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extended real numbers

plus infinity, minus infinity, $\overline{\mathbb{R}}$, infinite, infinity, finite
Type of Math Object: 
Major Section: 
Groups audience: 

Mathematics Subject Classification

28-00 no label found12D99 no label found


PM reports that an error in this file:
66: \begin{eqnarray*}
67: (a,\infty] &=& \{ x\in \sR : x>a \}, \\
68: [-\infty,a) &=& \{ x\in \sR : x>a \}.
69: \end{eqnarray*}
!!! Missing $$ inserted

\sR is defined as
and that works fine elsewhere in the entry.
I can't see any problem, and the entry renders fine without
these lines.

Any ideas?

Array enviroments have a problem with having a [ as the first character of a new line as you can use [ <measurement> ] to set the gap between lines (or something). You might try replacing line 68 with

68: {[}-\infty, a)........

silverfish wrote:

> 68: {[}-\infty, a)........

I think you also need {-\infty} rather than -\infty in order for the spacing to come out correctly.

That does it. Thanks!

Before giving further comments on Fermat’s theorem and related matters let me give a bit of history: 1640 Fermat’s theorem 1740(circa) Euler’s generalisation of FT 2004 Euler’s generalisation of FT - a further generalisation (Devaraj)) 2006 Minimum UniversalPlanetmathPlanetmath exponent generalisation of Fermat’s T. (Devaraj).

2012 Ultimate generalisation of FT -Pahio and Devaraj

My paper ” Euler’s generalisation…….” freed FT of the requirement of base and exponent to be coprime. Secondly we can identify small factors of very large numbers by merely operating on the exponents. Before concluding this message I would like to thank Pahio for enabling ültimate generalisation of FT.

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