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Articles 241 - 270 of 288
Full-Text Articles in Mathematics
A Family Of Complexes Associated To An Almost Alternating Map, With Applications To Residual Intersections, Andrew R. Kustin, Bernd Ulrich
A Family Of Complexes Associated To An Almost Alternating Map, With Applications To Residual Intersections, Andrew R. Kustin, Bernd Ulrich
Faculty Publications
No abstract provided.
The Analysis Of A Model For Wave Motion In A Liquid Semiconductor: Boundary Interaction And Variable Conductivity, William V. Smith
The Analysis Of A Model For Wave Motion In A Liquid Semiconductor: Boundary Interaction And Variable Conductivity, William V. Smith
Faculty Publications
The theory of conducting fluids in relative motion with small conductivity is studied with a model including the Maxwell displacement current. The model is linearized, and the interaction of waves with a plane boundary in three space is studied for two orientations of the external magnetic field. It is found that two families of boundary conditions preserve energy in one orientation (external field orthogonal to the boundary), while in the other (external field parallel to the boundary) only one condition exists which preserves energy. It is shown that generalized Fourier transforms exist, generated from the generalized eigenfunction expansions. Further, it …
A Fixed Point Property For The Lorentz Space Lp,1(Μ), N L. Carothers, S J. Dilworth, C J. Lennard, D A. Trautman
A Fixed Point Property For The Lorentz Space Lp,1(Μ), N L. Carothers, S J. Dilworth, C J. Lennard, D A. Trautman
Faculty Publications
No abstract provided.
Degree Of Adaptive Approximation, Ronald A. Devore, Ming Yu Xiang
Degree Of Adaptive Approximation, Ronald A. Devore, Ming Yu Xiang
Faculty Publications
We obtain various estimates for the error in adaptive approximation and also establish a relationship between adaptive approximation and free-knot spline approximation.
Eigenvalue Problems Of Ginzburg–Landau Operator In Bounded Domains, Kening Lu, Xing-Bin Pan
Eigenvalue Problems Of Ginzburg–Landau Operator In Bounded Domains, Kening Lu, Xing-Bin Pan
Faculty Publications
In this paper we study the eigenvalue problems for the Ginzburg–Landau operator with a large parameter in bounded domains in [openface R]2 under gauge invariant boundary conditions. The estimates for the eigenvalues are obtained and the asymptotic behavior of the associated eigenfunctions is discussed. These results play a key role in estimating the critical magnetic field in the mathematical theory of superconductivity.
Norms Of Positive Operators On Lp-Spaces, Ralph Howard, Anton R. Schep
Norms Of Positive Operators On Lp-Spaces, Ralph Howard, Anton R. Schep
Faculty Publications
No abstract provided.
A Scale Of Linear Spaces Related To The Lp Scale, S J. Dilworth
A Scale Of Linear Spaces Related To The Lp Scale, S J. Dilworth
Faculty Publications
No abstract provided.
On Two Function-Spaces Which Are Similar To L0, S J. Dilworth, D A. Trautman
On Two Function-Spaces Which Are Similar To L0, S J. Dilworth, D A. Trautman
Faculty Publications
No abstract provided.
A Note On Roe's Characterization Of The Sine Function, Ralph Howard
A Note On Roe's Characterization Of The Sine Function, Ralph Howard
Faculty Publications
No abstract provided.
Subspaces Of Lp,Q, N L. Carothers, S J. Dilworth
Subspaces Of Lp,Q, N L. Carothers, S J. Dilworth
Faculty Publications
We examine the subspace structure of the Lorentz function space Lp,q[0, oo). Our main result is that a subspace of Lp,q[0, oo), p ^ 2, q < oo,must either strongly embed in Lp[0,1] or contain a complemented copy of lq.
Inequalities For Sums Of Independent Random Variables, N L. Carothers, S J. Dilworth
Inequalities For Sums Of Independent Random Variables, N L. Carothers, S J. Dilworth
Faculty Publications
A moment inequality is proved for sums of independent random variables in the Lorentz spaces LPtq, thus extending an inequality of Rosenthal. The latter result is used in combination with a square function inequality to give a proof of a Banach space isomorphism theorem. Further moment inequalities are also proved.
Analysis Of The Convergence History Of Fluid Flow Through Nozzles With Shocks, Mohammad Saleem, A Cheer, M Hafez, T Pulliam
Analysis Of The Convergence History Of Fluid Flow Through Nozzles With Shocks, Mohammad Saleem, A Cheer, M Hafez, T Pulliam
Faculty Publications
"Convergence of iterative methods for the solution of the steady quasi-one-dimensional nozzle problem with shocks is considered. The finite-difference algorithms obtained from implicit schemes are used to approximate both the Euler and Navier-Stokes Equations. These algorithms are investigated for stability and convergence characteristics. The numerical methods are broken down into their matrix-vector components and then analyzed by examining a subset of the eigensystem using a method based on the Arnoldi process. The eigenvalues obtained by this method are accurate to within 5 digits for the largest ones and to within 2 digits for the ones smaller in magnitude compared the …
Quasilinear Evolution Equations In Nonclassical Diffusion, Kenneth Kuttler, Elias Aifantis
Quasilinear Evolution Equations In Nonclassical Diffusion, Kenneth Kuttler, Elias Aifantis
Faculty Publications
After describing the motivation leading to some nonclassical diffusion equations, we formulate a general abstract nonlinear evolution equation and establish existence of solutions. Then we return to the original equation and discuss particular initial-boundary value problems.
Involutions On Banach Spaces And Reflexivity, S J. Dilworth
Involutions On Banach Spaces And Reflexivity, S J. Dilworth
Faculty Publications
No abstract provided.
Interpolation Of Besov-Spaces, Ronald A. Devore, Vasil A. Popova
Interpolation Of Besov-Spaces, Ronald A. Devore, Vasil A. Popova
Faculty Publications
We investigate Besov spaces and their connection with dyadic spline approximation in Lp(Omega), 0 < p (less than or equal to) infinity. Our main results are: the determination of the interpolation spaces between a pair of Besov spaces; an atomic decomposition for functions in a Besov space; the characterization of the class of functions which have certain prescribed degree of approximation by dyadic splines.
The Twentieth Fermat Number Is Composite, Jeff Young, Duncan A. Buell
The Twentieth Fermat Number Is Composite, Jeff Young, Duncan A. Buell
Faculty Publications
The twentieth Fermat number, F20 = 22^20 +1, has been proven composite by machine computation.
Integer Squares With Constant Second Difference, Duncan A. Buell
Integer Squares With Constant Second Difference, Duncan A. Buell
Faculty Publications
The problem addressed is this: Do there exist nonconsecutive integers n0, n1, n2, . . ., such that the second differences of the squares of the ni are constant? Specifically, can that constant be equal to 2? A complete characterization of sequences of length four can be given. The question of whether or not sequences of length five exist is still open but the existence or nonexistence of such sequences can be described in a more algorithmic way than the simple statement of the problem.
Sequentially Compact, Franklin-Rajagopalan Spaces, Peter J. Nyikos, J. E. Vaughan
Sequentially Compact, Franklin-Rajagopalan Spaces, Peter J. Nyikos, J. E. Vaughan
Faculty Publications
No abstract provided.
The Sharpness Of Some Cluster Set Results, D. Rung, Samih Obaid
The Sharpness Of Some Cluster Set Results, D. Rung, Samih Obaid
Faculty Publications
We show that a recent cluster set theorem of Rung is sharp in a certain sense. This is accomplished through the construction of an interpolating sequence whose limit set is closed, totally disconnected and porous. The results also generalize some of Dolzenko's cluster set theorems.
Class Groups Of Quadratic Fields Ii, Duncan A. Buell
Class Groups Of Quadratic Fields Ii, Duncan A. Buell
Faculty Publications
A computation has been made of the noncyclic class groups of imaginary quadratic fields Q(√-D) for even and odd discriminants - D from 0 to - 25000000. Among the results are that 95% of the class groups are cyclic, and that -11203620 and -18397407 are the first discriminants of imaginary quadratic fields for which the class group has rank three in the 5-Sylow subgroup. The latter was known to be of rank three; this computation demonstrates that it is the first odd discriminant of 5-rank three or more.
Approximation By Rational Functions, Ronald A. Devore
Approximation By Rational Functions, Ronald A. Devore
Faculty Publications
Making use of the Hardy-Littlewood maximal function, we give a new proof of the following theorem of Pekarski: If f' is in L log L on a finite interval, then f can be approximated in the uniform norm by rational functions of degree n to an error 0(1/n) on that interval.
Alfred Tarski And Undecidable Theories, George F. Mcnulty
Alfred Tarski And Undecidable Theories, George F. Mcnulty
Faculty Publications
No abstract provided.
Sequence Alignment With Matched Sections, Jerrold R. Griggs, Philip J. Hanlon, Michael S. Waterman
Sequence Alignment With Matched Sections, Jerrold R. Griggs, Philip J. Hanlon, Michael S. Waterman
Faculty Publications
In molecular biology, two finite sequences are compared by displaying one sequence written over another in an alignment. The number of alignments of two sequences is related to the Stanton-Cowan numbers. This paper gives asymptotics for the number of alignments of two sequences of length n with matching sections of size at least b.
On The Atomic Decomposition Of H^1 And Interpolation, Robert Sharpley
On The Atomic Decomposition Of H^1 And Interpolation, Robert Sharpley
Faculty Publications
© 1986 by American Mathematical Society
Nonexistence Of Stable Harmonic Maps To And From Certain Homogeneous Spaces And Submanifolds Of Euclidean-Space, Ralph Howard, S Walter Wei
Nonexistence Of Stable Harmonic Maps To And From Certain Homogeneous Spaces And Submanifolds Of Euclidean-Space, Ralph Howard, S Walter Wei
Faculty Publications
Call a compact Riemannian manifold M a strongly unstable manifold if it is not the range or domain of a nonconstant stable harmonic map and also the homotopy class of any map to or from M contains elements of arbitrarily small energy. If M is isometrically immersed in Euclidean space, then a condition on the second fundamental form of M is given which implies M is strongly unstable. As compact isotropy irreducible homogeneous spaces have "standard" immersions into Euclidean space this allows a complete list of the strongly unstable compact irreducible symmetric spaces to be made.
Multivariate Rational Approximation, Ronald A. Devore, Xiang Ming Yu
Multivariate Rational Approximation, Ronald A. Devore, Xiang Ming Yu
Faculty Publications
No abstract provided.
Sequences In Power Residue Classes, Duncan A. Buell, Richard H. Hudson
Sequences In Power Residue Classes, Duncan A. Buell, Richard H. Hudson
Faculty Publications
Using A. Weil’s estimates the authors have given bounds for the largest prime P0 such that all primes P > P0 have sequences of quadratic residues of length m. For m ≤ 8 the smallest prime having m consecutive quadratic residues is ≡ 3(mod 4) and P0 ≡ 1 (mod 4). The reason for this phenomenon is investigated in this paper and the theory developed is used to successfully uncover analogous phenomena for rth power residues, r ≥ 2, r even.
Inequalities Relating Sectional Curvatures Of A Submanifold To The Size Of Its 2nd Fndamental Form And Applications To Pinching Theorems For Submanifolds, Ralph Howard, S Walter Wei
Inequalities Relating Sectional Curvatures Of A Submanifold To The Size Of Its 2nd Fndamental Form And Applications To Pinching Theorems For Submanifolds, Ralph Howard, S Walter Wei
Faculty Publications
No abstract provided.
Interpolating Sequences On Curves, Samih Obaid, D. Rung
Interpolating Sequences On Curves, Samih Obaid, D. Rung
Faculty Publications
We established a condition on boundary curves (ending at points) lying either in the unit disc or the upper half plane which implies that any consecutively separated sequence, in the hyperbolic distance, lying on one of these curves is an interpolating sequence for bounded holomorphic functions.
Deformation And Linkage Of Gorenstein Algebras, Andrew R. Kustin, Matthew Miller
Deformation And Linkage Of Gorenstein Algebras, Andrew R. Kustin, Matthew Miller
Faculty Publications
General double linkage of Gorenstein algebras is defined. Rigidity, genericity, and regularity up to codimension six all pass across general double linkage. Rigid strongly unobstructed codimension four Gorenstein algebras which lie in different Herzog classes are produced.