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Full-Text Articles in Physical Sciences and Mathematics

Low-Dimensional Reality-Based Algebras, Rachel Victoria Barber Jan 2016

Low-Dimensional Reality-Based Algebras, Rachel Victoria Barber

Online Theses and Dissertations

In this paper we introduce the definition of a reality-based algebra (RBA) as well as a subclass of reality-based algebras, table algebras. Using sesquilinear forms, we prove that a reality-based algebra is semisimple. We look at a specific reality-based algebra of dimension 5 and provide formulas for the structure constants of this algebra. We determine by looking at these structure constants and setting conditions on specific structural components when this particular reality-based algebra is a table algebra. In fact, this will be a noncommutative table algebra of dimension 5.


Wetland Condition Matters: Amphibian Richness And Abundance Change Across Wetland Condition Gradient, Kari Dupler Jan 2016

Wetland Condition Matters: Amphibian Richness And Abundance Change Across Wetland Condition Gradient, Kari Dupler

Online Theses and Dissertations

In the past century, Kentucky has lost more than 80% of its wetlands, and because state-wide monitoring was historically minimal, this number is likely underestimated. The Kentucky Division of Water, with Eastern Kentucky University and a technical working group, developed a rapid wetland assessment method (i.e. KY-WRAM) to assess wetland quality and aid in establishing mitigation levels and long-term monitoring. Validation of the KY-WRAM’s ability to reflect wetland condition requires comparison to intensive biotic assessments of amphibian, plant, and bird communities. Wetland and amphibian surveys for the 2014 and 2015 seasons were conducted at 42 riverine wetlands in the Kentucky …


Anthropogenic Influence On Blackfin Sucker (Thoburnia Atripinnis) Distribution, In The Upper Barren River System, Kentucky And Tennessee, Christa Rose Hurak Jan 2016

Anthropogenic Influence On Blackfin Sucker (Thoburnia Atripinnis) Distribution, In The Upper Barren River System, Kentucky And Tennessee, Christa Rose Hurak

Online Theses and Dissertations

We evaluated the effects of land use and cover on endemic blackfin sucker (Thoburnia atripinnis) catch per unit effort and abundance within the Upper Barren River (UBR) system, a priority conservation area, in south-central Kentucky. Anthropogenic impacts have rendered T. atripinnis a “species of greatest conservation need” by the Kentucky Department of Fish and Wildlife Resources. This study focused on determining if land use surrounding blackfin sucker sampling sites and certain physicochemical parameters could be impacting their inhabitance at these sites. Data collection and ground truthing occurred between September 2015 and June 2016. ArcGIS was used to extract land use …


Smallest Eigenvalues For A Fractional Boundary Value Problem With A Fractional Boundary Condition, Angela Koester Jan 2016

Smallest Eigenvalues For A Fractional Boundary Value Problem With A Fractional Boundary Condition, Angela Koester

Online Theses and Dissertations

We establish the existence of and then compare smallest eigenvalues for the fractional boundary value problems D_(0^+)^α u+λ_1 p(t)u=0 and $D_(0^+)^α u+λ_2 q(t)u=0,0< t< 1, satisfying the boundary conditions when n-1<α≤ n. First, we consider the case when 0<β


Assessing The Effects Of Prescribed Fire On Foraging Bats At Mammoth Cave National Park After The Arrival Of White-Nose Syndrome, Rachael Elizabeth Griffitts Jan 2016

Assessing The Effects Of Prescribed Fire On Foraging Bats At Mammoth Cave National Park After The Arrival Of White-Nose Syndrome, Rachael Elizabeth Griffitts

Online Theses and Dissertations

Habitat use of bats may shift following population level impacts of White-nose Syndrome (WNS). Multiple bat species have experienced unprecedented population declines due to WNS, including federally listed Myotis sodalis (Indiana bat) and Myotis septentrionalis (northern long-eared bat). Specifically, the effect of WNS across forest landscapes is unclear in relation to prescribed fire. Mammoth Cave National Park (MACA) has employed a prescribed fire regime since 2002 and WNS was detected on MACA in 2013. Bat activity was monitored across burned and unburned sites at MACA before (2010-2012) and after the detection of WNS (2013-2016) using transects of acoustic detectors (Anabat …


An Examination Of Intrinsic Existence Value Towards Wildlife Of Columbus Zoo And Aquariums Tourists: Evaluating The Impact Of Behind The Scenes Programming, Robert Maxwell Lakes Jan 2016

An Examination Of Intrinsic Existence Value Towards Wildlife Of Columbus Zoo And Aquariums Tourists: Evaluating The Impact Of Behind The Scenes Programming, Robert Maxwell Lakes

Online Theses and Dissertations

Changes in climate and the corresponding environmental issues are major concerns facing the world today. Human consumption, which is leading the rapid depletion of the earth’s finite resources and causing a dramatic loss of biodiversity, is largely to blame (Pearson, Lowry, Dorrian, & Litchfield, 2014). American zoos and aquariums are positioned to create positive experiential relationships between zoo tourists and animals that have the potential to positively change the zoo tourists’ conservation behaviors. Challenges to changing the conservation behaviors of zoo tourists are many. One particularly important challenge is conservation/environmental education. Zoos and aquariums aim to provide effective and quality …


Nemo's Plight: Political Economy, Green-Cultural Criminology, And Fish Abuse, Jordan Edward Mazurek Jan 2016

Nemo's Plight: Political Economy, Green-Cultural Criminology, And Fish Abuse, Jordan Edward Mazurek

Online Theses and Dissertations

Using the Marine Aquarium Fish Trade as a case study, I propose an integrated theoretical framework in green criminology that strengthens the political economic "treadmill of production" theory (see Lynch et al., 2013) by incorporating an analysis of the "cultural grease" that ensures the treadmill’s smooth operation. Choosing fish as a subject matter, though, requires challenging the "thoroughgoing speciesism" (Beirne, 1999) inherent in the mammalian-centric animal abuse literature. To do this I draw from research in marine biology and animal cognition to philosophically establish that fish are moral agents, "subjects-of-a-life" (Regan, 1983) on par with mammals and thus worthy of …


Biotic Assessment Of Two Central Kentucky Streams: Examining The Effects Of Wastewater Treatment And Anthropogenic Disturbance, Daniel John Ratterman Jan 2016

Biotic Assessment Of Two Central Kentucky Streams: Examining The Effects Of Wastewater Treatment And Anthropogenic Disturbance, Daniel John Ratterman

Online Theses and Dissertations

Globally, anthropogenic disturbance has altered many aquatic habitats, including lotic waters. Flowing, fresh water sustains life on Earth yet suffers the resulting waste products. Native, locally adapted ecosystems integrate or eliminate the byproducts of life. However an increase of human population, poor agricultural practices, accelerated overland runoff, a non-point source of pollution, and wastewater treatment plants (WTP), a point source of pollution, have all placed a strain on the world’s flowing, fresh, waters. The de-commissioning of two WTPs in the Kentucky River basin, and the commissioning of a new WTP in an adjacent watershed, provided an opportunity to examine the …


Self Dual Codes And The Indecomposable Building Blocks, Nathan John Russell Jan 2016

Self Dual Codes And The Indecomposable Building Blocks, Nathan John Russell

Online Theses and Dissertations

Just like prime numbers are to integers, indecomposable codes are to self dual codes. This paper gives an explicit listing of the first few families of binary self dual codes, up to length 16. Binary self dual codes that are decomposable are given as a composition of indecomposable codes. The indecomposable codes are explicitly listed with generator matrices. The complete classifying process is outlined.


A Vegetation-Based Index Of Biotic Integrity For Wetlands Of Kentucky, Noelle Newman Smith Jan 2016

A Vegetation-Based Index Of Biotic Integrity For Wetlands Of Kentucky, Noelle Newman Smith

Online Theses and Dissertations

Wetland ecosystems have experienced severe declines across the United States, prompting efforts to assess the status of remaining wetlands and regulate their development. The Clean Water Act and the policy of “No Net Loss” have resulted in a system of permitting and mitigation for impacts to wetlands. Professional judgments of wetland quality are inherent in regulatory decisions related to preservation and mitigation, but many states, and until recently including Kentucky, have no standard, quantifiable means of assessing wetlands to guide the decision process. A rapid assessment method has recently been developed for Kentucky, but there is no intensive assessment method …


An Elliptic Exploration, David Curtis Swart Jan 2016

An Elliptic Exploration, David Curtis Swart

Online Theses and Dissertations

In this paper I will be giving an introduction to an interesting kind of equation called elliptic curves, and how they can be used to protect our national security through Cryptology. We will explore the unique operation for adding points on elliptic curves and the group structure that it creates, as well as the ECC method, which stands among the RSA and AES methods as one of the modern day's most secure systems of cryptography. In addition, I will also introduce several algorithms and methods that are useful for working with ECC such as Schoof's Algorithm, and I will also …


The Monochromatic Column Problem: The Prime Case, Loran Elizabeth Crowell Jan 2016

The Monochromatic Column Problem: The Prime Case, Loran Elizabeth Crowell

Online Theses and Dissertations

Let p1, p2, . . . , pn be pairwise coprime positive integers and let P = p1p2 · · · pn. Let 0,1,...,m−1 be a sequence of m different colors. Let A be an n×mP matrix of colors in which row i consists of blocks of pi consecutive entries of the same color, with colors 0 through m − 1 repeated cyclically. The Monochromatic Column problem is to determine the number of columns of A in which every entry is the same color. A partial solution for the case when m is prime is given.