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This is a set of notes for the first two chapters of an Abstract Algebra course, following the Hungerford textbook table of contents. One notable feature is the use of a couple of commands that allow one to show only definitions, or only the examples, etc., and another command that allows one to format examples for making handouts.

"ModernCV" CV and Cover Letter LaTeX Template Version 1.1 (9/12/12) This template has been downloaded from: http://www.LaTeXTemplates.com Original author: Xavier Danaux (xdanaux@gmail.com) License: CC BY-NC-SA 3.0 (http://creativecommons.org/licenses/by-nc-sa/3.0/) Important note: This template requires the moderncv.cls and .sty files to be in the same directory as this .tex file. These files provide the resume style and themes used for structuring the document.

Since the conception of the Quantum Computer (QC), their potential for greater magnitudes in speed of processing calculations has been realised by the vast majority of interested parties. This has led to a recent push in research and development in creating a stable QC which can perform quantum algorithms. To aid the creation of a stable and highly available quantum computer, simulators have been developed as a tool to as the thought processes. This report discusses details of a project that aims to investigate around the subject area, and produce an application to allow users to simulate quantum algorithms on a QC.

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Fred Brooks Jr. outlined four inherent problems in software engineering in his paper No Silver Bullet. Being written almost thirty years ago new technologies have been developed which have not been evaluated against these properties. This paper will be evaluating the features of NoSQL databases and look to see how they affect the problems, whether positively or negatively.

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METATOYs are optical components that can produce light ray fields that were thought to have been forbidden until now. They can be utilised to produce effects that were thought to be science-fiction. Invisibility cloaks, but on a larger scale than previously possible, is the major one as well other abstract effects to light rays. This report will explore what happens when two dove prism arrays are brought together and rotated and how they can produce these supposed illegal light ray fields.

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