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Articles 1 - 11 of 11
Full-Text Articles in Physical Sciences and Mathematics
Cagan Type Rational Expectations Model On Time Scales With Their Applications To Economics, Funda Ekiz
Cagan Type Rational Expectations Model On Time Scales With Their Applications To Economics, Funda Ekiz
Masters Theses & Specialist Projects
Rational expectations provide people or economic agents making future decision with available information and past experiences. The first approach to the idea of rational expectations was given approximately fifty years ago by John F. Muth. Many models in economics have been studied using the rational expectations idea. The most familiar one among them is the rational expectations version of the Cagans hyperination model where the expectation for tomorrow is formed using all the information available today. This model was reinterpreted by Thomas J. Sargent and Neil Wallace in 1973. After that time, many solution techniques were suggested to solve the …
Higher Derivatives Of The Hurwitz Zeta Function, Jason Musser
Higher Derivatives Of The Hurwitz Zeta Function, Jason Musser
Masters Theses & Specialist Projects
The Riemann zeta function ζ(s) is one of the most fundamental functions in number theory. Euler demonstrated that ζ(s) is closely connected to the prime numbers and Riemann gave proofs of the basic analytic properties of the zeta function. Values of the zeta function and its derivatives have been studied by several mathematicians. Apostol in particular gave a computable formula for the values of the derivatives of ζ(s) at s = 0. The Hurwitz zeta function ζ(s,q) is a generalization of ζ(s). We modify Apostolʼs methods to find values of the derivatives of ζ(s,q) with respect to s at s …
Operation Comics: The Story Continues, Bruce Kessler, Janet Tassell, Tressa Tullis
Operation Comics: The Story Continues, Bruce Kessler, Janet Tassell, Tressa Tullis
Mathematics Faculty Publications
During the 2008-2009 academic year, the author K. wrote three issues of Operation Comics, a comic book with embedded mathematics content appropriate for 4th through 6th grade students. Several printed comics were placed in Cumberland Trace Elementary in the Warren County School System in Bowling Green, Kentucky, US. The author Ta. was enlisted to measure the impact of the comics on the attitudes and motivation of the students using the comics. A preliminary report was given by K. at the 2009 Bridges Banff Conference, and the written report appeared in the proceedings. Since then, data has been collected on the …
Implementation Of An Inexpensive 3d Scanner, Robert Michael Sivley
Implementation Of An Inexpensive 3d Scanner, Robert Michael Sivley
Mahurin Honors College Capstone Experience/Thesis Projects
The purpose of this project was to make 3D scanning technology accessible to the general public at an affordable price. To accomplish this, a scanner was designed that utilized structured-light projection. Coupled with triangulation, this provided an inexpensive, image-based modeling technique. Software was developed to analyze the required images and generate a 3D model. Users can edit analysis parameters during runtime to better optimize results for specific images. The 3D models generated are stored according to the .obj standard and can be opened in any commercial 3D modeling software. Results were positive, but several issues exist with the chosen scanning …
Deterministic And Stochastic Bellman's Optimality Principles On Isolated Time Domains And Their Applications In Finance, Nezihe Turhan
Deterministic And Stochastic Bellman's Optimality Principles On Isolated Time Domains And Their Applications In Finance, Nezihe Turhan
Masters Theses & Specialist Projects
The concept of dynamic programming was originally used in late 1949, mostly during the 1950s, by Richard Bellman to describe decision making problems. By 1952, he refined this to the modern meaning, referring specifically to nesting smaller decision problems inside larger decisions. Also, the Bellman equation, one of the basic concepts in dynamic programming, is named after him. Dynamic programming has become an important argument which was used in various fields; such as, economics, finance, bioinformatics, aerospace, information theory, etc. Since Richard Bellman's invention of dynamic programming, economists and mathematicians have formulated and solved a huge variety of sequential decision …
Development Of Fractional Trigonometry And An Application Of Fractional Calculus To Pharmacokinetic Model, Amera Almusharrf
Development Of Fractional Trigonometry And An Application Of Fractional Calculus To Pharmacokinetic Model, Amera Almusharrf
Masters Theses & Specialist Projects
No abstract provided.
Wavelet-Based Analysis Of Neutron-Induced Photon Spectral Data, Bruce Kessler, Alexander Barzilov, Phillip Womble
Wavelet-Based Analysis Of Neutron-Induced Photon Spectral Data, Bruce Kessler, Alexander Barzilov, Phillip Womble
Mathematics Faculty Publications
Neutron-based methods of non-destructive inter- rogation of objects for the purpose of their characterization are well-established techniques, employed in the field of bulk material analysis, contraband detection, unexploded ordnance, etc. The characteristic gamma rays produced in nuclear reactions initiated by neutrons in the volume of the irradiated object (inelastic neutron scattering, thermal neutron capture, and activation) are used for the elemental identification. In many real-world applications, an automated spectral analysis is needed, and many algorithms are used for that purpose. The Applied Physics Institute at Western Kentucky University has recently started to employ a mathematical spectrum analysis technique based on …
King, John (Sc 594), Manuscripts & Folklife Archives
King, John (Sc 594), Manuscripts & Folklife Archives
MSS Finding Aids
Finding aid and full-text (click on "Additional Files" below) for Manuscripts Small Collection 594. Ciphering book of John King including mathematical exercises, numeration of money, simple and compound reduction, weights and measures, and word problems.
Bowles, John (Sc 593), Manuscripts & Folklife Archives
Bowles, John (Sc 593), Manuscripts & Folklife Archives
MSS Finding Aids
Finding aid and full-text (click on "Additional Files" below) for Manuscripts Small Collection 593. Ciphering book kept by John Bowles of Granville County, North Carolina. Bowles used "Pike's Arithmetic" in making his ciphering book.
Curd, Spencer, 1788-1832 (Sc 966), Manuscripts & Folklife Archives
Curd, Spencer, 1788-1832 (Sc 966), Manuscripts & Folklife Archives
MSS Finding Aids
Finding aid and full text (click on "Additional Files" below) for Manuscripts Small Collection 966. Ciphering book (94 p.), focusing chiefly on surveying and navigating rules for solving problems as well as giving specific problems, of Spencer Curd, Logan County, Kentucky, with accompanying genealogical data.
Operation Comics: The Story Continues, Bruce Kessler, Janet Tassell, Tressa Tullis
Operation Comics: The Story Continues, Bruce Kessler, Janet Tassell, Tressa Tullis
Mathematics Faculty Publications
During the 2008-2009 academic year, the author K. wrote three issues of Operation Comics, a comic book with embedded mathematics content appropriate for 4th through 6th grade students. Several printed comics were placed in Cumberland Trace Elementary in the Warren County School System in Bowling Green, Kentucky, US. The author Ta. was enlisted to measure the impact of the comics on the attitudes and motivation of the students using the comics. A preliminary report was given by K. at the 2009 Bridges Banff Conference, and the written report appeared in the proceedings. Since then, data has been collected on the …