Input/Output: None

See also: BIN, DEC, OCT, RCWS, STWS

HILBERT

Type:

Command

Description:

Returns a square Hilbert matrix of the specified order.

Access:

Matrices, !ØCREATE Lor !´MATRX MAKE LL

Input:

A positive integer, representing the order.

Output:

The Hilbert matrix of the specified order.

Flags:

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

 

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

Example:

Find the order 3 Hilbert matrix.

Command:

HILBERT(3)

 

 

 

 

 

 

1 1

 

 

 

1 -- --

 

 

 

2 3

 

 

 

1 1 1

 

 

 

-- -- --

 

 

 

2 3 4

 

 

 

1 1 1

 

 

 

-- -- --

 

Result:

 

3 4 5

 

 

 

 

CON, IDN, RANM, VANDERMONDE

See also:

HISTOGRAM

Type: Command

Description: Histogram Plot Type Command: Sets the plot type to HISTOGRAM.

When the plot type is HISTOGRAM, the DRAW command creates a histogram using data from one column of the current statistics matrix (reserved variable ΣDAT). The column is specified by the first parameter in the reserved variable ΣPAR (using the XCOL command). The plotting parameters are specified in the reserved variable PPAR, which has the form:

{(xmin, ymin) (xmax, ymax) indep res axes ptype depend } For plot type HISTOGRAM, the elements of PPAR are used as follows:

•(xmin, ymin) is a complex number specifying the lower left corner of PICT (the lower left corner of the display range). The default value is (–6.5,–3.1) for the HP 48gII and (–6.5,–3.9) for the HP 50g and 49g+.

•(xmax, ymax) is a complex number specifying the upper right corner of PICT (the upper right corner of the display range). The default value is (6.5,3.2) for the HP 48gII and (6.5,4.0) for the HP 50g and 49g+.

•indep is either a name specifying a label for the horizontal axis, or a list containing such a name and two numbers that specify the minimum and maximum values of the data to be plotted. The default value of indep is X.

•res is a real number specifying the bin size, in user-unit coordinates, or a binary integer specifying the bin size in pixels. The default value is 0, which specifies the bin size to be 1/13 of the difference between the specified minimum and maximum values of the data.

•axes is a list containing one or more of the following, in the order listed: a complex number specifying the user-unit coordinates of the plot origin, a list specifying the tick-mark annotation, and two strings specifying labels for the horizontal and vertical axes. The default value is (0,0).

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

Full Command and Function Reference 3-105