PARSURFACE

Type: Command

Description: PARSURFACE Plot Type Command: Sets plot type to PARSURFACE.

When plot type is set to PARSURFACE, the DRAW command plots an image graph of a 3- vector-valued function of two variables. PARSURFACE requires values in the reserved variables EQ, VPAR, and PPAR.

VPAR is made up of the following elements:

{xleft, xright, ynear, yfar, zlow, zhigh, xmin, xmax, ymin, ymax, xeye, yeye, zeye, xstep, ystep }

For plot type PARSURFACE, the elements of VPAR are used as follows:

•xleft and xright are real numbers that specify the width of the view space.

•ynear and yfar are real numbers that specify the depth of the view space.

•zlow and zhigh are real numbers that specify the height of the view space.

•xmin and xmax are real numbers that specify the input region’s width. The default value is (–1,1).

•ymin and ymax are real numbers that specify the input region’s depth. The default value is (–1,1).

•xeye, yeye, and zeye are real numbers that specify the point in space from which the graph is viewed.

•xstep and ystep are real numbers that set the number of x-coordinates versus the number of y- coordinates plotted.

The plotting parameters are specified in the reserved variable PPAR, which has this form:

{(xmin, ymin), (xmax, ymax), indep, res, axes, ptype, depend }

For plot type PARSURFACE, the elements of PPAR are used as follows:

•(xmin, ymin) is not used.

•(xmax, ymax) is not used.

•indep is a name specifying the independent variable. The default value of indep is X.

•res is not used.

•axes is not used.

•ptype is a command name specifying the plot type. Executing the command PARSURFACE places the name PARSURFACE in ptype.

•depend is a name specifying the dependent variable. The default value is Y.

Access: …µPARSURFACE

Input/Output: None

See also: BAR, CONIC, DIFFEQ, FAST3D, FUNCTION, GRIDMAP, HISTOGRAM, PARAMETRIC, PCONTOUR, POLAR, SCATTER, SLOPEFIELD, TRUTH, WIREFRAME, YSLICE

PARTFRAC

Type:

Command

Description:

Performs partial fraction decomposition on a partial fraction.

Access:

Algebra …×or Arithmetic, !ÞPOLYNOMIAL LL

Input:

An algebraic expression.

Output:

The partial fraction decomposition of the expression.

Flags:

Exact mode must be set (flag –105 clear).

 

Numeric mode must not be set (flag –3 clear).

 

Radians mode must be set (flag –17 set).

Example:

Perform a partial fraction decomposition of the following expression:

 

1

 

-------------

 

x2 – 1

Command:

PARTFRAC(1/(X^2-1))

3-164 Full Command and Function Reference