Digital Commons Network^™

Weight Equations For Binary Linear Codes And Their Applications, Ersan Akyildiz, İsmai̇l Ş. Güloğlu, Masatoshi Ikeda

Turkish Journal of Mathematics

Some combinatorial problems concerning binary vector spaces are solved by applying the techniques developed in [1]. These illustrate that they are effective tools for such purposes.

On Univalent Functions With Three Preassigend Values, Y. Avci, E. Zlotkiewicz

Turkish Journal of Mathematics

In this paper, univalent functions with three preassigend values are studied. The sharp bounds for the first coefficient are obtained. Moreover, the coefficient problem for a subclass of such functions is completely solved.

On Ideals Of Prime Rings With (\Sigma, \Tau)- Derivations, Q. Deng, M. Ş. Yeni̇gül, N. Argaç

Turkish Journal of Mathematics

Let R be a prime ring. Let \sigma , \tau be two homomorphisms and d be a (\sigma,\tau)-derivation of R. The purpose of this paper is to prove two results: (i) If char R \neq 2, U is a non-zero ideal of R, \sigma is subjective such that \sigma (U) \neq 0, \tau is an automorphism and [d(U), d(U)]_{\sigma,\tau} = 0, then \sigma^2 = \tau^2 and \sigma \tau = \tau \sigma. (ii) Under the assumptions that either char R = 0 or char R > max {2,n}, U is a non-zero right ideal, and \sigma, \tau are automorphisms of R, suppose …

On High Order Riesz Transformations Generated By Generalized Shift Operator, İsmai̇l Eki̇nci̇oğlu, İ. Kaya Özkin

Turkish Journal of Mathematics

In this paper, we determine high order Riesz transformations by using generalized shift operators and giving some of their properties.

Some New Sequence Spaces Defined By A Sequence Of Moduli, Ayhan Esi̇

Turkish Journal of Mathematics

In this paper we introduce and exaamine some properties of three sequence spaces defined by using a sequence of moduli.

The Paper On The Matrix Valued Time Series, M. Tuncay Gençoğlu

Turkish Journal of Mathematics

In this paper, random series oscillatory were examine in matrix valued time series. This series' calculated correlation coefficient between elements. Positive serial correlation coefficient between terms examined relation.

A Note On Finite Hyperbolic Planes Obtained From Projektive Planes, Ş. Olgun, İ. Özgür, İ. Günaltili

Turkish Journal of Mathematics

Let \Pi be a finite projective plane of order n and \cal be a set, \cal = m, of any lines of \Pi which contains three non-concurrent lines. Consider the hyperbolic plane \Pi_m obtained from \Pi by removing all lines (including all points on them) of \cal. In this paper, we obtain larger values than the known maximum value of m and determine the linne classes of some hyperbolic planes of type \Pi_m. Furthermore we give an answer to a question in Bumcrot [1] about hyperbolic planes containing two-point liens.

On The Dynamic Behaviour Of A Thermoviscoelastic Body In Frictional Contact With A Rigid Obstacle, Kenneth Kuttler, K. T. Andrews, M. Shillor

Faculty Publications

We consider the dynamic behaviour of a thermoviscoelastic body which may come into frictional contact with a rigid obstacle. The frictional contact is modelled by general contact and friction laws which include as special cases the power law normal compliance condition and the corresponding generalization of Coulomb's law of dry friction. The stress-strain constitutive relation is assumed to be of Kelvin-Voigt type and the frictional heat generation on the contact surface is taken into account. In this setting we establish the existence of a solution to a weak version of the energy-elasticity system which consists of a parabolic equation coupled …

Normal Lattices And Coseparation Of Lattices, Barry B. Mittag

Mathematics Faculty Publications

No abstract provided.

Geometry Of Post's Correspondence Problem, Mostafa Ghandehari

Mathematics Technical Papers - Archive

Orthogonality of vectors with integer coordinates in an n-dimensional Euclidean space is used to show that Post's correspondence problem is solvable for words over a one-symbol alphabet. We also use orthogonality to discover a match for an instance of Post's correspondence problem with three symbols

Positive Solutions And Nonlinear Multipoint Conjugate Eigenvalue Problems, Paul W. Eloe, Johnny Henderson

Mathematics Faculty Publications

Values of λ are determined for which there exist solutions in a cone of the nth order nonlinear differential equation (see PDF) satisfying themultipoint boundary conditions (see PDF) where a and f are nonnegative valued, and where both (see PDF) exist.

Singular Nonlinear (N-1,1) Conjugate Boundary Value Problems, Paul W. Eloe, Johnny Henderson

Mathematics Faculty Publications

Solutions are obtained for the boundary value problem, y (n) + f(x,y) = 0, y (i)(0) = y(1) = 0, 0 i n – 2, where f(x,y) is singular at y = 0. An application is made of a fixed point theorem for operators that are decreasing with respect to a cone.

Exotic Structures And Adjunction Inequality, Selman Akbulut, Rostislav Matveyev

Turkish Journal of Mathematics

No abstract provided.

The Duals Of Warfield Groups, Peter Loth

Mathematics Faculty Publications

A Warfield group is a direct summand of a simply presented abelian group. In this paper, we describe the Pontrjagin dual groups of Warfield groups, both for the p-local and the general case. A variety of characterizations of these dual groups is obtained. In addition, numerical invariants are given that distinguish between two such groups which are not topologically isomorphic.

Ip Cluster Points Idempotents, And Recurrent Sequences, K. N. Haddad, Aimee S.A. Johnson

Mathematics & Statistics Faculty Works

We consider the dynamical system (M,S) where M is the orbit closure of a nonperiodic recurrent sequence of O's and 1's (for example, the Morse sequence) and S is the shift map. The enveloping semigroup is E(M) = {Sⁿ : n ∈ Z} where the closure is taken in the topology of pointwise convergence. H. Furstenberg was the first to establish the existence of relationships between recurrence, IP sets, and idempotents in the enveloping semigroup, and the first author has proven that the closure of the set of idempotents coincides with the IP cluster points. In this paper the authors …

Describing Ideals Of Endomorphism Rings, Brendan Goldsmith, Simone Pabst

Articles

No abstract available.

On Some Bounds For The Solutions Of The Semi-Discretized Time-Dependent Ginzburg-Landau Equations, Erhan Coşkun

Turkish Journal of Mathematics

We study the two-dimensional system of Time-Dependent Ginzburg-Landau Equations (TDGL) for modeling a thin film of superconductor subject to a uniform magnetic field. We discretize the TDGL for the space variables using bond variables and staggered grid partitioning technique. By investigating the temporal evolution of semi-discrete Helmholtz enery functional and that of Semi-discretized TDGL, we provide bounds for some observable physical quantities of interest such as superelectron density, supercurrent density, charge density, electric field, and induced magnetic field.

Hartogs' Phenomenon For Polyregular Functions And Projective Dimension Of Related Modules Over A Polynomial Ring, W. W. Adams, P. Loustaunau, V. P. Palamadov, Daniele C. Struppa

Mathematics, Physics, and Computer Science Faculty Articles and Research

In this paper we prove that the projective dimension of Mn = R^4/(An) is 2n -1, where R is the ring of polynomials in 4n variables with complex coefficients and (An) is the module generated by the columns of a 4x4n matrix which arises as the Fourier transform of the matrix of differential operators associated with the regularity condition for a function of n quaternionic variables. As a corollary we show that the sheaf R of regular functions has flabby dimension 2n -1, and we prove a cohomology vanishing theorem for open sets in the space Hn of quaternions. We …

Eigenfunction And Harmonic Function Estimates In Domains With Horns And Cusps, Michael Cranston, Yi Li

Mathematics and Statistics Faculty Publications

No abstract provided.

Irreducible K-To-1 Maps Onto Grids, Susan M. Parker

Honors Theses

In this paper we explore the existence of exactly k-to-1 continuous functions between graphs, and more specifically 2-to-1 continuous function between graphs that are irreducibly 2-to-1, meaning that no restriction of the function to a subgraph is 2-to-l. We show how to construct such functions in some general cases, and then more specifically onto rectangular grids. We have in mind an application to distributed networks and signal verification.

Kirby Calculus In Manifolds With Boundary, Justin Roberts

Turkish Journal of Mathematics

Suppose there are two framed links in a compact, connected 3-manifold (possibly with boundary, or non-orientable) such that the associated 3-manifolds obtained by surgery are homeomorphic (relative to their common boundary, if there is one.) How are the links related? Kirby's theorem gives the answer when the manifold is S^3, and Fenn and Rourke extended it to the case of any closed orientable 3-manifold, or S^1 \tilde{\times} S^2. The purpose of this note is to give the answer in the general case, using only minor modifications of Kirby's original proof.

The Hardy -Littlewood-Sobolev Inequality For Non-Isotropic Riesz Potentials, İnan Çinar

Turkish Journal of Mathematics

In this study the inequality of Hardy-Littlewood-Sobolev type are established for non-isotropic generalized Riesz potential depending on \lambda -distance. In this paper we establish analogues of the well known Hardy-Littlewood-Sobolev inequality (see[3]) for Riesz potentials with non-isotropic kernel depended on \lambda distance. Note that different problems for convolution type integrals with kernels, depending on \lambda-distance were considered in [1] and [2].

Pin-Structures On Surfaces And Quadratic Forms, A. Degtyarev, S. Finashin

Turkish Journal of Mathematics

A correspondence between various Pin-type structures on a compact surface and quadratic (Iinear) forms on its homology is constructed. Sum of structures is defined and expressed in terms of these quadratic forms and in terms of Whitney sum of Spin structures.

Locally Finite Barely Transitive Permutation Group With Almost Nilpotent Point Stabilizers, Mahmut Kuzucuoğlu

Turkish Journal of Mathematics

We show that the groups mentioned in the title are solvable. Moreover, a point stabilizer H of the locally finite barely transitive group G is almost nilpotent, whenever the indices H : H \cap H^g (g \in G) have a finite upper bound.

Resolution Of Local Inconsistency In Identification, Douglas Ray Anderson, Martin Zwick

Complex Systems Faculty Publications and Presentations

This paper reports an algorithm for the resolution of local inconsistency in information-theoretic identification. This problem was first pointed out by Klir as an important research area in reconstructability analysis. Local inconsistency commonly arises when an attempt is made to integrate multiple data sources, i.e., contingency tables, which have differing common margins. For example, if one ha)s an AB table and a BC table, the B margins obtained from the two tables may disagree. If the disagreement can be assigned to sampling error, then one can arrive at a compromise B margin, adjust the original AB and BC tables to …

Symmetrically Continuous Function Which Is Not Countably Continuous, Krzysztof Ciesielski

Faculty & Staff Scholarship

We construct a symmetrically continuous function f : R → R such that for some X ⊂ R of cardinality continuum f|X is of Sierpi´nskiZygmund type. In particular such an f is not countably continuous. This gives an answer to a question of Lee Larson.

Characterizing Derivatives By Preimages Of Sets, Krzysztof Ciesielski

Faculty & Staff Scholarship

In this note we will show that many classes F of real functions f : R → R can be characterized by preimages of sets in a sense that there exist families A and D of subsets of R such that F = C(D, A), where C(D, A) = {f ∈ R R : f −1 (A) ∈ D for every A ∈ A}. In particular, we will show that there exists a Bernstein B ⊂ R such that the family ∆ of all derivatives can be represented as ∆ = C(D, A), where A = S c∈R {(−∞, c),(c, …

Compositions Of Two Additive Almost Continuous Functions, Krzysztof Ciesielski

Faculty & Staff Scholarship

In the paper we prove that an additive Darboux function f : R → R can be expressed as a composition of two additive almost continuous (connectivity) functions if and only if either f is almost continuous (connectivity) function or dim(ker(f)) 6= 1. We also show that for every cardinal number λ ≤ 2 ω there exists an additive almost continuous functions with dim(ker(f)) = λ. A question whether every Darboux function f : R → R can be expressed as a composition of two almost continuous functions (see [?] or [?]) remains open.

An Invariance Property Of Common Statistical Tests, N. Rao Chaganty, A. K. Vaish

Mathematics & Statistics Faculty Publications

Let A be a symmetric matrix and B be a nonnegative definite (nnd) matrix. We obtain a characterization of the class of nnd solutions Σ for the matrix equation AΣA = B. We then use the characterization to obtain all possible covariance structures under which the distributions of many common test statistics remain invariant, that is, the distributions remain the same except for a scale factor. Applications include a complete characterization of covariance structures such that the chisquaredness and independence of quadratic forms in ANOVA problems is preserved. The basic matrix theoretic theorem itself is useful in other characterizing …

Fuzzy Logic: An Analysis Of Logical Connectives And Their Characterizations, John F. Hamman

Dissertations and Theses @ UNI

The focus of this thesis is to determine exactly which functions serve as appropriate fuzzy negation, conjunction and disjunction functions. To this end, the first chapter serves as motivation for why fuzzy logic is needed, and includes an original demonstration of the inadequacy of many valued logics to resolve the sorites paradox. Chapter 2 serves as an introduction to fuzzy sets and logic. The canonical fuzzy set of tall men is examined as a motivating example, and the chapter concludes with a discussion of membership functions.

Four desirable conditions of the negation function are given in Chapter 3, but it …