Optimum Gear Ratios For An Electric Vehicle,
2016
University of South Florida
Optimum Gear Ratios For An Electric Vehicle, Scott Parkinson
Undergraduate Journal of Mathematical Modeling: One + Two
The goal of this project is to determine the optimal gear ratios for a vehicle containing a four-speed transmission. This vehicle is required to reach a speed of 30 m/s in the minimum time possible. Equations for the velocity at each shift point were found. An equation for the total time that the vehicle took to reach 30 m/s was then derived and equations for the times spent in each gear were found through integration of the provided formula for acceleration. The optimal gear ratios were then found by taking the partial derivatives of the total time equation with respect …
The Numerical Solution Of The Helmholtz Equation For The Bloodcell Shape: Mars Project,
2016
Roger Williams University
The Numerical Solution Of The Helmholtz Equation For The Bloodcell Shape: Mars Project, Jill Kelly Resh
Mathematics Theses
The objective of this research is to investigate numerical solutions of several boundary value problems for the Helmholtz equation for the shape of a Biconcave Disk. The boundary value problems this research mainly focuses on are the Neumann and Robin boundary problems. The Biconcave Disk is a closed, simply connected, bounded shape modi ed from a sphere where the two sides concave toward the center, mapped by a sine curve. There are some numerical issues in this type of analysis; any integration is a ected by the wave number k, because of the oscillatory behavior of the fundamental solution of …
On Edge-Minimization Of Vertex Minimal Graphs With Dicyclic Automorphism Group,
2016
Otterbein University
On Edge-Minimization Of Vertex Minimal Graphs With Dicyclic Automorphism Group, Peter E. Huston
Undergraduate Honors Thesis Projects
We find the smallest degree of a graph with automorphism group isomorphic to the dicyclic group with 4n elements, denoted α(Dic_n). We also find the fewest edges a minimum-order graph with dicyclic automorphism group and a minimal number of vertices can have. For n not a power of 2, the value of α(Dic_n) is significantly less than the best previously known upper bound, 8n. Such an edge-minimized vertex-minimal graph is constructed and shown to have automorphism group Dic_n . That the exhibited graph is minimal is verified using a combination of techniques similar to those developed previously for Abelian groups …
Locally Anisotropic Toposes,
2016
CUNY Queensborough Community College
Locally Anisotropic Toposes, Jonathon Funk, Pieter Hofstra
Publications and Research
This paper continues the investigation of isotropy theory for toposes. We develop the theory of isotropy quotients of toposes, culminating in a structure theorem for a class of toposes we call locally anisotropic. The theory has a natural interpretation for inverse semigroups, which clarifies some aspects of how inverse semigroups and toposes are related.
On Randic Energy Of Graphs,
2016
University of Central Florida
On Randic Energy Of Graphs, Brittany Burns
Electronic Theses and Dissertations
In this research, we explore the subject of graph energy. We first discuss the connections between linear algebra and graph theory and review some important definitions and facts of these two fields. We introduce graph energy and provide some historical perspectives on the subject. Known results of graph energy are also mentioned and some relevant results are proven. We discuss some applications of graph energy in the physical sciences. Then, Randic energy is defined and results are given and proved for specific families of graphs. We focus on simple, connected graphs that are commonly studied in graph theory. Also, the …
My Math Gps: Elementary Algebra Guided Problem Solving (2016 Edition),
2016
CUNY Queensborough Community College
My Math Gps: Elementary Algebra Guided Problem Solving (2016 Edition), Jonathan Cornick, G Michael Guy, Karan Puri
Open Educational Resources
My Math GPS: Elementary Algebra Guided Problem Solving is a textbook that aligns to the CUNY Elementary Algebra Learning Objectives that are tested on the CUNY Elementary Algebra Final Exam (CEAFE). This book contextualizes arithmetic skills into Elementary Algebra content using a problem-solving pedagogy. Classroom assessments and online homework are available from the authors.
Automated Conjecturing Approach For Benzenoids,
2016
Virginia Commonwealth University
Automated Conjecturing Approach For Benzenoids, David Muncy
Theses and Dissertations
Benzenoids are graphs representing the carbon structure of molecules, defined by a closed path in the hexagonal lattice. These compounds are of interest to chemists studying existing and potential carbon structures. The goal of this study is to conjecture and prove relations between graph theoretic properties among benzenoids. First, we generate conjectures on upper bounds for the domination number in benzenoids using invariant-defined functions. This work is an extension of the ideas to be presented in a forthcoming paper. Next, we generate conjectures using property-defined functions. As the title indicates, the conjectures we prove are not thought of on our …
The Automorphism Group Of The Halved Cube,
2016
Virginia Commonwealth University
The Automorphism Group Of The Halved Cube, Benjamin B. Mackinnon
Theses and Dissertations
An n-dimensional halved cube is a graph whose vertices are the binary strings of length n, where two vertices are adjacent if and only if they differ in exactly two positions. It can be regarded as the graph whose vertex set is one partite set of the n-dimensional hypercube, with an edge joining vertices at hamming distance two. In this thesis we compute the automorphism groups of the halved cubes by embedding them in R n and realizing the automorphism group as a subgroup of GLn(R). As an application we show that a halved cube is a circulant graph if …
Identifying Data Centers From Satellite Imagery,
2016
South Dakota State University
Identifying Data Centers From Satellite Imagery, Adam Buskirk
Electronic Theses and Dissertations
We develop two different descriptors which can be utilized to describe satellite imagery. The first, the differential-magnitude and radius descriptor, describes a scene by computing the directional gradient of the scene with respect to a vector field whose solutions are circles around a pixel to be described, and then counts pixels in a descriptor matrix according to the magnitude of this gradient and the distance at which this magnitude occurs. The second, the radial Fourier descriptor, extracts from the scene a sequence of annuloid sectors, and uses this to approximate the behavior of the image on a circle around the …
Combinatorial Optimization Of Subsequence Patterns In Words,
2016
Georgia Southern University
Combinatorial Optimization Of Subsequence Patterns In Words, Matthew R. Just
College of Graduate Studies: Theses & Dissertations
Packing patterns in words concerns finding a word with the maximum number of a prescribed pattern. The majority of the work done thus far is on packing patterns into permutations. In 2002, Albert, Atkinson, Handley, Holton and Stromquist showed that there always exists a layered permutation containing the maximum number of a layered pattern among all permutations of length n. Consequently, the packing density for all but two (up to equivalence) permutation patterns up to length 4 can be obtained. In this thesis we consider the analogous question for colored patterns and permutations. By introducing the concept of colored blocks …
Geometric Deformations Of Sodalite Frameworks,
2016
Rider University
Geometric Deformations Of Sodalite Frameworks, Ciprian Borcea, Ileana Streinu
Computer Science: Faculty Publications
In mathematical crystallography and computational materials science, it is important to infer flexibility properties of framework materials from their geometric representation. We study combinatorial, geometric and kinematic properties for frameworks modeled on sodalite.
Classification Of Compact 2-Manifolds,
2016
Virginia Commonwealth University
Classification Of Compact 2-Manifolds, George H. Winslow
Theses and Dissertations
It is said that a topologist is a mathematician who can not tell the difference between a doughnut and a coffee cup. The surfaces of the two objects, viewed as topological spaces, are homeomorphic to each other, which is to say that they are topologically equivalent. In this thesis, we acknowledge some of the most well-known examples of surfaces: the sphere, the torus, and the projective plane. We then observe that all surfaces are, in fact, homeomorphic to either the sphere, the torus, a connected sum of tori, a projective plane, or a connected sum of projective planes. Finally, we …
Interval-Valued Neutrosophic Oversets, Neutrosophic Undersets, And Neutrosophic Offsets,
2016
University of New Mexico
Interval-Valued Neutrosophic Oversets, Neutrosophic Undersets, And Neutrosophic Offsets, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
We have proposed since 1995 the existence of degrees of membership of an element with respect to a neutrosophic set to also be partially or totally above 1 (over-membership), and partially or totally below 0 (under-membership) in order to better describe our world problems [published in 2007].
Multi-Type Display Calculus For Dynamic Epistemic Logic,
2016
Aix-Marseille Université
Multi-Type Display Calculus For Dynamic Epistemic Logic, Sabine Frittella, Giuseppe Greco, Alexander Kurz, Alessandra Palmigiano, Vlasta Sikimić
Engineering Faculty Articles and Research
In the present paper, we introduce a multi-type display calculus for dynamic epistemic logic, which we refer to as Dynamic Calculus. The displayapproach is suitable to modularly chart the space of dynamic epistemic logics on weaker-than-classical propositional base. The presence of types endows the language of the Dynamic Calculus with additional expressivity, allows for a smooth proof-theoretic treatment, and paves the way towards a general methodology for the design of proof systems for the generality of dynamic logics, and certainly beyond dynamic epistemic logic. We prove that the Dynamic Calculus adequately captures Baltag-Moss-Solecki’s dynamic epistemic logic, and enjoys Belnap-style cut …
A Computational And Theoretical Exploration Of The St. Petersburg Paradox,
2016
Butler University
A Computational And Theoretical Exploration Of The St. Petersburg Paradox, Alexander Olivero
Undergraduate Honors Thesis Collection
This thesis displays a sample distribution, generated from both a simulation (for large n) by computer program and explicitly calculated (for smaller n), that is not governed by the Central Limit Theorem and, in fact seems to display chaotic behavior. To our knowledge, the explicit calculation of the sample distribution function is new. This project outlines the results that have found a relation to number theory in a probabilistic game that has perplexed mathematicians for hundreds of years.
Nonorientable Lagrangian Cobordisms Between Legendrian Knots,
2016
Bryn Mawr College
Nonorientable Lagrangian Cobordisms Between Legendrian Knots, Orsola Capovilla-Searle, Lisa Trainer
Mathematics Faculty Research and Scholarship
In the symplectization of standard contact 33-space, R×R3ℝℝ3, it is known that an orientable Lagrangian cobordism between a Legendrian knot and itself, also known as an orientable Lagrangian endocobordism for the Legendrian knot, must have genus 00. We show that any Legendrian knot has a nonorientable Lagrangian endocobordism, and that the cross-cap genus of such a nonorientable Lagrangian endocobordism must be a positive multiple of 44. The more restrictive exact, nonorientable Lagrangian endocobordisms do not exist for any exactly fillable Legendrian knot but do exist for any stabilized Legendrian knot. Moreover, the relation defined by exact, nonorientable Lagrangian cobordism on …
Bayesian Exponential Random Graph Modeling Of Whole-Brain Structural Networks Across Lifespan,
2016
University Medical Center Utrecht
Bayesian Exponential Random Graph Modeling Of Whole-Brain Structural Networks Across Lifespan, Michel Sinke, Rick Dijkhuizen, Alberto Caimo, Cornelis Stam, Willem Otte
Articles
No abstract provided.
On Six-Parameter Fréchet Distribution: Properties And Applications,
2016
Benha University
On Six-Parameter Fréchet Distribution: Properties And Applications, Haitham M. Yousof, Ahmed Z. Afify, Abd El Hadi N. Ebraheim, Gholamhossein G. Hamedani, Nadeem Shafique Butt
Mathematics, Statistics and Computer Science Faculty Research and Publications
This paper introduces a new generalization of the transmuted Marshall-Olkin Fréchet distribution of Afify et al. (2015), using Kumaraswamy generalized family. The new model is referred to as Kumaraswamy transmuted Marshall-Olkin Fréchet distribution. This model contains sixty two sub-models as special cases such as the Kumaraswamy transmuted Fréchet, Kumaraswamy transmuted Marshall-Olkin, generalized inverse Weibull and Kumaraswamy Gumbel type II distributions, among others. Various mathematical properties of the proposed distribution including closed forms for ordinary and incomplete moments, quantile and generating functions and Rényi and η-entropies are derived. The unknown parameters of the new distribution are estimated using the maximum …
Certain Characterizations Of Recently Introduced Distributions,
2016
Marquette University
Certain Characterizations Of Recently Introduced Distributions, Gholamhossein G. Hamedani, Seyed Morteza Najibi
Mathematics, Statistics and Computer Science Faculty Research and Publications
Various characterizations of twenty two recently introduced distributions are presented. These characterizations are based on: (I) ration of two truncated moments; (ii) the hazard function and (iii) conditional expectations.
A New Weibull-G Family Of Distributions,
2016
Islamia University, Bahawalpur
A New Weibull-G Family Of Distributions, M. H. Tahir, Muhammad Zubair, M. Mansoor, Gauss M. Cordeiro, Morad Alizadeh, Gholamhossein Hamedani
Mathematics, Statistics and Computer Science Faculty Research and Publications
Statistical analysis of lifetime data is an important topic in reliability engineering, biomedical and social sciences and others. We introduce a new generator based on the Weibull random variable called the new Weibull-G family. We study some of its mathematical properties. Its density function can be symmetrical, left-skewed, right-skewed, bathtub and reversed-J shaped, and has increasing, decreasing, bathtub, upside-down bathtub, J, reversed-J and S shaped hazard rates. Some special models are presented. We obtain explicit expressions for the ordinary and incomplete moments, quantile and generating functions, Renyi entropy, order statistics and reliability. Three useful characterizations based on truncated moments are …
