. Masters Thesis, National Library of Canada. Accessed January 22, 2021. http://scholar.uwindsor.ca/etd/348.

MLA Handbook (7^th Edition):

Asgari Moslehabadi, Mina. “A Probabilistic Algorithm for the Solution of Homogeneous Linear Inequalities.” 2010. Web. 22 Jan 2021.

Vancouver:

Asgari Moslehabadi M. A Probabilistic Algorithm for the Solution of Homogeneous Linear Inequalities. [Internet] [Masters thesis]. National Library of Canada; 2010. [cited 2021 Jan 22]. Available from: http://scholar.uwindsor.ca/etd/348.

Council of Science Editors:

Asgari Moslehabadi M. A Probabilistic Algorithm for the Solution of Homogeneous Linear Inequalities. [Masters Thesis]. National Library of Canada; 2010. Available from: http://scholar.uwindsor.ca/etd/348

17. Howell, Bradley. Filter Base Integration.

Degree: MS, Mathematics and Statistics, 2011, National Library of Canada

URL: http://scholar.uwindsor.ca/etd/350

► In this paper we seek to investigate and compare several Kurzweil-Henstock type integrals. We present these integrals as special cases of a more general… (more)

Subjects/Keywords: Mathematics.

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APA (6^th Edition):

Howell, B. (2011). Filter Base Integration. (Masters Thesis). National Library of Canada. Retrieved from http://scholar.uwindsor.ca/etd/350

Chicago Manual of Style (16^th Edition):

Howell, Bradley. “Filter Base Integration.” 2011. Masters Thesis, National Library of Canada. Accessed January 22, 2021. http://scholar.uwindsor.ca/etd/350.

MLA Handbook (7^th Edition):

Howell, Bradley. “Filter Base Integration.” 2011. Web. 22 Jan 2021.

Vancouver:

Howell B. Filter Base Integration. [Internet] [Masters thesis]. National Library of Canada; 2011. [cited 2021 Jan 22]. Available from: http://scholar.uwindsor.ca/etd/350.

Council of Science Editors:

Howell B. Filter Base Integration. [Masters Thesis]. National Library of Canada; 2011. Available from: http://scholar.uwindsor.ca/etd/350

Utah State University

18. Parry, Alan R. A classification of real indecomposable solvable Lie algebras of small dimension with codimension one nilradicals.

Degree: 2008, Utah State University

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=1448067

► This thesis was concerned with classifying the real indecomposable solvable Lie algebras with codimension one nilradicals of dimensions two through seven. This thesis was… (more)

Subjects/Keywords: Mathematics

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APA (6^th Edition):

Parry, A. R. (2008). A classification of real indecomposable solvable Lie algebras of small dimension with codimension one nilradicals. (Thesis). Utah State University. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=1448067

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Parry, Alan R. “A classification of real indecomposable solvable Lie algebras of small dimension with codimension one nilradicals.” 2008. Thesis, Utah State University. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=1448067.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Parry, Alan R. “A classification of real indecomposable solvable Lie algebras of small dimension with codimension one nilradicals.” 2008. Web. 22 Jan 2021.

Vancouver:

Parry AR. A classification of real indecomposable solvable Lie algebras of small dimension with codimension one nilradicals. [Internet] [Thesis]. Utah State University; 2008. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1448067.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Parry AR. A classification of real indecomposable solvable Lie algebras of small dimension with codimension one nilradicals. [Thesis]. Utah State University; 2008. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1448067

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

19. Taylor, Kye. Sparse recovery and parameterization of manifold-valued data.

Degree: 2008, University of Colorado at Boulder

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=1453576

► Researchers are often confronted with high-dimensional datasets that contain some low-dimensional structure they would like to detect and emphasize with a more efficient description.… (more)

▼ Researchers are often confronted with high-dimensional datasets that contain some low-dimensional structure they would like to detect and emphasize with a more efficient description. Adding to the difficulties in recovering this structure in high dimensions is noise or uncertainty in the measurements that will be present in all real datasets. Despite this reality, there has been little exploration into how noise affects recovering the low-dimensional structure and possible ways to remedy these effects. Several popular methods that can detect noise-free manifold signals in high-dimensions rely on approximations to the Laplace-Beltrami operator defined on the dataset. This operator encodes geometrical properties of the low-dimensional space where the data lies. Consequently, the eigenfunctions of the operator also contain information about the geometry of the space where the data originated. The set of eigenfunctions form a basis for square integrable functions defined on the dataset and converge to the eigenfunctions of the manifold's Laplacian as the distance between data points sampled from the manifold decreases. In this thesis we explore recovering the eigenfunctions of the manifold's Laplacian when the data is corrupted by noise. Then, using the regularized eigenfunctions, we recover the true signal itself. In addition, we also examine parameterizing a dataset by relationships between local neighborhoods instead of by relationships between single data points alone. This emphasizes the local nature of the manifold structure, suppresses the impact of the noise on the parameterization, as well as opens up doors to multi-scale processing. We develop and analyze these ideas along with an iterative technique that simultaneously regularizes and parameterizes the manifold signal. This algorithm is tested on three different manifold signals: curves, surfaces, and images. For each data type, the proposed algorithm outperforms state-of-the-art methods for removing noise.

Subjects/Keywords: Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Taylor, K. (2008). Sparse recovery and parameterization of manifold-valued data. (Thesis). University of Colorado at Boulder. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=1453576

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Taylor, Kye. “Sparse recovery and parameterization of manifold-valued data.” 2008. Thesis, University of Colorado at Boulder. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=1453576.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Taylor, Kye. “Sparse recovery and parameterization of manifold-valued data.” 2008. Web. 22 Jan 2021.

Vancouver:

Taylor K. Sparse recovery and parameterization of manifold-valued data. [Internet] [Thesis]. University of Colorado at Boulder; 2008. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1453576.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Taylor K. Sparse recovery and parameterization of manifold-valued data. [Thesis]. University of Colorado at Boulder; 2008. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1453576

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

20. Douglas, Emmeline P. Clustering datasets with singular value decomposition.

Degree: 2009, College of Charleston

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=1461189

► Spectral graph partitioning has been widely acknowledged as a useful way to cluster matrices. Since eigen decompositions do not exist for rectangular matrices, it… (more)

Subjects/Keywords: Mathematics

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APA (6^th Edition):

Douglas, E. P. (2009). Clustering datasets with singular value decomposition. (Thesis). College of Charleston. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=1461189

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Douglas, Emmeline P. “Clustering datasets with singular value decomposition.” 2009. Thesis, College of Charleston. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=1461189.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Douglas, Emmeline P. “Clustering datasets with singular value decomposition.” 2009. Web. 22 Jan 2021.

Vancouver:

Douglas EP. Clustering datasets with singular value decomposition. [Internet] [Thesis]. College of Charleston; 2009. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1461189.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Douglas EP. Clustering datasets with singular value decomposition. [Thesis]. College of Charleston; 2009. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1461189

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Iowa State University

21. Khemphet, Anchalee. The extreme points of symmetric norms on R2.

Degree: 2009, Iowa State University

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=1461970

► Let C_G be a set of symmetric norms on [special characters omitted] such that p(0, 1) = p(1, 0) = 1 for any norm… (more)

Subjects/Keywords: Mathematics

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APA (6^th Edition):

Khemphet, A. (2009). The extreme points of symmetric norms on R2. (Thesis). Iowa State University. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=1461970

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Khemphet, Anchalee. “The extreme points of symmetric norms on R2.” 2009. Thesis, Iowa State University. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=1461970.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Khemphet, Anchalee. “The extreme points of symmetric norms on R2.” 2009. Web. 22 Jan 2021.

Vancouver:

Khemphet A. The extreme points of symmetric norms on R2. [Internet] [Thesis]. Iowa State University; 2009. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1461970.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Khemphet A. The extreme points of symmetric norms on R2. [Thesis]. Iowa State University; 2009. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1461970

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

San Jose State University

22. Payne, Helene M. Laurent polynomial representations of sl (n).

Degree: 2009, San Jose State University

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=1463379

► In this thesis,we study infinite dimensional representations of the special linear Lie algebras [special characters omitted](n). These representations arise naturally from the Weyl construction… (more)

Subjects/Keywords: Mathematics

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APA (6^th Edition):

Payne, H. M. (2009). Laurent polynomial representations of sl (n). (Thesis). San Jose State University. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=1463379

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Payne, Helene M. “Laurent polynomial representations of sl (n).” 2009. Thesis, San Jose State University. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=1463379.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Payne, Helene M. “Laurent polynomial representations of sl (n).” 2009. Web. 22 Jan 2021.

Vancouver:

Payne HM. Laurent polynomial representations of sl (n). [Internet] [Thesis]. San Jose State University; 2009. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1463379.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Payne HM. Laurent polynomial representations of sl (n). [Thesis]. San Jose State University; 2009. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1463379

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

23. McGregor-Dorsey, Zachary Strider. Full heaps over Dynkin diagrams of type affine A.

Degree: 2009, University of Colorado at Boulder

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=1464557

► A full heap is an infinite partially ordered set with labeling taken from the nodes of an underlying Dynkin diagram, satisfying certain conditions intended… (more)

Subjects/Keywords: Mathematics

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APA (6^th Edition):

McGregor-Dorsey, Z. S. (2009). Full heaps over Dynkin diagrams of type affine A. (Thesis). University of Colorado at Boulder. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=1464557

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

McGregor-Dorsey, Zachary Strider. “Full heaps over Dynkin diagrams of type affine A.” 2009. Thesis, University of Colorado at Boulder. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=1464557.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

McGregor-Dorsey, Zachary Strider. “Full heaps over Dynkin diagrams of type affine A.” 2009. Web. 22 Jan 2021.

Vancouver:

McGregor-Dorsey ZS. Full heaps over Dynkin diagrams of type affine A. [Internet] [Thesis]. University of Colorado at Boulder; 2009. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1464557.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

McGregor-Dorsey ZS. Full heaps over Dynkin diagrams of type affine A. [Thesis]. University of Colorado at Boulder; 2009. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1464557

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

24. Silva, Nicole. On algebraic and transcendental numbers.

Degree: 2009, California State University, Long Beach

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=1466152

► The complex numbers which are roots of rational polynomials are known as algebraic numbers while their counterparts are known as transcendental. In the first… (more)

Subjects/Keywords: Mathematics

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APA (6^th Edition):

Silva, N. (2009). On algebraic and transcendental numbers. (Thesis). California State University, Long Beach. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=1466152

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Silva, Nicole. “On algebraic and transcendental numbers.” 2009. Thesis, California State University, Long Beach. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=1466152.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Silva, Nicole. “On algebraic and transcendental numbers.” 2009. Web. 22 Jan 2021.

Vancouver:

Silva N. On algebraic and transcendental numbers. [Internet] [Thesis]. California State University, Long Beach; 2009. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1466152.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Silva N. On algebraic and transcendental numbers. [Thesis]. California State University, Long Beach; 2009. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1466152

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

25. Brothers, Jonathan. Nonparametric regression using wavelet transformations and noise reduction in audio signals.

Degree: 2009, California State University, Long Beach

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=1466191

► A major concern in audio processing is the reduction or dampening of white noise. Any technique for noise reduction must maintain the musical integrity… (more)

Subjects/Keywords: Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Brothers, J. (2009). Nonparametric regression using wavelet transformations and noise reduction in audio signals. (Thesis). California State University, Long Beach. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=1466191

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Brothers, Jonathan. “Nonparametric regression using wavelet transformations and noise reduction in audio signals.” 2009. Thesis, California State University, Long Beach. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=1466191.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Brothers, Jonathan. “Nonparametric regression using wavelet transformations and noise reduction in audio signals.” 2009. Web. 22 Jan 2021.

Vancouver:

Brothers J. Nonparametric regression using wavelet transformations and noise reduction in audio signals. [Internet] [Thesis]. California State University, Long Beach; 2009. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1466191.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Brothers J. Nonparametric regression using wavelet transformations and noise reduction in audio signals. [Thesis]. California State University, Long Beach; 2009. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1466191

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

26. Dellaca, Roger D. Grobner basis algorithms.

Degree: 2009, California State University, Long Beach

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=1466198

► This thesis considers the correctness and termination of two Gröbner basis algorithms. After developing the theory of Gröbner bases, reviewing standard efficiencies, and giving… (more)

Subjects/Keywords: Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Dellaca, R. D. (2009). Grobner basis algorithms. (Thesis). California State University, Long Beach. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=1466198

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Dellaca, Roger D. “Grobner basis algorithms.” 2009. Thesis, California State University, Long Beach. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=1466198.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Dellaca, Roger D. “Grobner basis algorithms.” 2009. Web. 22 Jan 2021.

Vancouver:

Dellaca RD. Grobner basis algorithms. [Internet] [Thesis]. California State University, Long Beach; 2009. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1466198.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Dellaca RD. Grobner basis algorithms. [Thesis]. California State University, Long Beach; 2009. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1466198

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

27. Thomas, Andrew. The curve shortening flow.

Degree: 2009, California State University, Long Beach

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=1466353

► The curve shortening flow deforms a closed curve γ in the direction of its normal vectors. Precisely, one deforms γ by the evolution equation<display-math>… (more)

Subjects/Keywords: Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Thomas, A. (2009). The curve shortening flow. (Thesis). California State University, Long Beach. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=1466353

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Thomas, Andrew. “The curve shortening flow.” 2009. Thesis, California State University, Long Beach. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=1466353.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Thomas, Andrew. “The curve shortening flow.” 2009. Web. 22 Jan 2021.

Vancouver:

Thomas A. The curve shortening flow. [Internet] [Thesis]. California State University, Long Beach; 2009. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1466353.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Thomas A. The curve shortening flow. [Thesis]. California State University, Long Beach; 2009. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1466353

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

28. Tuzun, Robert Erol. Computational search for nontrivial knots with unit Jones polynomial.

Degree: 2010, State University of New York at Buffalo

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=1474196

► This thesis details a strategy for a computational search for a non-trivial knot with trivial Jones polynomial, based in large part on the recent… (more)

Subjects/Keywords: Mathematics

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APA (6^th Edition):

Tuzun, R. E. (2010). Computational search for nontrivial knots with unit Jones polynomial. (Thesis). State University of New York at Buffalo. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=1474196

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Tuzun, Robert Erol. “Computational search for nontrivial knots with unit Jones polynomial.” 2010. Thesis, State University of New York at Buffalo. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=1474196.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Tuzun, Robert Erol. “Computational search for nontrivial knots with unit Jones polynomial.” 2010. Web. 22 Jan 2021.

Vancouver:

Tuzun RE. Computational search for nontrivial knots with unit Jones polynomial. [Internet] [Thesis]. State University of New York at Buffalo; 2010. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1474196.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Tuzun RE. Computational search for nontrivial knots with unit Jones polynomial. [Thesis]. State University of New York at Buffalo; 2010. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1474196

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

29. Pham, Autumn Thu. Factorization of polynomials modulo a prime.

Degree: 2012, California State University, Long Beach

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=1517761

► The factorization of polynomials is a classical mathematical question. The quest of finding the factorization of a polynomial modulo a prime is of interest… (more)

Subjects/Keywords: Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Pham, A. T. (2012). Factorization of polynomials modulo a prime. (Thesis). California State University, Long Beach. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=1517761

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Pham, Autumn Thu. “Factorization of polynomials modulo a prime.” 2012. Thesis, California State University, Long Beach. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=1517761.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Pham, Autumn Thu. “Factorization of polynomials modulo a prime.” 2012. Web. 22 Jan 2021.

Vancouver:

Pham AT. Factorization of polynomials modulo a prime. [Internet] [Thesis]. California State University, Long Beach; 2012. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1517761.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Pham AT. Factorization of polynomials modulo a prime. [Thesis]. California State University, Long Beach; 2012. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=1517761

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of California, Berkeley

30. Brauner, Kalman George, Jr. A class of topologically free locally convex spaces and related group Hopf algebras.

Degree: 2007, University of California, Berkeley

URL: http://pqdtopen.proquest.com/#viewpdf?dispub=3270245

► A locally convex space E will be called p-reflexive provided the evaluation map from E to (E')' is a topological linear isomorphism, where the… (more)

▼ A locally convex space E will be called p-reflexive provided the evaluation map from E to (E')' is a topological linear isomorphism, where the dual space in each case is given the topology of precompact convergence. Let [special characters omitted] denote the category of p-reflexive spaces and continuous linear maps. [special characters omitted] is shown to be complete, cocomplete, and self-dual. Let Sets denote the category of sets and functions and ν:[special characters omitted] → Sets, the forgetful functor. Theorem. There exist functors Hom: [special characters omitted] × [special characters omitted] → [special characters omitted] and ⊗: [special characters omitted] × [special characters omitted] → [special characters omitted] such that (1) ν∘ Hom = hom ; and (2) for all A, B, C ∈ ob [special characters omitted], Hom(A ⊗ B, C) is naturally isomorphic to Hom(A, Hom(B, C)). Thus [special characters omitted] can be extended to be a closed, symmetric, monoidal category in the sense of Eilenberg and Kelly. Let [special characters omitted] denote the category of k-spaces and continuous maps, and let c: [special characters omitted] × [special characters omitted] → Sets denote the functor such that if X ∈ ob[special characters omitted] and E ∈ ob[special characters omitted], c(X,E) equals the set of continuous functions from X to E. Theorem. There exist functors C: [special characters omitted] × [special characters omitted] → [special characters omitted] and M: [special characters omitted] → [special characters omitted] such that (1) ν ∘ C = c , and (2) for all X ∈ ob[special characters omitted] and E ∈ ob[special characters omitted], C(X, E) is naturally isomorphic to Hom(M(X), E). It is known that [special characters omitted] can be extended to be a closed, symmetric, monoidal category. Let ☆: [special characters omitted] × [special characters omitted] → [special characters omitted] denote the product functor. Theorem. If X, Y ∈ ob[special characters omitted], then M(X☆Y) is naturally isomorphic to M(X) ⊗ M(Y). M can be extended to be a "strong," symmetric, monoidal functor. M will transform any algebraic structure that occurs at the level of [special characters omitted] to an analogous algebraic structure at the level of [special characters omitted]. Theorem. Let [special characters omitted] and [special characters omitted] be categories such that either (a) [special characters omitted] = k-spaces and [special characters omitted] = [special characters omitted]-coalgebras; (b) [special characters…

Subjects/Keywords: Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Brauner, Kalman George, J. (2007). A class of topologically free locally convex spaces and related group Hopf algebras. (Thesis). University of California, Berkeley. Retrieved from http://pqdtopen.proquest.com/#viewpdf?dispub=3270245

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Brauner, Kalman George, Jr. “A class of topologically free locally convex spaces and related group Hopf algebras.” 2007. Thesis, University of California, Berkeley. Accessed January 22, 2021. http://pqdtopen.proquest.com/#viewpdf?dispub=3270245.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Brauner, Kalman George, Jr. “A class of topologically free locally convex spaces and related group Hopf algebras.” 2007. Web. 22 Jan 2021.

Vancouver:

Brauner, Kalman George J. A class of topologically free locally convex spaces and related group Hopf algebras. [Internet] [Thesis]. University of California, Berkeley; 2007. [cited 2021 Jan 22]. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=3270245.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Brauner, Kalman George J. A class of topologically free locally convex spaces and related group Hopf algebras. [Thesis]. University of California, Berkeley; 2007. Available from: http://pqdtopen.proquest.com/#viewpdf?dispub=3270245

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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Open Access Theses and Dissertations