Investigating Uranus With George: The Gap-Based Expanding Outer Region Geophysical Explorer Mission, 2013 SelectedWorks

#### Investigating Uranus With George: The Gap-Based Expanding Outer Region Geophysical Explorer Mission, Jeremy Straub, Josh Berk, Tyler Hill, Nick Long

*Jeremy Straub*

This paper presents an overview of a two-part mission to Uranus and its moons. Key questions about the Uranian system remain unanswered which can and should be resolved by this mission. These include gaining an understanding about the offset of Uranus’s magnetic field and its axial tilt. Additional details about the composition and formation of Uranus’s moons are also desired. The mission will be comprised of a primary craft and three 6-U CubeSats. The CubeSats will initially be deployed in Uranian orbit to perform a characterization of the gravity field of the planet. They will then be moved ...

Acceptance Of The Autonomy Required For Interplanetary Small Spacecraft Missions By The Scientists Who Will Use The Data, 2013 SelectedWorks

#### Acceptance Of The Autonomy Required For Interplanetary Small Spacecraft Missions By The Scientists Who Will Use The Data, Jeremy Straub

*Jeremy Straub*

Small spacecraft operating at a distance from Earth are constrained by communications in several ways. The delay between message trans- mission, receipt at Earth, and eventual receipt of a reply can be significant. Further, gain and transmission power limitations (introduced by spacecraft form factor constraints and the resulting limitation on antenna size and power generation capabilities) constrain the amount of data that can be sent and received. This drives a need for mission autonomy: a requirement that the spacecraft be able to manage its own operations and choose the data that it should collect and transmit, based on high-level instructions ...

Hilbert Space Theory And Applications In Basic Quantum Mechanics, 2013 California Polytechnic State University, San Luis Obispo

#### Hilbert Space Theory And Applications In Basic Quantum Mechanics, Matthew Gagne

*Mathematics*

We explore the basic mathematical physics of quantum mechanics. Our primary focus will be on Hilbert space theory and applications as well as the theory of linear operators on Hilbert space. We show how Hermitian operators are used to represent quantum observables and investigate the spectrum of various linear operators. We discuss deviation and uncertainty and briefly suggest how symmetry and representations are involved in quantum theory.

Global Dynamics Of A Water-Borne Disease Model With Multiple Transmission Pathways, 2013 Shibpur Sri Ramkrishna Vidyalaya

#### Global Dynamics Of A Water-Borne Disease Model With Multiple Transmission Pathways, Prasanta K. Mondal, T. K. Kar

*Applications and Applied Mathematics: An International Journal (AAM)*

We propose and analyze a water born disease model introducing water-to-person and person-toperson transmission and saturated incidence. The disease-free equilibrium and the existence criterion of endemic equilibrium are investigated. Trans critical bifurcation at the disease-free equilibrium is obtained when the basic reproductive number is one. The local stability of both the equilibria is shown and a Lyapunov functional approach is also applied to explore the global stability of the system around the equilibria. We display the effects of pathogen contaminated water and infection through contact on the system dynamics in the absence of person-to-person contact as well as in the ...

Scalars And Generating Bases For The Module Of Splines With Boundary Conditions C(R;0)(I, 2013 Syracuse University

#### Scalars And Generating Bases For The Module Of Splines With Boundary Conditions C(R;0)(I, Gordon Michael Jones

*Syracuse University Honors Program Capstone Projects*

See Full Document for Abstract

Level Crossing Times In Mathematical Finance, 2013 East Tennessee State University

#### Level Crossing Times In Mathematical Finance, Ofosuhene Osei

*Electronic Theses and Dissertations*

Level crossing times and their applications in finance are of importance, given certain threshold levels that represent the "desirable" or "sell" values of a stock. In this thesis, we make use of Wald's lemmas and various deep results from renewal theory, in the context of finance, in modelling the growth of a portfolio of stocks. Several models are employed .

Effects Of Hru Size On Prms Performance In 30 Western U.S. Basins, 2013 Portland State University

#### Effects Of Hru Size On Prms Performance In 30 Western U.S. Basins, Madeline Olena Steele

*Dissertations and Theses*

Semi-distributed hydrological models are often used for streamflow forecasting, hydrological climate change impact assessments, and other applications. In such models, basins are broken up into hydrologic response units (HRUs), which are assumed to have a relatively homogenous response to precipitation. HRUs are delineated in a variety of ways, and the procedure used may impact model performance. HRU delineation procedures have been researched, but it is still not clear how important these subdivision schemes are or which delineation methods are most effective. To start addressing this knowledge gap, this project investigated whether or not HRU size has a significant effect on ...

Three Poems: The Lorenz Transformations, Rotating The Strange Attractor To Find The Principal Components, The Sieve Of Eratosthenes, 2013 University of Wisconsin-Madison

#### Three Poems: The Lorenz Transformations, Rotating The Strange Attractor To Find The Principal Components, The Sieve Of Eratosthenes, Robin Chapman

*Journal of Humanistic Mathematics*

No abstract provided.

A Cauchy Problem For Some Local Fractional Abstract Differential Equation With Fractal Conditions, 2013 China University of Mining & Technology

#### A Cauchy Problem For Some Local Fractional Abstract Differential Equation With Fractal Conditions, Yang Xiaojun, Zhong Weiping, Gao Feng

*Xiao-Jun Yang*

Fractional calculus is an important method for mathematics and engineering [1-24]. In this paper, we review the existence and uniqueness of solutions to the Cauchy problem for the local fractional differential equation with fractal conditions \[ D^\alpha x\left( t \right)=f\left( {t,x\left( t \right)} \right),t\in \left[ {0,T} \right], x\left( {t_0 } \right)=x_0 , \] where $0<\alpha \le 1$ in a generalized Banach space. We use some new tools from Local Fractional Functional Analysis [25, 26] to obtain the results.

Mechaniczny Rozdział Faz Proj., 2013 Wroclaw University of Technology

#### Mechaniczny Rozdział Faz Proj., Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Challenges And Prospects Of Processes Utilising Carbonic Anhydrase For Co2 Separation, 2013 Wroclaw University of Technology

#### Challenges And Prospects Of Processes Utilising Carbonic Anhydrase For Co2 Separation, Patrycja Szeligiewicz, Wojciech M. Budzianowski

*Wojciech Budzianowski*

This article provides an analysis of processes for separation CO2 by using carbonic anhydrase enzyme with particular emphasis on reactive-membrane solutions. Three available processes are characterised. Main challenges and prospects are given. It is found that in view of numerous challenges practical applications of these processes will be difficult in near future. Further research is therefore needed for improving existing processes through finding methods for eliminating their main drawbacks such as short lifetime of carbonic anhydrase or low resistance of reactive membrane systems to impurities contained in flue gases from power plants.

Mapping And Decomposing Scale-Dependent Soil Moisture Variability Within An Inner Bluegrass Landscape, 2013 University of Kentucky

#### Mapping And Decomposing Scale-Dependent Soil Moisture Variability Within An Inner Bluegrass Landscape, Carla Landrum

*Theses and Dissertations--Plant and Soil Sciences*

There is a shared desire among public and private sectors to make more reliable predictions, accurate mapping, and appropriate scaling of soil moisture and associated parameters across landscapes. A discrepancy often exists between the scale at which soil hydrologic properties are measured and the scale at which they are modeled for management purposes. Moreover, little is known about the relative importance of hydrologic modeling parameters as soil moisture fluctuates with time. More research is needed to establish which observation scales in space and time are optimal for managing soil moisture variation over large spatial extents and how these scales are ...

Variance On Topics Of Plane Geometry, 2013 University of New Mexico

#### Variance On Topics Of Plane Geometry, Florentin Smarandache, Ion Patrascu

*Mathematics and Statistics Faculty and Staff Publications*

This book contains 21 papers of plane geometry. It deals with various topics, such as: quasi-isogonal cevians, nedians, polar of a point with respect to a circle, anti-bisector, aalsonti-symmedian, anti-height and their isogonal. A nedian is a line segment that has its origin in a triangle’s vertex and divides the opposite side in Q equal segments. The papers also study distances between remarkable points in the 2D-geometry, the circumscribed octagon and the inscribable octagon, the circles adjointly ex-inscribed associated to a triangle, and several classical results such as: Carnot circles, Euler’s line, Desargues theorem, Sondat’s theorem, Dergiades ...

Introduction To Geographic Information Science Using Arcgis V10, 2013 University of Massachusetts - Amherst

#### Introduction To Geographic Information Science Using Arcgis V10, Charles M. Schweik, Bethany Bradley, Richard Smith

*Charles M. Schweik*

No abstract provided.

Determination Of Kinetic Parameters From The Thermogravimetric Data Set Of Biomass Samples, 2012 Wroclaw University of Technology

#### Determination Of Kinetic Parameters From The Thermogravimetric Data Set Of Biomass Samples, Karol Postawa, Wojciech M. Budzianowski

*Wojciech Budzianowski*

This article describes methods of the determination of kinetic parameters from the thermogravimetric data set of biomass samples. It presents the methodology of the research, description of the needed equipment, and the method of analysis of thermogravimetric data. It describes both methodology of obtaining quantitative data such as kinetic parameters as well as of obtaining qualitative data like the composition of biomass. The study is focused mainly on plant biomass because it is easy in harvesting and preparation. Methodology is shown on the sample containing corn stover which is subsequently pyrolysed. The investigated sample show the kinetic of first order ...

Application Of Homotopy Analysis Transform Method To Fractional Biological Population Model, 2012 Shiraz University of Technology

#### Application Of Homotopy Analysis Transform Method To Fractional Biological Population Model, Habibolla Latifizadeh

*H. L. Zadeh*

No abstract provided.

Numerical Solution For Complex Systems Of Fractional Order, 2012 Shiraz University of Technology

#### Numerical Solution For Complex Systems Of Fractional Order, Habibolla Latifizadeh

*H. L. Zadeh*

No abstract provided.

Effect Of Rising Temperature Due To Ozone Depletion On The Dynamics Of A Prey-Predator System: A Mathematical Model, 2012 Jiwaji University

#### Effect Of Rising Temperature Due To Ozone Depletion On The Dynamics Of A Prey-Predator System: A Mathematical Model, O. P. Misra, Preety Kalra

*Applications and Applied Mathematics: An International Journal (AAM)*

It is well recognized that the greenhouse gas such as Chlorofluoro Carbon (CFC) is responsible directly or indirectly for the increase in the average global temperature of the Earth. The presence of CFC is responsible for the depletion of ozone concentration in the atmosphere due to which the heat accompanied with the sun rays are less absorbed causing increase in the atmospheric temperature of the Earth. The increase in the temperature level directly or indirectly affects the dynamics of interacting species systems. Therefore, in this paper a mathematical model is proposed and analyzed using stability theory to asses the effects ...

Hydrologic Modeling To Examine Land Use Change Impacts (1970’S And 2005) On The Sediment Yield And Flow Regime In Cayuga Creek, Niagara County, New York, 2012 State University of New York College at Buffalo

#### Hydrologic Modeling To Examine Land Use Change Impacts (1970’S And 2005) On The Sediment Yield And Flow Regime In Cayuga Creek, Niagara County, New York, Kimly Reth

*Multidisciplinary Studies Theses*

This research aims to assess the water quality and the land use change impacts on sediment concentration and flow regime in Cayuga Creek, Niagara County, NY for two land use periods, 1970’s and 2005. The 1970’s land use, classified by the USGS, had a significant error. Therefore, the scenario of sediment yield and discharge level to land use change is more of a “what if” since the 1970’s land use was classified incorrectly. The Soil and Water Assessment Tool (SWAT)was used to simulate flows and sediment concentrations for the two land use scenarios using the same ...

Electric Currents Due To Stress-Activated Positive Hole Charge Carriers In Ice, 2012 Michigan Technological University

#### Electric Currents Due To Stress-Activated Positive Hole Charge Carriers In Ice, Cary T. Keller P.E., Friedemann T. Freund, Dale P. Cruikshank

*STAR Program Research Presentations*

Jupiter’s satellite Europa, whose surface is composed of ice with a possible water ocean beneath, could conceivably serve as an abode for extraterrestrial life. This and other icy celestial bodies may contain organic macromolecular solid material that is produced when surface ices are exposed to ultraviolet radiation and/or electrical energy. Tidal and tectonic stresses or meteorite impacts in icy crusts may produce electrical discharges, which would provide the energy for in-situ synthesis of the organic solids. This electrical energy can be provided by positive hole charge carrier activation. Positive holes exhibit properties such as the ability to flow ...