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University of Akron

1.
Holik, Nicklos L, III.
* NONSTANDARD* HULLS OF GROUPS.

Degree: MS, Mathematics, 2007, University of Akron

URL: http://rave.ohiolink.edu/etdc/view?acc_num=akron1176409770

► The *nonstandard* hull construction, one of the most useful applications of Abraham Robinson's *nonstandard* *analysis*, is generalized to an arbitrary group. Some important connections between…
(more)

Subjects/Keywords: Mathematics; Nonstandard Analysis; Group Theory

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APA (6^{th} Edition):

Holik, Nicklos L, I. (2007). NONSTANDARD HULLS OF GROUPS. (Masters Thesis). University of Akron. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=akron1176409770

Chicago Manual of Style (16^{th} Edition):

Holik, Nicklos L, III. “NONSTANDARD HULLS OF GROUPS.” 2007. Masters Thesis, University of Akron. Accessed April 02, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=akron1176409770.

MLA Handbook (7^{th} Edition):

Holik, Nicklos L, III. “NONSTANDARD HULLS OF GROUPS.” 2007. Web. 02 Apr 2020.

Vancouver:

Holik, Nicklos L I. NONSTANDARD HULLS OF GROUPS. [Internet] [Masters thesis]. University of Akron; 2007. [cited 2020 Apr 02]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=akron1176409770.

Council of Science Editors:

Holik, Nicklos L I. NONSTANDARD HULLS OF GROUPS. [Masters Thesis]. University of Akron; 2007. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=akron1176409770

University of South Africa

2. Potgieter, Paul. The fractal geometry of Brownian motion .

Degree: 2009, University of South Africa

URL: http://hdl.handle.net/10500/1868

► After an introduction to Brownian motion, Hausdorff dimension, *nonstandard* *analysis* and Loeb measure theory, we explore the notion of a *nonstandard* formulation of Hausdorff dimension.…
(more)

Subjects/Keywords: Nonstandard analysis; Nonstandard formula

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APA (6^{th} Edition):

Potgieter, P. (2009). The fractal geometry of Brownian motion . (Doctoral Dissertation). University of South Africa. Retrieved from http://hdl.handle.net/10500/1868

Chicago Manual of Style (16^{th} Edition):

Potgieter, Paul. “The fractal geometry of Brownian motion .” 2009. Doctoral Dissertation, University of South Africa. Accessed April 02, 2020. http://hdl.handle.net/10500/1868.

MLA Handbook (7^{th} Edition):

Potgieter, Paul. “The fractal geometry of Brownian motion .” 2009. Web. 02 Apr 2020.

Vancouver:

Potgieter P. The fractal geometry of Brownian motion . [Internet] [Doctoral dissertation]. University of South Africa; 2009. [cited 2020 Apr 02]. Available from: http://hdl.handle.net/10500/1868.

Council of Science Editors:

Potgieter P. The fractal geometry of Brownian motion . [Doctoral Dissertation]. University of South Africa; 2009. Available from: http://hdl.handle.net/10500/1868

3.
Sanders, Sam.
The reverse mathematics of elementary recursive *nonstandard* *analysis*: a robust contribution to the foundations of mathematics.

Degree: 2010, Ghent University

URL: http://hdl.handle.net/1854/LU-898469

► Reverse Mathematics (RM) is a program in the Foundations of Mathematics founded by Harvey Friedman in the Seventies ([17, 18]). The aim of RM is…
(more)

Subjects/Keywords: Mathematics and Statistics; Reverse Mathematics; Nonstandard Analysis.

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APA (6^{th} Edition):

Sanders, S. (2010). The reverse mathematics of elementary recursive nonstandard analysis: a robust contribution to the foundations of mathematics. (Thesis). Ghent University. Retrieved from http://hdl.handle.net/1854/LU-898469

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):

Sanders, Sam. “The reverse mathematics of elementary recursive nonstandard analysis: a robust contribution to the foundations of mathematics.” 2010. Thesis, Ghent University. Accessed April 02, 2020. http://hdl.handle.net/1854/LU-898469.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Sanders, Sam. “The reverse mathematics of elementary recursive nonstandard analysis: a robust contribution to the foundations of mathematics.” 2010. Web. 02 Apr 2020.

Vancouver:

Sanders S. The reverse mathematics of elementary recursive nonstandard analysis: a robust contribution to the foundations of mathematics. [Internet] [Thesis]. Ghent University; 2010. [cited 2020 Apr 02]. Available from: http://hdl.handle.net/1854/LU-898469.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Sanders S. The reverse mathematics of elementary recursive nonstandard analysis: a robust contribution to the foundations of mathematics. [Thesis]. Ghent University; 2010. Available from: http://hdl.handle.net/1854/LU-898469

Not specified: Masters Thesis or Doctoral Dissertation

4. Chollet, Agathe. Formalismes non classiques pour le traitement informatique de la topologie et de la géométrie discrète : Non classical formalisms for the computing treatment of the topoligy and the discrete geometry.

Degree: Docteur es, Mathématiques et applications, 2010, La Rochelle

URL: http://www.theses.fr/2010LAROS315

►

L’objet de ce travail est l’utilisation de certains formalismes non classiques (analyses non standard, analyses constructives) afin de proposer des bases théoriques nouvelles autour des… (more)

Subjects/Keywords: Analyse nonstandard; Géométrie Discrète; Mathématiques Constructives; Nonstandard Analysis; Discrete Geometry; Constructive Mathematics

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APA (6^{th} Edition):

Chollet, A. (2010). Formalismes non classiques pour le traitement informatique de la topologie et de la géométrie discrète : Non classical formalisms for the computing treatment of the topoligy and the discrete geometry. (Doctoral Dissertation). La Rochelle. Retrieved from http://www.theses.fr/2010LAROS315

Chicago Manual of Style (16^{th} Edition):

Chollet, Agathe. “Formalismes non classiques pour le traitement informatique de la topologie et de la géométrie discrète : Non classical formalisms for the computing treatment of the topoligy and the discrete geometry.” 2010. Doctoral Dissertation, La Rochelle. Accessed April 02, 2020. http://www.theses.fr/2010LAROS315.

MLA Handbook (7^{th} Edition):

Chollet, Agathe. “Formalismes non classiques pour le traitement informatique de la topologie et de la géométrie discrète : Non classical formalisms for the computing treatment of the topoligy and the discrete geometry.” 2010. Web. 02 Apr 2020.

Vancouver:

Chollet A. Formalismes non classiques pour le traitement informatique de la topologie et de la géométrie discrète : Non classical formalisms for the computing treatment of the topoligy and the discrete geometry. [Internet] [Doctoral dissertation]. La Rochelle; 2010. [cited 2020 Apr 02]. Available from: http://www.theses.fr/2010LAROS315.

Council of Science Editors:

Chollet A. Formalismes non classiques pour le traitement informatique de la topologie et de la géométrie discrète : Non classical formalisms for the computing treatment of the topoligy and the discrete geometry. [Doctoral Dissertation]. La Rochelle; 2010. Available from: http://www.theses.fr/2010LAROS315

5.
Miller, Jesse E.
* Nonstandard* techniques in lifting theory.

Degree: PhD, 0439, 2011, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/24411

► In this dissertation, a *nonstandard* approach to lifting theory developed by Bliedtner and Loeb is applied to liftings on topological measure spaces and group measure…
(more)

Subjects/Keywords: lifting; measure; nonstandard analysis

…such that
1.3. The *Nonstandard* Framework
5
for every A 2 A.
One particular case to note… …has a derivative with respect
to .
1.3. The *Nonstandard* Framework
In all *nonstandard*… …contexts, we work within a sufficiently saturated *nonstandard* model containing
R as well as all… …called
associated liftings.
In the next chapter, *nonstandard* techniques will be used to… …Chapter 2: The *Nonstandard* Approach to Liftings
The *nonstandard* approach to liftings outlined in…

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APA (6^{th} Edition):

Miller, J. E. (2011). Nonstandard techniques in lifting theory. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/24411

Chicago Manual of Style (16^{th} Edition):

Miller, Jesse E. “Nonstandard techniques in lifting theory.” 2011. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed April 02, 2020. http://hdl.handle.net/2142/24411.

MLA Handbook (7^{th} Edition):

Miller, Jesse E. “Nonstandard techniques in lifting theory.” 2011. Web. 02 Apr 2020.

Vancouver:

Miller JE. Nonstandard techniques in lifting theory. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2011. [cited 2020 Apr 02]. Available from: http://hdl.handle.net/2142/24411.

Council of Science Editors:

Miller JE. Nonstandard techniques in lifting theory. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2011. Available from: http://hdl.handle.net/2142/24411

University of Minnesota

6. ZHOU, YU. Quantile-optimal Treatment Regimes with Censored Data.

Degree: PhD, Statistics, 2018, University of Minnesota

URL: http://hdl.handle.net/11299/200262

► The problem of estimating an optimal treatment regime has received considerable attention recently. However, most of the earlier work in this area has focused on…
(more)

Subjects/Keywords: M-estimation; Nonstandard asymptotics; Precision medicine; Quantile criterion; Survival analysis

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APA (6^{th} Edition):

ZHOU, Y. (2018). Quantile-optimal Treatment Regimes with Censored Data. (Doctoral Dissertation). University of Minnesota. Retrieved from http://hdl.handle.net/11299/200262

Chicago Manual of Style (16^{th} Edition):

ZHOU, YU. “Quantile-optimal Treatment Regimes with Censored Data.” 2018. Doctoral Dissertation, University of Minnesota. Accessed April 02, 2020. http://hdl.handle.net/11299/200262.

MLA Handbook (7^{th} Edition):

ZHOU, YU. “Quantile-optimal Treatment Regimes with Censored Data.” 2018. Web. 02 Apr 2020.

Vancouver:

ZHOU Y. Quantile-optimal Treatment Regimes with Censored Data. [Internet] [Doctoral dissertation]. University of Minnesota; 2018. [cited 2020 Apr 02]. Available from: http://hdl.handle.net/11299/200262.

Council of Science Editors:

ZHOU Y. Quantile-optimal Treatment Regimes with Censored Data. [Doctoral Dissertation]. University of Minnesota; 2018. Available from: http://hdl.handle.net/11299/200262

University of Oxford

7.
Pestana, Jennifer.
* Nonstandard* inner products and preconditioned iterative methods.

Degree: 2011, University of Oxford

URL: http://ora.ox.ac.uk/objects/uuid:2e5b636b-1145-461e-80fa-ea2041ec476f ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.555260

► By considering Krylov subspace methods in *nonstandard* inner products, we develop in this thesis new methods for solving large sparse linear systems and examine the…
(more)

Subjects/Keywords: 518; Numerical analysis : Krylov subspace methods : linear systems : nonstandard inner products : preconditioning

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APA (6^{th} Edition):

Pestana, J. (2011). Nonstandard inner products and preconditioned iterative methods. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:2e5b636b-1145-461e-80fa-ea2041ec476f ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.555260

Chicago Manual of Style (16^{th} Edition):

Pestana, Jennifer. “Nonstandard inner products and preconditioned iterative methods.” 2011. Doctoral Dissertation, University of Oxford. Accessed April 02, 2020. http://ora.ox.ac.uk/objects/uuid:2e5b636b-1145-461e-80fa-ea2041ec476f ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.555260.

MLA Handbook (7^{th} Edition):

Pestana, Jennifer. “Nonstandard inner products and preconditioned iterative methods.” 2011. Web. 02 Apr 2020.

Vancouver:

Pestana J. Nonstandard inner products and preconditioned iterative methods. [Internet] [Doctoral dissertation]. University of Oxford; 2011. [cited 2020 Apr 02]. Available from: http://ora.ox.ac.uk/objects/uuid:2e5b636b-1145-461e-80fa-ea2041ec476f ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.555260.

Council of Science Editors:

Pestana J. Nonstandard inner products and preconditioned iterative methods. [Doctoral Dissertation]. University of Oxford; 2011. Available from: http://ora.ox.ac.uk/objects/uuid:2e5b636b-1145-461e-80fa-ea2041ec476f ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.555260

University of Manchester

8. Kocsis, Zoltan. Development of Group Theory in the Language of Internal Set Theory.

Degree: 2019, University of Manchester

URL: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:322301

► This thesis explores two novel algebraic applications of Internal Set Theory (IST). We propose an explicitly topological formalism of structural approximation of groups, generalizing previous…
(more)

Subjects/Keywords: internal set theory; group theory; nonstandard analysis; group actions; sheaves; type theory

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APA (6^{th} Edition):

Kocsis, Z. (2019). Development of Group Theory in the Language of Internal Set Theory. (Doctoral Dissertation). University of Manchester. Retrieved from http://www.manchester.ac.uk/escholar/uk-ac-man-scw:322301

Chicago Manual of Style (16^{th} Edition):

Kocsis, Zoltan. “Development of Group Theory in the Language of Internal Set Theory.” 2019. Doctoral Dissertation, University of Manchester. Accessed April 02, 2020. http://www.manchester.ac.uk/escholar/uk-ac-man-scw:322301.

MLA Handbook (7^{th} Edition):

Kocsis, Zoltan. “Development of Group Theory in the Language of Internal Set Theory.” 2019. Web. 02 Apr 2020.

Vancouver:

Kocsis Z. Development of Group Theory in the Language of Internal Set Theory. [Internet] [Doctoral dissertation]. University of Manchester; 2019. [cited 2020 Apr 02]. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:322301.

Council of Science Editors:

Kocsis Z. Development of Group Theory in the Language of Internal Set Theory. [Doctoral Dissertation]. University of Manchester; 2019. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:322301

University of Manchester

9. Kocsis, Zoltan. Development of group theory in the language of internal set theory.

Degree: PhD, 2019, University of Manchester

URL: https://www.research.manchester.ac.uk/portal/en/theses/development-of-group-theory-in-the-language-of-internal-set-theory(2f333784-a511-4c85-a7e2-812cc14e6067).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.791236

► This thesis explores two novel algebraic applications of Internal Set Theory (IST). We propose an explicitly topological formalism of structural approximation of groups, generalizing previous…
(more)

Subjects/Keywords: 510; type theory; sheaves; group actions; group theory; internal set theory; nonstandard analysis

Record Details Similar Records

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

APA (6^{th} Edition):

Kocsis, Z. (2019). Development of group theory in the language of internal set theory. (Doctoral Dissertation). University of Manchester. Retrieved from https://www.research.manchester.ac.uk/portal/en/theses/development-of-group-theory-in-the-language-of-internal-set-theory(2f333784-a511-4c85-a7e2-812cc14e6067).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.791236

Chicago Manual of Style (16^{th} Edition):

Kocsis, Zoltan. “Development of group theory in the language of internal set theory.” 2019. Doctoral Dissertation, University of Manchester. Accessed April 02, 2020. https://www.research.manchester.ac.uk/portal/en/theses/development-of-group-theory-in-the-language-of-internal-set-theory(2f333784-a511-4c85-a7e2-812cc14e6067).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.791236.

MLA Handbook (7^{th} Edition):

Kocsis, Zoltan. “Development of group theory in the language of internal set theory.” 2019. Web. 02 Apr 2020.

Vancouver:

Kocsis Z. Development of group theory in the language of internal set theory. [Internet] [Doctoral dissertation]. University of Manchester; 2019. [cited 2020 Apr 02]. Available from: https://www.research.manchester.ac.uk/portal/en/theses/development-of-group-theory-in-the-language-of-internal-set-theory(2f333784-a511-4c85-a7e2-812cc14e6067).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.791236.

Council of Science Editors:

Kocsis Z. Development of group theory in the language of internal set theory. [Doctoral Dissertation]. University of Manchester; 2019. Available from: https://www.research.manchester.ac.uk/portal/en/theses/development-of-group-theory-in-the-language-of-internal-set-theory(2f333784-a511-4c85-a7e2-812cc14e6067).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.791236

University of Southern California

10. Lakeland, Daniel L. Continuum modeling techniques and their application to the physics of soil liquefaction and dissipative vibrations.

Degree: PhD, Civil Engineering, 2014, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/346615/rec/1630

► The research in this dissertation encompasses four main thrusts: mathematical modeling techniques for building continuum models of systems that are explicitly acknowledged to be non-continuous…
(more)

Subjects/Keywords: soil liquefaction; energy dissipation; vibrations; continuum models; nonstandard analysis; statistical mechanics; Bayesian statistics

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APA (6^{th} Edition):

Lakeland, D. L. (2014). Continuum modeling techniques and their application to the physics of soil liquefaction and dissipative vibrations. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/346615/rec/1630

Chicago Manual of Style (16^{th} Edition):

Lakeland, Daniel L. “Continuum modeling techniques and their application to the physics of soil liquefaction and dissipative vibrations.” 2014. Doctoral Dissertation, University of Southern California. Accessed April 02, 2020. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/346615/rec/1630.

MLA Handbook (7^{th} Edition):

Lakeland, Daniel L. “Continuum modeling techniques and their application to the physics of soil liquefaction and dissipative vibrations.” 2014. Web. 02 Apr 2020.

Vancouver:

Lakeland DL. Continuum modeling techniques and their application to the physics of soil liquefaction and dissipative vibrations. [Internet] [Doctoral dissertation]. University of Southern California; 2014. [cited 2020 Apr 02]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/346615/rec/1630.

Council of Science Editors:

Lakeland DL. Continuum modeling techniques and their application to the physics of soil liquefaction and dissipative vibrations. [Doctoral Dissertation]. University of Southern California; 2014. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/346615/rec/1630

Simon Fraser University

11. McLaren, Christopher Graham. Estimation of variance components in linear models.

Degree: 1983, Simon Fraser University

URL: http://summit.sfu.ca/item/6446

Subjects/Keywords: Number theory.; Transfinite numbers.; Nonstandard mathematical analysis.; Set theory.

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APA (6^{th} Edition):

McLaren, C. G. (1983). Estimation of variance components in linear models. (Thesis). Simon Fraser University. Retrieved from http://summit.sfu.ca/item/6446

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

McLaren, Christopher Graham. “Estimation of variance components in linear models.” 1983. Thesis, Simon Fraser University. Accessed April 02, 2020. http://summit.sfu.ca/item/6446.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

McLaren, Christopher Graham. “Estimation of variance components in linear models.” 1983. Web. 02 Apr 2020.

Vancouver:

McLaren CG. Estimation of variance components in linear models. [Internet] [Thesis]. Simon Fraser University; 1983. [cited 2020 Apr 02]. Available from: http://summit.sfu.ca/item/6446.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

McLaren CG. Estimation of variance components in linear models. [Thesis]. Simon Fraser University; 1983. Available from: http://summit.sfu.ca/item/6446

Not specified: Masters Thesis or Doctoral Dissertation

Simon Fraser University

12.
Laflamme, Claude.
Structure of *nonstandard* number systems.

Degree: 1983, Simon Fraser University

URL: http://summit.sfu.ca/item/6447

Subjects/Keywords: Number theory.; Transfinite numbers.; Nonstandard mathematical analysis.; Set theory.

Record Details Similar Records

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APA (6^{th} Edition):

Laflamme, C. (1983). Structure of nonstandard number systems. (Thesis). Simon Fraser University. Retrieved from http://summit.sfu.ca/item/6447

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Laflamme, Claude. “Structure of nonstandard number systems.” 1983. Thesis, Simon Fraser University. Accessed April 02, 2020. http://summit.sfu.ca/item/6447.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Laflamme, Claude. “Structure of nonstandard number systems.” 1983. Web. 02 Apr 2020.

Vancouver:

Laflamme C. Structure of nonstandard number systems. [Internet] [Thesis]. Simon Fraser University; 1983. [cited 2020 Apr 02]. Available from: http://summit.sfu.ca/item/6447.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Laflamme C. Structure of nonstandard number systems. [Thesis]. Simon Fraser University; 1983. Available from: http://summit.sfu.ca/item/6447

Not specified: Masters Thesis or Doctoral Dissertation

University of Toronto

13.
Duanmu, Haosui.
Applications of *Nonstandard* *Analysis* to Markov Processes and Statistical Decision Theory.

Degree: PhD, 2018, University of Toronto

URL: http://hdl.handle.net/1807/89711

► We use *nonstandard* *analysis* to significantly generalize the well-known Markov chain ergodic theorem and establish a fundamentally new complete class theorem, making progress on two…
(more)

Subjects/Keywords: complete class theorem; Markov chain ergodic theorem; mathematical logic; nonstandard analysis; statistical decision theory; stochastic processes; 0463

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APA (6^{th} Edition):

Duanmu, H. (2018). Applications of Nonstandard Analysis to Markov Processes and Statistical Decision Theory. (Doctoral Dissertation). University of Toronto. Retrieved from http://hdl.handle.net/1807/89711

Chicago Manual of Style (16^{th} Edition):

Duanmu, Haosui. “Applications of Nonstandard Analysis to Markov Processes and Statistical Decision Theory.” 2018. Doctoral Dissertation, University of Toronto. Accessed April 02, 2020. http://hdl.handle.net/1807/89711.

MLA Handbook (7^{th} Edition):

Duanmu, Haosui. “Applications of Nonstandard Analysis to Markov Processes and Statistical Decision Theory.” 2018. Web. 02 Apr 2020.

Vancouver:

Duanmu H. Applications of Nonstandard Analysis to Markov Processes and Statistical Decision Theory. [Internet] [Doctoral dissertation]. University of Toronto; 2018. [cited 2020 Apr 02]. Available from: http://hdl.handle.net/1807/89711.

Council of Science Editors:

Duanmu H. Applications of Nonstandard Analysis to Markov Processes and Statistical Decision Theory. [Doctoral Dissertation]. University of Toronto; 2018. Available from: http://hdl.handle.net/1807/89711

14. Reeder, Patrick F. Internal Set Theory and Euler's Introductio in Analysin Infinitorum.

Degree: MS, Mathematics, 2013, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1366149288

► In Leonhard Euler's seminal work Introductio in Analysin Infinitorum (1748), he readily used infinite numbers and infinitesimals in many of his proofs. We aim to…
(more)

Subjects/Keywords: Mathematics; Logic; Euler; Nonstandard analysis; Internal Set Theory; Infinitesimal; Infinite

…*Analysis* in (IST) . . . . . . . . . . . . . . . . . . . . .
11
3 *Nonstandard* *Analysis*… …infinite. This has occurred most notably
Abraham Robinson’s *nonstandard* *analysis*.5
The present… …*analysis*. We will use Edward Nelson’s development of *nonstandard* *analysis*, known as Internal Set… …relationship to Robinson’s work. Following this, in chapter 2, we will present *nonstandard*
*analysis*… …eye-opener to the
historiography of *analysis*,” [25].
2
*nonstandard* *analysis* to…

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APA (6^{th} Edition):

Reeder, P. F. (2013). Internal Set Theory and Euler's Introductio in Analysin Infinitorum. (Masters Thesis). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1366149288

Chicago Manual of Style (16^{th} Edition):

Reeder, Patrick F. “Internal Set Theory and Euler's Introductio in Analysin Infinitorum.” 2013. Masters Thesis, The Ohio State University. Accessed April 02, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1366149288.

MLA Handbook (7^{th} Edition):

Reeder, Patrick F. “Internal Set Theory and Euler's Introductio in Analysin Infinitorum.” 2013. Web. 02 Apr 2020.

Vancouver:

Reeder PF. Internal Set Theory and Euler's Introductio in Analysin Infinitorum. [Internet] [Masters thesis]. The Ohio State University; 2013. [cited 2020 Apr 02]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1366149288.

Council of Science Editors:

Reeder PF. Internal Set Theory and Euler's Introductio in Analysin Infinitorum. [Masters Thesis]. The Ohio State University; 2013. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1366149288

15.
Justino, Júlia Maria da Rocha Vilaverde.
* Nonstandard* linear algebra with error

Degree: 2013, Universidade de Évora

URL: http://www.rcaap.pt/detail.jsp?id=oai:dspace.uevora.pt:10174/16316

► Neste trabalho consideramos sistemas de equações lineares exíveis, sistemas de equações lineares cujos coe cientes têm incertezas de tipo o (:) ou O (:). Este…
(more)

Subjects/Keywords: Regra de Cramer; Método de eliminação de Gauss; Neutrizes; Números externos; Análise não standard; Cramer´s rule; Gauss-Jordan elimination; Neutrices; External numbers; Nonstandard analysis

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

APA (6^{th} Edition):

Justino, J. M. d. R. V. (2013). Nonstandard linear algebra with error analysis. (Thesis). Universidade de Évora. Retrieved from http://www.rcaap.pt/detail.jsp?id=oai:dspace.uevora.pt:10174/16316

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Justino, Júlia Maria da Rocha Vilaverde. “Nonstandard linear algebra with error analysis.” 2013. Thesis, Universidade de Évora. Accessed April 02, 2020. http://www.rcaap.pt/detail.jsp?id=oai:dspace.uevora.pt:10174/16316.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Justino, Júlia Maria da Rocha Vilaverde. “Nonstandard linear algebra with error analysis.” 2013. Web. 02 Apr 2020.

Vancouver:

Justino JMdRV. Nonstandard linear algebra with error analysis. [Internet] [Thesis]. Universidade de Évora; 2013. [cited 2020 Apr 02]. Available from: http://www.rcaap.pt/detail.jsp?id=oai:dspace.uevora.pt:10174/16316.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Justino JMdRV. Nonstandard linear algebra with error analysis. [Thesis]. Universidade de Évora; 2013. Available from: http://www.rcaap.pt/detail.jsp?id=oai:dspace.uevora.pt:10174/16316

Not specified: Masters Thesis or Doctoral Dissertation

University of the Western Cape

16. Khabir, Mohmed Hassan Mohmed. Numerical singular perturbation approaches based on spline approximation methods for solving problems in computational finance .

Degree: 2011, University of the Western Cape

URL: http://hdl.handle.net/11394/1762

► Options are a special type of derivative securities because their values are derived from the value of some underlying security. Most options can be grouped…
(more)

Subjects/Keywords: Computational Finance; Options Pricing; Black-Scholes Equation; Standard Options; Nonstandard Options; Free Boundary Problems; Spline Approximation Theory; Singular Perturbation Techniques; Numerical Methods; Convergence Analysis

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

APA (6^{th} Edition):

Khabir, M. H. M. (2011). Numerical singular perturbation approaches based on spline approximation methods for solving problems in computational finance . (Thesis). University of the Western Cape. Retrieved from http://hdl.handle.net/11394/1762

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Khabir, Mohmed Hassan Mohmed. “Numerical singular perturbation approaches based on spline approximation methods for solving problems in computational finance .” 2011. Thesis, University of the Western Cape. Accessed April 02, 2020. http://hdl.handle.net/11394/1762.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Khabir, Mohmed Hassan Mohmed. “Numerical singular perturbation approaches based on spline approximation methods for solving problems in computational finance .” 2011. Web. 02 Apr 2020.

Vancouver:

Khabir MHM. Numerical singular perturbation approaches based on spline approximation methods for solving problems in computational finance . [Internet] [Thesis]. University of the Western Cape; 2011. [cited 2020 Apr 02]. Available from: http://hdl.handle.net/11394/1762.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Khabir MHM. Numerical singular perturbation approaches based on spline approximation methods for solving problems in computational finance . [Thesis]. University of the Western Cape; 2011. Available from: http://hdl.handle.net/11394/1762

Not specified: Masters Thesis or Doctoral Dissertation

Virginia Tech

17. Lengyel, Eric. Hyperreal structures arising from an infinite base logarithm.

Degree: MS, Mathematics, 1996, Virginia Tech

URL: http://hdl.handle.net/10919/44960

► This paper presents new concepts in the use of infinite and infinitesimal numbers in real *analysis*. theory is based upon the hyperreal number system…
(more)

Subjects/Keywords: infinitesimals; hyperreal numbers; nonstandard analysis; limits; infinite series; LD5655.V855 1996.L464

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

APA (6^{th} Edition):

Lengyel, E. (1996). Hyperreal structures arising from an infinite base logarithm. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/44960

Chicago Manual of Style (16^{th} Edition):

Lengyel, Eric. “Hyperreal structures arising from an infinite base logarithm.” 1996. Masters Thesis, Virginia Tech. Accessed April 02, 2020. http://hdl.handle.net/10919/44960.

MLA Handbook (7^{th} Edition):

Lengyel, Eric. “Hyperreal structures arising from an infinite base logarithm.” 1996. Web. 02 Apr 2020.

Vancouver:

Lengyel E. Hyperreal structures arising from an infinite base logarithm. [Internet] [Masters thesis]. Virginia Tech; 1996. [cited 2020 Apr 02]. Available from: http://hdl.handle.net/10919/44960.

Council of Science Editors:

Lengyel E. Hyperreal structures arising from an infinite base logarithm. [Masters Thesis]. Virginia Tech; 1996. Available from: http://hdl.handle.net/10919/44960

University of Vienna

18.
Schönenberger, Lisa.
* Nonstandard* methods in stochastics and applications to mathematical finance.

Degree: 2010, University of Vienna

URL: http://othes.univie.ac.at/10555/

►

Im ersten Kapitel dieser Diplomarbeit werden Methoden aus der Nichtstandard *Analysis* auf Maß- und Wahrscheinlichkeitstheorie angewendet. Der erste Abschnitt dieses Kapitels ist eine Zusammenfassung über…
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Subjects/Keywords: 31.70 Wahrscheinlichkeitsrechnung; Nichtstandard Analysis/ Loeb Maß, Brownsche Bewegung/ Europäische Optionen / Amerikanische Optionen / Cox-Ross-Rubinstein / Black-Scholes; Nonstandard Analysis / Loeb Measures / Brownian Motion / European Options / American Options / Cox-Ross-Rubinstein / Black-Scholes

Record Details Similar Records

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

APA (6^{th} Edition):

Schönenberger, L. (2010). Nonstandard methods in stochastics and applications to mathematical finance. (Thesis). University of Vienna. Retrieved from http://othes.univie.ac.at/10555/

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Schönenberger, Lisa. “Nonstandard methods in stochastics and applications to mathematical finance.” 2010. Thesis, University of Vienna. Accessed April 02, 2020. http://othes.univie.ac.at/10555/.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Schönenberger, Lisa. “Nonstandard methods in stochastics and applications to mathematical finance.” 2010. Web. 02 Apr 2020.

Vancouver:

Schönenberger L. Nonstandard methods in stochastics and applications to mathematical finance. [Internet] [Thesis]. University of Vienna; 2010. [cited 2020 Apr 02]. Available from: http://othes.univie.ac.at/10555/.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Schönenberger L. Nonstandard methods in stochastics and applications to mathematical finance. [Thesis]. University of Vienna; 2010. Available from: http://othes.univie.ac.at/10555/

Not specified: Masters Thesis or Doctoral Dissertation

19. Hyun, Nak-Seung Patrick. Causal infinitesimal modeling of nonlinear impulsive systems and safe path planning in robotics.

Degree: PhD, Electrical and Computer Engineering, 2018, Georgia Tech

URL: http://hdl.handle.net/1853/61641

► Modeling mechanical systems is a mathematical abstraction of describing the relation between the cause (e.g. a force and inertia) and the resulting motions. Depending on…
(more)

Subjects/Keywords: Control theory; Impulsive system; Hybrid systems; Nonstandard analysis; Path planning; Motion planning

…of Impulsive Affine Systems- A *Nonstandard*
*Analysis* Approach
8
Chapter 2: Mathematical… …Modeling . . . . . . . . . . . . . . . . . . . . . . 21
2.2
*Nonstandard* *Analysis*… …x28;KGF) theory, is developed within the framework
provided by *nonstandard* *analysis*… …develop a new field of mathematics called the *Nonstandard* *analysis*
(NSA), [5]… …Affine
Systems- A *Nonstandard* *Analysis*
Approach
8
CHAPTER 2
MATHEMATICAL PRELIMINARIES AND…

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

APA (6^{th} Edition):

Hyun, N. P. (2018). Causal infinitesimal modeling of nonlinear impulsive systems and safe path planning in robotics. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/61641

Chicago Manual of Style (16^{th} Edition):

Hyun, Nak-Seung Patrick. “Causal infinitesimal modeling of nonlinear impulsive systems and safe path planning in robotics.” 2018. Doctoral Dissertation, Georgia Tech. Accessed April 02, 2020. http://hdl.handle.net/1853/61641.

MLA Handbook (7^{th} Edition):

Hyun, Nak-Seung Patrick. “Causal infinitesimal modeling of nonlinear impulsive systems and safe path planning in robotics.” 2018. Web. 02 Apr 2020.

Vancouver:

Hyun NP. Causal infinitesimal modeling of nonlinear impulsive systems and safe path planning in robotics. [Internet] [Doctoral dissertation]. Georgia Tech; 2018. [cited 2020 Apr 02]. Available from: http://hdl.handle.net/1853/61641.

Council of Science Editors:

Hyun NP. Causal infinitesimal modeling of nonlinear impulsive systems and safe path planning in robotics. [Doctoral Dissertation]. Georgia Tech; 2018. Available from: http://hdl.handle.net/1853/61641

20.
Houchens, Jesse P.
Alternatives to the Calculus: *Nonstandard* *Analysis* and
Smooth Infinitesimal * Analysis*.

Degree: MA, Philosophy (Arts and Sciences), 2013, Ohio University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1365705311

► We attempt to clarify and evaluate what shall be called Mac Lane’s thesis—the thesis that *nonstandard* *analysis* (NSA) and smooth infinitesimal *analysis* (SIA) are alternatives…
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Subjects/Keywords: Philosophy; Philosophy of Science; Mathematics; Alternatives to the calculus; alternatives; calculus; nonstandard analysis; NSA; John L. Bell; J.H. Keisler; smooth infinitesimal analysis; synthetic differential geometry; philosophy of mathematics; mathematical philosophy; analysis; intuitionistic

…models of
*nonstandard* *analysis*, all set-theoretically definable maps (including… …a model of *nonstandard*
*analysis* would be unable to detect the presence of infinitesimals… …1.3. *Nonstandard* *Analysis*
NSA arose from the mathematico-logical investigations of Abraham… …wholly
speculative use of infinitesimals”, specifically the ways employed in *nonstandard*… …*analysis* (NSA) and smooth infinitesimal *analysis* (SIA)1. These two theses, we…

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

APA (6^{th} Edition):

Houchens, J. P. (2013). Alternatives to the Calculus: Nonstandard Analysis and Smooth Infinitesimal Analysis. (Masters Thesis). Ohio University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1365705311

Chicago Manual of Style (16^{th} Edition):

Houchens, Jesse P. “Alternatives to the Calculus: Nonstandard Analysis and Smooth Infinitesimal Analysis.” 2013. Masters Thesis, Ohio University. Accessed April 02, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1365705311.

MLA Handbook (7^{th} Edition):

Houchens, Jesse P. “Alternatives to the Calculus: Nonstandard Analysis and Smooth Infinitesimal Analysis.” 2013. Web. 02 Apr 2020.

Vancouver:

Houchens JP. Alternatives to the Calculus: Nonstandard Analysis and Smooth Infinitesimal Analysis. [Internet] [Masters thesis]. Ohio University; 2013. [cited 2020 Apr 02]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1365705311.

Council of Science Editors:

Houchens JP. Alternatives to the Calculus: Nonstandard Analysis and Smooth Infinitesimal Analysis. [Masters Thesis]. Ohio University; 2013. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1365705311