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Cell["\<\
M\[EAcute]todos de Optimizaci\[OAcute]n ADE. Pr\[AAcute]cticas. Dpto de \
Econom\[IAcute]a e Historia Econ\[OAcute]mica. Universidad de Salamanca.  \
\>", "Department",
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Cell["\<\
\[CapitalUAcute]ltima actualizaci\[OAcute]n: 2013-05-24\
\>", "Date",
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Cell[TextData[{
 "\[DownQuestion]Que es ",
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 " ?"
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Cell[TextData[{
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 " en sus primeras versiones era un programa especialmente orientado al c\
\[AAcute]lculo simb\[OAcute]lico y num\[EAcute]rico. Con las versiones m\
\[AAcute]s recientes se ha convertido en un sistema integral que une la \
potencia de c\[AAcute]lculo con la versatilidad y sencillez que permite ser \
utilizado en cualquier campo: Ingenier\[IAcute]a, econom\[IAcute]a, \
f\[IAcute]sica, biolog\[IAcute]a, matem\[AAcute]ticas, ciencias de la \
computaci\[OAcute]n, etc. Esto se ve facilitado por la capacidad de importar \
y exportar en una gran variedad de formatos, incluso permite la exportaci\
\[OAcute]n directa desde sitios web y la conexi\[OAcute]n a programas \
externos.  "
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Cell["\<\
El programa no esta orientado a ninguna rama de la ciencias o la \
t\[EAcute]cnica en particular.  Una breve introducci\[OAcute]n \"on line\" al \
programa (en espa\[NTilde]ol) esta disponible en\
\>", "Text",
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Cell[TextData[{
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 " 8 dio un salto revolucionario con la introducci\[OAcute]n de lo que vamos \
a denominar la forma ",
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 (en un ingl\[EAcute]s b\[AAcute]sico) que queremos resolver y ",
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nuevas funciones. \nA continuaci\[OAcute]n haremos una breve introducci\
\[OAcute]n al programa (version 8). Un introducci\[OAcute]n mas detallada \
(incluye versi\[OAcute]n 9) puede obtenerla pulsando ",
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cdf"],
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comenzar a utilizarse desde los primeros minutos. Esto es particularmente \
cierto cuando se utiliza la forma ling\[UDoubleDot]\[IAcute]stica, como se \
muestra debajo. "
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Cell["\<\
Los ejemplos que siguen en este apartado es solo para que los vea, en el \
siguiente le mostraremos como puede introducirlo Ud mismo.\
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Antes de nada debe asegurarse que tiene el programa instalado y con la \
licencia activada, si no lo est\[AAcute] el propio programa de instalaci\
\[OAcute]n le guiar\[AAcute] para activarla. \
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Por defecto aparecer\[AAcute] la ventana de bienvenida como la de abajo.\
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seleccione ",
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y pruebe a variar el estilo de la celda."
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Cell[TextData[{
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Cell[TextData[{
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\[UAcute] contextual con el bot\[OAcute]n derecho del rat\[OAcute]n, entonces \
seleccione \"Evaluate Cell\". "
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Cell[TextData[{
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\[OAcute]n escribimos punto y coma \";\", dicha instrucci\[OAcute]n se \
calcular\[AAcute] pero los resultados de salida no se mostrar\[AAcute]n. Esto \
es \[UAcute]til para evitar que se muestren resultados intermedios que no \
necesitamos ver. En una celda a evaluar (",
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comentarios en celdas diferentes en formato texto, recuerde que ello puede \
hacerlo eligiendo ",
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Cell[TextData[{
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celda en la que estemos y entonces podemos comenzar a escribir en la nueva \
celda. Tambi\[EAcute]n se puede crear una nueva celda, en el punto donde est\
\[EAcute] el cursor, pulsando ",
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\[IAcute]mbolos matem\[AAcute]ticos es conveniente cargar la paleta ",
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\[EAcute]n puede utilizar atajos de teclado. Los m\[AAcute]s \[UAcute]tiles \
son: sub\[IAcute]ndice [",
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Cell["\<\
Utilizando una paleta o los atajos de teclado escriba lo que se muestra en la \
celda de abajo y ejec\[UAcute]tela. Recuerde: un espacio en blanco es \
equivalente a un s\[IAcute]mbolo de multiplicaci\[OAcute]n, es decir en vez \
de 4\[Times]5 puede escribirse  4 5. \
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\[IAcute]mbolos especiales utilizando la forma: ",
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programaci\[OAcute]n, como C, Fortran o Basic. Por ejemplo: multiplicaci\
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\[OAcute]n cl\[AAcute]sica de las matem\[AAcute]ticas. En ",
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\[OAcute]n tradicional. Observe que la marca de celda aparece con un corchete \
serpenteado. El mismo men\[UAcute] podr\[AAcute] utilizarlo para conversi\
\[OAcute]n a otras formas."
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Cell["\[DownQuestion]Que es un Notebook?", "Section"],

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Cell["\<\
Lo que estamos viendo es un Notebook. Cada Notebook de Mathematica es un \
documento completo e interactivo que combina texto, tablas, gr\[AAcute]ficos, \
c\[AAcute]lculos y otros elementos. \
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importante es conocer el \"interface\"  del  ",
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\"",
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mantener la denominaci\[OAcute]n original). Esto que esta mirando en este \
momento es un notebook."
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incluyan formulas, texto, gr\[AAcute]ficos, tablas animaciones y todo ello \
integrado en \[UAcute]nico documento o fichero interactivo (con extensi\
\[OAcute]n *.nb)."
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Cada documento esta estructurado en celdas. Las celdas se definen en \
diferentes tipos: Celdas de t\[IAcute]tulo, de secci\[OAcute]n, de entradas, \
de salidas, de gr\[AAcute]ficos, etc) .   \
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Cell["\<\
 Podemos asignar a cada celda un estilo a partir de una hoja de estilos. (Por \
ejemplo esto es una subsecci\[OAcute]n)\
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Los Notebooks se organizan autom\[AAcute]ticamente como una jerarqu\[IAcute]a \
de celdas. Podemos cerrar los grupos de celdas de modo que s\[OAcute]lo \
veamos los encabezamientos. \
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Este es un texto ordinario. Prueba a modificar el formato de esta celda.\
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aspecto deseado de modo que podamos generar documentos con calidad de \
publicaci\[OAcute]n. "
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hiperlink1 (esta celda previamente le habrimos a\[NTilde]adido una marca para \
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Cell["\<\
Con  Format \[FilledRightTriangle] Stylesheet se puede elegir el estilo \
general del notebook (cuaderno) y Format\[FilledRightTriangle]Style para \
elegir el formato de una celda concreta. Tambien podremos dentro de un mismo \
estilo elegir el ambiente de trabajo apropiado \
Format\[FilledRightTriangle]Screen Environment. \
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Prueba a modificar el estilo de este notebook y el formato de esta celda.\
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Cell["\<\
Un peque\[NTilde]o truco: Las celdas a evaluar las definiremos tipo \"Input\" \
que al ser evaluadas (salvo que utilicemos ;) generaran la salida \
correspondiente. Si pulsamos sobre la celda  Out[] se escondera el input, \
esto puede ser muy util para la elaboracion de documentos\
\>", "Text",
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Cell[TextData[{
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 "accedemos a la ayuda individualizada para una funci\[OAcute]n concreta, con \
sus opciones y ejemplos. Probablemente es el mejor sitio para aprender el uso \
de una funci\[OAcute]n. En la misma ayuda se incluyen enlaces a Tutoriales \
(Tutorial/...) donde se agrupan varias funciones que tienen un proposito \
parecido, y a enlaces externos."
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Cell[TextData[{
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sitio se puede obtener infomaci\[OAcute]n avanzada sobre distintos temas \
(ej.: Mathematics algorithms-> Advanced topics)"
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Cell[TextData[{
 "Si no tenemos una idea clara de la funcion que queremos utilizar o la \
recordamos vagamente podemos utilizar la barra de busqueda (",
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 ") escribiendo (en ingl\[EAcute]s) con dos o tres palabras lo que buscamos."
}], "Text",
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Cell["\<\
Otra forma de ayuda nos es proporcionada cuando cometemos errores entonces \
recibiremos mensajes de texto o de sonido a los que debemos atentos. Por \
ejemplo, si intentamos evaluar la celda de abajo recibiremos un pitido. Con \
Help->  Why the Beep? podremos saber la razon del pitido\
\>", "Text",
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Cell["\"Esto es un texto\" (La celda debe ser de texto)", "Text",
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Cell[CellGroupData[{

Cell["Un breve introduccion al uso del programa", "Section",
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Cell[TextData[{
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 StyleBox["Mathematica",
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 " que en el texto no se explican o se hace de forma muy somera, para \
entender su sint\[AAcute]sis lo que hay que hacer es utilizar la ayuda del \
programa, una forma pr\[AAcute]ctica es marcar con el rat\[OAcute]n la \
instruccion y darle a la techa F1 . "
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Cell[CellGroupData[{

Cell["Ideas b\[AAcute]sicas", "Subsection",
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Cell[TextData[{
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Cell["Los argumentos se escriben entre corchetes.", "Text",
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Cell["Las listas o dominios se escriben entre llaves.", "Text",
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Cell["\<\
Puede asignarle un valor o expresi\[OAcute]n a una o varias variables y mas \
adelante utilizarlas.\
\>", "Text",
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Cell["\<\
Utilize la ayuda para investigar las distintas funciones y argumentos \
utilizados. Para ello lo mejor es marcar la funci\[OAcute]n con el cursor y \
pulsar F1, observar\[AAcute] que ademas de a la sintasis de la \
funci\[OAcute]n puedes acceder a ejemplos, a otras relacionadas y a tutoriales\
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Cell["\<\
Escribe una funcion y pulse Crt + May + K , observe como se muestran los \
argumentos b\[AAcute]sicos de la funci\[OAcute]n\
\>", "Text",
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Cell["\<\
Pruebe a escribir parte de una funci\[OAcute]n y pulsa  Crt + K , se \
desplegara un conjunto de funciones donde aparece esas letras.\
\>", "Text",
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Cell["\<\
Otra forma de obtener ayuda es (suponga que quiere calcular un minimo, pruebe \
a busca funciones que incluyan \[OpenCurlyDoubleQuote]mini\
\[CloseCurlyDoubleQuote])\
\>", "Text",
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Cell["\<\
Pulse en alguna de las desplagadas y obtendra una breve ayuda de cada una de \
ellas, eso le permitira decidir cual utilizar.\
\>", "Text",
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Cell["\<\
Para ver directamente las opciones de una funcion la forma es\
\>", "Text",
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Cell["Funciones ", "Subsection",
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Cell[TextData[{
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 StyleBox["Mathematica",
  FontFamily->"Times New Roman",
  FontSlant->"Italic"],
 StyleBox[", es de los conceptos que el usuario del programa debe tener muy \
claro.   El concepto es muy parecido al uso habitual en matematicas. Veamoslo \
con un ejemplo.",
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Cell["\<\
Ahora el lado decha de la expresi\[OAcute]n anterior es sustituida por la \
izda. Se puede observar dando algun valor a x\
\>", "Text"],

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Cell["\<\
Incluso puede emplearse para casos mas complejos como es el de sustituir \
valores de x para un intervalo concreto como ocurre cuando se construye un gr\
\[AAcute]fico\
\>", "Text"],

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  AxesOrigin->{0, 0},
  PlotRange->{{0, 10}, {-0.19999983461467596`, 0.2}},
  PlotRangeClipping->True,
  PlotRangePadding->{
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}, Open  ]],

Cell["\<\
Obs\[EAcute]rvese que la aplicaci\[OAcute]n de funciones es muy adecuada \
cuando se desean utilizar calculos previos\
\>", "Text"],

Cell["\<\
Incluso podemos crear funciones de varias variables. En este ejemplo \
utilizamos la funci\[OAcute]n f(x) antes definida\
\>", "Text"],

Cell[CellGroupData[{

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}, Open  ]],

Cell["\<\
Ahora podemo presentar el resultado en un gr\[AAcute]fico 3D\
\>", "Text"],

Cell[CellGroupData[{

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Si escribe ahora lo mismo ver\[AAcute] que las asignaciones han desaparecido.\
\
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Debajo se muestra la \[UAcute]ltimo valor del IBEX35 en el momento de \
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Cell["\<\
Siempre que iniciemos un nuevo problema utilizamos la funci\[OAcute]n de \
abajo para evitar conflictos de variables\
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Cell["\<\
Vemos que el maximo est\[AAcute] en {x \[Rule] 1, y \[Rule] 2} y es 3. \
Podemos comprobarlo (recordemos que   /. se utiliza para reemplazamientos}\
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Cell["\<\
Observe que el problema anterior tambien podemos resolberlo utilizando \
formato linguisto escribiendo \[OpenCurlyDoubleQuote]Maximize x + y  with x<1 \
and y<2\[CloseCurlyDoubleQuote] u otra equivalente.\
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Cell["Podemos copiar la entrada y modificarla si es necesario.", "Text",
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Cell["\<\
El m\[IAcute]nimo para las mismas condiciones podemos calcularlo como sigue :\
\
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Cell[TextData[{
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con el rat\[OAcute]n sobre el centro del gr\[AAcute]fico y desplazelo para \
verlo sobre distinta perspectivas. El simbolo && correspode a la proposici\
\[OAcute]n l\[OAcute]gica Y (o AND). En este caso indica que deben cumplirse \
simultaneamente las dos restricciones indicadas. Pueden incluirse tantas \
restricciones como se desee."
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Vamos a aplicar una sistematica que nos va a ser muy util en problemas donde \
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