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Articles 23671 - 23700 of 27424

Full-Text Articles in Physical Sciences and Mathematics

On The Unitary Systems Affiliated With Orthonormal Wavelet Theory In N-Dimensions, Eugen J. Ionascu Jan 1998

On The Unitary Systems Affiliated With Orthonormal Wavelet Theory In N-Dimensions, Eugen J. Ionascu

Faculty Bibliography

We consider systems of unitary operators on the complex Hilbert space L2 (Rn) of the form U :=UDA , Tv1 , ..., Tvn :=[DmT l1 v1 }}} Tln vn : m, l1 , ..., ln # Z], where DA is the unitary operator corresponding to dilation by an n_n real invertible matrix A and Tv1 , ..., Tvn are the unitary operators corresponding to translations by the vectors in a basis [v1 , ..., vn] for Rn . Orthonormal wavelets are vectors in L2 (Rn ) which are complete wandering vectors for U in the sense that [U: U # …

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Interactions Of Topological Kinks In Two Coupled Rings Of Nonlinear Oscillators, A E. Duwel, C P. Heij, J C. Weisenfeld, Stephen M.K. Yeung, E Trias, S. J.K. Vardy, H. S.J. Van Der Zant, S H. Strogatz, T P. Orlando Jan 1998

Interactions Of Topological Kinks In Two Coupled Rings Of Nonlinear Oscillators, A E. Duwel, C P. Heij, J C. Weisenfeld, Stephen M.K. Yeung, E Trias, S. J.K. Vardy, H. S.J. Van Der Zant, S H. Strogatz, T P. Orlando

Mathematics

Two discrete rings of nonlinear oscillators with topologically trapped kinks exhibit features due to coupling interactions between the rings. These interaction effects include phase locking between kinks in different rings, precession of the kink/antikink collision region, excitation of kink/antikink pairs, and time-dependent switching. We study these phenomena in simulations of two coupled discrete sine-Gordon equations, and in experiments on two inductively coupled rings of niobium Josephson junctions.

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Exceptional Objects, John Stillwell Jan 1998

Exceptional Objects, John Stillwell

Mathematics

No abstract provided.

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Validating A Health Questionnaire For Predicting Neuropathy In Patients With Insulin-Dependent Diabetes Mellitus, Matthew J. Maurer Jan 1998

Validating A Health Questionnaire For Predicting Neuropathy In Patients With Insulin-Dependent Diabetes Mellitus, Matthew J. Maurer

Honors Theses, 1963-2015

Questionnaires are a cost-effective method for screening large numbers of people for health problems. More expensive clinical follow-up can focus on people whose responses to the questionnaire suggest they are most at risk. To my knowledge, no questionnaire has ever been developed to screen for neuropathy in diabetics. Using the questionnaire developed by Dr. Peter Cavanagh and Dr. Robert Van Deursen at the Center for Locomotion Studies (CELOS) at Penn State University, I was able to create a model from the questionnaire that predicts the presence of neuropathy.

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Further Properties Of An Extremal Set Of Uniqueness, David E. Grow, Matt Insall Jan 1998

Further Properties Of An Extremal Set Of Uniqueness, David E. Grow, Matt Insall

Mathematics and Statistics Faculty Research & Creative Works

Consider the circle group T = R mod 2_ as the interval [0, 1). Then each x 2 T has a binary expansion: x =P1 k=1 xk2−k where each xk is 0 or 1. Let S be the set of x with a binary expansionsuch that the number of 1's does not exceed the number of the leading zeros by more than one. The authors prove that the countable compact set S cannot be expressed as the union of a finite number of Dirichlet sets.

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Attractor Dimension Estimates For Two-Dimensional Shear Flows, Charles R. Doering, Xiaoming Wang Jan 1998

Attractor Dimension Estimates For Two-Dimensional Shear Flows, Charles R. Doering, Xiaoming Wang

Mathematics and Statistics Faculty Research & Creative Works

We study the large time behavior of boundary and pressure-gradient driven incompressible fluid flows in elongated two-dimensional channels with emphasis on estimates for their degrees of freedom, i.e., the dimension of the attractor for the solutions of the Navier-Stokes equations. for boundary driven shear flows and flux driven channel flows we present upper bounds for the degrees of freedom of the form ca Re3/2 where c is a universal constant, a denotes the aspect ratio of the channel (length/width), and Re is the Reynolds number based on the channel width and the imposed "outer" velocity scale. for fixed pressure …

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Atomoicity Of Mappings, J. J. Charatonik, W. J. Charatonik Jan 1998

Atomoicity Of Mappings, J. J. Charatonik, W. J. Charatonik

Mathematics and Statistics Faculty Research & Creative Works

A mapping f:X→Y between continua X and Y is said to be atomic at a subcontinuumK of the domain X provided that f(K) is nondegenerate and K=f-1(f(K)). The set of subcontinua at which a given mapping is atomic, considered as a subspace of the hyperspace of all subcontinua of X, is studied. The introduced concept is applied to get new characterizations of atomic and monotone mappings. Some related questions are asked.

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Arc Approximation Property And Confluence Of Induced Mappings, W. J. Charatonik Jan 1998

Arc Approximation Property And Confluence Of Induced Mappings, W. J. Charatonik

Mathematics and Statistics Faculty Research & Creative Works

We say that a continuum X has the arc approximation property if every subcontinuum K of X is the limit of a sequence of arcwise connected subcontinua of X all containing a fixed point of K. This property is applied to exhibit a class of continua Y such that confluence of a mapping f : X - Y implies confluence of the induced mappings 2^f : 2^x - @^y and C(f) : C(x) - C(y). The converse implications are studied and similar interrelations are considered for some other classes of mappings, related to confluent ones.

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A Yoneda Description Of The Steenrod Operations, Robert R. Bruner Jan 1998

A Yoneda Description Of The Steenrod Operations, Robert R. Bruner

Mathematics Faculty Research Publications

No abstract provided.

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Some Root Invariants And Steenrod Operations In Ext_A(F2,F2), Robert R. Bruner Jan 1998

Some Root Invariants And Steenrod Operations In Ext_A(F2,F2), Robert R. Bruner

Mathematics Faculty Research Publications

We give the results of computations of root invariants in Ext over the Steenrod algebra through the 25-stem, with partial information through the 45-stem. This allows the computation of some new Steenrod operations as well.

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Some Remarks On The Root Invariant, Robert R. Bruner Jan 1998

Some Remarks On The Root Invariant, Robert R. Bruner

Mathematics Faculty Research Publications

We show how the root invariant of a product depends upon the product of the root invariants, give some examples of the equivariant definition of the root invariant, and verify a weakened form of the algebraic Bredon-Löffler conjecture.

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Wavelets And Quantum Algebras, Andrei Ludu Jan 1998

Wavelets And Quantum Algebras, Andrei Ludu

Andrei Ludu

No abstract provided.

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Mass Transfer With Chemical Reaction In The Process Of Ammonia Desorption From Aqueous Solutions Containing Carbon Dioxide, Wojciech M. Budzianowski Jan 1998

Mass Transfer With Chemical Reaction In The Process Of Ammonia Desorption From Aqueous Solutions Containing Carbon Dioxide, Wojciech M. Budzianowski

Wojciech Budzianowski

No abstract provided.

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On Distortion And Thickness Of Knots, Robert B. Kusner, John M. Sullivan Jan 1998

On Distortion And Thickness Of Knots, Robert B. Kusner, John M. Sullivan

Robert Kusner

What length of rope (of given diameter) is required to tie a particular knot? Or, to turn the problem around, given an embedded curve, how thick a regular neighborhood of the curve also is embedded? Intuitively, the diameter of the possible rope is bounded by the distance between strands at the closest crossing in the knot. But of course the distance between two points along a curve goes to zero as the points approach each other, so to make the notion precise, we need to exclude some neighborhood of the diagonal.

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The Norm In Taxicab Geometry, Cumali̇ Eki̇ci̇, I. Kocayusufoğlu, Z. Akça Jan 1998

The Norm In Taxicab Geometry, Cumali̇ Eki̇ci̇, I. Kocayusufoğlu, Z. Akça

Turkish Journal of Mathematics

In this paper, we will define the inner-product and the norm in taxicab geometry and then we will discuss this inner-product geometrically.

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The Dual Of The Bochner Space L^P(\Mu,E) For Arbitrary \Mu, Bahatti̇n Cengi̇z Jan 1998

The Dual Of The Bochner Space L^P(\Mu,E) For Arbitrary \Mu, Bahatti̇n Cengi̇z

Turkish Journal of Mathematics

Let $\mu$ be a finite measure, $E$ a Banach space, and $1\leq p

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On A Certain Subclass Of Analytic Functions With Negative Cefficients, M. K. Aouf, Nak Eun Cho Jan 1998

On A Certain Subclass Of Analytic Functions With Negative Cefficients, M. K. Aouf, Nak Eun Cho

Turkish Journal of Mathematics

The object of the present paper is to derive several interesting properties of the class $T_n\lam$ consisting of analytic and univalent functions with negative coefficients. Coefficient inequalities, distortion theorems and closure theorems of functions in the class $T_n\lam$ are determined. Also radii of close-to-convexity, starlikeness and convexity are determined. Furthermore, integral operators and modified Hadamard products of several functions belonging to the class $Tn\lam$ are studied here.

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The Non Uniform Bounds Of Remainder Term In Clt For The Sum Of Functions Of Uniform Spacings, S. Mirakhmedov, U. Kalandarov Jan 1998

The Non Uniform Bounds Of Remainder Term In Clt For The Sum Of Functions Of Uniform Spacings, S. Mirakhmedov, U. Kalandarov

Turkish Journal of Mathematics

The non uniform bound of the remainder in the central limit theorem for the sums of functions of uniform spacings is established. The bound depend on the moments of functions of the standard exponential random variables.

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Variational Lyapunov Method And Stability Theory, V. Lakshmikantham, Xinzhi Liu, S. G. Leela Jan 1998

Variational Lyapunov Method And Stability Theory, V. Lakshmikantham, Xinzhi Liu, S. G. Leela

Mathematics and System Engineering Faculty Publications

By unifying the method of variation of parameters and Lyapunov's second method, we develop a fruitful technique which we call variational Lyapunov method. We then consider the stability theory in this new framework showing the advantage of this unification.

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Quality Evaluation Methods – A Review, Boyan N. Dimitrov Jan 1998

Quality Evaluation Methods – A Review, Boyan N. Dimitrov

Mathematics Publications

Quality is understood as a set of features that determine how a product fits to satisfy certain needs. Therefore, a set of measurements X1, X2,…, Xn characterizes each product, and also serves as information in evaluation of product's quality. Individual measurements Xi are quantitative (numerical) or qualitative (non-numerical) variables expressing the value of the ith index of quality. Evaluation of the overall level of quality, comparison of similar products, measuring and reporting quality improvement and other related problems need construction of some integral quality index Q in which all individual measurements are taken into account. Several proposals for integral quality …

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Timing Analysis Of Targeted Hunter Searches, John W. Jones, David P. Roberts Jan 1998

Timing Analysis Of Targeted Hunter Searches, John W. Jones, David P. Roberts

Mathematics Publications

One can determine all primitive number fields of a given degree and discriminant with a finite search of potential defining polynomials. We develop an asymptotic formula for the number of polynomials which need to be inspected which reflects both archimedean and non-archimedean restrictions placed on the coefficients of a defining polynomial.

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Orthogonal Harmonic Analysis Of Fractal Measures, Palle Jorgensen, Steen Pedersen Jan 1998

Orthogonal Harmonic Analysis Of Fractal Measures, Palle Jorgensen, Steen Pedersen

Mathematics and Statistics Faculty Publications

We show that certain iteration systems lead to fractal measures admitting an exact orthogonal harmonic analysis.

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The Translation Planes Of Order 49 And Their Automorphism Groups, C. Charnes, U. Dempwolff Jan 1998

The Translation Planes Of Order 49 And Their Automorphism Groups, C. Charnes, U. Dempwolff

Faculty of Informatics - Papers (Archive)

Using isomorphism invariants, we enumerate the translation planes of order 49 and determine their automorphism groups.

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A Study In Geometric Construction, Nichola Sue Mcclain Jan 1998

A Study In Geometric Construction, Nichola Sue Mcclain

Theses Digitization Project

No abstract provided.

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Gn.3(C) Is Prime If N Is Odd, John Ferdinands Jan 1998

Gn.3(C) Is Prime If N Is Odd, John Ferdinands

University Faculty Publications and Creative Works

A finite CW complex X is said to be prime if for every Hurewicz fibration F → E → B with E homotopy equivalent to X, and B and F homotopically equivalent to finite CW complexes, either B or F is contractible. We show that the 3-plane complex Grassmannian Gn.3(C) is prime if n is odd.

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A Homotopy Equivalence That Is Not Homotopic To A Topological Embedding, Vo Thanh Liem, Yukio Matsumoto, Gerard A. Venema Jan 1998

A Homotopy Equivalence That Is Not Homotopic To A Topological Embedding, Vo Thanh Liem, Yukio Matsumoto, Gerard A. Venema

University Faculty Publications and Creative Works

An open subset W of Sn, n ≥ 6 or n = 4, and a homotopy equivalence f : S2 × Sn-4 → W are constructed having the property that f is not homotopic to any topological embedding.

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Quadratic Convergence Of Approximate Solutions Of Two-Point Boundary Value Problems With Impulse, Vidya Doddaballapur, Paul W. Eloe, Yongzhi Zhang Jan 1998

Quadratic Convergence Of Approximate Solutions Of Two-Point Boundary Value Problems With Impulse, Vidya Doddaballapur, Paul W. Eloe, Yongzhi Zhang

Mathematics Faculty Publications

The method of quasilinearization, coupled with the method of upper and lower solutions, is applied to a boundary value problem for an ordinary differential equation with impulse that has a unique solution. The method generates sequences of approximate solutions which converge monotonically and quadratically to the unique solution. In this work, we allow nonlinear terms with respect to velocity; in particular, Nagumo conditions are employed.

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Finite Rank Zᵈ Actions And The Loosely Bernoulli Property, Aimee S.A. Johnson, A. A. Şahin Jan 1998

Finite Rank Zᵈ Actions And The Loosely Bernoulli Property, Aimee S.A. Johnson, A. A. Şahin

Mathematics & Statistics Faculty Works

We define finite rank for Zᵈ actions and show that those finite rank actions with a certain tower shape are loosely Bernoulli for d ≥ 1.

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On The Action Of Steenrod Operations On Polynomial Algebras, İ. Karaca Jan 1998

On The Action Of Steenrod Operations On Polynomial Algebras, İ. Karaca

Turkish Journal of Mathematics

Let \( \bba \) be the mod-\( p \) Steenrod Algebra. Let \( p \) be an odd prime number and \( Z_{p} = Z/pZ \). Let \( P_{s} = Z_{p} [x_{1},x_{2},\ldots,x_{s}]. \) A polynomial \( N \in P_{s} \) is said to be hit if it is in the image of the action \( A \otimes P_{s} \ra P_{s}. \) In [10] for \( p=2, \) Wood showed that if \( \a(d+s) > s \) then every polynomial of degree \( d \) in \( P_{s} \) is hit where \( \a(d+s) \) denotes the number of ones in the …

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On The Parabolic Class Number Of Some Subgroups Of Hecke Groups, R. Keski̇n Jan 1998

On The Parabolic Class Number Of Some Subgroups Of Hecke Groups, R. Keski̇n

Turkish Journal of Mathematics

In this paper we calculate the parabolic class number of subgroups of Hecke groups ( H(\sqrt{2}), H (\sqrt{3}) ).

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