HP 48gII Graphing, 50g Graphing manual Vandermonde, Var

Mode

Result

Rectangular (flag –16 clear)

[ x1

x2 x3 ]

Polar/Cylindrical (flag –15 clear and –16 set)

[ x1

x€theta xz ]

Polar/Spherical (flag –15 and –16 set)

[ x1

x€theta x€phi ]

Access:

!´VECTOR →V3

( ´is the leftshift of the

Pkey).

Flags:

Coordinate System (–15 and –16)

Input/Output:

Level 3/Argument 1

Level 2/Argument 2 Level 1/Argument 3

Level 1/Item 1

x1

x2

x3

→

[ x1 x2 x3 ]

x

1

x

theta

x

z

→

[ x

1

x

x

]

€ theta

z

x

1

x

theta

x

phi

→

[ x

1

x

x

phi

]

€ theta

Example 1: With flag –16 clear (Rectangular mode), 1 2 3 →V3 returns [ 1 2 3 ].

Example 2: With flag –15 clear and –16 set (Polar/Cylindrical mode), 1 2 3 →V3 returns [ 1 €2 3 ].

Example 3: With flags –15 and –16 set (Polar/Spherical mode), 1 2 3 →V3 returns [ 1 €2 €3 ].

See also:	V→, →V2
VANDERMONDE
Type:	Command
Description:	Builds the Vandermonde matrix (also called the alternant matrix) from a list of objects. That is,
	for a list of n objects, the command creates an n × n matrix. The ith column in the matrix consists
	of the list items raised to the power of (i–1). Sometimes the Vandermonde matrix is defined with
	the ith row containing the items raised to the power of (i–1); to obtain this, transpose the result
	with the command TRAN.
Access:	Matrices, !Ø CREATELL, !´MATRX MAKE LL
Input:	A list of objects. A vector is allowed too.
Output:	The corresponding Vandermonde matrix.
Flags:	Exact mode must be set (flag –105 clear).
	Numeric mode must not be set (flag –3 clear).
Example:	Build the row version of the Vandermonde matrix from the following list of objects:
	{x, y, z}
Command:	TRAN(VANDERMONDE({x,y,z}))
	1		1	1
		x	y	z

Result:

x2 y2 z2

See also: CON, HILBERT, IDN, RANM

VAR

Type: Command

Description: Variance Command: Calculates the sample variance of the coordinate values in each of the m columns in the current statistics matrix (ΣDAT).

Full Command and Function Reference 3269