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2013

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Full-Text Articles in Physical Sciences and Mathematics

Mission Aware Energy Saving Strategies For Army Ground Vehicles, Macam Dattathreya Jan 2013

Mission Aware Energy Saving Strategies For Army Ground Vehicles, Macam Dattathreya

Wayne State University Dissertations

Fuel energy is a basic necessity for this planet and the modern technology to perform many activities on earth. On the other hand, quadrupled automotive vehicle usage by the commercial industry and military has increased fuel consumption. Military readiness of Army ground vehicles is very important for a country to protect its people and resources. Fuel energy is a major requirement for Army ground vehicles. According to a report, a department of defense has spent nearly $13.6 billion on fuel and electricity to conduct ground missions. On the contrary, energy availability on this plant is slowly decreasing. Therefore, saving energy …


Combinatorial Auction-Based Virtual Machine Provisioning And Allocation In Clouds, Sharrukh Zaman Jan 2013

Combinatorial Auction-Based Virtual Machine Provisioning And Allocation In Clouds, Sharrukh Zaman

Wayne State University Dissertations

Current cloud providers use fixed-price based mechanisms to allocate Virtual Machine (VM) instances to their users. But economic theory states that when there are large amount of resources to be allocated to large number of users, auctions are the most efficient allocation mechanisms. Auctions achieve efficiency of allocation and also maximize the providers' revenue, which a fixed-price based mechanism is unable to do. We argue that combinatorial auctions are best suited for the problem of VM provisioning and allocation in clouds, since they provide the users with the most flexible way to express their requirements. In combinatorial auctions, users bid …


Fault Management For Service-Oriented Systems, Amal Alhosban Jan 2013

Fault Management For Service-Oriented Systems, Amal Alhosban

Wayne State University Dissertations

Service Oriented Architectures (SOAs) enable the automatic creation of business applications from independently developed and deployed Web services. As Web services are inherently unreliable,

how to deliver reliable Web services composition over unreliable Web services is a significant and challenging problem. The process requires monitoring the system's behavior, determining when and why faults occur, and then applying fault prevention/recovery mechanisms to minimize the impact and/or recover from these faults. However, it is hard to apply a non-distributed management

approach to SOA, since a manager needs to communicate with the different components through authentications. In SOA, a business process can terminate …


Modeling Of Mouse Eye And Errors In Ocular Parameters Affecting Refractive State, Gurinder Bawa Jan 2013

Modeling Of Mouse Eye And Errors In Ocular Parameters Affecting Refractive State, Gurinder Bawa

Wayne State University Dissertations

ABSTRACT

MODELING OF MOUSE EYE AND ERRORS IN OCULAR PARAMETERS AFFECTING REFRACTIVE STATE

by

GURINDER BAWA

September 2013

Advisor: Dr. Ivan Avrutsky

Major: Electrical Engineering

Degree: Doctor of Philosophy

Rodents eye are particularly used to study refractive error state of an eye and development of refractive eye. Genetic organization of rodents is similar to that of humans, which makes them interesting candidates to be researched upon. From rodents family mice models are encouraged over rats because of availability of genetically engineered models. Despite of extensive work that has been performed on mice and rat models, still no one is able …


Supporting Text Retrieval Query Formulation In Software Engineering, Sonia Cristina Haiduc Jan 2013

Supporting Text Retrieval Query Formulation In Software Engineering, Sonia Cristina Haiduc

Wayne State University Dissertations

The text found in software artifacts captures important information. Text Retrieval (TR) techniques have been successfully used to leverage this information. Despite their advantages, the success of TR techniques strongly depends on the textual queries given as input. When poorly chosen queries are used, developers can waste time investigating irrelevant results.

The quality of a query indicates the relevance of the results returned by TR in response to the query and can give an indication if the results are worth investigating or a reformulation of the query should be sought instead. Knowing the quality of the query could lead to …


Descriptive Statistical Attributes Of Special Education Datasets, Valerie Felder Jan 2013

Descriptive Statistical Attributes Of Special Education Datasets, Valerie Felder

Wayne State University Dissertations

ABSTRACT

Descriptive Statistical Attributes of Special Education Data Sets

by

VALERIE FELDER

December 2013

Advisor: Dr. Shlomo Sawilowsky

Major: Educational Evaluation and Research

Degree: Doctor of Philosophy

Micceri (1989) examined the distributional characteristics of 440 large-sample achievement and psychometric measures. All the distributions were found to be nonnormal at alpha = .01. Micceri indicated three factors that might contribute to a non-Gaussian error distribution in the population. The first factor is subpopulations within a target population. The second factor is ceiling effects and the third factor is treatment effects that may change the location parameter, variability, or shape of the …


Recovery Of Understory Bird Movement In Post-Pasture Amazonia, Luke L. Powell Jan 2013

Recovery Of Understory Bird Movement In Post-Pasture Amazonia, Luke L. Powell

LSU Doctoral Dissertations

I sought to understand how forest fragmentation and secondary growth affect avian movement at the Biological Dynamics of Forest Fragments Project (BDFFP) near Manaus, Brazil. When deforested areas are abandoned, secondary forests regenerate, allowing rainforest animals to gradually recovery their ability to use formerly inhospitable habitat. My colleagues and I captured 2773 understory birds of ten foraging guilds along the edges of primary forest fragments and variable secondary forest. Age of secondary forest along edges was the most important variable driving capture rates on primary/secondary edges. Mean recovery to pre-isolation capture rates was 26 years after abandonment, but terrestrial insectivores …


Challenges And Rewards Of Single Crystal Flux Growth: Physical Properties Of Structurally Related Ln-Ru-Al Intermetallics, Gregory Morrison Jan 2013

Challenges And Rewards Of Single Crystal Flux Growth: Physical Properties Of Structurally Related Ln-Ru-Al Intermetallics, Gregory Morrison

LSU Doctoral Dissertations

The availability of single crystals is vital for understanding the intrinsic properties of crystalline materials. The flux growth method is a versatile technique which may be used to grow single crystals. However, their synthesis can often be challenging, especially when a competing phase is very robust. Herein, we study the growth competition between structurally related compounds in the Ln-Ru-Al phase space. We demonstrate the benefits of single crystals and suggest methods to grow competing phases. CeRu2Al10 has garnered interest due to its higher ordering temperate than expected from de Gennes scaling and its metal-to-insulator transition at the same temperature. Here, …


New Strategies For The Synthesis Of Porphyrinoids, Moses Inyanje Ihachi Jan 2013

New Strategies For The Synthesis Of Porphyrinoids, Moses Inyanje Ihachi

LSU Doctoral Dissertations

ABSTRACT Chapter 1 describes the most stable isomer of porphyrin called porphycene. In this chapter photodynamic therapy (PDT) is explained, and the application of porphycenes in PDT is also described. Other biological applications and its uses in catalysis are also summarized here. The general chemical reactions of porphycenes are also explained. Chapter 2 involves the synthesis of pyrroles and bipyrroles. Functionalization of pyrrollic substituents is demonstrated using organometallic coupling reactions like Stille coupling and Grubbs olefin metathesis. The synthesis of divinyl bipyrroles is intended to provide an important precursor to porphycene synthesis via ring closing metathesis using Grubbs catalyst. Chapter …


Preparation And Characterization Of Cellulose Nanoparticles And Their Application In Biopolymeric Nanocomposites, Jingquan Han Jan 2013

Preparation And Characterization Of Cellulose Nanoparticles And Their Application In Biopolymeric Nanocomposites, Jingquan Han

LSU Doctoral Dissertations

Regenerated cellulose nanoparticles (RCNs) including both elongated fiber and spherical structures were prepared from microcrystalline cellulose (MCC) and cotton using 1-butyl-3-methylimidazolium chloride followed by high-pressure homogenization. The RCN has a two-step pyrolysis, different from raw MCC and cotton that had a one-step process. The crystalline structure of RCNs was cellulose II in contrast to the cellulose I form of the starting materials. Also, the RCNs have decreased crystallinity and crystallite size. The elongated RCNs produced from cotton and MCC had average lengths of 123 ± 34 and 112 ± 42 nm, and mean widths of 12 ± 5 and 12 …


Crystal Growth And An Investigation Of Structural Stability: Synthesis, Structure, And Physical Properties Of Yb(Mn,M)Xal12-X (M = Fe, Ru; X < 2.5) And Lnmnxga3 (Ln = Ho-Tm; X < 0.15), Bradford Wesley Fulfer Jan 2013

Crystal Growth And An Investigation Of Structural Stability: Synthesis, Structure, And Physical Properties Of Yb(Mn,M)Xal12-X (M = Fe, Ru; X < 2.5) And Lnmnxga3 (Ln = Ho-Tm; X < 0.15), Bradford Wesley Fulfer

LSU Doctoral Dissertations

The contents of this dissertation describe the crystal growth, crystal structures, and physical properties of ternary intermetallic aluminides and gallides. These compounds are grown in an effort to determine how controlling reaction ratios using the flux growth method can impact chemical structure and physical properties. Three specific examples are given where slight changes in reaction ratios leads to crystalline products that adopt various structure types. LnMn2+xAl10-x (Ln = Gd, Yb) crystals adopt the CaCr2Al10 and ThMn12 structure types. We compare LnMn2+xAl10-x compounds adopting the CaCr2Al10 and ThMn12 structure types, and outline synthesis methods to obtain each polymorph. Magnetic susceptibility measurements …


Synthesis Of The Western Hemisphere Of Theonellamide C, Saroj Yadav Jan 2013

Synthesis Of The Western Hemisphere Of Theonellamide C, Saroj Yadav

LSU Doctoral Dissertations

Theonellamides A-F were isolated from Theonella swinhoei by Fusetani and co-workers. Despite considerable synthetic effort to produce theonellamide F by the Shioiri group in the early 1990’s, the total synthesis of a theonellamide has yet to be reported. We report herein our efforts toward some of the required amino acid residues and construction of the western ring of theonellamide C. We describe the synthesis of an uncoded amino acid, (2S,4R)-ɣ-hydroxy-α-amino adipic acid (Ahad), a building block for theonellamide C. We initially investigated the Corey-Lygo method for the catalytic asymmetric generation of the Cα stereocenter. Unfortunately, the alkylation of glycine benzophenone …


Gene Set Based Ensemble Methods For Cancer Classification, William Evans Duncan Jan 2013

Gene Set Based Ensemble Methods For Cancer Classification, William Evans Duncan

LSU Doctoral Dissertations

Diagnosis of cancer very often depends on conclusions drawn after both clinical and microscopic examinations of tissues to study the manifestation of the disease in order to place tumors in known categories. One factor which determines the categorization of cancer is the tissue from which the tumor originates. Information gathered from clinical exams may be partial or not completely predictive of a specific category of cancer. Further complicating the problem of categorizing various tumors is that the histological classification of the cancer tissue and description of its course of development may be atypical. Gene expression data gleaned from micro-array analysis …


Molecular-Level Investigations Combining Nanoscale Lithography And Atomic Force Microscopy, Chamarra Karmelia Saner Jan 2013

Molecular-Level Investigations Combining Nanoscale Lithography And Atomic Force Microscopy, Chamarra Karmelia Saner

LSU Doctoral Dissertations

In this dissertation, nanostructures of octadecyltrichlorosilane (OTS) and were prepared using particle lithography and evaluated using characterizations with atomic force microscopy (AFM). The nanostructures of OTS were used as a resist for patterning fibronectin, an extracellular matrix protein. Particle lithography provides a practical and reproducible approach to generate billions of nanostructures comprised of organic thin films or nanomaterials. A film of mesospheres can be applied as a surface mask to define the periodicity and size of nanopatterns using processes of self-assembly. A close-packed arrangement of mesospheres is produced spontaneously when monodisperse solutions of latex or silica are dried on a …


Cyclic Block Copolypeptoids : Synthesis, Self-Assembly And Macroscopic Properties, Chang-Uk Lee Jan 2013

Cyclic Block Copolypeptoids : Synthesis, Self-Assembly And Macroscopic Properties, Chang-Uk Lee

LSU Doctoral Dissertations

This dissertation presents the first experimental efforts for synthesizing a new class of peptidomimetic polymers, cyclic block copolypeptoids, studying their self-assembly in dilute solution, and examining their macroscopic properties. Cyclic poly(N-methyl-glycine)-b-poly(N-decyl-glycine) (PNMG-b-PNDG) diblock copolymers were synthesized via sequential, N-heterocyclic carbene (NHC)-mediated ring-opening polymerization of NCA monomers with controlled chain length and compositions. Cryo-TEM shows that PNMG105-b-PNDG10 copolymers in methanol (1 mg/mL) form spherical micelles that organize to form cylindrical micelles over time. The formation of cylindrical micelles is attributed to the crystallization of PNDG chains, as revealed by SAED and microDSC analyses. Cyclic PNMG100-b-PNDG10 copolymers form thermo-reversible, free-standing gels at …


Study On The Performance Of Tcp Over 10gbps High Speed Networks, Cheng Cui Jan 2013

Study On The Performance Of Tcp Over 10gbps High Speed Networks, Cheng Cui

LSU Doctoral Dissertations

Internet traffic is expected to grow phenomenally over the next five to ten years. To cope with such large traffic volumes, high-speed networks are expected to scale to capacities of terabits-per-second and beyond. Increasing the role of optics for packet forwarding and transmission inside the high-speed networks seems to be the most promising way to accomplish this capacity scaling. Unfortunately, unlike electronic memory, it remains a formidable challenge to build even a few dozen packets of integrated all-optical buffers. On the other hand, many high-speed networks depend on the TCP/IP protocol for reliability which is typically implemented in software and …


Scanning Probe Investigations Of The Surface Self-Assembly Of Organothiols And Organosilanes Using Nanoscale Lithography, Tian Tian Jan 2013

Scanning Probe Investigations Of The Surface Self-Assembly Of Organothiols And Organosilanes Using Nanoscale Lithography, Tian Tian

LSU Doctoral Dissertations

Particle lithography and scanning probe lithography were applied to study the kinetics and mechanisms of surface self-assembly processes. Organothiols on Au(111) and organosilane on Si(111) were chosen as model systems for investigations at the nanoscale using atomic force microscopy (AFM). Fundamental insight of structure/property interrelationships and understanding the properties of novel materials are critical for developments with molecular devices. Methods using an AFM probe for nanofabrication have been applied successfully to prepare sophisticated molecular architectures with high reproducibility and spatial precision. The established capabilities of AFM-based nanografting were reviewed for inscribing patterns of diverse composition, to generate complicated surface designs …


Coupling Between Spin, Lattice, And Charge At The Surface Of Complex Transition Metal Compounds, Guorong Li Jan 2013

Coupling Between Spin, Lattice, And Charge At The Surface Of Complex Transition Metal Compounds, Guorong Li

LSU Doctoral Dissertations

Understanding and controlling the complexity that develops in complex transition metal compounds such as high-Tc superconductivity, "colossal" magnetoresistance in manganites, and heavy-fermion compounds, is one of the grand challenges of the 21st century. The exotic properties displayed by these compounds are closely related to the coexistence of nearly degenerate states, coupling simultaneously several active degrees of freedom such as the charge, lattice, orbital, and spin. In this work, we have focused on two systems, one is the newly discovered Fe-based superconducting compounds ((Ba, Ca)(Fe1-xCox)2As2, FeTe1-xSex) and the other one is the doped Ruddleden-Popper (RP) ruthenates (Sr3(Ru1-xMnx)2O7). The materials community was …


Long-Term Total Suspended Sediment Yield Of Coastal Louisiana Rivers With Spatiotemporal Analysis Of The Atchafalaya River Basin And Delta Complex, Timothy Rosen Jan 2013

Long-Term Total Suspended Sediment Yield Of Coastal Louisiana Rivers With Spatiotemporal Analysis Of The Atchafalaya River Basin And Delta Complex, Timothy Rosen

LSU Master's Theses

The modern day Mississippi River Delta Plain and the Louisiana Chenier Plain have been greatly altered through anthropogenic changes to course and hydrological conditions of the Mississippi River and local rivers, most notably by levees that have excluded the Mississippi River from the delta plain. This has slowed accretion and increased land loss destroying vast quantities of marsh, endangering many coastal communities. This master’s thesis examined long-term total suspended sediment yield of four Chenier Plain rivers, total suspended sediment yield of the Mississippi River under different flow conditions, and total suspended sediment dynamics of the Atchafalaya River in relation to …


Effects Of Predator Reduction On Nest Success Of Upland Nesting Ducks In Low-Grassland Density Landscapes In Eastern North Dakota, Michael Buxton Jan 2013

Effects Of Predator Reduction On Nest Success Of Upland Nesting Ducks In Low-Grassland Density Landscapes In Eastern North Dakota, Michael Buxton

LSU Master's Theses

Nest success of upland nesting ducks is the primary driver of duck population growth in the Prairie Pothole Region. Nest success is greatly influenced by nest predation and the amount of available nesting cover on the landscape. The decline in acres enrolled in the Conservation Reserve Program (CRP) in this region has negatively impacted the amount of available nesting cover, making nesting cover sparse and confined to small patches where predation rates are potentially elevated. I evaluated the efficacy of seasonal predator reduction on increasing nest success on low-grassland density (>10% grassland cover), 93 km2 landscapes in two different …


Inductivley Coupled Plasma Optical Emission Spectroscopy Analysis Of Heavy Metal Concentrations In Gulf Menhaden (Brevoortia Patronus) Populations In The Northern Gulf Of Mexico From 2011 To 2012, Hannah Paula Rockett Jan 2013

Inductivley Coupled Plasma Optical Emission Spectroscopy Analysis Of Heavy Metal Concentrations In Gulf Menhaden (Brevoortia Patronus) Populations In The Northern Gulf Of Mexico From 2011 To 2012, Hannah Paula Rockett

LSU Master's Theses

In 2010, the Deepwater Horizon (DWH) oil spill, released 4.9 million barrels of oil into the Gulf of Mexico, creating the largest marine oil spill in the history of the U.S. petroleum industry. Trace metals, including those from crude oil, were dispersed in the water column and bound to suspended particulates. As obligate filter-feeding omnivores and a predominate fishery in the Gulf of Mexico, Gulf menhaden (Brevoortia patronus) are susceptible to trace metal accumulation. Samples of menhaden were collected at two locations in coastal Louisiana, Grand Isle (GI) and Vermillion Bay (VB), with VB serving as the non-impacted DWH oil …


Controls On The Composition Of Saline Formation Waters From Coastal And Offshore Louisiana, Marielle Elaine Ausburn Jan 2013

Controls On The Composition Of Saline Formation Waters From Coastal And Offshore Louisiana, Marielle Elaine Ausburn

LSU Master's Theses

Geothermal energy is a renewable energy source that can contribute to the U.S. energy mix. As such, new technologies are being explored for lower temperature systems which would open new areas for exploration in Louisiana. Unlike concepts proposed in the early 1980s, in which heat would have been extracted at the land surface from produced overpressured waters, methods currently being proposed would involve engineered down-hole heat exchangers with zero-mass-fluid withdrawal. A re-examination has been made of the controls on the composition of formation waters in south central and offshore Louisiana in the context of providing insight into water-rock reactions that …


Using Formative Assessment To Enhance Student Performance On Geometric Proof Writing, Benjamin Hargrave Jan 2013

Using Formative Assessment To Enhance Student Performance On Geometric Proof Writing, Benjamin Hargrave

LSU Master's Theses

The purpose of this research is to uncover best practices to create competent proof writers. Studies have shown the best setting to do this is in the high school geometry classroom. Throughout a yearlong study of geometry, students were exposed to theorems and their demonstrations. Despite constant exposure, students were still unable to produce their own proof of propositions. The questions then became how can an educator provide critical feedback that encourages student reasoning and develops logical argumentation skills? With the goal in mind, twenty-five students enrolled in a geometry course at Baton Rouge High School in Baton Rouge, Louisiana …


An Acid Catalyzed Reversible Ring-Opening/Ring-Closure Reaction Involving A Cyano-Rhodamine Spirolactam, H. Li, H. Guan, X. Duan, J. Hu, Guiren Wang, Qian Wang Jan 2013

An Acid Catalyzed Reversible Ring-Opening/Ring-Closure Reaction Involving A Cyano-Rhodamine Spirolactam, H. Li, H. Guan, X. Duan, J. Hu, Guiren Wang, Qian Wang

Faculty Publications

Cyanamide was introduced into the rhodamine spirolactam framework to produce a colorless and non-fluorescent compound RBCN. It shows a reversible ring-opening/ring-closure process in response to the solution pH, which exhibits an “ON/OFF” switching in its fluorescence. Different from other rhodamine-type dyes, the ring-open form of RBCN is stable in protic solvents under neutral, near neutral and basic conditions, showing a pink color and very strong fluorescence. We also demonstrated the potential of RBCN in live cell imaging.


Reviews Of Science For Science Librarians: Drought In The Agricultural And Geosciences Literature, Leslie M. Delserone, Adonna Fleming Jan 2013

Reviews Of Science For Science Librarians: Drought In The Agricultural And Geosciences Literature, Leslie M. Delserone, Adonna Fleming

UNL Libraries: Faculty Publications

Drought is a hot topic, given the climatic events of summer 2012 in the United States. This article provides a fundamental understanding of drought—its definitions, classifications, ratings, and impact on agriculture. Also included are introductions to drought-related research areas in the geosciences—specifically geology, hydrology, and atmospheric sciences—as well as pointers to reliable sources of information about drought from the agricultural and geosciences literature.


Hurricane Sandy: A Chance To Identify Vulnerabilities, Learn From The Past, And Increase Future Resiliency, Julianne Yee Jan 2013

Hurricane Sandy: A Chance To Identify Vulnerabilities, Learn From The Past, And Increase Future Resiliency, Julianne Yee

Student Theses 2001-2013

Hurricane Sandy was an eye-opening event for the New York City area. It revealed many vulnerabilities, especially flaws in zoning and infrastructure designs. Natural science data helps to determine that rising sea levels and increased intensity of storms due to climate change will make this area even more vulnerable. Other impacts of climate change may pose even more threats to this area. Three disciplines, environmental history, ecological design, and governmental policy, will be used to best approach these future issues. It is important to have a better understanding of the past environmental history of the area, where ecological design can …


Drilling For Arctic Oil: Is It Worth The Risk?, Emily Kain Jan 2013

Drilling For Arctic Oil: Is It Worth The Risk?, Emily Kain

Student Theses 2001-2013

For many decades, Americans have been relying on fossil fuels to run our cars and to heat our houses. It has come to a point where our apparent need for this oil is more important than the environment and the natural world that we have tried so hard to preserve. The Arctic National Wildlife Refuge, commonly know as ANWR, in Alaska is the center of much debate surrounding potential drillings in order to lessen Americas dependence on foreign oil. This paper will refute this idea and prove that by not drilling in the Arctic we will not only lessen our …


Sandy And The City: The Need For Coastal Policy Reform, Jonathan Hilburg Jan 2013

Sandy And The City: The Need For Coastal Policy Reform, Jonathan Hilburg

Student Theses 2001-2013

After tropical storm Sandy battered the East Coast in October 2012, New York City was damaged extensively by flooding, high-intensity winds and the resultant flames. The resultant flooding rendered many underground subway lines unusable along the southern coasts for an extended period of time, as well as damaging buried electrical wiring. These outages were compounded by the hi-strength winds in the upper areas that also brought down above ground wiring. The lack of electricity for use in traffic lights, care facilities, emergency services and mass transit had a staggeringly adverse impact on public health.

In the upcoming effort to rebuild …


The Centrality Of Ecological Design: Achieving Sustainability In An Era Of Free-Market Capitalist Framework, Eddy Andrade Jan 2013

The Centrality Of Ecological Design: Achieving Sustainability In An Era Of Free-Market Capitalist Framework, Eddy Andrade

Student Theses 2001-2013

Sustainability has become a key word in describing the role of the environmental movement in society today. Capitalism makes it difficult to achieve environmental goals because the priority of a capitalist system is achieving wealth through limitless economic growth. The goals set forth by sustainability aim to make cities function more like natural ecosystems through sustainable design practices such as bio mimicry. Capitalism and sustainability are at odds with each other and their ultimate goals are in direct conflict with their own respective frameworks. In the following paper I will discuss how design can be used to mitigate many of …


Hurricane Sandy: Using Environmental History, Economics, Politics And Urban Planning To Prepare For The Next One, Julia Maguire Jan 2013

Hurricane Sandy: Using Environmental History, Economics, Politics And Urban Planning To Prepare For The Next One, Julia Maguire

Student Theses 2001-2013

Hurricane Sandy, a category 1 storm by the time it reached the North East coast of the United States, was a disaster that devastated all of those in its path. The physical effects of the hurricane, which hit the East coast of the United States on October 29, 2012, were felt by 15 states. The most devastating outcome in the aftermath of the storm was the death toll that numbered over 100 people. The shock from the disturbing effects of this storm was extremely unsettling, and unfortunately those who were affected by it will continue to suffer from these consequences …