By George Grätzer (auth.)

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**Extra resources for Math into LATEX: An Introduction to LATEX and AMS-LATEX**

**Sample text**

This is what happened: IbTEX was trying to typeset \lim_{x \to a} \frac{f(x) - f(a) x - a} but \frac needs two arguments. IbTEX found f (x) - f (a) x - a as the first argument. While looking for the second, it found \], which is obviously an error (it was looking for a { ). 3 Building blocks of a formula A formula is built up from various types of components. 2 Typing math • • • • 15 Matrices Roots Sums and products Text Some of the commands in the following examples are defined in the amsmath package; in other words, to typeset these examples with the article document class, the article should start with \documentclass{article} \usepackage{amssymb,amsmath} Arithmetic The arithmetic operations a expected: + b, a - b, -a, alb, ab are typed as $a + b$, $a - b$, $-a$, $a / b$, $a b$ If you wish to use· or x for multiplication, as in a· b or a x b, use \cdot or \times, respectively.

With the amsmath package, equations can also be tagged by attaching a name to the tormula with the \tag command; the tag replaces the number. 4 Typing equations and aligned formulas 31 \begin{equation} \int_{O}-{\pi} \sin x \, dx \end{equation} 2 \tag{Int} Tags (of the type discussed here) are absolute; this equation is always referred to as (lnt). Equation numbers, on the other hand, are relative; they change as equations are added, deleted, or rearranged. TEX, with the help of the amsmath package, has many ways to typeset multiline formulas.

222 completely irreducible--? --? 222 means line 222 of your source file. You must edit this line. 11. 3) also contains this message. 2 Your first note We start our discussion on how to type a note in IbTEX with a simple example. Suppose you want to use IbTEX to produce the following: L It is of some concern to me that the terminology used in multi-section math courses is not uniform. In several sections of the course on matrix theory, the term "hamiltonianreduced" is used. I, personally, would rather call these "hyper-simple".