(* Content-type: application/vnd.wolfram.cdf.text *) (*** Wolfram CDF File ***) (* http://www.wolfram.com/cdf *) (* CreatedBy='Mathematica 9.0' *) (*************************************************************************) (* *) (* The Mathematica License under which this file was created prohibits *) (* restricting third parties in receipt of this file from republishing *) (* or redistributing it by any means, including but not limited to *) (* rights management or terms of use, without the express consent of *) (* Wolfram Research, Inc. 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Universidad de \ Salamanca. \ \>", "Department"], Cell["\<\ Guillermo S\[AAcute]nchez (http://diarium.usal.es/guillermo). \ \>", "Department"], Cell["\<\ \[CapitalUAcute]ltima actualizaci\[OAcute]n: 2013-04-25\ \>", "Date"], Cell[CellGroupData[{ Cell[BoxData["$Version"], "Input"], Cell[BoxData["\<\"9.0 for Microsoft Windows (64-bit) (January 25, \ 2013)\"\>"], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "\[DownQuestion]Que es ", StyleBox["Mathematica", FontSlant->"Italic"], " ?" }], "Section"], Cell[TextData[{ StyleBox["Mathematica", FontSlant->"Italic"], " 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. " }], "Text"], Cell[TextData[{ "Puede encontrar presentaciones realizadas por el autor sobre distintos \ aspectos del programa en youtube: \n", ButtonBox["http://www.youtube.com/user/AddlinkSoftware", BaseStyle->"Hyperlink", ButtonData->{ URL["http://www.youtube.com/user/AddlinkSoftware"], None}, ButtonNote->"http://www.youtube.com/user/AddlinkSoftware"], "." }], "Text"], Cell[TextData[{ StyleBox["Mathematica", FontSlant->"Italic"], " 8 dio un salto revolucionario con la introducci\[OAcute]n de lo que vamos \ a denominar la forma ", StyleBox["ling\[UDoubleDot]\[IAcute]stica", FontWeight->"Bold"], ", que consiste en escribir de forma natural la operaci\[OAcute]n o pregunta \ (en un ingl\[EAcute]s b\[AAcute]sico) que queremos resolver y ", StyleBox["Mathematica", FontSlant->"Italic"], " intentar\[AAcute] darnos la respuesta. " }], "Text"], Cell[TextData[{ "Aunque ", StyleBox["Mathematica", FontSlant->"Italic"], " dispone de miles de instrucciones con sus correspondientes opciones, puede \ comenzar a utilizarse desde los primeros minutos. Esto es particularmente \ cierto cuando se utiliza la forma ling\[UDoubleDot]\[IAcute]stica, como se \ muestra debajo. " }], "Text"], Cell["\<\ Los ejemplos que siguen en este apartado es solo para que los vea, en el \ siguiente le mostraremos como puede introducirlo Ud mismo.\ \>", "Text"], Cell[TextData[{ "En este ejemplo el usuario quiere resolver la ecuacion", Cell[BoxData[ FormBox[ RowBox[{" ", RowBox[{ RowBox[{ RowBox[{"3", " ", SuperscriptBox["x", "2"]}], " ", "+", " ", RowBox[{"2", " ", "x"}], " ", "-", " ", "4"}], " ", "=", " ", "0"}]}], TraditionalForm]]], ", y escribe casi literalmente lo que busca (la limitaci\[OAcute]n, por \ ahora, es que debe estar en ingl\[EAcute]s) y ", StyleBox["Mathematica", FontSlant->"Italic"], " muestra: a) La sintaxis correcta en ", StyleBox["Mathematica ", FontSlant->"Italic"], "y b) El resultado exacto y la aproximaci\[OAcute]n decimal." }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ NamespaceBox["WolframAlphaQueryResults", DynamicModuleBox[{Typeset`q$$ = "Solve 3 x^2 + 2 x - 4 = 0", Typeset`opts$$ = { AppearanceElements -> {"Extrusion", "Warnings", 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", FontSlant->"Italic"], "Cada celda constituye una unidad con sus propias propiedades (Formatos, \ celda evaluable, etc). Para ver qu\[EAcute] tipo de celda es, posicione el \ cursor dentro de ella o en la marca de celda. En ", StyleBox["recuadro de estilos", FontSlant->"Italic"], " aparece indicado el tipo de celda (Text, Input, Title ...). En este mismo \ recuadro podemos variar el formato de la celda. Escriba en una celda un texto \ y pruebe a variar el estilo de la celda." }], "Text", Evaluatable->False], Cell[" Esta celda es de tipo Program.", "Program", Evaluatable->False], Cell[TextData[{ "Al crear un notebook en blanco, \[EAcute]ste tiene un estilo (tipos de \ celda, letras, etc.) que asigna a cada tipo de celda unas propiedades \ (evaluable, editable, etc.). Cuando se crea por primera vez un notebook ", StyleBox["Mathematica", FontSlant->"Italic"], " asigna un estilo que denomina ", StyleBox["Default", FontSlant->"Italic"], " (por defecto). M\[AAcute]s adelante veremos como elegir otros estilos. En \ el estilo ", StyleBox["Default,", FontSlant->"Italic"], " cuando se crea una celda nueva, \[EAcute]sta es de tipo ", StyleBox["Input,", FontSlant->"Italic"], " que es el que normalmente se utiliza para realizar c\[AAcute]lculos. En \ una celda tipo \"", StyleBox["Input", FontSlant->"Italic"], "\" una vez introducido un contenido, al ser evaluado generar\[AAcute] una \ celda tipo salida (\"", StyleBox["Out", FontSlant->"Italic"], "\") donde ver\[AAcute] el resultado del c\[AAcute]lculo. " }], "Text", Evaluatable->False], Cell[TextData[{ "Para ejecutar una celda ", StyleBox["Input", FontSlant->"Italic"], " seleccione la celda (poniendo el cursor del rat\[OAcute]n en la marca de \ celda) y pulse ", StyleBox["[", "Input", FontFamily->"Courier New", FontWeight->"Bold"], StyleBox["\[DoubleUpArrow]", "Input"], StyleBox["]", "Input", FontFamily->"Courier New", FontWeight->"Bold"], StyleBox["+[Entrar] ", FontFamily->"Courier New", FontWeight->"Bold"], "o ", StyleBox["[Entrar] ", FontFamily->"Courier New", FontWeight->"Bold"], "en el teclado num\[EAcute]rico. Tambi\[EAcute]n puede desplegar el men\ \[UAcute] contextual con el bot\[OAcute]n derecho del rat\[OAcute]n, entonces \ seleccione \"Evaluate Cell\". " }], "Text", CellFrame->{{0.5, 3}, {3, 0.5}}, Evaluatable->False], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"2", "+", "2"}]], "Input"], Cell[BoxData["4"], "Output"] }, Open ]], Cell[TextData[{ "Las instrucciones escritas en una misma ", StyleBox["celda", FontSlant->"Italic"], " se ejecutar\[AAcute]n secuencialmente. Si al final de una instrucci\ \[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 (", StyleBox["input", FontSlant->"Italic"], ") podemos incluir uno o varios comentarios, escribi\[EAcute]ndolos de la \ siguiente forma: (* comentario *). No obstante, se recomienda incluir los \ comentarios en celdas diferentes en formato texto, recuerde que ello puede \ hacerlo eligiendo ", StyleBox["Text", FontSlant->"Italic"], " en el ", StyleBox["recuadro de estilos", FontSlant->"Italic"], "." }], "Text", Evaluatable->False], Cell[TextData[{ "Para abrir una nueva celda basta con posicionar el curso debajo de la \ 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 ", StyleBox["[Alt]", FontFamily->"Courier New", FontWeight->"Bold"], "+", StyleBox["[Entrar]", FontFamily->"Courier New", FontWeight->"Bold"], "." }], "Text", Evaluatable->False], Cell[TextData[{ "Para facilitar la escritura ", StyleBox["Mathematica", FontSlant->"Italic"], " dispone de ", StyleBox["Palettes", FontWeight->"Bold"], " (paletas). Estas se cargan desde el men\[UAcute] principal pulsando en ", StyleBox["Palettes ", FontWeight->"Bold"], "y seleccionando una de las disponibles. Para facilitar la escritura de s\ \[IAcute]mbolos matem\[AAcute]ticos es conveniente cargar la paleta ", StyleBox["Basic Math Assistant", FontWeight->"Bold"], " u ", StyleBox["Other", FontWeight->"Bold"], " ", "\[FilledRightTriangle]", " ", StyleBox[" ", FontColor->GrayLevel[0]], StyleBox["Basic Math Input", FontWeight->"Bold", FontColor->GrayLevel[0]], StyleBox[". ", FontSlant->"Italic"], "Es conveniente que a partir de ahora tenga una de ellas abierta. Tambi\ \[EAcute]n puede utilizar atajos de teclado. Los m\[AAcute]s \[UAcute]tiles \ son: sub\[IAcute]ndice [", StyleBox["Ctrl]", FontFamily->"Courier New", FontWeight->"Bold"], "+[ _ ] , super\[IAcute]ndice", StyleBox[" [", FontWeight->"Bold"], StyleBox["Ctrl]+[^] o ", FontFamily->"Courier New", FontWeight->"Bold"], "[", StyleBox["Ctrl]+[6]", FontFamily->"Courier New", FontWeight->"Bold"], ", fracci\[OAcute]n [", StyleBox["Ctrl]", FontFamily->"Courier New", FontWeight->"Bold"], " + [/] y radical [", StyleBox["Ctrl]+[2] ", FontFamily->"Courier New", FontWeight->"Bold"], "(Dependiendo de la configuraci\[OAcute]n de su teclado puede que para \ utilizar alguno de los s\[IAcute]mbolos anteriores tenga que anteponer ", StyleBox["[", "Input", FontFamily->"Courier New", FontWeight->"Bold"], StyleBox["\[DoubleUpArrow]", "Input"], StyleBox["]", "Input", FontFamily->"Courier New", FontWeight->"Bold"], ", por ejemplo: super\[IAcute]ndice", StyleBox[" [", FontWeight->"Bold"], StyleBox["Ctrl]", FontFamily->"Courier New", FontWeight->"Bold"], "+", StyleBox["[", "Input", FontFamily->"Courier New", FontWeight->"Bold"], StyleBox["\[DoubleUpArrow]", "Input"], StyleBox["]", "Input", FontFamily->"Courier New", FontWeight->"Bold"], StyleBox["+[^]", FontFamily->"Courier New", FontWeight->"Bold"], StyleBox[").", FontFamily->"Courier New"] }], "Text", Evaluatable->False], 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. \ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ FractionBox[ RowBox[{"4", " ", "5"}], "5"], "+", SqrtBox["4"], "-", SuperscriptBox["3", "2"]}]], "Input", PageWidth->Infinity], Cell[BoxData[ RowBox[{"-", "3"}]], "Output"] }, Open ]], Cell[TextData[{ "La celda ", StyleBox["Input", FontSlant->"Italic"], " anterior est\[AAcute] escrita en la forma est\[AAcute]ndar (", StyleBox["StandardForm", FontSlant->"Italic"], "). Es la utilizada por defecto en las celdas ", StyleBox["Input", FontSlant->"Italic"], ". Para comprobarlo posicione el cursor en la marca de celda y en la barra \ de men\[UAcute] elija: ", StyleBox["File", FontWeight->"Bold"], "\[FilledRightTriangle] ", StyleBox["Conver To", FontWeight->"Bold"], " ", "\[FilledRightTriangle]", ". Entonces deber\[AAcute] aparecer resaltado ", StyleBox["StandardForm.", FontSlant->"Italic"] }], "Text"], Cell[TextData[{ "Tambi\[EAcute]n pueden escribirse expresiones sin necesidad de recurrir a s\ \[IAcute]mbolos especiales utilizando la forma: ", StyleBox["InputForm", FontSlant->"Italic"], ". Es muy similar a la utilizada por otros lenguajes de \ programaci\[OAcute]n, como C, Fortran o Basic. Por ejemplo: multiplicaci\ \[OAcute]n = \" * \" (El s\[IAcute]mbolo * podemos substituirlo por un \ espacio en blanco), divisi\[OAcute]n = \" / \", suma = \" + \", y resta \" = \ \" , potencias =\" ^ \", ", StyleBox["ra\[IAcute]z ", FontColor->GrayLevel[0]], "cuadrada de a = \" Sqrt[a] \". " }], "Text"], Cell[TextData[{ "En ", StyleBox["InputForm ", FontSlant->"Italic"], "la expresi\[OAcute]n anterior se escribe: " }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ StyleBox[ RowBox[{ RowBox[{ RowBox[{"(", RowBox[{"4", "*", "5"}], ")"}], "/", "5"}], " ", "+", " ", RowBox[{"Sqrt", "[", "4", "]"}], " ", "-", " ", RowBox[{"3", "^", "2"}]}], "Input"]], "Input"], Cell[BoxData[ RowBox[{"-", "3"}]], "Output"] }, Open ]], Cell[TextData[{ "Es el c\[AAcute]lculo simb\[OAcute]lico lo que hizo popular, inicialmente \ en el mundo acad\[EAcute]mico, a ", StyleBox["Mathematica", FontSlant->"Italic"] }], "Text"], Cell[TextData[{ "Como ejemplo, en una celda input escriba (ay\[UAcute]dese de una paleta \ para trascribir el contenido) en la forma ", StyleBox["est\[AAcute]ndar", FontColor->GrayLevel[0]], " lo siguiente y ejec\[UAcute]tela." }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ SubscriptBox["\[PartialD]", RowBox[{"x", ",", "y"}]], RowBox[{"Sin", "[", RowBox[{"x", " ", SqrtBox["y"]}], "]"}]}]], "Input"], Cell[BoxData[ RowBox[{ FractionBox[ RowBox[{"Cos", "[", RowBox[{"x", " ", SqrtBox["y"]}], "]"}], RowBox[{"2", " ", SqrtBox["y"]}]], "-", RowBox[{ FractionBox["1", "2"], " ", "x", " ", RowBox[{"Sin", "[", RowBox[{"x", " ", SqrtBox["y"]}], "]"}]}]}]], "Output"] }, Open ]], Cell[TextData[{ "El c\[AAcute]lculo anterior tambi\[EAcute]n podemos mostrarlo en notaci\ \[OAcute]n cl\[AAcute]sica de las matem\[AAcute]ticas. En ", StyleBox["Mathematica", FontSlant->"Italic"], " se denomina ", StyleBox["TraditionalForm.", FontSlant->"Italic"] }], "Text"], Cell[TextData[{ "Copie la celda ", StyleBox["input", FontSlant->"Italic"], " de arriba en una nueva celda y en la barra de men\[UAcute] eleja ", StyleBox["Cell", FontWeight->"Bold"], " \[FilledRightTriangle]", StyleBox["Convert To", FontWeight->"Bold"], " ", "\[FilledRightTriangle]", " ", StyleBox["TraditionalForm", FontWeight->"Bold"], ". A\[NTilde]ada ", StyleBox["// TraditionalForm", "Input"], " para indicar que el resultado tambi\[EAcute]n se nos muestre en notaci\ \[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." }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ FormBox[ RowBox[{ FractionBox[ RowBox[{ StyleBox[ SuperscriptBox["\[PartialD]", "2"], FontColor->GrayLevel[0]], RowBox[{"sin", "(", RowBox[{"x", " ", SqrtBox["y"]}], ")"}]}], RowBox[{ RowBox[{"\[PartialD]", "x"}], "\[ThinSpace]\[ThinSpace]", RowBox[{"\[PartialD]", "y"}]}], MultilineFunction->None], "//", "TraditionalForm"}], TraditionalForm]], "Input"], Cell[BoxData[ FormBox[ RowBox[{ FractionBox[ RowBox[{"cos", "(", RowBox[{"x", " ", SqrtBox["y"]}], ")"}], RowBox[{"2", " ", SqrtBox["y"]}]], "-", RowBox[{ FractionBox["1", "2"], " ", "x", " ", RowBox[{"sin", "(", RowBox[{"x", " ", SqrtBox["y"]}], ")"}]}]}], TraditionalForm]], "Output"] }, Open ]], Cell[TextData[{ "La forma tradicional anterior ocupa muchos recursos de ordenador. Adem\ \[AAcute]s puede que le d\[EAcute] problemas de conversi\[OAcute]n si el \ fichero es le\[IAcute]do en una versi\[OAcute]n anterior de ", StyleBox["Mathematica", FontSlant->"Italic"], ". Es recomendable usar la forma ", StyleBox["StandardForm", FontSlant->"Italic"], " o ", StyleBox["InputForm", FontSlant->"Italic"], " y reservar la tradicional para aquellos casos en los que se requiera \ editar el documento en alta calidad. " }], "Text"], Cell[TextData[{ "Con Windows 7 y 8 puede introducir los datos escribi\[EAcute]ndolos \ \"manualmente\" utilizando una tableta o una pizarra electr\[OAcute]nica. \ Para ello en la barra de men\[UAcute] seleccione ", StyleBox["Window", FontWeight->"Bold"], " \[FilledRightTriangle] ", StyleBox["Show Handwriting Input ", FontWeight->"Bold"], "y escriba lo que desee. Si no aparece esta opci\[OAcute]n en el \ men\[UAcute] de ", StyleBox["Mathematica", FontSlant->"Italic"], ", puede abrirlo directamente en el men\[UAcute] de programas de Windows: ", StyleBox["Todos los programas", FontWeight->"Bold"], "\[FilledRightTriangle]", StyleBox["Accesorios", FontWeight->"Bold"], "\[FilledRightTriangle]", StyleBox[" Panel de entrada matem\[AAcute]tica", FontWeight->"Bold"], "." }], "Text"], Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" 1:eJztnQd41Ga6733Ouc+959znnHv37N1N2SW7aUuym9BLCFkgkBAINQnFCc1A CAESnBAwhE5opneMjbFxAeOCAeNu3I0rxsYNF2zcK2640A33G8kzo6nSzEia kf3/PW/8yBrpr/fTWL98Go+HNxb/9NXif7OysnL6FyurE+Q/2XIhg6EAAGCR 9OnT55VXXinUgDw0bty48PDwysrKFwAAYGE8e/bsTn3jnz+Z9IeXXmKK6/Dh w1VVVY5Bt1AoFMpiK7v1oc/tMoW+yIyLiMspKAuFQqEsvOKaO/vMnEtPusit olNwFgqFQkmiLtV3vPLKK8RdlZWVp0OyUSgUShLlW9/Zp08f4q6HDx86h+ag UCiUJMqrtoP+5eOLFy9cwnJRKBRKEuVeo3SXa3guCoVCSaLOVCvddTbiNgqF QkmiTlV1Ktzlfi3flOo3bPxLf3nbxBAUCiW5cvOKnD9q6id/eJPfIpkkWddB 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True], Selectable->False], BaseStyle->"ImageGraphics", ImageSize->{239.5, Automatic}, ImageSizeRaw->{404, 409}, PlotRange->{{0, 404}, {0, 409}}]], "Text"], Cell[TextData[{ "Desde ", StyleBox["Mathematica", FontSlant->"Italic"], " 8 es posible introducir los datos en un formato muy flexible (que vamos a \ llamar ", StyleBox["ling\[UDoubleDot]\[IAcute]stico", FontWeight->"Bold"], ") consistente en escribir de forma natural la operaci\[OAcute]n que \ queremos realizar. La limitaci\[OAcute]n m\[AAcute]s importante es que debe \ estar escrito en ingl\[EAcute]s. Para ello escriba \[OpenCurlyDoubleQuote]", StyleBox["=\[CloseCurlyDoubleQuote] al inicio de la celda (tipo input)", "KeyEvent"], " y observar\[AAcute] que aparece ", Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBLECOU2VJahIzkMEHxLxADGL/B4Ic BgKIGDU0RVgB2cpGjtsoj9b//wGDAjwg "], {{0, 14}, {13, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], Selectable->False], BaseStyle->"ImageGraphics", ImageSize->Magnification[1], ImageSizeRaw->{13, 14}, PlotRange->{{0, 13}, {0, 14}}]]], " . Entonces escriba la operaci\[OAcute]n que desea realizar. Su instrucci\ \[OAcute]n se convertir\[AAcute] autom\[AAcute]ticamente a notaci\[OAcute]n \ est\[AAcute]ndar de ", StyleBox["Mathematica", FontSlant->"Italic"], ", y a continuaci\[OAcute]n se mostrar\[AAcute] la soluci\[OAcute]n. Veamos \ algunos ejemplos." }], "Text"], Cell["\<\ Para sumar de 1 a 10 puede escribir \[OpenCurlyDoubleQuote]sum 1 to 10\ \[CloseCurlyDoubleQuote] u otra expresi\[OAcute]n inglesa equivalente como \ \[OpenCurlyDoubleQuote]sum from 1 to 10\[CloseCurlyDoubleQuote] u otra similar\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ NamespaceBox["WolframAlphaQueryResults", DynamicModuleBox[{Typeset`q$$ = "sum from 1 to 10", Typeset`opts$$ = { AppearanceElements -> {"Extrusion", "Warnings", "Assumptions", "Pods"}, Asynchronous -> All, Method -> { "ExtrusionChosen" -> { "Result", "Sum", 1, 1, "Input", "Sum[i, {i, 1, 10}]"}, "Formats" -> {"cell", "minput", "moutput", "msound", "dataformats"}}}, Typeset`elements$$ = {"Extrusion", "Warnings", "Assumptions", "Pods"}, Cell$$4091`pod1$$ = XMLElement[ "pod", {"title" -> "Sum", "scanner" -> "Sum", "id" -> "Result", "position" -> "100", "error" -> "false", "numsubpods" -> "1", "primary" -> "true"}, { XMLElement["subpod", {"title" -> ""}, { 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Typeset`initdone$$ = True], SynchronousInitialization->False], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]], "WolframAlphaShortInput"], Cell[BoxData["55"], "Output"] }, Open ]], Cell[TextData[{ "Si pulsa en el s\[IAcute]mbolo ", StyleBox["+", FontWeight->"Bold", FontColor->RGBColor[1., 1., 1.], Background->RGBColor[1., 0.5019607843137255, 0.]], " que aparece en la esquina superior derecha, se mostrar\[AAcute] informaci\ \[OAcute]n adicional sobre la operaci\[OAcute]n realizada." }], "Text"], Cell[TextData[{ "Tambi\[EAcute]n puede escribir la operaci\[OAcute]n colocando el cursor al \ inicio de la celda tipo input. Entonces, ", StyleBox["en la barra de men\[UAcute], elija ", "KeyEventDelimiter"], StyleBox["Insert ", "KeyEventDelimiter", FontWeight->"Bold"], "\[FilledRightTriangle]", StyleBox[" ", "KeyEventDelimiter"], " ", StyleBox["Inline Free-form Input ", FontWeight->"Bold"], "(o, en algunos teclados, [", StyleBox["Ctrl]", "KeyEvent"], StyleBox["+[=] ) o ", "KeyEventDelimiter"], "y se mostrar\[AAcute] la entrada en la notaci\[OAcute]n est\[AAcute]ndar de \ ", StyleBox["Mathematica.", FontSlant->"Italic"], " " }], "Text"], Cell[TextData[{ "En el siguiente ejemplo utilizamos el formato \[OpenCurlyDoubleQuote]Inline \ Free-form Input\[CloseCurlyDoubleQuote], observe que ademas de darnos el \ resultado nos muestra la entrada en notaci\[OAcute]n ", StyleBox["Mathematica", FontSlant->"Italic"], " que podemos copiar y utilizar como plantilla." }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ NamespaceBox["LinguisticAssistant", DynamicModuleBox[{WolframAlphaClient`Private`query$$ = " Minimize x^2 -x + 1 with x>0 and x<10", WolframAlphaClient`Private`boxes$$ = RowBox[{"Minimize", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"x", "^", "2"}], " ", "-", " ", "x", " ", "+", " ", "1"}], ",", " ", RowBox[{ RowBox[{"x", " ", ">", " ", "0"}], " ", "&&", " ", RowBox[{"x", " ", "<", " ", "10"}]}]}], "}"}], ",", " ", RowBox[{"{", "x", "}"}]}], "]"}], WolframAlphaClient`Private`allassumptions$$ = {}, WolframAlphaClient`Private`assumptions$$ = {}, WolframAlphaClient`Private`open$$ = {1, 2}}, DynamicBox[ToBoxes[ AlphaIntegration`LinguisticAssistantBoxes["", 1, Dynamic[WolframAlphaClient`Private`query$$], Dynamic[WolframAlphaClient`Private`boxes$$], Dynamic[WolframAlphaClient`Private`allassumptions$$], Dynamic[WolframAlphaClient`Private`assumptions$$], Dynamic[WolframAlphaClient`Private`open$$]], StandardForm], ImageSizeCache->{675., {42., 52.}}], DynamicModuleValues:>{}], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]], "Input"], Cell[BoxData[ RowBox[{"{", RowBox[{ FractionBox["3", "4"], ",", RowBox[{"{", RowBox[{"x", "\[Rule]", FractionBox["1", "2"]}], "}"}]}], "}"}]], "Output"] }, Open ]], Cell[TextData[{ "Si lo desea pulse en la punta de flecha que aparece en el recuadro superior \ derecho y s\[OAcute]lo se mostrar\[AAcute] la entrada en la notaci\[OAcute]n \ est\[AAcute]ndar de ", StyleBox["Mathematica.", FontSlant->"Italic"], " " }], "Text"], Cell[TextData[{ "Hay una posibilidad adicional de introducir los datos y es lo que se \ denomina el estilo ", Cell[BoxData[ FormBox[ ButtonBox[ RowBox[{" ", RowBox[{"Wolfram", "|", "Alpha"}]}], BaseStyle->"Hyperlink", ButtonData->{ URL["http://www.wolframalpha.com/"], None}], TextForm]]], " que adem\[AAcute]s del resultado nos mostrar\[AAcute] informaci\[OAcute]n \ relacionada. Pruebe a escribir un doble igual \[OpenCurlyDoubleQuote]", StyleBox["==\[CloseCurlyDoubleQuote]", "KeyEvent"], " al inicio de una celda tipo input. 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" }], "Text"], Cell[TextData[{ "Adem\[AAcute]s de las formas que se han descrito para definir el tipo de \ celda existe otra que consiste en poner el cursor inmediatamente tras la \ celda en la que quiere a\[NTilde]adir una nueva celda. Ver\[AAcute] un \ \[OpenCurlyDoubleQuote]+\[OpenCurlyDoubleQuote] a la izquierda. 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" }], "Text"], Cell["\<\ hiperlink1 (esta celda previamente le habrimos a\[NTilde]adido una marca para \ poder enlazarla desde un punto hiperlink1 antes definido) \ \>", "Text", CellTags->"hiperlink1"], Cell[TextData[{ "Podemos usar cualquier ", StyleBox["fuente", FontFamily->"Courier", FontSize->13], ", ", StyleBox["aspecto", FontFamily->"Helvetica", FontWeight->"Bold"], ",", StyleBox[" tama\[NTilde]o", FontSize->24], StyleBox[", ", FontSize->16], StyleBox["color", FontFamily->"Helvetica", FontSize->16, FontWeight->"Bold", FontColor->RGBColor[1, 0, 0]], StyleBox[", ", FontSize->16], "etc. Podemos usar caracteres especiales como ", StyleBox["\[Wolf]", FontSize->16], " al igual que f\[OAcute]rmulas como ", Cell[BoxData[ FormBox[ RowBox[{"\[Integral]", RowBox[{ FractionBox["1", RowBox[{ SuperscriptBox["x", "5"], "-", "1"}]], RowBox[{"\[DifferentialD]", "x"}]}]}], TraditionalForm]]], " incrustadas en el texto." }], "Text"], Cell[TextData[{ StyleBox["Mathematica", FontSlant->"Italic"], " hace muy f\[AAcute]cil crear tablas y arrays. 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que buscamos." }], "Text"], 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"], Cell["\"Esto es un texto\" (La celda debe ser de texto)", "Text"], Cell["Tambien podremos recurrir a enlaces externos como", "Text"] }, Open ]], Cell[CellGroupData[{ Cell["Un breve introduccion al uso del programa", "Section"], Cell[TextData[{ "A continuaci\[OAcute]n se van a mostrar varias de la posibilidades del ", StyleBox["Mathematica", FontSlant->"Italic"], " con ejemplos. Estos se har\[AAcute]n utilizando instrucciones del ", StyleBox["Mathematica", FontSlant->"Italic"], " 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 . " }], "Text", Evaluatable->False], Cell[CellGroupData[{ Cell["Ideas b\[AAcute]sicas", "Subsection"], Cell[TextData[{ "Las funciones ", StyleBox["Mathematica", FontSlant->"Italic"], " siempre empiezan con una letra en mayuscula." }], "Text", CellDingbat->"\[FilledSquare]"], Cell["Los argumentos se escriben entre corchetes.", "Text", CellDingbat->"\[FilledSquare]"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"N", "[", RowBox[{"Pi", ",", " ", "4"}], "]"}]], "Input"], Cell[BoxData["3.14159265358979323846264338327950419993`4."], "Output"] }, Open ]], Cell[TextData[{ "La estructura b\[AAcute]sica de ", StyleBox["Mathematica", FontSlant->"Italic"], " es la lista. Los elementos de una lista pueden ser n\[UAcute]meros, \ variables, funciones, cadenas, sublistas o cualquier combinaci\[OAcute]n de \ ellas; se escriben dentro de llaves {} y van separados por comas. Si nos \ sentimos c\[OAcute]modos con la terminolog\[IAcute]a cl\[AAcute]sica de matem\ \[AAcute]ticas podemos interpretar una lista sencilla como un vector, una \ lista bidimensional (lista con sublistas) como una matriz, y una lista de \ tres o m\[AAcute]s dimensiones como un tensor." }], "Text", CellDingbat->"\[FilledSquare]"], Cell["Debajo definimos una lista formada por tres sublistas. ", "Text"], Cell[BoxData[ RowBox[{ RowBox[{"lista", "=", RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{"2", ",", " ", "3", ",", " ", "6"}], "}"}], ",", " ", RowBox[{"{", RowBox[{"3", ",", "1", ",", "5"}], "}"}], ",", RowBox[{"{", RowBox[{"4", ",", "3", ",", "7"}], "}"}]}], "}"}]}], ";"}]], "Input"], Cell[TextData[{ StyleBox["La misma lista anterior podemos mostrarla en notaci\[OAcute]n \ tradicional (a\[NTilde]adiendo ", FontColor->GrayLevel[0]], "//TraditionalForm", StyleBox[") y vemos que adopta la forma de matriz, pero no debemos olvidar \ que internamente ", FontColor->GrayLevel[0]], StyleBox["Mathematica", FontSlant->"Italic", FontColor->GrayLevel[0]], StyleBox[" la trata como una lista.", FontColor->GrayLevel[0]] }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"lista", "//", "TraditionalForm"}]], "Input"], Cell[BoxData[ FormBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"2", "3", "6"}, {"3", "1", "5"}, {"4", "3", "7"} }, GridBoxAlignment->{ "Columns" -> {{Center}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, "RowsIndexed" -> {}}, GridBoxSpacings->{"Columns" -> { Offset[0.27999999999999997`], { Offset[0.7]}, Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> { Offset[0.2], { Offset[0.4]}, Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], TraditionalForm]], "Output"] }, Open ]], Cell[TextData[{ "En muchas funciones de ", StyleBox["Mathematica", FontSlant->"Italic"], " los datos sobre los que aplican se estriben como una lista. En el ejemplo \ se c\[AAcute]lcula la media de un conjunto de valors" }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Mean", "[", RowBox[{"{", RowBox[{"23", ",", " ", "4", ",", "7"}], "}"}], "]"}]], "Input"], Cell[BoxData[ FractionBox["34", "3"]], "Output"] }, Open ]], Cell["\<\ A veces es conveniente ponerle un nombre a un valor o expresi\[OAcute]n para \ utlizarlo mas adelante. Es lo que se denomina asignaci\[OAcute]n.\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"a", " ", "=", " ", "3"}]], "Input"], Cell[BoxData["3"], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"b", " ", "=", " ", "5"}]], "Input"], Cell[BoxData["5"], "Output"] }, Open ]], Cell["\<\ Observe que al utilizar una expresi\[OAcute]n donde aparecen a y b, se \ reemplazan por las asignaciones antes realizadas.\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"a", " ", RowBox[{"Cos", "[", "b", "]"}]}]], "Input"], Cell[BoxData[ RowBox[{"3", " ", RowBox[{"Cos", "[", "5", "]"}]}]], "Output"] }, Open ]], Cell[TextData[{ "Observe que en el ultimo caso ", StyleBox["Cos[5]", "Input"], " no se c\[AAcute]lcula, es asi pues ", StyleBox["Mathematica", FontSlant->"Italic"], " solo calcula si el resultado es exacto y ", StyleBox["Cos[5]", "Input"], " no lo tiene (pues tiene infinitos decimales). Si quiere la aproximaci\ \[OAcute]n decimal a\[NTilde]ada al final", StyleBox[" //N", "Input"], " o escriba ", StyleBox["N[ ]", "Input"] }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"a", " ", RowBox[{"Cos", "[", "b", "]"}]}], "//", "N"}]], "Input"], Cell[BoxData["0.8509865563896788`"], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"N", "[", RowBox[{"a", " ", RowBox[{"Cos", "[", "b", "]"}]}], "]"}]], "Input"], Cell[BoxData["0.8509865563896788`"], "Output"] }, Open ]], 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\ \>", "Text"], Cell["\<\ Escribe una funcion y pulse Crt + May + K , observe como se muestran los \ argumentos b\[AAcute]sicos de la funci\[OAcute]n\ \>", "Text"], Cell[BoxData["Plot"], "Input"], 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"], Cell[BoxData["Find"], "Input"], Cell["\<\ Otra forma de obtener ayuda es (suponga que quiere calcular un minimo, pruebe \ a busca funciones que incluyan \[OpenCurlyDoubleQuote]mini\ \[CloseCurlyDoubleQuote])\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"?", "*Mini*"}]], "Input"], Cell[BoxData[ DynamicModuleBox[{Typeset`open$$ = True}, PaneSelectorBox[{False-> RowBox[{ OpenerBox[Dynamic[Typeset`open$$], ImageSize->Small], StyleBox["System`", "InfoHeading"]}], True->GridBox[{ { RowBox[{ OpenerBox[Dynamic[Typeset`open$$], ImageSize->Small], StyleBox["System`", "InfoHeading"]}]}, {GridBox[{ { ButtonBox["BooleanMinimize", BaseStyle->"InformationLink", ButtonData:>{ "Info3525876182-6054913", {"BooleanMinimize", "System`"}}, ButtonNote->"System`"], ButtonBox["FindMinimum", BaseStyle->"InformationLink", ButtonData:>{"Info3525876182-6054913", {"FindMinimum", "System`"}}, ButtonNote->"System`"], ButtonBox["MinimalStateSpaceModel", BaseStyle->"InformationLink", ButtonData:>{ "Info3525876182-6054913", {"MinimalStateSpaceModel", "System`"}}, ButtonNote->"System`"], ButtonBox["NMinimize", BaseStyle->"InformationLink", ButtonData:>{"Info3525876182-6054913", {"NMinimize", "System`"}}, ButtonNote->"System`"]}, { ButtonBox["DigitBlockMinimum", BaseStyle->"InformationLink", ButtonData:>{ "Info3525876182-6054913", {"DigitBlockMinimum", "System`"}}, ButtonNote->"System`"], ButtonBox["MinimalPolynomial", BaseStyle->"InformationLink", ButtonData:>{ "Info3525876182-6054913", {"MinimalPolynomial", "System`"}}, ButtonNote->"System`"], ButtonBox["Minimize", BaseStyle->"InformationLink", ButtonData:>{"Info3525876182-6054913", {"Minimize", "System`"}}, ButtonNote->"System`"], ""} }, DefaultBaseStyle->"InfoGrid", GridBoxItemSize->{"Columns" -> {{ Scaled[0.2375]}}}]} }, GridBoxAlignment->{"Columns" -> {{Left}}, "Rows" -> {{Baseline}}}]}, Dynamic[Typeset`open$$], ImageSize->Automatic]]], "Print", "InfoCell"] }, Open ]], Cell["\<\ Pulse en alguna de las desplagadas y obtendra una breve ayuda de cada una de \ ellas, eso le permitira decidir cual utilizar.\ \>", "Text"], Cell["\<\ Para ver directamente las opciones de una funcion la forma es\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Options", "[", "FindMinimum", "]"}]], "Input"], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"AccuracyGoal", "\[Rule]", "Automatic"}], ",", RowBox[{"Compiled", "\[Rule]", "Automatic"}], ",", RowBox[{"EvaluationMonitor", "\[Rule]", "None"}], ",", RowBox[{"Gradient", "\[Rule]", "Automatic"}], ",", RowBox[{"MaxIterations", "\[Rule]", "Automatic"}], ",", RowBox[{"Method", "\[Rule]", "Automatic"}], ",", RowBox[{"PrecisionGoal", "\[Rule]", "Automatic"}], ",", RowBox[{"StepMonitor", "\[Rule]", "None"}], ",", RowBox[{"WorkingPrecision", "\[Rule]", "MachinePrecision"}]}], "}"}]], "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["Funciones ", "Subsection"], Cell[TextData[{ StyleBox["El uso de funciones, en el sentido que lo utiliza el ", FontFamily->"Times New Roman"], 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.", FontFamily->"Times New Roman"] }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"f", "[", "x_", "]"}], "=", " ", RowBox[{"0.2", " ", RowBox[{"Cos", "[", RowBox[{"0.3", " ", SuperscriptBox["x", "2"]}], "]"}]}]}]], "Input"], Cell[BoxData[ RowBox[{"0.2`", " ", RowBox[{"Cos", "[", RowBox[{"0.3`", " ", SuperscriptBox["x", "2"]}], "]"}]}]], "Output"] }, Open ]], 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"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"f", "[", "3", "]"}]], "Input"], Cell[BoxData[ RowBox[{"-", "0.18081442840341222`"}]], "Output"] }, Open ]], 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"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Plot", "[", RowBox[{ RowBox[{"f", "[", "x", "]"}], ",", RowBox[{"{", RowBox[{"x", ",", " ", "0", ",", " ", "10"}], "}"}]}], "]"}]], "Input"], Cell[BoxData[ GraphicsBox[{{}, {}, {Hue[0.67, 0.6, 0.6], LineBox[CompressedData[" 1:eJwcm3k4VV8XgIlkynBxTZc7kExJMiXaq0IRJUUaCCVDSJqjEjIrCUkZKoWQ ITLb5nuPKUqlqCQJURQhqu/8Pv943uecs4e119l7vdzLdD1m67aEi4srnZeL 67/fqRdd+dYcjt6Qcuu/HwKl1sXSlzIiUcgVtf+zt8kpn1n6LeTnnhz/Hz/p Gcic3nwHjWx0ufof/z5q1T/lno6SSy9F/McZ3P2Rs2Z3EfPHtaD/2LTj+opf r+8h/wdKp//jkeQt9dOemahxod7jP445/OfAz4UH6Hb6lz3/sbb2k7mp2CzU 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ejemplo:" }], "Text"], Cell[BoxData[ RowBox[{ RowBox[{"a", " ", "=", " ", "3"}], ";"}]], "Input"], Cell[BoxData[ RowBox[{ RowBox[{"b", "=", " ", "5"}], ";"}]], "Input"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"a", " ", "b"}]], "Input"], Cell[BoxData["15"], "Output"] }, Open ]], Cell[BoxData[ RowBox[{ RowBox[{"Clear", "[", "\"\\"", "]"}], " "}]], "Input"], Cell["\<\ Si escribe ahora lo mismo ver\[AAcute] que las asignaciones han desaparecido.\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"a", " ", "b"}]], "Input"], Cell[BoxData[ RowBox[{"a", " ", "b"}]], "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["Manipulate", "Subsection"], Cell[TextData[{ "Entre las mejoras de las \[UAcute]ltimas versiones de ", StyleBox["Mathematica", FontSlant->"Italic"], " ", StyleBox["est\[AAcute]", FontColor->GrayLevel[0]], " la incorporaci\[OAcute]n de instrucciones que permiten operar ", StyleBox["din\[AAcute]mica", FontColor->GrayLevel[0]], " e interact\[IAcute]vamente. Destaca la instrucci\[OAcute]n ", Cell[BoxData[ ButtonBox["Manipulate", BaseStyle->"Link", ButtonData->"paclet:ref/Manipulate"]]], ", como podemos comprobar en los siguientes ejemplos. " }], "Text"], Cell[TextData[{ "Escriba la sentencia de abajo. Observe que se crean barras deslizantes para \ cada uno de los par\[AAcute]metros que se definan. Pruebe a pulsar sobre el s\ \[IAcute]mbolo ", StyleBox["+", FontWeight->"Bold", FontColor->GrayLevel[1], Background->GrayLevel[0.5]], " incluido en la salida para mostrar los botones que crea ", StyleBox["Manipulate", "Input"], ". 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