Physical Sciences and Mathematics Commons^™

Morphological And Genetic Composition Of The Gonds Of Central India: A Statistical Study., Urmila Pingle Dr.

Doctoral Theses

The racial compositi on of the people of India 1s atill a riddle and one which isg etting increasingly difficult to eolve as over a period of time it han been fast chnnging due to absorption of mrious pepulntions into the Hindu onste- fold ant the finsion and funion within the casto syaten na n product of occupntionnl or cultural chnnge in the wny of life. Admixture over a long peri od of time bas produc ed a wide diversity in norphology (ns well as skin colour) ef Indinn people. The wavas of migrations of people from the Eu rasian …

The Alfsen-Errors Structure Topology In The Theory Of Complex L1-Preduals., T. S.S.R.K. Rao Dr.

Doctoral Theses

A complex Banach space X is said to be an L1-predual if X* is isometric to L1() for some non-negative measure Well known examples of L1-preduals include the space C(X) of complex-valued continuous functions on a compact Hausdorff space and the abstract M-spaces of Kakutani. In [19], Grothendieck introduced a class of L'-preduals, now known as G-spaces, and conjectured that those are all the L'-preduals. In his 1964 memoir [35], Lândenstrauss settled this conjecture by exhibiting a wide class of Banach spaces, other than G-spaces, which are L1-preduals. He also gave several characterizations and interest- ing properties of L1-preduals in …

Structure And Inter-Relations Of The Land, Labour, Credit And Product Markets Of South Kanara: A Study Of A Backward Agricultural Economy., K. Nagaraj Dr.

Doctoral Theses

South Kanara is a predominantly rural and agricultural district in the state of Karnataka in South India, given largely to the cultivation of a single subsistence crop (paddy) which accounts for nearly 70 per cent of its gross cropped area. The agricultural technology is Primitive, with little use of 'modern' inputs like chemical fertilisers, HYV seeds etc. There are no large scale or modern industries in the district. The little manufacturing activities that exist are mostly of the primary processing type, carried out in small establishments and households. There is however, rather high incidence of the so-called 'tertiary' activities like …

Estimation Of A Common Mean And Recovery Of Inter Block Information., Chunni Gopal Bhattacharya Dr.

Doctoral Theses

The problem of conbining several estimates of an unknown quentity to obtain an eetimete of Improved precieion arises in meny spheres of application of etatistics, To begin with let us consider the following simple inadelt1 =+4, 1- 1,...,kwhere u ie an unknown quantity and e, e ere errora with a common menn zero end a common veriance o. If we make no further asoumption about the distribution of e,s, the GAuas-Markoff theorem tells us that among sll unbtaved lineer combinationa ofr ya, the least squAre estimator i * Iy /k of u hes the minimum variance. If ,s are jointly …

General Uniqueness Criteria For Ordinary Differential Equations, V. Lakshmikantham, Mansour Samimi

Mathematics Technical Papers

This paper generalizes various uniqueness results and offers very general uniqueness criteria which include different types of results considered so far.

A New Computer-Oriented Approach To Molecular Mechanics, Donald Greenspan

Mathematics Technical Papers

A new dynamical theory for atomic and molecular dynamics is formulated and discussed. The associated nonlinear differential system is derived from general atomic and molecular stability properties and from aspects of modern particle theory, especially as it relates to the structure of the electron. Computer experiments are described for developing a new model of the water molecule.

Convexities, Jimmie D. Lawson

Seminar on Continuity in Semilattices

No abstract provided.

The Lebesgue Integral As The Almost Sure Limit Of Random Riemann Sums, John C. Keffer, Caslav V. Stanojevic

Mathematics and Statistics Faculty Research & Creative Works

A method is given for generating random intermediate points for a sequence of partitions. For the corresponding random Riemann sums it is shown that they converge almost surely to the Lebesgue integral. © 1982 American Mathematical Society.

Tauberian Conditions For V-Convergence Of Fourier Series, Caslav V. Stanojevic

Mathematics and Statistics Faculty Research & Creative Works

It is proved that Fourier series with asymptotically even coefficients and satisfying (formula present here), for some 1 < p < 2, con­verge in L1-norm if and only if (formula present here), where En(t) =Σk=0neiktRecent results of Stanojevic [1], Bojanic and Stanojevic [2], and Goldberg and Stanojevic [3] are special cases of some corollaries to the main theorem. © 1982 American Mathematical Society.

A Note On Fixed-Point Theorems, Troy L. Hicks, M. D. Humphries

Mathematics and Statistics Faculty Research & Creative Works

In an earlier note, S. P. Singh gave an extension of a theorem of Brosowski in a normed linear space setting. Variants of this theorem are considered in the context of strictly convex, reflexive, and inner product spaces. © 1982.

Conjugate Type Boundary Value Problems For Functional-Differential Equations, P. W. Eloe, L. J. Grimm

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

A Class Of L¹-Convergence, R. Bojan1c, C. V. Stanojevic

Mathematics and Statistics Faculty Research & Creative Works

It is proved that if the Fourier coefficients (an) of /E L!(0, ir) satisfy (*)L" kp\Aan\p = o(l), for some 1

< 2, then \\sn- f\\ = o(l), if and only if a" lg n * o(l). For cosine trigonometric series with coefficients of bounded variation and satisfying (*) it is proved that a necessary and sufficient condition for the series to be a Fourier series is (an) E 6, where G is the Garrett-Stanojevic [4] class. © 1982 American Mathematical Society.

Equidistance Relations: A New Bridge Between Geometric And Algebraic Structures, Thomas Q. Sibley

Mathematics Faculty Publications

This paper investigates the transformations of certain geometric structures into algebraic ones and conversely. The algebraic notion of absolute value corresponds with the geometric one of equidistance. Further, latin squares with absolute values correspond to regular equidistance relations, "near groups" yield 1 point homogenous equidistance relations, and "near commutative groups" yield 2-point homogenous equidistance relations.

Ultrafilter Limits And Finitely Additive Probability, Thomas Q. Sibley

Mathematics Faculty Publications

Ultrafilter limits provide the natural convergence notion for finitely additive probability. The finitely additive infinitely divisible laws are closed under ultrafilter limits. The characteristic function of any convolution of finitely additive probability measures is the product of their characteristic functions.

Two Generalizations Of The Adams Spectral Sequence, Robert R. Bruner

Mathematics Faculty Research Publications

No abstract provided.

Nonmeasurable Sets And Pairs Of Transfinite Sequences, Branko Ćurgus, Harry I. Miller

Mathematics Faculty Publications

Many proofs of the fact that there exist Lebesgue nonmeasurable subsets of the real line are known. The oldest proof of this result is due to Vitali [4]. The cosets (under addition) of Q, the set of rational numbers, constitute a partition of the line into an uncountable family of disjoint sets, each congruent to Q under translation, Vitali's proof shows that V is nonmeasurable, if V is a set having one and only one element in common with each of these cosets.

The Etc And Instantaneous Intensity, Richard C. Heyser

Unpublished Writings

Richard C. Heyser explains how to measure the energy-time response of an acoustic signal by expressing the energy density in a logarithmic form, which he cales the Energy-Time Curve (ETC).

Conjugate Type Boundary Value Problems For Functional-Differential Equations, Paul W. Eloe, Louis J. Grimm

Mathematics Faculty Publications

Two-point boundary value problems (BVPs) for delay differential equations have been studied extensively, beginning with the work of G. A. Kamenskiï, S. B. Norkin and others which was motivated by variational problems and problems in oscillation theory. L. J. Grimm and K. Schmitt and Ju. I. Kovac and L. I. Savcenko employed solutions of various differential inequalities for the study of two-point problems with retarded argument. In this paper, we show how a bilateral iteration procedure can be developed to yield existence and inclusion theorems for multipoint boundary value problems of conjugate type for nonlinear functional-differential equations.

Evidence Of Intrinsic Double Acceptor In Gaas, Phil Won Yu, W. C. Mithel, M. G. Mier, S. S. Li, Weizhen Wang

Mathematics and Statistics Faculty Publications

Acceptors present in undoped p‐type conducting GaAs have been studied with photoluminescence, temperature‐dependent Hall measurements, deep level transient spectroscopy, and spark source mass spectrometry. It is shown that p‐type conduction is due to presence of the shallow acceptor C_As and the cation antisite double acceptor Ga_As. The first and second ionization energies determined for Ga_As are 77 and 230 meV from the valence‐band edge.

An Actualistic Semantics For Quantified Modal Logic, Thomas Jager

University Faculty Publications and Creative Works

No abstract provided.

Sums Of Z-Ideals And Semiprime Ideals, Melvin Henriksen, Frank A. Smith

All HMC Faculty Publications and Research

If B is a ring (or module), and K is an ideal (or submodule) of B, let B(K) = {(a,b) є B x B:a-b є K}. The relationship between ideals (or submodules) of B and those of B(K) is examined carefully, and this construction is used to find a lattice-ordered subring of the ring C(R) of all continuous real-valued functions on the real line R with two z-ideals whose sum is not even semiprime.

Results On Periodic Solutions Of Parabolic Equations Suggested By Elliptic Theory, Alfonso Castro, A. C. Lazer

All HMC Faculty Publications and Research

No abstract provided.

Reduction Methods Via Minimax, Alfonso Castro

All HMC Faculty Publications and Research

Lecture notes in mathematics originally published in Differential Equations book series.

On Multiple Solutions Of Nonlinear Elliptic Equations With Odd Nonlinearities, Alfonso Castro, J. V. A. Gonçalves

All HMC Faculty Publications and Research

In this paper we stablish results on multiplicity of solutions for the boundary value problem where a e IR and f: R - IR is an odd continuous function.

Rearrangeable Networks With Limited Depth, Nicholas Pippenger, Andrew C.-C. Yao

All HMC Faculty Publications and Research

Rearrangeable networks are switching systems capable of establishing simultaneous independent communication paths in accordance with any one-to-one correspondence between their n inputs and n outputs. Classical results show that Ω( n log n ) switches are necessary and that O( n log n ) switches are sufficient for such networks. We are interested in the minimum possible number of switches in rearrangeable networks in which the depth (the length of the longest path from an input to an output) is at most k, where k is fixed as n increases. We show that Ω( n^{1 + 1/k} ) switches …

Some Properties Of Positive Derivations On F-Rings, Melvin Henriksen, Frank A. Smith

All HMC Faculty Publications and Research

Throughout A denotes an f-ring; that is, a lattice-ordered ring that is a subdirect union of totally ordered rings. We let D(A) denote the set of derivations D: A --> A such that a ≥ 0 implies Da ≥ 0, and we call such derivations positive. In [CDK], P. Coleville, G. Davis, and K. Keimel initiated a study of positive derivations on f-rings. Their main results are (i) D ε D(A) and A archimedean imply D = 0, and (ii) if A has an identity element 1 and a is the supremum of a set …

Richard Whately And The Revival Of Syllogistic Logic In Great Britain In The Early Nineteenth Century, Calvin Jongsma

Faculty Work Comprehensive List

Richard Whately's Elements of Logic in 1826 marked the end of a dismal era in the history of British logic. His work sparked a revival in Britain, culminating in several distinct developments, none of which, however, Whately contributed to. Yet his work laid the foundation for them by providing a spirited defense of the syllogism and of deductive reasoning generally.

The first chapter begins with a systematic synopsis of the criticisms and responses which were made from the seventeenth to the early nineteenth century. These related primarily to the nature of logic and the epistemic utility of syllogistic reasoning, but …

A Multiobjective Branch-And-Bound Method For Planning Wastewater And Residual Management Systems, Masahisa Nakamura, Suraj M. Alexander, James M. Riley, Robert Simon, Susan Meyer, Kenneth F. Bloemer

KWRRI Research Reports

A multiobjective branch-and-bound algorithm is proposed for use in analysing multiobjective fixed-charge network-flow problems which are found commonly in water resources planning situations. Also proposed is a multiobjective imputed value analysis which makes use of the branch-and-bound tree structure and allows the comparison of the importance of facilities in the network as represented by individual arcs or sets of arcs. The mathematical formulation and the analysis procedure of the method are described, and the potential usefulness of the method is demonstrated using two hypothetical example problems dealing with regional wastewater treatment and residual management systems. A FORTRAN program for implementing …

Shape Parameters For The Parametric Cubic Curve, J. A. Conly, R. L. Tennison

Mathematics Technical Papers

No abstract provided.

A Classification Of Certain Graphs With Minimal Imperfection Properties, S. H. Whitesides

Dartmouth Scholarship

The family of (α, ω) graphs are of interest for several reasons. For example, any minimal counter-example to Berge's Strong Perfect Graph Conjecture belongs to this family. This paper accounts for all (4, 3) graphs. One of these is not obtainable by existing techniques for generating (α + 1, ω) graphs from (α, ω) graphs.