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Articles 181 - 210 of 216
Full-Text Articles in Entire DC Network
The Multi-Monopole Equations For K\"Ahler Surfaces, James A. Bryan, Richard Wentworth
The Multi-Monopole Equations For K\"Ahler Surfaces, James A. Bryan, Richard Wentworth
Turkish Journal of Mathematics
The purpose of this paper is to introduce a natural generalization of the Seiberg-Witten equations having more than one Spinor field ("monopole") and to study the moduli space of solutions in the case of a K\"ahler surface. We find an explicit algebro-geometric construction of the moduli space. In the course of our construction, we prove an existence and uniqueness result for a generalization of the Kazdan-Warner equation.
The Minimal Genus Of An Embedded Surface Of Non-Negative Square In A Rational Surface, Daniel Ruberman
The Minimal Genus Of An Embedded Surface Of Non-Negative Square In A Rational Surface, Daniel Ruberman
Turkish Journal of Mathematics
No abstract provided.
A Note On The Geography Of Symplectic Manifolds, Andras Stipsicz
A Note On The Geography Of Symplectic Manifolds, Andras Stipsicz
Turkish Journal of Mathematics
No abstract provided.
Star Topological Groupoids, O. Mucuk
Star Topological Groupoids, O. Mucuk
Turkish Journal of Mathematics
In [4] a construction on topological groups was given. In this paper we generalize this costruction to more general topological groupoids and have a similar structure on the topological groupodis.
Operations With The Periodic Decimal Expansions, H. Ardahan
Operations With The Periodic Decimal Expansions, H. Ardahan
Turkish Journal of Mathematics
In this paper, we prove the rules of direct addition and subtraction for the finite decimal expansions of fractions which are periodic. It has been shown that these rules are valid for the fractions which can be expanded as a periodic decimal with p figures in the period or have the mixed decimal part containing \nu non-periodic and p periodic figures. Also, it has been given a rule of multiplication for these periodic decimals by 10^{\nu}, \nu\in\Bbb N. Last of all, if a rational fraction has a period of length p, then it can be expressed by a decimal expansion, …
A Note On Intuitionistic Sets And Intuitionistic Points, D. Çoker
A Note On Intuitionistic Sets And Intuitionistic Points, D. Çoker
Turkish Journal of Mathematics
The purpose of this note is to define the so-called "intuitionistic sets" and "intuitionistic points", and obtain their fundamental properties.
Finite Dimensional Attractors For A Class Of Semilinear Wave Equations, A. Eden, V. Kalantarov
Finite Dimensional Attractors For A Class Of Semilinear Wave Equations, A. Eden, V. Kalantarov
Turkish Journal of Mathematics
In this paper we give a self-contained survey of results related with the global attractors for a class of nonlinear wave equations with damping or viscosity terms. In particular, we prove the existence of a finite dimensional attractor and estimate its fractal dimension by imbedding it in an exponential attractor. Some results on global stability, existence of finite dimensional attractors were already partially discussed in Kalantarov [44] and in Eden et. al. [25], however we simplify the framework by introducing a unified approach to both the existence of attractors through \alpha-contractions and the construction of exponential attractors via some Lipschitzianity …
An Extension Of The Binomial Theorem With Application To Stability Theory, Z. Zahreddinea
An Extension Of The Binomial Theorem With Application To Stability Theory, Z. Zahreddinea
Turkish Journal of Mathematics
We show how it is possible to put different stability types such as Routh-Hurwitz and Schur-Cohn on common grounds by establishing direct links between them. In the process, we obtain natural and elegant extensions of both Pascal's rule and the binomial theorem, which prove useful in establishing our main results. A M S subject classification: Primary 34D, Secondary 93D.
A Note On Gamma Rings, M. Sapanci, A. Nakajimaz
A Note On Gamma Rings, M. Sapanci, A. Nakajimaz
Turkish Journal of Mathematics
Let M be a \Gamma-ring and D a non-zero left derivation on M. We show that if there exists an element m in M such that D(m) is a right non-zero divisor, then M is commutative.
On A Differential Sequence In Geometry, E. Ortaçgi̇l
On A Differential Sequence In Geometry, E. Ortaçgi̇l
Turkish Journal of Mathematics
We construct an exact differential sequence which indicates certain relations between curvature, local flatness, torsion and simplicity of higher order connections. Our formulas are expressed explicity in terms of the Christoffel symbols of dual \varepsilon-connections.
On Spaces Of Generalized Dirichlet Series, M. Dragilev
On Spaces Of Generalized Dirichlet Series, M. Dragilev
Turkish Journal of Mathematics
It is considered the relationship between spaces L_f(\lambda,\sigma) and subspaces of the space A_1(\bar{A}_1) of analytic functions in the open (closed) unit disc, generated by systems F(\alpha_nz), n\in N, if they constitute a basis in their closure.
Paracompact Subspaces In The Box Product Topology, Peter Nyikos, Leszek Piatkiwicz
Paracompact Subspaces In The Box Product Topology, Peter Nyikos, Leszek Piatkiwicz
Faculty Publications
No abstract provided.
Geometrical Modeling Of Material Aging, Alexander Chudnovsky, Serge Preston
Geometrical Modeling Of Material Aging, Alexander Chudnovsky, Serge Preston
Mathematics and Statistics Faculty Publications and Presentations
Material aging is understood as changes of material properties with time. The aging is usually observed as an improvement of some properties and a deterioration of others. For example an increase of rigidity and strength and reduction in toughness with time are commonly observed in engineering materials. In an attempt to model aging phenomena on a continuum (macroscopical) level one faces three major tasks. The first is to identify an adequate age parameter that represents, on a macroscopic scale, the micro and sub microscopical features, underlying the aging phenomena such as nucleation, growth and coalescence of microdefects, physico-chemical transformations etc. …
On Non-Holonomic Second-Order Connections With Applications To Continua With Microstructure, Marek Elźanowski, Serge Preston
On Non-Holonomic Second-Order Connections With Applications To Continua With Microstructure, Marek Elźanowski, Serge Preston
Mathematics and Statistics Faculty Publications and Presentations
Motivated by the theory of uniform elastic structures we try to determine the conditions for the local flatness of locally integrable connections on non-holonomic frame bundles of order 2. Utilizing the results of Yuen as well as our results for the holonomic case, we show that the locally integrable non-holonomic 2-connection is locally flat if, and only if, its projection to the bundle of linear frames is symmetric and the so-called inhomogeneity tensor vanishes. In the last section of this short paper we show how these results can be interpreted in the framework of the theory of uniformity of simple …
Bergman Spaces On Disconnected Domains, William T. Ross, Alexandru Aleman, Stefan Richter
Bergman Spaces On Disconnected Domains, William T. Ross, Alexandru Aleman, Stefan Richter
Department of Math & Statistics Faculty Publications
For a bounded region G C C and a compact set K C G, with area measure zero, we will characterize the invariant subspaces M (under f -> zf)of the Bergman space Lpa(G \ K), 1 ≤ p < ∞, which contain Lpa(G) and with dim(M/(z - λ)M) = 1 for all λϵ G \ K. When G \ K is connected, we will see that di\m(M /(z — λ)M) = 1 for all λ ϵ G \ K and thus in this case we will have a complete …
The Backward Shift Of Weighted Bergman Spaces, William T. Ross, Alexandru Aleman
The Backward Shift Of Weighted Bergman Spaces, William T. Ross, Alexandru Aleman
Department of Math & Statistics Faculty Publications
No abstract provided.
Detecting Trends And Patterns In Reliability Data Over Time Using Exponentially Weighted Moving-Averages, Harry F. Martz, Paul H. Kvam
Detecting Trends And Patterns In Reliability Data Over Time Using Exponentially Weighted Moving-Averages, Harry F. Martz, Paul H. Kvam
Department of Math & Statistics Faculty Publications
A simple, easy-to-use graphical method is presented for use in determining if there is any statistically significant trend or pattern over time in an underlying Poisson event rate of occurrence or binomial failure on demand probability. The method is based on the combined use of both an exponentially weighted moving-average (EWMA) and a Shewhart chart. Two nuclear power plant examples are introduced and used to illustrate the method. The false alarm probability and power when using the combined procedure are also determined for both cases using Monte Carlo simulation. The results indicate that the combined procedure is quite effective in …
Convex Functions, Susanna Maria Zagar
Convex Functions, Susanna Maria Zagar
Theses Digitization Project
No abstract provided.
Applications Of Hyperbolic Geometry In Physics, Scott Randall Rippy
Applications Of Hyperbolic Geometry In Physics, Scott Randall Rippy
Theses Digitization Project
The purpose of this study was to see how the fundamental properties of hyperbolic geometry applies in physics.
A Study Of Finite And Linear Elasticity, Fen Rui Johnson
A Study Of Finite And Linear Elasticity, Fen Rui Johnson
Theses Digitization Project
No abstract provided.
The Mandelbrot Set, Jeffrey Francis Redona
The Mandelbrot Set, Jeffrey Francis Redona
Theses Digitization Project
No abstract provided.
Polynomial Equations And Solvability: A Historical Perspective, Laurie Jan Riggs
Polynomial Equations And Solvability: A Historical Perspective, Laurie Jan Riggs
Theses Digitization Project
No abstract provided.
Topological Classification Of Non-Degenerate Quadratic System, Aleksandr Voldman
Topological Classification Of Non-Degenerate Quadratic System, Aleksandr Voldman
Theses Digitization Project
No abstract provided.
Sturm-Liouville Theory, Lycretia Englang Ting
Sturm-Liouville Theory, Lycretia Englang Ting
Theses Digitization Project
No abstract provided.
Semisimplicity For Hopf Algebras, Michelle Diane Stutsman
Semisimplicity For Hopf Algebras, Michelle Diane Stutsman
Theses Digitization Project
No abstract provided.
Invariant Subspaces Of The Harmonic Dirichlet Space With Large Co-Dimension, William T. Ross
Invariant Subspaces Of The Harmonic Dirichlet Space With Large Co-Dimension, William T. Ross
Department of Math & Statistics Faculty Publications
In this paper, we comment on the complexity of the invariant subspaces (under the bilateral Dirichlet shift f → ζf) of the harmonic Dirichlet space D. Using the sampling theory of Seip and some work on invariant subspaces of Bergman spaces, we will give examples of invariant subspaces F ⊂ D with dim(F/ζF) = n, n ∈ N ∪ {∞}. We will also generalize this to the Dirichlet classes Dα, 0 <α< ∞, as well as the Besov classes Bα p , 1
A Survey Of Hadamard Difference Sets, James A. Davis, Jonathan Jedwab
A Survey Of Hadamard Difference Sets, James A. Davis, Jonathan Jedwab
Department of Math & Statistics Faculty Publications
A (v, k, λ) difference set is a k-element subset D of a group G of order v for which the multiset {d1d2-1 : d1, d2 ∈ D, d1 ≠ d2} contains each nonidentity element of G exactly λ times. A difference set is called abelian, nonabelian or cyclic according to the properties of the underlying group. Difference sets are important in design theory because they are equivalent to symmetric (v, k, λ) designs with a regular automorphism group [L].
Exponent Bounds For A Family Of Abelian Difference Sets, K. T. Arasu, James A. Davis, Jonathan Jedwab, Siu Lun Ma, Robert L. Mcfarland
Exponent Bounds For A Family Of Abelian Difference Sets, K. T. Arasu, James A. Davis, Jonathan Jedwab, Siu Lun Ma, Robert L. Mcfarland
Department of Math & Statistics Faculty Publications
Which groups G contain difference sets with the parameters (v, k, λ)= (q3 + 2q2 , q2 + q, q), where q is a power of a prime p? Constructions of K. Takeuchi, R.L. McFarland, and J.F. Dillon together yield difference sets with these parameters if G contains an elementary abelian group of order q2 in its center. A result of R.J. Turyn implies that if G is abelian and p is self-conjugate modulo the exponent of G, then a necessary condition for existence is that the exponent …
Sums Of Powers And The Bernoulli Numbers, Laura Elizabeth S. Coen
Sums Of Powers And The Bernoulli Numbers, Laura Elizabeth S. Coen
Masters Theses
This expository thesis examines the relationship between finite sums of powers and a sequence of numbers known as the Bernoulli numbers. It presents significant historical events tracing the discovery of formulas for finite sums of powers of integers, the discovery of a single formula by Jacob Bernoulli which gives the Bernoulli numbers, and important discoveries related to the Bernoulli numbers. A method of generating the sequence by means of a number theoretic recursive formula is given. Also given is an application of matrix theory to find a relation, first given by Johannes Faulhaber, between finite sums of odd powers and …
Secrets Of The Madelung Constant, Stan Wagon
Secrets Of The Madelung Constant, Stan Wagon
Stan Wagon, Retired
No abstract provided.