worksheet06 - Worksheet #6 - PHY102 (Spr. 2006) Generating...

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Unformatted text preview: Worksheet #6 - PHY102 (Spr. 2006) Generating and plotting lists of numbers, Do loops and animation - due Thursday February 23rd We often ask a computer to do an operation many times. There are a large number of ways of doing these iterativetasks in Mathematica. Here are two that you will need this week (look them up in the online help): Table, Do You will also need to learn how to plot lists of numbers using: ListPlot, ListPlot3D Finally, animation is very simple in mathematica. Simply generate a series of frames (e.g. using a Do loop) and then double click on one of the frames. This automatically animates the set of frames. Problem 1. (i) Listplot plots a list of numbers on the y axis of a graph. To see how this works, enter the following code sintable=Table[Sin[x], { x,0,20,.1 } ] ListPlot[sintable] (ii) Three dimensional plots are just as easy. Enter and run the following code sintable3D=Table[Sin[x*y], { x,0,4,.1 } , { y,0,4,0.1 } ] ListPlot3D[sintable3D] (iii) Using the Table function, generate points to represent a circle for...
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worksheet06 - Worksheet #6 - PHY102 (Spr. 2006) Generating...

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