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Originally posted on texblog:

I was asked to give an introduction to tables in Latex. Even though there are plenty of tutorials and pieces of Latex-code out there in the internet, it might still be useful to somebody who just started using Latex or has never used tables before…

Table

Let me start with the table-stub and later on explain how to fill in the actual table content. Most of the Latex editors provide a macro, which is usually helpful as it directly inserts the basic stub usually including a few rows and columns of the table. The macro provided by LED is the following code:

1

There is an optional argument which determines where Latex places the table. Available placements are:

h (here), t (top), b (bottom) and p (page of floats).

Caption and label are the same commands used when including figures. Caption is the…

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Originally posted on texblog:

Different packages of Latex provide nice and easy-to-use environments for theorems, lemmas, proofs, etc. The following post will show you the mostly used layouts and how to change numbering. 
Theorem styles: For theorems, corollaries and lemmas, you need the following package:

\usepackage{amsthm}

which allows you to define new environments using either:

\newtheorem{env_name}{caption}[within]

or

\newtheorem{env_name}[numbered_like]{caption}

 where

  •  env_name: Environment name
  • caption: Text printed before the number, e.g. Theorem, Lemma, etc.
  • within: The name of a defined counter
  • numberered_like: Name of a defined theorem-like environment

Note: The command may at most have one optional argument. Let me give an example: First we define a new theorem “Theorem”, which takes the numbering of the section plus a consecutive number:

\newtheorem{thm}{Theorem}[section] 

For your theorems you can now use the defined environment:

\begin{thm}...\end{thm}

 For lemmas which have the same numbering as the previous thm-environment, we need to define a new theorem type:

\newtheorem{lem}[thm]{Lemma}

 Note: Environments different from thm…

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Originally posted on Gowers's Weblog:

Of course, one might say, there are certain kinds of problems that lend themselves to huge collaborations. One has only to think of the proof of the classification of finite simple groups, or of a rather different kind of example such as a search for a new largest prime carried out during the downtime of thousands of PCs around the world. But my question is a different one. What about the solving of a problem that does not naturally split up into a vast number of subtasks? Are such problems best tackled by $latex n$ people for some $latex n$ that belongs to the set $latex \{1,2,3\}$? (Examples of famous papers with four authors do not count as an interesting answer to this question.)

It seems to me that, at least in theory, a different model could work: different, that is, from the usual model of people working in isolation…

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