Analysis Commons^™

Constraints Posed By Inadequate Data Supply To Planning And Evaluation Of Services In Nigeria., M. O Ojo Dr

Bullion

The paper discusses the importance of accurate, timely and adequate data in national planning and economic development of Nigeria.

Regularizing Effect For Integro-Differential Parabolic Equations, Maria Giovanna Garroni, José Luis Menaldi

Mathematics Faculty Research Publications

No abstract provided.

Generalized Lame-Clapeyron Solution For A One-Phase Source Stefan Problem, José Luis Menaldi, Domingo Alberto Tarzia

Mathematics Faculty Research Publications

In this paper we obtain a generalized Lamé-Clapeyron solution for a one-phase Stefan problem with a particular type of sources. Necessary and sufficient conditions are given in order to characterize the source term which provides a unique solution. Some estimates on the free boundary and the temperature are presented. In particular, asymptotic expansions are given for small Stefan number and source.

Special Review: Evaluation Of The Exploratory Factor Analysis Programs Provided In Spssx And Spss/Pc+, Gregory J. Boyle

Gregory J. Boyle

Given the frequent use of SPSSX and SPSS/PC+ exploratory factor analysis in analyzing multivariate psychometric data, it is germane to examine the limitations of the Factor program as it currently exists. Over recent years, the routines in these packages generally have been developed and expanded considerably. In particular, the exploratory factor analysis procedures have been greatly extended and enhanced with inclusion of additional estimation methods such as minimum likelihood, unweighted least squares, generalized least squares, and so on. Like­ wise, availability of a Scree plot of the latent roots against factor number has facilitated determination of the appropriate factor-extraction number. …

Analysis Of Factors Contributing To Environmental Activism: A Case Study Of Beach Clean-Up Participants, Elizabeth Ann Fuller

Theses and Major Papers

This study was initiated to investigate factors which contribute to environmental activism. Towards this end, three hypotheses were investigated. First, it was hypothesized that beach clean-up participants would harbor pro-environmental attitudes. Second, it was hypothesized that participants would be relatively young, politically liberal, well-educated, and wealthy. Finally, it was hypothesized that particular types of social structure would influence a person's decision to participate in a beach clean-up. Specifically, it was hypothesized that participants at each clean-up location would be clique members and/or would be structurally equivalent. Surprising, it was revealed that there was virtually no difference in attitude between the …

An Elementary Approach To Some Analytic Asymptotics, Nicholas Pippenger

All HMC Faculty Publications and Research

Fredman and Knuth have treated certain recurrences, such as $M(0) = 1$ and\[M(n + 1) = \mathop {\min }\limits_{0 \leqslant k \leqslant n} (\alpha M(k) + \beta M(n - k)),\] where $\min (\alpha ,\beta ) > 1$, by means of auxiliary recurrences such as \[h(x) = \left\{ {\begin{array}{*{20}c} {0\qquad {\text{if}}0 \leqslant x < 1,} \\ {1 + h({x / \alpha }) + h({x / \beta }){\text{ if}}1 \leq x < \infty .} \\ \end{array} } \right.\] The asymptotic behavior of $h(x)$ as $x \to \infty $ with $\alpha $ and $\beta $ fixed depends on whether ${{\log \alpha } / {\log \alpha }}$ is rational or irrational.

The solution of Fredman and Knuth used analytic methods in both cases, and used in particular the Wiener–Ikehara Tauberian theorem in the irrational case. The author shows that a more explicit solution to these recurrences can be obtained by entirely elementary methods, based on a geometric interpretation of $h(x)$ …

Interlacement Of The Even And Odd Spectra Of Real Symmetric Toeplitz Matrices, William F. Trench

William F. Trench

No abstract provided.

Asymptotic Behavior Of Solutions Of Poincar'e Difference Equations, William F. Trench

William F. Trench

No abstract provided.