Tutorial:Sobre LaTeX -medidas de fuentes - cajas de color y matemática -

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GeoGebra emplea JLaTeXMath como poderoso aliado para mostrar fórmulas matemáticas (texto y símbolos) vía LaTeX. Lo primero a recordar es que LaTeX opera en dos modos: el de texto y el matemático de modo de ingresar texto en el modo correspondiente y la escritura matemática en en el modo matemático respectivamente .

Por omisión, cuando se tilda la casilla "fórmula LaTeX" se da entrada al modo matemático (tipografía itálica - cursiva-). Si se prefiere ingresar texto (tipografía roman - romana-), es preciso pasar a ese modo de texto , anotando: \text{text text text} o \mbox{text text text}

Fuentes

Tamaño de la Fuente

El tamaño de las fuentes se puede cambiar a nivel global, con los siguientes comandos:

\tiny \scriptsize \footnotesize \small \normalsize
\large \Large \LARGE \huge \Huge

El comando \normalsize permite retornar a la medida original de la fuente. Para combinar diferentes medidas es preciso añadir los comandos entre llaves {...}. Este es un ejemplo de combinación de tamaños en el modo matemático:

Ejemplo: {\scriptsize A}{\footnotesize B}{\small C}{\normalsize D}{\large E}{\Large F}{\LARGE G}{\huge H}{\Huge I} LTX1.PNG

Este es un ejemplo de combinación de tamaños en el modo texto/matemático usando el comando \oldstylenums{ ...} (únicamente modo matemático):

Ejemplo: \text{{\Enorme GeoGebra}, the most powerful, {\small since}}\oldstylenums{ 2001-2012} LTX2.PNG

También puede emplearse el comando en modo texto/matemático: \scalebox{h_scale}[v_scale]{...} donde {h_scale} es un número positivo(negativo) (obligatorio) y [v_scale] es uno opcional, positivo, los números pueden ser deslizadores.

Ejemplo: \scalebox{2}{\text{{\Enorme GeoGebra}, lo más poderoso, {\small desde }}\oldstylenums{ 2001-2012}}LTX3.PNG

Familias de Fuentes

En el modo texto, se cuenta con las siguientes familias de texto que se pueden emplear globalmente o mediante el uso de llaves {...}: \rm o {\rm } \sf o {\sf } \tt o {\tt }

Ejemplo: \text{{\rm GeoGebra}{\sf , the most powerful}, {\tt since }}\oldstylenums{ 2001-2012} LTX4.PNG

En el modo matemático se cuenta con las siguientes familias (mathrm por omisión):

\mathcal{ABC} \mathrm{abc} \mathbf{abc} \mathsf{abc} \mathit{abc}
\mathtt{abc} \mathfrak{abc} \mathbb{ABC} \mathscr{ABC}
Ejemplo: \mathbb{G}\mathfrak{e}\mathbf{o}\mathsf{G}\mathscr{E}\mathtt{b}\mathit{r}\mathrm{a}
LTX5.PNG

Series de Fuente

Para el empleo en modo texto' se puede usar \bf o {\bf ...} y para modo matemático, \mathbf{...},

Ejemplo: \text{\bf GeoGebra }\mathbf{\sqrt{2012^{2}}}
LTX6.PNG

Font Shapes

For Small Caps in text mode use:\text{{\sc GeoGebra} or \textsc{GeoGebra}

Ejemplo: \ texto {\ bf GeoGebra} \ vec {\ sqrt {2012 ^ {2}}}

[ editar ] Formas de fuente Para Small Caps en modo de texto de uso: \ texto {{\ sc GeoGebra} o \ textsc {} GeoGebra

[ editar ] Las comillas

Quotation marks

Straight quotes "..." is a special character for GeoGebra, should never be used directly in LaTeX. For a single quotation marks in text mode use: \text{'Simple'} and for double quotation marks use:\text{''Doble''}

For more info see http://www.geogebra.org/forum/viewtopic.php?f=8&t=20512&p=77283&hilit=quotes#p77283

Horizontal space.

For a single spaced in text mode use the space bar for other spaces we have the following commands:\quad \qquad \hspace{...}

The command \hspace{...} (and \quad, \qquad also available in math mode) supports the following units of measurement (positive and negative) :

pt point (1 in = 72.27 pt) pc pica (1 pc = 12 pt)
in inch (1 in = 25.4 mm) bp big point (1 in = 72 bp)
cm centimetre (1 cm = 10 mm) mm millimetre
dd didot point (1157 dd = 1238 pt) sp scaled point (65536 sp = 1 pt)

In math mode we have the following commands:

\, a small space \: a medium space \; a large space \! a negative space (moves things back to the left)

Boxes and Color (In both modes)

Text and Math in Color

The colors supported directly by JLaTeXMath can be found in http://en.wikibooks.org/wiki/LaTeX/Colors#The_68_standard_colors_known_to_dvips you can use the command:\textcolor{color}{...}

Ejemplo: \text{\textcolor{WildStrawberry}{Geo}\textcolor{blue}{G}\textcolor{red}{ebra}}\,\textcolor{green}{\oldstylenums{4.2}
LTX7.PNG

Añadiendo Colores

If you need to create new color, you can use the command: \definecolor{mycolour}{rgb}{a,b,c} the numbers a, b and c must be between 0 and 1, can be a slider, for example:

Ejemplo:
\definecolor{a}{rgb}{0.63,0.39,0.17}
\definecolor{b}{rgb}{0.63,0.17,0.39}
\definecolor{c}{rgb}{0.39,0.63,0.17}
\definecolor{d}{rgb}{0.39,0.17,0.63}
\definecolor{e}{rgb}{0.17,0.63,0.39}
\definecolor{f}{rgb}{0.17,0.39,0.63}
\text{\textcolor{a}C\textcolor{b}O\textcolor{c}L\textcolor{d}O\textcolor{e}U\textcolor{f}R}
LTEX7a.PNG

Frame Boxes

For simple frame boxes (no colors) use :\boxed{2012\text{ is now!} or\fbox{2012\text{ is now!}

Color Boxes

A. For a color box (same color in border and background) use:\colorbox{red}{2012\text{ is now!} B. For a color box (diferent color in border and background) use:\fcolorbox{blue}{red}{2012\text{ is now!}

Rotate Boxes

If you need to rotate a box (or whatever) use:\rotatebox{angle}{...}

Ejemplo: \rotatebox{45}{\fcolorbox{blue}{red}{2012\text{ is now!}}
LTX8.PNG

Reflect Boxes

If you need to reflect a box (or whatever) use:\reflectbox{...}

Ejemplo: \reflectbox{\fcolorbox{blue}{red}{2012\text{ is now!}}
LTX9.PNG

Phantom Boxes

Sometimes it is necessary to have these phantom boxes,for systems, control the height under a root, alignment on a formula, etc. It has these three commands:

\phantom{XXX} space as wide and high as three X’s
\hphantom{XXX} space as wide as three X’s; height 0
\vphantom{X} space of width 0, height = height of X
Ejemplo: \sqrt{b}+\sqrt{\vphantom{b}a}
LTXa.PNG

Más adelante, se podrá consultar una síntesis sobre tablas y matrices.

JLaTeXMath supports many mathematical environments (whitout *) I recommend reading ftp://ftp.ams.org/ams/doc/amsmath/short-math-guide.pdf Serán bienvenidos todos los aportes que desde los diferentes foros puedan hacer llegar participantes que deseen contribuir con ejemplos (de ambientes matemáticos).

LATEX environment

JLaTeXMath provides a number of different environments work. Each environment begins and ends in the same manner. \begin{environment}[options]<br/> ...<br/> \end{environment} The following environments are supported:

• tabular • array • matrix (and variants) • eqnarray
• align • cases • split • multline

Tabular and Array

The tabular and array environment found in similar way, can be used to typeset material with optional horizontal and vertical lines. The options are:

l left-justified column c centered column r right-justified column
| vertical line || double vertical line & column separator
\\ start new row \hline|| horizontal line
Ejemplo:
\begin{tabular}{| l |c ||r |}
\hline
1 & 2 & 3 \\ \hline
4 & 5 & 6 \\ \hline
7 & 8 & 9 \\
\hline
\end{tabular}
LTEX1.PNG

Other example , using \multicolumn and array:

Ejemplo:
\begin{array}{|c|c|}
\hline
\multicolumn{2}{|c|}{\text{Title}} \\
\hline
x & y\\ \hline
a & b\\
c & c\\
d & e\\ \hline
\end{array}
LTEX2.PNG

If you need add column separator (dot for example) and space (1cm), use @{.\hspace{1cm}:

Ejemplo:
\begin{tabular}{r{.\hspace{1cm}}l}
1 & 23 \\
45 & 678\\
910& 1112\\
\end{tabular}
LTEX3.PNG

Matrix

A basic matrix may be created using the matrix environment, the structures is similar to table-array , entries are specified by row, with columns separated using & and a new rows separated with \\. Matrices are usually enclosed in delimiters (default none) of some kind, and while it is possible to use the \left and \right commands. The predefined environments which automatically include delimiters:

pmatrix ( ) bmatrix [ ] Bmatrix { }
vmatrix | | Vmatrix || ||
Ejemplo:
$\mathsf{A}_{m,n} =
\begin{Vmatrix}
a_{1,1} &a_{1,2} &\cdots &a_{1,n} \\
a_{2,1} &a_{2,2} &\cdots &a_{2,n} \\
\vdots & \vdots & \ddots &\vdots \\
a_{m,1} &a_{m,2} &\cdots &a_{m,n}
\end{Vmatrix}$
LTEX4.PNG

Small Matrix

Sometimes you need to write a matrix within text, for this environment have smallmatrix, this works the same way the matrix environment, for example:

Ejemplo:
\mathsf{M} =
\left\{ \begin{smallmatrix}
a&b\\ c&d
\end{smallmatrix} \right\}
LTEX5.PNG

Eqnarray

This environment is designed to write multiline equations or equations that exceed the width of line, it behaves like an array of three columns where the Vrst aligned right, center second and third left. The equations we want to present in this way must be enclosed between \begin{eqnarray} and \end{eqnarray}, an example:

Ejemplo:
\begin{eqnarray}
y &=& (x+1)^2 \\
&=& x^2+2x+1
\end{eqnarray}
LTEX6.PNG

Align

Like eqnarray, but more powerful, you can insert text between lines with the command \intertext{...}, for example:

Ejemplo:
\begin{align}
x+y-z &= 1\\
x-y+z &= 1\\
\intertext{text}
2x\hphantom{-y}+z &= 1
\end{align}
LTEX7.PNG

Casos

For piece wise function or definitions use cases environment:

Ejemplo:
\left\vert x\right\vert =
\begin{cases}
\hphantom{-}x &,\, \text{if }x\geq 0 ,\\
-x&,\, \text{if }x<0
\end{cases}
LTEX8.PNG

Split

For split long math block

Ejemplo:
\begin{split}
a& =b+c-d\\
& \quad +e-f\\
& =g+h\\
& =i
\end{split}
LTEX9.PNG

Multline

For multiple lines of math

Ejemplo:
\begin{multline}
\left(a+b+c+d+e\right)^2=a^2+b^2+c^2+d^2+e^2\\
+2ab+2ac+2ad+2ae+2bc+2bd+2be+2cd+2ce+2de
\end{multline}
LTEXa.PNG

en:LaTeX-tips font size color box and math

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