Geometric Constructions From An Algebraic Perspective, 2015 California State University-San Bernardino

#### Geometric Constructions From An Algebraic Perspective, Betzabe Bojorquez

*Electronic Theses, Projects, and Dissertations*

Many topics that mathematicians study at times seem so unrelated such as Geometry and Abstract Algebra. These two branches of math would seem unrelated at first glance. I will try to bridge Geometry and Abstract Algebra just a bit with the following topics. We can be sure that after we construct our basic parallel and perpendicular lines, bisected angles, regular polygons, and other basic geometric figures, we are actually constructing what in geometry is simply stated and accepted, because it will be proven using abstract algebra. Also we will look at many classic problems in Geometry that are not possible ...

Paleoclimatic Implication Of Lake Sediment Geochemistry In Linnévatnet, Spitsbergen, Svalbard, 2015 Bates College

#### Paleoclimatic Implication Of Lake Sediment Geochemistry In Linnévatnet, Spitsbergen, Svalbard, Benjamin Gray Merkert

*Geology Theses*

Linnévatnet (Norwegian, Lake Linné) is a proglacial lake located on the archipelago Svalbard at approximately 78 degrees north latitude. In addition to the sediment released by Linnébreen (Norwegian, Linné Glacier), various small streams and solifluction lobes around the lake contribute to the total sediment input. In this study, two lake cores were taken from one location along with six bulk sediment samples from major sediment sources around the lake. The elemental chemistry and physical parameters of all samples were obtained using X-ray fluorescence and a Geotek MSCL, respectively, at Hartshorne Quaternary Lab at the University of Massachusetts Amherst. The mineralogy ...

Solid Angle Subtended By A Beam With Rectangular Profile Given The Horizontal & Vertical Beam Angles, 2015 M.M.M. University of Technology, Gorakhpur-273010 (UP) India

#### Solid Angle Subtended By A Beam With Rectangular Profile Given The Horizontal & Vertical Beam Angles, Harish Chandra Rajpoot Rajpoot Hcr

*Harish Chandra Rajpoot H.C. Rajpoot*

All the articles discussed & analysed here are useful for calculating the important parameters such as solid angle subtended by the beam at the point-source, total area intercepted by the beam with a spherical surface & cone angle of equivalent beam with circular section. These formula are very useful for replacing the rectangular profile by circular profile of a beam emitted by a uniform point-source & vice versa without any change in the total radiation energy/luminous flux associated with the original beam (having either rectangular or circular profile). Thus the articles discussed & analysed here are very useful for the analysis of radiation ...

Gal: A Stepwise Model For Automated Cloud Shadow Detection In Hico Oceanic Imagery Utilizing Guided Filter, Pixel Assignment, And Geometric Linking, 2015 University of Southern Mississippi

#### Gal: A Stepwise Model For Automated Cloud Shadow Detection In Hico Oceanic Imagery Utilizing Guided Filter, Pixel Assignment, And Geometric Linking, Jennerpher Renee Meyers

*Dissertations*

Detection of cloud shadow pixels is an important step in image processing in several remote sensing ocean-color application domains, such as obtaining chlorophyll content. While shadow detection algorithms do exist, the vast majority are for over land which leaves few options for detection over water.

The detection of cloud shadow over water in HICO imagery is a unique problem. As its name implies, HICO (Hyperspectral Imager for the Coastal Ocean) imagery is produced for coastal and oceanic regions. Since land based algorithms remove water before processing, these approaches would not be applicable. The only currently published HICO shadow pixel detection ...

Accuracy Of Supervised Classification Of Cropland In Sub–Saharan Africa, 2015 University of Tennessee - Knoxville

#### Accuracy Of Supervised Classification Of Cropland In Sub–Saharan Africa, Sarah Lynn Lewis-Gonzales

*Masters Theses*

Mali is a country in sub–Saharan Africa where monitoring of cropped land area would greatly benefit food security initiatives and aid organizations. More importantly village–scale studies on cropped land are fundamental to making a difference in the way we look at cropped land area and food availability in this region of the world. Using Landsat surface reflectance imagery and World View–2 derived labeled data, this study focuses on accuracy of supervised classification methods while addressing various levels of scale. Several classification methods are taken into account to determine the best method possible to produce cropped area estimates ...

Book Review: How To Bake Pi: An Edible Exploration Of The Mathematics Of Mathematics, 2015 Gettysburg College

#### Book Review: How To Bake Pi: An Edible Exploration Of The Mathematics Of Mathematics, Darren B. Glass

*Math Faculty Publications*

If you think about it, mathematics is really just one big analogy. For one example, the very concept of the number three is an drawing an analogy between a pile with three rocks, a collection of three books, and a plate with three carrots on it. For another, the idea of a group is drawing an analogy between adding real numbers, multiplying matrices, and many other mathematical structures. So much of what we do as mathematicians involves abstracting concrete things, and what is abstraction other than a big analogy? [*excerpt*]

Mathematical Analysis Of Uniform Polyhedron (Trapezohedron) Having 2n Congruent Right Kite Faces, 4n Edges & 2n+2 Vertices Lying On A Spherical Surface By H.C. Rajpoot), 2015 M.M.M. University of Technology, Gorakhpur-273010 (UP) India

#### Mathematical Analysis Of Uniform Polyhedron (Trapezohedron) Having 2n Congruent Right Kite Faces, 4n Edges & 2n+2 Vertices Lying On A Spherical Surface By H.C. Rajpoot), Harish Chandra Rajpoot Rajpoot Hcr

*Harish Chandra Rajpoot H.C. Rajpoot*

The generalized formula are applicable on any uniform polyhedron having 2n congruent right kite faces, 4n edges & 2n+2 vertices lying on a spherical surface with a certain radius. These formula have been derived by the author Mr H.C. Rajpoot to analyse infinite no. of the uniform polyhedrons having congruent right kite faces simply by setting n=3,4,5,6,7,………………upto infinity, to calculate all the important parameters such as ratio of unequal edges, outer radius, inner radius, mean radius, surface area, volume, solid angles subtended by the polyhedron at its vertices, dihedral angles between the adjacent ...

Assessment Of Silk Degradation Using Pyrolysis, 2015 Bryant University

#### Assessment Of Silk Degradation Using Pyrolysis, Conor Makepeace

*Honors Projects in Science and Technology*

The purpose of this research is to investigate the molecular constitution of silk and the specific causes of post-production degradation in silk material. This capstone project focused specifically on the conditions and degradation of ancient Chinese silk products provided by the Chinese National Silk Museum. Modern silk products were artificially degraded and compared to the ancient silk using Py-GC-MS and comparative analytic techniques. This investigation revealed that the ancient silk products most likely underwent degradation in elevated temperatures while in the presence of moisture and the absence of sunlight or UV radiation during long term burial.

Spontaneous Dimension Reduction And The Existence Of A Local Lagrange-Hamilton Formalism For Given N-Dimensional Newtonian Equations Of Motion, 2015 University of North Georgia

#### Spontaneous Dimension Reduction And The Existence Of A Local Lagrange-Hamilton Formalism For Given N-Dimensional Newtonian Equations Of Motion, Piotr W. Hebda, Beata A. Hebda

*Faculty Publications*

A partially explicit construction of a Lagrange-Hamiltonian formalism for an arbitrary n -dimensional Newtonian system of equations of motion is given. Additional variables used in the construction are spontaneously reduced by the Dirac’s constraints resulting from degeneracy of the proposed Lagrangian, so that only the variables that appear in the original system of equations remain. A Hamiltonian and dynamical Dirac’s brackets are calculated.

Spontaneous Dimension Reduction And The Existence Of A Local Lagrangian For Given N-Dimensional Newtonian Equations Of Motion, 2015 University of North Georgia

#### Spontaneous Dimension Reduction And The Existence Of A Local Lagrangian For Given N-Dimensional Newtonian Equations Of Motion, Piotr W. Hebda, Beata A. Hebda

*Faculty Publications*

A partially explicit construction of a Lagrangian for an n -dimensional Newtonian system of equations of motion is given. Extra variables used in the construction are spontaneously reduced by the constraints resulting from degeneracy of the proposed Lagrangian, so that only the variables that appear in the original system of equations remain. An explicit example of a Lagrangian for a system not satisfying Helmholtz conditions is given.

The Cantor Trilogy, 2015 International Burch University Sarajevo

#### The Cantor Trilogy, Harun Šiljak

*Journal of Humanistic Mathematics*

The Cantor trilogy is a mathematical dystopia featuring JHM as an important part of that world... at least to humans.

Tematyka Prac Doktorskich, 2015 Wroclaw University of Technology

#### Tematyka Prac Doktorskich, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Additional Results For "Joint Entropy Of Continuously Differentiable Ultrasonic Waveforms" [J. Acoust. Soc. Am. 133(1), 283-300 (2013)], 2015 Washington University School of Medicine in St. Louis

#### Additional Results For "Joint Entropy Of Continuously Differentiable Ultrasonic Waveforms" [J. Acoust. Soc. Am. 133(1), 283-300 (2013)], M S. Hughes, J N. Marsh, S A. Wickline, John E. Mccarthy

*Mathematics Faculty Publications*

Previous results on the use of joint entropy for detection of targeted nanoparticles accumulating in the neovasculature of MDA435 tumors [Fig. 7 of M. S. Hughes et al., J. Acoust. Soc. Am. 133, 283–300 (2013)] are extended, with sensitivity improving by nearly another factor of 2. This result is obtained using a “quasi-optimal” reference waveform in the computation of the joint entropy imaging technique used to image the accumulating nanoparticles.

The Effect Of Spatial Patterns Of Soil Hydraulic Conductivity And Depth On Local And Hillslope Scale Shallow Water Table Dynamics, 2015 University of Montana - Missoula

#### The Effect Of Spatial Patterns Of Soil Hydraulic Conductivity And Depth On Local And Hillslope Scale Shallow Water Table Dynamics, Casey E. Ryan

*Theses, Dissertations, Professional Papers*

Much research in forested headwater catchments has focused on the role of topography for organizing subsurface flow and the hydrologic connectivity of upland flow paths to stream networks. However, little work has been conducted to evaluate how localized and hillslope scale patterns of hydraulic conductivity and soil depth contribute to spatial patterns of water table duration, magnitude, and connectivity. I monitored shallow groundwater dynamics in wells distributed across a 1st order hillslope in the Lubrecht Experimental Forest, Montana. Additionally, I collected in-situ measurements of soil saturated hydraulic conductivity and soil depth at 10m intervals across the study hillslope and compared ...

Zespół Energii Odnawialnej I Zrównoważonego Rozwoju (Eozr), 2015 Wroclaw University of Technology

#### Zespół Energii Odnawialnej I Zrównoważonego Rozwoju (Eozr), Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Renewable Energy And Sustainable Development (Resd) Group, 2015 Wroclaw University of Technology

#### Renewable Energy And Sustainable Development (Resd) Group, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

C.V., 2015 Wroclaw University of Technology

Inżynieria Chemiczna Lab., 2015 Wroclaw University of Technology

#### Inżynieria Chemiczna Lab., Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

On A Combined Adaptive Tetrahedral Tracing And Edge Diffraction Model, 2014 University of Nebraska-Lincoln

#### On A Combined Adaptive Tetrahedral Tracing And Edge Diffraction Model, Carl R. Hart

*Architectural Engineering -- Dissertations and Student Research*

A major challenge in architectural acoustics is the unification of diffraction models and geometric acoustics. For example, geometric acoustics is insufficient to quantify the scattering characteristics of acoustic diffusors. One method of quantifying the scattering characteristics of acoustic diffusers is through computational prediction, typically via the time-independent boundary element method (BEM). In contrast, time-domain computations are of interest for characterizing both the spatial and temporal scattering characteristics of acoustic diffusors. Hence, a method is sought that predicts acoustic scattering in the time-domain. A prediction method, which combines an advanced image source method and an edge diffraction model, is investigated for ...

Forecasting Longitudinal Changes In Oropharyngeal Tumor Volume, Position, And Morphology During Image-Guided Radiation Therapy, 2014 The University of Texas Graduate School of Biomedical Sciences at Houston

#### Forecasting Longitudinal Changes In Oropharyngeal Tumor Volume, Position, And Morphology During Image-Guided Radiation Therapy, Adam D. Yock

*UT GSBS Dissertations and Theses (Open Access)*

The purpose of this work was to generate, evaluate, and compare models that predict longitudinal changes in oropharyngeal tumor volume, position, and morphology during radiation therapy.

One volume, one position, and two morphology (size, shape, and position) feature vectors were used to describe 35 oropharyngeal gross tumor volumes (GTVs) during radiation therapy. The two morphology feature vectors comprised the coordinates of the GTV centroids and one of two shape descriptors. One shape descriptor was based on radial distances between the GTV centroid and 614 surface landmarks. The other was based on a spherical harmonic decomposition of these distances. For a ...