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Articles 1 - 8 of 8
Full-Text Articles in Physical Sciences and Mathematics
Ogden College Of Science & Engineering Newsletter (Fall 2015), Cheryl Stevens, Dean
Ogden College Of Science & Engineering Newsletter (Fall 2015), Cheryl Stevens, Dean
Ogden College of Science & Engineering Publications
No abstract provided.
Expectation Numbers Of Cyclic Groups, Miriam Mahannah El-Farrah
Expectation Numbers Of Cyclic Groups, Miriam Mahannah El-Farrah
Masters Theses & Specialist Projects
When choosing k random elements from a group the kth expectation number is the expected size of the subgroup generated by those specific elements. The main purpose of this thesis is to study the asymptotic properties for the first and second expectation numbers of large cyclic groups. The first chapter introduces the kth expectation number. This formula allows us to determine the expected size of any group. Explicit examples and computations of the first and second expectation number are given in the second chapter. Here we show example of both cyclic and dihedral groups. In chapter three we discuss arithmetic …
Ogden College Of Science & Engineering Newsletter (Summer 2015), Cheryl Stevens, Dean
Ogden College Of Science & Engineering Newsletter (Summer 2015), Cheryl Stevens, Dean
Ogden College of Science & Engineering Publications
No abstract provided.
Counting Convex Sets On Products Of Totally Ordered Sets, Brandy Amanda Barnette
Counting Convex Sets On Products Of Totally Ordered Sets, Brandy Amanda Barnette
Masters Theses & Specialist Projects
The main purpose of this thesis is to find the number of convex sets on a product of two totally ordered spaces. We will give formulas to find this number for specific cases and describe a process to obtain this number for all such spaces. In the first chapter we briefly discuss the motivation behind the work presented in this thesis. Also, the definitions and notation used throughout the paper are introduced here The second chapter starts with examining the product spaces of the form {1; 2; : : : ;n} × {1; 2}. That is, we begin by analyzing …
Analysis Of Discrete Fractional Operators And Discrete Fractional Rheological Models, Meltem Uyanik
Analysis Of Discrete Fractional Operators And Discrete Fractional Rheological Models, Meltem Uyanik
Masters Theses & Specialist Projects
This thesis is comprised of two main parts: Monotonicity results on discrete fractional operators and discrete fractional rheological constitutive equations. In the first part of the thesis, we introduce and prove new monotonicity concepts in discrete fractional calculus. In the remainder, we carry previous results about fractional rheological models to the discrete fractional case. The discrete method is expected to provide a better understanding of the concept than the continuous case as this has been the case in the past. In the first chapter, we give brief information about the main results. In the second chapter, we present some fundamental …
Boundary Problems For One And Two Dimensional Random Walks, Miky Wright
Boundary Problems For One And Two Dimensional Random Walks, Miky Wright
Masters Theses & Specialist Projects
This thesis provides a study of various boundary problems for one and two dimensional random walks. We first consider a one-dimensional random walk that starts at integer-valued height k > 0, with a lower boundary being the x-axis, and on each step moving downward with probability q being greater than or equal to the probability of going upward p. We derive the variance and the standard deviation of the number of steps T needed for the height to reach 0 from k, by first deriving the moment generating function of T. We then study two types of two-dimensional random walks with …
Ogden College Of Science & Engineering Newsletter (Spring 2015), Cheryl Stevens, Dean
Ogden College Of Science & Engineering Newsletter (Spring 2015), Cheryl Stevens, Dean
Ogden College of Science & Engineering Publications
No abstract provided.
Ogden College Of Science & Engineering Newsletter (Winter 2015), Cheryl Stevens, Dean
Ogden College Of Science & Engineering Newsletter (Winter 2015), Cheryl Stevens, Dean
Ogden College of Science & Engineering Publications
No abstract provided.