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Physical Sciences and Mathematics Commons™
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- Bathymetry (1)
- Carrying Capacity (1)
- Common Snook (1)
- Conservation (1)
- Deflater Algorithm (1)
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- Depth (1)
- Flow Rate (1)
- Huffman Coding (1)
- Hydraulic Conductivity (1)
- LZ77 (1)
- Laminae (1)
- Mitochondrial Genome (1)
- NP Completeness (1)
- Oil Reserves (1)
- Overfishing (1)
- Peak Oil Production (1)
- Quantum Search (1)
- Speleothems (1)
- Stormwater management (1)
- Subset Sum Problem (1)
- Uranium Dating (1)
- Water Filter (1)
Articles 1 - 7 of 7
Full-Text Articles in Physical Sciences and Mathematics
Overfishing Of The Common Snook, Allison Ashcroft
Overfishing Of The Common Snook, Allison Ashcroft
Undergraduate Journal of Mathematical Modeling: One + Two
The chief aim of this project is to determine if the populations of the common snook, Centropomus Undecimalis, in the Atlantic and Gulf coast are being affected by overfishing. This is established by evaluating the intrinsic rate of change for these populations and their carrying capacities. It turns out that the carrying capacity for the population of the Atlantic coast is approximately one million snook and its intrinsic rate is 0.00621, while the carrying capacity of the Gulf coast's population is 2.9 million snook and its intrinsic rate is 0.00165. The decline of both populations is most likely due …
The Elevation To Area Relationship Of Lake Behnke, Kaitlin Deutsch
The Elevation To Area Relationship Of Lake Behnke, Kaitlin Deutsch
Undergraduate Journal of Mathematical Modeling: One + Two
The objective of this project was to determine the area-to-depth relationship in Lake Behnke, which acts as the principal stormwater drainage basin for the University of South Florida campus in Tampa, Florida. Data previously collected in a stormwater management study by Jeffery Earhart illustrated a linear correlation between the lake's area and depth; however, that study was conducted in 1998, and this present work serves to double check that correlation. We analyzed a bathymetric map of Lake Behnke that displayed several contour lines indicating depth and approximated the area inside each closed curve with a contour integral. The resulting relationship …
U.S. Oil Reserves And Peak Oil, Trang Luong
U.S. Oil Reserves And Peak Oil, Trang Luong
Undergraduate Journal of Mathematical Modeling: One + Two
We use calculus methods to estimate the quantity of U.S. oil reserves. We consider a model that consists of an exponential function with four unknown constants. We fit real oil production data to determine the unknown constants. With the constants determined we use the function to find the year in which the U.S. oil production reached its peak. We also estimate the amount of petroleum produced until the end of 2006, and the undiscovered oil reserves to be produced in the future.
The Subset Sum Problem: Reducing Time Complexity Of Np-Completeness With Quantum Search, Bo Moon
The Subset Sum Problem: Reducing Time Complexity Of Np-Completeness With Quantum Search, Bo Moon
Undergraduate Journal of Mathematical Modeling: One + Two
The Subset Sum Problem is a member of the NP-complete class, so no known polynomial time algorithm exists for it. Although there are polynomial time approximations and heuristics, these are not always acceptable, yet exact-solution algorithms are unfeasible for large input. Quantum computation offers new insights for not only the Subset Sum Problem but also the entire NP-complete class; most notably, Grover's quantum algorithm for an unstructured database search can be tailored to identify solutions to problems within mathematics and computer science. This paper discusses the physical and conceptual feasibility of quantum computation and demonstrates the utility of quantum search …
Complexity Of Mitochondrial Genome Sequences, Brandon Toun
Complexity Of Mitochondrial Genome Sequences, Brandon Toun
Undergraduate Journal of Mathematical Modeling: One + Two
The purpose of this project is to compare the complexities of different species' mitochondrial genome sequences. Using an implementation of Deflate compression algorithm from Java standard library, we were able to compress mitochondrial genomes of nine different species. The complexity of each sequence is estimated as a ratio of the original sequence length to the length of the compressed sequence. In addition, we show how a notion of topological entropy from symbolic dynamics can be used as another complexity measure of nucleotide sequences.
Modeling Flow Rate To Estimate Hydraulic Conductivity In A Parabolic Ceramic Water Filter, Ileana Wald
Modeling Flow Rate To Estimate Hydraulic Conductivity In A Parabolic Ceramic Water Filter, Ileana Wald
Undergraduate Journal of Mathematical Modeling: One + Two
In this project we model volumetric flow rate through a parabolic ceramic water filter (CWF) to determine how quickly it can process water while still improving its quality. The volumetric flow rate is dependent upon the pore size of the filter, the surface area, and the height of water in the filter (hydraulic head). We derive differential equations governing this flow from the conservation of mass principle and Darcy's Law and find the flow rate with respect to time. We then use methods of calculus to find optimal specifications for the filter. This work is related to the research conducted …
Speleothem Laminae Counting And Growth Rate, Corey Wilson
Speleothem Laminae Counting And Growth Rate, Corey Wilson
Undergraduate Journal of Mathematical Modeling: One + Two
The goal of this project is to determine if there is a correlation between annual laminae in speleothems and Uranium dating. To do this, we counted laminae using high-resolution images and calculated a line of the best fit for the resulting data. We found that our data could supplement Uranium dating, but unless more data is obtained, laminae counting gives relatively imprecise age and growth rate estimates.