extended real numbers

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

Mathematics Subject Classification

What is wrong with this latex code

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*}
70:
!!! Missing  inserted

\sR is defined as
\newcommand{\sR}[0]{\mathbb{R}}
and that works fine elsewhere in the entry.
---------------------------------------------
I can't see any problem, and the entry renders fine without
these lines.

Any ideas?

Re: What is wrong with this latex code

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)........

Re: What is wrong with this latex code

silverfish wrote:

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

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

Re: What is wrong with this latex code

That does it. Thanks!

A bit of history

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 Universal 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.