On Small Covers Over A Product Of Simplices,
2018
TÜBİTAK
On Small Covers Over A Product Of Simplices, Murat Altunbulak, Asli Güçlükan İlhan
Turkish Journal of Mathematics
In this paper, we give a formula for the number of $\mathbb{Z}_2^n$-equivariant homeomorphism classes of small covers over a product of simplices. We also give an upper bound for the number of small covers over a product of simplices up to homeomorphism.
Gadjieva's Conjecture, $K$-Functionals, And Someapplications In Weighted Lebesgue Spaces,
2018
TÜBİTAK
Gadjieva's Conjecture, $K$-Functionals, And Someapplications In Weighted Lebesgue Spaces, Ramazan Akgün
Turkish Journal of Mathematics
We prove that Gadjieva's conjecture holds true as stated in her PhD thesis. The positive solution of this conjecture allows us to obtain improved versions of the Jackson--Stechkin type inequalities obtained in her thesis and some others. As an application, an equivalence of the modulus of smoothness with the realization functional is established. We obtain a characterization class for the modulus of smoothness.
The Rank Of Apparition Of Powers Of Lucas Sequence,
2018
TÜBİTAK
The Rank Of Apparition Of Powers Of Lucas Sequence, Prasanta Kumar Ray, Nuretti̇n Irmak, Bijan Kumar Patel
Turkish Journal of Mathematics
This note is devoted to studying the divisibility relation $u_{n}^{k+1} u_{m}$ for a least positive integer $m$, where $\{u_{n}\}_{n \geq 0}$ is a nondegenerate Lucas sequence with characteristic polynomial $x^{2}-ax - b,$ for some relatively prime integers $a$ and $b$.
On One Bvp For A Thermo-Microstretch Elastic Space With Spherical Cavity,
2018
TÜBİTAK
On One Bvp For A Thermo-Microstretch Elastic Space With Spherical Cavity, Lamara Bitsadze
Turkish Journal of Mathematics
The present paper considers the equilibrium theory of thermo-microstretch elastic solids with microtemperatures. The method to solve the Neumann-type boundary value problem (BVP) for the whole space with spherical cavity is presented. The solution of this BVP in the form of absolutely and uniformly convergent series is obtained.
On Some Properties Of Hyperstonean Spaces,
2018
TÜBİTAK
On Some Properties Of Hyperstonean Spaces, Banu Güntürk, Bahaetti̇n Cengi̇z
Turkish Journal of Mathematics
This paper is devoted to hyperstonean spaces that are precisely the Stone spaces of measure algebras, or the Stone spaces of the Boolean algebras of $% L^{p}$-projections of Banach spaces for $1$ $\leq p
Some Properties Of $E$-Symmetric Rings,
2018
TÜBİTAK
Some Properties Of $E$-Symmetric Rings, F M, Junchao Wei
Turkish Journal of Mathematics
In this paper, we first give some characterizations of $e$-symmetric rings. We prove that $R$ is an $e$-symmetric ring if and only if $a_{1}a_{2}a_{3}=0$ implies that $a_{\sigma(1)}a_{\sigma(2)}a_{\sigma(3)}e=0$, where $\sigma $ is any transformation of $\{1,2,3\}$. With the help of the Bott--Duffin inverse, we show that for $e\in ME_{l}(R)$, $R$ is an $e$-symmetric ring if and only if for any $a\in R$ and $g\in E(R)$, if $a$ has a Bott--Duffin $(e,g)$-inverse, then $g=eg$. Using the solution of the equation $axe=c$, we show that for $e\in ME_{l}(R)$, $R$ is an $e$-symmetric ring if and only if for any $a,c \in R$, if …
Conformal Riemannian Maps From Almost Hermitian Manifolds,
2018
TÜBİTAK
Conformal Riemannian Maps From Almost Hermitian Manifolds, Bayram Şahi̇n, Şener Yanan
Turkish Journal of Mathematics
Conformal Riemannian maps from almost Hermitian manifolds to Riemannian manifolds, namely conformal invariant Riemannian maps, holomorphic conformal Riemannian maps, and conformal antiinvariant Riemannian maps, are introduced. We mainly focus on conformal antiinvariant Riemannian maps from Kaehlerian manifolds. We give proper examples of conformal antiinvariant Riemannian maps, obtain the integrability of certain distributions, and investigate the geometry of leaves of these distributions. We also obtain various conditions for such maps to be horizontally homothetic maps.
An Exponential Method To Solve Linear Fredholm-Volterraintegro-Differential Equations And Residual Improvement,
2018
TÜBİTAK
An Exponential Method To Solve Linear Fredholm-Volterraintegro-Differential Equations And Residual Improvement, Şuayi̇p Yüzbaşi
Turkish Journal of Mathematics
In this paper, a collocation approach based on exponential polynomials is introduced to solve linear Fredholm-Volterra integro-differential equations under the initial boundary conditions. First, by constructing the matrix forms of the exponential polynomials and their derivatives, the desired exponential solution and its derivatives are written in matrix forms. Second, the differential and integral parts of the problem are converted into matrix forms based on exponential polynomials. Later, the main problem is reduced to a system of linear algebraic equations by aid of the collocation points, the matrix operations, and the matrix forms of the conditions. The solutions of this system …
Diagnostic Effects Of An Early Mastery Activity In College Algebra And Precalculus,
2018
University of Nebraska-Lincoln
Diagnostic Effects Of An Early Mastery Activity In College Algebra And Precalculus, Nathan Wakefield, Joe Champion, Jessalyn Bolkema, Douglas Dailey
Department of Mathematics: Faculty Publications
The purpose of this study was to investigate implementation of an early intervention mastery activity during the first two weeks of college algebra and precalculus courses at a large U.S. public university. Statistical modeling of (N = 935) students’ performance in the courses, including a logistic regression model of pass/fail course achievement with students’ high school rank, ACT Mathematics scores, and performance on the intervention as explanatory variables, suggested significant independent differences in course performance across performance levels on the early mastery activity. An evaluation of diagnostic validity for the model yielded a 19% false negative rate (predicted to …
Statistical Algorithms And Bioinformatics Tools Development For Computational Analysis Of High-Throughput Transcriptomic Data,
2018
South Dakota State University
Statistical Algorithms And Bioinformatics Tools Development For Computational Analysis Of High-Throughput Transcriptomic Data, Adam Mcdermaid
Electronic Theses and Dissertations
Next-Generation Sequencing technologies allow for a substantial increase in the amount of data available for various biological studies. In order to effectively and efficiently analyze this data, computational approaches combining mathematics, statistics, computer science, and biology are implemented. Even with the substantial efforts devoted to development of these approaches, numerous issues and pitfalls remain. One of these issues is mapping uncertainty, in which read alignment results are biased due to the inherent difficulties associated with accurately aligning RNA-Sequencing reads. GeneQC is an alignment quality control tool that provides insight into the severity of mapping uncertainty in each annotated gene from …
The Dihedral Genus Of A Knot,
2018
Smith College
The Dihedral Genus Of A Knot, Patricia Cahn, Alexandra Kjuchukova
Mathematics Sciences: Faculty Publications
Let K ⊂ S3 be a Fox p-colored knot and assume K bounds a locally flat surface S ⊂ B4 over which the given p-coloring extends. This coloring of S induces a dihedral branched cover X → S4 . Its branching set is a closed surface embedded in S4 locally flatly away from one singularity whose link is K. When S is homotopy ribbon and X a definite four-manifold, a condition relating the signature of X and the Murasugi signature of K guarantees that S in fact realizes the four-genus of K. We exhibit an infinite …
Strong Comparison Principle For P-Harmonic Functions In Carnot-Caratheodory Spaces,
2018
Worcester Polytechnic Institute
Strong Comparison Principle For P-Harmonic Functions In Carnot-Caratheodory Spaces, Luca Capogna, Xiaodan Zhou
Mathematics Sciences: Faculty Publications
We extend Bony’s propagation of support argument to C1 solutions of the nonhomogeneous subelliptic p-Laplacian associated to a system of smooth vector fields satisfying Hörmander’s finite rank condition. As a consequence we prove a strong maximum principle and strong comparison principle that generalize results of Tolksdorf.
Bases In Spaces Of Regular Multilinear Operators And Homogeneous Polynomials On Banach Lattices,
2018
University of Mississippi
Bases In Spaces Of Regular Multilinear Operators And Homogeneous Polynomials On Banach Lattices, Khazhak Varazdat Navoyan
Electronic Theses and Dissertations
For Banach lattices E1,…, Em and F with 1-unconditional bases, we show that the monomial sequence forms a 1-unconditional basis of Lr(E1,…, Em;F), the Banach lattice of all regular m-linear operators from E1×···× Em to F, if and only if each basis of E1,…,Em is shrinking and every positive m-linear operator from E 1×···×Em to F is weakly sequentially continuous. As a consequence, we obtain necessary and sufficient conditions for which the m-fold Fremlin projective tensor product E1⊗ |π|··· ⊗|π|E m (resp. the m-fold positive injective tensor product E1⊗|ϵ|··· ⊗ |ϵ|Em) has a shrinking basis or a boundedly complete basis. …
Convolution And Jackson Inequalities In Musielak--Orlicz Spaces,
2018
TÜBİTAK
Convolution And Jackson Inequalities In Musielak--Orlicz Spaces, Ramazan Akgün, Yunus Emre Yildirir
Turkish Journal of Mathematics
In the present work we prove some direct and inverse theorems for approximation by trigonometric polynomials in Musielak-Orlicz spaces. Furthermore, we get a constructive characterization of the Lipschitz classes in these spaces.
Finite Blaschke Products: A Survey,
2018
University of Richmond
Finite Blaschke Products: A Survey, Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Department of Math & Statistics Faculty Publications
A finite Blaschke product is a product of finitely many automorphisms of the unit disk. This brief survey covers some of the main topics in the area, including characterizations of Blaschke products, approximation theorems, derivatives and residues of Blaschke products, geometric localization of zeros, and selected other topics.
A Probability Model For Strategic Bidding On The Price Is Right,
2018
University of Richmond
A Probability Model For Strategic Bidding On The Price Is Right, Paul H. Kvam
Department of Math & Statistics Faculty Publications
The TV game show “The Price is Right” features a bidding auction called “Contestants’ Row” that rewards the player (out of 4) who bids closest to an item’s value, without overbidding. This paper considers ways in which players can maximize a winning probability based on the player's bidding order. We consider marginal strategies in which players assume opponents are bidding individually perceived values of the merchandise. Based on preceding bids of others, players have information available to create strategies. We consider conditional strategies in which players adjust bids knowing other players are using strategies. The last bidder has a large …
The Range And Valence Of A Real Smirnov Function,
2018
University of Richmond
The Range And Valence Of A Real Smirnov Function, Timothy Ferguson, William T. Ross
Department of Math & Statistics Faculty Publications
We give a complete description of the possible ranges of real Smirnov functions (quotients of two bounded analytic functions on the open unit disk where the denominator is outer and such that the radial boundary values are real almost everywhere on the unit circle). Our techniques use the theory of unbounded symmetric Toeplitz operators, some general theory of unbounded symmetric operators, classical Hardy spaces, and an application of the uniformization theorem. In addition, we completely characterize the possible valences for these real Smirnov functions when the valence is finite. To do so we construct Riemann surfaces we call disk trees …
Optimal Weak Parallelogram Constants For L-P Spaces,
2018
University of Richmond
Optimal Weak Parallelogram Constants For L-P Spaces, Raymond Cheng, Javad Mashreghi, William T. Ross
Department of Math & Statistics Faculty Publications
Inspired by Clarkson's inequalities for L-p and continuing work from [5], this paper computes the optimal constant C in the weak parallelogram laws parallel to f + g parallel to(r )+ C parallel to f - g parallel to(r )= 2(r-1 )(parallel to f parallel to(r) + parallel to g parallel to(r)) for the L-p spaces, 1 < p < infinity.
Decoding Book Barcode Images,
2018
Claremont McKenna College
Decoding Book Barcode Images, Yizhou Tao
CMC Senior Theses
This thesis investigated a method of barcode reconstruction to address the recovery of a blurred and convoluted one-dimensional barcode. There are a lot of types of barcodes used today, such as Code 39, Code 93, Code 128, etc. Our algorithm applies to the universal barcode, EAN 13. We extend the methodologies proposed by Iwen et al. (2013) in the journal article "A Symbol-Based Algorithm for Decoding barcodes." The algorithm proposed in the paper requires a signal measured by a laser scanner as an input. The observed signal is modeled as a true signal corrupted by a Gaussian convolution, additional noises, …
The Boundedness Of The Hardy-Littlewood Maximal Function And The Strong Maximal Function On The Space Bmo,
2018
Claremont Colleges
The Boundedness Of The Hardy-Littlewood Maximal Function And The Strong Maximal Function On The Space Bmo, Wenhao Zhang
CMC Senior Theses
In this thesis, we present the space BMO, the one-parameter Hardy-Littlewood maximal function, and the two-parameter strong maximal function. We use the John-Nirenberg inequality, the relation between Muckenhoupt weights and BMO, and the Coifman-Rochberg proposition on constructing A1 weights with the Hardy- Littlewood maximal function to show the boundedness of the Hardy-Littlewood maximal function on BMO. The analogous statement for the strong maximal function is not yet understood. We begin our exploration of this problem by discussing an equivalence between the boundedness of the strong maximal function on rectangular BMO and the fact that the strong maximal function maps …
