subject:( Bessel function)

NSYSU

1. Liu, Han-qiang. Analysis of arbitrarily profiled cylindrical dielectric waveguides using vectored magnetic orthogonal bases.

Degree: Master, Electro-Optical Engineering, 2005, NSYSU

URL: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0706105-172702

► The dielectric waveguide component has become a mature industry in these days in making it and understanding how it works. There are many theoretical and… (more)

Subjects/Keywords: Bessel function; photonic crystal; orthogonal

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APA (6^th Edition):

Liu, H. (2005). Analysis of arbitrarily profiled cylindrical dielectric waveguides using vectored magnetic orthogonal bases. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0706105-172702

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):

Liu, Han-qiang. “Analysis of arbitrarily profiled cylindrical dielectric waveguides using vectored magnetic orthogonal bases.” 2005. Thesis, NSYSU. Accessed April 16, 2021. http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0706105-172702.

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

MLA Handbook (7^th Edition):

Liu, Han-qiang. “Analysis of arbitrarily profiled cylindrical dielectric waveguides using vectored magnetic orthogonal bases.” 2005. Web. 16 Apr 2021.

Vancouver:

Liu H. Analysis of arbitrarily profiled cylindrical dielectric waveguides using vectored magnetic orthogonal bases. [Internet] [Thesis]. NSYSU; 2005. [cited 2021 Apr 16]. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0706105-172702.

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

Council of Science Editors:

Liu H. Analysis of arbitrarily profiled cylindrical dielectric waveguides using vectored magnetic orthogonal bases. [Thesis]. NSYSU; 2005. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0706105-172702

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

Tulane University

2. Kesarwani, Aashita. Theory of the generalized modified Bessel function K_{z,w}(x) and 2-adic valuations of integer sequences.

Degree: 2017, Tulane University

URL: https://digitallibrary.tulane.edu/islandora/object/tulane:77514

►

Modular-type transformation formulas are the identities that are invariant under the transformation α → 1/α, and they can be represented as F (α) = F… (more)

▼

Modular-type transformation formulas are the identities that are invariant under the transformation α → 1/α, and they can be represented as F (α) = F (β) where α β = 1. We derive a new transformation formula of the form F (α, z, w) = F (β, z, iw) that is a one-variable generalization of the well-known Ramanujan-Guinand identity of the form F (α, z) = F (β, z) and a two-variable generalization of Koshliakov’s formula of the form F (α) = F (β) where α β = 1. The formula is generated by first finding an integral J that is comprised of an invariance function Z and evaluating the integral to give F (α, z, w) mentioned above. The modified Bessel function K z (x) appearing in Ramanujan-Guinand identity is generalized to a new function, denoted as K z,w (x), that yields a pair of functions reciprocal in the Koshliakov kernel, which in turn yields the invariance function Z and hence the integral J and the new formula. The special function K z,w (x), first defined as the inverse Mellin transform of a product of two gamma functions and two confluent hypergeometric functions, is shown to exhibit a rich theory as evidenced by a number of integral and series representations as well as a differential-difference equation. The second topic of the thesis is 2-adic valuations of integer sequences associated with quadratic polynomials of the form x 2 +a. The sequence {n 2 +a : n ∈ Z} contains numbers divisible by any power of 2 if and only if a is of the form 4 m (8l+7). Applying this result to the sequences derived from the sums of four or fewer squares when one or more of the squares are kept constant leads to interesting results, that also points to an inherent connection with the functions r k (n) that count the number of ways to represent n as sums of k integer squares. Another class of sequences studied is the shifted sequences of the polygonal numbers given by the quadratic formula, for which the most common examples are the triangular numbers and the squares.

1

Aashita Kesarwani

Advisors/Committee Members: Moll, Victor (Thesis advisor), School of Science & Engineering Mathematics (Degree granting institution).

Subjects/Keywords: Bessel functions; Theta transformation formula; Riemann zeta function

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APA (6^th Edition):

Kesarwani, A. (2017). Theory of the generalized modified Bessel function K_{z,w}(x) and 2-adic valuations of integer sequences. (Thesis). Tulane University. Retrieved from https://digitallibrary.tulane.edu/islandora/object/tulane:77514

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):

Kesarwani, Aashita. “Theory of the generalized modified Bessel function K_{z,w}(x) and 2-adic valuations of integer sequences.” 2017. Thesis, Tulane University. Accessed April 16, 2021. https://digitallibrary.tulane.edu/islandora/object/tulane:77514.

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

MLA Handbook (7^th Edition):

Kesarwani, Aashita. “Theory of the generalized modified Bessel function K_{z,w}(x) and 2-adic valuations of integer sequences.” 2017. Web. 16 Apr 2021.

Vancouver:

Kesarwani A. Theory of the generalized modified Bessel function K_{z,w}(x) and 2-adic valuations of integer sequences. [Internet] [Thesis]. Tulane University; 2017. [cited 2021 Apr 16]. Available from: https://digitallibrary.tulane.edu/islandora/object/tulane:77514.

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

Council of Science Editors:

Kesarwani A. Theory of the generalized modified Bessel function K_{z,w}(x) and 2-adic valuations of integer sequences. [Thesis]. Tulane University; 2017. Available from: https://digitallibrary.tulane.edu/islandora/object/tulane:77514

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

University of New Mexico

3. Tejeda, Kaylee. On Roots of the Macdonald Function.

Degree: Mathematics & Statistics, 2014, University of New Mexico

URL: http://hdl.handle.net/1928/24518

► An overview is given for the Dirichlet-to-Neumann map for outgoing solutions to the radial wave equation' in the context of nonreflecting radiation boundary conditions on… (more)

Subjects/Keywords: Macdonald function; Bessel equation; radial wave equation; Newton's identities; Mathematica

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APA (6^th Edition):

Tejeda, K. (2014). On Roots of the Macdonald Function. (Masters Thesis). University of New Mexico. Retrieved from http://hdl.handle.net/1928/24518

Chicago Manual of Style (16^th Edition):

Tejeda, Kaylee. “On Roots of the Macdonald Function.” 2014. Masters Thesis, University of New Mexico. Accessed April 16, 2021. http://hdl.handle.net/1928/24518.

MLA Handbook (7^th Edition):

Tejeda, Kaylee. “On Roots of the Macdonald Function.” 2014. Web. 16 Apr 2021.

Vancouver:

Tejeda K. On Roots of the Macdonald Function. [Internet] [Masters thesis]. University of New Mexico; 2014. [cited 2021 Apr 16]. Available from: http://hdl.handle.net/1928/24518.

Council of Science Editors:

Tejeda K. On Roots of the Macdonald Function. [Masters Thesis]. University of New Mexico; 2014. Available from: http://hdl.handle.net/1928/24518

Louisiana State University

4. Ooi, Keng Hao. Nonlinear Potential Analysis on Sobolev Multiplier Spaces.

Degree: PhD, Mathematics, 2021, Louisiana State University

URL: https://digitalcommons.lsu.edu/gradschool_dissertations/5475

► We characterize preduals and Kothe duals to a class of Sobolev multiplier type spaces. Our results fit in well with the modern theory of… (more)

Subjects/Keywords: nonlinear potential theory; capacity; Choquet integral; maximal function; Bessel; Riesz

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APA (6^th Edition):

Ooi, K. H. (2021). Nonlinear Potential Analysis on Sobolev Multiplier Spaces. (Doctoral Dissertation). Louisiana State University. Retrieved from https://digitalcommons.lsu.edu/gradschool_dissertations/5475

Chicago Manual of Style (16^th Edition):

Ooi, Keng Hao. “Nonlinear Potential Analysis on Sobolev Multiplier Spaces.” 2021. Doctoral Dissertation, Louisiana State University. Accessed April 16, 2021. https://digitalcommons.lsu.edu/gradschool_dissertations/5475.

MLA Handbook (7^th Edition):

Ooi, Keng Hao. “Nonlinear Potential Analysis on Sobolev Multiplier Spaces.” 2021. Web. 16 Apr 2021.

Vancouver:

Ooi KH. Nonlinear Potential Analysis on Sobolev Multiplier Spaces. [Internet] [Doctoral dissertation]. Louisiana State University; 2021. [cited 2021 Apr 16]. Available from: https://digitalcommons.lsu.edu/gradschool_dissertations/5475.

Council of Science Editors:

Ooi KH. Nonlinear Potential Analysis on Sobolev Multiplier Spaces. [Doctoral Dissertation]. Louisiana State University; 2021. Available from: https://digitalcommons.lsu.edu/gradschool_dissertations/5475

University of Utah

5. Vyas, Urvi. Ultrasound beam simulation for magnetic resonance-guided focused ultrasound surgery.

Degree: PhD, Bioengineering, 2011, University of Utah

URL: http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/356/rec/2816

► Magnetic resonance-guided focused ultrasound surgery (MRgFUS) is a noninvasive means of causing selective tissue necrosis using high-power ultrasound and MR temperature imaging. Inhomogeneities in the… (more)

Subjects/Keywords: Element response function array; HIFU; Hybrid angular spectrum; MRgFUS; Ring-bessel; Ultrasound beam simulation

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APA (6^th Edition):

Vyas, U. (2011). Ultrasound beam simulation for magnetic resonance-guided focused ultrasound surgery. (Doctoral Dissertation). University of Utah. Retrieved from http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/356/rec/2816

Chicago Manual of Style (16^th Edition):

Vyas, Urvi. “Ultrasound beam simulation for magnetic resonance-guided focused ultrasound surgery.” 2011. Doctoral Dissertation, University of Utah. Accessed April 16, 2021. http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/356/rec/2816.

MLA Handbook (7^th Edition):

Vyas, Urvi. “Ultrasound beam simulation for magnetic resonance-guided focused ultrasound surgery.” 2011. Web. 16 Apr 2021.

Vancouver:

Vyas U. Ultrasound beam simulation for magnetic resonance-guided focused ultrasound surgery. [Internet] [Doctoral dissertation]. University of Utah; 2011. [cited 2021 Apr 16]. Available from: http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/356/rec/2816.

Council of Science Editors:

Vyas U. Ultrasound beam simulation for magnetic resonance-guided focused ultrasound surgery. [Doctoral Dissertation]. University of Utah; 2011. Available from: http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/356/rec/2816

Penn State University

6. Hadjicosta, Elena. Integral Transform Methods in Goodness-of-Fit Testing.

Degree: 2019, Penn State University

URL: https://submit-etda.libraries.psu.edu/catalog/16255exh963

► In the first part of this dissertation, we apply the method of Hankel transforms to develop goodness-of-fit tests for gamma distributions with given shape parameter… (more)

▼ In the first part of this dissertation, we apply the method of Hankel transforms to develop goodness-of-fit tests for gamma distributions with given shape parameter and unknown rate parameter. We derive the limiting null distribution of the test statistic, obtain the corresponding covariance operator; also, we show that the eigenvalues of the operator are simple and satisfy an interlacing property. We apply our tests to two data sets, one consisting of waiting times for a Geiger counter to observe 100 alpha-particles and a second data set of failure times for some tractor brakes. Further, we establish the consistency of the test and obtain the asymptotic distribution of the test statistic under a sequence of contiguous alternatives. We investigate the approximate Bahadur slope of the test statistic, and the validity of the Wieand condition, under which the approaches through the approximate Bahadur efficiency and the Pitman efficiency are in accord. In the second part of this dissertation, we initiate a study of the problem of goodness-of-fit testing when the data consist of positive definite matrices. Motivated by the recent appearance of the cone of positive definite matrices in numerous areas of applied research, including diffusion tensor imaging, finance, wireless communication systems, and in the analysis of polarimetric radar images, we apply the method of Hankel transforms of matrix argument to develop goodness-of-fit tests for Wishart distributions with given shape parameter and unknown scale matrix. We obtain the limiting null distribution of the test statistic and the corresponding covariance operator, and we derive an interlacing property for the eigenvalues of the operator. In this setting, the determination of the multiplicity of the eigenvalues is an open problem. As an application, we test the hypothesis that a financial data set, consisting of the sample covariance matrices for the biweekly logarithmic returns of the stock prices of three corporations, has a Wishart distribution. We also establish the consistency of the test against a large class of alternative distributions and derive the asymptotic distribution of the test statistic under a sequence of contiguous alternatives. We establish the Bahadur and Pitman efficiency properties of the test statistic and we show the validity of a modified Wieand condition. The proof of Wieand's condition remains an open problem. Advisors/Committee Members: Donald Richards, Dissertation Advisor/Co-Advisor, Bharath Sriperumbudur, Committee Chair/Co-Chair, Michael Akritas, Committee Member, Lynn Lin, Committee Member, Kirsten Eisentraeger, Outside Member.

Subjects/Keywords: Bessel function; Contiguous alternative; Gamma distribution; Gaussian random field; Hankel transform; Wishart distribution

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APA (6^th Edition):

Hadjicosta, E. (2019). Integral Transform Methods in Goodness-of-Fit Testing. (Thesis). Penn State University. Retrieved from https://submit-etda.libraries.psu.edu/catalog/16255exh963

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):

Hadjicosta, Elena. “Integral Transform Methods in Goodness-of-Fit Testing.” 2019. Thesis, Penn State University. Accessed April 16, 2021. https://submit-etda.libraries.psu.edu/catalog/16255exh963.

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

MLA Handbook (7^th Edition):

Hadjicosta, Elena. “Integral Transform Methods in Goodness-of-Fit Testing.” 2019. Web. 16 Apr 2021.

Vancouver:

Hadjicosta E. Integral Transform Methods in Goodness-of-Fit Testing. [Internet] [Thesis]. Penn State University; 2019. [cited 2021 Apr 16]. Available from: https://submit-etda.libraries.psu.edu/catalog/16255exh963.

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

Council of Science Editors:

Hadjicosta E. Integral Transform Methods in Goodness-of-Fit Testing. [Thesis]. Penn State University; 2019. Available from: https://submit-etda.libraries.psu.edu/catalog/16255exh963

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

Brno University of Technology

7. Lorenczyk, Jiří. Aplikace Besselových funkcí: Application of Bessel functions.

Degree: 2019, Brno University of Technology

URL: http://hdl.handle.net/11012/61081

► The purpose of this work is the introduction to the theory of Bessel differential equation and Bessel functions and its application to the problem of… (more)

Subjects/Keywords: Besselova diferenciální rovnice; Besselovy funkce; Neumannovy funkce; Hankelovy funkce; Gama funkce; kmitání kruhové desky; Bessel Differential Equation; Bessel functions; Neumann functions; Hankel functions; Gamma function; vibration of a circular plate

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

APA (6^th Edition):

Lorenczyk, J. (2019). Aplikace Besselových funkcí: Application of Bessel functions. (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/61081

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):

Lorenczyk, Jiří. “Aplikace Besselových funkcí: Application of Bessel functions.” 2019. Thesis, Brno University of Technology. Accessed April 16, 2021. http://hdl.handle.net/11012/61081.

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

MLA Handbook (7^th Edition):

Lorenczyk, Jiří. “Aplikace Besselových funkcí: Application of Bessel functions.” 2019. Web. 16 Apr 2021.

Vancouver:

Lorenczyk J. Aplikace Besselových funkcí: Application of Bessel functions. [Internet] [Thesis]. Brno University of Technology; 2019. [cited 2021 Apr 16]. Available from: http://hdl.handle.net/11012/61081.

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

Council of Science Editors:

Lorenczyk J. Aplikace Besselových funkcí: Application of Bessel functions. [Thesis]. Brno University of Technology; 2019. Available from: http://hdl.handle.net/11012/61081

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

Brno University of Technology

8. Poliak, Juraj. Vliv optických prvků na vyzařovaný laserový svazek: Effect of optical elements on transmitted laser beam.

Degree: 2019, Brno University of Technology

URL: http://hdl.handle.net/11012/21091

► Master's thesis deals with scalar diffraction theory and introduces an important solution of wave equation – elliptically symetrical Gaussian beam. In practical part, two approaches… (more)

Subjects/Keywords: Difrakcia; Eliptický Gaussov zväzok; Fresnelov integrál; Fourierova transformácia; Besselova funkcia; Diraction; Elliptical Gaussian beam; Fresnel integral; Fourier transform; Bessel function

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APA (6^th Edition):

Poliak, J. (2019). Vliv optických prvků na vyzařovaný laserový svazek: Effect of optical elements on transmitted laser beam. (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/21091

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):

Poliak, Juraj. “Vliv optických prvků na vyzařovaný laserový svazek: Effect of optical elements on transmitted laser beam.” 2019. Thesis, Brno University of Technology. Accessed April 16, 2021. http://hdl.handle.net/11012/21091.

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

MLA Handbook (7^th Edition):

Poliak, Juraj. “Vliv optických prvků na vyzařovaný laserový svazek: Effect of optical elements on transmitted laser beam.” 2019. Web. 16 Apr 2021.

Vancouver:

Poliak J. Vliv optických prvků na vyzařovaný laserový svazek: Effect of optical elements on transmitted laser beam. [Internet] [Thesis]. Brno University of Technology; 2019. [cited 2021 Apr 16]. Available from: http://hdl.handle.net/11012/21091.

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

Council of Science Editors:

Poliak J. Vliv optických prvků na vyzařovaný laserový svazek: Effect of optical elements on transmitted laser beam. [Thesis]. Brno University of Technology; 2019. Available from: http://hdl.handle.net/11012/21091

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

University of Georgia

9. Ye, Jun. Geostatistical methods for spatio-temporal analysis of fMRI data.

Degree: 2014, University of Georgia

URL: http://hdl.handle.net/10724/25096

► In this dissertation, I discuss and propose several geostatistical methods for functional Magnetic Resonance Imaging (fMRI) data. Geostatistics is a branch of applied statistics that… (more)

▼ In this dissertation, I discuss and propose several geostatistical methods for functional Magnetic Resonance Imaging (fMRI) data. Geostatistics is a branch of applied statistics that focuses on providing quantitative descriptions of natural variables distributed in space or in time and space. Nowadays geostatistics is popular in many ¯elds of science such as mining, environmental sciences, remote sensing and ecology. Functional Magnetic Resonance Imaging (fMRI) is a relatively new non-invasive technique for studying the workings of the active human brain. To date there has not been much work using geostatistical methods to analyze the brain in spite of the similarities of data types and questions of interest. Some recent exceptions are Spence et al. (2007), who used the variogram function to ¯nd neighbors of voxels of interest and Bowman (2007), who used the empirical variogram to de¯ne the spatial distance structure. My dissertation topic is applying geostatistical methods more broadly in fMRI data analysis. There are three interrelated parts in geostatistics: Classi¯cation, Structural analysis, and Kriging. My research explores these three parts in detail as they apply to fMRI. In clustering, I use geostatistical methods and sparse principal component analysis to analyze the fMRI data and establish a special clustering method for fMRI data time series; my results show that both techniques can e®ectively identify regions of similar activations. A byproduct of my analysis is the ¯nding that masking prior to clustering, as is commonly done in fMRI, may degrade the quality of the discovered clusters, and I o®er an explanation for this phenomenon. In structural analysis, I ¯rst introduce an alternative point of view of an axial image of the brain based on the empirical variograms during di®erent time points, which gives a good understanding of how the brain reacts to the experimental task. I then deal with the variogram modeling of the same axial image, and use parametric and nonparametric hole e®ect models to look at the spatial character of the data. The models I use consider both physical and functional relations among the di®erent parts of the brain, which distinguishes them from previous attempts to use variograms in fMRI. I show the e®ectiveness of the hole e®ect model compared with the regular monotonical model in describing the structure of the fMRI data. In kriging, I choose ¯ltered kriging as an alternative to spline smoothing to remove the measurement errors at the observed sites of the data, and maintain temporal consistency by controlling the noise to signal ratio of the smoothness { an idea borrowed from the smoothing function approach. This proposed new method incorporates combining both spatial and temporal information of the data into the smoothing procedure and can reduce the noise of the data in an intelligent way.

Subjects/Keywords: Autocorrelation; Bessel function; cross-correlation; elastic net; functional neuroimaging; LASSO; hole effect; signal-to-noise ratio; smoothing ratio; thin-plate spline

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APA (6^th Edition):

Ye, J. (2014). Geostatistical methods for spatio-temporal analysis of fMRI data. (Thesis). University of Georgia. Retrieved from http://hdl.handle.net/10724/25096

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):

Ye, Jun. “Geostatistical methods for spatio-temporal analysis of fMRI data.” 2014. Thesis, University of Georgia. Accessed April 16, 2021. http://hdl.handle.net/10724/25096.

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

MLA Handbook (7^th Edition):

Ye, Jun. “Geostatistical methods for spatio-temporal analysis of fMRI data.” 2014. Web. 16 Apr 2021.

Vancouver:

Ye J. Geostatistical methods for spatio-temporal analysis of fMRI data. [Internet] [Thesis]. University of Georgia; 2014. [cited 2021 Apr 16]. Available from: http://hdl.handle.net/10724/25096.

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

Council of Science Editors:

Ye J. Geostatistical methods for spatio-temporal analysis of fMRI data. [Thesis]. University of Georgia; 2014. Available from: http://hdl.handle.net/10724/25096

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

Université de Montréal

10. Lavoie, Guillaume. Croissance des fonctions propres du laplacien sur un domaine circulaire.

Degree: 2011, Université de Montréal

URL: http://hdl.handle.net/1866/6851

Subjects/Keywords: Laplacian; Spectral theory; Bessel function; Disk; Laplacien; Théorie spectral; Fonction de Bessel; Disque; Mathematics / Mathématiques (UMI : 0405)

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APA (6^th Edition):

Lavoie, G. (2011). Croissance des fonctions propres du laplacien sur un domaine circulaire. (Thesis). Université de Montréal. Retrieved from http://hdl.handle.net/1866/6851

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):

Lavoie, Guillaume. “Croissance des fonctions propres du laplacien sur un domaine circulaire.” 2011. Thesis, Université de Montréal. Accessed April 16, 2021. http://hdl.handle.net/1866/6851.

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

MLA Handbook (7^th Edition):

Lavoie, Guillaume. “Croissance des fonctions propres du laplacien sur un domaine circulaire.” 2011. Web. 16 Apr 2021.

Vancouver:

Lavoie G. Croissance des fonctions propres du laplacien sur un domaine circulaire. [Internet] [Thesis]. Université de Montréal; 2011. [cited 2021 Apr 16]. Available from: http://hdl.handle.net/1866/6851.

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

Council of Science Editors:

Lavoie G. Croissance des fonctions propres du laplacien sur un domaine circulaire. [Thesis]. Université de Montréal; 2011. Available from: http://hdl.handle.net/1866/6851

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

11. Vidanović Mirjana. Sumiranje redova sa specijalnim funkcijama.

Degree: 2003, University of Novi Sad

URL: https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija159679459937818.pdf?controlNumber=(BISIS)73367&fileName=159679459937818.pdf&id=16402&source=OATD&language=en ; https://www.cris.uns.ac.rs/record.jsf?recordId=73367&source=OATD&language=en

►

Disertacija se bavi sumiranjem redova sa specijalnim funkcijama. Ovi redovi se posredstvom trigonometrijskih redova svode na redove sa Riemannovom zeta funkcijom i srodnim funkcijama.… (more)

Subjects/Keywords: Specijalne funkcije, sumiranje redova, Besselova funkcija, Riemannova zeta funkcija; Special functions, summation of series, Bessel function, Riemann zeta function

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APA (6^th Edition):

Mirjana, V. (2003). Sumiranje redova sa specijalnim funkcijama. (Thesis). University of Novi Sad. Retrieved from https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija159679459937818.pdf?controlNumber=(BISIS)73367&fileName=159679459937818.pdf&id=16402&source=OATD&language=en ; https://www.cris.uns.ac.rs/record.jsf?recordId=73367&source=OATD&language=en

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):

Mirjana, Vidanović. “Sumiranje redova sa specijalnim funkcijama.” 2003. Thesis, University of Novi Sad. Accessed April 16, 2021. https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija159679459937818.pdf?controlNumber=(BISIS)73367&fileName=159679459937818.pdf&id=16402&source=OATD&language=en ; https://www.cris.uns.ac.rs/record.jsf?recordId=73367&source=OATD&language=en.

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

MLA Handbook (7^th Edition):

Mirjana, Vidanović. “Sumiranje redova sa specijalnim funkcijama.” 2003. Web. 16 Apr 2021.

Vancouver:

Mirjana V. Sumiranje redova sa specijalnim funkcijama. [Internet] [Thesis]. University of Novi Sad; 2003. [cited 2021 Apr 16]. Available from: https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija159679459937818.pdf?controlNumber=(BISIS)73367&fileName=159679459937818.pdf&id=16402&source=OATD&language=en ; https://www.cris.uns.ac.rs/record.jsf?recordId=73367&source=OATD&language=en.

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

Council of Science Editors:

Mirjana V. Sumiranje redova sa specijalnim funkcijama. [Thesis]. University of Novi Sad; 2003. Available from: https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija159679459937818.pdf?controlNumber=(BISIS)73367&fileName=159679459937818.pdf&id=16402&source=OATD&language=en ; https://www.cris.uns.ac.rs/record.jsf?recordId=73367&source=OATD&language=en

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

University of Florida

12. Carroll, Raymond Bernard, 1971-. An orthogonal series approach to positron emission tomography.

Degree: PhD, Mathematics, 1998, University of Florida

URL: https://ufdc.ufl.edu/AA00040693

Subjects/Keywords: Algorithms; Bessel functions; Mathematical variables; Orthogonality; Pets; Photons; Polynomials; Positron emission tomography; Series expansion; Sine function

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APA (6^th Edition):

Carroll, Raymond Bernard, 1. (1998). An orthogonal series approach to positron emission tomography. (Doctoral Dissertation). University of Florida. Retrieved from https://ufdc.ufl.edu/AA00040693

Chicago Manual of Style (16^th Edition):

Carroll, Raymond Bernard, 1971-. “An orthogonal series approach to positron emission tomography.” 1998. Doctoral Dissertation, University of Florida. Accessed April 16, 2021. https://ufdc.ufl.edu/AA00040693.

MLA Handbook (7^th Edition):

Carroll, Raymond Bernard, 1971-. “An orthogonal series approach to positron emission tomography.” 1998. Web. 16 Apr 2021.

Vancouver:

Carroll, Raymond Bernard 1. An orthogonal series approach to positron emission tomography. [Internet] [Doctoral dissertation]. University of Florida; 1998. [cited 2021 Apr 16]. Available from: https://ufdc.ufl.edu/AA00040693.

Council of Science Editors:

Carroll, Raymond Bernard 1. An orthogonal series approach to positron emission tomography. [Doctoral Dissertation]. University of Florida; 1998. Available from: https://ufdc.ufl.edu/AA00040693

Brno University of Technology

13. Sovadina, Václav. Adaptivní antialiasingový kmitočtový filtr: Adaptive antialiasing frequency filter.

Degree: 2019, Brno University of Technology

URL: http://hdl.handle.net/11012/2938

► The aim of this project is to become acquainted with the Bessel approximation function and to present the possible connections of the adaptive antialiasing filter.… (more)

Subjects/Keywords: Antialiasingový filtr; Besselova aproximační funkce; dolní propust; Brutonova transformace; RCD filtr; elektronické ladění; digitální potenciometr; sběrnice SPI; Atmega16(L); Antialiasing filter; Bessel approximation function; low-pass filter; Bruton’s transform; RCD filter; electronic debugging; digital potentiometer; SPI bus; Atmega16(L)

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APA (6^th Edition):

Sovadina, V. (2019). Adaptivní antialiasingový kmitočtový filtr: Adaptive antialiasing frequency filter. (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/2938

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):

Sovadina, Václav. “Adaptivní antialiasingový kmitočtový filtr: Adaptive antialiasing frequency filter.” 2019. Thesis, Brno University of Technology. Accessed April 16, 2021. http://hdl.handle.net/11012/2938.

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

MLA Handbook (7^th Edition):

Sovadina, Václav. “Adaptivní antialiasingový kmitočtový filtr: Adaptive antialiasing frequency filter.” 2019. Web. 16 Apr 2021.

Vancouver:

Sovadina V. Adaptivní antialiasingový kmitočtový filtr: Adaptive antialiasing frequency filter. [Internet] [Thesis]. Brno University of Technology; 2019. [cited 2021 Apr 16]. Available from: http://hdl.handle.net/11012/2938.

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

Council of Science Editors:

Sovadina V. Adaptivní antialiasingový kmitočtový filtr: Adaptive antialiasing frequency filter. [Thesis]. Brno University of Technology; 2019. Available from: http://hdl.handle.net/11012/2938

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

14. Dixit, Atul. Transformation formulas associated with integrals involving the Riemann Ξ-function and rank-crank type PDEs in partition theory.

Degree: PhD, 0439, 2012, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/34352

► There are two parts to this thesis. The first part deals with obtaining ``modular''-type transformation formulas involving various special functions such as the digamma function,… (more)

▼ There are two parts to this thesis. The first part deals with obtaining ``modular''-type transformation formulas involving various special functions such as the digamma function, Hurwitz zeta function and modified Bessel functions, through integrals involving the Riemann Ξ-function. Our motivation is a beautiful formula involving the digamma and the Riemann Ξ-functions found on page 220 in the volume ``Ramanujan's lost notebook and other unpublished papers''. In Chapter 2, we give two different proofs of this result, the second one being implicitly sought by A.P.~Guinand while rediscovering this result. However, Guinand only partially rediscovered it in the sense that he did not see the connection with the integral involving the Riemann Ξ-function. A simple and cute, yet very useful, trick based upon the invariance of this integral under a certain map is used to provide the proof of the complete identity of Ramanujan. From Chapter 3 onwards, we consider general integrals involving the Riemann Ξ-function and evaluate these using Mellin transforms and residue calculus. Then we use the above-mentioned trick to obtain modular transformation formulas. This provides a very convenient way of generating these formulas without using Poisson summation or Fourier transforms. Chapter 3 is devoted to transformation formulas of the type F(α)=F(β), where αβ=1. Here, we unify many well-known formulas in the literature such as Koshliakov's formula, Hardy's formula, Ferrar's formula and, of course, Ramanujan's above transformation formula, in the sense that all of them can be generated in similar ways starting from the general integral involving the Riemann Ξ-function. This also leads us to extended versions of Koshliakov's formula and Ferrar's formula. In Chapter 4, we study one-parameter generalizations of the extended versions of Koshliakov's and Ramanujan's formulas from Chapter 3, i.e., we obtain formulas of the type F(z,α)=F(z,β), where αβ=1. In this case, we need to consider integrals involving a product of two Riemann Ξ-functions, the prototypical example of which was given by Ramanujan in his paper ``New expressions for Riemann's functions ξ(s) and Ξ(t)''. Here we obtain a new proof as well as an extended version of the Ramanujan-Guinand formula. Also, Ramanujan's formula is generalized to a new one involving the Hurwitz zeta function. New analogues of this generalization are also obtained. Furthermore, we end this chapter by discussing proofs of two of the three transformation formulas involving the Hurwitz zeta function through special functions and without using contour integration and Mellin transforms. The proofs require certain identitites of Ramanujan from the above-referred paper. However, two identities in the paper are incorrect. Here, we derive correct versions of the same. Chapter 5 is devoted to analogues of some of the results from Chapters 3 and 4 for primitive Dirichlet characters. These are of the form F(z,… Advisors/Committee Members: Berndt, Bruce C. (advisor), Kevin Ford (Committee Chair), Berndt, Bruce C. (committee member), Stolarsky, Kenneth B. (committee member), Hildebrand, A.J. (committee member).

Subjects/Keywords: Ramanujan; Riemann zeta function; Hurwitz zeta function; Bessel function; Koshliakov; Hardy; Ferrar; Rank-Crank partial differential equation (Rank-Crank PDE); Partition; $q$-series; Eisenstein series; Appell function

…deriving transformation formulas from integrals involving the Riemann Ξ-function… …3.3 General integral involving the Riemann Ξ-function . . . . . . . . . . . . . . . 3.4… …x29; 49 4.2 Modular transformation formulas involving the Hurwitz zeta function through… …modular transformations involving the Hurwitz zeta function . . . . 61 4.5 Extended version of… …Character analogues of the general integral involving the Riemann Ξ-function…

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

APA (6^th Edition):

Dixit, A. (2012). Transformation formulas associated with integrals involving the Riemann Ξ-function and rank-crank type PDEs in partition theory. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/34352

Chicago Manual of Style (16^th Edition):

Dixit, Atul. “Transformation formulas associated with integrals involving the Riemann Ξ-function and rank-crank type PDEs in partition theory.” 2012. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed April 16, 2021. http://hdl.handle.net/2142/34352.

MLA Handbook (7^th Edition):

Dixit, Atul. “Transformation formulas associated with integrals involving the Riemann Ξ-function and rank-crank type PDEs in partition theory.” 2012. Web. 16 Apr 2021.

Vancouver:

Dixit A. Transformation formulas associated with integrals involving the Riemann Ξ-function and rank-crank type PDEs in partition theory. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2012. [cited 2021 Apr 16]. Available from: http://hdl.handle.net/2142/34352.

Council of Science Editors:

Dixit A. Transformation formulas associated with integrals involving the Riemann Ξ-function and rank-crank type PDEs in partition theory. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2012. Available from: http://hdl.handle.net/2142/34352

Australian National University

15. Lu, Kevin Weichao. Weak Subordination of Multivariate Lévy Processes .

Degree: 2018, Australian National University

URL: http://hdl.handle.net/1885/148680

► Based on the idea of constructing a time-changed process, strong subordination is the operation that evaluates a multivariate Lévy process at a multivariate subordinator. This… (more)

▼ Based on the idea of constructing a time-changed process, strong subordination is the operation that evaluates a multivariate Lévy process at a multivariate subordinator. This produces a Lévy process again when the subordinate has independent components or the subordinator has indistinguishable components, otherwise we prove that it does not in a wide range of cases. A new operation known as weak subordination is introduced, acting on multivariate Lévy processes and multivariate subordinators, to extend this idea in a way that always produces a Lévy process, even when the subordinate has dependent components. We show that weak subordination matches strong subordination in law in the previously mentioned cases where the latter produces a Lévy process. In addition, we give the characteristics of weak subordination, and prove sample path properties, moment formulas and marginal component consistency. We also give distributional representations for weak subordination with ray subordinators, a superposition of independent subordinators, subordinators having independent components and subordinators having monotonic components. The variance generalised gamma convolution class, formed by strongly subordinating Brownian motion with Thorin subordinators, is further extended using weak subordination. For these weak variance generalised gamma convolutions, we derive characteristics, including a formula for their Lévy measure in terms of that of a variance-gamma process, and prove sample path properties. As an example of a weak variance generalised gamma convolution, we construct a weak subordination counterpart to the variance-alpha-gamma process of Semeraro. For these weak variance-alpha-gamma processes, we derive characteristics, show that they are a superposition of independent variance-gamma processes and compare three calibration methods: method of moments, maximum likelihood and digital moment estimation. As the density function is not explicitly known for maximum likelihood, we derive a Fourier invertibility condition. We show in simulations that maximum likelihood produces a better fit when this condition holds, while digital moment estimation is better when it does not. Also, weak variance-alpha-gamma processes exhibit a wider range of dependence structures and produces a significantly better fit than variance-alpha-gamma processes for the log returns of an S&P500-FTSE100 data set, and digital moment estimation has the best fit in this situation. Lastly, we study the self-decomposability of weak variance generalised gamma convolutions. Specifically, we prove that a driftless Brownian motion gives rise to a self-decomposable process, and when some technical conditions on the underlying Thorin measure are satisfied, that this is also necessary. Our conditions improve and…

Subjects/Keywords: Brownian motion; gamma process; Lévy process; subordination; weak subordination; marked Poisson point process; variance-gamma; variance-alpha-gamma; weak variance-alpha-gamma; Thorin measure; generalised gamma convolution; variance generalised gamma convolution; log return; Fourier inversion; method of moments; maximum likelihood estimation; digital moment estimation; self-decomposability; Bessel function

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

APA (6^th Edition):

Lu, K. W. (2018). Weak Subordination of Multivariate Lévy Processes . (Thesis). Australian National University. Retrieved from http://hdl.handle.net/1885/148680

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):

Lu, Kevin Weichao. “Weak Subordination of Multivariate Lévy Processes .” 2018. Thesis, Australian National University. Accessed April 16, 2021. http://hdl.handle.net/1885/148680.

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

MLA Handbook (7^th Edition):

Lu, Kevin Weichao. “Weak Subordination of Multivariate Lévy Processes .” 2018. Web. 16 Apr 2021.

Vancouver:

Lu KW. Weak Subordination of Multivariate Lévy Processes . [Internet] [Thesis]. Australian National University; 2018. [cited 2021 Apr 16]. Available from: http://hdl.handle.net/1885/148680.

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

Council of Science Editors:

Lu KW. Weak Subordination of Multivariate Lévy Processes . [Thesis]. Australian National University; 2018. Available from: http://hdl.handle.net/1885/148680

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

16. Καλογήρου, Ευστράτιος. Συγκριτική αξιολόγηση μαθηματικών προτύπων προσδιορισμού φυσικοχημικών μεγεθών που αφορούν την αέρια ρύπανση με αντίστροφη αεριο-χρωματογραφία.

Degree: 2001, National Technical University of Athens (NTUA); Εθνικό Μετσόβιο Πολυτεχνείο (ΕΜΠ)

URL: http://hdl.handle.net/10442/hedi/16649

►

The Reversed Flow - Gas Chromatography Technique (RF-GC) is a modified Gas Chromatographic method, in which, abandoning the main role of the carrier gas and… (more)

▼

The Reversed Flow - Gas Chromatography Technique (RF-GC) is a modified Gas Chromatographic method, in which, abandoning the main role of the carrier gas and replacing it by gaseous diffusion currents, one can measure simultaneously kinetic physicochemical quantities, adsorption energies and related parameters. This can be done in a simple way, using suitable non linear mathematical models and the experimental data. The purpose of this dissertation is the mathematical modelling and especially the comparative valuation of the different mathematical models of the RF-GC method applied in the action of air pollutants on solids in the laboratory scale, which are analytically (not numerically) solved for the determination of kinetic physicochemical quantities pertaining to the adsorption/desorption phenomena, adsorption energies, local adsorption isotherms, local monolayer capacities, and probability density functions for the adsorption energies, all belonging to time-resolved Chemistry. The RF-GC method experimentally consists of a commercial gas chromatograph with a suitable detector, slightly modified to include a sampling column of stainless steel chromatographic tube of 4 mm I.D. placed inside the chromatograph oven, a diffusion column either with its wall covered by solid material (denuder coating) or partly filled with solid particles forming a solid bed. It is connected perpedicular to the sampling column, around the middle of the latter. The reversing of the direction of the carrier gas flow occurs only in the sampling column, while in a separation column the carrier gas flows only in one direction (with a volumetric flow-rate of about 30 cm3/min). No carrier gas flows through the diffusion column and the solid bed, both of these being filled with a stagnant film of the carrier gas. Through the injector a small amount of the probe gas or vapor A (0.5-1 cm3 under atmospheric pressure) is introduced and then one makes repeated flow-reversals (every 2-4 minutes) of short duration (10-30 s) of the carrier gas (air, nitrogen or helium) and finally the flow is restored to it’s original direction. This time of each reversal is shorter than the gas hold-up time in the sampling column sections. The carrier gas takes the vapors of the air pollutants, via a four-port valve, to the detector. Finally, one obtains in the recorder a series of narrow, fairly symmetrical sample peaks of considerable height H above the continuous chromatographic signal, depending on the time t when the flow reversal was made. The height H of each peak is proportional to the concentration in the sampling point of the sampling column. It’s half height width is equal to the duration of the flow reversal.

To αντικείμενο της παρούσας διδακτορικής διατριβής είναι η μαθηματική μοντελοποίηση και ειδικότερα, η συγκριτική αξιολόγηση των διαφόρων μαθηματικών προτύπων, που έχουν χρησιμοποιηθεί για τον προσδιορισμό σημαντικών φυσικοχημικών μεγεθών, με μία μορφή αντίστροφης αεριο-χρωματογραφίας, την RF-GC. H RF-GC είναι μία…

Subjects/Keywords: Μαθηματικό πρότυπο; Αντίστροφη αεριοχρωματογραφία; Ισόθερμος προσρόφησης; Σταθερά ταχύτητας προσρόφησης, εκρόφησης; Σταθερά ταχύτητας αντίδρασης; Τάξη αντίδρασης; Ενέργεια προσρόφησης; Διαφορική εξίσωση Bessel; Συνάρτηση πυκνότητας πιθανότητας; Αναλυτική επίλυση διαφορικών εξισώσεων; Mathematical model; Inverse gas chromatography; Adsorption isotherms; Rate constants; Reaction orders; Adsorption energy; Probability density function; Analytical solution of partial differential equations; Bessel differential equation

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

APA (6^th Edition):

Καλογήρου, . �. (2001). Συγκριτική αξιολόγηση μαθηματικών προτύπων προσδιορισμού φυσικοχημικών μεγεθών που αφορούν την αέρια ρύπανση με αντίστροφη αεριο-χρωματογραφία. (Thesis). National Technical University of Athens (NTUA); Εθνικό Μετσόβιο Πολυτεχνείο (ΕΜΠ). Retrieved from http://hdl.handle.net/10442/hedi/16649

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):

Καλογήρου, Ευστράτιος. “Συγκριτική αξιολόγηση μαθηματικών προτύπων προσδιορισμού φυσικοχημικών μεγεθών που αφορούν την αέρια ρύπανση με αντίστροφη αεριο-χρωματογραφία.” 2001. Thesis, National Technical University of Athens (NTUA); Εθνικό Μετσόβιο Πολυτεχνείο (ΕΜΠ). Accessed April 16, 2021. http://hdl.handle.net/10442/hedi/16649.

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

MLA Handbook (7^th Edition):

Καλογήρου, Ευστράτιος. “Συγκριτική αξιολόγηση μαθηματικών προτύπων προσδιορισμού φυσικοχημικών μεγεθών που αφορούν την αέρια ρύπανση με αντίστροφη αεριο-χρωματογραφία.” 2001. Web. 16 Apr 2021.

Vancouver:

Καλογήρου �. Συγκριτική αξιολόγηση μαθηματικών προτύπων προσδιορισμού φυσικοχημικών μεγεθών που αφορούν την αέρια ρύπανση με αντίστροφη αεριο-χρωματογραφία. [Internet] [Thesis]. National Technical University of Athens (NTUA); Εθνικό Μετσόβιο Πολυτεχνείο (ΕΜΠ); 2001. [cited 2021 Apr 16]. Available from: http://hdl.handle.net/10442/hedi/16649.

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

Council of Science Editors:

Καλογήρου �. Συγκριτική αξιολόγηση μαθηματικών προτύπων προσδιορισμού φυσικοχημικών μεγεθών που αφορούν την αέρια ρύπανση με αντίστροφη αεριο-χρωματογραφία. [Thesis]. National Technical University of Athens (NTUA); Εθνικό Μετσόβιο Πολυτεχνείο (ΕΜΠ); 2001. Available from: http://hdl.handle.net/10442/hedi/16649

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

Queensland University of Technology

17. Pesee, Chatchai. Stochastic modelling of financial processes with memory and semi-heavy tails.

Degree: 2005, Queensland University of Technology

URL: https://eprints.qut.edu.au/16057/

► This PhD thesis aims to study financial processes which have semi-heavy-tailed marginal distributions and may exhibit memory. The traditional Black-Scholes model is expanded to incorporate… (more)

▼ This PhD thesis aims to study financial processes which have semi-heavy-tailed marginal distributions and may exhibit memory. The traditional Black-Scholes model is expanded to incorporate memory via an integral operator, resulting in a class of market models which still preserve the completeness and arbitragefree conditions needed for replication of contingent claims. This approach is used to estimate the implied volatility of the resulting model. The first part of the thesis investigates the semi-heavy-tailed behaviour of financial processes. We treat these processes as continuous-time random walks characterised by a transition probability density governed by a fractional Riesz- Bessel equation. This equation extends the Feller fractional heat equation which generates a-stable processes. These latter processes have heavy tails, while those processes generated by the fractional Riesz-Bessel equation have semi-heavy tails, which are more suitable to model financial data. We propose a quasi-likelihood method to estimate the parameters of the fractional Riesz- Bessel equation based on the empirical characteristic function. The second part considers a dynamic model of complete financial markets in which the prices of European calls and puts are given by the Black-Scholes formula. The model has memory and can distinguish between historical volatility and implied volatility. A new method is then provided to estimate the implied volatility from the model. The third part of the thesis considers the problem of classification of financial markets using high-frequency data. The classification is based on the measure representation of high-frequency data, which is then modelled as a recurrent iterated function system. The new methodology developed is applied to some stock prices, stock indices, foreign exchange rates and other financial time series of some major markets. In particular, the models and techniques are used to analyse the SET index, the SET50 index and the MAI index of the Stock Exchange of Thailand.

Subjects/Keywords: Alpha stable distribution; L´evy distribution; the Feller fractional heat equation; the Riesz-Bessel distribution; volatility; the Anh-Inoue model; the tick test; recurrent iterated function systems; memory; semi-heavy tails; long-range dependence; fractional Brownian motion

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

APA (6^th Edition):

Pesee, C. (2005). Stochastic modelling of financial processes with memory and semi-heavy tails. (Thesis). Queensland University of Technology. Retrieved from https://eprints.qut.edu.au/16057/

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):

Pesee, Chatchai. “Stochastic modelling of financial processes with memory and semi-heavy tails.” 2005. Thesis, Queensland University of Technology. Accessed April 16, 2021. https://eprints.qut.edu.au/16057/.

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

MLA Handbook (7^th Edition):

Pesee, Chatchai. “Stochastic modelling of financial processes with memory and semi-heavy tails.” 2005. Web. 16 Apr 2021.

Vancouver:

Pesee C. Stochastic modelling of financial processes with memory and semi-heavy tails. [Internet] [Thesis]. Queensland University of Technology; 2005. [cited 2021 Apr 16]. Available from: https://eprints.qut.edu.au/16057/.

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

Council of Science Editors:

Pesee C. Stochastic modelling of financial processes with memory and semi-heavy tails. [Thesis]. Queensland University of Technology; 2005. Available from: https://eprints.qut.edu.au/16057/

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

University of Florida

18. Vaghar, Mohammed Reza, 1965-. Stress analysis of superconducting magnets.

Degree: PhD, Aerospace Engineering, Mechanics, and Engineering Science, 1996, University of Florida

URL: https://ufdc.ufl.edu/AA00034659

Subjects/Keywords: Axial stress; Boundary conditions; Fourier Bessel transformations; Greens function; Magnetism; Magnets; Plane stress; Shear stress; Stress functions; Superconducting magnets; Green's functions; Strains and stresses – Mathematical models; City of Tallahassee ( local )

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

APA (6^th Edition):

Vaghar, Mohammed Reza, 1. (1996). Stress analysis of superconducting magnets. (Doctoral Dissertation). University of Florida. Retrieved from https://ufdc.ufl.edu/AA00034659

Chicago Manual of Style (16^th Edition):

Vaghar, Mohammed Reza, 1965-. “Stress analysis of superconducting magnets.” 1996. Doctoral Dissertation, University of Florida. Accessed April 16, 2021. https://ufdc.ufl.edu/AA00034659.

MLA Handbook (7^th Edition):

Vaghar, Mohammed Reza, 1965-. “Stress analysis of superconducting magnets.” 1996. Web. 16 Apr 2021.

Vancouver:

Vaghar, Mohammed Reza 1. Stress analysis of superconducting magnets. [Internet] [Doctoral dissertation]. University of Florida; 1996. [cited 2021 Apr 16]. Available from: https://ufdc.ufl.edu/AA00034659.

Council of Science Editors:

Vaghar, Mohammed Reza 1. Stress analysis of superconducting magnets. [Doctoral Dissertation]. University of Florida; 1996. Available from: https://ufdc.ufl.edu/AA00034659

University of Otago

19. Lee, Au-Chen. Dipolar Bose-Einstein Condensate with a Vortex .

Degree: University of Otago

URL: http://hdl.handle.net/10523/9254

► We theoretically consider the properties of a dipolar Bose-Einstein condensate with a vortex. Our theory includes the influence of the leading order quantum fluctuation corrections… (more)

Subjects/Keywords: Bose-einstein condensates; BEC; nonlinear; condensate; Gross-Pitaevskii; nonlinear Schrödinger equation; vortices; Collective excitations; vortex self-bound droplets; dipolar BEC; dipolar quantum; quantum fluctuations; Bogoliubov-de Gennes; instability; quadrupolar modes; dynamical stability; dipole interaction; density approximation; dipolar Bose-Einstein condensate; quasi-particle excitations; vortex; Hankel Transformation; Bessel function; cosine transformation; Cylindrical; BdG; Bogoliubov-de Gennes Equation; numerical calculations; DDI; dipole-dipole interactions; phonon dispersion; dynamical instability; eigenvalue problem; eigenvector; imaginary time evolution; laplacian operator; GPE; Gross–Pitaevskii equation; zero-norm; Kohn modes; Bessel grid; DDIs; numerical techniques; dipolar; dipolar BECs; LHY term; local density treatment; vortex stationary states; Kelvin wave (helical) excitations; stabilized from collapse; quasi-particle; leading order quantum fluctuation correction; lanthanides dysprosium; dysprosium; Dy; s-wave interaction; many-body physics

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

APA (6^th Edition):

Lee, A. (n.d.). Dipolar Bose-Einstein Condensate with a Vortex . (Masters Thesis). University of Otago. Retrieved from http://hdl.handle.net/10523/9254

Note: this citation may be lacking information needed for this citation format:
No year of publication.

Chicago Manual of Style (16^th Edition):

Lee, Au-Chen. “Dipolar Bose-Einstein Condensate with a Vortex .” Masters Thesis, University of Otago. Accessed April 16, 2021. http://hdl.handle.net/10523/9254.

Note: this citation may be lacking information needed for this citation format:
No year of publication.

MLA Handbook (7^th Edition):

Lee, Au-Chen. “Dipolar Bose-Einstein Condensate with a Vortex .” Web. 16 Apr 2021.

Note: this citation may be lacking information needed for this citation format:
No year of publication.

Vancouver:

Lee A. Dipolar Bose-Einstein Condensate with a Vortex . [Internet] [Masters thesis]. University of Otago; [cited 2021 Apr 16]. Available from: http://hdl.handle.net/10523/9254.

Note: this citation may be lacking information needed for this citation format:
No year of publication.

Council of Science Editors:

Lee A. Dipolar Bose-Einstein Condensate with a Vortex . [Masters Thesis]. University of Otago; Available from: http://hdl.handle.net/10523/9254

Note: this citation may be lacking information needed for this citation format:
No year of publication.

University of Waterloo

20. El-Khatib, Mayar. Highway Development Decision-Making Under Uncertainty: Analysis, Critique and Advancement.

Degree: 2011, University of Waterloo

URL: http://hdl.handle.net/10012/5741

► While decision-making under uncertainty is a major universal problem, its implications in the field of transportation systems are especially enormous; where the benefits of right… (more)

Subjects/Keywords: highway development; decision making under uncertainty; real options; jump processes; infinitely divisible distributions; Lévy processes; measure theory; characteristic function; characteristic exponent; Lévy jump measure; probability measure; cádlág stochastic process; Wiener process; Poisson process; compound Poisson process; finite activity models; jump diffusion models; Merton model; Gaussian jump process; Kou model; double exponential jump process; leptokurtic; volatility smile; infinite activity models; pure jumps process; generalized hyperbolic model; modified Bessel function; negative inverse Gaussian model; geometric Brownian motion model; log-normal distribution model; normality assumption; heavy-tailed distribution; asymmetric distribution; quantile-quantile plot; Rydberg algorithm; parameter calibration; moments; cummulants; sum of squares; Monte Carlo simulation; least-squares regression; backward dynamic programming; discrete-time Markov chain; land price; traffic demand; highway service quality index; data collection; traffic volume; Annual Average Daily Traffic; Ontario Ministry of Transportation; Land Registry Office; Province of Ontario Land Registration and Information System; Freedom of Information Act; seasonality; value of transportation; types of transportation systems; importance of highway systems; transportation system development constraints; cost of wrong decisions; monetary cost; private sector cost; human cost; land expropriation; environmental cost; irreversibility cost factor; time cost factor; political cost factor; opportunity cost; opportunity cost of wrong decisions; economic cost of wrong decisions; economic cost of mis-estimation; economic profit of wrong decisions; cost of inaction; price of making right decisions; scope of decisions; rehabilitation decision; land acquisition decision; expansion decision; uncertainty modeling; land acquisition cost; expropriation cost; construction cost; material cost; Montréal-Mirabel International Airport; Pickering Airport; 407 Express Toll Route; Highway 407

Record Details Similar Records Cite « Share

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

APA (6^th Edition):

El-Khatib, M. (2011). Highway Development Decision-Making Under Uncertainty: Analysis, Critique and Advancement. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/5741

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):

El-Khatib, Mayar. “Highway Development Decision-Making Under Uncertainty: Analysis, Critique and Advancement.” 2011. Thesis, University of Waterloo. Accessed April 16, 2021. http://hdl.handle.net/10012/5741.

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

MLA Handbook (7^th Edition):

El-Khatib, Mayar. “Highway Development Decision-Making Under Uncertainty: Analysis, Critique and Advancement.” 2011. Web. 16 Apr 2021.

Vancouver:

El-Khatib M. Highway Development Decision-Making Under Uncertainty: Analysis, Critique and Advancement. [Internet] [Thesis]. University of Waterloo; 2011. [cited 2021 Apr 16]. Available from: http://hdl.handle.net/10012/5741.

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

Council of Science Editors:

El-Khatib M. Highway Development Decision-Making Under Uncertainty: Analysis, Critique and Advancement. [Thesis]. University of Waterloo; 2011. Available from: http://hdl.handle.net/10012/5741

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

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Open Access Theses and Dissertations