Physical Sciences and Mathematics Commons^™

The Group Structure Of Hecke Groups H(\Lambda_Q), İ. N. Cangül

Turkish Journal of Mathematics

In this work a new proof of the fact that the group structure of the Hecke groups is isomorphic to the free product of two cyclic groups of orders 2 and q is given The method used in the proof requires a result of A.M. Macbeath together with the notion of fundamental region. Also given are some new results on the parabolic points of Hecke groups, which still is an open problem.

Absolutely Representing Systems And Convolution Operators In The Complex Domain, Yu. F. Korobeinik

Turkish Journal of Mathematics

The author suggests a method of characterizing of the kernel of a convolution-type operator. The method is based on the exact description of nontrivial expansions of zero of an absolutely representing system consisting of eigen vectors of some linear operator with continuous spectrum. The method suggested in the paper is applied to the characterization of the kernel of the convolution-type operator defined on some space of entire functions and to the factorization of such an operator.

(\Sigma, \Tau)- Lie Ideals In Prime Rings With Derivation, M. Soytürk

Turkish Journal of Mathematics

Let R be a prime ring, char R\neq 2,3 \, \sigma, \tau : R\rightarrow R two automorphisms, U a nonzero (\sigma, \tau)- Lie ideal of R and o\neq d : R\rightarrow R$ a derivation such that \sigma d = d\sigma, \tau d = d\tau. In this paper we have proved the following results. (1) If d (U) \subset Z then U\subset Z (2) If d(U) \subset U and d^2 (U) \subset Z then U\subset Z.

Linear Topologic Invariants And Their Applications To Isomorphic Classification Of Generalized Power Spaces, V. Zahariuta

Turkish Journal of Mathematics

In the present survey generalized linear topological invariants are considered as a development of classical invariants of Kolmogorov and Pelczynski (approximative and diametral dimensions). It is realized a geometric idea to construct some new invariant characteristics by applying of classical characteristics (diameter or entropy-like characteristics) to some symplest interpolational constructions under neighborhoods, taken from a given basis of neighborhoods of zero. It is considered various applications to isomorphic classification of generalized power K\"{o}the spaces (in particular, tensor products of finite and infinite type power series spaces, spaces of analytic and infinitely differentiable vector-valued functions, spaces of analytic functions of several …

On Homotopic, Non--Isomorphic Tight Contact Structures On 3-Manifolds, Paolo Lisca, Gordana Matic

Turkish Journal of Mathematics

No abstract provided.

A Survey Of Symplectic 4-Manifolds With B^+ = 1, Dusa Mcduff, Dietmar Salamon

Turkish Journal of Mathematics

No abstract provided.

Removable Singularities And A Vanishing Theorem For Seiberg-Witten Invariants, Dietmar Salamon

Turkish Journal of Mathematics

No abstract provided.

Higher Genus Symplectic Invariants And Sigma Model Coupled With Gravity, Yongbin Ruan, Gang Tian

Turkish Journal of Mathematics

No abstract provided.

Akbulut's Corks And H-Cobordisms Of Smooth, Simply Connected 4-Manifolds, Rob Kirby

Turkish Journal of Mathematics

No abstract provided.

On Applications Of Excess Level Processes To (N,D)-Policy Bulk Queueing Systems, Jewgeni H. Dshalalow

Mathematics and System Engineering Faculty Publications

The paper deals with queueing systems in which N- and D-policies are combined into one. This means that an idle or vacationing server will resume his service if the queueing or workload process crosses some specified fixed level N or D, respectively. For the proposed (N,D)-policy we study the queueing processes in models with and without server vacations, with compound Poisson input, and with generally distributed service and vacation periods. The analysis of the models is essentially based on fluctuation techniques for two-dimensional marked counting processes newly developed by the author. The results enable us to arrive at stationary distributions …

A Study Of The Development Of Mathematical Problem Solving In Relation To Cognitive Development, Margaret Cooper

Honors Theses, 1963-2015

No abstract provided.

Characterization Of A Class Of Sigmoid Functions With Applications To Neural Networks, Anil Ravindran Menon, Kishan Mehrotra, Chilukuri K. Mohan, Sanjay Ranka

College of Engineering and Computer Science - Former Departments, Centers, Institutes and Projects

Sigmoid functions, whose graphs are “S-shaped” curves, appear in a great variety of contexts, such as the transfer functions in many neural networks. Their ubiquity is no accident; these curves are among the simplest non-linear curves, striking a graceful balance between linear and non-linear behavior. .. This paper undertakes a study of two classes of sigmoids: the simple sigmoids, defined to be odd, asymptotically bounded, completely monotone functions in one variable, and the Hyperbolic sigmoids, a proper subset of simple sigmoids and a natural generalization of the hyperbolic tangent. The class of hyperbolic sigmoids includes a surprising number of well …

Exact Multiplicity Results For Boundary Value Problems With Nonlinearities Generalizing Cubic, Philip Korman, Yi Li, Tiancheng Ouyang

Mathematics and Statistics Faculty Publications

No abstract provided.

A Center-Unstable Manifold Theorem For Parametrically Excited Surface Waves, Larry Turyn

Mathematics and Statistics Faculty Publications

When fluid in a rectangular tank sits upon a platform which is oscillating with sufficient amplitude, surface waves appear in the ''Faraday resonance.'' Scientists and engineers have done bifurcation analyses which assume that there is a center manifold theory using a finite number of excited spatial modes. We establish such a center manifold theorem for Xiao-Biao Lin's model in which potential flow is assumed but an artificial dissipation term is included in the system of partial differential equations on the free surface. We use interpolation spaces developed by da Prate and Grisvard, establish maximal regularity for a family of evolution …

On The Structure Of The Deflagration For The Generalized Reaction-Rate Model, William B. Bush, L. Krishnamurthy

Mathematics and System Engineering Faculty Publications

The structure of the deflagration is examined by means of an asymptotic analysis of the physical-plane boundary-value problem, with Lewis-Semenov number unity, in the limit of the activation-temperature ratio, β = Ta/Tb, greater than order unity, for the generalized reaction-rate-model case of (1) the heat- addition-temperature ratio, α = (Tb — Tu)/Tu, of order unity [where Ta, Tb, and Tu are the activation, adiabatic-flame (and/or burned-gas), and unburned-gas temperatures, respectively]; and (2) the exponent, a, which characterizes the pre-exponential thermal dependence of the reaction-rate term, unity. This examination indicates that the deflagration has a four-region structure. To obtain a uniformly …

Knots About Stokes' Theorem, Michael C. Sullivan

Articles and Preprints

Connections between knot theory and Stokes' Theorem as presented to students in a sophomore level vector calculus class.

Stochastic Differential Systems With Memory: Theory, Examples And Applications (Sixth Workshop On Stochastic Analysis), Salah-Eldin A. Mohammed

Miscellaneous (presentations, translations, interviews, etc)

No abstract provided.

Fixed Points And Completeness, Z. Liu

Turkish Journal of Mathematics

We give five necessary and sufficient conditions for a metric space to be complete.

The Inverse Nonstationary Scattering Problem For A Hyperbolic System Of Equations On Semi-Axis, N. Sh. Iskenderov, A. Yildiz

Turkish Journal of Mathematics

In this paper, the direct and inverse nonstationary scattering problem for a hyperbolic system of n equations (n>3) on a semi-axis is studied. The coefficients of the system are uniquely determined according to scattering operator. The solution of the problem is generalized for an arbitrary natural number n applying the properties of separation of factors by means of operator transformations to some elements of the scattering operator and its inverse as well as reducing the scattering problem given on a semi-axis to the scattering problem on the whole-axis.

On Affine Selection And Separation Of Vector Valued Functions, S. Alpay, Z. Ercan

Turkish Journal of Mathematics

Let K be a Choquet simplex, E a Fr\'{e}chet space and \Phi: K \ra 2^E a map such that \Phi(x) is closed and convex for each x \in K. A sufficient condition is given for \Phi to have a continuous affine selection.This is employed to prove a separation theorem for vector valued semicontinuous functions from a Choquet simplex into an ordered Fr\'{e}chet space.

Combinatorics And Campus Security, Arthur T. Benjamin

All HMC Faculty Publications and Research

One day I received electronic mail from our director of campus security [Gilbraith 1993]:

"I have a puzzle for you that has practical applications for me. I need to know how many different combinations there are for our combination locks. A lock has 5 buttons. In setting the combination you can use only 1button or as many as 5. Buttons may be pressed simultaneously and / or successively, but the same button cannot be used more than once in the same combination.

I had a student (obviously not a math major) email me that there are only 120 possibilities, but …

Meyer Jerison, 1922-1995, Leonard Gillman, Melvin Henriksen

All HMC Faculty Publications and Research

Memories and biography of mathematician Meyer Jerison (b. November 28, 1922 - d. March 19, 1995).

Modular Spaces And K-Widths, Asuman Güven Aksoy, Grzegorz Lewicki

CMC Faculty Publications and Research

In this paper, we show that the ball measure of noncompactness of a modular space X_p is equal to the limit of its K -widths when p is a left continuous, s-convex modular function, without any ∆₂-condition. We also obtain a similar result for SF-spaces, when the SF-norm N is uniformly continuous.

Convex Functions, Susanna Maria Zagar

Theses Digitization Project

No abstract provided.

A Study Of Finite And Linear Elasticity, Fen Rui Johnson

Theses Digitization Project

No abstract provided.

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.

The Mandelbrot Set, Jeffrey Francis Redona

Theses Digitization Project

No abstract provided.

Semisimplicity For Hopf Algebras, Michelle Diane Stutsman

Theses Digitization Project

No abstract provided.

An Almost Periodic Function Of Several Variables With No Local Minimum, Gregory S. Spradlin

Publications

No abstract provided.

The Role Of The Federal Aid In Sportfish Restoration Program In Promoting State Marine Artificial Reef Development Activities, Loren Clark Evans

Marine Affairs Theses and Major Papers

The passage of the Wallop-Breaux Amendments to the Federal Aid in Sportfish Restoration Program (FASRP), in 1984, significantly increased the funding available to states participating in the Program. Subsequently, the FASRP became the largest single source of funding for state marine artificial reef development activities. In recent years, there has been concern among program constituents that FASRP funds are not being utilized as intended. The principle question of the current research focused on how effective FASRP subsidies have been in providing meaningful benefits to state fisheries management programs. Specifically, the research focused on the application of FASRP monies in promoting …