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Articles 24181 - 24210 of 27404

Full-Text Articles in Physical Sciences and Mathematics

Geometrical Modeling Of Material Aging, Alexander Chudnovsky, Serge Preston Jan 1996

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. …

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Configuration Spaces And Imbedding Invariants, Raoul Bott Jan 1996

Configuration Spaces And Imbedding Invariants, Raoul Bott

Turkish Journal of Mathematics

No abstract provided.

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Contact Structures And Foliations On 3-Manifolds, Yakov M. Eliashberg, William P. Thurston Jan 1996

Contact Structures And Foliations On 3-Manifolds, Yakov M. Eliashberg, William P. Thurston

Turkish Journal of Mathematics

No abstract provided.

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Lectures On Seiberg-Witten Invariants, Selman Akbulut Jan 1996

Lectures On Seiberg-Witten Invariants, Selman Akbulut

Turkish Journal of Mathematics

No abstract provided.

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The Multi-Monopole Equations For K\"Ahler Surfaces, James A. Bryan, Richard Wentworth Jan 1996

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.

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The Minimal Genus Of An Embedded Surface Of Non-Negative Square In A Rational Surface, Daniel Ruberman Jan 1996

The Minimal Genus Of An Embedded Surface Of Non-Negative Square In A Rational Surface, Daniel Ruberman

Turkish Journal of Mathematics

No abstract provided.

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A Note On The Geography Of Symplectic Manifolds, Andras Stipsicz Jan 1996

A Note On The Geography Of Symplectic Manifolds, Andras Stipsicz

Turkish Journal of Mathematics

No abstract provided.

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Star Topological Groupoids, O. Mucuk Jan 1996

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.

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Operations With The Periodic Decimal Expansions, H. Ardahan Jan 1996

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, …

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A Note On Intuitionistic Sets And Intuitionistic Points, D. Çoker Jan 1996

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.

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Finite Dimensional Attractors For A Class Of Semilinear Wave Equations, A. Eden, V. Kalantarov Jan 1996

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 …

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An Extension Of The Binomial Theorem With Application To Stability Theory, Z. Zahreddinea Jan 1996

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.

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A Note On Gamma Rings, M. Sapanci, A. Nakajimaz Jan 1996

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.

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On A Differential Sequence In Geometry, E. Ortaçgi̇l Jan 1996

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.

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On Spaces Of Generalized Dirichlet Series, M. Dragilev Jan 1996

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.

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A Central Limit Theorem For Certain Nonlinear Statistics In Repeated Sampling Of A Finite Population, Chien-Pai Han, D. L. Hawkins Jan 1996

A Central Limit Theorem For Certain Nonlinear Statistics In Repeated Sampling Of A Finite Population, Chien-Pai Han, D. L. Hawkins

Mathematics Technical Papers

We prove a central limit theorem for the asymptotic joint distribution of non-linear statistics of the form [see pdf for notation] and linear statistics of the form [see pdf for notation], based on independent repeated samples of a finite population of size N with sample indicators [see pdf for notation] for the tth sample.

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Conservative Motion Of Discrete, Hexahedral Gyroscope, Donald Greenspan Jan 1996

Conservative Motion Of Discrete, Hexahedral Gyroscope, Donald Greenspan

Mathematics Technical Papers

Gyroscopic motion is simulated by applying a molecular dynamics formulation to a rigid hexahedron. The conservative dynamical differential equations are solved numerically in such a fashion that all the system invariants are preserved. Examples which included precession, nutation, and a combination of looping and cusp formation are described and discussed.

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Invariant Subspaces Of The Harmonic Dirichlet Space With Large Co-Dimension, William T. Ross Jan 1996

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

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A Survey Of Hadamard Difference Sets, James A. Davis, Jonathan Jedwab Jan 1996

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].

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The Inverse Problem Of The Calculus Of Variations For Scala Fourth Order Ordinary Differential Equations, Mark E. Fels Jan 1996

The Inverse Problem Of The Calculus Of Variations For Scala Fourth Order Ordinary Differential Equations, Mark E. Fels

Mark Eric Fels

A simple invariant characterization of the scalar fourth-order ordinary differential equations which admit a variational multiplier is given. The necessary and sufficient conditions for the existence of a multiplier are expressed in terms of the vanishing of two relative invariants which can be associated with any fourth-order equation through the application of Cartan's equivalence method. The solution to the inverse problem for fourth-order scalar equations provides the solution to an equivalence problem for second-order Lagrangians, as well as the precise relationship between the symmetry algebra of a variational equation and the divergence symmetry algebra of the associated Lagrangian.

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Paracompact Subspaces In The Box Product Topology, Peter Nyikos, Leszek Piatkiwicz Jan 1996

Paracompact Subspaces In The Box Product Topology, Peter Nyikos, Leszek Piatkiwicz

Faculty Publications

No abstract provided.

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Cardinal Invariants Concerning Extendable And Peripherally Continuous Functions, Krzysztof Ciesielski Jan 1996

Cardinal Invariants Concerning Extendable And Peripherally Continuous Functions, Krzysztof Ciesielski

Faculty & Staff Scholarship

Let F be a family of real functions, F ⊆ R R . In the paper we will examine the following question. For which families F ⊆ R R does there exist g : R → R such that f + g ∈ F for all f ∈ F? More precisely, we will study a cardinal function A(F) defined as the smallest cardinality of a family F ⊆ R R for which there is no such g. We will prove that A(Ext) = A(PR) = c + and A(PC) = 2c , where Ext, PR and PC stand for the …

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A Study Of The Relationship Between Use Of Technology In Math And Higher Test Scores, Mary Ann Grooters Jan 1996

A Study Of The Relationship Between Use Of Technology In Math And Higher Test Scores, Mary Ann Grooters

Masters Theses

This thesis explored the relationship of a technology enhanced curriculum to higher test scores and higher student motivation. This thesis involved two seventh grade math classes in Kentwood, Michigan. A control class received instruction including lectures, written assignments, and projects. The test group received similar assignments and projects and in addition were given technology supported exercises. A survey given to the test group examined motivation levels, and end of chapter tests compared achievement scores of both groups. The findings indicate that a technology enhanced curriculum does not lead to higher test scores but does impact student motivation to learn math.

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Mathematical Rebuses, Florentin Smarandache Jan 1996

Mathematical Rebuses, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

No abstract provided.

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Asymptotic Conservation Laws In Classical Field Theory, Ian M. Anderson, Charles G. Torre Jan 1996

Asymptotic Conservation Laws In Classical Field Theory, Ian M. Anderson, Charles G. Torre

Mathematics and Statistics Faculty Publications

A new, general, field theoretic approach to the derivation of asymptotic conservation laws is presented. In this approach asymptotic conservation laws are constructed directly from the field equations according to a universal prescription which does not rely upon the existence of Noether identities or any Lagrangian or Hamiltonian formalisms. The resulting general expressions of the conservation laws enjoy important invariance properties and synthesize all known asymptotic conservation laws, such as the Arnowitt-Deser-Misner energy in general relativity.

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Dynamical Simulation Of The Simplest Hydrides, Donald Greenspan Jan 1996

Dynamical Simulation Of The Simplest Hydrides, Donald Greenspan

Mathematics Technical Papers

In agreement with recent results of Gell-Mann and Hartle, we approximate electron motions in ground state Li7H1 and Li7H2 using an energy conserving numerical method for the solution of Newton's equations and a novel assumption about the interaction of the bonding electrons. Initial calculations for the first excited state of Li7H1 are also discussed. I. Introduction. Quantum dynamics is usually perceived through the time dependent Schrödinger equation, for which related analytical and computational problems appear to be insurmountable at the present time. There is however an alternate approach which can be implemented readily when the dynamical behavior is periodic. This …

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Minimum Path Problems In Normed Spaces, Reflection And Refraction, Michael Golomb, Mostafa Ghandehari Jan 1996

Minimum Path Problems In Normed Spaces, Reflection And Refraction, Michael Golomb, Mostafa Ghandehari

Mathematics Technical Papers

The main minimum (or extremum) path problem in this paper deals with the "law of refraction" at a curve separating the plane into two parts with different norms. Analytic and geometric characterization for the point at which refraction takes place and formulas for the angles that this incident and refracted rays make with a fixed axis or with the normal to the curve are established. The case where the unit circle of the two norms are Euclidean circles with different radii leads to the traditional Snell's Law. The other problem deals with the "law of reflection" from a curve in …

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Conservative Motion Of Discrete, Tetrahedral Top On A Smooth Horizontal Plane, Donald Greenspan Jan 1996

Conservative Motion Of Discrete, Tetrahedral Top On A Smooth Horizontal Plane, Donald Greenspan

Mathematics Technical Papers

Tetrahedral tops are simulated as discrete, rigid bodies in rotation by introducing a molecular mechanics formulation. The contact point of the top with the XY plane is allowed to move in the plane. The conservative, dynamical differential equations are solved numerically in such a fashion that all the system invariants are preserved. Examples which include precession, nutation, cusp formation, and looping are described and discussed.

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Two Remarks On Totally Balanced Games, Juan-Enrique Martínez-Legaz Jan 1996

Two Remarks On Totally Balanced Games, Juan-Enrique Martínez-Legaz

Mathematics Technical Papers

Two results on totally balanced TU games are presented. It is first shown that the core of any subgame of a non-negative totally balanced game can be easily obtained from the maximal average value function of the game. The second result is a characterization of convex games as those games all of whose marginal games are totally balanced.

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On Noninvertible Mappings Of The Plane: Eruptions, Lora Billings, James H. Curry Jan 1996

On Noninvertible Mappings Of The Plane: Eruptions, Lora Billings, James H. Curry

Department of Mathematics Facuty Scholarship and Creative Works

In this paper we are concerned with the dynamics of noninvertible transformations of the plane. Three examples are explored and possibly a new bifurcation, or ‘‘eruption,’’ is described. A fundamental role is played by the interactions of fixed points and singular curves. Other critical elements in the phase space include periodic points and an invariant line. The dynamics along the invariant line, in two of the examples, reduces to the one-dimensional Newton’s method which is conjugate to a degree two rational map. We also determine, computationally, the characteristic exponents for all of the systems. An unexpected coincidence is that the …

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