This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.

# Guide for contributors

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We use Wikipedia's markup. To see what it looks like and test your work try the Wikipedia sandbox.

The main thing to know is:

• '''bold''' for bold,
• ''italics'' for italic,
• ==Section head==;

More on transcribing:

• Keep paragraphs short and use blank lines to separate paragraphs.
• Format theorems as bold: '''Theorem.''', also '''Definition.''', '''Example.''', '''Exercise.'''. Proofs are italic: ''Proof.''.
• Dash underline is replaced with italic, solid underline -- bold, double underline -- section head.
• Illustration format: [[Image:imagesample.jpg]], with no right/left, thumb/frame etc attributes.
• Images are to be named descriptively. Use full words, usually 3 or more. Copy the name as the description part of the markup: [[Image:graph in cartesian coordinates.jpg|right|graph in cartesian coordinates]].
• Include wiki links to articles in the text, such as [[derivative]] for derivative, whenever possible but no more than one link to the same page per page.
• Provide complete punctuation, e.g., comma or semicolon in the end of each item in a list, comma or period in the end of formulas etc.
• Some sentences are incomplete and some formulas lack introduction. They should be preceded by "Let", "Consider", "Suppose" etc.
• Avoid capitalization in titles and elsewhere beyond the first word.
• Keep each article within 5 pages long.
• Please spell-check.

TeX installed is powered by MathJax. Use TeX for mathematics, formulas, etc, when necessary but not for formatting. Add $\blacksquare$ in the end of proofs.

To decide between capital and small forms, this is the rule that I follow:

• Numbers, coordinates, vectors (almost always), anything "small", aren't capitalized. These are common.
• Sets, spaces, matrices, anything "large", are. These are much less common.

Add categories to each article: [[category:calculus]]. To see the list click on "Categories" at the bottom.

Most of the content comes from the actual lectures. The lectures notes are often rumbling and disconnected, for a number of reasons. The main goal is to transcribe them fully and in the same order. Making sense of them now is secondary. So, if something is unclear at this time, just transcribe it, indicate that there is an issue, and move on. Later, I'll try to figure out what I meant, what I said in addition to what I wrote, what's missing, fill in the gaps etc, as I did with this article. If some stuff still doesn't make sense, I'll simply throw it out.

One way to deal with the rumbling nature of the notes that I found is to use very short paragraphs, even a single sentence paragraphs. This way you mimic what happens in class: pauses in writing while something is being said to illustrate etc.

I will try in the future to separate the textbook part from the reference book part...