 Maple Plotting Guide - Maple Programming Help

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Maple Plotting Guide

Introduction

Maple provides many varied forms of plots for you to use. This guide is designed to help you find the correct plot, and find the information you need to quickly and easily visualize your function, expression, or data.

Click on the name or picture of each plot to see the corresponding Maple help page. The commands to create the plots are in the examples section of each help page.

2-D Plots

2-D Line Plots

2-D Filled Plots

2-D Vector and Grid Plots

2-D Point Plots

 Bar Plots

2-D Mathematical Concepts Calculated

3-D Plots

3-D Line and Point Plots

3-D Filled Plots

3-D Vector and Grid Plots

3-D Mathematical Concepts Calculated

Specialized Plots

Statistical and Financial Plots

Dynamic Systems

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 Plot Options There are many options that can be applied to the plot command, and other plots accept most of those options. They include grid display options (gridlines, axes, captions, and more), plot generation options (adaptive point sampling and discontinuity detection), and plot display options (colors, line and fill styles, transparency, etc).  See plot options for a complete list.  Each plot page indicates which of the options it accepts. Most of the options that can be applied to a plot command can also be applied interactively to an existing plot, by using the plot context menus. The plottools package provides commands to generate basic graphical objects and alter existing plot structures. Objects include geometric shapes, arrows, and points, and can be displayed either in existing plots or on separate axes. Transformations involve rotation, translation, and scaling of any type of plot. Also available is textplot, for adding text or 2-D math to an existing plot (or textplot3d for 3-D plots). You can also add text, 2-D math, various shapes, or free form drawing to a 2-D plot using a set of drawing tools. Typesetting for 3-D plots provides the ability to use typeset mathematics and text in titles, captions, axis labels and text objects, as well as the ability to edit them in place. For more information, see the plot/typesetting help page. The plot and plot3d commands have been updated to recognize units in the function and range arguments, for both the expression-form and operator-form of the calling sequences. More information about this feature is available on the plot/units help page. You can set most plot options for an entire Maple session, using the setoptions command. The options apply only to the worksheet in which they are set, until either it is closed, or restart is called.
 Interactive Plotting Most of the above plots can be generated using the Interactive Plot Builder.  It is an interface with easy-to-use input fields and drop-down menus, allowing you to specify the options available for the plot you choose. When you use the Plot Builder on an expression to be plotted, it provides a choice of plot types which are compatible with that expression. Controls for plot options are grouped together by relevance and change dynamically in the panel. For detailed instructions on using the plot builder interface, see interactive plot interface. For performing many tasks with plots, see the links on the plotting overview page. The interactiveparams command is useful for quickly viewing changes to certain variables in an expression. The expression can be manipulated and the plot previewed with a Maplet, then output as either a plot or a plotting command.
 Combining Plots You can use the display command to display multiple plots on the same axes. This command accepts multiple plots of different structures, as long as they are all of the same dimension, and allows any of the plot options to be defined for all of the plots being displayed. Alternately, you can enter an array of plots into the display command, and plots can be displayed side-by-side. This command can also be used to animate one or more plots. With most of the commands above, you can enter a set of functions or expressions in place of a single function or expression. Alternately, you can use the multiple command. These methods display multiple plots on the same axes, but they are all of the same type. An easy way to add functions or expressions to an existing plot is to select and drag the input or output of an expression or function definition onto the plot. The settings that are applied to the original plot are also applied to the new function, but if you use default settings, the grid automatically adjusts to display all expressions fully. See drag and drop for details.
 Animating Plots Many of the plots above can be animated on a parameter, which is defined when the animate command is called. This provides a method for examining the effects of a single parameter on the plot. The same command can be used to show a curve traced in time. See the display help page for instructions on how to animate several plots and display an animation with a background plot. The viewpoint animation option allows you to create a "fly-through" animation by varying the viewpoint through a 3-D plot. In a fly-through animation, the camera that projects the 3-D plot moves in all directions above, below, and around the plot surface, as if the camera were flying through the plot. For more information, see the plot3d/viewpoint help page.
 Transforming Plots Maple provides many methods for altering existing plots. The easiest method is to use the plot context menus. There, you can change many of the plot options that can be specified when first generating the plot by using an interface that allows you to enter only the options accepted by that plot. See plotinterface for more details on manipulating both two-dimensional and three-dimensional plots. You can also specify modifications and transformations to plot structures and objects using plottools. For instance, to exchange the coordinate axes of a plot or to apply a custom mapping to a plot, use plottools[transform].
 Exporting Plots The default method of output for all plots is to display the plot inline within the Maple Worksheet. However, you can specify the output as a jpeg, gif, or postscript file, a Maplet, a new Maple Worksheet, or one of several other formats. To set the output method in a worksheet, use the plotsetup command. You can also export a plot from the worksheet once it has been drawn, by using the plot context menus. See export a plot for more information.

See Also

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