Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1982. / MICROFICHE COPY AVAILABLE IN ARCHIVES AND SCIENCE / Bibliography: leaves 89-93. / by Joseph Yukich. / Ph.D.

Yung Po-lam. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2005. / Includes bibliographical references (leaves 62-64). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- The basics of doubling measures --- p.7 / Chapter 2.1 --- Existence of doubling measures --- p.7 / Chapter 2.2 --- More examples of doubling measures --- p.16 / Chapter 3 --- Doubling of self-similar measures --- p.20 / Chapter 3.1 --- Open set condition and doubling --- p.24 / Chapter 3.2 --- Examples of doubling with OSC --- p.31 / Chapter 3.3 --- Bernoulli convolution and golden ratio --- p.41 / Chapter 4 --- Applications of doubling measures --- p.48 / Chapter 4.1 --- Singular integral operators --- p.48 / Chapter 4.2 --- Poincare inequalities and local Sobolev embedding --- p.56 / Chapter 4.3 --- Remarks --- p.60 / Bibliography --- p.62

Bibliography : leaves 115-119 / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / Thesis (Ph.D.)--University of Adelaide, Dept. of Pure Mathematics, 1994

We have derived a new performance measure, product of minors of the Jacobian matrix, that tells how far kinematically redundant manipulators are from singularity. It was demonstrated that previously used performance measures, namely condition number and manipulability measure allowed to change configurations, caused repeatability problems and discontinuity effects. The new measure, on the other hand, assures that the arm solution remains in the same configuration, thus effectively preventing these problems.

The purpose of this study was to investigate population invariance of the true-score linking functions with respect to the ability subgroups (i.e., average-achieving students, low-achieving students, and students with learning disabilities). The mean/mean linking functions for five alternate forms of a curriculum-based math problem solving measure were based on the Rasch model. Most studies of curriculum-based measurement have reported only the reliability and validity of alternate forms of measures. This is necessary but insufficient for establishing alternate forms of curriculum-based measures. It is also necessary to establish equivalency of the forms. The present study was based on data from a previous study that developed equivalent forms of curriculum-based measures using Item Response Theory. The participants in the present study were 1,861 seventh- and eighth-grade students. Equatability indices were used to evaluate population invariance of the Rasch mean/mean linking functions over the ability subgroups. Results indicated that the Rasch mean/mean linking functions were population invariant for the ability subgroups across the five alternate forms. The differences between the linking functions computed on the ability subgroups and the linking function on the whole group were negligible for the five forms. Several implications and recommendations for future studies on population invariance of the linking functions with alternate forms of curriculum-based measures were discussed.

In Canada, many large-scale assessments are administered in English and French. The validity of decisions made from using these assessments critically depends on the meaningfulness and comparability of scores from using different versions of assessments. This research study focused on examining (1) the degree of construct comparability and (2) possible sources of incomparability of the Canadian English and French versions of the programme for international student assessment (PISA), 2003 problem-solving measure (PSM). In this study, statistical and qualitative linguistic reviews were used to examine construct comparability and potential sources of incomparability. These procedures sought to (1) determine the degree of comparability of the measure (2) identify if there are items that function differentially and (3) identify the potential sources of differential item functioning in the two language versions of the measure. Evidence from these procedures was used to determine the comparability of the inferences based on test scores from PISA 2003, PSM. A comparative analysis of the two language versions of the measure indicated that there were some psychometric differences at the scale and item level between the two languages which may jeopardize the comparability of assessment results.

We propose the study of robustness measures for signal detection in non-stationary noise using differential geometric tools in conjunction with empirical distribution analysis. Our approach shows that the gradient can be viewed as a random variable and therefore used to generate sample densities allowing one to draw conclusions regarding the robustness. As an example, one can apply the geometric methodology to the detection of time varying deterministic signals in imperfectly known dependent nonstationary Gaussian noise. We also compare stationary to non-stationary noise and prove that robustness is barely reduced by admitting non-stationarity. In addition, we show that robustness decreases with larger sample sizes, but there is a convergence in this decrease for sample sizes greater than 14. We then move on to compare the effect on robustness for signal detection between non-Gaussian tail effects and residual dependency. The work focuses on robustness as applied to tail effects for the noise distribution, affecting discrete-time detection of signals in independent non-stationary noise. This approach makes use of the extension to the generalized Gaussian case allowing the comparison in robustness between the Gaussian and Laplacian PDF. The obtained results are contrasted with the influence of dependency on robustness for a fixed tail category and draws consequences on residual dependency versus tail uncertainty.

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Innovationsproduktiviteten har blivit allt viktigare i vårt samhälle och ses som en förutsättning för att skapa framgångsrika organisationer. Innovationer springer ur människors kreativitet och initiativförmåga och innebär att omsätta kunskap, kompetens och idéer till praktisk nytta.  Det förefaller som om innovation endast blomstrar under rätt organisatoriska omständigheter. Kärnan i den innovativa organisationen är en kultur som agerar vägvisande med en tro på människan. Nyckeln till innovation blir således organisationers förmåga att förhålla sig till förändring i en ofta kaotisk miljö med människan i centrum. Som ett led i detta arbete behöver organisationer kontinuerligt ta temperaturen för att tydliggöra både den nuvarande och den önskade kulturen.  Syftet med den här fallstudien är att utvärdera och analysera Eskilstuna kommuns med-arbetarenkät för att se om mätinstruments etablerade områden sätt att mäta kultur kan kopplas till kreativitet och innovation. Ett andra syfte är att bidra med förslag på kompletterande, vetenskapligt beprövade frågeställningar för att skärpa mätinstrumentet. En utvärderings- och analysmetod har utformats och vilar på Martins och Terblanches modell Influence of organizational culture on creativity and innovation med en förväntan att utmana mätinstrumentets befintliga områden. Studien visar en diskrepans mellan mätinstrumentets befintliga områden och det man önskar att mäta och uppmuntrar till fortsatta ansträngningar i utvecklandet av specifika instrument och åtgärder för att bättre kunna mäta och bedöma innovationskultur.