Interval Neutrosophic Rough Set,
2014
University of New Mexico
Interval Neutrosophic Rough Set, Said Broumi, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
This paper combines interval-valued neutrosophic sets and rough sets. It studies rougheness in interval-valued neutrosophic sets and some of its properties. Finally we propose a Hamming distance between lower an upper approximations of interval neutrosophic sets.
Importance Of Sources Using The Repeated Fusion Method And The Proportional Conflict Redistribution Rules #5 And #6,
2014
University of New Mexico
Importance Of Sources Using The Repeated Fusion Method And The Proportional Conflict Redistribution Rules #5 And #6, Florentin Smarandache, Jean Dezert
Branch Mathematics and Statistics Faculty and Staff Publications
We present in this paper some examples of how to compute by hand the PCR5 fusion rule for three sources, so the reader will better understand its mechanism. We also take into consideration the importance of sources, which is different from the classical discounting of sources.
Statistical Analysis Of The Variability And Reliability Of Eye-Tracking Test In Measuring Mild Traumatic Brain Injury,
2014
University of Richmond
Statistical Analysis Of The Variability And Reliability Of Eye-Tracking Test In Measuring Mild Traumatic Brain Injury, Xi He
Honors Theses
Saccadic eye-tracking tests have been advocated as a useful tool to distinguish mTBI patients from healthy people. However, intra-individual variances sometimes interfere with the interpretation of eye-tracking results, especially in experiments when group size is restricted. This study analyzes eye-tracking results of 14 mTBI patients taking the test twice with no medical administration in between. Using more accurate models to fit each individual's result, variables such as asymptote (of the fit functions) and hypothetical values for peak velocity, peak acceleration, and duration are derived for variability analysis. We conclude that the asymptotes for peak velocity and peak acceleration are the …
Tropical Convexity Over Max-Min Semiring,
2014
West Chester University of Pennsylvania
Tropical Convexity Over Max-Min Semiring, Viorel Nitica, Sergei Sergeev
Mathematics Faculty Publications
No abstract provided.
A Metric On Max-Min Algebra,
2014
University of Oregon
A Metric On Max-Min Algebra, Jonathan Eskeldson, Miriam Jaffe, Viorel Nitica
Mathematics Faculty Publications
No abstract provided.
On The Range Of The Attenuated Radon Transform In Strictly Convex Sets.,
2014
University of Central Florida
On The Range Of The Attenuated Radon Transform In Strictly Convex Sets., Kamran Sadiq
Electronic Theses and Dissertations
In the present dissertation, we characterize the range of the attenuated Radon transform of zero, one, and two tensor fields, supported in strictly convex set. The approach is based on a Hilbert transform associated with A-analytic functions of A. Bukhgeim. We first present new necessary and sufficient conditions for a function to be in the range of the attenuated Radon transform of a sufficiently smooth function supported in the convex set. The approach is based on an explicit Hilbert transform associated with traces of the boundary of A-analytic functions in the sense of A. Bukhgeim. We then uses the range …
Functional Data Analysis And Its Application To Cancer Data,
2014
University of Central Florida
Functional Data Analysis And Its Application To Cancer Data, Evgeny Martinenko
Electronic Theses and Dissertations
The objective of the current work is to develop novel procedures for the analysis of functional data and apply them for investigation of gender disparity in survival of lung cancer patients. In particular, we use the time-dependent Cox proportional hazards model where the clinical information is incorporated via time-independent covariates, and the current age is modeled using its expansion over wavelet basis functions. We developed computer algorithms and applied them to the data set which is derived from Florida Cancer Data depository data set (all personal information which allows to identify patients was eliminated). We also studied the problem of …
Inversion Of The Broken Ray Transform,
2014
University of Central Florida
Inversion Of The Broken Ray Transform, Roman Krylov
Electronic Theses and Dissertations
The broken ray transform (BRT) is an integral of a function along a union of two rays with a common vertex. Consider an X-ray beam scanning an object of interest. The ray undergoes attenuation and scatters in all directions inside the object. This phenomena may happen repeatedly until the photons either exit the object or are completely absorbed. In our work we assume the single scattering approximation when the intensity of the rays scattered more than once is negligibly small. Among all paths that the scattered rays travel inside the object we pick the one that is a union of …
Analytical Solutions To Nonlinear Differential Equations Arising In Physical Problems,
2014
University of Central Florida
Analytical Solutions To Nonlinear Differential Equations Arising In Physical Problems, Mathew Baxter
Electronic Theses and Dissertations
Nonlinear partial differential equations are difficult to solve, with many of the approximate solutions in the literature being numerical in nature. In this work, we apply the Homotopy Analysis Method to give approximate analytical solutions to nonlinear ordinary and partial differential equations. The main goal is to apply different linear operators, which can be chosen, to solve nonlinear problems. In the first three chapters, we study ordinary differential equations (ODEs) with one or two linear operators. As we progress, we apply the method to partial differential equations (PDEs) and use several linear operators. The results are all purely analytical, meaning …
An Explicit Construction Of Kleinian Groups With Small Limit Sets,
2014
Sacred Heart University
An Explicit Construction Of Kleinian Groups With Small Limit Sets, Andrew Lazowski
Mathematics Faculty Publications
This paper provides an explicit construction of Kleinian groups that have small Hausdorff dimension of their limit sets. It is known that such groups exist and they can be constructed by results of Patterson. The purpose here is to work out the methods of calculation.
Neutrosophic Crisp Open Set And Neutrosophic Crisp Continuity Via Neutrosophic Crisp Ideals,
2014
University of New Mexico
Neutrosophic Crisp Open Set And Neutrosophic Crisp Continuity Via Neutrosophic Crisp Ideals, A. A. Salama, Said Broumi, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
The focus of this paper is to propose a new notion of neutrosophic crisp sets via neutrosophic crisp ideals and to study some basic operations and results in neutrosophic crisp topological spaces. Also, neutrosophic crisp L-openness and neutrosophic crisp L- continuity are considered as a generalizations for a crisp and fuzzy concepts. Relationships between the above new neutrosophic crisp notions and the other relevant classes are investigated. Finally, we define and study two different types of neutrosophic crisp functions.
Communicative Universal Convertibility Matter-Energy-Information,
2014
University of New Mexico
Communicative Universal Convertibility Matter-Energy-Information, Florentin Smarandache, Stefan Vladutescu
Branch Mathematics and Statistics Faculty and Staff Publications
The research aims to reveal and prove the thesis of the neutral and convertibility relationship between constituent constructive elements of the universe: matter, energy and information. The approach perspective is a computationally-communicative-neutrosophic one. We configure a coherent and cohesive ideation line. Matter, energy and information are fundamental elements of the world. Among them, there is an inextricable multiple, elastic and evolutionary connection. The elements are defined by the connections between them. Our hypothesis is that the relationship between matter, energy and information is a neutral one. This relationship is not required by the evidence. At this level, it does not …
New Operations On Intuitionistic Fuzzy Soft Sets Based On First Zadeh's Logical Operators,
2014
University of New Mexico
New Operations On Intuitionistic Fuzzy Soft Sets Based On First Zadeh's Logical Operators, Florentin Smarandache, Said Broumi, Pinaki Majumdar
Branch Mathematics and Statistics Faculty and Staff Publications
In this paper , we have defined First Zadeh’s implication , First Zadeh’s intuitionistic fuzzy conjunction and intuitionistic fuzzy disjunction of two intuitionistic fuzzy soft sets and some their basic properties are studied with proofs and examples.
Smooth Peano Functions For Perfect Subsets Of The Real Line,
2014
West Virginia University
Smooth Peano Functions For Perfect Subsets Of The Real Line, Krzysztof Ciesielski
Faculty & Staff Scholarship
In this paper we investigate for which closed subsets P of the real line R there exists a continuous map from P onto P 2 and, if such a function exists, how smooth can it be. We show that there exists an infinitely many times differentiable function f : R → R 2 which maps an unbounded perfect set P onto P 2 . At the same time, no continuously differentiable function f : R → R 2 can map a compact perfect set onto its square. Finally, we show that a disconnected compact perfect set P admits a continuous …
Topological Duality And Lattice Expansions, Ii: Lattice Expansions With Quasioperators,
2014
Chapman University
Topological Duality And Lattice Expansions, Ii: Lattice Expansions With Quasioperators, M. Andrew Moshier, Peter Jipsen
Mathematics, Physics, and Computer Science Faculty Articles and Research
The main objective of this paper (the second of two parts) is to show that quasioperators can be dealt with smoothly in the topological duality established in Part I. A quasioperator is an operation on a lattice that either is join preserving and meet reversing in each argument or is meet preserving and join reversing in each argument. The paper discusses several common examples, including orthocomplementation on the closed subspaces of a fixed Hilbert space (sending meets to joins), modal operators auS and a- on a bounded modal lattice (preserving joins, resp. meets), residuation on a bounded residuated lattice (sending …
A Decomposition Of Gallai Multigraphs,
2014
Lehigh University
A Decomposition Of Gallai Multigraphs, Alexander Halperin, Colton Magnant, Kyle Pula
Mathematical Sciences: Faculty Publications
An edge-colored cycle is rainbow if its edges are colored with distinct colors. A Gallai (multi)graph is a simple, complete, edge-colored (multi)graph lacking rainbow triangles. As has been previously shown for Gallai graphs, we show that Gallai multigraphs admit a simple iterative construction. We then use this structure to prove Ramsey-type results within Gallai colorings. Moreover, we show that Gallai multigraphs give rise to a surprising and highly structured decomposition into directed trees.
Building A Better Bijection Between Classes Of Compositions,
2014
Georgia Southern University
Building A Better Bijection Between Classes Of Compositions, James D. Diffenderfer
Mathematical Sciences: Faculty Publications
A bijective proof is given for the following theorem: The number of compositions of n into parts congruent to a (mod b) equals the number of compositions of n + b - a into parts congruent to b (mod a) that are greater than or equal to b. The bijection is then shown to preserve palindromicity.
A New Class Of Generalized Dagum Distribution With Applications To Income And Lifetime Data,
2014
Georgia Southern University
A New Class Of Generalized Dagum Distribution With Applications To Income And Lifetime Data, Broderick O. Oluyede, Shujiao Huang, Mavis Pararai
Mathematical Sciences: Faculty Publications
The generalized beta distribution of the second kind (GB2), McDonald [11], McDonald and Xu [12] is an important distribution with applications in finance and actuarial sciences, as well as economics, where Dagum distribution which is a sub-model of GB2 distribution plays an important role in size distribution of personal income. In this note, a new class of generalized Dagum distribution called gamma-Dagum distribution is presented. The gamma-Dagum (GD) distribution which includes the gamma-Burr III (GB III), gamma-Fisk or gamma-log logistic (GF of GLLog), Zografos and Balakrishnan-Dagum (ZB-D), ZB-Burr III (ZB-B III), ZB-Fisk of ZB-Log logistic (ZB-F or ZB-LLog), Burr III …
Function Of Several Variable,
2014
Parkland College
Function Of Several Variable, Weiting Li
A with Honors Projects
This Parkland A with Honors project discusses the function of several variables, it's limits and partial derivatives.
Theoretical Properties Of The Weighted Feller-Pareto Distributions,
2014
Georgia Southern University
Theoretical Properties Of The Weighted Feller-Pareto Distributions, Oluseyi Odubote, Broderick O. Oluyede
Mathematical Sciences: Faculty Publications
In this paper, for the first time, a new six-parameter class of distributions called weighted Feller-Pareto (WFP) and related family of distributions is proposed. This new class of distributions contains several other Pareto-type distributions such as length-biased (LB) Pareto, weighted Pareto (WP I, II, III, and IV), and Pareto (P I, II, III, and IV) distributions as special cases. The pdf, cdf, hazard and reverse hazard functions, monotonicity properties, moments, entropy measures including Renyi, Shannon and s-entropies are derived.
