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.

3d Printing, 2015 William & Mary

#### 3d Printing, Jackson B. Stone

*Undergraduate Honors Theses*

This thesis, while providing a scholarly review of historical and contemporary developments alike, communicates to the lay reader the historical, current, and future impacts of 3D printing on society in the United States.

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.

Mass Additivity And A Priori Entailment, 2015 Chapman University

#### Mass Additivity And A Priori Entailment, Kelvin J. Mcqueen

*Philosophy Faculty Articles and Research*

The principle of mass additivity states that the mass of a composite object is the sum of the masses of its elementary components. Mass additivity is true in Newtonian mechanics but false in special relativity. Physicists have explained why mass additivity is true in Newtonian mechanics by reducing it to Newton’s microphysical laws. This reductive explanation does not fit well with deducibility theories of reductive explanation such as the modern Nagelian theory of reduction, and the a priori entailment theory of reduction that is prominent in the philosophy of mind. Nonetheless, I argue that a reconstruction of the explanation ...

Robust Optimality Of Gaussian Noise Stability, 2015 University of Pennsylvania

#### Robust Optimality Of Gaussian Noise Stability, Elchanan Mossel, Joe Neeman

*Statistics Papers*

We prove that under the Gaussian measure, half-spaces are uniquely the most noise stable sets. We also prove a quantitative version of uniqueness, showing that a set which is almost optimally noise stable must be close to a half-space. This extends a theorem of Borell, who proved the same result but without uniqueness, and it also answers a question of Ledoux, who asked whether it was possible to prove Borell’s theorem using a direct semigroup argument. Our quantitative uniqueness result has various applications in diverse fields.

Inżynieria Chemiczna Ćw., 2015 Wroclaw University of Technology

Tematyka Prac Doktorskich, 2015 Wroclaw University of Technology

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

*Wojciech Budzianowski*

No abstract provided.

Sfa Weather Station-January 2015, 2015 Arthur Temple College of Forestry and Agriculture, Stephen F. Austin State University

#### Sfa Weather Station-January 2015, Arthur Temple College Of Forestry And Agriculture, Stephen F. Austin State University

*Weather Station Data*

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.

Axial Vibrations Of Brass Wind Instrument Bells And Their Acoustical Influence: Experiments, 2015 Department of Physics, Rollins College

#### Axial Vibrations Of Brass Wind Instrument Bells And Their Acoustical Influence: Experiments, Thomas R. Moore, Britta R. Gorman, Michelle Rokni, Wilfried Kausel, Vasileios Chatziioannou

*Faculty Publications*

It has recently been proposed that the effects of structural vibrations on the radiated sound ofbrass wind instruments may be attributable to axial modes of vibration with mode shapes that contain no radial nodes [Kausel, Chatziioannou, Moore, Gorman, and Rokni, J. Acoust. Soc. Am.137, 3149–3162 (2015)]. Results of experiments are reported that support this theory. Mechanical measurements of a trumpet bell demonstrate that these axial modes do exist inbrass wind instruments. The quality factor of the mechanical resonances can be on the order of 10 or less, making them broad enough to encompass the frequency range of previously ...

255 Compiled And Solved Problems In Geometry And Trigonometry, 2015 University of New Mexico

#### 255 Compiled And Solved Problems In Geometry And Trigonometry, Florentin Smarandache

*Mathematics and Statistics Faculty and Staff Publications*

No abstract provided.

Unmatter Plasma, Relativistic Oblique-Length Contraction Factor, Neutrosophic Diagram And Neutrosophic Degree Of Paradoxicity. Articles And Notes, 2015 University of New Mexico

#### Unmatter Plasma, Relativistic Oblique-Length Contraction Factor, Neutrosophic Diagram And Neutrosophic Degree Of Paradoxicity. Articles And Notes, Florentin Smarandache

*Mathematics and Statistics Faculty and Staff Publications*

No abstract provided.

Topological Complexity In Protein Structures, 2015 Pomona College

#### Topological Complexity In Protein Structures, Erica Flapan, Gabriella Heller '14

*Pomona Faculty Publications and Research*

For DNA molecules, topological complexity occurs exclusively as the result of knotting or linking of the polynucleotide backbone. By contrast, while a few knots and links have been found within the polypeptide backbones of some protein structures, non-planarity can also result from the connectivity between a polypeptide chain and inter- and intra-chain linking via cofactors and disulfide bonds. In this article, we survey the known types of knots, links, and non-planar graphs in protein structures with and without including such bonds and cofactors. Then we present new examples of protein structures containing Möbius ladders and other non-planar graphs as a ...

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

*Graduate Student 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), 2014 Wroclaw University of Technology

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

*Wojciech Budzianowski*

No abstract provided.

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

*The University of Texas MD Anderson Cancer Center UTHealth Graduate School of Biomedical Sciences 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 ...

Performance Evaluation Of Material Decomposition Using Rapid Kvp-Switching Dual-Energy Ct For Assessing Bone Mineral Density, 2014 The University of Texas Graduate School of Biomedical Sciences at Houston

#### Performance Evaluation Of Material Decomposition Using Rapid Kvp-Switching Dual-Energy Ct For Assessing Bone Mineral Density, John M. Wait

*The University of Texas MD Anderson Cancer Center UTHealth Graduate School of Biomedical Sciences Dissertations and Theses (Open Access)*

Osteoporosis is diagnosed by assessing the bone mineral density (BMD) of the trabecular bone, and has previously been characterized with dual-energy x-ray absorptiometry (DXA) or single-energy computed tomography (SECT). Dual-energy computed tomography (DECT) is able to create two three-dimensional sets of images representing the densities of two materials in a given basis pair. DECT is theoretically capable of providing a true density measurement of trabecular bone material with the proper material basis pair.

Using the rapid kVp-switching GE HD750 scanner, the concentrations of various solutes were assessed in two-material syringe-phantoms in different experimental conditions with DECT material density images, SECT ...