(************** Content-type: application/mathematica ************** Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 65123, 2054]*) (*NotebookOutlinePosition[ 66121, 2089]*) (* CellTagsIndexPosition[ 66040, 2083]*) (*WindowFrame->Normal*) Notebook[{ Cell["Getting Started", "Title", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ StyleBox["Mathematica", FontSlant->"Italic"], " is divided into two parts: a Front End that handles interaction with the \ user and a Kernel that does computations." }], "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ "Documents in ", StyleBox["Mathematica", FontSlant->"Italic"], " are called Notebooks. Many of the operations of the ", StyleBox["Mathematica", FontSlant->"Italic"], " front end are concerned with the creation and manipulation of Notebooks. \ The ultimate purpose of the front end, however, is to prepare input to and \ show output from the kernel. " }], "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ "The Kernel Help Notebooks give many examples of computations you can do \ with ", StyleBox["Mathematica ", FontSlant->"Italic"], ", Version 2. For a complete introduction to the ", StyleBox["Mathematica", FontSlant->"Italic"], " kernel, see ", StyleBox["Mathematica ", FontSlant->"Italic"], ":", StyleBox[" A System for Doing Mathematics by Computer", FontSlant->"Italic"], ", by Stephen Wolfram. " }], "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell["\<\ The next section gives a very brief introduction to Notebooks. For a \ complete description of Notebooks and the front end, see your user's \ manual.\ \>", "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[CellGroupData[{ Cell[TextData[{ StyleBox["Mathematica", FontSlant->"Italic"], " Notebooks" }], "Section", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ StyleBox["Mathematica", FontSlant->"Italic"], " stores information in a kind of document called a Notebook. The \ document you are now reading is itself a ", StyleBox["Mathematica", FontSlant->"Italic"], " Notebook." }], "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ StyleBox["Mathematica", FontSlant->"Italic"], " Notebooks are usually divided into sections. When you first open a \ Notebook, you are usually shown only the headings for the sections. You can \ \"open up\" the sections to see the material inside them. 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To read the other sections of this Notebook, open them \ by double-clicking their brackets. Sections in a notebook may contain \ several layers of subsections. In every case, you can open the next level in \ the hierarchy by double-clicking the angled bracket." }], "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Interacting with the ", StyleBox["Mathematica", FontSlant->"Italic"], " Kernel" }], "Section", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ "In the Kernel Help notebooks you will find many examples of computations \ you can do with ", StyleBox["Mathematica", FontSlant->"Italic"], " . The basic procedure for doing computations with ", StyleBox["Mathematica", FontSlant->"Italic"], " is to enter your input, feed it to the kernel for evaluation, and then \ get back the result. " }], "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[CellGroupData[{ Cell["Preparing Input", "Subsection", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ "Before input to ", StyleBox["Mathematica ", FontSlant->"Italic"], "can be evaluated, it must be entered in a ", StyleBox["Mathematica", FontSlant->"Italic"], " Notebook. ", StyleBox["Mathematica", FontSlant->"Italic"], " Notebooks are divided into units called cells. The brackets on the \ right of the window show where different cells begin and end: \ ---------------------------------------------------> " }], "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell["\<\ There are usually several different styles of cell in a Notebook. The style \ of a cell corresponds to its pupose. For example, there are text cells, \ input cells, output cells, and graphics cells. To find out the type of a \ cell, first select the cell by clicking its cell bracket. If you go to the \ Cell Style submenu of the Style menu, you will find the cell type checked.\ \>", "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ "Any expression you want ", StyleBox["Mathematica", FontSlant->"Italic"], " to evaluate must be in an input cell. You can usually distinguish an \ input cell because the text is in boldface and the font looks like a \ \"typewriter\" font. Here's an example of a typical input cell." }], "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell["Plot[ Sin[x], {x, 0, Pi}]", "Input", ImageRegion->{{0, 1}, {0, 1}}], Cell["\<\ To create a cell, position the pointer between any two cells to get the \ horizontal I-beam (you may have to move the mouse around a bit to find the \ right spot). Once you get the horizontal I-beam, click once and an insertion \ bar will appear across the window. Start typing and the new cell bracket \ will appear. Any new cell you create in this way is automatically an input \ cell. \ \>", "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ "When ", StyleBox["Mathematica", FontSlant->"Italic"], " starts up, it gives you a blank Notebook. The insertion bar is already \ in place at the top of the Notebook. When you begin typing, you will create \ an input cell." }], "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}] }, Closed]], Cell[CellGroupData[{ Cell["Evaluating Input", "Subsection", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ "Once you have entered your input in an input cell, you need to tell the ", StyleBox["Mathematica ", FontSlant->"Italic"], " kernel to evaluate the cell. To evaluate a cell, click the boldface text \ anywhere and press either Enter-Return, Command-Return,\n(\.11-Return) or \ Shift-Return. The first input you evaluate in your session may take a little \ longer to return its result. This is because ", StyleBox["Mathematica ", FontSlant->"Italic"], " is getting started. You can tell this is happening by the word ", StyleBox["Starting... ", FontWeight->"Bold"], "at the top of the screen. " }], "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell["Here's an example to evaluate:", "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell["43 + 54", "Input", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ "Notice the ", StyleBox["In[ ] : = ", FontSlant->"Italic"], "and the ", StyleBox["Out[ ] = ", FontSlant->"Italic"], "that have appeared. These are called cell names. This numbering system \ is ", StyleBox["Mathematica", FontSlant->"Italic"], "'s way of cataloging inputs and outputs so that you can refer to them in \ subsequent calculations. " }], "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Kernel Help", "Section", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[CellGroupData[{ Cell["What is Kernel Help?", "Subsection", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ "The Kernel Help Notebooks are a collection of Notebooks that give examples \ of approximately 1,000 different things you can do with ", StyleBox["Mathematica", FontSlant->"Italic"], " . Each Notebook contains examples from a certain area. For example, the \ Notebook entitled \"Linear Algebra\" gives examples of matrix operations, \ solution of linear equations, matrix decompositions, etc. The Notebook \ \"System Operations\" contains examples of special output forms, external \ file handling, date and time functions, and string manipulation." }], "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ "Each Notebook is organized into sections and subsections. The Calculus \ Notebook, for example, has sections on Integration, Differentiation, Limits, \ Series, etc. Each of these sections begins with a subsection called \"Syntax\ \", which gives the basic format for using the appropriate ", StyleBox["Mathematica", FontSlant->"Italic"], " functions. The page numbers at the beginning of each Syntax subsection \ tell you where to look in The ", StyleBox["Mathematica", FontSlant->"Italic"], " Book for more information. " }], "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ "The Syntax subsection is followed by a sequence of examples that show \ various ways to use the functions. Many sections also contain Notes that \ explain features of the ", StyleBox["Mathematica", FontSlant->"Italic"], " functions and operations in greater depth." }], "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ "The Kernel Help Notebooks can serve several purposes. By looking at the \ entries in the Syntax section you can learn how to use various ", StyleBox["Mathematica", FontSlant->"Italic"], " functions and operations. The examples can be copied and pasted into \ your own Notebook, altered, and then evaluated using ", StyleBox["Mathematica", FontSlant->"Italic"], " . You can also learn about the different capabilities of ", StyleBox["Mathematica", FontSlant->"Italic"], " by browsing through the Notebooks. " }], "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ "The main purpose of these Notebooks, however, is to provide examples that \ show how to use specific ", StyleBox["Mathematica", FontSlant->"Italic"], " functions and operations. They do not provide a comprehensive view of \ ", StyleBox["Mathematica . ", FontSlant->"Italic"], "One of the most powerful features of ", StyleBox["Mathematica", FontSlant->"Italic"], " is that it lets you easily combine operations and build up complicated \ calculations. You can do this either through interactive sessions or by \ writing programs. The book ", StyleBox["Mathematica", FontSlant->"Italic"], " : ", StyleBox["A System for Doing Mathematics by Computer", FontSlant->"Italic"], ", by Stephen Wolfram, will provide you with a comprehensive introduction \ to all aspects of ", StyleBox["Mathematica ", FontSlant->"Italic"], ". The page numbers given at various places throughout the Kernel Help \ Notebooks refer to the second edition of this book." }], "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}] }, Closed]], Cell[CellGroupData[{ Cell["How to Use Kernel Help", "Subsection", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell["\<\ As an example, let us say you want to find out how to plot several functions \ on the same axis. The first step is to open the appropriate Notebook, in \ this case, 2-D Graphics. After you open the Notebook there are two basic \ ways to search for what you want. These are explained in the next two \ sections.\ \>", "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[CellGroupData[{ Cell["Searching by Topic", "Subsubsection", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell["\<\ The first method of search is to use the headings of the sections and \ subsections in the Notebook to search by topic. 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A portion of this subsection is reproduced below. \ \>", "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell["Syntax (see pages 143 and 423)", "Subsubsection", ImageRegion->{{0, 1}, {0, 1}}], Cell["Plot", "Special2", ImageRegion->{{0, 1}, {0, 1}}, CellTags->"Plot`combining"], Cell[TextData[{ StyleBox["Plot[{", FontFamily->"Courier", FontSize->12, FontWeight->"Bold"], StyleBox["f1", FontSlant->"Italic"], StyleBox[",", FontFamily->"Courier", FontSize->12, FontWeight->"Bold"], " ", StyleBox["f2", FontSlant->"Italic"], StyleBox[",", FontFamily->"Courier", FontSize->12, FontWeight->"Bold"], " ...", StyleBox["},", FontFamily->"Courier", FontSize->12, FontWeight->"Bold"], " ", StyleBox["{", FontFamily->"Courier", FontSize->12, FontWeight->"Bold"], StyleBox["x", FontSlant->"Italic"], StyleBox[",", FontFamily->"Courier", FontSize->12, FontWeight->"Bold"], " ", StyleBox["xmin", FontSlant->"Italic"], StyleBox[",", FontFamily->"Courier", FontSize->12, FontWeight->"Bold"], " ", StyleBox["xmax", FontSlant->"Italic"], " ", StyleBox["}]", FontFamily->"Courier", FontSize->12, FontWeight->"Bold"], " plots several functions together." }], "SmallText", ImageRegion->{{0, 1}, {0, 1}}], Cell["\<\ You can use this information to type in the appropriate input in your own \ Notebook. 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If you are interested in \ other ways of displaying your functions, there are many other examples \ following this example in the 2-D Graphics Notebook. These examples show how \ to put the plots into an array, use different line styles for each function, \ etc. Other sections explain how to use various options that adjust such \ things as the frame, labels, and axes.\ \>", "Text", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}] }, Closed]], Cell[CellGroupData[{ Cell["Searching by Keywords", "Subsubsection", AspectRatioFixed->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ "The first section in each Notebook is the Index. The Index gives a list \ of keywords that are associated with various cells in the Notebooks. 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