BUILT-IN MATHEMATICA SYMBOL

DiscretePlot

generates a plot of the values of expr when n runs from

to

.

DiscretePlot

generates a plot of the values of expr when n runs from

to

.

DiscretePlot

uses steps dn.

DiscretePlot

uses the successive values

,

, ....

DiscretePlot

plots the values of all the

.

MORE INFORMATION

DiscretePlot uses the standard Mathematica iterator specification.

DiscretePlot treats the variable n as local, effectively using Block.

DiscretePlot has attribute HoldAll, and evaluates expr only after assigning specific numerical values to n.

In some cases it may be more efficient to use Evaluate to evaluate expr symbolically before specific numerical values are assigned to n.

The precision used in evaluating expr is the minimum precision used in the iterator.

The form provides a wrapper w to be applied to the resulting graphics primitives.

The following wrappers can be used:

	Annotation[expr,label]	provide an annotation
	Button[expr,action]	define an action to execute when the element is clicked
	EventHandler[expr,...]	define a general event handler for the element
	Hyperlink[expr,uri]	make the element act as a hyperlink
	PopupWindow[expr,cont]	attach a popup window to the element
	StatusArea[expr,label]	display in the status area when the element is moused over
	Style[expr,opts]	show the element using the specified styles
	Tooltip[expr,label]	attach an arbitrary tooltip to the element

DiscretePlot has the same options as Graphics, with the following additions and changes:

AspectRatio	1/GoldenRatio	ratio of height to width
Axes	True	whether to draw axes
ClippingStyle	None	what to draw when lines are clipped
ColorFunction	Automatic	how to determine the coloring of lines
ColorFunctionScaling	True	whether to scale arguments to ColorFunction
EvaluationMonitor	None	expression to evaluate at every function evaluation
ExtentElementFunction	Automatic	how to generate raw graphics for extent fills
ExtentMarkers	None	markers to use for extent boundaries
ExtentSize	None	width to extend from plot point
Filling	Axis	filling from extent
FillingStyle	Automatic	style to use for filling
Joined	Automatic	whether to join points
Method	Automatic	what method to use
PerformanceGoal	$PerformanceGoal	aspects of performance to try to optimize
PlotMarkers	None	markers to use for plot points
PlotRange	Automatic	range of values to include
PlotRangeClipping	True	whether to clip at the plot range
PlotStyle	Automatic	graphics directives to determine the style of each line
RegionFunction	(True &)	how to determine whether a point should be included
WorkingPrecision	MachinePrecision	precision for internal computation

The arguments supplied to ColorFunction are , .

With the setting ExtentSize, a horizontal line is drawn around each plot point, extending to the left and to the right. With ExtentMarkers, the markers and will be used as left and right extent boundary markers.

With the default settings Joined->Automatic and Filling->Axis, DiscretePlot switches between drawing points with a stem filling when there are few points, and lines with a solid filling when there are many points.

The arguments supplied to ExtentElementFunction are the element region and the sample point .

With the setting ExtentSize->None, is equal to . With the setting Filling->None, is equal to .

EXAMPLES

CLOSE ALL

Basic Examples (3)

Plot a sequence:

Plot several sequences:

Show a Riemann sum approximation to the area under a curve:

With bars to the left and right of the sample points:

Plot a sequence:

In[1]:=

Out[1]=

In[2]:=

Out[2]=

Plot several sequences:

In[1]:=

In[2]:=

Out[2]=

Show a Riemann sum approximation to the area under a curve:

In[1]:=

Out[1]=

With bars to the left and right of the sample points:

In[2]:=

Out[2]=

Scope (9)

Plot multiple functions:

Use wrappers on functions or sets of functions:

Wrappers can be nested:

Override the default tooltips:

Use PopupWindow to provide additional drilldown information:

Button can be used to trigger any action:

Use an explicit list of styles for the plots:

Style can be used to override styles:

Use any graphic for PlotMarkers:

Use any gradient or indexed color schemes from ColorData:

Use ExtentSize to associate a region with a point:

Show extent markers:

Options (56)

Use labels based on variables specified in DiscretePlot:

Specify a label for each axis:

Color by scaled

and

coordinates, respectively:

Color joined plots:

Color filling element functions:

Color by height with a named color scheme:

Identify where

jumps:

ColorFunction has higher priority than PlotStyle:

No argument scaling on the left; automatic scaling on the right:

Identify where

jumps:

Gather the plotted heights:

Show the plot and a histogram of the heights:

Get a list of built-in settings for ExtentElementFunction:

For detailed settings use Palettes ► ChartElementSchemes:

This ChartElementFunction is appropriate to show the global scale:

Write a custom ExtentElementFunction:

Built-in element function may have options; use Palettes ► ChartElementSchemes to set them:

Do not show the extent endpoints:

Use points to show the extent endpoints:

Show

with appropriate continuity markers:

Show

with appropriate continuity markers:

Control the size of markers:

Use custom shapes for the markers:

Markers use the settings for PlotStyle:

Show heights as points:

Draw full regions around the heights:

With unevenly spaced points:

Use fixed-size regions:

With unevenly spaced points:

Use sizes relative to the distance between points:

With unevenly spaced points:

Use equally sized regions that do not overlap:

With unevenly spaced points:

Control the placement of the region around the points:

DiscretePlot automatically fills to the axis:

Turn off filling:

Use symbolic or explicit values:

With Joined->True:

With ExtentSize->Full:

Fill between curves 1 and 2:

Fill between curves 1 and 2 with a specific style:

Fill between curves 1 and 2; use red when 1 is below 2, and blue when 1 is above 2:

Use different fill colors:

Fill with opacity 0.5 orange:

Fill with red below the

axis and blue above:

Use a variable filling style obtained from a ColorFunction:

Plots are automatically joined when there are many points:

Join the points:

Do not join the points:

DiscretePlot normally uses distinct colors to distinguish different sets of data:

Automatically use colors and shapes to distinguish sets of data:

Markers are placed at the plot points regardless of the setting for ExtentSize:

Change the size of the default plot markers:

Use arbitrary text for plot markers:

Use explicit graphics for plot markers:

Use the same symbol for all the sets of data:

Explicitly use a symbol and size:

Use different style directives:

By default different styles are chosen for multiple curves and regions:

Explicitly specify the style for different curves and regions:

PlotStyle can be combined with ColorFunction:

Draw over the region where

:

Evaluate functions using machine-precision arithmetic:

Evaluate functions using arbitrary-precision arithmetic:

Applications (4)

Plot the PDF of the empirical distribution of univariate data:

The CDF is a piecewise constant function:

Visualize the PDF and CDF for a discrete distribution:

Show Riemann sum approximations to the area under a curve:

Plot how many primes are below a number:

Properties & Relations (4)

Plot generates continuous curves:

Use ListPlot to plot lists of values:

Use BarChart to show bars for lists of values:

Use DiscretePlot3D to plot functions of two discrete variables: