subject:( Vector spaces )

Montana State University

1. Engle, Robert Dean. Bilinear forms on vector spaces of countable dimensions in the case characteristic of k equals two.

Degree: PhD, College of Letters & Science, 1965, Montana State University

URL: https://scholarworks.montana.edu/xmlui/handle/1/4185

Subjects/Keywords: Vector spaces.

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APA (6^th Edition):

Engle, R. D. (1965). Bilinear forms on vector spaces of countable dimensions in the case characteristic of k equals two. (Doctoral Dissertation). Montana State University. Retrieved from https://scholarworks.montana.edu/xmlui/handle/1/4185

Chicago Manual of Style (16^th Edition):

Engle, Robert Dean. “Bilinear forms on vector spaces of countable dimensions in the case characteristic of k equals two.” 1965. Doctoral Dissertation, Montana State University. Accessed March 03, 2021. https://scholarworks.montana.edu/xmlui/handle/1/4185.

MLA Handbook (7^th Edition):

Engle, Robert Dean. “Bilinear forms on vector spaces of countable dimensions in the case characteristic of k equals two.” 1965. Web. 03 Mar 2021.

Vancouver:

Engle RD. Bilinear forms on vector spaces of countable dimensions in the case characteristic of k equals two. [Internet] [Doctoral dissertation]. Montana State University; 1965. [cited 2021 Mar 03]. Available from: https://scholarworks.montana.edu/xmlui/handle/1/4185.

Council of Science Editors:

Engle RD. Bilinear forms on vector spaces of countable dimensions in the case characteristic of k equals two. [Doctoral Dissertation]. Montana State University; 1965. Available from: https://scholarworks.montana.edu/xmlui/handle/1/4185

Simon Fraser University

2. Brearley, Patricia. Ramsey's theorem for spaces.

Degree: 1980, Simon Fraser University

URL: http://summit.sfu.ca/item/3928

Subjects/Keywords: Vector spaces.

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APA (6^th Edition):

Brearley, P. (1980). Ramsey's theorem for spaces. (Thesis). Simon Fraser University. Retrieved from http://summit.sfu.ca/item/3928

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):

Brearley, Patricia. “Ramsey's theorem for spaces.” 1980. Thesis, Simon Fraser University. Accessed March 03, 2021. http://summit.sfu.ca/item/3928.

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

MLA Handbook (7^th Edition):

Brearley, Patricia. “Ramsey's theorem for spaces.” 1980. Web. 03 Mar 2021.

Vancouver:

Brearley P. Ramsey's theorem for spaces. [Internet] [Thesis]. Simon Fraser University; 1980. [cited 2021 Mar 03]. Available from: http://summit.sfu.ca/item/3928.

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

Council of Science Editors:

Brearley P. Ramsey's theorem for spaces. [Thesis]. Simon Fraser University; 1980. Available from: http://summit.sfu.ca/item/3928

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

Stellenbosch University

3. Sanon, Sogo Pierre. Contributions to the theory of near-vector spaces.

Degree: MSc, Mathematical Sciences, 2017, Stellenbosch University

URL: http://hdl.handle.net/10019.1/102872

►

ENGLISH ABSTRACT : The purpose of this thesis is to give an exposition and expand the theory of near-vector spaces. Near-vector space theory is a… (more)

▼

ENGLISH ABSTRACT : The purpose of this thesis is to give an exposition and expand the theory of near-vector spaces. Near-vector space theory is a new and rich field of mathematics and has been used in several applications, including in secret sharing schemes in cryptography and to construct interesting new examples of planar near-rings. There are two type of near-vector spaces, we focus on the near-vector space defined by André in [2]. After giving several elementary definitions and properties in Chapter 2, we present the theory of nearvector spaces in Chapter 3. In [13] van der Walt showed how to construct an arbitrary finite-dimensional near-vector space, using a finite number of near-fields, all having isomorphic multiplicative semigroups. The majority of the results did not contain complete proofs and explanation. Chapter 4 is dedicated to the proofs and explanations of these results. In Chapter 5 we investigate the linear mappings of near-vector spaces. New results are presented in this section which have been accepted for publication.

AFRIKAANSE OPSOMMING : Die doel van hierdie tesis is om ’n uiteensetting en uitbreiding van die teorie van byna-vektorruimtes te gee. Die teorie van byna-vektorruimtes is ’n nuwe en ryk veld van wiskunde wat al in verskeie toepassings gebruik is, insluitend geheimdelingskemas in kriptografie en om nuwe interessante voorbeelde van planêre bynaringe te konstruktueer. Daar is twee tipes byna-vektorruimtes, ons fokus op die een gedefinieer deur André in [2]. Na ons in Hoofstuk 2 verskeie elementêre definisies en eienskappe gegee het, bied ons die teorie van byna-vektorruimtes in Hoofstuk 3 aan. In [13] het van der Walt gewys hoe om ’n arbitrêre eindig-dimensionele byna-vektorruimte te konstrueer deur gebruik te maak van ’n eindige aantal byna-liggame, met isomorfe vermenigvuldings semi-groepe. Die meerderheid van die resultate het nie volledige bewyse en verduidelikings bevat nie. Hoofstuk 4 is toegewy aan die bewyse en verduidelikings van hierdie resultate. In Hoofstuk 5 ondersoek ons die lineêre afbeeldings van byna-vektorruimtes. Nuwe resultate wat reeds vir publikasie goedgekeur is, word in hierdie afdeling aangebied.

Advisors/Committee Members: Howell, Karin-Therese, Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences..

Subjects/Keywords: Algebras, Linear; UCTD; Cryptography; Near-vector spaces; Vector spaces

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APA (6^th Edition):

Sanon, S. P. (2017). Contributions to the theory of near-vector spaces. (Masters Thesis). Stellenbosch University. Retrieved from http://hdl.handle.net/10019.1/102872

Chicago Manual of Style (16^th Edition):

Sanon, Sogo Pierre. “Contributions to the theory of near-vector spaces.” 2017. Masters Thesis, Stellenbosch University. Accessed March 03, 2021. http://hdl.handle.net/10019.1/102872.

MLA Handbook (7^th Edition):

Sanon, Sogo Pierre. “Contributions to the theory of near-vector spaces.” 2017. Web. 03 Mar 2021.

Vancouver:

Sanon SP. Contributions to the theory of near-vector spaces. [Internet] [Masters thesis]. Stellenbosch University; 2017. [cited 2021 Mar 03]. Available from: http://hdl.handle.net/10019.1/102872.

Council of Science Editors:

Sanon SP. Contributions to the theory of near-vector spaces. [Masters Thesis]. Stellenbosch University; 2017. Available from: http://hdl.handle.net/10019.1/102872

Mahatma Gandhi University

4. Punnoose, Binimol. A study of fuzzy topological vector spaces.

Degree: 2010, Mahatma Gandhi University

URL: http://shodhganga.inflibnet.ac.in/handle/10603/561

References p.107-116 Advisors/Committee Members: Kuriakose, Sunny A.

Subjects/Keywords: Topological vector spaces

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APA (6^th Edition):

Punnoose, B. (2010). A study of fuzzy topological vector spaces. (Thesis). Mahatma Gandhi University. Retrieved from http://shodhganga.inflibnet.ac.in/handle/10603/561

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):

Punnoose, Binimol. “A study of fuzzy topological vector spaces.” 2010. Thesis, Mahatma Gandhi University. Accessed March 03, 2021. http://shodhganga.inflibnet.ac.in/handle/10603/561.

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

MLA Handbook (7^th Edition):

Punnoose, Binimol. “A study of fuzzy topological vector spaces.” 2010. Web. 03 Mar 2021.

Vancouver:

Punnoose B. A study of fuzzy topological vector spaces. [Internet] [Thesis]. Mahatma Gandhi University; 2010. [cited 2021 Mar 03]. Available from: http://shodhganga.inflibnet.ac.in/handle/10603/561.

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

Council of Science Editors:

Punnoose B. A study of fuzzy topological vector spaces. [Thesis]. Mahatma Gandhi University; 2010. Available from: http://shodhganga.inflibnet.ac.in/handle/10603/561

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

University of Cambridge

5. Gerz, Daniela Susanne. Representation Learning beyond Semantic Similarity: Character-aware and Function-specific Approaches.

Degree: PhD, 2020, University of Cambridge

URL: https://www.repository.cam.ac.uk/handle/1810/304962

► Representation learning is a research area within machine learning and natural language processing (NLP) concerned with building machine-understandable representations of discrete units of text. Continuous… (more)

▼ Representation learning is a research area within machine learning and natural language processing (NLP) concerned with building machine-understandable representations of discrete units of text. Continuous representations are at the core of modern machine learning applications, and representation learning has thereby become one of the central research areas in NLP. The induction of text representations is typically based on the distributional hypothesis, and consequently encodes general information about word similarity. Words or phrases with similar meaning obtain similar representations in a vector space constructed for this purpose. This established methodology excels for morphologically-simple languages such as English, and in data-rich settings. However, several useful lexical relations such as entailment or selectional preference, are not captured or get conflated with other relations. Another challenge is dealing with low-data regimes for morphologically-complex and under-resourced languages. In this thesis we construct novel representation learning methods that go beyond the limitations of the distributional hypothesis and investigate solutions that induce vector spaces with diverse properties. In particular, we look at how the vector space induction process influences the contained information, and how the information manifests in a number of core NLP tasks: semantic similarity, lexical entailment, selectional preference, and language modeling. We contribute novel evaluations of state-of-the-art models highlighting their current capabilities and limitations. An analysis of language modeling in 50 typologically-diverse languages demonstrates that representations can indeed pose a performance bottleneck. We introduce a novel approach to leveraging subword-level information in word representations: our solution lifts this bottleneck in low-resource scenarios. Finally, we introduce a novel paradigm of function-specific representation learning that aims to integrate fine-grained semantic relations and real-world knowledge into the word vector spaces. We hope this thesis can serve as a valuable overview on word representations, and inspire future work in modeling it{semantic similarity and beyond}.

Subjects/Keywords: multilingual; representation learning; word vector spaces

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

APA (6^th Edition):

Gerz, D. S. (2020). Representation Learning beyond Semantic Similarity: Character-aware and Function-specific Approaches. (Doctoral Dissertation). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/304962

Chicago Manual of Style (16^th Edition):

Gerz, Daniela Susanne. “Representation Learning beyond Semantic Similarity: Character-aware and Function-specific Approaches.” 2020. Doctoral Dissertation, University of Cambridge. Accessed March 03, 2021. https://www.repository.cam.ac.uk/handle/1810/304962.

MLA Handbook (7^th Edition):

Gerz, Daniela Susanne. “Representation Learning beyond Semantic Similarity: Character-aware and Function-specific Approaches.” 2020. Web. 03 Mar 2021.

Vancouver:

Gerz DS. Representation Learning beyond Semantic Similarity: Character-aware and Function-specific Approaches. [Internet] [Doctoral dissertation]. University of Cambridge; 2020. [cited 2021 Mar 03]. Available from: https://www.repository.cam.ac.uk/handle/1810/304962.

Council of Science Editors:

Gerz DS. Representation Learning beyond Semantic Similarity: Character-aware and Function-specific Approaches. [Doctoral Dissertation]. University of Cambridge; 2020. Available from: https://www.repository.cam.ac.uk/handle/1810/304962

Michigan State University

6. Villanueva, Antonio Santiago. Erdös's conjecture on the distribution of the sums ... of n vectors in d-dimensional space.

Degree: PhD, Department of Mathematics, 1970, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:21781

Subjects/Keywords: Functions; Vector spaces

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

APA (6^th Edition):

Villanueva, A. S. (1970). Erdös's conjecture on the distribution of the sums ... of n vectors in d-dimensional space. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:21781

Chicago Manual of Style (16^th Edition):

Villanueva, Antonio Santiago. “Erdös's conjecture on the distribution of the sums ... of n vectors in d-dimensional space.” 1970. Doctoral Dissertation, Michigan State University. Accessed March 03, 2021. http://etd.lib.msu.edu/islandora/object/etd:21781.

MLA Handbook (7^th Edition):

Villanueva, Antonio Santiago. “Erdös's conjecture on the distribution of the sums ... of n vectors in d-dimensional space.” 1970. Web. 03 Mar 2021.

Vancouver:

Villanueva AS. Erdös's conjecture on the distribution of the sums ... of n vectors in d-dimensional space. [Internet] [Doctoral dissertation]. Michigan State University; 1970. [cited 2021 Mar 03]. Available from: http://etd.lib.msu.edu/islandora/object/etd:21781.

Council of Science Editors:

Villanueva AS. Erdös's conjecture on the distribution of the sums ... of n vectors in d-dimensional space. [Doctoral Dissertation]. Michigan State University; 1970. Available from: http://etd.lib.msu.edu/islandora/object/etd:21781

Universitat de Valencia

7. Zaragoza Berzosa, Carme M. Vector-valued sequences and multipliers .

Degree: 2015, Universitat de Valencia

URL: http://hdl.handle.net/10550/47923

► El texto que se presenta trata de establecer un marco teórico en el que poder manejar dos nuevos conceptos (extensión de conceptos ya conocidos): los… (more)

▼ El texto que se presenta trata de establecer un marco teórico en el que poder manejar dos nuevos conceptos (extensión de conceptos ya conocidos): los multiplicadores por coeficientes a través de una aplicación bilineal y el producto proyectivo tensorial de Hadamard. Ambos espacios se ven siempre como espacios de sucesiones a valores vectoriales, esto es, en un espacio de Banach cualquiera. Posteriormente, se estudia la relación entre ellos y se aportan algunos ejemplos. El punto de partida del proyecto son las clases de espacios introducidas por O.Blasco y M. Pavlovic en el trabajo "Coefficient multipliers on spaces of analytic functions" (Revista Mat. Iberoamericana, 2011) donde se formaliza el problema de multiplicadores y se relaciona con ciertos productos tensoriales clásicos, definiendo las mínimas propiedades en espacios de Banach de funciones analíticas para poder desarrollar la teoría de multiplicadores, teniendo como objetivo dar la versión vectorial de los mismos. Con este objetivo en mente, se ha decidido la división del trabajo en cuatro capítulos diferenciados. Los tres primeros fijan el contexto haciendo hincapié en ciertos aspectos que pueden dar al lector una idea más profunda del uso y de las aplicaciones de esta teoría. El último capítulo es el colofón que une los tres anteriores, confiriéndole un sentido único al texto. De manera mas especifica, en el primer capitulo se dan los preliminares necesarios para poder abordar el problema que nos ocupa. Se presentan las herramientas precisas para comprender el escrito y sus ejemplos: los espacios de sucesiones con valores vectoriales, S(E), y los espacios de funciones analíticas en el disco, también con valores vectoriales, H(D, E). En el segundo capitulo se determinan las condiciones mínimas que se van a exigir a los espacios de trabajo, llamados espacios S(E)-admisibles siguiendo la notación del artículo antes mencionado. Se da el caso concreto de los multiplicadores con valores en el espacio de operadores, germen del espacio de multiplicadores mediante una aplicación bilineal, B. Para poner de manifiesto la importancia de estos espacios, por un lado se da la relación de los mismos con los espacios sólidos y, por otro, se desarrolla el ejemplo de los espacios de norma mixta generalizados. El tercero es un breve capitulo donde se dan condiciones específicas para el caso en el que los espacios de sucesiones sean una forma de representación de espacios de funciones analíticas (a través de sus coeficientes de Taylor). De nuevo, siguiendo la notación introducida por O. Blasco y M.Pavlovic, estos espacios serán notados como H(D, E)-admisibles. Ademas se aportan nuevos resultados que serán aplicados a espacios de funciones con valores vectoriales. Por último, en el cuarto capítulo se detallan las dos construcciones arriba mencionadas: los multiplicadores a través de una aplicación bilineal y el producto tensorial proyectivo de Hadamard. Se ve la relación… Advisors/Committee Members: Blasco de la Cruz, Óscar (advisor).

Subjects/Keywords: multiplier spaces; Vector-valued sequences; Hadamard product

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

APA (6^th Edition):

Zaragoza Berzosa, C. M. (2015). Vector-valued sequences and multipliers . (Doctoral Dissertation). Universitat de Valencia. Retrieved from http://hdl.handle.net/10550/47923

Chicago Manual of Style (16^th Edition):

Zaragoza Berzosa, Carme M. “Vector-valued sequences and multipliers .” 2015. Doctoral Dissertation, Universitat de Valencia. Accessed March 03, 2021. http://hdl.handle.net/10550/47923.

MLA Handbook (7^th Edition):

Zaragoza Berzosa, Carme M. “Vector-valued sequences and multipliers .” 2015. Web. 03 Mar 2021.

Vancouver:

Zaragoza Berzosa CM. Vector-valued sequences and multipliers . [Internet] [Doctoral dissertation]. Universitat de Valencia; 2015. [cited 2021 Mar 03]. Available from: http://hdl.handle.net/10550/47923.

Council of Science Editors:

Zaragoza Berzosa CM. Vector-valued sequences and multipliers . [Doctoral Dissertation]. Universitat de Valencia; 2015. Available from: http://hdl.handle.net/10550/47923

University of Cambridge

8. Gerz, Daniela Susanne. Representation learning beyond semantic similarity : character-aware and function-specific approaches.

Degree: PhD, 2020, University of Cambridge

URL: https://doi.org/10.17863/CAM.52043 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.805876

► Representation learning is a research area within machine learning and natural language processing (NLP) concerned with building machine-understandable representations of discrete units of text. Continuous… (more)

▼ Representation learning is a research area within machine learning and natural language processing (NLP) concerned with building machine-understandable representations of discrete units of text. Continuous representations are at the core of modern machine learning applications, and representation learning has thereby become one of the central research areas in NLP. The induction of text representations is typically based on the distributional hypothesis, and consequently encodes general information about word similarity. Words or phrases with similar meaning obtain similar representations in a vector space constructed for this purpose. This established methodology excels for morphologically-simple languages such as English, and in data-rich settings. However, several useful lexical relations such as entailment or selectional preference, are not captured or get conflated with other relations. Another challenge is dealing with low-data regimes for morphologically-complex and under-resourced languages. In this thesis we construct novel representation learning methods that go beyond the limitations of the distributional hypothesis and investigate solutions that induce vector spaces with diverse properties. In particular, we look at how the vector space induction process influences the contained information, and how the information manifests in a number of core NLP tasks: semantic similarity, lexical entailment, selectional preference, and language modeling. We contribute novel evaluations of state-of-the-art models highlighting their current capabilities and limitations. An analysis of language modeling in 50 typologically-diverse languages demonstrates that representations can indeed pose a performance bottleneck. We introduce a novel approach to leveraging subword-level information in word representations: our solution lifts this bottleneck in low-resource scenarios. Finally, we introduce a novel paradigm of function-specific representation learning that aims to integrate fine-grained semantic relations and real-world knowledge into the word vector spaces. We hope this thesis can serve as a valuable overview on word representations, and inspire future work in modeling 'semantic similarity and beyond'.

Subjects/Keywords: multilingual; representation learning; word vector spaces

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Gerz, D. S. (2020). Representation learning beyond semantic similarity : character-aware and function-specific approaches. (Doctoral Dissertation). University of Cambridge. Retrieved from https://doi.org/10.17863/CAM.52043 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.805876

Chicago Manual of Style (16^th Edition):

Gerz, Daniela Susanne. “Representation learning beyond semantic similarity : character-aware and function-specific approaches.” 2020. Doctoral Dissertation, University of Cambridge. Accessed March 03, 2021. https://doi.org/10.17863/CAM.52043 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.805876.

MLA Handbook (7^th Edition):

Gerz, Daniela Susanne. “Representation learning beyond semantic similarity : character-aware and function-specific approaches.” 2020. Web. 03 Mar 2021.

Vancouver:

Gerz DS. Representation learning beyond semantic similarity : character-aware and function-specific approaches. [Internet] [Doctoral dissertation]. University of Cambridge; 2020. [cited 2021 Mar 03]. Available from: https://doi.org/10.17863/CAM.52043 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.805876.

Council of Science Editors:

Gerz DS. Representation learning beyond semantic similarity : character-aware and function-specific approaches. [Doctoral Dissertation]. University of Cambridge; 2020. Available from: https://doi.org/10.17863/CAM.52043 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.805876

University of North Texas

9. Nugen, Frederick T. A Presentation of Current Research on Partitions of Lines and Space.

Degree: 1999, University of North Texas

URL: https://digital.library.unt.edu/ark:/67531/metadc2243/

We present the results from three papers concerning partitions of vector spaces V over the set R of reals and of the set of lines in V. Advisors/Committee Members: Jackson, Stephen C., Kung, Joseph, Anghel, Nicolae.

Subjects/Keywords: Vector spaces.; Set theory.; vector spaces

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APA (6^th Edition):

Nugen, F. T. (1999). A Presentation of Current Research on Partitions of Lines and Space. (Thesis). University of North Texas. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc2243/

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):

Nugen, Frederick T. “A Presentation of Current Research on Partitions of Lines and Space.” 1999. Thesis, University of North Texas. Accessed March 03, 2021. https://digital.library.unt.edu/ark:/67531/metadc2243/.

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

MLA Handbook (7^th Edition):

Nugen, Frederick T. “A Presentation of Current Research on Partitions of Lines and Space.” 1999. Web. 03 Mar 2021.

Vancouver:

Nugen FT. A Presentation of Current Research on Partitions of Lines and Space. [Internet] [Thesis]. University of North Texas; 1999. [cited 2021 Mar 03]. Available from: https://digital.library.unt.edu/ark:/67531/metadc2243/.

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

Council of Science Editors:

Nugen FT. A Presentation of Current Research on Partitions of Lines and Space. [Thesis]. University of North Texas; 1999. Available from: https://digital.library.unt.edu/ark:/67531/metadc2243/

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

Stellenbosch University

10. Wessels, Lesley Karin. On contributions to the theory of near-vector spaces and graphs thereof.

Degree: PhD, Mathematical Sciences, 2020, Stellenbosch University

URL: http://hdl.handle.net/10019.1/109139

►

ENGLISH ABSTRACT: In this thesis, our aim is to add to the existing body of work on near-vector spaces and their representation using graphs. We… (more)

Subjects/Keywords: Finite fields (Algebra); Near-vector spaces; Graph theory; Vector spaces – Graphic methods; UCTD

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APA (6^th Edition):

Wessels, L. K. (2020). On contributions to the theory of near-vector spaces and graphs thereof. (Doctoral Dissertation). Stellenbosch University. Retrieved from http://hdl.handle.net/10019.1/109139

Chicago Manual of Style (16^th Edition):

Wessels, Lesley Karin. “On contributions to the theory of near-vector spaces and graphs thereof.” 2020. Doctoral Dissertation, Stellenbosch University. Accessed March 03, 2021. http://hdl.handle.net/10019.1/109139.

MLA Handbook (7^th Edition):

Wessels, Lesley Karin. “On contributions to the theory of near-vector spaces and graphs thereof.” 2020. Web. 03 Mar 2021.

Vancouver:

Wessels LK. On contributions to the theory of near-vector spaces and graphs thereof. [Internet] [Doctoral dissertation]. Stellenbosch University; 2020. [cited 2021 Mar 03]. Available from: http://hdl.handle.net/10019.1/109139.

Council of Science Editors:

Wessels LK. On contributions to the theory of near-vector spaces and graphs thereof. [Doctoral Dissertation]. Stellenbosch University; 2020. Available from: http://hdl.handle.net/10019.1/109139

Rhodes University

11. Pinchuck, Andrew. Extension theorems on L-topological spaces and L-fuzzy vector spaces.

Degree: Faculty of Science, Mathematics, 2002, Rhodes University

URL: http://hdl.handle.net/10962/d1005219

► A non-trivial example of an L-topological space, the fuzzy real line is examined. Various L-topological properties and their relationships are developed. Extension theorems on the… (more)

Subjects/Keywords: Topology; Vector spaces; Generalized spaces

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APA (6^th Edition):

Pinchuck, A. (2002). Extension theorems on L-topological spaces and L-fuzzy vector spaces. (Thesis). Rhodes University. Retrieved from http://hdl.handle.net/10962/d1005219

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):

Pinchuck, Andrew. “Extension theorems on L-topological spaces and L-fuzzy vector spaces.” 2002. Thesis, Rhodes University. Accessed March 03, 2021. http://hdl.handle.net/10962/d1005219.

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

MLA Handbook (7^th Edition):

Pinchuck, Andrew. “Extension theorems on L-topological spaces and L-fuzzy vector spaces.” 2002. Web. 03 Mar 2021.

Vancouver:

Pinchuck A. Extension theorems on L-topological spaces and L-fuzzy vector spaces. [Internet] [Thesis]. Rhodes University; 2002. [cited 2021 Mar 03]. Available from: http://hdl.handle.net/10962/d1005219.

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

Council of Science Editors:

Pinchuck A. Extension theorems on L-topological spaces and L-fuzzy vector spaces. [Thesis]. Rhodes University; 2002. Available from: http://hdl.handle.net/10962/d1005219

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

University of Edinburgh

12. Devlin, Barry-Patrick. Codensity, compactness and ultrafilters.

Degree: PhD, 2016, University of Edinburgh

URL: http://hdl.handle.net/1842/19476

► Codensity monads are ubiquitous, as are various different notions of compactness and finiteness. Two such examples of "compact" spaces are compact Hausdorff Spaces and Linearly… (more)

Subjects/Keywords: 512; category theory; finiteness; compactness; Hausdorff Spaces; Linearly Compact Vector Spaces

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APA (6^th Edition):

Devlin, B. (2016). Codensity, compactness and ultrafilters. (Doctoral Dissertation). University of Edinburgh. Retrieved from http://hdl.handle.net/1842/19476

Chicago Manual of Style (16^th Edition):

Devlin, Barry-Patrick. “Codensity, compactness and ultrafilters.” 2016. Doctoral Dissertation, University of Edinburgh. Accessed March 03, 2021. http://hdl.handle.net/1842/19476.

MLA Handbook (7^th Edition):

Devlin, Barry-Patrick. “Codensity, compactness and ultrafilters.” 2016. Web. 03 Mar 2021.

Vancouver:

Devlin B. Codensity, compactness and ultrafilters. [Internet] [Doctoral dissertation]. University of Edinburgh; 2016. [cited 2021 Mar 03]. Available from: http://hdl.handle.net/1842/19476.

Council of Science Editors:

Devlin B. Codensity, compactness and ultrafilters. [Doctoral Dissertation]. University of Edinburgh; 2016. Available from: http://hdl.handle.net/1842/19476

University of British Columbia

13. Iwata, George Fumimaro. Characterization of rank two subspaces of a tensor product space.

Degree: MA- MA, Mathematics, 1966, University of British Columbia

URL: http://hdl.handle.net/2429/36947

► Let U, V be two vector spaces of dimensions n and m, respectively, over an algebraically closed field F; let U⊗V be their tensor product;… (more)

Subjects/Keywords: Vector spaces; Generalized spaces

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APA (6^th Edition):

Iwata, G. F. (1966). Characterization of rank two subspaces of a tensor product space. (Masters Thesis). University of British Columbia. Retrieved from http://hdl.handle.net/2429/36947

Chicago Manual of Style (16^th Edition):

Iwata, George Fumimaro. “Characterization of rank two subspaces of a tensor product space.” 1966. Masters Thesis, University of British Columbia. Accessed March 03, 2021. http://hdl.handle.net/2429/36947.

MLA Handbook (7^th Edition):

Iwata, George Fumimaro. “Characterization of rank two subspaces of a tensor product space.” 1966. Web. 03 Mar 2021.

Vancouver:

Iwata GF. Characterization of rank two subspaces of a tensor product space. [Internet] [Masters thesis]. University of British Columbia; 1966. [cited 2021 Mar 03]. Available from: http://hdl.handle.net/2429/36947.

Council of Science Editors:

Iwata GF. Characterization of rank two subspaces of a tensor product space. [Masters Thesis]. University of British Columbia; 1966. Available from: http://hdl.handle.net/2429/36947

Michigan State University

14. Denlinger, Charles G. Köthe families in vector lattices.

Degree: PhD, Department of Mathematics, 1971, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:17781

Subjects/Keywords: Riesz spaces; Vector spaces

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

APA (6^th Edition):

Denlinger, C. G. (1971). Köthe families in vector lattices. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:17781

Chicago Manual of Style (16^th Edition):

Denlinger, Charles G. “Köthe families in vector lattices.” 1971. Doctoral Dissertation, Michigan State University. Accessed March 03, 2021. http://etd.lib.msu.edu/islandora/object/etd:17781.

MLA Handbook (7^th Edition):

Denlinger, Charles G. “Köthe families in vector lattices.” 1971. Web. 03 Mar 2021.

Vancouver:

Denlinger CG. Köthe families in vector lattices. [Internet] [Doctoral dissertation]. Michigan State University; 1971. [cited 2021 Mar 03]. Available from: http://etd.lib.msu.edu/islandora/object/etd:17781.

Council of Science Editors:

Denlinger CG. Köthe families in vector lattices. [Doctoral Dissertation]. Michigan State University; 1971. Available from: http://etd.lib.msu.edu/islandora/object/etd:17781

The Ohio State University

15. Dennis, John LeCocq. Invariant linear functions on vector lattices.

Degree: PhD, Graduate School, 1975, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1486992459688181

Subjects/Keywords: Mathematics; Riesz spaces; Vector spaces

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APA (6^th Edition):

Dennis, J. L. (1975). Invariant linear functions on vector lattices. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1486992459688181

Chicago Manual of Style (16^th Edition):

Dennis, John LeCocq. “Invariant linear functions on vector lattices.” 1975. Doctoral Dissertation, The Ohio State University. Accessed March 03, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=osu1486992459688181.

MLA Handbook (7^th Edition):

Dennis, John LeCocq. “Invariant linear functions on vector lattices.” 1975. Web. 03 Mar 2021.

Vancouver:

Dennis JL. Invariant linear functions on vector lattices. [Internet] [Doctoral dissertation]. The Ohio State University; 1975. [cited 2021 Mar 03]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1486992459688181.

Council of Science Editors:

Dennis JL. Invariant linear functions on vector lattices. [Doctoral Dissertation]. The Ohio State University; 1975. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1486992459688181

16. Power, Billy Joe. Finite Dimensional Vector Space.

Degree: 1960, North Texas State College

URL: https://digital.library.unt.edu/ark:/67531/metadc108107/

► The object of this thesis is to examine properties of an abstract vector space of finite dimension n. The properties of the set of complex… (more)

Subjects/Keywords: finite; vector; Vector spaces.

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APA (6^th Edition):

Power, B. J. (1960). Finite Dimensional Vector Space. (Thesis). North Texas State College. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc108107/

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):

Power, Billy Joe. “Finite Dimensional Vector Space.” 1960. Thesis, North Texas State College. Accessed March 03, 2021. https://digital.library.unt.edu/ark:/67531/metadc108107/.

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

MLA Handbook (7^th Edition):

Power, Billy Joe. “Finite Dimensional Vector Space.” 1960. Web. 03 Mar 2021.

Vancouver:

Power BJ. Finite Dimensional Vector Space. [Internet] [Thesis]. North Texas State College; 1960. [cited 2021 Mar 03]. Available from: https://digital.library.unt.edu/ark:/67531/metadc108107/.

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

Council of Science Editors:

Power BJ. Finite Dimensional Vector Space. [Thesis]. North Texas State College; 1960. Available from: https://digital.library.unt.edu/ark:/67531/metadc108107/

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

University of Arizona

17. Griesan, Raymond William. Nabla spaces, the theory of the locally convex topologies (2-norms, etc.) which arise from the mensuration of triangles.

Degree: 1988, University of Arizona

URL: http://hdl.handle.net/10150/184510

► Metric topologies can be viewed as one-dimensional measures. This dissertation is a topological study of two-dimensional measures. Attention is focused on locally convex vector topologies… (more)

Subjects/Keywords: Locally convex spaces.; Topological spaces.; Vector spaces.

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APA (6^th Edition):

Griesan, R. W. (1988). Nabla spaces, the theory of the locally convex topologies (2-norms, etc.) which arise from the mensuration of triangles. (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/184510

Chicago Manual of Style (16^th Edition):

Griesan, Raymond William. “Nabla spaces, the theory of the locally convex topologies (2-norms, etc.) which arise from the mensuration of triangles. ” 1988. Doctoral Dissertation, University of Arizona. Accessed March 03, 2021. http://hdl.handle.net/10150/184510.

MLA Handbook (7^th Edition):

Griesan, Raymond William. “Nabla spaces, the theory of the locally convex topologies (2-norms, etc.) which arise from the mensuration of triangles. ” 1988. Web. 03 Mar 2021.

Vancouver:

Griesan RW. Nabla spaces, the theory of the locally convex topologies (2-norms, etc.) which arise from the mensuration of triangles. [Internet] [Doctoral dissertation]. University of Arizona; 1988. [cited 2021 Mar 03]. Available from: http://hdl.handle.net/10150/184510.

Council of Science Editors:

Griesan RW. Nabla spaces, the theory of the locally convex topologies (2-norms, etc.) which arise from the mensuration of triangles. [Doctoral Dissertation]. University of Arizona; 1988. Available from: http://hdl.handle.net/10150/184510

University of Tasmania

18. Lowig, HFJ. 1. On the importance of the relation [(A,B.), (A.C.)] (A, [B,C,) (C.A.), (A,B)] between three elements of a structure ; 2. Komplexe euklidische Raume von beliebiger endliche oder transfiniter Dimensionszahl ; 3. Intrinsic topology and completion of Boolean rings ; 4. Uber die Dimension linearer Raume.

Degree: 1951, University of Tasmania

URL: https://eprints.utas.edu.au/20237/1/whole_LowigHenryFrancisJoseph1951_thesis.pdf

► While the Dedekind axiom is identical with its dual counterpart the corresponding assertion about the equation (2) is not true. THEOREM 11. In our structure… (more)

Subjects/Keywords: Vector spaces; Boolean rings; Topology

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APA (6^th Edition):

Lowig, H. (1951). 1. On the importance of the relation [(A,B.), (A.C.)] (A, [B,C,) (C.A.), (A,B)] between three elements of a structure ; 2. Komplexe euklidische Raume von beliebiger endliche oder transfiniter Dimensionszahl ; 3. Intrinsic topology and completion of Boolean rings ; 4. Uber die Dimension linearer Raume. (Thesis). University of Tasmania. Retrieved from https://eprints.utas.edu.au/20237/1/whole_LowigHenryFrancisJoseph1951_thesis.pdf

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):

Lowig, HFJ. “1. On the importance of the relation [(A,B.), (A.C.)] (A, [B,C,) (C.A.), (A,B)] between three elements of a structure ; 2. Komplexe euklidische Raume von beliebiger endliche oder transfiniter Dimensionszahl ; 3. Intrinsic topology and completion of Boolean rings ; 4. Uber die Dimension linearer Raume.” 1951. Thesis, University of Tasmania. Accessed March 03, 2021. https://eprints.utas.edu.au/20237/1/whole_LowigHenryFrancisJoseph1951_thesis.pdf.

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

MLA Handbook (7^th Edition):

Lowig, HFJ. “1. On the importance of the relation [(A,B.), (A.C.)] (A, [B,C,) (C.A.), (A,B)] between three elements of a structure ; 2. Komplexe euklidische Raume von beliebiger endliche oder transfiniter Dimensionszahl ; 3. Intrinsic topology and completion of Boolean rings ; 4. Uber die Dimension linearer Raume.” 1951. Web. 03 Mar 2021.

Vancouver:

Lowig H. 1. On the importance of the relation [(A,B.), (A.C.)] (A, [B,C,) (C.A.), (A,B)] between three elements of a structure ; 2. Komplexe euklidische Raume von beliebiger endliche oder transfiniter Dimensionszahl ; 3. Intrinsic topology and completion of Boolean rings ; 4. Uber die Dimension linearer Raume. [Internet] [Thesis]. University of Tasmania; 1951. [cited 2021 Mar 03]. Available from: https://eprints.utas.edu.au/20237/1/whole_LowigHenryFrancisJoseph1951_thesis.pdf.

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

Council of Science Editors:

Lowig H. 1. On the importance of the relation [(A,B.), (A.C.)] (A, [B,C,) (C.A.), (A,B)] between three elements of a structure ; 2. Komplexe euklidische Raume von beliebiger endliche oder transfiniter Dimensionszahl ; 3. Intrinsic topology and completion of Boolean rings ; 4. Uber die Dimension linearer Raume. [Thesis]. University of Tasmania; 1951. Available from: https://eprints.utas.edu.au/20237/1/whole_LowigHenryFrancisJoseph1951_thesis.pdf

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

19. Antonio Wilson Rodrigues da Cunha. The stability theorem of Lichnerowicz for holomorphic applications in Kahler manifolds.

Degree: Master, 2010, Universidade Federal do Ceará

URL: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=8672 ;

►

Our goal in this work is to present a theorem due to A. Lichnerowicz, which guarantees stability from applications holomorphic or antiholomorphic with compact domain… (more)

Subjects/Keywords: GEOMETRIA DIFERENCIAL; aplicaÃÃes holomorfas; espaÃos vetoriais; vector spaces

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APA (6^th Edition):

Cunha, A. W. R. d. (2010). The stability theorem of Lichnerowicz for holomorphic applications in Kahler manifolds. (Masters Thesis). Universidade Federal do Ceará. Retrieved from http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=8672 ;

Chicago Manual of Style (16^th Edition):

Cunha, Antonio Wilson Rodrigues da. “The stability theorem of Lichnerowicz for holomorphic applications in Kahler manifolds.” 2010. Masters Thesis, Universidade Federal do Ceará. Accessed March 03, 2021. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=8672 ;.

MLA Handbook (7^th Edition):

Cunha, Antonio Wilson Rodrigues da. “The stability theorem of Lichnerowicz for holomorphic applications in Kahler manifolds.” 2010. Web. 03 Mar 2021.

Vancouver:

Cunha AWRd. The stability theorem of Lichnerowicz for holomorphic applications in Kahler manifolds. [Internet] [Masters thesis]. Universidade Federal do Ceará 2010. [cited 2021 Mar 03]. Available from: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=8672 ;.

Council of Science Editors:

Cunha AWRd. The stability theorem of Lichnerowicz for holomorphic applications in Kahler manifolds. [Masters Thesis]. Universidade Federal do Ceará 2010. Available from: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=8672 ;

Stellenbosch University

20. De Bruyn, Aletta. Near vector spaces.

Degree: M. Sc., 1990, Stellenbosch University

URL: http://hdl.handle.net/10019.1/67319

►

ENGLISH ABSTRACT: The preliminary material in Chapter 1 is included in order that this work be reasonably self-contained. The main aim of this thesis is… (more)

Subjects/Keywords: Vector spaces; Dissertations – Mathematics

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APA (6^th Edition):

De Bruyn, A. (1990). Near vector spaces. (Masters Thesis). Stellenbosch University. Retrieved from http://hdl.handle.net/10019.1/67319

Chicago Manual of Style (16^th Edition):

De Bruyn, Aletta. “Near vector spaces.” 1990. Masters Thesis, Stellenbosch University. Accessed March 03, 2021. http://hdl.handle.net/10019.1/67319.

MLA Handbook (7^th Edition):

De Bruyn, Aletta. “Near vector spaces.” 1990. Web. 03 Mar 2021.

Vancouver:

De Bruyn A. Near vector spaces. [Internet] [Masters thesis]. Stellenbosch University; 1990. [cited 2021 Mar 03]. Available from: http://hdl.handle.net/10019.1/67319.

Council of Science Editors:

De Bruyn A. Near vector spaces. [Masters Thesis]. Stellenbosch University; 1990. Available from: http://hdl.handle.net/10019.1/67319

Stellenbosch University

21. Djagba, Prudence. Contributions to the theory of Beidleman near-vector spaces.

Degree: PhD, Mathematical Sciences, 2019, Stellenbosch University

URL: http://hdl.handle.net/10019.1/107165

►

ENGLISH SUMMARY: (Please refer to the abstract on the full text for symbols that did not translate well into this abstract). The study of nearfields… (more)

▼

ENGLISH SUMMARY: (Please refer to the abstract on the full text for symbols that did not translate well into this abstract). The study of nearfields was started in 1905 by L.E. Dickson. This thesis is a first step toward a detailed study of J.C. Beidleman near-vector spaces, as first introduced by Beidleman in 1966. Recalling well-known results, we conduct a detailed study of finite nearfields by showing how to construct a finite Dickson nearfield and presenting the center of a finite Dickson nearfield that arises from the Dickson pair (q, n). Furthermore, as main results of this thesis, we present the following. We characterise the finite dimensional Beidleman near-vector spaces. We develop an algorithm called EGE (Expanded Gaussian Elimination) which determines the smallest R-subgroup containing a given finite set of vectors v1, . . . , vk 2 Rm where R is a proper nearfield and k,m are positive integers, defined as gen(v1, . . . , vk). We also classify all the subspaces of Rm by designing an algorithm called the Adjustment of the EGE algorithm. We study the concept of seed number of an R-subgroup T (i.e., the minimal cardinality of all the possible finite sets of vectors that generate T) and R-dimension of gen(v1, . . . , vk) (i.e., the number of vectors obtained after the implementation of the EGE algorithm on the finite set of vectors v1, . . . , vk). We evaluate the seed number of Rm for some positive integer m satisfying m jRj +1. Furthermore from the EGE algorithm we also study, for a given pair (a, b) in R2, the generalized distributive set defined as D(a, b) = l 2 R : (a + b) l = a l + b l , where ” ” is the multiplication of the nearfield. We find that in contrast to the situation of D(R) = fl 2 R : (a+ b) l = a l+ b l for all a, b 2 Rg from the work of Zemmer in 1964, the generalized distributive set D(a, b) is not always a subnearfield of R where R is a finite Dickson nearfield arising from the Dickson pair (q, n). We find a sufficient condition on a and b such that D(a, b) is a subfield of the finite field of order qn and develop an algorithm that tests whether D(a, b) is a subfield of Fqn or not. We then investigate D(a, b) where a, b and a + b are all in distinct g qi􀀀1 q􀀀1 H (where g is a generator of F q n and H is the subgroup generated by gn) and we obtain a construction of a subfield of Fqn by making use of D(a, b).

Doctoral

Advisors/Committee Members: Howell, Karin-Therese, Boxall, Gareth, Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences..

Subjects/Keywords: Vector spaces; Nearfields; Beidleman, J. C.; Finite fields (Algebra); UCTD

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

APA (6^th Edition):

Djagba, P. (2019). Contributions to the theory of Beidleman near-vector spaces. (Doctoral Dissertation). Stellenbosch University. Retrieved from http://hdl.handle.net/10019.1/107165

Chicago Manual of Style (16^th Edition):

Djagba, Prudence. “Contributions to the theory of Beidleman near-vector spaces.” 2019. Doctoral Dissertation, Stellenbosch University. Accessed March 03, 2021. http://hdl.handle.net/10019.1/107165.

MLA Handbook (7^th Edition):

Djagba, Prudence. “Contributions to the theory of Beidleman near-vector spaces.” 2019. Web. 03 Mar 2021.

Vancouver:

Djagba P. Contributions to the theory of Beidleman near-vector spaces. [Internet] [Doctoral dissertation]. Stellenbosch University; 2019. [cited 2021 Mar 03]. Available from: http://hdl.handle.net/10019.1/107165.

Council of Science Editors:

Djagba P. Contributions to the theory of Beidleman near-vector spaces. [Doctoral Dissertation]. Stellenbosch University; 2019. Available from: http://hdl.handle.net/10019.1/107165

University of Illinois – Chicago

22. Abdelkerim, Richard. Geometry of the Dual Grassmannian.

Degree: 2011, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/8051

► Linear sections of Grassmannians provide important examples of varieties. The geometry of these linear sections is closely tied to the spaces of Schubert varieties contained… (more)

Subjects/Keywords: Exterior Powers of Vector Spaces; Grassmannians; Hyperplane Sections; Schubert Varieties

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APA (6^th Edition):

Abdelkerim, R. (2011). Geometry of the Dual Grassmannian. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/8051

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):

Abdelkerim, Richard. “Geometry of the Dual Grassmannian.” 2011. Thesis, University of Illinois – Chicago. Accessed March 03, 2021. http://hdl.handle.net/10027/8051.

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

MLA Handbook (7^th Edition):

Abdelkerim, Richard. “Geometry of the Dual Grassmannian.” 2011. Web. 03 Mar 2021.

Vancouver:

Abdelkerim R. Geometry of the Dual Grassmannian. [Internet] [Thesis]. University of Illinois – Chicago; 2011. [cited 2021 Mar 03]. Available from: http://hdl.handle.net/10027/8051.

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

Council of Science Editors:

Abdelkerim R. Geometry of the Dual Grassmannian. [Thesis]. University of Illinois – Chicago; 2011. Available from: http://hdl.handle.net/10027/8051

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

Michigan State University

23. Dempsey, Kathy J. Q-Analogs and vector spaces.

Degree: PhD, Department of Mathematics, 1992, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:22431

Subjects/Keywords: q-series; Vector spaces

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

APA (6^th Edition):

Dempsey, K. J. (1992). Q-Analogs and vector spaces. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:22431

Chicago Manual of Style (16^th Edition):

Dempsey, Kathy J. “Q-Analogs and vector spaces.” 1992. Doctoral Dissertation, Michigan State University. Accessed March 03, 2021. http://etd.lib.msu.edu/islandora/object/etd:22431.

MLA Handbook (7^th Edition):

Dempsey, Kathy J. “Q-Analogs and vector spaces.” 1992. Web. 03 Mar 2021.

Vancouver:

Dempsey KJ. Q-Analogs and vector spaces. [Internet] [Doctoral dissertation]. Michigan State University; 1992. [cited 2021 Mar 03]. Available from: http://etd.lib.msu.edu/islandora/object/etd:22431.

Council of Science Editors:

Dempsey KJ. Q-Analogs and vector spaces. [Doctoral Dissertation]. Michigan State University; 1992. Available from: http://etd.lib.msu.edu/islandora/object/etd:22431

24. Roberts, Stephan Christopher. Orthosymmetric Maps And Polynomial Valuations.

Degree: PhD, Mathematics, 2017, University of Mississippi

URL: https://egrove.olemiss.edu/etd/680

► We present a characterization of orthogonally additive polynomials on vector lattices as orthosymmetric multilinear maps. Our proof avoids partitionaly orthosymmetric maps and results that represent… (more)

Subjects/Keywords: Functional Analysis; Orthogonally Additive; Orthosymmetric; Riesz Spaces; Vector Lattices; Mathematics

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APA (6^th Edition):

Roberts, S. C. (2017). Orthosymmetric Maps And Polynomial Valuations. (Doctoral Dissertation). University of Mississippi. Retrieved from https://egrove.olemiss.edu/etd/680

Chicago Manual of Style (16^th Edition):

Roberts, Stephan Christopher. “Orthosymmetric Maps And Polynomial Valuations.” 2017. Doctoral Dissertation, University of Mississippi. Accessed March 03, 2021. https://egrove.olemiss.edu/etd/680.

MLA Handbook (7^th Edition):

Roberts, Stephan Christopher. “Orthosymmetric Maps And Polynomial Valuations.” 2017. Web. 03 Mar 2021.

Vancouver:

Roberts SC. Orthosymmetric Maps And Polynomial Valuations. [Internet] [Doctoral dissertation]. University of Mississippi; 2017. [cited 2021 Mar 03]. Available from: https://egrove.olemiss.edu/etd/680.

Council of Science Editors:

Roberts SC. Orthosymmetric Maps And Polynomial Valuations. [Doctoral Dissertation]. University of Mississippi; 2017. Available from: https://egrove.olemiss.edu/etd/680

Montana State University

25. Mattics, Leon Eugene. Vector spaces of countable dimension over algebraic number fields.

Degree: PhD, College of Letters & Science, 1967, Montana State University

URL: https://scholarworks.montana.edu/xmlui/handle/1/4447

Subjects/Keywords: Vector spaces.; Algebraic fields.

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

APA (6^th Edition):

Mattics, L. E. (1967). Vector spaces of countable dimension over algebraic number fields. (Doctoral Dissertation). Montana State University. Retrieved from https://scholarworks.montana.edu/xmlui/handle/1/4447

Chicago Manual of Style (16^th Edition):

Mattics, Leon Eugene. “Vector spaces of countable dimension over algebraic number fields.” 1967. Doctoral Dissertation, Montana State University. Accessed March 03, 2021. https://scholarworks.montana.edu/xmlui/handle/1/4447.

MLA Handbook (7^th Edition):

Mattics, Leon Eugene. “Vector spaces of countable dimension over algebraic number fields.” 1967. Web. 03 Mar 2021.

Vancouver:

Mattics LE. Vector spaces of countable dimension over algebraic number fields. [Internet] [Doctoral dissertation]. Montana State University; 1967. [cited 2021 Mar 03]. Available from: https://scholarworks.montana.edu/xmlui/handle/1/4447.

Council of Science Editors:

Mattics LE. Vector spaces of countable dimension over algebraic number fields. [Doctoral Dissertation]. Montana State University; 1967. Available from: https://scholarworks.montana.edu/xmlui/handle/1/4447

Texas Tech University

26. Mooningham, Alice Gretchen Miller. Reflexive lattices of subspaces in a locally convex space.

Degree: Mathematics, 1974, Texas Tech University

URL: http://hdl.handle.net/2346/17002

Subjects/Keywords: Lattice theory; Vector spaces

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

APA (6^th Edition):

Mooningham, A. G. M. (1974). Reflexive lattices of subspaces in a locally convex space. (Thesis). Texas Tech University. Retrieved from http://hdl.handle.net/2346/17002

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):

Mooningham, Alice Gretchen Miller. “Reflexive lattices of subspaces in a locally convex space.” 1974. Thesis, Texas Tech University. Accessed March 03, 2021. http://hdl.handle.net/2346/17002.

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

MLA Handbook (7^th Edition):

Mooningham, Alice Gretchen Miller. “Reflexive lattices of subspaces in a locally convex space.” 1974. Web. 03 Mar 2021.

Vancouver:

Mooningham AGM. Reflexive lattices of subspaces in a locally convex space. [Internet] [Thesis]. Texas Tech University; 1974. [cited 2021 Mar 03]. Available from: http://hdl.handle.net/2346/17002.

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

Council of Science Editors:

Mooningham AGM. Reflexive lattices of subspaces in a locally convex space. [Thesis]. Texas Tech University; 1974. Available from: http://hdl.handle.net/2346/17002

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

University of Hawaii – Manoa

27. Seffrood, Jiajia Yang Garcia. Dual linear spaces generated by a non-Desarguesian configuration.

Degree: PhD, 2009, University of Hawaii – Manoa

URL: http://hdl.handle.net/10125/11727

►

Electronic reproduction.

Also available by subscription via World Wide Web

viii, 161 leaves, bound ill. 29 cm

A dual linear space is a partial projective… (more)

Subjects/Keywords: Vector spaces; Projective planes

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

APA (6^th Edition):

Seffrood, J. Y. G. (2009). Dual linear spaces generated by a non-Desarguesian configuration. (Doctoral Dissertation). University of Hawaii – Manoa. Retrieved from http://hdl.handle.net/10125/11727

Chicago Manual of Style (16^th Edition):

Seffrood, Jiajia Yang Garcia. “Dual linear spaces generated by a non-Desarguesian configuration.” 2009. Doctoral Dissertation, University of Hawaii – Manoa. Accessed March 03, 2021. http://hdl.handle.net/10125/11727.

MLA Handbook (7^th Edition):

Seffrood, Jiajia Yang Garcia. “Dual linear spaces generated by a non-Desarguesian configuration.” 2009. Web. 03 Mar 2021.

Vancouver:

Seffrood JYG. Dual linear spaces generated by a non-Desarguesian configuration. [Internet] [Doctoral dissertation]. University of Hawaii – Manoa; 2009. [cited 2021 Mar 03]. Available from: http://hdl.handle.net/10125/11727.

Council of Science Editors:

Seffrood JYG. Dual linear spaces generated by a non-Desarguesian configuration. [Doctoral Dissertation]. University of Hawaii – Manoa; 2009. Available from: http://hdl.handle.net/10125/11727

University of British Columbia

28. Moore, Carolyn Fay. Characterization of transformations preserving rank two tensors of a tensor product space.

Degree: MA- MA, Mathematics, 1966, University of British Columbia

URL: http://hdl.handle.net/2429/37030

► Let U⊗V be a tensor product space over an algebraically closed field F ; let dim U = m and dim V = n ;… (more)

Subjects/Keywords: Vector spaces; Calculus of tensors

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

APA (6^th Edition):

Moore, C. F. (1966). Characterization of transformations preserving rank two tensors of a tensor product space. (Masters Thesis). University of British Columbia. Retrieved from http://hdl.handle.net/2429/37030

Chicago Manual of Style (16^th Edition):

Moore, Carolyn Fay. “Characterization of transformations preserving rank two tensors of a tensor product space.” 1966. Masters Thesis, University of British Columbia. Accessed March 03, 2021. http://hdl.handle.net/2429/37030.

MLA Handbook (7^th Edition):

Moore, Carolyn Fay. “Characterization of transformations preserving rank two tensors of a tensor product space.” 1966. Web. 03 Mar 2021.

Vancouver:

Moore CF. Characterization of transformations preserving rank two tensors of a tensor product space. [Internet] [Masters thesis]. University of British Columbia; 1966. [cited 2021 Mar 03]. Available from: http://hdl.handle.net/2429/37030.

Council of Science Editors:

Moore CF. Characterization of transformations preserving rank two tensors of a tensor product space. [Masters Thesis]. University of British Columbia; 1966. Available from: http://hdl.handle.net/2429/37030

University of British Columbia

29. Lim, Marion Josephine Sui Sim. Characterization of subspaces of rank two grassmann vectors of order two.

Degree: PhD, Mathematics, 1967, University of British Columbia

URL: http://hdl.handle.net/2429/41206

► Let U be an n-dimensional vector space over an algebraically closed field. Let [formula omitted] denote the [formula omitted] space spanned by all Grassmann products… (more)

Subjects/Keywords: generalized spaces; ausdehnungslehre; vector analysis

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

APA (6^th Edition):

Lim, M. J. S. S. (1967). Characterization of subspaces of rank two grassmann vectors of order two. (Doctoral Dissertation). University of British Columbia. Retrieved from http://hdl.handle.net/2429/41206

Chicago Manual of Style (16^th Edition):

Lim, Marion Josephine Sui Sim. “Characterization of subspaces of rank two grassmann vectors of order two.” 1967. Doctoral Dissertation, University of British Columbia. Accessed March 03, 2021. http://hdl.handle.net/2429/41206.

MLA Handbook (7^th Edition):

Lim, Marion Josephine Sui Sim. “Characterization of subspaces of rank two grassmann vectors of order two.” 1967. Web. 03 Mar 2021.

Vancouver:

Lim MJSS. Characterization of subspaces of rank two grassmann vectors of order two. [Internet] [Doctoral dissertation]. University of British Columbia; 1967. [cited 2021 Mar 03]. Available from: http://hdl.handle.net/2429/41206.

Council of Science Editors:

Lim MJSS. Characterization of subspaces of rank two grassmann vectors of order two. [Doctoral Dissertation]. University of British Columbia; 1967. Available from: http://hdl.handle.net/2429/41206

University of British Columbia

30. Millington, Hugh Gladstone Roy. Cylinder measures over vector spaces.

Degree: PhD, Mathematics, 1971, University of British Columbia

URL: http://hdl.handle.net/2429/34276

► In this paper we present a theory of cylinder measures from the viewpoint of inverse systems of measure spaces. Specifically, we consider the problem of… (more)

Subjects/Keywords: Cylinder (Mathematics); Vector spaces

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

APA (6^th Edition):

Millington, H. G. R. (1971). Cylinder measures over vector spaces. (Doctoral Dissertation). University of British Columbia. Retrieved from http://hdl.handle.net/2429/34276

Chicago Manual of Style (16^th Edition):

Millington, Hugh Gladstone Roy. “Cylinder measures over vector spaces.” 1971. Doctoral Dissertation, University of British Columbia. Accessed March 03, 2021. http://hdl.handle.net/2429/34276.

MLA Handbook (7^th Edition):

Millington, Hugh Gladstone Roy. “Cylinder measures over vector spaces.” 1971. Web. 03 Mar 2021.

Vancouver:

Millington HGR. Cylinder measures over vector spaces. [Internet] [Doctoral dissertation]. University of British Columbia; 1971. [cited 2021 Mar 03]. Available from: http://hdl.handle.net/2429/34276.

Council of Science Editors:

Millington HGR. Cylinder measures over vector spaces. [Doctoral Dissertation]. University of British Columbia; 1971. Available from: http://hdl.handle.net/2429/34276

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