create a 2-D complex plot - Maple Help

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plots[complexplot] - create a 2-D complex plot

Calling Sequence

complexplot(expr, t=a..b, xv, yv, options)

complexplot(f, a..b, xv, yv, options)

complexplot(L, xv, yv, options)

Parameters

expr

-

algebraic; expression in parameter t defining a curve

t

-

name; curve parameter

f

-

procedure; procedure in one variable defining a curve

a, b

-

realcons; endpoints of parameter range

L

-

list; complex numbers specified as points

xv

-

(optional) range or name=range; view of horizontal axis

yv

-

(optional) range or name=range; view of vertical axis

options

-

(optional) sequence of equations; plot options

Description

• 

The complexplot command creates a 2-D plot displaying complex values, with the x-direction representing the real part and the y-direction representing the imaginary part.  The complex function may be given as an algebraic expression or a procedure.  Alternatively, a list of points may be provided.  For 3-D complex plots, see plots[complexplot3d].

• 

The first calling sequence, complexplot(expr, t=a..b), plots the complex expression expr which is a function of a single real parameter t over the parameter range a..b.

• 

The second calling sequence, complexplot(f, a..b), plots the complex function represented by f, a procedure taking a single real parameter and returning a complex value, over the parameter range a..b.  For more information about plotting procedures using operator notation, see plot/function.

• 

The third calling sequence, complexplot(L), plots a list of complex values as points.  The points are connected unless the style=point option is given.

• 

For all three calling sequences, additional arguments having the form u=v..w or v..w may be provided, where u is a name and v and w are real constants.  If one such argument is provided, it defines the view of the x-axis.  If two are provided, they define the views of the x-axis and y-axis. The name u is used as the axis label if given.

• 

Remaining arguments are interpreted as options as described in the plot/options help page.

Examples

withplots:

Plot an expression over a parameter range.

complexplotsinx+I,x=π..π

Plot a procedure over a parameter range, with a restricted view.

complexplotcos+sinI,π..π,0.8..0.8,1..1

Plot a list of points and display using an x-axis view of 0..10.

ptlist:=1+2I,3+4I,5I,78I

ptlist:=1+2I,3+4I,5I,78I

(1)

complexplotptlist,x=0..10,style=point

The command to create the plot from the Plotting Guide is

complexplotcos+sinI,π..π,labels=Re,Im

See Also

plot, plot/function, plot/options, plots, plots[complexplot3d]


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