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Articles 1  30 of 101
FullText Articles in Special Functions
Approximate 2Dimensional Pexider Quadratic Functional Equations In Fuzzy Normed Spaces And Topological Vector Space, Mohammad A. Abolfathi, Ali Ebadian
Approximate 2Dimensional Pexider Quadratic Functional Equations In Fuzzy Normed Spaces And Topological Vector Space, Mohammad A. Abolfathi, Ali Ebadian
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we prove the HyersUlam stability of the 2dimensional Pexider quadratic functional equation in fuzzy normed spaces. Moreover, we prove the HyersUlam stability of this functional equation, where f, g are functions defined on an abelian group with values in a topological vector space.
BesselMaitland Function Of Several Variables And Its Properties Related To Integral Transforms And Fractional Calculus, Ankita Chandola, Rupakshi M. Pandey, Ritu Agarwal
BesselMaitland Function Of Several Variables And Its Properties Related To Integral Transforms And Fractional Calculus, Ankita Chandola, Rupakshi M. Pandey, Ritu Agarwal
Applications and Applied Mathematics: An International Journal (AAM)
In the recent years, various generalizations of Bessel function were introduced and its various properties were investigated by many authors. BesselMaitland function is one of the generalizations of Bessel function. The objective of this paper is to establish a new generalization of BesselMaitland function using the extension of beta function involving Appell series and Lauricella functions. Some of its properties including recurrence relation, integral representation and differentiation formula are investigated. Moreover, some properties of RiemannLiouville fractional operator associated with the new generalization of BesselMaitland function are also discussed.
Axisymmetric Thermoelastic Response In A SemiElliptic Plate With Kassir’S Nonhomogeneity In The Thickness Direction, Sonal Bhoyar, Vinod Varghese, Lalsingh Khalsa
Axisymmetric Thermoelastic Response In A SemiElliptic Plate With Kassir’S Nonhomogeneity In The Thickness Direction, Sonal Bhoyar, Vinod Varghese, Lalsingh Khalsa
Applications and Applied Mathematics: An International Journal (AAM)
The main objective is to investigate the transient thermoelastic reaction in a nonhomogeneous semielliptical elastic plate heated sectionally on the upper side of the semielliptic region. It has been assumed that the thermal conductivity, calorific capacity, elastic modulus and thermal coefficient of expansion were varying through thickness of the nonhomogeneous material according to Kassir’s nonhomogeneity relationship. The transient heat conduction differential equation is solved using an integral transformation technique in terms of Mathieu functions. In these formulations, modified total strain energy is obtained by incorporating the resulting moment and force within the energy term, thus reducing the step of ...
Parametric Art, Shaun Pollard, Daanial Ahmad, Satyanand Singh
Parametric Art, Shaun Pollard, Daanial Ahmad, Satyanand Singh
Publications and Research
Lissajous curves, named after Jules Antoine Lissajous (18221880) are generated by the parametric equations 𝑥=𝐴𝑐𝑜𝑠(𝑎𝑡) and 𝑦=𝐵𝑠𝑖𝑛(𝑏𝑡) in its simplistic form. Others have studied these curves and their applications like Nathaniel Bowditch in 1815, and they are often referred to as Bowditch curves as well. Lissajous curves are found in engineering, mathematics, graphic design, physics, and many other backgrounds. In this project entitled “Parametric Art” this project will focus on analyzing these types of equations and manipulating them to create art. We will be investigating these curves by answering a series of questions that elucidate their ...
Applying The Data: Predictive Analytics In Sport, Anthony Teeter, Margo Bergman
Applying The Data: Predictive Analytics In Sport, Anthony Teeter, Margo Bergman
Access*: Interdisciplinary Journal of Student Research and Scholarship
The history of wagering predictions and their impact on wide reaching disciplines such as statistics and economics dates to at least the 1700’s, if not before. Predicting the outcomes of sports is a multibilliondollar business that capitalizes on these tools but is in constant development with the addition of big data analytics methods. Sportsline.com, a popular website for fantasy sports leagues, provides odds predictions in multiple sports, produces proprietary computer models of both winning and losing teams, and provides specific point estimates. To test likely candidates for inclusion in these prediction algorithms, the authors developed a computer model ...
Controlling Aircraft Yaw Movement By Interval Type2 Fuzzy Logic, Yamama Shafeek, Laith Majeed, Rasha Naji
Controlling Aircraft Yaw Movement By Interval Type2 Fuzzy Logic, Yamama Shafeek, Laith Majeed, Rasha Naji
Emirates Journal for Engineering Research
Aircraft yaw movement is essential in maneuvering; it has been controlled by some methods which achieved tracking but not fast enough. This paper performs the dynamic modeling of aircraft yaw movement and develops PI and PIlike interval type2 fuzzy logic controller for the model. The mathematical model is derived by inserting the parameters values of singleengine Navion aircraft into standard equations. Using Matlab/ Simulink platform, the controllers' effectivity is tested and verified in two different cases; system without disturbance and when system is disturbed by some wind gust to investigate the system robustness. Simulation results show that PI controller response ...
Statistical Methods For Resolving Intratumor Heterogeneity With SingleCell Dna Sequencing, Alexander Davis
Statistical Methods For Resolving Intratumor Heterogeneity With SingleCell Dna Sequencing, Alexander Davis
The University of Texas MD Anderson Cancer Center UTHealth Graduate School of Biomedical Sciences Dissertations and Theses (Open Access)
Tumor cells have heterogeneous genotypes, which drives progression and treatment resistance. Such genetic intratumor heterogeneity plays a role in the process of clonal evolution that underlies tumor progression and treatment resistance. Singlecell DNA sequencing is a promising experimental method for studying intratumor heterogeneity, but brings unique statistical challenges in interpreting the resulting data. Researchers lack methods to determine whether sufficiently many cells have been sampled from a tumor. In addition, there are no proven computational methods for determining the ploidy of a cell, a necessary step in the determination of copy number. In this work, software for calculating probabilities from ...
Some Summation Theorems For Clausen’S Hypergeometric Functions With Unit Argument, M. I. Qureshi, Mohammad Shadab
Some Summation Theorems For Clausen’S Hypergeometric Functions With Unit Argument, M. I. Qureshi, Mohammad Shadab
Applications and Applied Mathematics: An International Journal (AAM)
Motivated by the work on hypergeometric summation theorems, we establish new summation formula for Clausen’s hypergeometric function with unit argument in terms of pi and natural logarithms of some rational and irrational numbers. For the application purpose, we derive some new and modified summation theorems for Clausen’s hypergeometric functions using our new formula.
Some Contiguous Relation On KGeneralised Hypergeometric Function, Ekta Mittal, Sunil Joshi, Sona Kumari
Some Contiguous Relation On KGeneralised Hypergeometric Function, Ekta Mittal, Sunil Joshi, Sona Kumari
Applications and Applied Mathematics: An International Journal (AAM)
In this research work our aim is to determine some contiguous relations and some integral transform of the kgeneralised hypergeometric functions, by using the concept of “kGamma and kBeta function”. “Obviously if k approaches 1”, then the contiguous function relations become Gauss contiguous relations.
Phylogenetic Networks And Functions That Relate Them, Drew Scalzo
Phylogenetic Networks And Functions That Relate Them, Drew Scalzo
Williams Honors College, Honors Research Projects
Phylogenetic Networks are defined to be simple connected graphs with exactly n labeled nodes of degree one, called leaves, and where all other unlabeled nodes have a degree of at least three. These structures assist us with analyzing ancestral history, and its close relative  phylogenetic trees  garner the same visualization, but without the graph being forced to be connected. In this paper, we examine the various characteristics of Phylogenetic Networks and functions that take these networks as inputs, and convert them to more complex or simpler structures. Furthermore, we look at the nature of functions as they relate to the ...
Symbolic Construction Of Matrix Functions In A Numerical Environment, Evan D. Butterworth
Symbolic Construction Of Matrix Functions In A Numerical Environment, Evan D. Butterworth
Honors College Theses
Within the field of Computational Science, the importance of programs and tools involving systems of differential equations cannot be overemphasized. Many industrial sites, such as nuclear power facilities, are unable to safely operate without these systems. This research explores and studies matrix differential equations and their applications to real computing structures. Through the use of software such as MatLab, I have constructed a toolbox, or collection, of programs that will allow any user to easily calculate a variety of matrix functions. The first tool in this collection is a program that computes the matrix exponential, famously studied and presented by ...
General NonlinearMaterial Elasticity In Classical OneDimensional Solid Mechanics, Ronald Joseph Giardina Jr
General NonlinearMaterial Elasticity In Classical OneDimensional Solid Mechanics, Ronald Joseph Giardina Jr
University of New Orleans Theses and Dissertations
We will create a class of generalized ellipses and explore their ability to define a distance on a space and generate continuous, periodic functions. Connections between these continuous, periodic functions and the generalizations of trigonometric functions known in the literature shall be established along with connections between these generalized ellipses and some spectrahedral projections onto the plane, more specifically the wellknown multifocal ellipses. The superellipse, or Lam\'{e} curve, will be a special case of the generalized ellipse. Applications of these generalized ellipses shall be explored with regards to some onedimensional systems of classical mechanics. We will adopt the RambergOsgood ...
Algorithms To Approximate Solutions Of Poisson's Equation In Three Dimensions, Ray Dambrose
Algorithms To Approximate Solutions Of Poisson's Equation In Three Dimensions, Ray Dambrose
RoseHulman Undergraduate Mathematics Journal
The focus of this research was to develop numerical algorithms to approximate solutions of Poisson's equation in three dimensional rectangular prism domains. Numerical analysis of partial differential equations is vital to understanding and modeling these complex problems. Poisson's equation can be approximated with a finite difference approximation. A system of equations can be formed that gives solutions at internal points of the domain. A computer program was developed to solve this system with inputs such as boundary conditions and a nonhomogenous source function. Approximate solutions are compared with exact solutions to prove their accuracy. The program is tested ...
Using Canalization For The Control Of Discrete Networks, David Murrugarra
Using Canalization For The Control Of Discrete Networks, David Murrugarra
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Radial Basis Function Generated Finite Differences For The Nonlinear Schrodinger Equation, Justin Ng
Radial Basis Function Generated Finite Differences For The Nonlinear Schrodinger Equation, Justin Ng
Theses and Dissertations
Solutions to the onedimensional and twodimensional nonlinear Schrodinger (NLS) equation are obtained numerically using methods based on radial basis functions (RBFs). Periodic boundary conditions are enforced with a nonperiodic initial condition over varying domain sizes. The spatial structure of the solutions is represented using RBFs while several explicit and implicit iterative methods for solving ordinary differential equations (ODEs) are used in temporal discretization for the approximate solutions to the NLS equation. Splitting schemes, integration factors and hyperviscosity are used to stabilize the timestepping schemes and are compared with one another in terms of computational efficiency and accuracy. This thesis shows ...
NsCross EntropyBased Magdm Under SingleValued Neutrosophic Set Environment, Florentin Smarandache, Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy
NsCross EntropyBased Magdm Under SingleValued Neutrosophic Set Environment, Florentin Smarandache, Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy
Mathematics and Statistics Faculty and Staff Publications
A singlevalued neutrosophic set has king power to express uncertainty characterized by indeterminacy, inconsistency and incompleteness. Most of the existing singlevalued neutrosophic cross entropy bears an asymmetrical behavior and produces an undefined phenomenon in some situations. In order to deal with these disadvantages, we propose a new cross entropy measure under a singlevalued neutrosophic set (SVNS) environment, namely NScross entropy, and prove its basic properties. Also we define weighted NScross entropy measure and investigate its basic properties. We develop a novel multiattribute group decisionmaking (MAGDM) strategy that is free from the drawback of asymmetrical behavior and undefined phenomena. It is ...
Progenitors Involving Simple Groups, Nicholas R. Andujo
Progenitors Involving Simple Groups, Nicholas R. Andujo
Electronic Theses, Projects, and Dissertations
I will be going over writing representations of both permutation and monomial progenitors, which include 2^{*4} : D_4, 2^(*7) :L_2 (7) as permutation progenitors, and monomial progenitors 7^(*2) :_m S_3 \times 2, 11^{*2} :_m (5:2)^{*}5, 11^{*3} :_m (25:3), 11^{*4} :_m (4 : 5)^{*}5. Also, the images of these different progenitors at both lower and higher fields and orders. \\ We will also do the double coset enumeration of S5 over D6, S6 over 5 : 4, A_5 x A_5 over (5:2)^{*}5, and go on to also do the double coset enumeration over ...
Positive Definite Functions And Dual Pairs Of Locally Convex Spaces, Daniel Alpay, Saak Gabriyelyan
Positive Definite Functions And Dual Pairs Of Locally Convex Spaces, Daniel Alpay, Saak Gabriyelyan
Mathematics, Physics, and Computer Science Faculty Articles and Research
Using pairs of locally convex topological vector spaces in duality and topologies defined by directed families of sets bounded with respect to the duality, we prove general factorization theorems and general dilation theorems for operatorvalued positive definite functions.
Distributed Evolution Of Spiking Neuron Models On Apache Mahout For Time Series Analysis, Andrew Palumbo
Distributed Evolution Of Spiking Neuron Models On Apache Mahout For Time Series Analysis, Andrew Palumbo
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Conference Program, University Of Dayton
Conference Program, University Of Dayton
Summer Conference on Topology and Its Applications
Document provides a list of the sessions, speakers, workshops, and committees of the 32nd Summer Conference on Topology and Its Applications.
A Compact Minimal Space Whose Cartesian Square Is Not Minimal, Jan P. Boronski, Alex Clark, Piotr Oprocha
A Compact Minimal Space Whose Cartesian Square Is Not Minimal, Jan P. Boronski, Alex Clark, Piotr Oprocha
Summer Conference on Topology and Its Applications
A compact metric space X is called minimal if it admits a minimal homeomorphism; i.e. a homeomorphism h:X→ X such that the forward orbit {h^{n}(x):n=1, 2, ...} is dense in X, for every x ∈ X. In my talk I shall outline a construction of a family of 1dimensional minimal spaces from "A compact minimal space Y such that its square YxY is not minimal" whose existence answer the following long standing problem in the negative.
Problem. Is minimality preserved under Cartesian product in the class of compact spaces?
Note that for the fixed point property ...
A New Class Of Dendrites Having Unique Second Symmetric Product, David Maya, José G. Anaya, Fernando Orozco Zitli
A New Class Of Dendrites Having Unique Second Symmetric Product, David Maya, José G. Anaya, Fernando Orozco Zitli
Summer Conference on Topology and Its Applications
The second symmetric product of a continuum X, F_{2}(X), is the hyperspace consisting of all nonempty subsets of X having at most two points. A continuum X has unique hyperspace F_{2}(X) provided that each continuum Y satisfying that F_{2}(X) and F_{2}(Y) are homeomorphic must be homeomorphic to X. In this talk, a new class of dendrites having unique F_{2}(X) will be presented.
Cohen Reals And The Sequential Order Of Groups, Alexander Shibakov
Cohen Reals And The Sequential Order Of Groups, Alexander Shibakov
Summer Conference on Topology and Its Applications
We show that adding uncountably many Cohen reals to a model of diamond results in a model with no countable sequential group with an intermediate sequential order. The same model has an uncountable group of sequential order 2. We also discuss related questions.
Sequential Order Of Compact Scattered Spaces, Alan Dow
Sequential Order Of Compact Scattered Spaces, Alan Dow
Summer Conference on Topology and Its Applications
A space is sequential if the closure of set can be obtained by iteratively adding limits of converging sequences. The sequential order of a space is a measure of how many iterations are required. A space is scattered if every nonempty set has a relative isolated point. It is not known if it is consistent that there is a countable (or finite) upper bound on the sequential order of a compact sequential space. We consider the properties of compact scattered spaces with infinite sequential order.
Spaces With No S Or L Subspaces, Joan Hart, Kenneth Kunen
Spaces With No S Or L Subspaces, Joan Hart, Kenneth Kunen
Summer Conference on Topology and Its Applications
We show it consistent for spaces X and Y to be both HS and HL even though their product X ×Y contains an Sspace. Recall that an Sspace is a T_{3} space that is HS but not HL.
More generally, consider spaces that contain neither an Sspace nor an Lspace. We say a space is ESLC iff each of its subspaces is either both HS and HL or neither HS nor HL. The "C" in "ESLC" refers to HC; a space is HC iff each of its subspaces has the ccc (countable chain condition) (iff the space has no ...
Disjoint Infinity Borel Functions, Daniel Hathaway
Disjoint Infinity Borel Functions, Daniel Hathaway
Summer Conference on Topology and Its Applications
Consider the statement that every uncountable set of reals can be surjected onto R by a Borel function. This is implied by the statement that every uncountable set of reals has a perfect subset. It is also implied by a new statement D which we will discuss: for each real a there is a Borel function f_{a} : RtoR and for each function g : RtoR there is a countable set G(g) of reals such that the following is true: for each a in R and for each function g : R to R, if f_{a} is disjoint from g ...
On The Chogoshvili Homology Theory Of Continuous Maps Of Compact Spaces, Anzor Beridze, Vladimer Baladze
On The Chogoshvili Homology Theory Of Continuous Maps Of Compact Spaces, Anzor Beridze, Vladimer Baladze
Summer Conference on Topology and Its Applications
In this paper an exact homology functor from the category Mor_{C} of continuous maps of compact Hausdorff spaces to the category LES of long exact sequences of abelian groups is defined (cf. [2], [3], [5]). This functor is an extension of the Hu homology theory, which is uniquely defined on the category of continuous maps of finite CW complexes and is constructed without the relative homology groups [9]. To define the given homology functor we use the Chogoshvili construction of projective homology theory [7], [8]. For each continuous map f:X → Y of compact spaces, using the notion of ...
Hausdorff Dimension Of Kuperberg Minimal Sets, Daniel Ingbretson
Hausdorff Dimension Of Kuperberg Minimal Sets, Daniel Ingbretson
Summer Conference on Topology and Its Applications
The Seifert conjecture was answered negatively in 1994 by Kuperberg who constructed a smooth aperiodic flow on a threemanifold. This construction was later found to contain a minimal set with a complicated topology. The minimal set is embedded as a lamination by surfaces with a Cantor transversal of Lebesgue measure zero. In this talk we will discuss the pseudogroup dynamics on the transversal, the induced symbolic dynamics, and the Hausdorff dimension of the Cantor set.
On The Axiomatic Systems Of Steenrod Homology Theory Of Compact Spaces, Leonard Mdzinarishvili, Anzor Beridze
On The Axiomatic Systems Of Steenrod Homology Theory Of Compact Spaces, Leonard Mdzinarishvili, Anzor Beridze
Summer Conference on Topology and Its Applications
The Steenrod homology theory on the category of compact metric pairs was axiomatically described by J.Milnor. In Milnor, the uniqueness theorem is proved using the EilenbergSteenrod axioms and as well as relative homeomorphism and clusres axioms. J. Milnor constructed the homology theory on the category Top^{2}_{C} of compact Hausdorff pairs and proved that on the given category it satisfies nine axioms  the EilenbergSteenrod, relative homeomorphis and cluster axioms (see theorem 5 in Milnor). Besides, he proved that constructed homology theory satisfies partial continuity property on the subcategory Top^{2}_{CM} (see theorem 4 in Milnor) and the ...
Totally Geodesic Surfaces In Arithmetic Hyperbolic 3Manifolds, Benjamin Linowitz, Jeffrey S. Meyer
Totally Geodesic Surfaces In Arithmetic Hyperbolic 3Manifolds, Benjamin Linowitz, Jeffrey S. Meyer
Summer Conference on Topology and Its Applications
In this talk we will discuss some recent work on the problem of determining the extent to which the geometry of an arithmetic hyperbolic 3manifold M is determined by the geometric genus spectrum of M (i.e., the set of isometry classes of finite area, properly immersed, totally geodesic surfaces of M, considered up to free homotopy). In particular, we will give bounds on the totally geodesic 2systole, construct infinitely many incommensurable manifolds with the same initial geometric genus spectrum and analyze the growth of the genera of minimal surfaces across commensurability classes. These results have applications to the study ...