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Articles 1051 - 1080 of 1170

Full-Text Articles in Mathematics

Interpolation Of Besov-Spaces, Ronald A. Devore, Vasil A. Popova Jan 1988

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.

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The Twentieth Fermat Number Is Composite, Jeff Young, Duncan A. Buell Jan 1988

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.

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Dual Pricing: Theory And Applications., Shikha Jha Dr. Dec 1987

Dual Pricing: Theory And Applications., Shikha Jha Dr.

Doctoral Theses

Even after thirty five yaara of planned economic develogment a large fraction of people in India cannot afford to have the basic necessities Like food, clothing and shelter. To quote from the Econonic Survey [1984-85), Buoyant agricultural parformance thus far has dependad mainly upon production gains in wheat and rice. Performance with raspect to other critical crops, such as pulser and oilseeds, and dryland farning generally, remains veak. The rate of growth of industry, although somewhat higher than in the ten years preceding the sixth Plan, remains low... population continues to grow at about 2 percent per year. At this …

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Integer Squares With Constant Second Difference, Duncan A. Buell Oct 1987

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.

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Sequentially Compact, Franklin-Rajagopalan Spaces, Peter J. Nyikos, J. E. Vaughan Sep 1987

Sequentially Compact, Franklin-Rajagopalan Spaces, Peter J. Nyikos, J. E. Vaughan

Faculty Publications

No abstract provided.

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Σary, Moorhead State University, Mathematics Department May 1987

Σary, Moorhead State University, Mathematics Department

Math Department Newsletters

No abstract provided.

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Logic And Proof For Mathematicians: A Twentieth Century Perspective, Calvin Jongsma May 1987

Logic And Proof For Mathematicians: A Twentieth Century Perspective, Calvin Jongsma

Faculty Work Comprehensive List

If there is one aspect of mathematics education that frustrates both students and teachers alike, it has got to be learning how to do valid proofs. Students often feel they really know the mathematics they're studying but that their teachers place some unreasonably stringent demands upon their arguments. Teachers, on the other hand, can't understand where their students get some of the wacky arguments they come up with. They argue in circles, they end up proving a different result from what they claim, they make false statements, they draw invalid inferences - it can be quite exasperating at times! Unfortunately, …

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Extensions Of Gromov Theory., Sumanta Guha Dr. Feb 1987

Extensions Of Gromov Theory., Sumanta Guha Dr.

Doctoral Theses

Gromov formulated and proved a very general Smale - Hirsch - Phillips type theorem. The theorem concerns the claseification of a class of cross-sections o of a smooth fibre bundle E X over a non-closed manifold X such that each r-jet j(0) satisfies an openness condition as well es a stability condition. Briefly, the openness condition is that each j(a) is a cross-section of some preacribed open subbundle of the bundle of r-jets of local oross- sections of EX, and. the etability condition is that this subbundle remain invarient under the action of the paeudogroup of local diffeo- morphisme of …

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Class Groups Of Quadratic Fields Ii, Duncan A. Buell Jan 1987

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.

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Approximation By Rational Functions, Ronald A. Devore Dec 1986

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.

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Alfred Tarski And Undecidable Theories, George F. Mcnulty Dec 1986

Alfred Tarski And Undecidable Theories, George F. Mcnulty

Faculty Publications

No abstract provided.

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Σary N=0, Moorhead State University, Mathematics Department May 1986

Σary N=0, Moorhead State University, Mathematics Department

Math Department Newsletters

No abstract provided.

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On The Atomic Decomposition Of H^1 And Interpolation, Robert Sharpley May 1986

On The Atomic Decomposition Of H^1 And Interpolation, Robert Sharpley

Faculty Publications

© 1986 by American Mathematical Society

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Nonexistence Of Stable Harmonic Maps To And From Certain Homogeneous Spaces And Submanifolds Of Euclidean-Space, Ralph Howard, S Walter Wei Mar 1986

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.

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Optimum Sampling Strategies., T. V. Hanurav Dr. Feb 1986

Optimum Sampling Strategies., T. V. Hanurav Dr.

Doctoral Theses

The advantages sample surveys over complete censuses are well known and seem to be fully appreaciated as is evidenced by the increasing use of sample surveys now a days as a means of collecting information.The use of probability theory to make rigorous inductive inferences has been well recognised for a long time. Such inferences can be made only when observations which form the basis of the infe- rence are generated by some chance mechanism, In traditional applica- tions, the statistician usually assume s or takes for granted some kind of chan ce mechanism behind the o bservations, where as in …

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Multivariate Rational Approximation, Ronald A. Devore, Xiang Ming Yu Jan 1986

Multivariate Rational Approximation, Ronald A. Devore, Xiang Ming Yu

Faculty Publications

No abstract provided.

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Sequences In Power Residue Classes, Duncan A. Buell, Richard H. Hudson Jan 1986

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.

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Certain Generalisations Of Acceptance Sampling Plans By Attributes., R. J. Pandey Dr. Aug 1985

Certain Generalisations Of Acceptance Sampling Plans By Attributes., R. J. Pandey Dr.

Doctoral Theses

The use of inspection gained importance when people started getting conscious of maintaining the quality of manufactured product. According to Anscombe (1958) inspection for quality in the form of acceptance sampling plans originated around 1920. The classical work of Dodge and Romig (1929) put acceptance sampling on a firm footing. In general, sampling inspection can be broadly classified into (i) lot- by-lot inspection (11) bulk sampling inspection and (iii) "continuous; sampling inspection.The lot-by-lot sampling inspection is applied where a series of lots or batches of discrete items are available for inspection. On the other hand, a batch of cotton, a …

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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 Aug 1985

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.

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Σary N=0, Moorhead State University, Mathematics Department May 1985

Σary N=0, Moorhead State University, Mathematics Department

Math Department Newsletters

No abstract provided.

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Some Spectral Properties Of Three And Four Body Scrodinger Operators By The Methods Of Time Dependent Scattering Theory., M. Krishna Dr. Apr 1985

Some Spectral Properties Of Three And Four Body Scrodinger Operators By The Methods Of Time Dependent Scattering Theory., M. Krishna Dr.

Doctoral Theses

In the present work we shall deal with the asymptotic completeness problem in three and four (Quantum Mechanical) particle scattering. This thesis is divided into three chapters. In the first chapter we give an introduction to Scattering Phencmenon and give a description of the N-particle completeness problem.Then we collect some results preliminary to the later chapters and some results that would complete a discussion of the problem.The second chapter consists of some technical results and a reduction of the asymptotic completeness problem in N-particlerscattering via time dependent methods. The last chapter has two sections. The first section deals with verifying …

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Interpolating Sequences On Curves, Samih Obaid, D. Rung Jan 1985

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.

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Life Table Construction From Population Age Distributions Suffering From Response Biases In Age-Reporting:A New Technique(Not Requiring Age Smoothing)With Application To Indian Census Age-Returns., Subrata Lahiri Dr. Nov 1984

Life Table Construction From Population Age Distributions Suffering From Response Biases In Age-Reporting:A New Technique(Not Requiring Age Smoothing)With Application To Indian Census Age-Returns., Subrata Lahiri Dr.

Doctoral Theses

Preliminary concepts of life tables, its role in demographic analysis, a brief chronological review of various literature on the construction of life table starting from John Grants investigation on mortality, along with an introduction to the basic problem and objectives of the present study.Chapter II describes the concept and utility of cumulative census survival ratios, first introduced by Professors Ansley J. Coale and Paul Demeny (1967) as the ratio of the number of persons aged x+10 end above enumerated at time t+10 to the number of persons aged x and above enumerated at time t. These are compared to the …

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On The Choice Of Shadow Prices For Project Evaluation., Jean Dreze Dr. Aug 1984

On The Choice Of Shadow Prices For Project Evaluation., Jean Dreze Dr.

Doctoral Theses

Manohar athanna is one of the remotest parts of Jhalawar District (Rajasthan, India). In the month of June it offers a striking contrast of scenic beauty and economic destitution. Agricultural activity is at a virtual standstill. The soil is very arid, irrigation practically non-existent, and by then the villagers (many of them tribals) have resolved to wait upon the good will of the rain gods.. Hence they have very little to do, or at least so they believe. Some gather wood to sell it in Manohar, walking miles under the scorching sun for a meagre reward, and adding slowly but …

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Deformation And Linkage Of Gorenstein Algebras, Andrew R. Kustin, Matthew Miller Aug 1984

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.

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The Expectation Of Success Using A Monte Carlo Factoring Method – Some Statistics On Quadratic Class Numbers, Duncan A. Buell Jul 1984

The Expectation Of Success Using A Monte Carlo Factoring Method – Some Statistics On Quadratic Class Numbers, Duncan A. Buell

Faculty Publications

A method has been proposed for factoring an integer N by using the structure of the class groups of quadratic fields of radicand – kN for various small multipliers k. We discuss the method and an implementation of the method, and various theoretical questions which have an impact on the practical use of the method in factoring. Some of the theoretical questions relate to the nature of class numbers and class groups; we present extensive statistical results on the class numbers and class groups of imaginary quadratic fields.

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On The Differentiability Of Functions In Rn, Ronald A. Devore, Robert C. Sharpley Jun 1984

On The Differentiability Of Functions In Rn, Ronald A. Devore, Robert C. Sharpley

Faculty Publications

No abstract provided.

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Error-Bounds For Gaussian Quadrature And Weighted-L1 Polynomial Approximation, Ronald A. Devore, L R. Scott Apr 1984

Error-Bounds For Gaussian Quadrature And Weighted-L1 Polynomial Approximation, Ronald A. Devore, L R. Scott

Faculty Publications

Error bounds for Gaussian quadrature are given in terms of the number of quadrature points and smoothness properties of the function whose integral is being approximated. An intermediate step involves a weighted-L' polynomial approximation problem which is treated in a more general context than that specifically required to bound the Gaussian quadrature error.

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Cultural Commentary: What Hath Rubik Wrought?, Thomas E. Moore Mar 1984

Cultural Commentary: What Hath Rubik Wrought?, Thomas E. Moore

Bridgewater Review

In May, 1980 the Ideal Toy Company launched its newest offering, Rubik’s Cube, at a party in Hollywood, hosted by Zsa-Zsa Gabor and Solomon W. Golomb. Of course Gabor, like the cube, is a Hungarian product but who is Golomb? Well, he is a mathematician at the University of Southern California and an expert in number theory, combinatorics, abstract algebra and coding theory. Rubik invented the cube as an aid in teaching his students three-dimensional thinking. The cube has become the darling of algebraists, who use it to teach group theory to their students.

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On First Countable, Countably Compact Spaces. I: (Omega-1,Omega-1-Star)-Gaps, Peter J. Nyikos, Jerry E. Vaughan Oct 1983

On First Countable, Countably Compact Spaces. I: (Omega-1,Omega-1-Star)-Gaps, Peter J. Nyikos, Jerry E. Vaughan

Faculty Publications

No abstract provided.

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