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Full-Text Articles in Mathematics
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 …
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 …