Difference between revisions of "SFN:Main Page"
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1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} | 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} | ||
{1+\frac{e^{-8\pi}} {1+\ldots} } } }</math> | {1+\frac{e^{-8\pi}} {1+\ldots} } } }</math> | ||
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<math>1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = | <math>1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = | ||
\prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, | \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, | ||
Revision as of 17:51, 20 September 2010
A simple test page for MathML
We assume that the reader is familiar with the basic concepts such as categories, functors, natural transformations, etc. [see for example MacLane, 2000. For the more specialized concepts like categories with subobjects and related ideas, we follow Nambooripad, 1994. We begin by reviewing briefly the definition of categories with subobjects.
\(<mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac>\) (MathML doesn't seem to work with MediaWiki).
Test for LaTeX in mediawiki
\(\frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\ldots} } } }\)
\(1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots =
\prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})},
\quad\quad \text{for} |q|<1.\)