Developments and extensions of Roth's method of double Fourier series with applications to the solution of electromagnetic field problems

The first part of the thesis compares Roth's method with other methods, in particular the method of separation of variables and the finite cosine transform method, for solving certain elliptic partial differential equations arising in practice. In particular we consider the solution of steady state problems associated with insulated conductors in rectangular slots. Roth's method has two main disadvantages namely the slow rate of con­vergence of the double Fourier series and the restrictive form of the allowable boundary conditions. A combined Roth-separation of variables method is derived to remove the restrictions on the form of the boundary conditions and various Chebyshev approximations are used to try to improve the rate of convergence of the series. All the techniques are then applied to the Neumann problem arising from balanced rectangular windings in a transformer window. Roth's method is then extended to deal with problems other than those resulting from static fields. First we consider a rectangular insulated conductor in a rectangular slot when the current is varying sinusoidally with time. An approximate method is also developed and compared with the exact method.The approximation is then used to consider the problem of an insulated conductor in a slot facing an air gap. We also consider the exact method applied to the determination of the eddy-current loss produced in an isolated rectangular conductor by a transverse magnetic field varying sinusoidally with time. The results obtained using Roth's method are critically compared with those obtained by other authors using different methods. The final part of the thesis investigates further the application of Chebyshdev methods to the solution of elliptic partial differential equations; an area where Chebyshev approximations have rarely been used. A poisson equation with a polynomial term is treated first followed by a slot problem in cylindrical geometry.

Consumer evaluations of brand extensions in emerging economies : evidences from China

This project explored how consumers in emerging economies evaluate brand extension by using China as a case. Two separate but related studies were conducted, and university students were used as respondents in both the studies. Study one or replication study tested Aaker and Keller's brand extension model in China. Assuming similar methods to Aaker and Keller's, six well-recognised brands were chosen as parent brand and each was extended to three product categories. Totally, 469 respondents completed the survey questionnaire. As each was to evaluate six extensions, this made the cases 2814. The data was analysed using Optimal Least Square regression approach and "residual centred" approach respectively. The result confirmed most of the findings observed in developed countries. Specifically, consumer's attitude towards the extension is primarily driven by the brand affect, the fit between the two product categories, the difficulty of making the extension and moderated via the interactions between the brand affect and the fit variables. Study two refined and extended Aaker and Keller's model by adding new variables and making methodological adjustments. The same stimuli and data analysis techniques as those in the replication were employed. 252 respondents participated in the survey and each evaluated six extensions, making cases 1512. In addition to re-verifying the findings of the replication and providing cross validation to these findings, the extended study found that the image consistency between the parent brand and the extension, the competition intensity of the extension product market were important in determining the success of the extension. Further, consumer differed in evaluating durable extensions and non-durable extensions. The thesis detailed the two studies above, and discussed the findings and their implications by relating to branding literature, to the general situation of the emerging economies as well as the reality of China. It also presented the limitations of the research and the future research directions.

Study of the Information Security of File Objects under Information Attacks with a Record of Effect of the Methods of Compression

This report examines important issues pertaining to the different ways of affecting the information security of file objects under information attacks through methods of compression. Accordingly, the report analyzes the three-way relationships which may exist among a selected set of attacks, methods and objects. Thus, a methodology is proposed for evaluation of information security, and a coefficient of information security is created. With respects to this coefficient, using different criteria and methods for evaluation and selection of alternatives, the lowest-risk methods of compression are selected.

Regular and Other Kinds of Extensions of Topological Spaces

∗ This work was partially supported by the National Foundation for Scientific Researches at the Bulgarian Ministry of Education and Science under contract no. MM-427/94.

A Mathematical Apparatus for Ontology Simulation. Specialized Extensions of the Extendable Language of Applied Logic

* This paper was made according to the program of fundamental scientific research of the Presidium of the Russian Academy of Sciences «Mathematical simulation and intellectual systems», the project "Theoretical foundation of the intellectual systems based on ontologies for intellectual support of scientific researches".

Fractional Extensions of Jacobi Polynomials and Gauss Hypergeometric Function

2000 Mathematics Subject Classification: 26A33, 33C45

Some Fractional Extensions of the Temperature Field Problem in Oil Strata

This survey is devoted to some fractional extensions of the incomplete lumped formulation, the lumped formulation and the formulation of Lauwerier of the temperature field problem in oil strata. The method of integral transforms is used to solve the corresponding boundary value problems for the fractional heat equation. By using Caputo’s differintegration operator and the Laplace transform, new integral forms of the solutions are obtained. In each of the different cases the integrands are expressed in terms of a convolution of two special functions of Wright’s type.

File Format for Storage of Multimedia Information

AMS Subj. Classification: 68U05, 68P30

Quaternion Extensions of Order 16

2000 Mathematics Subject Classification: 12F12

Variable Neighborhood Search for the File Transfer Scheduling Problem

ACM Computing Classification System (1998): I.2.8, G.1.6.

Brand personality complementatity:its effects on evaluations of extremely incongruent extensions

Prior research on brand extension has provided little evidence on enhancing the evaluation of extremely incongruent extension. Adopting the theoretical framework of schema congruity theory, the author posits that evaluations can be improved if brand personality impressions of both parent brand and extension are complementary. The author coins this as the brand personality complementarity (BPC) principle. Prior to examining BPC effect, cultural-specific brand personality scale was developed to identify universal and indigenous brand personality dimensions. The reason is BPC requires a reliable and valid brand personality scale in order to detect its effect. Following successful identification of the cultural-specific brand personality scale, a total of three experimental studies were done to investigate BPC effect. Specifically, one experimental study identified complementary levels amongst brand personality dimensions, whereas two experimental studies investigated the moderating effect of BPC. Findings from the scale development study reveal that Malaysian brand personality (MBP) scale is a second higher-order factor reflected by first higher-order factors of sophistication, youth, competence, and sincerity. Most importantly, findings from the experimental studies revealed; 1) different BPC levels amongst all possible pairs of MBP dimensions, 2) significant interaction effect of brand extension congruity x BPC, and 3) significant mediation effect of complementarity resolution. Specific findings indicated that when iv text-based stimuli were used to form brand personality impression, even low BPC level improves the evaluations of extremely incongruent extension. However, when visualbased stimuli were used, low BPC level worsen the extension evaluation compared those of the control condition (i.e. without brand personality impression). Implications for both academician and practitioner are discussed.

An investigation into advertising's ability to foster favorable evaluations of brand extensions

Taking a respected brand name and placing it on a new product has become a popular strategy for leveraging the name's equity and goodwill. Current research has indicated that the success of doing so depends in part on the perceived “fit” between the core brand and the extension. When the name is extended to a closely related product category, consumers are very likely to transfer their favorable attitudes toward the core to the extension. However, as the perceived fit declines, this transfer becomes less likely. ^ This dissertation examined whether particular advertising tactics (e.g., using a common endorser or logo for the core and the extension) could enhance perceived fit between the core brand and its extension, thus leading to more favorable attitudes toward the extension than would otherwise occur. The sample was undergraduate students from universities in the southeast. The generating mechanism tested was that the transfer of associations between core brand and extension would enhance the overlap of associations between the core brand and the potential extension. ^ Research questions were analyzed using a 3 (levels of fit) x 3 (treatments) x 2 (replicate) experiment. The data analysis was conducted with repeated measures ANOVA's, UNIVARIATE ANOVA's, UNIVARIATE ANCOVA'S, and planned linear contrasts. ^ The results, except for the hypotheses on fit as a mediator of extension attitude, do not indicate that the presence of an endorser or brand mark closely aligned with the core brand enhanced perceived fit between core brand and extension. ^