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Mac OS X Terminal Commands list. Python Programming Language – Official Website. R-Statistics. Feature Column from the AMS. In this article, we will offer a geometric explanation of singular value decompositions and look at some of the applications of them. ... Introduction The topic of this article, the singular value decomposition, is one that should be a part of the standard mathematics undergraduate curriculum but all too often slips between the cracks.

Besides being rather intuitive, these decompositions are incredibly useful. For instance, Netflix, the online movie rental company, is currently offering a $1 million prize for anyone who can improve the accuracy of its movie recommendation system by 10%. Surprisingly, this seemingly modest problem turns out to be quite challenging, and the groups involved are now using rather sophisticated techniques. At the heart of all of them is the singular value decomposition. A singular value decomposition provides a convenient way for breaking a matrix, which perhaps contains some data we are interested in, into simpler, meaningful pieces.

Now let's look at Ah ha. V. Rcolor. The Comprehensive TeX Archive Network. A Quick & Dirty Guide to LaTeX. LaTeX:Layout. From AoPSWiki This article outlines some of the basics of layout in LaTeX. Note: Rather than typing up all the examples, you can copy-paste the examples into your TeXnicCenter files. We highly recommend opening up your TeXnicCenter and trying out each of the examples as you go. It takes almost no time at all to just copy-paste, compile, and view the results. Source File Format The source file of a LaTeX broadly consists of two parts, the preamble and the document itself. The preamble consists of everything before the \begin{document} command. Our next three sections deal primarily with preamble items, while the rest cover tools you might use within your document. The Preamble Document Class The first line of the file sets the document class with the \documentclass[''options'']{''class''} command.

Article . Book report , and letter .) \documentclass , but generally they can be left to their defaults. Packages Packages are included after the \documentclass statement using . Page Setup The Easy Way . The and. Getting to Grips with LaTeX - LaTeX Tutorials by Andrew Roberts @ School of Computing, University of Leeds. Here are some tutorials I have written for getting up to speed with this excellent document processing system. Funnily enough I wouldn't consider myself an expert, per se, but I'm learning all the time. I recall finding it quite taxing when I started to learn LaTeX, which is why I have started these tutorials. However, I hope that my experience plays to your advantage because I cover sort of questions and problems I had when I first learning LaTeX which are probably typical for most beginners.

Benefits LaTeX pre-dates modern graphical word processors, if not modern graphical operating systems! For a more detailed account, see my article regarding the numerous advantages. Tutorials. YouTube - Broadcast Yourself. Watch your favorites. Anytime. For free. Watch TV Shows and Funny Videos from Adult Swim.

Netflix - Watch TV Shows Online, Watch Movies Online. The Internet Movie Database (IMDb) QCB.