Physical Sciences and Mathematics Commons^™

Zeta Matrices Of Elliptic Curves, Goro Kato, Saul Lubkin

Mathematics

Let O=lim_nZ/pⁿZ, , let A=O[g₂,g₃] Δ, where g₂ and g₃ are coefficients of the elliptic curve: Y² = 4X³ − g₂X − g₃ over a finite field and Δ = g₂³ − 27g₃² and let B=A[X,Y]/(Y²-4X³+g₂X+g₃). Then the p-adic cohomology theory will be applied to compute explicitly the zeta matrices of the elliptic curves, induced by the pth power map on the free AzQ -module H1(X, AzQ). Main results are; Theorem 1.1: X …

Scs 75: Distributive Semilattices, Heyting Algebras, And V-Homomorphisms, Hans Dobbertin

Seminar on Continuity in Semilattices

Source: University archive of the Technische Universität Darmstadt.

Scs 74: Distributive Semilattices, Hans Dobbertin

Seminar on Continuity in Semilattices

No abstract provided.

India's External Debts: Growth, Determinants And Impact, Sanjib Pohit Dr.

Doctoral Theses

In the post-World War Il era, the world saw the birth of many new nations. Primarily, they were the colonies of the industrialized countries and were developed only to supply raw materials to the colonizing country. Rightly, attention was focused to develop the economies of these countries. The ear- lier studies of the economic problems of developing countries has focused on a lack of capital, both physical and human. Rapid progress in solving these problems is scen to be hindered by a number of constrainte-domestic savings, foreign exchange and human skills. In this setup, external finance can further growth by …

Ideals And Centralizing Mappings In Prime Rings, Joseph H. Mayne

Mathematics and Statistics: Faculty Publications and Other Works

Let H be a prime ring and U be a nonzero ideal of R. If T is a nontrivial automorphism or derivation of Ft such that uuT — uTu is in the center of R and uT is in U for every u in U, then R is commutative. If R does not have characteristic equal to two, then U need only be a nonzero Jordan ideal.

Scs 73: Meet-Continuous Lattices In Which Meet Is Not Continuous, Marcel Erné, Hartmut Gatzke

Seminar on Continuity in Semilattices

Source: University archive of the Technische Universität Darmstadt.

Ua66/16/2 Ogden Instructional Computing Newsletter, Vol. 3, No. 1, Wku Mathematics & Computer Science

WKU Archives Records

Newsletter created by the Ogden Computer Laboratory to promote services, courses, hardware, software and student activities.

Scs 72: Algebraic Posets And Compactly Generated Posets, Marcel Erné

Seminar on Continuity in Semilattices

Source: University archive of the Technische Universität Darmstadt.

Conditional Generalizations Of Strong Laws Which Conclude The Partial Sums Converge Almost Surely, Theodore P. Hill

Research Scholars in Residence

Suppose that for every independent sequence of random variables satisfying some hypothesis condition H, it follows that the partial sums converge almost surely. Then it is shown that for every arbitrarily-dependent sequence of random variables, the partial sums converge almost surely on the event where the conditional distributions (given the past) satisfy precisely the same condition H. Thus many strong laws for independent sequences may be immediately generalized into conditional results for arbitrarily-dependent sequences.

Random Factors And Isofactors In Graphs And Digraphs, John Frederick Fink

Dissertations

A factor is a spanning sub(di)graph of a (di)graph. Factors that are generated by an algorithm that incorporates an element of randomness are often called random factors. An isofactor is essentially a factor G that is either empty or for which there exists a connected regular (di)graph H having a nontrivial G-factorization. Several topics, each concerning random factors or isofactors, are investigated in this dissertation. An historical introduction to these topics is given in Chapter I.

In Chapter II we define an antipath and say that a digraph is randomly antitraceable if every nonspanning antipath can be extended (at its …

Hardy And Lipschitz Spaces On Unit Spheres, Leonardo Colzani

Arts & Sciences Electronic Theses and Dissertations

The main objective of this work is to develop a theory of Hardy spaces on the surface (SIGMA)(,N) of the unit ball B(,N+1) in (//R)('N+1), analogous to the maximal and atomic theory of Hardy spaces on (//R)('N), and to characterize the duals of these spaces as spaces of Lipschitz functions.

Scs 71: Two Remarkable Continuous Posets And An Appendix To "The Cl-Compactification And The Injective Hull Of A Continuous Poset", Rudolf-Eberhard Hoffmann

Seminar on Continuity in Semilattices

No abstract provided.

Scs 70: Freedom For Completely Distributive Lattices (Over Continuous Posets), Marcel Erné

Seminar on Continuity in Semilattices

No abstract provided.

Scs 69: Order Generation And Distributive Laws In Complete Lattices, Marcel Erné

Seminar on Continuity in Semilattices

No abstract provided.

Scs 68: A Remark On The Complete Distributivity Of Algebraic Lattices, Karl Heinrich Hofmann

Seminar on Continuity in Semilattices

No abstract provided.

Scs 67: A Strict Extension Of Previous Results On Essential Extensions, Jimmie D. Lawson

Seminar on Continuity in Semilattices

No abstract provided.

Ua66/16/2 Newsletter, Wku Mathematics & Computer Science

WKU Archives Records

Newsletter created by and about the WKU Mathematics department.

Scs 65: Bernhardina (The Essential Hull Revisited), Karl Heinrich Hofmann

Seminar on Continuity in Semilattices

No abstract provided.

Scs 64: A Continuous Poset Whose Compactification Is Not A Continuous Poset. The Square Is The Injective Hull Of A Discontinuous Cl-Compact Poset, Karl Heinrich Hofmann, Michael Mislove

Seminar on Continuity in Semilattices

No abstract provided.

Comparisons Of Stop Rule And Supremum Expectations Of I.I.D. Random Variables, Theodore P. Hill, Robert P. Kertz

Research Scholars in Residence

Implicitly defined (and easily approximated) universal constants 1.1 < a_n < 1.6, n = 2,3, ... , are found so that if X₁, X₂, ... are i.i.d. non-negative random variables and if the T_n is the set of stop rules for X₁, ..., X_n, then E (max {X₁, ..., X_n}) ≤ a_nsup {EX_t : t ε T_n}, and the bound a_n is best possible. Similar universal constants 0 < b_n < 1/4 are found so that if the (X_i) are i.i.d. random variables taking values only in …

Numerical Methods (Finite Element) For Time-Dependent Partial Differential Equations, Masaji Watanabe

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This paper surveys reasons why the Ritz method and the Galerkin method are not efficient and why these methods can not be applied directly, for time dependent problems. It also introduces methods that are used for those problems. For a linear boundary value problem defined by a positive definite symmetric (self-adjoint) operator, the existence and the convergence of the Ritz approximation are guaranteed. In non-symmetric case, Lax-Milgram lemma assures the existence and the convergence of the Galerkin approximation for H1/2(Ω)-elliptic operator. Since time-dependent problems are hyperbolic or parabolic, the existence and the convergence of approximations by those methods are not …

The Shape Seeker Algorithm, Ladawn Haws

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This paper gives a brief description of several well known fuzzy objective function clustering algorithms, and discusses the convergence properties of this type of algorithm. The Shape Seeker algorithm, an adaptive norm algorithm, is then described in detail, and convergence established. It is compared to the other algorithms by examining the clusterings it produces on several data sets.

Newsletter, Moorhead State University, Mathematics Department, Moorhead State University, Mathematics Department

Math Department Newsletters

No abstract provided.

Effects Of Programming On Mathematics Achievement, Mary O. Harrison

Retrospective Theses and Dissertations

No abstract provided.

Scs 63: The Fell Compactification, Rudolf-Eberhard Hoffmann

Seminar on Continuity in Semilattices

No abstract provided.

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 …

Economic Regionalization Of India 1960-61 And 1970-71., Rabindranath De Dr.

Doctoral Theses

A massive investment programme has been undertaken in India through the process of planning. But the effects of such investment on economic growth are worked out only at the aggregate level for the country as a whole; its contribution to the growth of the different regions in the country is yet to be adequately understood. Now, for a large country like India with significant regional disparities in the level of living, an essential objective of development policy should be to reduce the existing economic inequality between the regions | in particular, the inequality in the level of living. The priority …

Replacement Strategies For Ageing Assets With Specific Reference To Coconut Plams In Kerala., Chandan Mukherjee Dr.

Doctoral Theses

Produotion assets which deteriorate in performance with time (or age) are required to be replaced. In general, a stream of benefits and costa are associated with every productive asset, be it a machine or a tree. Ugually, in replacement theory, the benefits and costs are taken as given functions of the age of the asset. These functions provide the oriteria for identifying the pÅ‚ysical condition of the asset. In simple replacement models, an asset is replaced by an ider tical one. The objective of a replacement policy is to find a sequence of time pointe (or alternatively, replacement ages) for …

Measurable Sets In Product Spaces And Their Parametrizations., V. V. Srivatsa Dr.

Doctoral Theses

No abstract provided.

On Specification And Statistical Inference In Single Equation Regression Models., Nityananda Sarkar Dr.

Doctoral Theses

This thesis attempta to cansider and provids solutions to viat nay be broadly decribed na Bone problems of speciification and satatistical inforence in single equation lineur regression models. It co sists of three parte, each having several chepters. The firat part in devoted to sme problems connec ted vith the use of the wall-imown Bor-Cox (BC) tranaformation of variablee in single equetion ragreanion nodels. In the other two parts we exanine an autocorrelated linear regreasion nodel from a rather unconventional angle. Precisely, we consider the problema which arise when the error tem in an autocorre lated linear regression nodel is …