(* Content-type: application/mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 7.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 145, 7] NotebookDataLength[ 1532749, 31865] NotebookOptionsPosition[ 1493162, 31222] NotebookOutlinePosition[ 1494884, 31281] CellTagsIndexPosition[ 1494841, 31278] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell["Introducci\[OAcute]n a Mathematica (Wolfram Language)", "Title", CellChangeTimes->{{3.4650439076578093`*^9, 3.465043911136609*^9}, { 3.4652829785934*^9, 3.465283009731*^9}, {3.4652830668738003`*^9, 3.4652830677942*^9}, {3.4943347875807652`*^9, 3.494334789924899*^9}, { 3.497937007406066*^9, 3.4979370103960695`*^9}, {3.5258684756706705`*^9, 3.5258684791650763`*^9}, {3.5584351926247587`*^9, 3.5584352052144785`*^9}, { 3.672047423495462*^9, 3.672047429739585*^9}},ExpressionUUID->"b2a0c167-3870-494b-9ba3-\ 17f2aea07f85"], Cell["Guillermo S\[AAcute]nchez (http://diarium.usal.es/guillermo). ", \ "Author", CellChangeTimes->{{3.4837890108305173`*^9, 3.4837890268484335`*^9}, { 3.4841327900220284`*^9, 3.4841328250710335`*^9}, {3.4938803434212866`*^9, 3.493880345854891*^9}, {3.493880437033063*^9, 3.4938805109303927`*^9}, { 3.4943348349314737`*^9, 3.494334836235548*^9}, 3.4943348689874215`*^9, { 3.5258703520807667`*^9, 3.5258703665585923`*^9}, {3.5584352295018682`*^9, 3.55843523162799*^9}, {3.5758908592255173`*^9, 3.57589088102425*^9}},ExpressionUUID->"29365657-ed3e-4063-9695-\ da0dea72a06c"], Cell["\<\ Dpto de Econom\[IAcute]a e Historia Econ\[OAcute]mica. Universidad de \ Salamanca. \ \>", "Department", CellChangeTimes->{{3.494334840667802*^9, 3.4943348428299255`*^9}, { 3.5258703775254116`*^9, 3.525870425074295*^9}, {3.558435208795684*^9, 3.5584352244525795`*^9}, {3.6719652354490213`*^9, 3.6719652817100363`*^9}, 3.762586198100376*^9},ExpressionUUID->"e723f295-679d-4883-9eab-\ 59b1eae63531"], Cell["\[CapitalUAcute]ltima actualizaci\[OAcute]n: 2019-03-27", "Date", CellChangeTimes->{{3.4804950674592*^9, 3.4804950764142*^9}, { 3.4840205136163263`*^9, 3.484020514579381*^9}, 3.4841328389768286`*^9, { 3.484197001843934*^9, 3.4841970035970345`*^9}, {3.484484113600335*^9, 3.484484115375437*^9}, {3.4845658596179986`*^9, 3.4845658603870425`*^9}, { 3.4847264654135156`*^9, 3.4847264659175444`*^9}, {3.4850951298189125`*^9, 3.485095130463949*^9}, {3.4852652346880302`*^9, 3.485265236231119*^9}, { 3.4938784575211115`*^9, 3.49387846220112*^9}, {3.494334845419073*^9, 3.494334847339183*^9}, {3.497934073980075*^9, 3.4979340845396786`*^9}, { 3.525868431990594*^9, 3.5258684404146085`*^9}, {3.5584353681828003`*^9, 3.558435374637169*^9}, {3.575891630344557*^9, 3.5758916358826237`*^9}, { 3.6719643037629766`*^9, 3.6719643120046997`*^9}, {3.7626602031145964`*^9, 3.7626602165023155`*^9}},ExpressionUUID->"6977fdf7-813b-455e-8f27-\ 80eb721f8f44"], Cell[TextData[{ "Los ejemplos utilizados en esta presentaci\[OAcute]n proceden la mayoria \ del libro del libro", ButtonBox[" Mathematica Beyond Mathematics: The Wolfram Language in the Real \ World .1st Edition", BaseStyle->"Hyperlink", ButtonData->{ URL["https://www.amazon.es/Mathematica-Beyond-Mathematics-Wolfram-\ Language/dp/149879629X"], None}, ButtonNote-> "https://www.amazon.es/Mathematica-Beyond-Mathematics-Wolfram-Language/dp/\ 149879629X"], ". Chapman and Hall/CRC.\nPara mas informaci\[OAcute]n y para acceder a \ otras presentaciones realizadas por el autor visite: \n", ButtonBox["http://diarium.usal.es/guillermo/mathematica/", BaseStyle->"Hyperlink", ButtonData->{ URL["http://diarium.usal.es/guillermo/mathematica/"], None}, ButtonNote->"http://diarium.usal.es/guillermo/mathematica/"] }], "Text", CellChangeTimes->{{3.483960843725966*^9, 3.4839609137319703`*^9}, { 3.575891117566497*^9, 3.575891210873442*^9}, {3.575891248580268*^9, 3.5758912485902686`*^9}, {3.6719649872522373`*^9, 3.6719650250275383`*^9}, { 3.7626637474945745`*^9, 3.7626638153227153`*^9}, {3.762663868923072*^9, 3.762663904241531*^9}}, FontSize->16,ExpressionUUID->"fa6ca236-ac6b-492e-a5c0-162f6f9d5665"], Cell[CellGroupData[{ Cell[BoxData["$Version"], "Input", CellChangeTimes->{{3.5758916399385834`*^9, 3.5758916573328047`*^9}}, CellLabel->"In[1]:=",ExpressionUUID->"6d1d65a5-1941-4571-b915-904438413435"], Cell[BoxData["\<\"11.3.0 for Microsoft Windows (64-bit) (March 7, \ 2018)\"\>"], "Output", CellChangeTimes->{3.5758916583936486`*^9, 3.6719638055370116`*^9, 3.7626081469804697`*^9}, CellLabel->"Out[1]=",ExpressionUUID->"0b9b3b88-fac7-472a-bd28-a4e7843f9507"] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "\[DownQuestion]Que es ", StyleBox["Mathematica", FontSlant->"Italic"], " ? " }], "Section", CellChangeTimes->{ 3.6720474157820454`*^9},ExpressionUUID->"8358ea93-cc8f-4909-bc76-\ 159c120824a0"], 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. De hecho se trata de un lenguaje de programaci\[OAcute]n \ denominado Wolfram Langueje: ", ButtonBox["https://www.wolfram.com/language/ .", BaseStyle->"Hyperlink", ButtonData->{ URL["https://www.wolfram.com/language/ "], None}, ButtonNote->"https://www.wolfram.com/language/ "] }], "Text", CellChangeTimes->{ 3.4837890646515956`*^9, {3.4941318588066463`*^9, 3.494132087596648*^9}, { 3.4942545258860617`*^9, 3.494254555338913*^9}, {3.4947616215457673`*^9, 3.4947616240729723`*^9}, 3.496486374436446*^9, {3.4964896124039035`*^9, 3.496489623573523*^9}, {3.496490404791695*^9, 3.49649041318451*^9}, { 3.4975295101089306`*^9, 3.497529523446931*^9}, {3.498118743107153*^9, 3.498118965147853*^9}, {3.498119053885928*^9, 3.498119192838876*^9}, { 3.498119223947655*^9, 3.4981192743055353`*^9}, {3.4981193502898817`*^9, 3.4981193650497255`*^9}, {3.498119567652314*^9, 3.49811960132324*^9}, { 3.498119812541321*^9, 3.498119825505062*^9}, 3.4981207420604863`*^9, { 3.5045522885896626`*^9, 3.504552299228882*^9}, {3.5150676516256747`*^9, 3.5150676520468755`*^9}, {3.5152319978041506`*^9, 3.515231998476017*^9}, { 3.5250945194720106`*^9, 3.5250945760689096`*^9}, {3.762663611960105*^9, 3.7626636690672154`*^9}, {3.762663710024708*^9, 3.7626637310558815`*^9}},ExpressionUUID->"00e10cd7-903f-479f-972e-\ efbd29863b58"], Cell["\<\ 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. \ \>", "Text", CellChangeTimes->{{3.483960843725966*^9, 3.4839608515124116`*^9}, { 3.483960929565876*^9, 3.4839611919328823`*^9}, 3.494132593149666*^9, 3.494132631666133*^9, {3.4941326861882286`*^9, 3.4941327523635454`*^9}, { 3.49413280064563*^9, 3.494132807540842*^9}, {3.4941330327116375`*^9, 3.4941331528786488`*^9}, {3.4941332253575287`*^9, 3.4941332668068013`*^9}, {3.4941334595607395`*^9, 3.4941334999336104`*^9}, {3.4941341935285587`*^9, 3.4941342217802086`*^9}, {3.494762155028981*^9, 3.4947621725634117`*^9}, { 3.4964897312137117`*^9, 3.496489732321314*^9}, {3.497531043372131*^9, 3.4975310553821306`*^9}, {3.498121371164469*^9, 3.4981213845322337`*^9}, { 3.5150681371921277`*^9, 3.5150681853026123`*^9}, {3.5256113567667313`*^9, 3.5256113567667313`*^9}, {3.5256114330196657`*^9, 3.525611483563754*^9}, { 3.525611596149152*^9, 3.525611677347295*^9}, {3.5256117372202*^9, 3.525611740574206*^9}},ExpressionUUID->"b4efedfc-4f8b-4209-a2a4-\ b26827ccf588"], Cell[TextData[{ "Para iniciar el programa, en el men\[UAcute] de inicio de programas de su \ sistema, pulse sobre el icono ", StyleBox["Mathematica", FontSlant->"Italic"], ". (Normalmente hay dos iconos elija ", StyleBox["Mathematica", FontSlant->"Italic"], " y no ", StyleBox["Mathematica", FontSlant->"Italic"], " Kernel)." }], "Text", CellChangeTimes->{{3.483960843725966*^9, 3.4839608515124116`*^9}, { 3.483960929565876*^9, 3.4839611919328823`*^9}, 3.494132593149666*^9, 3.494132631666133*^9, {3.4941326861882286`*^9, 3.4941327523635454`*^9}, { 3.49413280064563*^9, 3.494132807540842*^9}, {3.4941330327116375`*^9, 3.4941331528786488`*^9}, {3.4941332253575287`*^9, 3.4941332668068013`*^9}, {3.4941334595607395`*^9, 3.4941334999336104`*^9}, {3.4941341935285587`*^9, 3.4941342217802086`*^9}, {3.494762155028981*^9, 3.4947621725634117`*^9}, { 3.4964897312137117`*^9, 3.496489732321314*^9}, {3.497531043372131*^9, 3.4975310553821306`*^9}, {3.498121371164469*^9, 3.4981213845322337`*^9}, { 3.5150681371921277`*^9, 3.5150681853026123`*^9}, {3.5256113567667313`*^9, 3.5256113567667313`*^9}, {3.5256114330196657`*^9, 3.525611483563754*^9}, { 3.525611596149152*^9, 3.525611677347295*^9}, {3.5256117372202*^9, 3.5256118269203577`*^9}},ExpressionUUID->"5e454d00-2412-4006-a042-\ 7db617432881"], Cell["\<\ La ventana de bienvenida contiene varios hiperenlaces. Probablemente pueda \ resultarle muy \[UAcute]til hacer un recorrido por ellos \ \>", "Text", CellChangeTimes->{{3.494133295370451*^9, 3.4941333178968906`*^9}, { 3.4941333492373457`*^9, 3.494133361311767*^9}, {3.494133410264653*^9, 3.4941334268942823`*^9}, {3.4941335044576187`*^9, 3.494133526079256*^9}, { 3.4941335629421215`*^9, 3.4941336340470457`*^9}, 3.4941337981058593`*^9, { 3.494133828572713*^9, 3.494133904420046*^9}, 3.4941339371021037`*^9, 3.4941340589593153`*^9, {3.4942546963007607`*^9, 3.4942546968155613`*^9}, { 3.494762200487461*^9, 3.494762287286013*^9}, {3.496489807607046*^9, 3.4964898763251667`*^9}, {3.4991593392387934`*^9, 3.4991593423279705`*^9}, {3.499159436076332*^9, 3.4991596552218623`*^9}, { 3.4991597122541246`*^9, 3.499159812414853*^9}, 3.499159854302249*^9, { 3.4991600081910505`*^9, 3.4991600110522146`*^9}, 3.5001236267007914`*^9, { 3.5045524273363066`*^9, 3.504552444059536*^9}, 3.5102411269347687`*^9, { 3.51454666331277*^9, 3.5145467176476655`*^9}, {3.514546766257351*^9, 3.5145468480170946`*^9}, {3.514546888717566*^9, 3.5145469209004226`*^9}, 3.5145469659221015`*^9, {3.514548586526743*^9, 3.514548602578661*^9}, { 3.514548641768903*^9, 3.5145486423779373`*^9}, {3.5145486860654364`*^9, 3.514548908275146*^9}, 3.51455245106752*^9, {3.5145562431494813`*^9, 3.514556302226785*^9}, {3.5145563401192513`*^9, 3.5145564183221893`*^9}, { 3.5146134362741423`*^9, 3.5146134490661645`*^9}, {3.5146135493899407`*^9, 3.514613583663201*^9}, {3.5150682223058767`*^9, 3.515068223460279*^9}, { 3.515232556718871*^9, 3.51523256462502*^9}, {3.5758905136402082`*^9, 3.5758905289121847`*^9}, {3.6719651122986903`*^9, 3.6719651176250095`*^9}},ExpressionUUID->"7126dbab-b793-4a21-a6e2-\ c6a8935880d6"], Cell[TextData[{ StyleBox["Mathematica", FontSlant->"Italic"], " di\[OAcute] 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", CellChangeTimes->{{3.514613761565913*^9, 3.5146139523074484`*^9}, { 3.5150677447890387`*^9, 3.515067766894277*^9}, {3.5152321854579983`*^9, 3.515232212113907*^9}, {3.525696482925189*^9, 3.5256965168061266`*^9}, { 3.52569655531833*^9, 3.525696586420109*^9}, {3.525749464603792*^9, 3.5257495254126987`*^9}, {3.575890301121028*^9, 3.575890317337084*^9}, { 3.671965042807109*^9, 3.6719650438069825`*^9}, {3.762660335823032*^9, 3.7626603367136016`*^9}},ExpressionUUID->"d785cfad-8967-4cde-8918-\ 699fa9e7e4cb"], 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]],ExpressionUUID->"9b9ecbd5-4263-4738-80ee-18076c1ca889"], ", 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", CellChangeTimes->{ 3.4837890646515956`*^9, {3.4941318588066463`*^9, 3.494132087596648*^9}, { 3.494132193380434*^9, 3.494132312346243*^9}, 3.4941325356635647`*^9, { 3.4941326369701424`*^9, 3.4941326517901683`*^9}, {3.4942545993153906`*^9, 3.494254632793049*^9}, {3.4947616586582327`*^9, 3.4947617097327223`*^9}, { 3.496489642855157*^9, 3.4964896729944096`*^9}, {3.4981205167015963`*^9, 3.4981206003253794`*^9}, {3.5045523160301113`*^9, 3.5045523237365246`*^9}, {3.5102405906140933`*^9, 3.5102406260071173`*^9}, {3.5102406666024394`*^9, 3.5102406955550957`*^9}, {3.5102408857239723`*^9, 3.510240948985591*^9}, { 3.5102411351272373`*^9, 3.510241196507748*^9}, {3.5146139867055087`*^9, 3.514614010589151*^9}, {3.514614159850213*^9, 3.5146143232448997`*^9}, 3.514614597165781*^9, 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la web. Ejemplo:", ButtonBox[" http://oed.usal.es/webMathematica/CursoCeroEconomiaEmpresa/", BaseStyle->"Hyperlink", ButtonData->{ URL["http://oed.usal.es/webMathematica/CursoCeroEconomiaEmpresa/"], None}, ButtonNote->"http://oed.usal.es/webMathematica/CursoCeroEconomiaEmpresa/"] }], "Text", CellChangeTimes->{{3.762663323369767*^9, 3.7626634196351476`*^9}},ExpressionUUID->"bc039d67-4693-437c-9995-\ df88ce61cb24"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["\[DownQuestion]Que es un Notebook?", "Section",ExpressionUUID->"2ceddee4-8a57-4ee8-9b16-9e089e865926"], Cell[CellGroupData[{ Cell["\<\ Notebook de Mathematica es un documento completo e interactivo que combina \ texto, tablas, gr\[AAcute]ficos, c\[AAcute]lculos y otros elementos. \ \>", "Subsection", CellChangeTimes->{ 3.762660585153299*^9, {3.762660619063067*^9, 3.762660620478383*^9}},ExpressionUUID->"3e53b9f3-1cf8-413b-9672-\ bc2b27af93ff"], Cell[TextData[{ "Un elemento fundamental de ", StyleBox["Mathematica", FontSlant->"Italic"], " es el notebook o cuaderno. Este documento es un Notebool." }], "Text", CellChangeTimes->{{3.5258666273214846`*^9, 3.5258666528743296`*^9}, { 3.7626605492959228`*^9, 3.7626605798880315`*^9}},ExpressionUUID->"239413d1-7fc4-4d0f-8332-\ 248e1d296bc2"], Cell[TextData[{ "Adem\[AAcute]s de las posibilidades de c\[AAcute]lculo un aspecto \ importante es conocer el \"interface\" del ", StyleBox["Mathematica.", FontSlant->"Italic"], " La interacci\[OAcute]n con el ", StyleBox["Mathematica", FontSlant->"Italic"], " se realiza a traves del Front End, y este presenta los resultados en un un \ \"", StyleBox["Mathematica", FontSlant->"Italic"], " notebook\" (notebook podria traducirse por cuaderno pero prefermos \ mantener la denominaci\[OAcute]n original). Esto que esta mirando en este \ momento es un notebook." }], "Text", CellChangeTimes->{{3.484132966647131*^9, 3.484133036852146*^9}, 3.5258694012882957`*^9},ExpressionUUID->"3e7fb728-cd13-4ade-846b-\ 860307b4f2fd"], Cell[TextData[{ StyleBox["Mathematica", FontSlant->"Italic"], " notebooks tienen como proposito la presentaci\[OAcute]n de documentos que \ incluyan formulas, texto, gr\[AAcute]ficos, tablas animaciones y todo ello \ integrado en \[UAcute]nico documento o fichero interactivo (con extensi\ \[OAcute]n *.nb)." }], "Text", CellChangeTimes->{{3.484133044818602*^9, 3.4841330501399064`*^9}, { 3.525866681921581*^9, 3.5258666827639823`*^9}},ExpressionUUID->"d4bc73fb-a5d7-491f-8ab9-\ e2453cce41e2"], Cell["\<\ 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) . \ \>", "Text", CellChangeTimes->{ 3.4841329182463627`*^9},ExpressionUUID->"ba2a62f5-0058-4f4b-92b5-\ da41962a2cdd"], Cell[TextData[{ "En la barra de men\[UAcute] elija ", StyleBox["File", FontWeight->"Bold"], " \[FilledRightTriangle] ", StyleBox["New", FontWeight->"Bold"], " \[FilledRightTriangle] Notebook.nb. Se crear\[AAcute] Notebook o cuaderno \ en blanco que es el elemento fundamental para interactuar con ", StyleBox["Mathematica. ", FontSlant->"Italic"], "Tambi\[EAcute]n puede crearlo en la pantalla de bienvenida pulsando en la \ esquina superior izquierda en el icono Notebook. Un notebook se nos muestra \ inicialmente como una pantalla en blanco. En \[EAcute]l podremos ir \ escribiendo el texto y las instrucciones que deseemos. Procure desde el \ principio salvarlo. Puede hacerlo como en la mayor\[IAcute]a de los programas \ en la barra de menu: ", StyleBox["File", FontWeight->"Bold"], " \[FilledRightTriangle]", StyleBox["Save As", FontWeight->"Bold"], " \[FilledRightTriangle] \[OpenCurlyDoubleQuote]Nombre del fichero\ \[CloseCurlyDoubleQuote] (", StyleBox["Mathematica", FontSlant->"Italic"], " le asignar\[AAcute] por defecto la extensi\[OAcute]n .nb). 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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, CellChangeTimes->{{3.4837891978012114`*^9, 3.4837893558082485`*^9}, { 3.4837894058721123`*^9, 3.4837894324966354`*^9}, {3.4837895170304704`*^9, 3.4837895743657494`*^9}, {3.483789624179599*^9, 3.48378965601542*^9}, 3.494133451901126*^9, {3.494134235726633*^9, 3.4941343561015043`*^9}, { 3.4941343887835617`*^9, 3.4941344694513035`*^9}, {3.4941393151144543`*^9, 3.494139333694087*^9}, {3.494139368310548*^9, 3.49413937512776*^9}, { 3.4941394079658175`*^9, 3.4941398428165812`*^9}, {3.4941398737358356`*^9, 3.494139905871892*^9}, {3.494255989433832*^9, 3.4942561457929068`*^9}, { 3.49425617619736*^9, 3.4942562251970463`*^9}, {3.494256255258299*^9, 3.4942562777691383`*^9}, {3.494309312571529*^9, 3.494309334405778*^9}, { 3.4943095934205923`*^9, 3.4943096560521746`*^9}, {3.494309707044091*^9, 3.494309748899485*^9}, {3.4947626311520863`*^9, 3.494762631417287*^9}, { 3.4964900963167534`*^9, 3.496490130449613*^9}, 3.497531262595131*^9, { 3.4981215450674157`*^9, 3.498121564633535*^9}, {3.5042684582575636`*^9, 3.504268462407171*^9}, {3.514080070638262*^9, 3.5140800861923122`*^9}, 3.5150685224972043`*^9, {3.5150686482646255`*^9, 3.5150686889338965`*^9}},ExpressionUUID->"77047c4d-16e3-43e3-a9ac-\ a064e79852c5"], Cell[" Esta celda es de tipo Program.", "Program", Evaluatable->False, CellChangeTimes->{{3.4837891978012114`*^9, 3.4837893558082485`*^9}, { 3.4837894058721123`*^9, 3.4837894324966354`*^9}, {3.4837895170304704`*^9, 3.4837895743657494`*^9}, {3.483789624179599*^9, 3.48378965601542*^9}, 3.494133451901126*^9, {3.494134235726633*^9, 3.4941343561015043`*^9}, { 3.4941343887835617`*^9, 3.4941344694513035`*^9}, {3.4941393151144543`*^9, 3.494139333694087*^9}, {3.494139368310548*^9, 3.49413937512776*^9}, { 3.4941394079658175`*^9, 3.4941398428165812`*^9}, {3.4941398737358356`*^9, 3.494139905871892*^9}, {3.494255989433832*^9, 3.4942561457929068`*^9}, { 3.49425617619736*^9, 3.4942562251970463`*^9}, {3.494256255258299*^9, 3.4942562777691383`*^9}, {3.494309312571529*^9, 3.494309334405778*^9}, { 3.4943095934205923`*^9, 3.4943097017567887`*^9}, {3.494309755540865*^9, 3.494309807915861*^9}},ExpressionUUID->"6024dfae-cd58-4bbf-a22a-\ c55f450ea790"], Cell["\<\ 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. \ \>", "Text",ExpressionUUID->"9f3a444b-05a4-4f7a-928f-8fb0c13d2d62"], Cell["\<\ Este es un texto ordinario. Prueba a modificar el formato de esta celda.\ \>", "Text", CellChangeTimes->{{3.4841335504105206`*^9, 3.48413357749807*^9}, { 3.4841339543396235`*^9, 3.48413396634731*^9}}, FontColor->RGBColor[ 1, 0, 1],ExpressionUUID->"c6f8ca57-9ccc-4c9d-aa97-4ade9ea64c24"], Cell[TextData[{ " Para que se calculan las expresiones marcaremos la celda a evaluar (que \ normalmente debe ser tipo Input) y pulsaremos ", 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] (en el teclado num\[EAcute]rico)", FontFamily->"Courier New", FontWeight->"Bold"] }], "Text", Evaluatable->False, CellChangeTimes->{{3.4837905459173193`*^9, 3.483790644236943*^9}, { 3.4838473273921766`*^9, 3.4838473277271957`*^9}, {3.4838488743246555`*^9, 3.483848890219565*^9}, {3.483848960699596*^9, 3.4838489658108883`*^9}, { 3.485093253833612*^9, 3.4850932596639457`*^9}, {3.525866753806507*^9, 3.5258667872841663`*^9}, {3.7626606668530493`*^9, 3.762660670009087*^9}}, Background->RGBColor[ 1, 1, 0],ExpressionUUID->"3eba260a-e8c5-42c1-8a80-e8960ef90b4f"], Cell["\<\ Debajo se muestra una celda tipo input seguida de una de salida.\ \>", "Text", CellChangeTimes->{{3.7626607048637037`*^9, 3.762660724327751*^9}},ExpressionUUID->"364eb0f9-6d18-4ca0-a2ab-\ 19fe2902fa0e"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"1", "+", "1"}]], "Input", CellChangeTimes->{{3.7626606486198997`*^9, 3.7626606493698616`*^9}}, CellLabel->"In[2]:=",ExpressionUUID->"41190284-af8f-41cc-9149-27d1a36496a8"], Cell[BoxData["2"], "Output", CellChangeTimes->{3.7626606571661916`*^9}, CellLabel->"Out[2]=",ExpressionUUID->"c7edef12-1bf3-4fba-8984-b75daaf481be"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Trabajando con estilos", "Subsection", CellChangeTimes->{{3.483848193485714*^9, 3.4838482008201337`*^9}, { 3.483849207917736*^9, 3.4838492119859686`*^9}},ExpressionUUID->"e9fbcb59-46c0-4863-9469-\ d4c0c534cf42"], Cell[TextData[{ " 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. 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Tambien podremos dentro de un mismo \ estilo elegir el ambiente de trabajo apropiado \ Format\[FilledRightTriangle]Screen Environment. \ \>", "Text", CellChangeTimes->{{3.483848221133295*^9, 3.4838485161201677`*^9}, { 3.4838498218578515`*^9, 3.483849866309394*^9}, {3.525866695509205*^9, 3.5258667068816247`*^9}, {3.5258694665432105`*^9, 3.525869481488037*^9}},ExpressionUUID->"71597beb-2cf8-411a-917c-\ d7957f378ac8"], Cell["\<\ Prueba a modificar el estilo de este notebook y el formato de esta celda.\ \>", "Text", CellChangeTimes->{{3.483848221133295*^9, 3.4838485161201677`*^9}, { 3.4838498218578515`*^9, 3.483849874913886*^9}, {3.5258686670830064`*^9, 3.5258686672858067`*^9}, {3.5258687166910934`*^9, 3.525868729389516*^9}, { 3.525869496464063*^9, 3.5258695160420976`*^9}}, Background->RGBColor[ 0.87, 0.94, 1],ExpressionUUID->"bad14e40-3be6-440a-8a40-b9c705c8e80d"], 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", CellChangeTimes->{{3.4838485478109803`*^9, 3.4838485550943966`*^9}, { 3.4838487025308294`*^9, 3.4838488532364497`*^9}, {3.483848910156705*^9, 3.4838489526991386`*^9}},ExpressionUUID->"86f89f34-73aa-482b-bf6c-\ 3ecf68a8514a"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Plot", "[", RowBox[{ RowBox[{"Sin", "[", "x", "]"}], ",", RowBox[{"{", RowBox[{"x", ",", " ", "0", ",", " ", "10"}], "}"}]}], "]"}]], "Input", CellChangeTimes->{{3.4838486796965237`*^9, 3.4838486805835743`*^9}}, CellLabel->"In[11]:=",ExpressionUUID->"a2777fc2-880e-4514-837c-0275189055b6"], Cell[BoxData[ GraphicsBox[{{{}, {}, TagBox[ {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ 1.], LineBox[CompressedData[" 1:eJwtlnk4VO/7xy0RUcyMJdvMoNBGe5HcN+3SQlFJKpWUNfGJ0qJESCGyVERk yVYpkTr2JaUIEUn2bebYGevvfK/r98881+u6nmfO/bzv9/s+R9nK0eScAB8f 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Ejemplo: ", Cell[BoxData[ FormBox[ RowBox[{"\[Integral]", RowBox[{ SuperscriptBox["x", "3"], RowBox[{"\[DifferentialD]", "x"}]}]}], TraditionalForm]],ExpressionUUID-> "0c87ca2a-b494-4fe9-a394-4a3e4fc07223"], " =", Cell[BoxData[ FormBox[ FractionBox[ SuperscriptBox["x", "4"], "4"], TraditionalForm]],ExpressionUUID-> "52790617-c6f2-4dcc-990e-cd647770e200"] }], "Text", CellChangeTimes->{{3.483848969044073*^9, 3.4838491883106146`*^9}, { 3.483849219244384*^9, 3.4838493586143556`*^9}},ExpressionUUID->"88fcd4ee-c95e-41db-b956-\ 575091c69381"] }, Closed]], Cell[CellGroupData[{ Cell["Escriba un texto enriquecido", "Subsection", CellChangeTimes->{{3.570195906018055*^9, 3.5701959218580737`*^9}, { 3.5701960480021353`*^9, 3.5701960545549717`*^9}, {3.613749769665224*^9, 3.6137497707042837`*^9}, {3.674205497022612*^9, 3.674205582167798*^9}, { 3.6745011327820587`*^9, 3.6745011896844306`*^9}},ExpressionUUID->"8236a513-d2b3-4f01-85d7-\ 9b7e6a7bfbd2"], Cell["\<\ Aprovecha las posibilidades que da la palete Writing Assistant . \ \>", "Text", CellChangeTimes->{{3.494269644432414*^9, 3.4942697978430843`*^9}, { 3.4942699959166317`*^9, 3.49427006291875*^9}, {3.4942701518389053`*^9, 3.4942701956437826`*^9}, {3.4947643046707497`*^9, 3.49476431028676*^9}, { 3.494764354185237*^9, 3.494764370674466*^9}, {3.494764450031805*^9, 3.49476445262141*^9}, 3.4964904031848927`*^9, 3.496491032069784*^9, { 3.4964910730198555`*^9, 3.496491114843529*^9}, {3.496491154358399*^9, 3.496491171518429*^9}, 3.504552686249961*^9, {3.514557649554352*^9, 3.5145576865108166`*^9}, {3.5145580576510687`*^9, 3.514558105340352*^9}, { 3.514558145744423*^9, 3.5145581578968444`*^9}, {3.5145581924977055`*^9, 3.5145581924977055`*^9}, {3.51507083173806*^9, 3.515070850177293*^9}, 3.5150708842321525`*^9, {3.5150709269762278`*^9, 3.515070927787429*^9}, { 3.515233211257368*^9, 3.515233212616726*^9}, {3.6745011149265175`*^9, 3.6745011187842107`*^9}, {3.6745011696135387`*^9, 3.674501221891973*^9}},ExpressionUUID->"895ab273-b9ee-49bf-9554-\ 342f725e215f"], Cell[TextData[{ "Puede ejecutar una funcion dentro de un texto usando Evaluate in Place \ (pruebe a ejecutar la segunda parte de esta iguadad): ", Cell[BoxData[ FormBox[ RowBox[{"\[Integral]", RowBox[{ SuperscriptBox["x", "2"], RowBox[{"\[DifferentialD]", "x"}]}]}], TraditionalForm]],ExpressionUUID-> "6282ccc7-58b8-4428-9d79-9333793b719d"], " = ", Cell[BoxData[ FormBox[ RowBox[{"\[Integral]", RowBox[{ SuperscriptBox["x", "2"], RowBox[{"\[DifferentialD]", "x"}]}]}], TraditionalForm]],ExpressionUUID-> "71130290-c5e7-45f8-948a-26ad19c7eada"], ". 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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, CellChangeTimes->{{3.4837891978012114`*^9, 3.4837893558082485`*^9}, { 3.4837894058721123`*^9, 3.4837894324966354`*^9}, {3.4837895170304704`*^9, 3.4837895743657494`*^9}, {3.483789624179599*^9, 3.48378965601542*^9}, 3.494133451901126*^9, {3.494134235726633*^9, 3.4941343561015043`*^9}, { 3.4941343887835617`*^9, 3.4941344694513035`*^9}, {3.4941393151144543`*^9, 3.494139333694087*^9}, 3.494139838308173*^9, 3.4941415999412675`*^9, { 3.4942562942427673`*^9, 3.494256296957172*^9}, {3.4943093557489986`*^9, 3.494309441604909*^9}, {3.4947627293542585`*^9, 3.494762825440089*^9}, { 3.4964903401919813`*^9, 3.4964903690832324`*^9}, 3.496490402872892*^9, { 3.4964904858962374`*^9, 3.4964905011686645`*^9}, 3.497531898577131*^9, { 3.4981212524566793`*^9, 3.4981212773031006`*^9}, {3.4981215858067455`*^9, 3.49812160581789*^9}, {3.4981220548815756`*^9, 3.498122074906721*^9}, { 3.5045525515905247`*^9, 3.504552553509328*^9}, {3.51024411596553*^9, 3.5102442908965354`*^9}, {3.514553055459382*^9, 3.5145530791246233`*^9}, { 3.5145531094198766`*^9, 3.5145531784187975`*^9}, {3.514553210679654*^9, 3.51455321375286*^9}, 3.514553347585495*^9, {3.5150693453206496`*^9, 3.5150693699998927`*^9}, {3.515069404288753*^9, 3.5150694322596025`*^9}, { 3.515232954245033*^9, 3.515232988853965*^9}},ExpressionUUID->"6f81b702-bc69-4366-83e7-\ 75c3d3f0206f"], 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, CellChangeTimes->{{3.4837891978012114`*^9, 3.4837893558082485`*^9}, { 3.4837894058721123`*^9, 3.4837894324966354`*^9}, {3.4837895170304704`*^9, 3.4837895743657494`*^9}, {3.483789624179599*^9, 3.48378965601542*^9}, 3.494133451901126*^9, {3.494134235726633*^9, 3.4941343561015043`*^9}, { 3.4941343887835617`*^9, 3.4941344694513035`*^9}, {3.4941393151144543`*^9, 3.494139333694087*^9}, 3.494139838308173*^9, 3.4941415999412675`*^9, { 3.4942562942427673`*^9, 3.494256296957172*^9}, {3.4943093557489986`*^9, 3.494309441604909*^9}, {3.4947627293542585`*^9, 3.494762825440089*^9}, { 3.4964903401919813`*^9, 3.4964903690832324`*^9}, 3.496490402872892*^9, { 3.4964904858962374`*^9, 3.4964905011686645`*^9}, 3.497531898577131*^9, { 3.4981212524566793`*^9, 3.4981212773031006`*^9}, {3.4981215858067455`*^9, 3.49812160581789*^9}, {3.4981220548815756`*^9, 3.498122074906721*^9}, { 3.5045525515905247`*^9, 3.504552553509328*^9}, {3.51024411596553*^9, 3.5102442908965354`*^9}, 3.514553055459382*^9, {3.515069448826831*^9, 3.515069505579731*^9}, {3.5150696400363674`*^9, 3.515069663639209*^9}, { 3.5152330072131047`*^9, 3.51523301497863*^9}},ExpressionUUID->"c8034cc0-12bd-4d32-b585-\ 4099b404ecfb"], Cell[TextData[{ "Las expresiones 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", CellChangeTimes->{{3.484309124868575*^9, 3.4843091298458595`*^9}, { 3.4941419600991*^9, 3.494142123899388*^9}, {3.4941421585002484`*^9, 3.494142182695891*^9}, {3.494142237280387*^9, 3.4941422884952765`*^9}, { 3.4942698533323812`*^9, 3.4942698539563828`*^9}, {3.494269906013674*^9, 3.4942699857142143`*^9}, {3.4947637084065027`*^9, 3.4947637492785745`*^9}, {3.4947637897138453`*^9, 3.494763819135497*^9}, { 3.4964878199148636`*^9, 3.496487820835265*^9}, {3.496490403028892*^9, 3.496490403091292*^9}, {3.4964906528477306`*^9, 3.4964907051078224`*^9}, { 3.496491033192986*^9, 3.496491033317786*^9}, {3.497532355689931*^9, 3.4975324404447308`*^9}, {3.4987988799125834`*^9, 3.4987988879153976`*^9}, {3.4988022600302277`*^9, 3.4988022998258977`*^9}, 3.5145533740431414`*^9, 3.514556776530018*^9, {3.514557123615028*^9, 3.514557123646228*^9}, {3.5145571668115034`*^9, 3.5145571848919353`*^9}, { 3.51507050708589*^9, 3.5150705523883696`*^9}, {3.7626612118389378`*^9, 3.7626612227994585`*^9}},ExpressionUUID->"9c41fcb7-23a3-4c24-b310-\ 923609fb08a4"], Cell[CellGroupData[{ Cell[BoxData[ StyleBox[ RowBox[{ RowBox[{ RowBox[{"(", RowBox[{"4", "*", "5"}], ")"}], "/", "5"}], " ", "+", " ", RowBox[{"Sqrt", "[", "4", "]"}], " ", "-", " ", RowBox[{"3", "^", "2"}]}], "Input"]], "Input", CellChangeTimes->{{3.484309124868575*^9, 3.4843091298458595`*^9}, { 3.4941419600991*^9, 3.494142123899388*^9}, {3.4941421585002484`*^9, 3.494142182695891*^9}, {3.494142237280387*^9, 3.4941422884952765`*^9}, { 3.4942698533323812`*^9, 3.4942698539563828`*^9}, {3.494269906013674*^9, 3.4942699857142143`*^9}, {3.4947637084065027`*^9, 3.4947637492785745`*^9}, { 3.4947637897138453`*^9, 3.494763819135497*^9}, {3.4964878199148636`*^9, 3.496487820835265*^9}, {3.496490403028892*^9, 3.496490403091292*^9}, { 3.4964906528477306`*^9, 3.4964907051078224`*^9}, {3.496491033192986*^9, 3.496491033317786*^9}, {3.497532355689931*^9, 3.4975324404447308`*^9}, { 3.4987988799125834`*^9, 3.4987988879153976`*^9}, {3.4988022600302277`*^9, 3.498802291464283*^9}, {3.5145572518784533`*^9, 3.5145572518940535`*^9}}, CellLabel->"In[5]:=",ExpressionUUID->"ea5eee8a-16a8-49ec-b1b4-ddde1fb364ac"], Cell[BoxData[ RowBox[{"-", "3"}]], "Output", CellChangeTimes->{3.52586880592325*^9, 3.671963807821082*^9, 3.762608147292939*^9}, CellLabel->"Out[5]=",ExpressionUUID->"7f6971f6-a7c3-44a1-9784-39defca8b494"] }, Open ]], Cell[TextData[{ "La celda ", StyleBox["Input", FontSlant->"Italic"], " anterior est\[AAcute] escrita en la forma input, podria haberlo \ introducido utilizando una de las Paletas (table de herramientas \ \[FilledRightTriangle] Paletas entonces los datos se intrucen en el \ denominado formato est\[AAcute]ndar (", StyleBox["StandardForm", FontSlant->"Italic"], "). Si prefiere puede convertir la celda anterior a formato estandar. \ 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 pulse en ", StyleBox["StandardForm. 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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", CellChangeTimes->{{3.4942564290270042`*^9, 3.494256509179945*^9}, { 3.4942566047769127`*^9, 3.494256626975752*^9}, {3.4942566635422163`*^9, 3.494256918368664*^9}, {3.494269804863096*^9, 3.4942698190903215`*^9}, { 3.494763851411954*^9, 3.494763900084039*^9}, {3.4947639350437007`*^9, 3.4947641158948183`*^9}, 3.4964904031224923`*^9, 3.496490845821057*^9, 3.496491033364586*^9, {3.497532482174731*^9, 3.4975324848267307`*^9}, { 3.4988023332255564`*^9, 3.498802360946805*^9}, {3.498802391694459*^9, 3.4988023925524607`*^9}, {3.498802430132927*^9, 3.4988024801622143`*^9}, { 3.4988025273366976`*^9, 3.49880255731995*^9}, {3.4988027316814566`*^9, 3.4988027433346767`*^9}, {3.4988027840195484`*^9, 3.4988027844563494`*^9}, {3.514557263297673*^9, 3.514557263297673*^9}, { 3.5145575861246405`*^9, 3.5145576061706753`*^9}, {3.7626615064716167`*^9, 3.7626615117422447`*^9}},ExpressionUUID->"57440959-0bd9-4901-98d3-\ 22077c91daf7"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ SubscriptBox["\[PartialD]", RowBox[{"x", ",", "y"}]], RowBox[{"Sin", "[", RowBox[{"x", " ", SqrtBox["y"]}], "]"}]}]], "Input", CellChangeTimes->{{3.494764048159499*^9, 3.494764082058359*^9}, { 3.496486417040121*^9, 3.49648651821276*^9}}, CellLabel->"In[6]:=",ExpressionUUID->"b415b6ca-dfd1-442c-adb6-9932b4983997"], 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", CellChangeTimes->{3.5258688059544506`*^9, 3.671963807858766*^9, 3.7626081473085737`*^9}, CellLabel->"Out[6]=",ExpressionUUID->"0bc2fc15-de50-4d78-bef0-0e868010a2a6"] }, 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"], " 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", CellChangeTimes->{{3.4942564290270042`*^9, 3.494256509179945*^9}, { 3.4942566047769127`*^9, 3.494256626975752*^9}, {3.4942566635422163`*^9, 3.494256918368664*^9}, {3.494269804863096*^9, 3.4942698190903215`*^9}, { 3.494763851411954*^9, 3.494763900084039*^9}, {3.4947639350437007`*^9, 3.494764041794688*^9}, {3.4947641241784325`*^9, 3.494764289367123*^9}, { 3.494764411062937*^9, 3.4947644409837894`*^9}, {3.494764481746661*^9, 3.4947645345527534`*^9}, {3.4964878288848796`*^9, 3.4964878295556808`*^9}, {3.4964897656741724`*^9, 3.4964897656897726`*^9}, 3.4964904031536922`*^9, {3.496490880609118*^9, 3.4964908806715183`*^9}, { 3.496490915209979*^9, 3.496490989232109*^9}, 3.4964910982139*^9, { 3.5145574080659275`*^9, 3.514557489825671*^9}, {3.514557560103794*^9, 3.5145575706962132`*^9}, {3.515070665784969*^9, 3.515070674115383*^9}, { 3.7626615250760984`*^9, 3.762661528669619*^9}},ExpressionUUID->"142e6575-93ac-4a22-be54-\ f587c5592f1a"], 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", CellChangeTimes->{{3.494256520645965*^9, 3.4942565434844055`*^9}, { 3.494256589208085*^9, 3.4942565940908937`*^9}, {3.496486427585739*^9, 3.496486457700254*^9}, {3.496486494594319*^9, 3.4964865012867303`*^9}, 3.497533026552331*^9}, CellLabel->"In[7]:=",ExpressionUUID->"01c2a620-b3d8-41b1-b9b9-f69c1e9900de"], 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", CellChangeTimes->{3.5258688060948505`*^9, 3.671963807921176*^9, 3.762608147371059*^9}, CellLabel-> "Out[7]//TraditionalForm=",ExpressionUUID->"b9a5ffb7-27f9-4e92-9e39-\ d524bb4c5250"] }, 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", CellChangeTimes->{{3.494269644432414*^9, 3.4942697978430843`*^9}, { 3.4942699959166317`*^9, 3.49427006291875*^9}, {3.4942701518389053`*^9, 3.4942701956437826`*^9}, {3.4947643046707497`*^9, 3.49476431028676*^9}, { 3.494764354185237*^9, 3.494764370674466*^9}, {3.494764450031805*^9, 3.49476445262141*^9}, 3.4964904031848927`*^9, 3.496491032069784*^9, { 3.4964910730198555`*^9, 3.496491114843529*^9}, {3.496491154358399*^9, 3.496491171518429*^9}, 3.504552686249961*^9, {3.514557649554352*^9, 3.5145576865108166`*^9}, {3.5145580576510687`*^9, 3.514558105340352*^9}, { 3.514558145744423*^9, 3.5145581578968444`*^9}, {3.5145581924977055`*^9, 3.5145581924977055`*^9}, {3.51507083173806*^9, 3.515070850177293*^9}, 3.5150708842321525`*^9, {3.5150709269762278`*^9, 3.515070927787429*^9}, { 3.515233211257368*^9, 3.515233212616726*^9}},ExpressionUUID->"3373f5e1-93b2-4b1d-b387-\ cd01f1db3119"] }, Closed]], Cell[CellGroupData[{ Cell["\<\ El formato libre y otras formas para empezar a utilizar Mathematica \ rapidamente\ \>", "Section", CellChangeTimes->{{3.521389627190273*^9, 3.5213896307346272`*^9}, { 3.560933231096574*^9, 3.560933241002676*^9}, {3.562221549131956*^9, 3.5622215579616504`*^9}, {3.562646384307082*^9, 3.562646390625179*^9}, { 3.580889784355275*^9, 3.5808897862429056`*^9}, {3.671269053784348*^9, 3.6712690706006007`*^9}},ExpressionUUID->"ea1ce99d-68b4-4080-a7a7-\ b6aa75ff3f7e"], Cell[CellGroupData[{ Cell["El formato libre", "Subsection", CellChangeTimes->{{3.6712691022783546`*^9, 3.671269105928656*^9}},ExpressionUUID->"2b46e909-38f2-4bee-b55f-\ a24eb292b195"], Cell[TextData[{ "En ", StyleBox["Mathematica", FontSlant->"Italic"], " 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:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UJAPiHmBGMT+DwQ5DAQQMWpoirACspWNHLdRHq3//wMAYj9A2w== "], {{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}}]],ExpressionUUID-> "224bd3ed-50fe-40fb-9026-6f63e60bc4ec"], " . 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", CellChangeTimes->{{3.5001834611070957`*^9, 3.500183678899079*^9}, { 3.500183711175535*^9, 3.5001837192407494`*^9}, {3.500183812419713*^9, 3.5001839471883497`*^9}, {3.5001840248920865`*^9, 3.5001840916914034`*^9}, {3.5001843585142727`*^9, 3.5001843838331165`*^9}, {3.5001847775192204`*^9, 3.5001848447553387`*^9}, {3.500185117237236*^9, 3.5001851242104483`*^9}, { 3.5001870267273903`*^9, 3.500187030642997*^9}, {3.5001870793306828`*^9, 3.5001870879418974`*^9}, {3.504552809037777*^9, 3.5045528339354205`*^9}, { 3.514560255196728*^9, 3.5145602826371765`*^9}, {3.5150710751140876`*^9, 3.515071122631771*^9}, {3.515071247634791*^9, 3.515071317460513*^9}, 3.5152332585848875`*^9, {3.7626616182531176`*^9, 3.7626616247526755`*^9}},ExpressionUUID->"d581ff47-f10f-4501-af48-\ 90b0f523d399"], Cell[TextData[{ "Escriba lo que quiere (formato ling\[UDoubleDot]istico) (EN UNA CELDA TIPO \ INPUT use doble == o Shift+Enter). Tome la salida como plantilla y adaptela a \ sus necesidades. Puede probar con otras expresiones equivalentes (", StyleBox["graph of the sine of x", "Input"], ", ", StyleBox["visualize the sine of x", "Input"], ", ..) y obtendr\[AAcute] el mismo resultado." }], "Text", CellChangeTimes->{{3.562645979626131*^9, 3.562646101421982*^9}, 3.562646295604573*^9, {3.5823098517171726`*^9, 3.582309852668767*^9}, { 3.671269327335088*^9, 3.6712693581328893`*^9}, {3.671269391188035*^9, 3.671269421945921*^9}},ExpressionUUID->"4df3626a-f945-40ec-b5ef-\ efad489aaffc"], Cell[CellGroupData[{ Cell[BoxData[ NamespaceBox["WolframAlphaQueryParseResults", DynamicModuleBox[{Typeset`q$$ = "plot sinx where x=0 to 2pi", Typeset`newq$$ = "plot sinx where x=0 to 2pi", Typeset`chosen$$ = "Plot[Sin[x], {x, 0, 2*Pi}]", Typeset`open$$ = False}, PaneSelectorBox[{False-> DynamicModuleBox[{WolframAlphaClient`Private`show$$ = False, WolframAlphaClient`Private`assumptionsQ$$ = False}, TagBox[ FrameBox[ TagBox[GridBox[{ { InputFieldBox[Dynamic[Typeset`newq$$], String, Appearance->None, 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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", CellChangeTimes->{{3.500186586588217*^9, 3.5001866831991863`*^9}, 3.5001867782657537`*^9, {3.50018681598662*^9, 3.500186818950625*^9}, { 3.500186879291531*^9, 3.500186948259252*^9}, {3.5001872018376975`*^9, 3.50018732880632*^9}, 3.50096574689881*^9, {3.5045529301095896`*^9, 3.5045529397504063`*^9}, {3.5102443506749544`*^9, 3.5102443610715494`*^9}, {3.514363753384015*^9, 3.5143637720260477`*^9}, { 3.5143638060809073`*^9, 3.5143638404789677`*^9}, {3.51436388153824*^9, 3.5143639816436157`*^9}, {3.5150714799347987`*^9, 3.5150715151752605`*^9}, {3.5256091119090614`*^9, 3.525609118492273*^9}, { 3.525749940312028*^9, 3.5257499403276277`*^9}},ExpressionUUID->"31f330b6-223b-43c4-ba74-\ 87823667d0ae"], 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", CellChangeTimes->{{3.5257499652408714`*^9, 3.5257499746008883`*^9}, { 3.5257512138522005`*^9, 3.5257513957336035`*^9}},ExpressionUUID->"0c99ccff-ba08-4f5c-9eae-\ 7ed3ae4fa9b4"], 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$$ = {1}}, DynamicBox[ToBoxes[ AlphaIntegration`LinguisticAssistantBoxes["", 1, Dynamic[WolframAlphaClient`Private`query$$], Dynamic[WolframAlphaClient`Private`boxes$$], Dynamic[WolframAlphaClient`Private`allassumptions$$], Dynamic[WolframAlphaClient`Private`assumptions$$], Dynamic[WolframAlphaClient`Private`open$$]], StandardForm], ImageSizeCache->{310., {9., 21.}}], DynamicModuleValues:>{}], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]], "Input", CellChangeTimes->{{3.5257500165337615`*^9, 3.5257500709154572`*^9}}, CellLabel->"In[9]:=",ExpressionUUID->"40313f5e-a8ed-45be-ab1e-a1b8b296e1b4"], Cell[BoxData[ RowBox[{"{", RowBox[{ FractionBox["3", "4"], ",", RowBox[{"{", RowBox[{"x", "\[Rule]", FractionBox["1", "2"]}], "}"}]}], "}"}]], "Output", CellChangeTimes->{3.5258688078576536`*^9, 3.6719638080425553`*^9, 3.76260814749605*^9}, CellLabel->"Out[9]=",ExpressionUUID->"b3575d81-d052-4e35-b3cd-4c4eb08e9bc5"] }, 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", CellChangeTimes->{{3.500186586588217*^9, 3.5001866831991863`*^9}, 3.5001867782657537`*^9, {3.50018681598662*^9, 3.500186818950625*^9}, { 3.500186879291531*^9, 3.500186948259252*^9}, {3.5001872018376975`*^9, 3.50018732880632*^9}, 3.50096574689881*^9, {3.5045529301095896`*^9, 3.5045529397504063`*^9}, {3.5102443506749544`*^9, 3.5102443610715494`*^9}, {3.514363753384015*^9, 3.5143637720260477`*^9}, { 3.5143638060809073`*^9, 3.5143638404789677`*^9}, {3.51436388153824*^9, 3.5143639816436157`*^9}, {3.5150714799347987`*^9, 3.5150715151752605`*^9}, {3.5256091119090614`*^9, 3.525609118492273*^9}, 3.525749940312028*^9},ExpressionUUID->"7b312011-0017-4056-bf12-\ 5d732ffe1c7d"], 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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", FontSlant->"Italic"], "En la pr\[AAcute]ctica resulta muy \[UAcute]til cuando no se conoce la \ sintaxis espec\[IAcute]fica de ", StyleBox["Mathematica", FontSlant->"Italic"], " para realizar una determinada operaci\[OAcute]n." }], "Text", CellChangeTimes->{{3.5002106386050878`*^9, 3.5002108025457754`*^9}, { 3.5002108325602283`*^9, 3.500210834120231*^9}, {3.500210874524302*^9, 3.5002109308872013`*^9}, {3.500210985643297*^9, 3.500211101535901*^9}, { 3.500211143562375*^9, 3.500211406485236*^9}, {3.5009655259491725`*^9, 3.5009655926889896`*^9}, {3.500965631378203*^9, 3.5009656451539907`*^9}, { 3.5009656887294827`*^9, 3.500965689081503*^9}, {3.504553032086969*^9, 3.5045530461737933`*^9}, {3.5145603417768803`*^9, 3.5145603781249437`*^9}, { 3.5150717382868524`*^9, 3.5150718193913946`*^9}},ExpressionUUID->"bf87bfd5-3655-4dab-b3a7-\ a0c22522f811"], Cell[TextData[{ "Pulse sobre la salida y obtendra el imput de ", StyleBox["Mathematica", FontSlant->"Italic"], " con la sintaxis adecuda." }], "Text", CellChangeTimes->{{3.582309868308364*^9, 3.582309912456868*^9}},ExpressionUUID->"1662ec41-7a1a-4aa7-87bf-\ 92f165201757"], Cell[CellGroupData[{ Cell[BoxData[ NamespaceBox["WolframAlphaQueryParseResults", DynamicModuleBox[{Typeset`q$$ = "integral of 1/(1 + x^3)", Typeset`newq$$ = "integral of 1/(1 + x^3)", Typeset`chosen$$ = "Integrate[1/(1 + x^3), x]", Typeset`open$$ = False}, PaneSelectorBox[{False-> DynamicModuleBox[{WolframAlphaClient`Private`show$$ = False, WolframAlphaClient`Private`assumptionsQ$$ = False}, TagBox[ FrameBox[ TagBox[GridBox[{ { InputFieldBox[Dynamic[Typeset`newq$$], String, Appearance->None, BaseStyle->{"CalculateInput"}, ContinuousAction->True, Enabled->True, FieldSize->{{1, 40}, {1, DirectedInfinity[1]}}, TrapSelection->False], ItemBox[ ButtonBox[ PaneSelectorBox[{True-> TagBox[ TooltipBox[ DynamicBox[FEPrivate`FrontEndResource[ "WABitmaps", "OrangeSquarePlus"], ImageSizeCache->{13., {4., 10.}}], DynamicBox[ ToBoxes[ FEPrivate`FrontEndResource["WAStrings", "ShowAllResults"], StandardForm]]], Annotation[#, Dynamic[ FEPrivate`FrontEndResource["WAStrings", "ShowAllResults"]], "Tooltip"]& ], False-> TagBox[ TooltipBox[ DynamicBox[FEPrivate`FrontEndResource[ "WABitmaps", "GraySquarePlus"], ImageSizeCache->{13., {4., 10.}}], DynamicBox[ ToBoxes[ FEPrivate`FrontEndResource["WAStrings", "ShowAllResults"], StandardForm]]], Annotation[#, Dynamic[ FEPrivate`FrontEndResource["WAStrings", "ShowAllResults"]], "Tooltip"]& ]}, Dynamic[WolframAlphaClient`Private`show$$], ImageSize->All], Appearance->None, ButtonFunction:>(Quiet[ WolframAlpha[]]; 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Estas se cargan desde el men\[UAcute] principal pulsando en ", StyleBox["Palettes ", FontWeight->"Bold"], "y seleccionando una de las disponibles." }], "Text", Evaluatable->False, CellChangeTimes->{{3.4837891978012114`*^9, 3.4837893558082485`*^9}, { 3.4837894058721123`*^9, 3.4837894324966354`*^9}, {3.4837895170304704`*^9, 3.4837895743657494`*^9}, {3.483789624179599*^9, 3.48378965601542*^9}, 3.494133451901126*^9, {3.494134235726633*^9, 3.4941343561015043`*^9}, { 3.4941343887835617`*^9, 3.4941344694513035`*^9}, 3.4941393151144543`*^9, 3.4941416233725085`*^9, {3.494762840494116*^9, 3.4947628408217163`*^9}, { 3.4947629098050375`*^9, 3.4947629149374466`*^9}, 3.494762981658764*^9, 3.4947630227180357`*^9, {3.4947631275082827`*^9, 3.49476326299452*^9}, { 3.4947633024937897`*^9, 3.4947634601320667`*^9}, 3.496489765393372*^9, { 3.496490402919692*^9, 3.496490402982092*^9}, {3.4964905236951036`*^9, 3.4964905694031844`*^9}, {3.496490602506442*^9, 3.4964906037700443`*^9}, 3.4964910330837855`*^9, {3.4975320075275307`*^9, 3.497532009227931*^9}, { 3.498121307295816*^9, 3.498121329536088*^9}, {3.498121758543626*^9, 3.4981217975748587`*^9}, {3.5042699920522575`*^9, 3.504270028993122*^9}, { 3.5042700636719832`*^9, 3.504270188113402*^9}, 3.5042812283078227`*^9, { 3.504281285684724*^9, 3.5042813159799767`*^9}, {3.504552582431779*^9, 3.504552586971387*^9}, {3.5150696980996695`*^9, 3.5150697130756955`*^9}, { 3.5150697431993484`*^9, 3.515069830715502*^9}, {3.5150698635691595`*^9, 3.5150698874216013`*^9}, {3.5150699493849106`*^9, 3.51507000612221*^9}, { 3.5150700419398727`*^9, 3.5150700520330906`*^9}, {3.5150701127795973`*^9, 3.515070137349641*^9}, {3.515233037525217*^9, 3.5152330513844147`*^9}, 3.5256087932873015`*^9, {3.7626258551832466`*^9, 3.7626258676817055`*^9}},ExpressionUUID->"63481d35-a68e-47b4-af12-\ f98c7c81f426"], Cell[TextData[{ "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. 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", CellChangeTimes->{{3.485263443086557*^9, 3.485263483076844*^9}, { 3.485263514273628*^9, 3.4852635673176622`*^9}, {3.4941419096798115`*^9, 3.4941419486486797`*^9}, {3.4942698431455636`*^9, 3.494269884345236*^9}, { 3.494763647644396*^9, 3.4947636491731987`*^9}, {3.494763679655652*^9, 3.4947636888596687`*^9}, {3.4964907931709642`*^9, 3.496490822935817*^9}, 3.4975320788039308`*^9, {3.4981217003883*^9, 3.4981217047325478`*^9}, { 3.5145533774127474`*^9, 3.5145533808447533`*^9}, {3.5145567352991457`*^9, 3.514556762193593*^9}, {3.5150702538662453`*^9, 3.515070258078253*^9}, { 3.5152330750403614`*^9, 3.515233075790352*^9}, 3.762625857837081*^9},ExpressionUUID->"e3fbd5d7-0838-45e5-ace5-\ 221a548c020f"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ FractionBox[ RowBox[{"4", " ", "5"}], "5"], "+", SqrtBox["4"], "-", SuperscriptBox["3", "2"]}]], "Input", PageWidth->Infinity, CellChangeTimes->{{3.4852634538851748`*^9, 3.4852634558082843`*^9}, { 3.497532103873131*^9, 3.497532114668331*^9}, {3.4975321613435307`*^9, 3.497532173308731*^9}, {3.4975330926339307`*^9, 3.497533097267131*^9}}, CellLabel->"In[4]:=",ExpressionUUID->"73a7eece-7c4d-42fa-8271-c61309fb3e93"], Cell[BoxData[ RowBox[{"-", "3"}]], "Output", CellChangeTimes->{3.5258688058920507`*^9, 3.671963807805455*^9, 3.7626081472773623`*^9}, CellLabel->"Out[4]=",ExpressionUUID->"611de166-f2b8-40ba-8eba-c703945df38b"] }, Open ]], 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", CellChangeTimes->{{3.4942564290270042`*^9, 3.494256509179945*^9}, { 3.4942566047769127`*^9, 3.494256626975752*^9}, {3.4942566635422163`*^9, 3.494256918368664*^9}, {3.494269804863096*^9, 3.4942698190903215`*^9}, { 3.494763851411954*^9, 3.494763900084039*^9}, {3.4947639350437007`*^9, 3.4947641158948183`*^9}, 3.4964904031224923`*^9, 3.496490845821057*^9, 3.496491033364586*^9, {3.497532482174731*^9, 3.4975324848267307`*^9}, { 3.4988023332255564`*^9, 3.498802360946805*^9}, {3.498802391694459*^9, 3.4988023925524607`*^9}, {3.498802430132927*^9, 3.4988024801622143`*^9}, { 3.4988025273366976`*^9, 3.49880255731995*^9}, {3.4988027316814566`*^9, 3.4988027433346767`*^9}, {3.4988027840195484`*^9, 3.4988027844563494`*^9}, {3.514557263297673*^9, 3.514557309302154*^9}, { 3.514557340471009*^9, 3.5145573417346106`*^9}, {3.5150705897192354`*^9, 3.515070639124522*^9}},ExpressionUUID->"632e7071-ff67-4fc8-8657-\ 19d04ec6c4dc"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ SubscriptBox["\[PartialD]", RowBox[{"x", ",", "y"}]], RowBox[{"Sin", "[", RowBox[{"x", " ", SqrtBox["y"]}], "]"}]}]], "Input", CellChangeTimes->{{3.494764048159499*^9, 3.494764082058359*^9}, { 3.496486417040121*^9, 3.49648651821276*^9}},ExpressionUUID->"bb9c1548-4fc6-47f5-a804-\ 90013cd697c2"], 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", CellChangeTimes->{ 3.699796457406822*^9},ExpressionUUID->"8355d192-3f33-4828-8f02-\ c6e3cc012a2a"] }, 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", CellChangeTimes->{{3.4942564290270042`*^9, 3.494256509179945*^9}, { 3.4942566047769127`*^9, 3.494256626975752*^9}, {3.4942566635422163`*^9, 3.494256918368664*^9}, {3.494269804863096*^9, 3.4942698190903215`*^9}, { 3.494763851411954*^9, 3.494763900084039*^9}, {3.4947639350437007`*^9, 3.494764041794688*^9}, {3.4947641241784325`*^9, 3.494764289367123*^9}, { 3.494764411062937*^9, 3.4947644409837894`*^9}, {3.494764481746661*^9, 3.4947645345527534`*^9}, {3.4964878288848796`*^9, 3.4964878295556808`*^9}, {3.4964897656741724`*^9, 3.4964897656897726`*^9}, 3.4964904031536922`*^9, {3.496490880609118*^9, 3.4964908806715183`*^9}, { 3.496490915209979*^9, 3.496490989232109*^9}, 3.4964910982139*^9, { 3.5145574080659275`*^9, 3.514557489825671*^9}, {3.514557560103794*^9, 3.5145575706962132`*^9}, {3.515070665784969*^9, 3.515070674115383*^9}},ExpressionUUID->"9486e3cd-5ab1-4b43-9d00-\ 6e4f1c14199a"], 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", CellChangeTimes->{{3.4942564290270042`*^9, 3.494256509179945*^9}, { 3.4942566047769127`*^9, 3.494256626975752*^9}, {3.4942566635422163`*^9, 3.494256918368664*^9}, {3.494269804863096*^9, 3.4942698190903215`*^9}, { 3.494763851411954*^9, 3.494763900084039*^9}, {3.4947639350437007`*^9, 3.494764041794688*^9}, {3.4947641241784325`*^9, 3.494764289367123*^9}, { 3.494764411062937*^9, 3.4947644409837894`*^9}, {3.494764481746661*^9, 3.4947645345527534`*^9}, {3.4964878288848796`*^9, 3.4964878295556808`*^9}, {3.4964897656741724`*^9, 3.4964897656897726`*^9}, 3.4964904031536922`*^9, {3.496490880609118*^9, 3.4964908806715183`*^9}, { 3.496490915209979*^9, 3.496490989232109*^9}, 3.4964910982139*^9, { 3.5145574080659275`*^9, 3.5145574337747726`*^9}, {3.514557515503316*^9, 3.5145575188573217`*^9}, {3.515070722865469*^9, 3.515070765640744*^9}, { 3.5150708055144143`*^9, 3.515070809414421*^9}, {3.5256090828462105`*^9, 3.525609087339018*^9}},ExpressionUUID->"f7724b39-1c90-4d44-87e2-\ 3443b91db243"], 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", CellChangeTimes->{{3.494256520645965*^9, 3.4942565434844055`*^9}, { 3.494256589208085*^9, 3.4942565940908937`*^9}, {3.496486427585739*^9, 3.496486457700254*^9}, {3.496486494594319*^9, 3.4964865012867303`*^9}, 3.497533026552331*^9},ExpressionUUID->"f9275e2c-09db-43ac-b1c7-\ 5eed9f2b019a"], 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", CellChangeTimes->{ 3.6997964574380646`*^9},ExpressionUUID->"6fe500eb-4ff2-4305-ac3f-\ f92d3b218267"] }, 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", CellChangeTimes->{{3.494269644432414*^9, 3.4942697978430843`*^9}, { 3.4942699959166317`*^9, 3.49427006291875*^9}, {3.4942701518389053`*^9, 3.4942701956437826`*^9}, {3.4947643046707497`*^9, 3.49476431028676*^9}, { 3.494764354185237*^9, 3.494764370674466*^9}, {3.494764450031805*^9, 3.49476445262141*^9}, 3.4964904031848927`*^9, 3.496491032069784*^9, { 3.4964910730198555`*^9, 3.496491114843529*^9}, {3.496491154358399*^9, 3.496491171518429*^9}, 3.504552686249961*^9, {3.514557649554352*^9, 3.5145576865108166`*^9}, {3.5145580576510687`*^9, 3.514558105340352*^9}, { 3.514558145744423*^9, 3.5145581578968444`*^9}, {3.5145581924977055`*^9, 3.5145581924977055`*^9}, {3.51507083173806*^9, 3.515070850177293*^9}, 3.5150708842321525`*^9, {3.5150709269762278`*^9, 3.515070927787429*^9}, { 3.515233211257368*^9, 3.515233212616726*^9}},ExpressionUUID->"514e9aa9-2353-4cf7-ae2b-\ 10d07a01f6e5"] }, Closed]], Cell[CellGroupData[{ Cell["Ideas b\[AAcute]sicas", "Subsection", CellChangeTimes->{{3.4838527289661283`*^9, 3.483852731910297*^9}, { 3.484197082345538*^9, 3.484197083131583*^9}},ExpressionUUID->"345958dc-60a4-49b2-a0e3-\ 3c0beb251c34"], Cell[TextData[{ "Las funciones ", StyleBox["Mathematica", FontSlant->"Italic"], " siempre empiezan con una letra en mayuscula." }], "Text", CellDingbat->"\[FilledSquare]", CellChangeTimes->{{3.483852750214344*^9, 3.483852788026507*^9}, 3.5258695828414145`*^9},ExpressionUUID->"36ec00b7-58a9-4b74-81aa-\ e58f37770e08"], Cell["Los argumentos se escriben entre corchetes.", "Text", CellDingbat->"\[FilledSquare]", CellChangeTimes->{{3.483852798365098*^9, 3.4838528308429556`*^9}, 3.485262917548498*^9, 3.525869585103419*^9},ExpressionUUID->"ddf3e2b6-af7e-490a-89b4-\ 6a6b6355197f"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"N", "[", RowBox[{"Pi", ",", " ", "4"}], "]"}]], "Input", CellChangeTimes->{{3.483853007935085*^9, 3.483853039422886*^9}}, CellLabel->"In[13]:=",ExpressionUUID->"694bbf73-e883-4767-bd61-c9e737a68aaa"], Cell[BoxData["3.1415926535897932385`4."], "Output", CellChangeTimes->{3.5258688149556665`*^9, 3.671963811679259*^9, 3.7626081476210413`*^9}, CellLabel->"Out[13]=",ExpressionUUID->"44e7eb23-3756-4ee2-9934-87cd80cfaddf"] }, 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]", CellChangeTimes->{{3.483852798365098*^9, 3.4838528308429556`*^9}, 3.485262917548498*^9, 3.525869585103419*^9, {3.558435704264023*^9, 3.558435729007438*^9}},ExpressionUUID->"5692f27d-9c79-4cf8-b49f-\ d6b0bec34061"], Cell["Debajo definimos una lista formada por tres sublistas. ", "Text", CellChangeTimes->{{3.5039822901435394`*^9, 3.503982300377157*^9}, { 3.5039823679720755`*^9, 3.5039823690172777`*^9}, 3.5039824048817406`*^9, { 3.506864395268258*^9, 3.5068644352199283`*^9}, {3.5148138345858593`*^9, 3.5148138557082963`*^9}},ExpressionUUID->"f946adf9-73f5-46ad-81b7-\ a8ce43ffd8d7"], Cell[BoxData[ RowBox[{ RowBox[{"lista", "=", RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{"2", ",", " ", "3", ",", " ", "6"}], "}"}], ",", " ", RowBox[{"{", RowBox[{"3", ",", "1", ",", "5"}], "}"}], ",", RowBox[{"{", RowBox[{"4", ",", "3", ",", "7"}], "}"}]}], "}"}]}], ";"}]], "Input", CellChangeTimes->{{3.5039822776323175`*^9, 3.5039823398608265`*^9}}, CellLabel->"In[14]:=",ExpressionUUID->"378ba16c-7873-44cf-baad-eda14ba1e802"], 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", CellChangeTimes->{{3.5039822901435394`*^9, 3.503982300377157*^9}, { 3.5039823679720755`*^9, 3.5039823690172777`*^9}, 3.5039824048817406`*^9, { 3.503982546373989*^9, 3.5039826234537244`*^9}, {3.5044441891392*^9, 3.5044441926647997`*^9}, 3.506865098876294*^9, {3.558435743812285*^9, 3.5584357618133144`*^9}},ExpressionUUID->"4921c51d-fe04-4224-be49-\ 7225088c5b8c"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"lista", "//", "TraditionalForm"}]], "Input", CellChangeTimes->{{3.503982453085825*^9, 3.503982497187103*^9}}, CellLabel->"In[15]:=",ExpressionUUID->"aa01dfb3-c5fc-4a18-aab8-f14ee655d611"], 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", CellChangeTimes->{3.5149549647963295`*^9, 3.51495539976208*^9, 3.5268103156799*^9, 3.671963811726141*^9, 3.762608147652289*^9}, CellLabel-> "Out[15]//TraditionalForm=",ExpressionUUID->"c9d59bc6-2233-4b69-8d38-\ 86f89b3c3fcc"] }, 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", CellChangeTimes->{{3.5584358096550508`*^9, 3.558435897008047*^9}},ExpressionUUID->"495cd914-fe09-49f3-8ce1-\ 57d5b49de761"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Mean", "[", RowBox[{"{", RowBox[{"23", ",", " ", "4", ",", "7"}], "}"}], "]"}]], "Input", CellChangeTimes->{{3.525866882580272*^9, 3.525866896542297*^9}}, CellLabel->"In[16]:=",ExpressionUUID->"5be2c83d-0fb0-48d1-be45-927e667a019c"], Cell[BoxData[ FractionBox["34", "3"]], "Output", CellChangeTimes->{3.5258688152520666`*^9, 3.6719638117462916`*^9, 3.7626081476679125`*^9}, CellLabel->"Out[16]=",ExpressionUUID->"d73d2f18-daa9-4477-8f0a-e09410c872a3"] }, 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", CellChangeTimes->{{3.525869093905356*^9, 3.5258691388490353`*^9}, { 3.558435906554593*^9, 3.5584359918674726`*^9}},ExpressionUUID->"5090c801-a060-4ba2-ad90-\ 7d2cf69d829c"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"a", " ", "=", " ", "3"}]], "Input", CellChangeTimes->{{3.5258691414230394`*^9, 3.5258691504242554`*^9}, 3.5258691870219193`*^9}, CellLabel->"In[17]:=",ExpressionUUID->"147c496c-21c0-43d3-8955-736bcfff939d"], Cell[BoxData["3"], "Output", CellChangeTimes->{3.5258691883011217`*^9, 3.6719638117477903`*^9, 3.7626081476991615`*^9}, CellLabel->"Out[17]=",ExpressionUUID->"e13d5d66-a64e-41e1-b60c-631f32adc4cc"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"b", " ", "=", " ", "5"}]], "Input", CellChangeTimes->{{3.5258691533570604`*^9, 3.52586916449548*^9}}, CellLabel->"In[18]:=",ExpressionUUID->"489db25f-09d0-4ba6-a6af-6fc1395393b5"], Cell[BoxData["5"], "Output", CellChangeTimes->{3.525869180329508*^9, 3.6719638117637386`*^9, 3.7626081477147846`*^9}, CellLabel->"Out[18]=",ExpressionUUID->"c7b80abe-43f6-48f2-8f12-b54bad53c751"] }, Open ]], Cell["\<\ Observe que al utilizar una expresi\[OAcute]n donde aparecen a y b, se \ reemplazan por las asignaciones antes realizadas.\ \>", "Text", CellChangeTimes->{{3.5584359989638786`*^9, 3.558436053430994*^9}},ExpressionUUID->"afa23c61-19f1-405d-a287-\ b083dacc82e8"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"a", " ", RowBox[{"Cos", "[", "b", "]"}]}]], "Input", CellChangeTimes->{{3.525869168957088*^9, 3.525869174822698*^9}}, CellLabel->"In[19]:=",ExpressionUUID->"d676fdf1-b303-44cf-b090-36e9445ae2ef"], Cell[BoxData[ RowBox[{"3", " ", RowBox[{"Cos", "[", "5", "]"}]}]], "Output", CellChangeTimes->{3.525869180360708*^9, 3.6719638117637386`*^9, 3.7626081477304087`*^9}, CellLabel->"Out[19]=",ExpressionUUID->"fe22368f-39db-4878-ab06-f58e98e03303"] }, 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", CellChangeTimes->{{3.525869197411538*^9, 3.5258693315249734`*^9}, { 3.5258696206090813`*^9, 3.5258696256946898`*^9}},ExpressionUUID->"642ccb94-8e50-41d1-94d5-\ 7352209d5052"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"a", " ", RowBox[{"Cos", "[", "b", "]"}]}], "//", "N"}]], "Input", CellChangeTimes->{{3.5258693430689936`*^9, 3.525869343973795*^9}}, CellLabel->"In[20]:=",ExpressionUUID->"de58a0d3-b1b0-4cb2-b269-7e953ce38ee0"], Cell[BoxData["0.8509865563896788`"], "Output", CellChangeTimes->{3.525869362506628*^9, 3.6719638117793636`*^9, 3.7626081477616606`*^9}, CellLabel->"Out[20]=",ExpressionUUID->"08453712-6f11-4946-97aa-6299328465c4"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"N", "[", RowBox[{"a", " ", RowBox[{"Cos", "[", "b", "]"}]}], "]"}]], "Input", CellChangeTimes->{{3.525869346110999*^9, 3.525869356641018*^9}}, CellLabel->"In[21]:=",ExpressionUUID->"64b9f118-e0a0-44f5-8694-c296cdec1654"], Cell[BoxData["0.8509865563896788`"], "Output", CellChangeTimes->{3.525869362537828*^9, 3.6719638117949924`*^9, 3.7626081477772803`*^9}, CellLabel->"Out[21]=",ExpressionUUID->"9ad870cf-8fbf-4bb2-8b60-f6ce1dfb7476"] }, 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", CellChangeTimes->{{3.4838531793938913`*^9, 3.483853207733513*^9}, { 3.483853295965559*^9, 3.48385331521266*^9}, {3.4838537475513887`*^9, 3.4838537716387663`*^9}, {3.483853808351866*^9, 3.483853821495618*^9}, { 3.485262943400976*^9, 3.4852629449050627`*^9}, {3.525869635881508*^9, 3.52586963697351*^9}},ExpressionUUID->"bd30f6b3-e33b-4447-a59a-\ 554f3dc31c7a"], Cell["\<\ Escribe una funcion y pulse Crt + May + K , observe como se muestran los \ argumentos b\[AAcute]sicos de la funci\[OAcute]n\ \>", "Text", CellChangeTimes->{{3.4838534831782675`*^9, 3.483853510205813*^9}, { 3.4838544830044537`*^9, 3.4838545021635494`*^9}, {3.485262951537442*^9, 3.485262985146364*^9}, {3.4852633476490984`*^9, 3.4852633485071473`*^9}, { 3.5258696467079268`*^9, 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Cell[CellGroupData[{ Cell[BoxData["Find"], "Input", CellChangeTimes->{{3.4838544520146813`*^9, 3.483854453599772*^9}}, CellLabel->"In[23]:=",ExpressionUUID->"8cbacd68-b4bd-40cd-b225-172f88e98f85"], Cell[BoxData["Find"], "Output", CellChangeTimes->{3.671963811810618*^9, 3.762608147808528*^9}, CellLabel->"Out[23]=",ExpressionUUID->"a1c46c8b-20da-4b61-b55c-85cb1dd84cb7"] }, Open ]], Cell["\<\ Otra forma de obtener ayuda es (suponga que quiere calcular un minimo, pruebe \ a busca funciones que incluyan \[OpenCurlyDoubleQuote]mini\ \[CloseCurlyDoubleQuote])\ \>", "Text", CellChangeTimes->{{3.483854556604664*^9, 3.483854566496229*^9}, { 3.4838548917178307`*^9, 3.4838548956770573`*^9}, 3.5258689249826593`*^9, { 3.525869002442395*^9, 3.5258690536728854`*^9}, {3.525869673992375*^9, 3.5258696996856203`*^9}},ExpressionUUID->"acba839c-36aa-470b-b9bb-\ 085f77f68440"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"?", "*Mini*"}]], "Input", CellChangeTimes->{{3.4838545913956537`*^9, 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cada una de \ ellas, eso le permitira decidir cual utilizar.\ \>", "Text", CellChangeTimes->{{3.483854905666629*^9, 3.483854932162144*^9}, { 3.5258697046776285`*^9, 3.525869729185272*^9}},ExpressionUUID->"ca469607-a0f7-4642-963d-\ 31a5c1ee2e93"], Cell["\<\ Para ver directamente las opciones de una funcion la forma es\ \>", "Text", CellChangeTimes->{{3.4838546866161*^9, 3.4838547273274283`*^9}},ExpressionUUID->"46694f36-5003-4bd3-98a5-\ ec131a56dc4b"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Options", "[", "FindMinimum", "]"}]], "Input", CellChangeTimes->{{3.483854654777279*^9, 3.4838546809287744`*^9}, { 3.52586894228309*^9, 3.525868975682749*^9}}, CellLabel->"In[25]:=",ExpressionUUID->"5264a9b4-6bd8-454c-b544-8f3a7dbe593f"], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"AccuracyGoal", "\[Rule]", "Automatic"}], ",", RowBox[{"Compiled", "\[Rule]", "Automatic"}], ",", RowBox[{"EvaluationMonitor", "\[Rule]", "None"}], ",", RowBox[{"Gradient", "\[Rule]", "Automatic"}], ",", 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FontSlant->"Italic"], " dispone de miles de funciones que a su vez pueden ser combinadas para \ construir funciones m\[AAcute]s complejas" }], "Text", CellChangeTimes->{{3.54416996778647*^9, 3.5441700243063693`*^9}},ExpressionUUID->"ffdf0cd3-8a77-4e83-92cd-\ 8d54480a9a20"], Cell[TextData[{ StyleBox["Mathematica", FontFamily->"Times New Roman", FontSlant->"Italic"], StyleBox[" permite definir funciones de forma muy ", FontFamily->"Times New Roman"], StyleBox["parecida", FontFamily->"Times New Roman", FontColor->GrayLevel[0]], StyleBox[" al uso habitual en matem\[AAcute]ticas.", FontFamily->"Times New Roman"], " ", StyleBox["La ", FontFamily->"Times New Roman"], "sintaxis", StyleBox[" habitual en el caso de una funci\[OAcute]n de una variable es:", FontFamily->"Times New Roman"], StyleBox[" f[x_]:= expr(x)", FontFamily->"Courier New"], ". ", StyleBox[" El ", FontFamily->"Times New Roman"], StyleBox["blank ", FontSlant->"Italic"], "(\"_\") junto a la variable sirve para especificar lo que ser\[IAcute]a la \ variable independiente de la funci\[OAcute]n. 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En este ejemplo \ utilizamos la funci\[OAcute]n ", Cell[BoxData[ FormBox[ RowBox[{"f", RowBox[{"(", "x", ")"}]}], TraditionalForm]],ExpressionUUID-> "75f5033c-884b-4958-ac2a-753e9c383822"], " antes definida." }], "Text", CellChangeTimes->{ 3.496490404089694*^9, 3.496491032646985*^9, {3.5009669912089806`*^9, 3.5009670097960434`*^9}, 3.5145704743977194`*^9, 3.539160170101012*^9, 3.5441698775715113`*^9},ExpressionUUID->"779f5034-a3f7-4d68-b767-\ 62ce785770ef"], Cell[BoxData[ RowBox[{ RowBox[{"g", "[", RowBox[{"x_", ",", " ", "y_"}], "]"}], ":=", " ", RowBox[{ RowBox[{"f", "[", "x", "]"}], "2.3", " ", RowBox[{"Exp", "[", RowBox[{ RowBox[{"-", " ", "0.3"}], " ", SuperscriptBox["y", "2"]}], "]"}]}]}]], "Input", CellChangeTimes->{3.4943953312964168`*^9, 3.5391601701020126`*^9, 3.5441698775715113`*^9},ExpressionUUID->"c1711911-e141-41cf-b494-\ fd64bb66e354"], Cell[TextData[{ "Ahora podemos presentar el resultado en un gr\[AAcute]fico 3D para lo que \ podemos utilizar ", Cell[BoxData[ ButtonBox["Plot3D", BaseStyle->"Link", ButtonData->"paclet:ref/Plot3D"]],ExpressionUUID-> "33cba2a2-e40d-4a69-b6fd-6dbc4d67dcdc"], ". 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Destaca la instrucci\[OAcute]n ", Cell[BoxData[ ButtonBox["Manipulate", BaseStyle->"Link", ButtonData->"paclet:ref/Manipulate"]],ExpressionUUID-> "be97e1fb-1304-45e6-8537-079f2eae9238"], ", como podemos comprobar en los siguientes ejemplos. 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Observe que \ la celda de abajo est\[AAcute] definida como celda de Iniciaci\[OAcute]n, eso \ implica que siempre que se ejecutar\[AAcute] al inicio de este notebook.\ \>", "Text", CellChangeTimes->{{3.582287157031084*^9, 3.5822872601013823`*^9}, { 3.613755231497704*^9, 3.6137552341988764`*^9}, {3.613905685222742*^9, 3.613905732504017*^9}, {3.6719679360025945`*^9, 3.671967981737833*^9}},ExpressionUUID->"6e90578e-1f9d-4783-a901-\ a5c8f842aaaf"], Cell[BoxData[ RowBox[{"SetDirectory", "[", RowBox[{"FileNameJoin", "[", RowBox[{"{", RowBox[{ RowBox[{"NotebookDirectory", "[", "]"}], ",", "\"\\""}], "}"}], "]"}], "]"}]], "Input", InitializationCell->True, CellChangeTimes->{{3.613905652890086*^9, 3.6139056632130747`*^9}, { 3.613905748339547*^9, 3.6139057502301583`*^9}},ExpressionUUID->"8076ee8e-0518-4b2e-8b71-\ 8188f02e0953"], Cell[CellGroupData[{ Cell["Las listas ", "Subsection", CellChangeTimes->{{3.53915721306888*^9, 3.5391572349221296`*^9}, { 3.5391575297149906`*^9, 3.5391575621148443`*^9}, {3.53915800751532*^9, 3.5391580203870554`*^9}, {3.540873192373543*^9, 3.5408731952907476`*^9}, { 3.5408734909892673`*^9, 3.5408735019716864`*^9}, {3.5745152875802927`*^9, 3.5745152942883663`*^9}},ExpressionUUID->"32e7008b-cea2-4d34-bd7e-\ 3536b5c2db00"], Cell[TextData[{ "Un concepto fundamental de ", StyleBox["Mathematica", FontSlant->"Italic"], " son las listas (", StyleBox["List", "Input"], "). Las listas o dominios se escriben entre llaves con los elementos \ separados por comas: {a, b, c}. ", StyleBox["Mathematica", FontSlant->"Italic"], " convierte los datos importados a formato de lista." }], "Text", CellFrame->{{0.5, 3}, {3, 0.5}}, CellChangeTimes->{{3.4838528384143887`*^9, 3.483852867615059*^9}, { 3.4943292535241933`*^9, 3.4943292710118237`*^9}, {3.4943295498779135`*^9, 3.4943295783635635`*^9}, {3.4943300148679304`*^9, 3.4943300336971636`*^9}, 3.4947769326562924`*^9, {3.500966093792651*^9, 3.5009661160899267`*^9}, { 3.5036631840396433`*^9, 3.5036631975804667`*^9}, {3.503984990092497*^9, 3.5039849918085*^9}, {3.503985041198187*^9, 3.503985075627447*^9}, { 3.503985109807107*^9, 3.5039851589315934`*^9}, {3.503986134267053*^9, 3.5039861396022625`*^9}, {3.5042731355825787`*^9, 3.504273191617877*^9}, 3.506581295738103*^9, {3.506777503653862*^9, 3.506777507725469*^9}, { 3.514572746480855*^9, 3.514572770848098*^9}, 3.515234836955309*^9, { 3.526832711983382*^9, 3.526832717614992*^9}, {3.5270541215768137`*^9, 3.5270541215768137`*^9}, 3.539160170195018*^9, 3.541783139965612*^9, { 3.541783219432152*^9, 3.5417832852954674`*^9}},ExpressionUUID->"fd1988df-b5f6-45c0-8a37-\ f8920bfb7143"], Cell[TextData[{ "Creamos una lista de sublistas utilizando ", StyleBox["n\[UAcute]meros aleatorios", FontColor->GrayLevel[0]], "." }], "Text", CellChangeTimes->{{3.494396230971875*^9, 3.494396235639142*^9}, { 3.494403478214384*^9, 3.4944035630245447`*^9}, {3.4944284955225163`*^9, 3.4944285474550076`*^9}, {3.4944286424545794`*^9, 3.4944286588814077`*^9}, 3.494429902356428*^9, {3.4944807331252604`*^9, 3.4944807339520617`*^9}, { 3.4947806432186203`*^9, 3.494780646479026*^9}, 3.496490404526495*^9, 3.4964910328965855`*^9, {3.4975396227477307`*^9, 3.4975396451181307`*^9}, 3.5391601702290196`*^9, {3.5408738190890436`*^9, 3.540873833097868*^9}, 3.541937246566372*^9},ExpressionUUID->"9ce78d41-302b-409d-8232-\ 2a4d0127f46c"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"mat", "=", RowBox[{"RandomInteger", "[", RowBox[{"10", ",", RowBox[{"{", RowBox[{"5", ",", "5"}], "}"}]}], "]"}]}]], "Input", CellChangeTimes->{{3.3867065458506117`*^9, 3.386706568382006*^9}, 3.387119269453125*^9, 3.394194943859375*^9, {3.3997353821875*^9, 3.399735391484375*^9}, 3.494429902356428*^9, 3.5391601702300196`*^9}, FontColor->GrayLevel[0], Background->GrayLevel[1], CellLabel->"In[45]:=",ExpressionUUID->"b15ff06f-ab30-48eb-8fb5-850792464189"], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{"8", ",", "8", ",", "10", ",", "6", ",", "3"}], "}"}], ",", RowBox[{"{", RowBox[{"10", ",", "2", ",", "3", ",", "8", ",", "5"}], "}"}], ",", RowBox[{"{", RowBox[{"7", ",", "7", ",", "0", ",", "0", ",", "6"}], "}"}], ",", RowBox[{"{", RowBox[{"4", ",", "6", ",", "8", ",", "9", ",", "4"}], "}"}], ",", RowBox[{"{", RowBox[{"3", ",", "4", ",", "1", ",", "10", ",", "5"}], "}"}]}], "}"}]], "Output", CellChangeTimes->{3.762608395289281*^9}, CellLabel->"Out[45]=",ExpressionUUID->"7336c856-db2c-4e0c-a7c4-08d62c95dc45"] }, Open ]], Cell[TextData[{ "Una lista de sublistas podemos interpretarla como una matriz. Si se desea \ podemos representarla como tal", StyleBox[".", FontColor->GrayLevel[0]] }], "Text", CellChangeTimes->{{3.494403577136565*^9, 3.4944036135786767`*^9}, 3.494428500342924*^9, {3.494428552041415*^9, 3.4944285574078245`*^9}, 3.494429902356428*^9, 3.4947806522978363`*^9, {3.497539679266531*^9, 3.4975396958181305`*^9}, 3.515080661399079*^9, 3.53916017023102*^9, { 3.5408738459990907`*^9, 3.5408738953731775`*^9}},ExpressionUUID->"329774a9-d1d2-4f21-9327-\ b49529662953"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"MatrixForm", "[", "mat", "]"}]], "Input", CellChangeTimes->{{3.39973539771875*^9, 3.39973540075*^9}, 3.494429902356428*^9, 3.53916017023202*^9}, FontColor->GrayLevel[0], Background->GrayLevel[1], CellLabel->"In[46]:=",ExpressionUUID->"54754b0d-af91-468e-8dc3-2fbb40447794"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"8", "8", "10", "6", "3"}, {"10", "2", "3", "8", "5"}, {"7", "7", "0", "0", "6"}, {"4", "6", "8", "9", "4"}, {"3", "4", "1", "10", "5"} }, 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]", ")"}], Function[BoxForm`e$, MatrixForm[BoxForm`e$]]]], "Output", CellChangeTimes->{3.7626083954142723`*^9}, CellLabel-> "Out[46]//MatrixForm=",ExpressionUUID->"c2192a69-4695-4e10-9836-\ 739778538f74"] }, Open ]], Cell[TextData[{ "Se dispone de bastantes funciones para ", StyleBox["manejar", FontColor->GrayLevel[0]], " listas (puede consultarse en la ayuda: ", ButtonBox["guide/ListManipulation", BaseStyle->"Link", ButtonData->"paclet:guide/ListManipulation"], " y ", ButtonBox["guide/MatrixOperations", BaseStyle->"Hyperlink", ButtonData->{ URL["http://reference.wolfram.com/mathematica/guide/MatrixOperations.\ html"], None}, ButtonNote-> "http://reference.wolfram.com/mathematica/guide/MatrixOperations.html"], "). Por ejemplo, aqu\[IAcute] extraemos el segundo elemento de la primera \ sublista (Para extraer empleamos [[i,j]] que extrae de la lista i el t\ \[EAcute]rmino j)" }], "Text", CellChangeTimes->{{3.4943962545882263`*^9, 3.494396260366556*^9}, { 3.494428569029845*^9, 3.494428635579562*^9}, 3.4944287229663205`*^9, 3.4944299023720284`*^9, {3.496512433931347*^9, 3.4965124735242167`*^9}, { 3.4975397595753307`*^9, 3.4975397631945305`*^9}, 3.53916017023302*^9, { 3.5393280412390957`*^9, 3.5393280691943445`*^9}, 3.5393304076031084`*^9, { 3.5408739109732046`*^9, 3.540873916495614*^9}, {3.5408739584752884`*^9, 3.5408740081613755`*^9}, {3.5417801889990735`*^9, 3.5417802524443846`*^9}, 3.541937254943587*^9},ExpressionUUID->"d8c39e06-1834-4ae1-af77-\ c762e14bcf52"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"mat", "[", RowBox[{"[", RowBox[{"1", ",", "2"}], "]"}], "]"}]], "Input", CellChangeTimes->{{3.4944288214492936`*^9, 3.4944288370493207`*^9}, 3.4944299023720284`*^9, 3.53916017023402*^9}, CellLabel->"In[47]:=",ExpressionUUID->"72d1d5b6-0603-42e6-9fe7-95fcb3dea89b"], Cell[BoxData["8"], "Output", CellChangeTimes->{3.7626083954298964`*^9}, CellLabel->"Out[47]=",ExpressionUUID->"cc8e3a54-98ff-4105-b145-ffdfd2fe280d"] }, Open ]], Cell["En el ejemplo calculamos la media de cada sublista.", "Text", CellChangeTimes->{{3.541783316417522*^9, 3.5417834028884735`*^9}},ExpressionUUID->"4dcb8fbf-0202-46ae-ab90-\ 70738389a486"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Mean", "[", "mat", "]"}]], "Input", CellChangeTimes->{{3.5417834129192915`*^9, 3.5417834170064983`*^9}}, CellLabel->"In[48]:=",ExpressionUUID->"6eff3c28-d7df-4e6d-a505-1be3458bd245"], Cell[BoxData[ RowBox[{"{", RowBox[{ FractionBox["32", "5"], ",", FractionBox["27", "5"], ",", FractionBox["22", "5"], ",", FractionBox["33", "5"], ",", FractionBox["23", "5"]}], "}"}]], "Output", CellChangeTimes->{3.7626083954611444`*^9}, CellLabel->"Out[48]=",ExpressionUUID->"e2bc1d1f-1d42-4a88-9c4d-f7270306b25f"] }, Open ]], Cell["\<\ Observe que en Mathematica todos las salidas (realmente todo) son listas.\ \>", "Text", CellChangeTimes->{{3.6719680351145244`*^9, 3.6719680878437414`*^9}},ExpressionUUID->"74704bd5-a9ce-4c23-bc4d-\ 03f6ce077ff6"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"sol", "=", " ", RowBox[{"Solve", "[", RowBox[{ RowBox[{ RowBox[{ RowBox[{"3", " ", RowBox[{"x", "^", "2"}]}], " ", "-", " ", RowBox[{"3", " ", "x"}], " ", "-", "2"}], " ", "\[Equal]", "0"}], ",", " ", "x"}], "]"}]}]], "Input", CellChangeTimes->{{3.6719680908646355`*^9, 3.6719681209072404`*^9}, { 3.6719693875695*^9, 3.6719693945663166`*^9}}, CellLabel->"In[49]:=",ExpressionUUID->"a6e88eee-1a0e-4525-9296-5a84c8e0e90c"], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{"x", "\[Rule]", RowBox[{ FractionBox["1", "6"], " ", RowBox[{"(", RowBox[{"3", "-", SqrtBox["33"]}], ")"}]}]}], "}"}], ",", RowBox[{"{", RowBox[{"x", "\[Rule]", RowBox[{ FractionBox["1", "6"], " ", RowBox[{"(", RowBox[{"3", "+", SqrtBox["33"]}], ")"}]}]}], 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BaseStyle->Dynamic[ If[ CurrentValue["MouseOver"], { "Link", FontColor -> RGBColor[0.854902, 0.396078, 0.145098]}, {"Link"}]], ButtonData->"paclet:ref/SemanticImport"]],ExpressionUUID-> "976b2ecb-4ab4-4bf9-9152-ec5c98991020"], " that detects and interprets the type of objects imported." }], "Text", CellChangeTimes->{{3.6338757887620735`*^9, 3.6338757887620735`*^9}, { 3.6338758233560886`*^9, 3.6338758983475127`*^9}, {3.6338759367005835`*^9, 3.633875937200589*^9}, {3.6338769155767145`*^9, 3.6338769373201303`*^9}, { 3.638855173879627*^9, 3.63885520951571*^9}, {3.6391167259230747`*^9, 3.639116726574645*^9}},ExpressionUUID->"87a0e7e5-1bcd-4110-8a70-\ 3f98c0e02fe3"], Cell["We import sales data for different cities and dates.", "Item", CellChangeTimes->{{3.6338759557324667`*^9, 3.633876012889305*^9}, { 3.638855222714855*^9, 3.638855242905425*^9}, {3.638855318344108*^9, 3.6388553188608103`*^9}},ExpressionUUID->"a275fe90-fb33-4943-a7bf-\ 579429a2d68d"], Cell[BoxData[ RowBox[{"sales", "=", 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In ", StyleBox["Mathematica,", FontSlant->"Italic"], " objects with these properties are called entities (", Cell[BoxData[ ButtonBox[Cell[ "Entity",ExpressionUUID->"100e5a98-97b1-46e7-94c9-2ba6215ff2b0"], BaseStyle->Dynamic[ If[ CurrentValue["MouseOver"], { "Link", FontColor -> RGBColor[0.854902, 0.396078, 0.145098]}, {"Link"}]], ButtonData->"paclet:ref/Entity"]],ExpressionUUID-> "36c1ec56-1e8c-4aa7-ab0b-efbce28c929b"], ") and have certain characteristics that we will explore later on. For \ example: If you hover the mouse over Boston, the following message will \ appear on the screen: ", StyleBox["Entity", "Input"], "[\[OpenCurlyDoubleQuote]City\[CloseCurlyDoubleQuote], \ \[OpenCurlyDoubleQuote]Boston\[CloseCurlyDoubleQuote], \ \[OpenCurlyDoubleQuote]Massachusetts\[CloseCurlyDoubleQuote], \ \[OpenCurlyDoubleQuote]UnitedStates\[CloseCurlyDoubleQuote]], that is, the \ data point refers to the city located in Massachusetts (USA) and not to other \ less famous Boston cities that might exist. 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Cell[CellGroupData[{ Cell["Exportar", "Subsection", CellChangeTimes->{{3.485266141512898*^9, 3.485266143957038*^9}, { 3.485266230925012*^9, 3.485266233808177*^9}},ExpressionUUID->"d4be3524-ffa4-4305-90c0-\ 86ae469ff2e4"], Cell[TextData[StyleBox["La funci\[OAcute]n para exportar datos es ", \ "Text"]], "Text", CellChangeTimes->{{3.4822056253060255`*^9, 3.482205640781225*^9}, 3.4822056724492254`*^9, 3.4852653927220697`*^9},ExpressionUUID->"12c73787-e443-4339-b1b5-\ fa90572756c4"], Cell[TextData[{ StyleBox["Export[\"", "MR"], StyleBox["file", "IT"], StyleBox["\",", "MR"], StyleBox[" expr", "IT"], StyleBox[",", "MR"], StyleBox[" format", "IT"], StyleBox["]", "MR"], ": exporta el contenido de ", StyleBox["expr", FontSlant->"Italic"], " hacia el fichero ", StyleBox["file", FontSlant->"Italic"], " en formato ", StyleBox["format", FontSlant->"Italic"], " especificado." }], "Item", CellChangeTimes->{{3.4822055708776255`*^9, 3.482205616975625*^9}},ExpressionUUID->"7ee19f2f-1cf7-4c91-a6ce-\ 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Open ]], Cell["\<\ Se pretende analizar c\[OAcute]mo se distribuye la poblaci\[OAcute]n espa\ \[NTilde]ola por municipios seg\[UAcute]n su n\[UAcute]mero de habitantes. No \ pretende ser un estudio riguroso, simplemente es un esbozo de c\[OAcute]mo \ podr\[IAcute]amos afrontar un estudio estad\[IAcute]stico.\ \>", "Text", CellChangeTimes->{{3.5253289805168104`*^9, 3.5253290907911177`*^9}, { 3.525329700843011*^9, 3.525329725727434*^9}, {3.525442452319785*^9, 3.5254425136590924`*^9}, {3.525442581207211*^9, 3.5254426530921373`*^9}, { 3.5254426917490053`*^9, 3.5254427455979*^9}, {3.525442783225166*^9, 3.525442783225166*^9}, {3.5254428233640366`*^9, 3.5254428477312794`*^9}, { 3.525443268869619*^9, 3.525443291240058*^9}, {3.5254433952610407`*^9, 3.525443432420306*^9}, {3.525443465507964*^9, 3.525443534896886*^9}, { 3.525443665001115*^9, 3.525443676794735*^9}, {3.525443714437601*^9, 3.5254437412852488`*^9}, {3.525443777399312*^9, 3.5254437821885204`*^9}, 3.525445826817312*^9, {3.525446219204801*^9, 3.525446310449361*^9}, { 3.525447548186735*^9, 3.5254475615559587`*^9}, {3.525533757949953*^9, 3.5255338166996565`*^9}, {3.526367021875*^9, 3.5263670221875*^9}, { 3.5275070047385817`*^9, 3.5275070235366154`*^9}, {3.5527194848128805`*^9, 3.5527194962945004`*^9}, {3.573455271734296*^9, 3.5734552760225415`*^9}},ExpressionUUID->"8e55cf09-44b6-4292-8d68-\ 649323247add"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"CityData", "[", RowBox[{"\"\\"", ",", " ", "\"\\""}], "]"}]], "Input", CellChangeTimes->{{3.762662969869855*^9, 3.7626629738227243`*^9}}, CellLabel->"In[18]:=",ExpressionUUID->"123938e5-e3aa-4106-ba9f-986c1d674114"], Cell[BoxData[ TemplateBox[{"159754","\"people\"","people","\"People\""}, "Quantity"]], "Output", CellChangeTimes->{3.762662977182863*^9}, CellLabel->"Out[18]=",ExpressionUUID->"2fc6c3c6-04fb-4a1b-bfe0-919d80ca7126"] }, Open ]], Cell["\<\ La funcion CityData[{All, \"Spain\"}] nos dara los nombre de todas los \ municicipios espa\[NTilde]olae, podemos ahora aplicarla para obtener la \ poblacion de totos los municipios espa\[NTilde]oles\ \>", "Text", CellChangeTimes->{{3.762663004875907*^9, 3.762663074260496*^9}},ExpressionUUID->"21cf60d0-811a-48ab-9cc7-\ 76f8ec771082"], Cell[BoxData[ RowBox[{ RowBox[{"poblacionciudades", "=", RowBox[{ RowBox[{ RowBox[{"CityData", "[", RowBox[{"#", ",", " ", "\"\\""}], "]"}], "&"}], " ", "/@", " ", RowBox[{"CityData", "[", RowBox[{"{", RowBox[{"All", ",", " ", "\"\\""}], "}"}], "]"}]}]}], ";"}]], "Input", CellChangeTimes->{ 3.5254431400133924`*^9, {3.52544317856106*^9, 3.5254432031935034`*^9}, { 3.525443608841016*^9, 3.5254436297762527`*^9}}, CellLabel->"In[10]:=",ExpressionUUID->"528ebc3a-fc82-4b9d-a290-7318d45b7847"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Length", "[", "poblacionciudades", "]"}]], "Input", CellChangeTimes->{{3.525443746214857*^9, 3.525443765902092*^9}}, CellLabel->"In[11]:=",ExpressionUUID->"4284175b-5c43-47ee-ab25-a22467d2d18d"], Cell[BoxData["8066"], "Output", CellChangeTimes->{3.527592338261791*^9, 3.629436465925805*^9, 3.629436776778653*^9, 3.7626626144470825`*^9}, CellLabel->"Out[11]=",ExpressionUUID->"84737559-5c60-410b-b16d-7ac6374b6d11"] }, Open ]], Cell["\<\ A continuaci\[OAcute]n hacemos un primer an\[AAcute]lisis de los datos para \ lo que suele ser muy \[UAcute]til su representaci\[OAcute]n gr\[AAcute]fica. \ Calculamos los estad\[IAcute]sticos m\[AAcute]s comunes. \ \>", "Text", CellChangeTimes->{{3.525329847495399*^9, 3.525329961016892*^9}, { 3.5254443108266487`*^9, 3.5254443511527195`*^9}, 3.5254458441801424`*^9, { 3.527507042755849*^9, 3.5275070489490595`*^9}, 3.552719604699091*^9},ExpressionUUID->"b1fcf185-9493-45c5-b53f-\ 92ac13ec8ed9"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{ RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"Mean", "[", "#", "]"}], ",", RowBox[{"StandardDeviation", "[", "#", "]"}], ",", RowBox[{"Skewness", "[", "#", "]"}], ",", RowBox[{"Kurtosis", "[", "#", "]"}], ",", RowBox[{"Quantile", "[", RowBox[{"#", ",", ".6"}], "]"}], ",", RowBox[{"InterquartileRange", "[", "#", "]"}]}], "}"}], "&"}], "[", "poblacionciudades", "]"}], "//", "N"}]], "Input", CellChangeTimes->{{3.4822093481212254`*^9, 3.4822094692084255`*^9}, { 3.482209530064025*^9, 3.482209537926425*^9}, 3.5072076416806407`*^9, { 3.525445673235042*^9, 3.5254457297695413`*^9}}, CellLabel->"In[12]:=",ExpressionUUID->"0a14ff4d-223b-47d3-88bc-5301b787d028"], Cell[BoxData[ RowBox[{"{", RowBox[{ TemplateBox[{"5564.94706174064`","\"people\"","people","\"People\""}, "Quantity"], ",", TemplateBox[{"47334.14886563424`","\"people\"","people","\"People\""}, "Quantity"], ",", "47.931123306603965`", ",", "3010.3169485121944`", ",", TemplateBox[{"980.`","\"people\"","people","\"People\""}, "Quantity"], ",", TemplateBox[{"2168.`","\"people\"","people","\"People\""}, "Quantity"]}], "}"}]], "Output", CellChangeTimes->{3.5275923384957914`*^9, 3.629436466535196*^9, 3.6294367774192777`*^9, 3.762662614947048*^9}, CellLabel->"Out[12]=",ExpressionUUID->"f4f68236-33c5-4807-b05d-d83efb859472"] }, Open ]], Cell["\<\ Observamos que \[EAcute]stos presentan una fuerte asimetr\[IAcute]a. 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CellChangeTimes->{3.757687148440054*^9}, CellLabel->"In[13]:=", CellID->697610543,ExpressionUUID->"76b0b950-0c06-4bda-b94b-869c808c5d8a"], Cell[BoxData[ FormBox[ TemplateBox[{TagBox[ DynamicModuleBox[{ TypeSystem`NestedGrid`PackagePrivate`$state$$ = Data`UnorderedAssociation[ "RowCount" -> 5, "Length" -> 5, "InitialType" -> TypeSystem`Assoc[TypeSystem`AnyType, TypeSystem`Struct[{"Score", "Error", "Complexity"}, { TypeSystem`Atom[Real], TypeSystem`Atom[Real], TypeSystem`Atom[Integer]}], 5], "Shape" -> TypeSystem`PackageScope`HeaderShape[ Association[{All, TypeSystem`PackageScope`KeyDummy[2]} -> 1, {All, "Score"} -> 1, {All, "Error"} -> 1, {All, "Complexity"} -> 1], TypeSystem`PackageScope`Limited[ TypeSystem`PackageScope`ColumnShape[ TypeSystem`PackageScope`KeyValueShape[ TypeSystem`PackageScope`UnknownShape, TypeSystem`PackageScope`RowShape[ Association[ "Score" -> TypeSystem`PackageScope`AtomShape[60], "Error" -> TypeSystem`PackageScope`AtomShape[60], "Complexity" -> TypeSystem`PackageScope`AtomShape[34]]]]], 5, {}]], "InitialData" -> TypeSystem`PackageScope`CacheHandle[2003599891], "Type" -> TypeSystem`Assoc[TypeSystem`AnyType, TypeSystem`Struct[{"Score", "Error", "Complexity"}, { TypeSystem`Atom[Real], TypeSystem`Atom[Real], TypeSystem`Atom[Integer]}], 5], "HandleQ" -> True, "RowTarget" -> 20, "Data" -> TypeSystem`PackageScope`CacheHandle[2003599891]], TypeSystem`NestedGrid`PackagePrivate`$path$$ = {}, TypeSystem`NestedGrid`PackagePrivate`$pos$$ = 1, TypeSystem`NestedGrid`PackagePrivate`$grid$$ = DynamicModule[{ TypeSystem`NestedGrid`PackagePrivate`renderedGrid = Deploy[ Style[ Grid[{{ Item[ Annotation[ EventHandler[ MouseAppearance[ Mouseover[ Pane[ Style[ RawBoxes[ StyleBox["\"\"", FontColor -> GrayLevel[0.4]]], Italic, GrayLevel[0.7]], {{20, Full}, 15}], Style[ Pane[ Style[ RawBoxes[ StyleBox[ "\"\"", FontColor -> RGBColor[ 0.27450980392156865`, 0.5372549019607843, 0.792156862745098]]], Italic, GrayLevel[0.7]], {{20, Full}, 15}], FontColor -> RGBColor[ 0.27450980392156865`, 0.5372549019607843, 0.792156862745098]]], "LinkHand"], {"MouseClicked", 1} :> TypeSystem`NestedGrid`PackagePrivate`updateState[ TypeSystem`NestedGrid`PackagePrivate`$state$$, TypeSystem`NestedGrid`PackagePrivate`$path$$, TypeSystem`NestedGrid`PackagePrivate`$pos$$, TypeSystem`NestedGrid`PackagePrivate`$grid$$, 847133994][{ All, Keys}]], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[All, Keys]], "Mouse"], Background -> GrayLevel[0.95], Alignment -> {Left, Baseline}], Item[ Annotation[ EventHandler[ MouseAppearance[ Mouseover[ Pane[ RawBoxes[ StyleBox["\"Score\"", FontColor -> GrayLevel[0.4]]], {{ 20, Full}, 15}], Style[ Pane[ RawBoxes[ StyleBox[ "\"Score\"", FontColor -> RGBColor[ 0.27450980392156865`, 0.5372549019607843, 0.792156862745098]]], {{20, Full}, 15}], FontColor -> RGBColor[ 0.27450980392156865`, 0.5372549019607843, 0.792156862745098]]], "LinkHand"], {"MouseClicked", 1} :> TypeSystem`NestedGrid`PackagePrivate`updateState[ TypeSystem`NestedGrid`PackagePrivate`$state$$, TypeSystem`NestedGrid`PackagePrivate`$path$$, TypeSystem`NestedGrid`PackagePrivate`$pos$$, TypeSystem`NestedGrid`PackagePrivate`$grid$$, 847133994][{ All, "Score"}]], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[All, "Score"]], "Mouse"], Background -> GrayLevel[0.95], Alignment -> {Left, Baseline}], Item[ Annotation[ EventHandler[ MouseAppearance[ Mouseover[ Pane[ RawBoxes[ StyleBox["\"Error\"", FontColor -> GrayLevel[0.4]]], {{ 20, Full}, 15}], Style[ Pane[ RawBoxes[ StyleBox[ "\"Error\"", FontColor -> RGBColor[ 0.27450980392156865`, 0.5372549019607843, 0.792156862745098]]], {{20, Full}, 15}], FontColor -> RGBColor[ 0.27450980392156865`, 0.5372549019607843, 0.792156862745098]]], "LinkHand"], {"MouseClicked", 1} :> TypeSystem`NestedGrid`PackagePrivate`updateState[ TypeSystem`NestedGrid`PackagePrivate`$state$$, TypeSystem`NestedGrid`PackagePrivate`$path$$, TypeSystem`NestedGrid`PackagePrivate`$pos$$, TypeSystem`NestedGrid`PackagePrivate`$grid$$, 847133994][{ All, "Error"}]], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[All, "Error"]], "Mouse"], Background -> GrayLevel[0.95], Alignment -> {Left, Baseline}], Item[ Annotation[ EventHandler[ MouseAppearance[ Mouseover[ Pane[ RawBoxes[ StyleBox[ "\"Complexity\"", FontColor -> GrayLevel[0.4]]], {{ 20, Full}, 15}], Style[ Pane[ RawBoxes[ StyleBox[ "\"Complexity\"", FontColor -> RGBColor[ 0.27450980392156865`, 0.5372549019607843, 0.792156862745098]]], {{20, Full}, 15}], FontColor -> RGBColor[ 0.27450980392156865`, 0.5372549019607843, 0.792156862745098]]], "LinkHand"], {"MouseClicked", 1} :> TypeSystem`NestedGrid`PackagePrivate`updateState[ TypeSystem`NestedGrid`PackagePrivate`$state$$, TypeSystem`NestedGrid`PackagePrivate`$path$$, TypeSystem`NestedGrid`PackagePrivate`$pos$$, TypeSystem`NestedGrid`PackagePrivate`$grid$$, 847133994][{ All, "Complexity"}]], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[All, "Complexity"]], "Mouse"], Background -> GrayLevel[0.95], Alignment -> {Left, Baseline}]}, { Item[ Pane[ Pane[ Annotation[ RawBoxes[ StyleBox[ RowBox[{ RowBox[{ RowBox[{"-", "1.`"}], " ", "x"}], "+", RowBox[{"2.`", " ", RowBox[{"Sin", "[", "x", "]"}]}]}], FontFamily -> "Source Code Pro", FontSize -> 13, ShowStringCharacters -> True]], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[ 847133994][ GeneralUtilities`Slice[ Key[-$CellContext`x + 2. Sin[$CellContext`x]]]], "Mouse"], ImageSize -> {{60, Full}, Automatic}, Alignment -> {Left, Baseline}], ImageSize -> {{60, Full}, Automatic}], Background -> GrayLevel[0.95], Alignment -> {Left, Baseline}], Pane[ Annotation[ RawBoxes["1.88204"], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[ Key[-$CellContext`x + 2. Sin[$CellContext`x]], Key["Score"]]], "Mouse"], ImageSize -> {{60, Full}, Automatic}, Alignment -> {Left, Baseline}], Pane[ Annotation[ RawBoxes["0.0382507"], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[ Key[-$CellContext`x + 2. Sin[$CellContext`x]], Key["Error"]]], "Mouse"], ImageSize -> {{60, Full}, Automatic}, Alignment -> {Left, Baseline}], Pane[ Annotation[ RawBoxes["12"], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[ Key[-$CellContext`x + 2. Sin[$CellContext`x]], Key["Complexity"]]], "Mouse"], ImageSize -> {{34, Full}, Automatic}, Alignment -> {Left, Baseline}]}, { Item[ Pane[ Pane[ Annotation[ RawBoxes[ StyleBox[ RowBox[{ RowBox[{"0.032293250811969265`", "\[VeryThinSpace]"}], "-", RowBox[{"0.9968331941401549`", " ", "x"}], "+", RowBox[{"2.015495350393068`", " ", RowBox[{"Sin", "[", "x", "]"}]}]}], FontFamily -> "Source Code Pro", FontSize -> 13, ShowStringCharacters -> True]], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[ 847133994][ GeneralUtilities`Slice[ Key[ 0.032293250811969265` - 0.9968331941401549 $CellContext`x + 2.015495350393068 Sin[$CellContext`x]]]], "Mouse"], ImageSize -> {{60, Full}, Automatic}, Alignment -> {Left, Baseline}], ImageSize -> {{60, Full}, Automatic}], Background -> GrayLevel[0.95], Alignment -> {Left, Baseline}], Pane[ Annotation[ RawBoxes["1.80686"], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[ Key[ 0.032293250811969265` - 0.9968331941401549 $CellContext`x + 2.015495350393068 Sin[$CellContext`x]], Key["Score"]]], "Mouse"], ImageSize -> {{60, Full}, Automatic}, Alignment -> {Left, Baseline}], Pane[ Annotation[ RawBoxes["0.0367528"], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[ Key[ 0.032293250811969265` - 0.9968331941401549 $CellContext`x + 2.015495350393068 Sin[$CellContext`x]], Key["Error"]]], "Mouse"], ImageSize -> {{60, Full}, Automatic}, Alignment -> {Left, Baseline}], Pane[ Annotation[ RawBoxes["13"], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[ Key[ 0.032293250811969265` - 0.9968331941401549 $CellContext`x + 2.015495350393068 Sin[$CellContext`x]], Key["Complexity"]]], "Mouse"], ImageSize -> {{34, Full}, Automatic}, Alignment -> {Left, Baseline}]}, { Item[ Pane[ Pane[ Annotation[ RawBoxes[ StyleBox[ RowBox[{ RowBox[{"0.0325630522306128`", "\[VeryThinSpace]"}], "-", RowBox[{"0.9966908563843929`", " ", "x"}], "+", RowBox[{"2.0520317825458436`", " ", RowBox[{"Sin", "[", "x", "]"}]}]}], FontFamily -> "Source Code Pro", FontSize -> 13, ShowStringCharacters -> True]], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[ 847133994][ GeneralUtilities`Slice[ Key[ 0.0325630522306128 - 0.9966908563843929 $CellContext`x + 2.0520317825458436` Sin[$CellContext`x]]]], "Mouse"], ImageSize -> {{60, Full}, Automatic}, Alignment -> {Left, Baseline}], ImageSize -> {{60, Full}, Automatic}], Background -> GrayLevel[0.95], Alignment -> {Left, Baseline}], Pane[ Annotation[ RawBoxes["1.78946"], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[ Key[ 0.0325630522306128 - 0.9966908563843929 $CellContext`x + 2.0520317825458436` Sin[$CellContext`x]], Key["Score"]]], "Mouse"], ImageSize -> {{60, Full}, Automatic}, Alignment -> {Left, Baseline}], Pane[ Annotation[ RawBoxes["0.037398"], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[ Key[ 0.0325630522306128 - 0.9966908563843929 $CellContext`x + 2.0520317825458436` Sin[$CellContext`x]], Key["Error"]]], "Mouse"], ImageSize -> {{60, Full}, Automatic}, Alignment -> {Left, Baseline}], Pane[ Annotation[ RawBoxes["13"], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[ Key[ 0.0325630522306128 - 0.9966908563843929 $CellContext`x + 2.0520317825458436` Sin[$CellContext`x]], Key["Complexity"]]], "Mouse"], ImageSize -> {{34, Full}, Automatic}, Alignment -> {Left, Baseline}]}, { Item[ Pane[ Pane[ Annotation[ RawBoxes[ StyleBox[ RowBox[{ RowBox[{"0.03639576886811914`", "\[VeryThinSpace]"}], "-", RowBox[{"0.9945443041220032`", " ", "x"}], "+", RowBox[{"2.2782317641535452`", " ", RowBox[{"Sin", "[", RowBox[{"Sin", "[", "x", "]"}], "]"}]}]}], FontFamily -> "Source Code Pro", FontSize -> 13, ShowStringCharacters -> True]], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[ 847133994][ GeneralUtilities`Slice[ Key[ 0.03639576886811914 - 0.9945443041220032 $CellContext`x + 2.2782317641535452` Sin[ Sin[$CellContext`x]]]]], "Mouse"], ImageSize -> {{60, Full}, Automatic}, Alignment -> {Left, Baseline}], ImageSize -> {{60, Full}, Automatic}], Background -> GrayLevel[0.95], Alignment -> {Left, Baseline}], Pane[ Annotation[ RawBoxes["1.48469"], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[ Key[ 0.03639576886811914 - 0.9945443041220032 $CellContext`x + 2.2782317641535452` Sin[ Sin[$CellContext`x]]], Key["Score"]]], "Mouse"], ImageSize -> {{60, Full}, Automatic}, Alignment -> {Left, Baseline}], Pane[ Annotation[ RawBoxes["0.0402907"], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[ Key[ 0.03639576886811914 - 0.9945443041220032 $CellContext`x + 2.2782317641535452` Sin[ Sin[$CellContext`x]]], Key["Error"]]], "Mouse"], ImageSize -> {{60, Full}, Automatic}, Alignment -> {Left, Baseline}], Pane[ Annotation[ RawBoxes["15"], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[ Key[ 0.03639576886811914 - 0.9945443041220032 $CellContext`x + 2.2782317641535452` Sin[ Sin[$CellContext`x]]], Key["Complexity"]]], "Mouse"], ImageSize -> {{34, Full}, Automatic}, Alignment -> {Left, Baseline}]}, { Item[ Pane[ Pane[ Annotation[ RawBoxes[ StyleBox[ RowBox[{ RowBox[{ RowBox[{"-", "1.0154736389065062`"}], " ", "x"}], "+", RowBox[{"2.370505502487715`", " ", RowBox[{"Sin", "[", RowBox[{"Sin", "[", "x", "]"}], "]"}]}]}], FontFamily -> "Source Code Pro", FontSize -> 13, ShowStringCharacters -> True]], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[ 847133994][ GeneralUtilities`Slice[ Key[(-1.0154736389065062`) $CellContext`x + 2.370505502487715 Sin[ Sin[$CellContext`x]]]]], "Mouse"], ImageSize -> {{60, Full}, Automatic}, Alignment -> {Left, Baseline}], ImageSize -> {{60, Full}, Automatic}], Background -> GrayLevel[0.95], Alignment -> {Left, Baseline}], Pane[ Annotation[ RawBoxes["1.26403"], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[ Key[(-1.0154736389065062`) $CellContext`x + 2.370505502487715 Sin[ Sin[$CellContext`x]]], Key["Score"]]], "Mouse"], ImageSize -> {{60, Full}, Automatic}, Alignment -> {Left, Baseline}], Pane[ Annotation[ RawBoxes["0.0563687"], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[ Key[(-1.0154736389065062`) $CellContext`x + 2.370505502487715 Sin[ Sin[$CellContext`x]]], Key["Error"]]], "Mouse"], ImageSize -> {{60, Full}, Automatic}, Alignment -> {Left, Baseline}], Pane[ Annotation[ RawBoxes["14"], TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ GeneralUtilities`Slice[ Key[(-1.0154736389065062`) $CellContext`x + 2.370505502487715 Sin[ Sin[$CellContext`x]]], Key["Complexity"]]], "Mouse"], ImageSize -> {{34, Full}, Automatic}, Alignment -> {Left, Baseline}]}}, BaseStyle -> {ContextMenu -> { MenuItem["Copy position to clipboard", KernelExecute[ TypeSystem`NestedGrid`PackagePrivate`toCurrentPosition[ TypeSystem`NestedGrid`PackagePrivate`copyClip]], MenuEvaluator -> Automatic], MenuItem["Copy data to clipboard", KernelExecute[ TypeSystem`NestedGrid`PackagePrivate`toCurrentData[ TypeSystem`NestedGrid`PackagePrivate`$state$$, TypeSystem`NestedGrid`PackagePrivate`copyClip]], MenuEvaluator -> Automatic], Delimiter, MenuItem["Paste position in new cell", KernelExecute[ TypeSystem`NestedGrid`PackagePrivate`toCurrentPosition[ TypeSystem`NestedGrid`PackagePrivate`cellPaste]], MenuEvaluator -> Automatic], MenuItem["Paste data in new cell", KernelExecute[ TypeSystem`NestedGrid`PackagePrivate`toCurrentData[ TypeSystem`NestedGrid`PackagePrivate`$state$$, TypeSystem`NestedGrid`PackagePrivate`cellPaste]], MenuEvaluator -> Automatic]}, FontFamily -> "Verdana", FontSize -> 12}, Alignment -> Left, RowMinHeight -> 1.5, Dividers -> All, FrameStyle -> GrayLevel[0.85], BaseStyle -> {FontFamily -> "Verdana", FontSize -> 12}], LineBreakWithin -> False, ContextMenu -> {}, NumberMarks -> False, ShowAutoStyles -> False]], TypeSystem`NestedGrid`PackagePrivate`initialQ = True, TypeSystem`NestedGrid`PackagePrivate`self = $Failed}, Dynamic[ TypeSystem`NestedGrid`PackagePrivate`setupViewPath[ TypeSystem`NestedGrid`PackagePrivate`$path$$, If[ Not[TypeSystem`NestedGrid`PackagePrivate`initialQ], Module[{TypeSystem`NestedGrid`PackagePrivate`tmpGrid$ = $Failed, TypeSystem`NestedGrid`PackagePrivate`tmpData$ = TypeSystem`NestedGrid`PackagePrivate`LookupCacheValue[ TypeSystem`NestedGrid`PackagePrivate`$state$$["Data"]]}, TypeSystem`NestedGrid`PackagePrivate`tmpGrid$ = If[TypeSystem`NestedGrid`PackagePrivate`tmpData$ === TypeSystem`NestedGrid`PackagePrivate`$NotCached, TypeSystem`NestedGrid`PackagePrivate`renderedGrid, TypeSystem`NestedGrid`PackagePrivate`renderGrid[ TypeSystem`NestedGrid`PackagePrivate`$state$$, TypeSystem`NestedGrid`PackagePrivate`$path$$, TypeSystem`NestedGrid`PackagePrivate`$pos$$, TypeSystem`NestedGrid`PackagePrivate`$grid$$, 847133994][ TypeSystem`NestedGrid`PackagePrivate`tmpData$]]; If[ Not[ FailureQ[TypeSystem`NestedGrid`PackagePrivate`tmpGrid$]], TypeSystem`NestedGrid`PackagePrivate`renderedGrid = TypeSystem`NestedGrid`PackagePrivate`tmpGrid$]; Null]]; TypeSystem`NestedGrid`PackagePrivate`initialQ = False; TypeSystem`NestedGrid`PackagePrivate`$pos$$; If[ FailureQ[TypeSystem`NestedGrid`PackagePrivate`renderedGrid], TypeSystem`SparseGrid[ TypeSystem`H["(data no longer present)"]], If[GeneralUtilities`$DebugMode, Row[{TypeSystem`NestedGrid`PackagePrivate`renderedGrid, " ", TypeSystem`NestedGrid`PackagePrivate`formatState[ TypeSystem`NestedGrid`PackagePrivate`$state$$, TypeSystem`NestedGrid`PackagePrivate`$path$$, TypeSystem`NestedGrid`PackagePrivate`$pos$$]}], TypeSystem`NestedGrid`PackagePrivate`renderedGrid]]], TrackedSymbols :> {TypeSystem`NestedGrid`PackagePrivate`$pos$$}], DynamicModuleValues :> {}], TypeSystem`NestedGrid`PackagePrivate`$posCell$$, TypeSystem`NestedGrid`PackagePrivate`$topBar$$ = Dynamic[ TypeSystem`NestedGrid`PackagePrivate`alignBar[ TypeSystem`NestedGrid`PackagePrivate`$state$$][ TypeSystem`NestedGrid`PackagePrivate`makeFramedBar[ TypeSystem`PackageScope`Pathbar[ TypeSystem`NestedGrid`PackagePrivate`$path$$, TypeSystem`NestedGrid`PackagePrivate`updateState[ TypeSystem`NestedGrid`PackagePrivate`$state$$, TypeSystem`NestedGrid`PackagePrivate`$path$$, TypeSystem`NestedGrid`PackagePrivate`$pos$$, TypeSystem`NestedGrid`PackagePrivate`$grid$$, 847133994]]]], TrackedSymbols :> {TypeSystem`NestedGrid`PackagePrivate`$path$$}], TypeSystem`NestedGrid`PackagePrivate`$bottomBar$$ = Framed[ Dynamic[ Replace[ MouseAnnotation[Null], { TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][Null] -> "", TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[847133994][ Pattern[TypeSystem`NestedGrid`PackagePrivate`path, Blank[]]] :> ( TypeSystem`NestedGrid`PackagePrivate`$lastPath = TypeSystem`NestedGrid`PackagePrivate`path; 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