Unformatted text preview: pe. For example, for a twodimensional plot, select the 2-D plot check box. 4. To continue, click Next. Based on the check box selection, the corresponding dialog opens. For example, if you selected the 2-D plot check box, the 2-D Plot dialog appears. 5. From the various drop-down ﬁelds, select the appropriate feature for your plot. For example, to create a dash-line plot, click the dash option from the Line drop-down list. Note: To reset the plot options in the plot dialog, click the Reset button. To return to a previous dialog, click the Back button. 6. Once you have selected various options, click the Plot button. Maple generates the plot and displays it in the worksheet. The Maple command, including options you selected, are displayed in the worksheet. Using the Command-Line Interactive Plot Builder The plots[interactive] command is part of the plots package. To build plots, use the interactive command followed by the expression in parentheses. Follow the instructions in the subsequently displayed dialogs.
> with(plots): > interactive(sin(x)+1); After executing the command, the Interactive Plot Builder dialog is displayed. Form this point, the instructions for using the graphical user interface apply, beginning with step 3 in the previous procedure. 5.10 Conclusion • 153 5.10 Conclusion This chapter examined Maple two- and three-dimensional plotting capabilities, involving explicitly, parametrically, and implicitly given functions. Cartesian, polar, spherical, and cylindrical are a few of the many coordinate systems that Maple can handle. Furthermore, you can animate a graph and shade it in a variety of ways for a clearer understanding of its nature. Use the commands found in the plots package to display various graphs of functions and expressions. Some of the special plot types that you can create using these commands include contour, density, and logarithmic plots. The commands within the plottools package create and manipulate objects. Such commands, for instance, allow you to translate, rotate, and even stellate a graphical object. The interactive plot builder facilitates specifying and displaying plots by providing a graphical user interface. 154 • Chapter 5: Plotting 6 Evaluation and Simpliﬁcation Expression manipulation serves many purposes, for example, converting output expressions into a familiar form to check answers or into a speciﬁc form needed by certain Maple routines. The issue of simpliﬁcation is diﬃcult in symbolic mathematics. What is simple in one context may not be in another context—each individual context can have its own deﬁnition of a simple form. Working with Expressions in Maple
Maple provides a set of tools for working with expressions, for performing both mathematical and structural manipulations. • Mathematical manipulations correspond to a standard mathematical process, for example, factoring a polynomial, or rationalizing the denominator of a rational expression. • Structural manipulation tools all...
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