Physical Sciences and Mathematics Commons^™

Scs 24: An Editorial, Karl Heinrich Hofmann, Klaus Keimel

Seminar on Continuity in Semilattices

No abstract provided.

Scs 23: Non-Continuous Lattices, Jimmie D. Lawson

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 22: Representations Of Colimits In Cl, Part Ii, Gerhard Gierz

Seminar on Continuity in Semilattices

No abstract provided.

Scs 22: Representations Of Colimits In Cl, Part I, Gerhard Gierz

Seminar on Continuity in Semilattices

No abstract provided.

Scs 21: ≤ (N), James H. Carruth, Charles E. Clark, E. L. Evans, James W. Lea, R. L. Wilson

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 20: More On The Coproduct. Errata And Addenda, Karl Heinrich Hofmann

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Letter Dated October 13, 1976 To Jimmie D. Lawson, Karl Heinrich Hofmann

Seminar on Continuity in Semilattices

Accompanied by October 5, 1976 memo by Gerhard Gierz and Klaus Keimel.

An Error In The Copower Considerations, Gerhard Gierz, Klaus Keimel

Seminar on Continuity in Semilattices

Accompanies October 13, 1976 letter from Karl Heinrich Hofmann to Jimmie D. Lawson.

Scs 19: Several Remarks, Klaus Keimel, Michael Mislove

Seminar on Continuity in Semilattices

Contents:

1. The closed subsemilattices of a continuous lattice form a continuous lattice
2. When do the prime elements of a distributive lattice form a closed subset
3. Remarks on lower semicontinuous function spaces
4. Remarks on the continuity of the congruence lattice of the continuous lattice

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 18: Continuous Lattices And Universal Algebra, Alan Day

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 17: The Space Of Lower Semicontinuous Functions Into A Cl-Object, Applications (Part I): Copowers In Cl, Karl Heinrich Hofmann

Seminar on Continuity in Semilattices

Correction to scan at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 16: The Random Unit Interval (Another Example Of A Cl-Object), Karl Heinrich Hofmann, John R. Liukkonen

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Undecidable Properties Of Finite Sets Of Equations, George F. Mcnulty

Faculty Publications

No abstract provided.

Mathematical Modeling In Medicine, Jerome Eisenfeld

Mathematics Technical Papers

Although the involvement of mathematics in medicine is still relatively recent, the discipline has become attractive to the mathematics community, and in fact, medically oriented articles presently appear in several mathematics journals. We call the reader's attention to the following journals: Bulletin of Mathematical Biology (continues The Bulletin of Mathematical Biophysics), Biomathematics (also called Revue de Bio-Mathematique), SIAM Journal in Applied Mathematics (a new series devoted to biomathematics will appear shortly), Math Biosciences, Biomedical Engineering, IEEE Transactions in Biomedical Engineering, Journal of Biomechanics, Biological Cybernetics, Computers in Biology and Medicine, Journal of Theoretical Biology, and Biometrics. Each year there are …

Application Of Theorems Of Schur And Albert, Thomas L. Markham

Faculty Publications

No abstract provided.

Scs 15: Continuous Lattices And Universal Algebra, Dana S. Scott

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 14: Scs Memo Of Lawson Dated 7-12-76, Michael Mislove

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 13: Complements To Relations With The Interpolation Properties And Continuous Lattices, Klaus Keimel

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 11: Errata And Corrigenda To Memo "Commentary On Scott's Function Spaces", Karl Heinrich Hofmann, Michael Mislove

Seminar on Continuity in Semilattices

Corrections to version dated 7/20/76 at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Version dated 7/20/76 is in supplemental files.

Scs 12: Relations With The Interpolation Property And Continuous Lattices, Gerhard Gierz, Karl Heinrich Hofmann, Klaus Keimel, Michael Mislove

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

K₁ Of The Compact Operators Is Zero, L. G. Brown, Claude Schochet

Mathematics Faculty Research Publications

We prove that K₁ of the compact operators is zero. This theorem has the following operator-theoretic formulation: any invertible operator of the form (identity) + (compact) is the product of (at most eight) multiplicative commutators (A_jB_jA_j⁻¹B_j⁻¹)^±1, where each B_j is of the form (identity) + (compact). The proof uses results of L. G. Brown, R. G. Douglas, and P. A. Fillmore on essentially normal operators and a theorem of A. Brown and C. Pearcy on multiplicative …

The Port Of Providence: Perspectives On Development, Jerome F. Mcgourthy

Marine Affairs Theses and Major Papers

The paper identified environmental, technological and socio-political factors which have contributed to the demise of the Providence River Port as a regional dry cargo distribution center and examines plans and policies contemplated by local government and business interests to counteract the Port's decline.

Cone-Valued Lyapunov Functions, S. Leela, V. Lakshmikantham

Mathematics Technical Papers

It is very well known that employing a single Lyapunov function and the theory of scalar differential inequality offers a useful mechanism to study a variety of qualitative problems of differential equations in a unified way [10]. Nevertheless, when using this powerful technique for concrete problems, the main difficulty we face is the lack of general method of constructing a Lyapunov function. This naturally beads to the development of the method of vector Lyapunov functions which utilizes several Lyapunov-like functions and the theory of vector differential inequalities in a fruitful manner [5,8-12]. This method offers a more flexible mechanism to …

A Monotone Method For Infinite System Of Nonlinear Boundary Value Problems, V. Lakshmikantham, Jagdish Chandra, S. Leela

Mathematics Technical Papers

Monotone iterative methods have been successfully used to generate improvable two-sided point-wise bounds on solutions of nonlinear boundary value problems for both ordinary and partial differential equations. While such procedures take a simple form when the nonlinearities are independent of gradient terms [6,9], the extension of such techniques to fully nonlinear problems has been quite formidable. In the case of scalar ordinary differential equations of the type (1.1) [see PDF for equation] such results have been obtained making use of either a linear maximum principle (3,1] or a nonlinear maximum principle [4]. In either case an essential use is made …

Minimal And Maximal Solutions Of Nonlinear Boundary Value Problems, Jagdish Chandra, Stephen R. Bernfeld

Mathematics Technical Papers

This paper is concerned with the construction of the minimal and the maximal solutions of the nonlinear boundary value problem [see PDF for equation] under tether mild assumptions of f. in particular, no assumption of monotonicity is made on [see PDF for equation] either in u or [see PDF for equation].

A T-Matrix Analysis For The Scattering Cross Section, Michael J. Linville

Masters Theses

No abstract provided.

A Study Of Asymptotic Solutions Of Second Order Linear Differential Equations, Toshitake Okada

Masters Theses

No abstract provided.

Cayley Graph Imbeddings And The Associated Block Designs, Brian L. Garman

Dissertations

No abstract provided.

On Ramsey Numbers Defined By Factorizations Of Regular Complete Multi-Partite Graphs, James M. Benedict

Dissertations

No abstract provided.

An Abstract Matrix Model: The Column Model, Tomas Eufracio Salazar

Mathematics & Statistics ETDs

In this dissertation we introduce an abstract model for matrix theory, The Column Model. We investigate some properties of the special class of partially ordered linear algebras that satisfy the conditions of the Model. We use the order structure of the Model to obtain some results on: idempotents in the Model, nonnegative elements of the Model having nonnegative generalized inverses, factor theorems in the Model and concepts in the Model that are related to the usual notion of eigenvalues of an m-by-m matrix. Since the set of m-by-m matrices belongs to the special class of partially ordered linear algebras satisfying …