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This work concerns two new theorems which count the maximum possible number of independent generators of a certain form which leave an ordinary differential equation of second or third order covariant. Sophus Lic has derived such theorems for a particular class of transformations. The new theorems contain Lic’s theorems as a suboase, and are therefore called ‘generalized” theorems.

In this paper I formulate an explicit wavelet transform that, applied to any distribution in S^1(R^2), yields a function on phase space whose high-frequency singularities coincide precisely with the wave front set of the distribution. This characterizes the wave front set of a distribution in terms of the singularities of its wavelet transform with respect to a suitably chosen basic wavelet.

It is the purpose of this paper to study the approximation to real functions by certain power series. Specifically, Taylor's series and generalizations of Taylor's series are considered. The importance of the behavior of the remainder, defined in chapter 1, demands a study of the difference between a function and the terms of an approximation sequence. Thus, this paper is devoted to the presentation of various forms of the remainder term when the approximation is by Taylor's expansion or some of its generalizations. / "May, 1955." / Typescript. / Advisor: B. F. Hadmot, Professor Directing Paper. / "Submitted to the Graduate Council of Florida State University in partial fulfillment of the requirements for the degree of Master of Science." / Includes bibliographical references (leaves 72-73).

NR 20140805

Precise control over microbial cell growth conditions could enable detection of minute phenotypic changes, which would improve our understanding of how genotypes are shaped by adaptive selection. Although automated cell- culture systems such as bioreactors offer strict control over liquid culture conditions, they often do not scale to high-throughput or require cumbersome redesign to alter growth conditions. I report the design and validation of eVOLVER, a scalable DIY framework that can be configured to carry out high- throughput growth experiments in molecular evolution, systems biology, and microbiology. I perform high-throughput evolution of yeast across systematically varied population density niches to show how eVOLVER can precisely characterize adaptive niches. I describe growth selection using time-varying temperature programs on a genome-wide yeast knockout library to identify strains with altered sensitivity to changes in temperature magnitude or frequency. Inspired by large-scale integration of electronics and microfluidics, I also demonstrate millifluidic multiplexing modules that enable multiplexed media routing, cleaning, vial-to-vial transfers and automated yeast mating.

submitted to the Faculty of Education in fulfillment ofthe requirement for the degree of MASTER OF EDUCATION in the Department of CURRICULUM AND INSTRUCTIONAL STUDIES at the UNIVERSITY OF ZULULAND, 2002. / The present study examines the role of parents in the continuous assessment of learners. The first aim was to ascertain the extent to which parents play an active role in the continuous assessment of their children. The second aim was to ascertain the extent to which parents understand the significance of continuous assessment. The third aim was to determine whether parents' biographical factors such as gender, age, type of parent, academic qualification as well as learner's grade have any influence on parents' active role which they play in the continuous assessment of their children. The last aim was to determine whether parents' biographical factors such as gender, aEQ, type of parent, academic qualification as well as learner's grade have any influence on parents1 understanding of the significance of continuous assessment. To this end, a questionnaire was administered to a randomly selected sample of one hundred and eighty four parents. The findings reveal that parents differ in the extent to which they play an active role in the continuous assessment of their children. A very high percentage (72,3%) of parents report an above average level of active role. The findings show that parents differ in the extent to which they understand the significance of continuous assessment. A very high percentage (65.2%) of parents report an above average level of understanding of the significance of continuous assessment. The findings also indicate that parents' personal variables such as age, type of parent, academic qualification as well as learner's grade have no influence on parents' active role which they play in the continuous assessment of their children. The last findings show that, with the exception of learner's grade, gender, age, type of parent and academic qualification have no influence on parents' understanding of the significance of continuous assessment. A very high percentage (72.2%) of parents.with learners in grade 8 report above average level of understanding of the significance of continuous assessment as compared to (57.5%) of parents with learners in grade 7. On the basis of the findings of this study, recommendations to the Department of Education and Culture, as well as for directing future research were made. / National Research Fund

Let X be a planar or one-dimensional Peano continuum. Let E be a Hawaiian Earring with fundamental group H. We show that every homomorphism from H to the fundamental group of X is conjugate to a homomorphism which is induced by a continuous function.

The purpose of this study is to continue development of a benchmarking model to help companies assess their technical maturity when it comes to adopting Continuous Integration, Continuous Delivery and DevOps in their organization. The goal of the research is to assess how to improve the quality of qualitative models. Which conclusions can be drawn from comparing companies using benchmark and to assess which actions are the most effective to take to reach higher Continuous Integration, Continuous Delivery and DevOps maturity. The benchmark consisted of a questioner of two hundred statements that were answered for level of agreement with a current situation analysis and an ought-to-be analysis to be able to draw conclusions from the possible discrepancy between these categories. The questioner was answered during an interview study with chosen clients. Conclusions drawn from this study were that a lot can be done to improve the quality of qualitative models for examining Continuous Integration, Continuous Delivery and DevOps maturity. Different actions are necessary but the most important seems to be to ask open ended questions as well ass questions about different aspects of the same problem to promote discussion. It was also showed to be important to peer review the questions in the interview material beforehand to increase quality. The study also showed that it is possible to see trends in Continuous Integration, Continuous Delivery and DevOps maturity when comparing qualitative results for research subjects. The study showed that the most effective method for increasing Continuous Integration, Continuous Delivery and DevOps maturity is to use extensive automated testing suites that covers all testing disciplines. / Syftet med studien är att vidareutveckla ett benchmarkingverktyg för att hjälpa företag att bedöma sin tekniska mognad när det gäller att anta Continuous Integration, Continuous Delivery och DevOps i sin organisation. Målet med forskningen är att bedöma hur man kan förbättra kvaliteten på kvalitativa modeller för att mäta detta, samt vilka slutsatser som kan dras av att jämföra företags resultat som nyttjat studien. Samt att undersöka vilka åtgärder som är effektivast att ta för att nå en högre mognadsgrad inom Continuous Integration, Continuous Delivery och DevOps. Benchmarken bestod av ett frågebatteri av tvåhundra påståenden som besvarades av kunden i hur mycket de instämde till ett påstående. Resultatet samanställdes till en aktuell nulägesanalys och en börlägesanalys, med målet att dra slutsatser i vilka skillnaden som fanns mellan dessa två kategorier. Kunden besvarade frågebatteriet under en intervjustudie med utvalda anställda. Slutsatser som härrör från denna studie var att mycket kan göras för att förbättra kvaliteten på kvalitativa modeller för att undersöka Continuous Integration, Continuous Delivery och DevOps mognadsgrad. Olika åtgärder är möjliga, men det viktigaste förefaller vara att fråga öppna frågor för att främja diskussion samt att ställa frågor om olika aspekter av samma problem. Samt att opponera frågorna internt i intervjuundersökningen innan det utförs hos en kund, för att öka kvaliteten. Studien visade också att det även är möjligt att se trender i Continuous Integration, Continuous Delivery och DevOps mognad hos deltagarna när man jämför de kvalitativa resultaten. Studien visade att de mest effektiva metoderna för att öka Continuous Integration, Continuous Delivery och DevOps mognadsgrad är att använda omfattande automatiserade testsviter för samtliga testmetoder.

The amount of data being collected is increasing astronomically. Hence questions about privacy and data security are becoming more important than ever. A fast-changing culture is also reflected in the demands and requirements placed on software systems. Products and services need to evolve with the demands and feedback from customers to stay relevant on the market. Working methods and technologies have been refined to afford updating software continuously. However, rapidly changing software cause concern for the quality and level of security in the release. This thesis is a comprehensive literature study, reviewing the challenges of ensuring secure practises for continuously evolving software. The problem solved by the thesis is lack of an overall picture of the security concerns during continuous evolution. The findings are summarised in a checklist of areas of concern for security when maintaining and updating systems with continuous practises in cloud environments. This study shows that ensuring security, while delivering continuous releases, is a daunting task. It requires close collaboration between teams handling different aspects of software. This, in turn, entails a widening of competences to include knowledge about the work of other departments. It is concluded that personnel with this wide range of skill will be hard to acquire. / I en tid då mängden data som samlas in om individer ökar i ohindrad takt, blir frågor om integritet och informationssäkerhet viktigare än någonsin. Kraven på snabb utveckling och förändring präglar även metoderna för mjukvaruutveckling. Produkter och tjänster måste konstant anpassas efter kundernas önskemål för att förbli relevant på marknaden. Arbetssätt och teknologier har utvecklats över tid för att möjliggöra mjukvara som uppdateras kontinuerligt. Konstant föränderlig mjukvara leder dock till oro för kvalitén och säkerheten av uppdateringarna. Den här uppsatsen är en litteraturstudie som undersöker utmaningarna att säkerställa säkerhet för mjukvara som uppdateras kontinuerligt. Problemet som löses genom studien är den saknade helhetsbilden av säkerhetsproblem vid kontinuerligt föränderlig mjukvara. Resultatet sammanfattas i en checklista för områden som väcker oro för säkerheten vid arbetssätt som tillåter kontinuerliga uppdateringar i moln-miljöer. Studien visar att leverera säkra lösningar kontinuerligt är en svår uppgift. Det kräver nära samarbete mellan team som sköter olika delar av mjukvaruutveckling. Detta fordrar vida kompetenser som inkluderar förståelse av varandras arbete. Att finna personal med tillräckligt vida kompetenser uppskattas vara problematiskt.