figure elyxer.png eLyXer Math Showcase

Alex Fernández (elyxer@gmail.com)

1 Introduction

This document is intended as a showcase of the mathematical abilities of eLyXer; for more information be sure to visit the main page.

1.1 Versions

There are several versions of this page:
All of them are generated from the same .lyx source file; they should help you decide which rendering options suit you best.

2 Typography

Math formulae use a lot of different symbols and fonts.

2.1 Greek Symbols

Greek symbols are very important in equations: , , . eLyXer offers a complete set in both upper case: and lower case: . Also the AMS italicized upper case: .

2.2 Math Symbols

eLyXer supports the whole set of math symbols in John D. Cook's list: . It can also render a few more: . You also get all symbols from Markus Kuhn's list: .

2.3 Other Symbols

There are other symbols like arrows: , or geometrical shapes: , . eLyXer offers limited support for them. You might also want to use financial symbols in formulae: .

2.4 Spacing

Equations look good when items are properly separated. The main separation is the Medium Mathematical Space: . Note: if you are viewing the non-Unicode version math.html of this page then you are in fact seeing midspaces, which are very similar but not exactly the same: for medium mathematical spaces versus , where . Try out the Unicode version math-unicode.html — and viceversa. You can check out what version this page is in the page title.
The command \raisebox is useful to, surprisingly, raise a little box.
It can also be used just for spacing.
.
There are other spacing commands: \hspace: , and \vspace: .

2.5 Fonts

Many fonts are used in equations.
Regular text is shown italicized. Variable: , , .
Some font styles can be used in equations. Roman: . Sans serif: . Typewriter: . Bold: .
Regular text. Normal text: . Literal text: . Phonetic alphabet: .
Units can be shown with or without a magnitude. Withouth: . With: . With fractional units: . With a fraction before the units: , .
Some special fonts are supported: , , , . For those, some single characters are translated to their Unicode equivalents: , , .

3 Numeration

Equations can be numbered, like .
And also like .
Some equations can be numbered even if they don’t have a label.
Notice that comes after .

4 Simple Structures

Let’s now see a few of the simpler structures that eLyXer can output.

4.1 Fractions

A simple fraction: Inlined:
A big recursive fraction:
A nice fraction: . A non-diminishing fraction containing alignments:
A similar concept is a binomial coefficient: It can be prettily presented:

4.2 Limits

A limit must appear below the main symbol: which should appear as in italics, and «lim» in plain style. Note that in HTML the limit does not actually appear below the «lim» but to the right. Inlined: .
Limits are also used in sums: where the sum’s limits should appear below ( ) and above ( ) the . Inlined: Also in integrals:

4.3 Roots

A square root: A more complex root in a fraction:
eLyXer can also do higher-order roots: . A devilish case mixing everything we have seen so far:

5 Complex Structures

In this section we will explore arrays and related constructs.

5.1 Arrays

An inline array : is always shown in the same line.
An independent array is shown on its own line: Apart from that the appearance should be the same.

5.2 Brackets

Arrays are separated by brackets: . There are also big brackets: .

5.3 Cases

Used to switch between several values.

5.4 Braces

Values can be underbraced or overbraced.
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6 The End

That’s all folks!

Copyright (C) 2010 Alex Fernández (elyxer@gmail.com)