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Articles 24481 - 24510 of 27400

Full-Text Articles in Physical Sciences and Mathematics

Parametric Homotopy Principle Of Some Practical Differential Relations., Mahuya Datta Dr. Feb 1994

Parametric Homotopy Principle Of Some Practical Differential Relations., Mahuya Datta Dr.

Doctoral Theses

A system uf r-th order partial differential inequalities is a subspace in the space of r-jets of CT" maps between manifolds. The problem of homotopy classification of C solutions of such systems is stauliel in this thesis. The text roughly divides into two parts. In the first part, the problem is considered in an equivariant setting when the system is open and invariant under the action of a compact L.ie group, but may not be invariant under the action of the pseudogroup of equivariant local diffeomorphisms. The second part concerns a non-equivariant set-up without the openness condition on the systern. …

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Study Of Moduli Of Bundles., Indranil Biswas Dr. Feb 1994

Study Of Moduli Of Bundles., Indranil Biswas Dr.

Doctoral Theses

Hitchin (Hi2) realized the importance of studying pairs (E,∅) where E is a vector bundle and ∅ is a homomorphism of E into EOL for a fixed line bundle L. When C is a smooth pro jective algebraic curve this has since been studied quite extensively. One can construct a covering of C in this situation and the given data can be completely recovered by this covering map and a line bundle on the covering curve (see Beauville, Narasimhan and Ramanan (BNR]). When L is the canonical bundle this procedure gives a completely integrable system on the cotangent bundle of …

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Square Roots Of Finite Groups, Kashi Abhyankar, Daniel Grossman Feb 1994

Square Roots Of Finite Groups, Kashi Abhyankar, Daniel Grossman

Mathematical Sciences Technical Reports (MSTR)

Let G be a finite group of order n2. A perfect square root of G is a subset X of G such that |X| = n and X2 = G. Neither generalized dihedral groups nor groups of nilpotency class two have perfect square roots.

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Letter From The Editor, Issue 9, 1994, Alvin White Feb 1994

Letter From The Editor, Issue 9, 1994, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.

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Writing Mathematics, E. G. Bernard Feb 1994

Writing Mathematics, E. G. Bernard

Humanistic Mathematics Network Journal

No abstract provided.

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Letter To The Editor, Ken Ross Feb 1994

Letter To The Editor, Ken Ross

Humanistic Mathematics Network Journal

No abstract provided.

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The Language Of Mathematics: A Quantitative Course For A General Audience, Stephanie F. Singer Feb 1994

The Language Of Mathematics: A Quantitative Course For A General Audience, Stephanie F. Singer

Humanistic Mathematics Network Journal

No abstract provided.

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Mathematics And The Arts: Taking Their Resemblances Seriously, Frederick Reiner Feb 1994

Mathematics And The Arts: Taking Their Resemblances Seriously, Frederick Reiner

Humanistic Mathematics Network Journal

No abstract provided.

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Students' Understanding Of Functions In Calculus Courses, G. S. Monk Feb 1994

Students' Understanding Of Functions In Calculus Courses, G. S. Monk

Humanistic Mathematics Network Journal

No abstract provided.

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Poems, Lee Goldstein Feb 1994

Poems, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.

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Back Matter, Issue 9, 1994 Feb 1994

Back Matter, Issue 9, 1994

Humanistic Mathematics Network Journal

No abstract provided.

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Philosophy Of Mathematics, Mathematics Education, And Philosophy Of Mathematics Education, Yuxin Zheng Feb 1994

Philosophy Of Mathematics, Mathematics Education, And Philosophy Of Mathematics Education, Yuxin Zheng

Humanistic Mathematics Network Journal

No abstract provided.

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Mathematics For Math Majors: Loss Of Self-Esteem, Chun-Ip Fung, Man-Keung Siu Feb 1994

Mathematics For Math Majors: Loss Of Self-Esteem, Chun-Ip Fung, Man-Keung Siu

Humanistic Mathematics Network Journal

No abstract provided.

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Space Venture, Edward E. Chipman Feb 1994

Space Venture, Edward E. Chipman

Humanistic Mathematics Network Journal

No abstract provided.

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Complete Issue 9, 1994 Feb 1994

Complete Issue 9, 1994

Humanistic Mathematics Network Journal

No abstract provided.

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Composite Knots In The Figure-8 Knot Complement Can Have Any Number Of Prime Factors, Michael C. Sullivan Feb 1994

Composite Knots In The Figure-8 Knot Complement Can Have Any Number Of Prime Factors, Michael C. Sullivan

Articles and Preprints

We study an Anosov flow Фt in S3 – {figure-8 knots}. Birman and Williams conjectured that the knot types of the periodic orbits of this flow could have at most two prime factors. Below, we give a geometric method for constructing knots in this flow with any number of prime factors.

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Uniqueness Of Stable And Unstable Positive Solutions For Semipositone Problems, Alfonso Castro, Sudhasree Gadam Feb 1994

Uniqueness Of Stable And Unstable Positive Solutions For Semipositone Problems, Alfonso Castro, Sudhasree Gadam

All HMC Faculty Publications and Research

Abstract not included in this article.

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Optical Hamiltonians And Symplectic Twist Maps, Christophe Golé Feb 1994

Optical Hamiltonians And Symplectic Twist Maps, Christophe Golé

Mathematics Sciences: Faculty Publications

This paper concentrates on optical Hamiltonian systems of T*Tn, i.e., those for which Hpp is a positive definite matrix, and their relationship with symplectic twist maps. We present theorems of decomposition by symplectic twist maps and existence of periodic orbits for these systems. The novelty of these results resides in the fact that no explicit asymptotic condition is imposed on the system.

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An Involutive System And Integrable C. Neumann System Associated With The Modified Korteweg-De Vries Hierarchy, Zhijun Qiao Feb 1994

An Involutive System And Integrable C. Neumann System Associated With The Modified Korteweg-De Vries Hierarchy, Zhijun Qiao

School of Mathematical and Statistical Sciences Faculty Publications and Presentations

In this article, a system of finite-dimensional involutive functions is presented and proven to be integrable in the Liouville sense. By using the nonlinearization method, the C. Neumann system associated with the modified Korteweg-de Vries (mKdV) hierarchy is obtained. Thus, the C. Neumann system is shown to be completely integrable via a gauge transformation between it and an integrable Hamiltonian system. Finally, the solution of a stationary mKdV equation and the involutive solutions of the mKdV hierarchy are secured. As two examples, the involutive solutions are given for the mKdV equation: u,+ ;uXXX- $u2u,=0 and the 5th mKdV equation v,- …

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Gravity And Electromagnetism In Noncommutative Geometry, Giovanni Landi, Nguyen Ai Viet, Kameshwar C. Wali Jan 1994

Gravity And Electromagnetism In Noncommutative Geometry, Giovanni Landi, Nguyen Ai Viet, Kameshwar C. Wali

Physics - All Scholarship

We present a unified description of gravity and electromagnetism in the framework of a Z 2 non-commutative differential calculus. It can be considered as a “discrete version” of Kaluza-Klein theory, where the fifth continuous dimension is replaced by two discrete points. We derive an action which coincides with the dimensionally reduced one of the ordinary Kaluza-Klein theory.

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Group Cohomology, Modular Theory And Space-Time Symmetries, R. Brunetti, D. Guido, R. Longo Jan 1994

Group Cohomology, Modular Theory And Space-Time Symmetries, R. Brunetti, D. Guido, R. Longo

Physics - All Scholarship

The Bisognano-Wichmann property on the geometric behavior of the modular group of the von Neumann algebras of local observables associated to wedge regions in Quantum Field Theory is shown to provide an intrinsic sufficient criterion for the existence of a covariant action of the (universal covering of) the Poincar'e group. In particular this gives, together with our previous results, an intrinsic characterization of positive-energy conformal pre-cosheaves of von Neumann algebras. To this end we adapt to our use Moore theory of central extensions of locally compact groups by polish groups, selecting and making an analysis of a wider class of …

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The Splitting Theorem For Orbifolds, Joseph Borzellino, Shun-Hui Zhu Jan 1994

The Splitting Theorem For Orbifolds, Joseph Borzellino, Shun-Hui Zhu

Mathematics

In this paper we wish to examine a generalization of the splitting theorem of Cheeger–Gromoll [CG] to Riemannian orbifolds. Roughly speaking, a Riemannian orbifold is a metric space locally modelled on quotients of Rie- mannian manifolds by finite groups of isometries. The term orbifold was coined by W. Thurston [T] sometime around the year 1976–77. The term is meant to suggest the orbit space of a group action on a manifold. A similar concept was introduced by I. Satake in 1956, where he used the term V–manifold (See [S1]). The “V” was meant to suggest a cone–like singularity. Since then, …

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Prediction Of The Stochastic Behavior Of Nonlinear Systems By Deterministic Models As A Classical Time-Passage Probabilistic Problem, L. M. Ivanov, A. D. Kirwan Jr., O. V. Melnichenko Jan 1994

Prediction Of The Stochastic Behavior Of Nonlinear Systems By Deterministic Models As A Classical Time-Passage Probabilistic Problem, L. M. Ivanov, A. D. Kirwan Jr., O. V. Melnichenko

CCPO Publications

Assuming that the behaviour of a nonlinear stochastic system can be described by a Markovian diffusion approximation and that the evolution equations can be reduced to a system of ordinary differential equations, a method for the calculation of prediction time is developed. In this approach, the prediction time depends upon the accuracy of prediction, the intensity of turbulence, the accuracy of the initial conditions, the physics contained in the mathematical model, the measurement errors, and the number of prediction variables. A numerical application to zonal channel flow illustrates the theory. Some possible generalizations of the theory are also discussed.

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Injective Endomorphisms Of 풢X-Normal Semigroups: Finite Defects., Inessa Levi Jan 1994

Injective Endomorphisms Of 풢X-Normal Semigroups: Finite Defects., Inessa Levi

Faculty Bibliography

A semigroup of transfonnations of an infinite set X is called ^'x-normal if S is invariant under conjugations by permutations of X. In this paper we describe injective endomorphisms of & x -normal semigroups of total one-to-one transformations / such that the range of / has a finite non-empty complement in X.

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A Qualitative Analysis Of Differential Equations Of Population Dynamics, Kevin Brenner Jan 1994

A Qualitative Analysis Of Differential Equations Of Population Dynamics, Kevin Brenner

Honors Theses, 1963-2015

An exploration of systems of equations modeling closed hypothetical ecosystems. Models are formed from biological assumptions about population. Models are constructed by combining or modifying simpler systems. The simple models used in constructing systems are the logistic, competition, and Lotka-Volterra models. Eigenvalues and eigenvectors are used to prove some results about the equilibria of the systems. Geometric perspectives of the systems are used to develop the intuitive approach of the work. Examples of graphed systems are included. Partial results are proven. Conjectures are formed. Difficulties in the work are described and suggestions for further work are given.

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Projective Plane Embeddings Of Polyhedral Pinched Maps, Adrian Riskin Jan 1994

Projective Plane Embeddings Of Polyhedral Pinched Maps, Adrian Riskin

Mathematics

We give various conditions on pinched-torus polyhedral maps which are necessary for their graphs to be embeddable in the projective plane. Our other main result is that even if the graph of a polyhedral map in the pinched torus is embeddable in a projective plane, the map induced by the embedding cannot be polyhedral, but must have all faces bounded by cycles. Finally, we give a class of examples of graphs which have polyhedral embeddings on the pinched torus and also on orientable surfaces of arbitrary high genus.

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Finite Groups Can Be Arbitrarily Hamiltonian, Stephen Ahearn, Mark Huber Jan 1994

Finite Groups Can Be Arbitrarily Hamiltonian, Stephen Ahearn, Mark Huber

Mathematical Sciences Technical Reports (MSTR)

Let r be a rational in (0,1]. There exists a finite group G which is the direct product of at most four metacyclic groups and whose proportion of normal subgroups is r. An analogous result holds for three other measures of "Hamiltonianess".

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Elimination Of Supply Harmonics: An Evolution Of Current Compensation And Active Filtering Methods, Stephen L. Clark, P. Famouri, W. L. Cooley Jan 1994

Elimination Of Supply Harmonics: An Evolution Of Current Compensation And Active Filtering Methods, Stephen L. Clark, P. Famouri, W. L. Cooley

Mathematics and Statistics Faculty Research & Creative Works

The price of the extensive use of power electronic devices is becoming clear: increasing harmonic "pollution." This survey takes a brief look at background information related to harmonics, including their sources, effects, and characteristics. Then, the evolution of the harmonics elimination approaches of current compensation and active filtering, which are becoming more feasible due to research and technological improvements, are discussed in order to give some insight into the directions that research is taking.

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Regularity Of The Free-Boundary In Singular Stochastic Control, S. A. Williams, P. L. Chow, J. L. Menaldi Jan 1994

Regularity Of The Free-Boundary In Singular Stochastic Control, S. A. Williams, P. L. Chow, J. L. Menaldi

Mathematics Faculty Research Publications

No abstract provided.

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Some Spectral Properties Of Hermitian Toeplitz Matrices, William Trench Jan 1994

Some Spectral Properties Of Hermitian Toeplitz Matrices, William Trench

William F. Trench

No abstract provided.

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