(*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 4.0, MathReader 4.0, or any compatible application. 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[ 42476, 1348]*) (*NotebookOutlinePosition[ 61430, 2043]*) (* CellTagsIndexPosition[ 61297, 2035]*) (*WindowFrame->Normal*) Notebook[{ Cell[TextData[{ "Welcome to ", StyleBox["Mathematica", FontSlant->"Italic"], "!\n", StyleBox["an introduction to version 4", FontSize->24] }], "Text", TextAlignment->Center, FontSize->36, FontColor->RGBColor[0, 0, 1]], Cell[TextData[{ "Tutorial 1: ", StyleBox["Getting Started", FontSlant->"Italic"] }], "Title", FontSize->24], Cell[TextData[StyleBox[ "by Ruth Dover, Illinois Mathematics and Science Academy", FontSize->18]], "Subtitle", TextAlignment->Left, FontSize->18], Cell[TextData[{ "\tYou have just opened a ", StyleBox["Mathematica", FontSlant->"Italic"], " \"notebook.\" This one is designed to give an introduction to some of \ the many features of ", StyleBox["Mathematica", FontSlant->"Italic"], " 4 - the mathematics as well as the workings of the program. Many of \ these will be seen again in more detail in later notebooks.\n\tWhat you see \ now is similar to an outline form, with section headings shown. Below this \ paragraph, find the line with \"Numbers\" in bold print. (\"Numbers\" is a \ \"section\" heading.) Move the cursor to the far right of that line to the \ vertical bar with the little triangle at the bottom. The cursor will \ change to a vertical segment with an arrow. Double click on this bar with the \ triangle to open the section. Try opening and closing the section a couple \ of times. Then follow the directions." }], "Text"], Cell[CellGroupData[{ Cell["Numbers", "Section"], Cell[TextData[{ "\tFind the line below with the \"", Cell[BoxData[ \(TraditionalForm\`\@20\)]], "\" in bold print. Move the cursor to this \"input line\" so that it \ appears as a vertical I-bar and click. Then press \"Shift-Return\" or simply \ \"Enter\" - a key on the far right of most keyboards - to \"execute\" this \ command line. (A simple \"Return\" only moves the cursor to the next line, \ just as it does in a word processor.)" }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(\@20\)], "Input"], Cell[BoxData[ \(2\ \@5\)], "Output"] }, Open ]], Cell[TextData[{ "\tOK, so ", StyleBox["Mathematica", FontSlant->"Italic"], " can simplify. Also, if that took a while, that's because another program \ called the \"", StyleBox["Mathematica", FontSlant->"Italic"], " kernel\" has to be loaded the first time. Let's try another one. \ (Again, press \"Shift-Return\" or \"Enter\" to execute the command.)" }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(\@10\)], "Input"], Cell[BoxData[ \(\@10\)], "Output"] }, Open ]], Cell[TextData[{ "\tWell...that was exciting. The number is exact, so ", StyleBox["Mathematica", FontSlant->"Italic"], " left it alone. Let's make a slight change. Again, put the cursor in the \ line below and execute the \"input cell\". (A \"cell\" may be just about \ anything - a command, text, or a section header such as \"Numbers\" above. \ \"Input cells\" are recognizable by the bold text and may be \"executed.\" \ Each cell is shown individually and in groups by the brackets to the far \ right.)" }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(N[\@10]\)], "Input"], Cell[BoxData[ \(3.1622776601683795`\)], "Output"] }, Open ]], Cell[TextData[{ "\tAt least it did something. How about a few more decimal places? Edit \ the line above so it reads: ", StyleBox["N[", FontWeight->"Bold"], Cell[BoxData[ \(TraditionalForm\`\@10\)], FontWeight->"Bold"], StyleBox[", 50]", FontWeight->"Bold"], " by typing \", 50\" after the square root but before the closing bracket. \ (Don't type the quotation marks!) Execute the cell. What happened? Then \ execute the cell below. Note the different expression for the square root." }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(Sqrt[48]\)], "Input"], Cell[BoxData[ \(4\ \@3\)], "Output"] }, Open ]], Cell[TextData[{ "\tAgain, at least it simplifies, but we'll ask for a numerical \ approximation. We could do this by editing the line above, but we'll learn \ another method. Create a new cell by moving the cursor below this paragraph \ so that the cursor changes to a horizontal I-bar. Click. A horizontal line \ should appear. Then start typing \"N[%]\" (without the quotation marks) and \ ", StyleBox["Mathematica", FontSlant->"Italic"], " will make room for you. Note that the \" % \" refers to the last output. \ (Using \"In's\" and \"Out's\" which are created by ", StyleBox["Mathematica", FontSlant->"Italic"], " allows one to refer to previous work as well.)" }], "Text", CellTags->"newcell"], Cell["\<\ \tLet's try a couple of other things. Sine and tangent are \ built-in functions. As such, they must be capitalized, and their arguments \ are in square brackets. Execute each of the two cells below. Find numerical \ approximations. Or edit the expressions. (Create your own if you wish, but \ we'll come back to that later.)\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(Sin[\[Pi]\/3] + \ Tan[\(5 \[Pi]\)\/6]\)], "Input"], Cell[BoxData[ \(\(-\(1\/\@3\)\) + \@3\/2\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\[Sum]\+\(k = 1\)\%100 1\/k\^2\)], "Input"], Cell[BoxData[ \(158950869413303787311229792851755385970238349854370985988943283480381813\ 1090369901\/\ 972186144434381030589657976672623144161975583995746241782720354705517986165248\ 000\)], "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Symbolics", "Section", CellTags->"symbolic"], Cell["\<\ Execute each of the following cells below (separately) to see a bit \ of simplification.\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(3 x\^4 - 6 x\^\(\(2\)\(\ \)\) + \ 5\ + \ 4 x\^2 - \ 3\)], "Input"], Cell[BoxData[ \(2 - 2\ x\^2 + 3\ x\^4\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[\((4 x\^3 + 5 x\^2 + 3)\)\ - \ 3 \((2 x\^2 - 6 x\ + \ 1)\)]\)], "Input"], Cell[BoxData[ \(x\ \((18 - x + 4\ x\^2)\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\((3 x\ + \ 2 y)\)\^8\)], "Input"], Cell[BoxData[ \(\((3\ x + 2\ y)\)\^8\)], "Output"] }, Open ]], Cell[TextData[{ "That last one may not have been what you expected - or desired. ", StyleBox["Mathematica", FontSlant->"Italic"], " simplifies automatically, but it won't expand, since that form won't \ usually be considered simplified. We'll tell it to expand." }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(Expand[\((3 x\ + \ 2 y)\)\^8]\)], "Input"], Cell[BoxData[ \(6561\ x\^8 + 34992\ x\^7\ y + 81648\ x\^6\ y\^2 + 108864\ x\^5\ y\^3 + 90720\ x\^4\ y\^4 + 48384\ x\^3\ y\^5 + 16128\ x\^2\ y\^6 + 3072\ x\ y\^7 + 256\ y\^8\)], "Output"] }, Open ]], Cell["\<\ Create a new cell below this one to \"Factor\" the last result. \ (Remember that the command must be capitalized and square brackets are \ necessary. Use \"%\" to refer to the last output, the expanded form.)\ \>", "Text"], Cell[TextData[{ "Let's see a few more commands. Consider the fraction ", Cell[BoxData[ \(TraditionalForm\`\(2 x\^2 - \ 3\)\/\(x\^2 - 3 x\ + \ 2\)\)]], ". First, enter it by executing the cell, so that it is in the computer's \ memory." }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(\(2 x\^2 - 3\)\/\(x\^2 - 3 x + 2\)\)], "Input"], Cell[BoxData[ \(\(\(-3\) + 2\ x\^2\)\/\(2 - 3\ x + x\^2\)\)], "Output"] }, Open ]], Cell[TextData[{ "Now create new cells and ask ", StyleBox["Mathematica", FontSlant->"Italic"], " to perform each of the following commands, one by one, on the previous \ result: Apart, Together, Expand, ExpandAll, and Simplify. (Use the \ capitalized command with the square brackets, and use \"%\" to refer to the \ last output. Note that \"ExpandAll\" is written with a capital \"A\" but no \ space between the words. It is one ", StyleBox["Mathematica", FontSlant->"Italic"], " command.)" }], "Text"] }, Closed]], Cell[CellGroupData[{ Cell["Plots", "Section", CellTags->"firstplot"], Cell[TextData[{ "\tThe graphics capabilities in ", StyleBox["Mathematica", FontSlant->"Italic"], " are spectacular. Here's the simplest of beginnings." }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(Plot[x\^3 - \ 5 x\ + \ 2, \ {x, \ \(-4\), \ 4}]\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.119048 0.274732 0.0171285 [ [.02381 .26223 -6 -9 ] [.02381 .26223 6 0 ] [.2619 .26223 -6 -9 ] [.2619 .26223 6 0 ] [.7381 .26223 -3 -9 ] [.7381 .26223 3 0 ] [.97619 .26223 -3 -9 ] [.97619 .26223 3 0 ] [.4875 .0178 -18 -4.5 ] [.4875 .0178 0 4.5 ] [.4875 .10345 -18 -4.5 ] [.4875 .10345 0 4.5 ] [.4875 .18909 -12 -4.5 ] [.4875 .18909 0 4.5 ] [.4875 .36037 -6 -4.5 ] [.4875 .36037 0 4.5 ] [.4875 .44602 -12 -4.5 ] [.4875 .44602 0 4.5 ] [.4875 .53166 -12 -4.5 ] [.4875 .53166 0 4.5 ] [.4875 .6173 -12 -4.5 ] [.4875 .6173 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .02381 .27473 m .02381 .28098 L s [(-4)] .02381 .26223 0 1 Mshowa .2619 .27473 m .2619 .28098 L s [(-2)] .2619 .26223 0 1 Mshowa .7381 .27473 m .7381 .28098 L s [(2)] .7381 .26223 0 1 Mshowa .97619 .27473 m .97619 .28098 L s [(4)] .97619 .26223 0 1 Mshowa .125 Mabswid .08333 .27473 m .08333 .27848 L s .14286 .27473 m .14286 .27848 L s .20238 .27473 m .20238 .27848 L s .32143 .27473 m .32143 .27848 L s .38095 .27473 m .38095 .27848 L s .44048 .27473 m .44048 .27848 L s .55952 .27473 m .55952 .27848 L s .61905 .27473 m .61905 .27848 L s .67857 .27473 m .67857 .27848 L s .79762 .27473 m .79762 .27848 L s .85714 .27473 m .85714 .27848 L s .91667 .27473 m .91667 .27848 L s .25 Mabswid 0 .27473 m 1 .27473 L s .5 .0178 m .50625 .0178 L s [(-15)] .4875 .0178 1 0 Mshowa .5 .10345 m .50625 .10345 L s [(-10)] .4875 .10345 1 0 Mshowa .5 .18909 m .50625 .18909 L s [(-5)] .4875 .18909 1 0 Mshowa .5 .36037 m .50625 .36037 L s [(5)] .4875 .36037 1 0 Mshowa .5 .44602 m .50625 .44602 L s [(10)] .4875 .44602 1 0 Mshowa .5 .53166 m .50625 .53166 L s [(15)] .4875 .53166 1 0 Mshowa .5 .6173 m .50625 .6173 L s [(20)] .4875 .6173 1 0 Mshowa .125 Mabswid .5 .03493 m .50375 .03493 L s .5 .05206 m .50375 .05206 L s .5 .06919 m .50375 .06919 L s .5 .08632 m .50375 .08632 L s .5 .12058 m .50375 .12058 L s .5 .1377 m .50375 .1377 L s .5 .15483 m .50375 .15483 L s .5 .17196 m .50375 .17196 L s .5 .20622 m .50375 .20622 L s .5 .22335 m .50375 .22335 L s .5 .24047 m .50375 .24047 L s .5 .2576 m .50375 .2576 L s .5 .29186 m .50375 .29186 L s .5 .30899 m .50375 .30899 L s .5 .32612 m .50375 .32612 L s .5 .34325 m .50375 .34325 L s .5 .3775 m .50375 .3775 L s .5 .39463 m .50375 .39463 L s .5 .41176 m .50375 .41176 L s .5 .42889 m .50375 .42889 L s .5 .46315 m .50375 .46315 L s .5 .48027 m .50375 .48027 L s .5 .4974 m .50375 .4974 L s .5 .51453 m .50375 .51453 L s .5 .54879 m .50375 .54879 L s .5 .56592 m .50375 .56592 L s .5 .58304 m .50375 .58304 L s .5 .60017 m .50375 .60017 L s .5 .00068 m .50375 .00068 L s .25 Mabswid .5 0 m .5 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .5 Mabswid .11413 0 m .14415 .10753 L .18221 .21178 L .20342 .25751 L .22272 .29203 L .24299 .32153 L .26171 .34305 L .28086 .3598 L .29094 .36663 L .30164 .37245 L .31105 .37643 L .31624 .37819 L .32117 .37958 L .32574 .38063 L .33073 .38152 L .33293 .38184 L .33527 .38211 L .33727 .38231 L .33947 .38248 L .34082 .38256 L .34208 .38261 L .34341 .38266 L .34415 .38268 L .34483 .38269 L .34604 .3827 L .34736 .38269 L .34861 .38267 L .34976 .38264 L .35108 .38259 L .35232 .38253 L .35515 .38234 L .35791 .38208 L .36089 .38173 L .36601 .38096 L .37141 .37991 L .38106 .37747 L .4008 .37044 L .41917 .36178 L .45821 .33831 L .49971 .3092 L .53969 .28107 L .57816 .25761 L .59803 .24803 L .60818 .24402 L .61908 .24047 L .62432 .23906 L .6293 .23792 L .63415 .23699 L .63865 .2363 L .64289 .23581 L Mistroke .64526 .23561 L .64741 .23546 L .64864 .2354 L .64978 .23535 L .65102 .23531 L .65233 .23529 L .65348 .23528 L .65454 .23528 L .65571 .2353 L .65696 .23533 L .65819 .23538 L .65953 .23544 L .66226 .23563 L .66479 .23587 L .66716 .23615 L .6725 .237 L .67824 .23825 L .68875 .24147 L .69838 .24553 L .71734 .25686 L .72808 .26536 L .73805 .27469 L .77715 .32573 L .79854 .36434 L .8187 .40834 L .85722 .51477 L Mfstroke .85722 .51477 m .88567 .61803 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgOol002Aoo`03001oogoo06Qoo`03001o ogoo08ioo`0097oo00<007ooOol0FWoo1@000Woo0P001Goo00<007ooOol0SWoo000TOol00`00Oomo o`1LOol01@00Oomoogoo00000Woo00<007ooOol00Woo00<007ooOol0SWoo000UOol00`00Oomoo`1K Ool00`00Oomoo`04Ool00`00Oomoo`02Ool3002>Ool002Eoo`03001oogoo05=oo`@000Aoo`03001o ogoo009oo`8000Eoo`03001oogoo08ioo`009Goo00<007ooOol0Fgoo00<007ooOol00Woo00<007oo Ool017oo00<007ooOol0SWoo000UOol00`00Oomoo`1JOol20004Ool30004Ool00`00Oomoo`2>Ool0 02Ioo`03001oogoo06Ioo`8008moo`009Woo00<007ooOol0IWoo00<007ooOol0SWoo000VOol00`00 Oomoo`1VOol00`00Oomoo`2>Ool002Moo`03001oogoo06Eoo`03001oogoo08ioo`009goo00<007oo Ool0IGoo00<007ooOol0SWoo000WOol00`00Oomoo`1UOol2002?Ool002Qoo`03001oogoo06Aoo`03 001oogoo08ioo`00:7oo00<007ooOol0I7oo00<007ooOol0SWoo000XOol00`00Oomoo`1TOol00`00 Oomoo`2>Ool002Qoo`03001oogoo06Aoo`03001oogoo08ioo`00:Goo00<007ooOol0Hgoo0P00Sgoo 000YOol00`00Oomoo`1SOol00`00Oomoo`2>Ool002Uoo`03001oogoo06=oo`03001oogoo08ioo`00 :Woo00<007ooOol0HWoo00<007ooOol0SWoo000ZOol00`00Oomoo`1ROol00`00Oomoo`2>Ool002Yo o`03001oogoo069oo`8008moo`00:goo00<007ooOol0HGoo00<007ooOol0SWoo000[Ool00`00Oomo o`1COol50002Ool20005Ool00`00Oomoo`2>Ool002]oo`03001oogoo05Eoo`05001oogooOol00002 Ool00`00Oomoo`02Ool00`00Oomoo`2>Ool002]oo`03001oogoo05Eoo`05001oogooOol00002Ool0 0`00Oomoo`02Ool3002>Ool002aoo`03001oogoo04aoo`@000Aoo`05001oogooOol00002Ool00`00 Oomoo`02Ool00`00Oomoo`2>Ool002aoo`03001oogoo05Aoo`05001oogooOol00002Ool00`00Oomo o`02Ool00`00Oomoo`2>Ool002aoo`03001oogoo05=oo`8000Aoo`8000Eoo`03001oogoo08ioo`00 ;Goo00<007ooOol0Ggoo00<007ooOol0SWoo000]Ool00`00Oomoo`1OOol2002?Ool002eoo`03001o ogoo05moo`03001oogoo08ioo`00;Woo00<007ooOol0GWoo00<007ooOol0SWoo000^Ool00`00Oomo o`1NOol00`00Oomoo`2>Ool002ioo`03001oogoo05ioo`03001oogoo08ioo`00;goo00<007ooOol0 GGoo0P00Sgoo000_Ool00`00Oomoo`1MOol00`00Oomoo`2>Ool002moo`03001oogoo05eoo`03001o ogoo08ioo`00<7oo00<007ooOol0G7oo00<007ooOol0SWoo000`Ool00`00Oomoo`1LOol00`00Oomo o`2>Ool0031oo`03001oogoo05aoo`8008moo`00Ool0039oo`03001oogoo05Yoo`03001oogoo08ioo`00Ool003Aoo`03001oogoo04Yoo`@000=oo`8000Eoo`03001oogoo08ioo`00=7oo00<007oo Ool0DGoo00<007ooOol017oo00<007ooOol0SWoo000eOol00`00Oomoo`1@Ool30004Ool00`00Oomo o`2>Ool003Eoo`03001oogoo05Moo`03001oogoo08ioo`00=Goo00<007ooOol0Egoo0P00Sgoo000f Ool00`00Oomoo`1FOol00`00Oomoo`2>Ool003Ioo`03001oogoo05Ioo`03001oogoo08ioo`00=goo 00<007ooOol0EGoo00<007ooOol0SWoo000gOol00`00Oomoo`1EOol00`00Oomoo`2>Ool003Qoo`03 001oogoo05Aoo`8008moo`00>7oo00<007ooOol0E7oo00<007ooOol0SWoo000iOol00`00Oomoo`1C Ool00`00Oomoo`2>Ool000eoo`<002Uoo`03001oogoo015oo`@003ioo`03001oogoo02Eoo`L0019o o`@0041oo`<000Uoo`003Woo00<007ooOol0:Goo00<007ooOol047oo00<007ooOol0?goo00<007oo Ool087oo1@001goo1@003Goo00<007ooOol0@Woo00<007ooOol027oo000;Ool5000ZOol00`00Oomo o`0AOol00`00Oomoo`0nOol2000NOol3000AOol2000Ool00`00Oomoo`0?Ool2000/ Ool00`00Oomoo`1>Ool003ioo`03001oogoo04ioo`03001oogoo00eoo`8002moo`03001oogoo04eo o`000gooo`006P0017oo000:Ool00`00Oomoo`0>Ool00`00Oomoo`0=Ool00`00Oomoo`0>Ool01@00 Oomoogoo00002goo00<007ooOol03Woo00<007ooOol03Woo00<007ooOol03Goo00<007ooOol03Woo 00<007ooOol02Goo0P000goo00<007ooOol03Goo00<007ooOol03Woo00<007ooOol03Woo00<007oo Ool03Goo00<007ooOol03Woo00<007ooOol03Goo00<007ooOol03Woo00<007ooOol02Goo000:Ool0 0`00Oomoo`0cOol00`00Oomoo`09Ool00`00Oomoo`10Ool00`00Oomoo`08Ool00`00Oomoo`0eOol0 0`00Oomoo`0oOol00`00Oomoo`09Ool0045oo`03001oogoo04]oo`03001oogoo00Ioo`8003Uoo`03 001oogoo04Yoo`00@Goo00<007ooOol0Bgoo00<007ooOol01Goo00<007ooOol0>Woo00<007ooOol0 BGoo0012Ool00`00Oomoo`1:Ool20005Ool00`00Oomoo`0lOol00`00Oomoo`18Ool004=oo`03001o ogoo04Uoo`03001oogoo009oo`8003moo`03001oogoo04Qoo`00@goo00<007ooOol0BGoo00D007oo Oomoo`00049oo`03001oogoo04Moo`00A7oo00<007ooOol0B7oo00@007ooOol004Aoo`03001oogoo 04Ioo`00AGoo00<007ooOol0Agoo0`00AWoo00<007ooOol0AGoo0015Ool00`00Oomoo`17Ool20017 Ool00`00Oomoo`15Ool004Ioo`03001oogoo04Aoo`<004Uoo`03001oogoo04Aoo`00AWoo00<007oo Ool0@goo00@007ooOol004Yoo`03001oogoo04=oo`00Agoo00<007ooOol0@7oo0P000goo00<007oo Ool0BGoo00<007ooOol0@Woo0018Ool00`00Oomoo`0nOol00`00Oomoo`03Ool00`00Oomoo`19Ool0 0`00Oomoo`12Ool004Uoo`03001oogoo03]oo`8000Ioo`8004]oo`03001oogoo045oo`00BWoo00<0 07ooOol0>Goo00<007ooOol01Woo00<007ooOol0Bgoo00<007ooOol0@7oo001:Ool00`00Oomoo`0g Ool20009Ool00`00Oomoo`1;Ool00`00Oomoo`10Ool004]oo`03001oogoo03Eoo`03001oogoo00Uo o`03001oogoo04aoo`03001oogoo03moo`00C7oo00<007ooOol0goo001FOol2000JOol3000COol30004Ool00`00Oomoo`1AOol00`00Oomo o`0jOol005Qoo`03001oogoo01Eoo`8001eoo`03001oogoo055oo`03001oogoo03Yoo`00FGoo1000 47oo0`007goo0P00Dgoo00<007ooOol0>Goo001MOol@000ROol00`00Oomoo`1BOol00`00Oomoo`0i Ool008moo`03001oogoo05=oo`03001oogoo03Qoo`00Sgoo00<007ooOol0Dgoo00<007ooOol0>7oo 002?Ool00`00Oomoo`1DOol00`00Oomoo`0gOol008moo`8005Eoo`03001oogoo03Moo`00Sgoo00<0 07ooOol0EGoo00<007ooOol0=Woo002?Ool00`00Oomoo`1EOol00`00Oomoo`0fOol008moo`03001o ogoo05Ioo`03001oogoo03Eoo`00Sgoo00<007ooOol0EWoo00<007ooOol0=Goo002?Ool2001GOol0 0`00Oomoo`0eOol008moo`03001oogoo05Moo`03001oogoo03Aoo`00Sgoo00<007ooOol0Egoo00<0 07ooOol0=7oo002?Ool00`00Oomoo`1HOol00`00Oomoo`0cOol008moo`8005Uoo`03001oogoo03=o o`00Sgoo00<007ooOol0F7oo00<007ooOol0"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-4.31518, -16.0396, \ 0.0300709, 0.209002}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Plot[\((x^2\ - \ 3 x)\)\ Sin[x], \ {x, \ \(-3\), \ 4}]\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.431973 0.136054 0.602345 0.063414 [ [.02381 .58985 -6 -9 ] [.02381 .58985 6 0 ] [.15986 .58985 -6 -9 ] [.15986 .58985 6 0 ] [.29592 .58985 -6 -9 ] [.29592 .58985 6 0 ] [.56803 .58985 -3 -9 ] [.56803 .58985 3 0 ] [.70408 .58985 -3 -9 ] [.70408 .58985 3 0 ] [.84014 .58985 -3 -9 ] [.84014 .58985 3 0 ] [.97619 .58985 -3 -9 ] [.97619 .58985 3 0 ] [.41947 .09503 -12 -4.5 ] [.41947 .09503 0 4.5 ] [.41947 .22186 -12 -4.5 ] [.41947 .22186 0 4.5 ] [.41947 .34869 -12 -4.5 ] [.41947 .34869 0 4.5 ] [.41947 .47552 -12 -4.5 ] [.41947 .47552 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .02381 .60235 m .02381 .6086 L s [(-3)] .02381 .58985 0 1 Mshowa .15986 .60235 m .15986 .6086 L s [(-2)] .15986 .58985 0 1 Mshowa .29592 .60235 m .29592 .6086 L s [(-1)] .29592 .58985 0 1 Mshowa .56803 .60235 m .56803 .6086 L s [(1)] .56803 .58985 0 1 Mshowa .70408 .60235 m .70408 .6086 L s [(2)] .70408 .58985 0 1 Mshowa .84014 .60235 m .84014 .6086 L s [(3)] .84014 .58985 0 1 Mshowa .97619 .60235 m .97619 .6086 L s [(4)] .97619 .58985 0 1 Mshowa .125 Mabswid .05102 .60235 m .05102 .6061 L s .07823 .60235 m .07823 .6061 L s .10544 .60235 m .10544 .6061 L s .13265 .60235 m .13265 .6061 L s .18707 .60235 m .18707 .6061 L s .21429 .60235 m .21429 .6061 L s .2415 .60235 m .2415 .6061 L s .26871 .60235 m .26871 .6061 L s .32313 .60235 m .32313 .6061 L s .35034 .60235 m .35034 .6061 L s .37755 .60235 m .37755 .6061 L s .40476 .60235 m .40476 .6061 L s .45918 .60235 m .45918 .6061 L s .48639 .60235 m .48639 .6061 L s .51361 .60235 m .51361 .6061 L s .54082 .60235 m .54082 .6061 L s .59524 .60235 m .59524 .6061 L s .62245 .60235 m .62245 .6061 L s .64966 .60235 m .64966 .6061 L s .67687 .60235 m .67687 .6061 L s .73129 .60235 m .73129 .6061 L s .7585 .60235 m .7585 .6061 L s .78571 .60235 m .78571 .6061 L s .81293 .60235 m .81293 .6061 L s .86735 .60235 m .86735 .6061 L s .89456 .60235 m .89456 .6061 L s .92177 .60235 m .92177 .6061 L s .94898 .60235 m .94898 .6061 L s .25 Mabswid 0 .60235 m 1 .60235 L s .43197 .09503 m .43822 .09503 L s [(-8)] .41947 .09503 1 0 Mshowa .43197 .22186 m .43822 .22186 L s [(-6)] .41947 .22186 1 0 Mshowa .43197 .34869 m .43822 .34869 L s [(-4)] .41947 .34869 1 0 Mshowa .43197 .47552 m .43822 .47552 L s [(-2)] .41947 .47552 1 0 Mshowa .125 Mabswid .43197 .12674 m .43572 .12674 L s .43197 .15845 m .43572 .15845 L s .43197 .19015 m .43572 .19015 L s .43197 .25357 m .43572 .25357 L s .43197 .28528 m .43572 .28528 L s .43197 .31698 m .43572 .31698 L s .43197 .3804 m .43572 .3804 L s .43197 .4121 m .43572 .4121 L s .43197 .44381 m .43572 .44381 L s .43197 .50722 m .43572 .50722 L s .43197 .53893 m .43572 .53893 L s .43197 .57064 m .43572 .57064 L s .43197 .06333 m .43572 .06333 L s .43197 .03162 m .43572 .03162 L s .25 Mabswid .43197 0 m .43197 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .5 Mabswid .02381 .44126 m .04262 .30854 L .06244 .19591 L .08255 .11041 L .09396 .07451 L .10458 .04897 L .10961 .03944 L .11508 .03093 L .12023 .02459 L .125 .02016 L .12929 .01731 L .13173 .01616 L .13401 .01539 L .13525 .0151 L .13642 .01489 L .13747 .01478 L .13862 .01472 L .13986 .01473 L .14056 .01477 L .14119 .01483 L .14242 .01501 L .14357 .01526 L .14473 .01557 L .14598 .01598 L .14823 .01692 L .1509 .01837 L .15334 .02 L .15863 .02449 L .16365 .02993 L .1725 .04213 L .18212 .05888 L .2019 .10293 L .22291 .16053 L .26066 .27863 L .30086 .40341 L .33955 .50276 L .35959 .54189 L .36979 .55813 L .38069 .57263 L .39103 .58367 L .40043 .59143 L .40496 .5944 L .40988 .59708 L .41418 .59896 L .4188 .60051 L .42135 .60116 L .42368 .60163 L .42481 .60181 L .42603 .60198 L .42718 .60211 L Mistroke .42826 .6022 L .42892 .60225 L .42963 .60229 L .43088 .60233 L .43158 .60234 L .43233 .60234 L .43296 .60234 L .43366 .60232 L .43491 .60226 L .43562 .60221 L .43625 .60216 L .43867 .60189 L .43998 .6017 L .44136 .60146 L .44385 .60094 L .44948 .59934 L .45435 .5975 L .45971 .59502 L .4791 .58256 L .49997 .56437 L .54116 .52192 L .56173 .50141 L .58084 .48485 L .5993 .47224 L .60963 .46695 L .619 .46338 L .62386 .462 L .62652 .46139 L .62901 .4609 L .6313 .46054 L .6334 .46027 L .63572 .46005 L .63701 .45996 L .63822 .45989 L .63941 .45985 L .64073 .45983 L .64139 .45983 L .6421 .45984 L .64339 .45987 L .64461 .45992 L .64589 .46 L .64699 .46008 L .64819 .46019 L .6509 .46052 L .6538 .46099 L .65903 .46215 L .66435 .46372 L .66926 .46552 L .68035 .47078 L .7005 .48417 L Mistroke .73987 .52093 L .77772 .56058 L .79878 .57995 L .81803 .59359 L .82754 .59839 L .83293 .60043 L .8355 .60123 L .83792 .60186 L .84023 .60236 L .84272 .60279 L .84383 .60294 L .84499 .60307 L .84608 .60317 L .84707 .60324 L .84823 .60329 L .84948 .60332 L .85063 .60331 L .85172 .60329 L .85299 .60322 L .85417 .60313 L .85545 .60299 L .85682 .60281 L .85921 .60238 L .86172 .6018 L .8662 .60041 L .87103 .59838 L .87631 .59552 L .88578 .58867 L .89459 .58027 L .91507 .55301 L .93366 .51891 L .97366 .41787 L .97619 .41038 L Mfstroke % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggoo00<007ooOol0XGoo000EOol00`00Oomoo`0VOol00`00Oomoo`0k Ool00`00Oomoo`2QOol001Eoo`03001oogoo02Ioo`03001oogoo03]oo`03001oogoo0:5oo`005Goo 00<007ooOol09goo00<007ooOol0>Woo00<007ooOol0XGoo000EOol00`00Oomoo`0WOol00`00Oomo o`0jOol00`00Oomoo`2QOol001Aoo`03001oogoo02Qoo`03001oogoo03Yoo`03001oogoo0:5oo`00 57oo00<007ooOol0:Goo00<007ooOol0>Goo0P00XWoo000DOol00`00Oomoo`0YOol00`00Oomoo`0i Ool00`00Oomoo`2QOol001Aoo`03001oogoo02Uoo`03001oogoo03Uoo`03001oogoo0:5oo`0057oo 00<007ooOol0:Woo00<007ooOol0>7oo00<007ooOol0XGoo000COol00`00Oomoo`0[Ool00`00Oomo o`0hOol00`00Oomoo`2QOol001=oo`03001oogoo02]oo`03001oogoo03Qoo`03001oogoo0:5oo`00 4goo00<007ooOol0;7oo00<007ooOol0=goo00<007ooOol0XGoo000COol00`00Oomoo`0/Ool00`00 Oomoo`0gOol00`00Oomoo`2QOol001=oo`03001oogoo02aoo`03001oogoo03Moo`03001oogoo0:5o o`004Woo00<007ooOol0;Goo00<007ooOol0=goo0P00XWoo000BOol00`00Oomoo`0^Ool00`00Oomo o`0fOol00`00Oomoo`2QOol0019oo`03001oogoo02ioo`03001oogoo03Ioo`03001oogoo0:5oo`00 4Woo00<007ooOol0;Woo00<007ooOol0=Woo00<007ooOol0XGoo000BOol00`00Oomoo`0_Ool00`00 Oomoo`0eOol00`00Oomoo`2QOol0015oo`03001oogoo031oo`03001oogoo03Eoo`03001oogoo0:5o o`004Goo00<007ooOol0<7oo00<007ooOol0=Goo00<007ooOol0XGoo000AOol00`00Oomoo`0aOol0 0`00Oomoo`0[Ool30006Ool00`00Oomoo`2QOol0015oo`03001oogoo035oo`03001oogoo02]oo`04 001oogoo0005Ool00`00Oomoo`2QOol0015oo`03001oogoo035oo`03001oogoo02]oo`04001oogoo 0005Ool2002ROol0011oo`03001oogoo039oo`03001oogoo02Eoo`@0009oo`<000Ioo`03001oogoo 0:5oo`0047oo00<007ooOol0Ool00`00Oomoo`0hOol00`00Oomoo`0`Ool00`00Oomoo`2QOol000ioo`03001oogoo 03Qoo`03001oogoo031oo`03001oogoo0:5oo`003Woo00<007ooOol0>7oo00<007ooOol0<7oo00<0 07ooOol0XGoo000>Ool00`00Oomoo`0iOol00`00Oomoo`0_Ool00`00Oomoo`2QOol000ioo`03001o ogoo03Uoo`03001oogoo02moo`03001oogoo0:5oo`003Goo00<007ooOol0>Woo00<007ooOol0;goo 00<007ooOol0XGoo000=Ool00`00Oomoo`0kOol00`00Oomoo`0^Ool2002ROol000eoo`03001oogoo 03]oo`03001oogoo02ioo`03001oogoo0:5oo`003Goo00<007ooOol0>goo00<007ooOol0;Woo00<0 07ooOol0XGoo000=Ool00`00Oomoo`0lOol00`00Oomoo`0]Ool00`00Oomoo`2QOol000eoo`03001o ogoo03aoo`03001oogoo02eoo`03001oogoo0:5oo`0037oo00<007ooOol0?Goo00<007ooOol0;Goo 00<007ooOol0XGoo000Goo00<007ooOol04Goo001SOol00`00Oomoo`0FOol00`00 Oomoo`0OOol00`00Oomoo`0`Ool00`00Oomoo`0hOol00`00Oomoo`0AOol006=oo`03001oogoo01Io o`03001oogoo01ioo`03001oogoo039oo`03001oogoo03Ioo`03001oogoo019oo`00I7oo00<007oo Ool05Goo00<007ooOol07Goo00<007ooOol0=7oo00<007ooOol0=Goo00<007ooOol04Woo001TOol0 0`00Oomoo`0EOol00`00Oomoo`0LOol00`00Oomoo`0fOol00`00Oomoo`0cOol00`00Oomoo`0COol0 06Eoo`03001oogoo01Aoo`03001oogoo01]oo`03001oogoo03Qoo`03001oogoo039oo`03001oogoo 01=oo`00IGoo00<007ooOol057oo00<007ooOol06Woo00<007ooOol0>Woo00<007ooOol0<7oo00<0 07ooOol057oo001VOol00`00Oomoo`0COol00`00Oomoo`0IOol00`00Oomoo`0lOol00`00Oomoo`0_ Ool00`00Oomoo`0DOol006Ioo`03001oogoo01=oo`03001oogoo01Qoo`03001oogoo03ioo`03001o ogoo02eoo`03001oogoo01Eoo`00Igoo00<007ooOol04Woo0P0067oo00<007ooOol0@7oo00<007oo Ool0;7oo00<007ooOol05Goo001WOol00`00Oomoo`0BOol00`00Oomoo`0FOol00`00Oomoo`12Ool0 0`00Oomoo`0ZOol00`00Oomoo`0FOol006Qoo`03001oogoo015oo`03001oogoo01Eoo`03001oogoo 04Aoo`03001oogoo02Uoo`03001oogoo01Ioo`00JGoo00<007ooOol047oo00<007ooOol057oo00<0 07ooOol0AWoo00<007ooOol09goo00<007ooOol05goo001YOol00`00Oomoo`0@Ool00`00Oomoo`0C Ool00`00Oomoo`18Ool00`00Oomoo`0VOol00`00Oomoo`0GOol006Yoo`03001oogoo00moo`03001o ogoo019oo`03001oogoo04Yoo`03001oogoo02Aoo`03001oogoo01Qoo`002Goo0P0097oo10008goo 1@0047oo00<007ooOol03Woo00<007ooOol04Goo00<007ooOol03Goo1@008Woo100057oo00<007oo Ool03Goo0P004goo00<007ooOol047oo0`001Woo0008Ool01000Oomoo`008goo00<007ooOol09Woo 00<007ooOol04Goo00<007ooOol03Goo00<007ooOol047oo00<007ooOol047oo00<007ooOol08Woo 00<007ooOol05Woo00<007ooOol02goo00@007ooOol0019oo`03001oogoo015oo`03001oogoo00Eo o`002Woo00<007ooOol08goo00<007ooOol09Goo00<007ooOol04Goo00<007ooOol03Goo00<007oo Ool03goo00<007ooOol04Goo00<007ooOol08goo00<007ooOol05Woo00<007ooOol037oo00<007oo Ool047oo00<007ooOol03goo1@001Woo0002Ool40005Ool00`00Oomoo`0KOol40004Ool00`00Oomo o`0LOol40004Ool00`00Oomoo`0BOol00`00Oomoo`0Ool00`00Oomoo`0@Ool01000Oomo o`001goo0008Ool01000Oomoo`008goo00@007ooOol002Eoo`03001oogoo01=oo`03001oogoo00]o o`03001oogoo00aoo`8001Eoo`03001oogoo029oo`04001oogoo000HOol00`00Oomoo`08Ool01000 Oomoo`003goo00<007ooOol04Woo00<007oo00001goo0009Ool2000UOol2000UOol2000FOol00`00 Oomoo`0:Ool00`00Oomoo`0;Ool00`00Oomoo`0DOol2000UOol2000JOol00`00Oomoo`08Ool2000@ Ool00`00Oomoo`0COol20007Ool006moo`03001oogoo00Yoo`03001oogoo00Yoo`03001oogoo05Uo o`03001oogoo01Qoo`03001oogoo01eoo`00L7oo00<007ooOol02Goo00<007ooOol027oo0P00GGoo 00<007ooOol05Goo0P0087oo001aOol00`00Oomoo`08Ool00`00Oomoo`07Ool00`00Oomoo`1NOol2 000DOol00`00Oomoo`0POol0079oo`03001oogoo00Moo`03001oogoo00Eoo`8006=oo`03001oogoo 011oo`03001oogoo025oo`00Lgoo0`001Woo00<007ooOol017oo00<007ooOol0I7oo0P003goo00<0 07ooOol08Woo001fOol30003Ool00`00Oomoo`02Ool2001YOol30009Ool3000UOol00?l00200005o o`001goo00<007ooOol017oo00<007ooOol01Goo00<007ooOol01Goo00<007ooOol01Goo00<007oo Ool01Goo00<007ooOol017oo00<007ooOol01Goo00<007ooOol01Goo00<007ooOol01Goo00<007oo Ool01Goo00<007ooOol017oo00<007ooOol01Goo00<007ooOol01Goo00<007ooOol01Goo00<007oo Ool01Goo00<007ooOol017oo00<007ooOol01Goo00<007ooOol01Goo00<007ooOol01Goo00<007oo Ool017oo00<007ooOol01Goo00<007ooOol01Goo00<007ooOol01Goo00<007ooOol01Goo00<007oo Ool017oo00<007ooOol01Goo00<007ooOol01Goo00<007ooOol01Goo00<007ooOol01Goo00<007oo Ool017oo00<007ooOol01Goo00<007ooOol01Goo00<007ooOol01Goo00<007ooOol01Goo00<007oo Ool017oo00<007ooOol01Woo0007Ool00`00Oomoo`0TOol00`00Oomoo`0TOol00`00Oomoo`0TOol0 0`00Oomoo`0SOol00`00Oomoo`0TOol00`00Oomoo`0TOol00`00Oomoo`0TOol00`00Oomoo`06Ool0 07aoo`03001oogoo0:5oo`00O7oo00<007ooOol0XGoo0000\ \>"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-3.18413, -9.49866, \ 0.0256734, 0.0550819}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell["\<\ The syntax should be clear. Edit the line above to change the \ domain and explore more of the graph. Then create a couple more graphs.\ \>", "Text"] }, Closed]] }, FrontEndVersion->"4.0 for Microsoft Windows", ScreenRectangle->{{0, 1024}, {0, 695}}, WindowSize->{1016, 668}, WindowMargins->{{0, Automatic}, {Automatic, 0}}, StyleDefinitions -> Notebook[{ Cell[CellGroupData[{ Cell["Style Definitions", "Subtitle"], Cell["\<\ Modify the definitions below to change the default appearance of \ all cells in a given style. Make modifications to any definition using \ commands in the Format menu.\ \>", "Text"], Cell[CellGroupData[{ Cell["Style Environment Names", "Section"], Cell[StyleData[All, "Working"], PageWidth->WindowWidth, ScriptMinSize->9], Cell[StyleData[All, "Presentation"], PageWidth->WindowWidth, ScriptMinSize->12, FontSize->16], Cell[StyleData[All, "Condensed"], PageWidth->WindowWidth, CellBracketOptions->{"Margins"->{1, 1}, "Widths"->{0, 5}}, ScriptMinSize->8, FontSize->11], Cell[StyleData[All, "Printout"], PageWidth->PaperWidth, ScriptMinSize->7, FontSize->10, PrivateFontOptions->{"FontType"->"Outline"}] }, Closed]], Cell[CellGroupData[{ Cell["Notebook Options", "Section"], Cell["\<\ The options defined for the style below will be used at the \ Notebook level.\ \>", "Text"], Cell[StyleData["Notebook"], PageHeaders->{{Cell[ TextData[ { CounterBox[ "Page"]}], "PageNumber"], None, Cell[ TextData[ { ValueBox[ "FileName"]}], "Header"]}, {Cell[ TextData[ { ValueBox[ "FileName"]}], "Header"], None, Cell[ TextData[ { CounterBox[ "Page"]}], "PageNumber"]}}, PageHeaderLines->{True, True}, PrintingOptions->{"FirstPageHeader"->False, "FacingPages"->True}, CellFrameLabelMargins->6, StyleMenuListing->None] }, Closed]], Cell[CellGroupData[{ Cell["Styles for Headings", "Section"], Cell[CellGroupData[{ Cell[StyleData["Title"], ShowCellBracket->False, CellMargins->{{0, 0}, {0, 0}}, PageBreakBelow->False, LineSpacing->{1, 0}, CounterIncrements->"Title", CounterAssignments->{{"Section", 0}, {"Equation", 0}, {"Figure", 0}, { "Subtitle", 0}, {"Subsubtitle", 0}}, FontSize->34, FontColor->GrayLevel[1], Background->RGBColor[0.571389, 0.19675, 0.570504]], Cell[StyleData["Title", "Presentation"], CellMargins->{{0, 0}, {0, 0}}, LineSpacing->{1, 0}, FontSize->44], Cell[StyleData["Title", "Condensed"], CellMargins->{{0, 0}, {0, 0}}, FontSize->20], Cell[StyleData["Title", "Printout"], CellMargins->{{0, 0}, {0, 0}}, FontSize->24, FontTracking->"Plain", Background->GrayLevel[0]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Subtitle"], ShowCellBracket->False, CellMargins->{{0, 0}, {0, 0}}, PageBreakBelow->False, LineSpacing->{1, 3}, ParagraphIndent->-96, CounterIncrements->"Subtitle", CounterAssignments->{{"Section", 0}, {"Equation", 0}, {"Figure", 0}, { "Subsubtitle", 0}}, FontFamily->"Helvetica", FontSize->18, FontColor->GrayLevel[1], Background->RGBColor[0.2, 0.700008, 0.700008]], Cell[StyleData["Subtitle", "Presentation"], CellMargins->{{0, 0}, {0, 0}}, LineSpacing->{1, 6}, ParagraphIndent->-157, FontSize->30], Cell[StyleData["Subtitle", "Condensed"], CellMargins->{{0, 0}, {0, 0}}, ParagraphIndent->-78, FontSize->14], Cell[StyleData["Subtitle", "Printout"], CellMargins->{{0, 0}, {0, 0}}, ParagraphIndent->-85, FontSize->16, Background->GrayLevel[0.6]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Subsubtitle"], ShowCellBracket->False, CellMargins->{{10, 4}, {30, 10}}, PageBreakBelow->False, CounterIncrements->"Subsubtitle", CounterAssignments->{{"Section", 0}, {"Equation", 0}, {"Figure", 0}}, FontFamily->"Helvetica", FontSize->14, FontSlant->"Italic"], Cell[StyleData["Subsubtitle", "Presentation"], CellMargins->{{8, 10}, {40, 20}}, LineSpacing->{1, 0}, FontSize->24], Cell[StyleData["Subsubtitle", "Condensed"], CellMargins->{{8, 10}, {12, 8}}, FontSize->12], Cell[StyleData["Subsubtitle", "Printout"], CellMargins->{{9, 10}, {50, 10}}, FontSize->14] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Section"], CellFrame->{{6, 0}, {0, 1}}, CellDingbat->None, CellMargins->{{12, Inherited}, {4, 24}}, CellGroupingRules->{"SectionGrouping", 30}, PageBreakBelow->False, CellFrameMargins->6, CounterIncrements->"Section", CounterAssignments->{{"Subsection", 0}, {"Subsubsection", 0}}, FontFamily->"Helvetica", FontSize->16, FontWeight->"Bold", FontColor->RGBColor[0.500008, 0.100008, 0.6]], Cell[StyleData["Section", "Presentation"], CellMargins->{{10, 10}, {8, 32}}, LineSpacing->{1, 2}, FontSize->24, FontTracking->"Condensed"], Cell[StyleData["Section", "Condensed"], CellMargins->{{8, Inherited}, {2, 12}}, FontSize->12], Cell[StyleData["Section", "Printout"], CellMargins->{{9, 0}, {2, 50}}, FontSize->14, FontTracking->"Plain", FontColor->GrayLevel[0]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Subsection"], CellMargins->{{12, Inherited}, {8, 20}}, CellGroupingRules->{"SectionGrouping", 40}, PageBreakBelow->False, CounterIncrements->"Subsection", CounterAssignments->{{"Subsubsection", 0}}, FontFamily->"Helvetica", FontSize->13, FontWeight->"Bold"], Cell[StyleData["Subsection", "Presentation"], CellMargins->{{11, 10}, {8, 32}}, LineSpacing->{1, 0}, FontSize->22], Cell[StyleData["Subsection", "Condensed"], CellMargins->{{8, Inherited}, {2, 12}}, FontSize->12], Cell[StyleData["Subsection", "Printout"], CellMargins->{{9, 0}, {4, 40}}, FontSize->12] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Subsubsection"], CellDingbat->"\[FilledSquare]", CellMargins->{{25, Inherited}, {8, 12}}, CellGroupingRules->{"SectionGrouping", 50}, PageBreakBelow->False, CounterIncrements->"Subsubsection", FontFamily->"Times", FontSize->13, FontWeight->"Bold"], Cell[StyleData["Subsubsection", "Presentation"], CellMargins->{{29, 10}, {8, 26}}, LineSpacing->{1, 0}, FontSize->18], Cell[StyleData["Subsubsection", "Condensed"], CellMargins->{{22, Inherited}, {2, 12}}, FontSize->10], Cell[StyleData["Subsubsection", "Printout"], CellMargins->{{21, 0}, {4, 20}}, FontSize->11] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Styles for Body Text", "Section"], Cell[CellGroupData[{ Cell[StyleData["Text"], CellMargins->{{12, 10}, {5, 5}}, LineSpacing->{1, 3}, ParagraphSpacing->{0, 12}, CounterIncrements->"Text", FontFamily->"Times"], Cell[StyleData["Text", "Presentation"], CellMargins->{{13, 10}, {8, 8}}, LineSpacing->{1, 5}, ParagraphSpacing->{0, 12}], Cell[StyleData["Text", "Condensed"], CellMargins->{{8, 10}, {4, 4}}, LineSpacing->{1, 1}, ParagraphSpacing->{0, 4}], Cell[StyleData["Text", "Printout"], CellMargins->{{9, 0}, {4, 4}}, ParagraphSpacing->{0, 6}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["SmallText"], CellMargins->{{12, 10}, {5, 5}}, LineSpacing->{1, 3}, ParagraphSpacing->{0, 6}, CounterIncrements->"SmallText", FontFamily->"Helvetica", FontSize->9], Cell[StyleData["SmallText", "Presentation"], CellMargins->{{13, 10}, {8, 8}}, LineSpacing->{1, 5}, FontSize->12], Cell[StyleData["SmallText", "Condensed"], CellMargins->{{8, 10}, {2, 2}}, LineSpacing->{1, 2}, FontSize->9], Cell[StyleData["SmallText", "Printout"], CellMargins->{{9, 0}, {4, 4}}, FontSize->7] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Styles for Input/Output", "Section"], Cell["\<\ The cells in this section define styles used for input and output \ to the kernel. Be careful when modifying, renaming, or removing these \ styles, because the front end associates special meanings with these style \ names.\ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["Input"], CellFrame->{{3, 0}, {0, 0}}, CellMargins->{{52, 10}, {8, 8}}, Evaluatable->True, CellGroupingRules->"InputGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GroupPageBreakWithin->False, CellLabelMargins->{{5, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultInputFormatType, FormatType->InputForm, ShowStringCharacters->True, NumberMarks->True, CounterIncrements->"Input", FontWeight->"Bold", Background->RGBColor[1, 0.900008, 0.900008]], Cell[StyleData["Input", "Presentation"], CellMargins->{{62, Inherited}, {10, 10}}, LineSpacing->{1, 0}], Cell[StyleData["Input", "Condensed"], CellMargins->{{40, 10}, {4, 4}}], Cell[StyleData["Input", "Printout"], CellMargins->{{44, 0}, {6, 6}}, Background->GrayLevel[0.8]] }, Closed]], Cell[StyleData["InlineInput"], Evaluatable->True, CellGroupingRules->"InputGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GroupPageBreakWithin->False, DefaultFormatType->DefaultInputFormatType, AutoItalicWords->{}, FormatType->InputForm, ShowStringCharacters->True, NumberMarks->True, CounterIncrements->"Input", FontWeight->"Bold"], Cell[CellGroupData[{ Cell[StyleData["Output"], CellFrame->{{3, 0}, {0, 0}}, CellMargins->{{52, 10}, {8, 8}}, CellEditDuplicate->True, CellGroupingRules->"OutputGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GroupPageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, CellLabelMargins->{{3, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultOutputFormatType, FormatType->InputForm, CounterIncrements->"Output", Background->RGBColor[0.820005, 0.949996, 0.949996]], Cell[StyleData["Output", "Presentation"], CellMargins->{{62, Inherited}, {12, 5}}, LineSpacing->{1, 0}], Cell[StyleData["Output", "Condensed"], CellMargins->{{40, Inherited}, {4, 1}}], Cell[StyleData["Output", "Printout"], CellMargins->{{44, 0}, {6, 2}}, Background->GrayLevel[0.900008]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Message"], CellMargins->{{62, Inherited}, {Inherited, Inherited}}, CellGroupingRules->"OutputGrouping", PageBreakWithin->False, GroupPageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->False, DefaultFormatType->DefaultOutputFormatType, FormatType->InputForm, CounterIncrements->"Message", StyleMenuListing->None, FontColor->RGBColor[1, 0, 0]], Cell[StyleData["Message", "Presentation"], CellMargins->{{74, Inherited}, {Inherited, Inherited}}, LineSpacing->{1, 0}], Cell[StyleData["Message", "Condensed"], CellMargins->{{50, Inherited}, {Inherited, Inherited}}], Cell[StyleData["Message", "Printout"], CellMargins->{{54, Inherited}, {Inherited, Inherited}}, FontColor->GrayLevel[0]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Print"], CellMargins->{{62, Inherited}, {Inherited, Inherited}}, CellGroupingRules->"OutputGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GroupPageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->False, DefaultFormatType->DefaultOutputFormatType, FormatType->InputForm, CounterIncrements->"Print", StyleMenuListing->None], Cell[StyleData["Print", "Presentation"], CellMargins->{{74, Inherited}, {Inherited, Inherited}}, LineSpacing->{1, 0}], Cell[StyleData["Print", "Condensed"], CellMargins->{{50, Inherited}, {Inherited, Inherited}}], Cell[StyleData["Print", "Printout"], CellMargins->{{54, Inherited}, {Inherited, Inherited}}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Graphics"], CellMargins->{{62, Inherited}, {Inherited, Inherited}}, CellGroupingRules->"GraphicsGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->False, DefaultFormatType->DefaultOutputFormatType, FormatType->InputForm, CounterIncrements->"Graphics", StyleMenuListing->None], Cell[StyleData["Graphics", "Presentation"], CellMargins->{{74, Inherited}, {Inherited, Inherited}}], Cell[StyleData["Graphics", "Condensed"], CellMargins->{{52, Inherited}, {Inherited, Inherited}}, ImageSize->{175, 175}], Cell[StyleData["Graphics", "Printout"], CellMargins->{{54, Inherited}, {Inherited, Inherited}}, ImageSize->{250, 250}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["CellLabel"], StyleMenuListing->None, FontFamily->"Helvetica", FontSize->11, FontWeight->"Bold", FontColor->RGBColor[0.571389, 0.19675, 0.570504]], Cell[StyleData["CellLabel", "Presentation"], FontSize->12], Cell[StyleData["CellLabel", "Condensed"], FontSize->8], Cell[StyleData["CellLabel", "Printout"], FontSize->8, FontColor->GrayLevel[0]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Styles for Headers and Footers", "Section"], Cell[StyleData["Header"], CellMargins->{{0, 0}, {4, 1}}, StyleMenuListing->None, FontFamily->"Helvetica", FontSize->9, FontSlant->"Italic"], Cell[StyleData["Footer"], CellMargins->{{0, 0}, {0, 4}}, StyleMenuListing->None, FontFamily->"Helvetica", FontSize->6], Cell[StyleData["PageNumber"], CellMargins->{{0, 0}, {4, 1}}, StyleMenuListing->None, FontFamily->"Helvetica", FontSize->9, FontWeight->"Bold"] }, Closed]], Cell[CellGroupData[{ Cell["Hyperlink Styles", "Section"], Cell["\<\ The cells below define styles useful for making hypertext \ ButtonBoxes. The \"Hyperlink\" style is for links within the same Notebook, \ or between Notebooks.\ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["Hyperlink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookLocate[ #2]}]&), Active->True, ButtonFrame->"None", ButtonNote->ButtonData}], Cell[StyleData["Hyperlink", "Presentation"]], Cell[StyleData["Hyperlink", "Condensed"]], Cell[StyleData["Hyperlink", "Printout"], FontColor->GrayLevel[0], Background->GrayLevel[1]] }, Closed]], Cell["\<\ The following styles are for linking automatically to the on-line \ help system.\ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["MainBookLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->GrayLevel[1], Background->RGBColor[1, 0.4, 0], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "MainBook", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["MainBookLink", "Presentation"]], Cell[StyleData["MainBookLink", "Condensed"]], Cell[StyleData["MainBookLink", "Printout"], FontColor->GrayLevel[0], Background->GrayLevel[1]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["AddOnsLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Courier", FontColor->GrayLevel[1], Background->RGBColor[1, 0.4, 0], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "AddOns", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["AddOnsLink", "Presentation"]], Cell[StyleData["AddOnsLink", "Condensed"]], Cell[StyleData["AddOnLink", "Printout"], FontColor->GrayLevel[0], Background->GrayLevel[1]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["RefGuideLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Courier", FontColor->GrayLevel[1], Background->RGBColor[1, 0.4, 0], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "RefGuideLink", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["RefGuideLink", "Presentation"]], Cell[StyleData["RefGuideLink", "Condensed"]], Cell[StyleData["RefGuideLink", "Printout"], FontColor->GrayLevel[0], Background->GrayLevel[1]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["GettingStartedLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->GrayLevel[1], Background->RGBColor[1, 0.4, 0], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "GettingStarted", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["GettingStartedLink", "Presentation"]], Cell[StyleData["GettingStartedLink", "Condensed"]], Cell[StyleData["GettingStartedLink", "Printout"], FontColor->GrayLevel[0], Background->GrayLevel[1]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["OtherInformationLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->GrayLevel[1], Background->RGBColor[1, 0.4, 0], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "OtherInformation", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["OtherInformationLink", "Presentation"]], Cell[StyleData["OtherInformationLink", "Condensed"]], Cell[StyleData["OtherInformationLink", "Printout"], FontColor->GrayLevel[0], Background->GrayLevel[1]] }, Closed]] }, Closed]] }, Open ]] }] ] (*********************************************************************** Cached data follows. If you edit this Notebook file directly, not using Mathematica, you must remove the line containing CacheID at the top of the file. The cache data will then be recreated when you save this file from within Mathematica. ***********************************************************************) (*CellTagsOutline CellTagsIndex->{ "newcell"->{ Cell[5626, 183, 727, 15, 108, "Text", CellTags->"newcell"]}, "symbolic"->{ Cell[7223, 232, 52, 1, 36, "Section", CellTags->"symbolic"]}, "firstplot"->{ Cell[9796, 328, 49, 1, 36, "Section", CellTags->"firstplot"]} } *) (*CellTagsIndex CellTagsIndex->{ {"newcell", 61023, 2022}, {"symbolic", 61110, 2025}, {"firstplot", 61199, 2028} } *) (*NotebookFileOutline Notebook[{ Cell[1717, 49, 239, 10, 99, "Text"], Cell[1959, 61, 118, 5, 43, "Title"], Cell[2080, 68, 151, 4, 41, "Subtitle"], Cell[2234, 74, 922, 17, 117, "Text"], Cell[CellGroupData[{ Cell[3181, 95, 26, 0, 56, "Section"], Cell[3210, 97, 465, 9, 77, "Text"], Cell[CellGroupData[{ Cell[3700, 110, 37, 1, 51, "Input"], Cell[3740, 113, 40, 1, 70, "Output"] }, Open ]], Cell[3795, 117, 385, 10, 60, "Text"], Cell[CellGroupData[{ Cell[4205, 131, 37, 1, 51, "Input"], Cell[4245, 134, 38, 1, 70, "Output"] }, Open ]], Cell[4298, 138, 534, 10, 91, "Text"], Cell[CellGroupData[{ Cell[4857, 152, 40, 1, 53, "Input"], Cell[4900, 155, 53, 1, 70, "Output"] }, Open ]], Cell[4968, 159, 534, 13, 76, "Text"], Cell[CellGroupData[{ Cell[5527, 176, 41, 1, 47, "Input"], Cell[5571, 179, 40, 1, 70, "Output"] }, Open ]], Cell[5626, 183, 727, 15, 108, "Text", CellTags->"newcell"], Cell[6356, 200, 353, 6, 74, "Text"], Cell[CellGroupData[{ Cell[6734, 210, 71, 1, 62, "Input"], Cell[6808, 213, 58, 1, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[6903, 219, 63, 1, 71, "Input"], Cell[6969, 222, 205, 4, 70, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[7223, 232, 52, 1, 36, "Section", CellTags->"symbolic"], Cell[7278, 235, 112, 3, 26, "Text"], Cell[CellGroupData[{ Cell[7415, 242, 90, 1, 49, "Input"], Cell[7508, 245, 55, 1, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[7600, 251, 116, 2, 51, "Input"], Cell[7719, 255, 59, 1, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[7815, 261, 57, 1, 49, "Input"], Cell[7875, 264, 54, 1, 70, "Output"] }, Open ]], Cell[7944, 268, 286, 6, 59, "Text"], Cell[CellGroupData[{ Cell[8255, 278, 65, 1, 51, "Input"], Cell[8323, 281, 204, 3, 70, "Output"] }, Open ]], Cell[8542, 287, 237, 5, 58, "Text"], Cell[8782, 294, 265, 6, 48, "Text"], Cell[CellGroupData[{ Cell[9072, 304, 69, 1, 64, "Input"], Cell[9144, 307, 75, 1, 70, "Output"] }, Open ]], Cell[9234, 311, 525, 12, 93, "Text"] }, Closed]], Cell[CellGroupData[{ Cell[9796, 328, 49, 1, 36, "Section", CellTags->"firstplot"], Cell[9848, 331, 173, 5, 43, "Text"], Cell[CellGroupData[{ Cell[10046, 340, 82, 1, 51, "Input"], Cell[10131, 343, 13763, 440, 70, 4423, 320, "GraphicsData", "PostScript", \ "Graphics"], Cell[23897, 785, 130, 3, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[24064, 793, 89, 1, 47, "Input"], Cell[24156, 796, 17993, 537, 70, 5473, 378, "GraphicsData", "PostScript", \ "Graphics"], Cell[42152, 1335, 130, 3, 70, "Output"] }, Open ]], Cell[42297, 1341, 163, 4, 42, "Text"] }, Closed]] } ] *) (*********************************************************************** End of Mathematica Notebook file. ***********************************************************************)