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Rrefmod, Series – HP 49g Graphing Calculator User Manual

Page 177

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RREFMOD

Type:

Command

Description:

Performs modular row-reduction to echelon form on a

matrix, modulo the current modulus.

Access:

Catalog,

{CAT)

Input:

A matrix.

Output:

The modular row-reduced matrix. The modulo value is

set using the Modes CAS input form.

Flags:

Exact mode must be set (flag -105 clear).
Numeric mode must not be set (flag -03 clear).

SERIES

Type:

Command

Description:

For a given fimction, computes Taylor series, asymptotic
development and limit at finite and infinite points.

Access:

Calculus,

0{M£) LIMITS & SERIES

Input:

Level 3/Argument 1: The function/(.r)

Level 2/Argument 2: The variable if the limit point is 0, or

an equation x = a if the limit point is a.

Level 1/Argmnent 3: The order for the series expansion.

Note the following points:

e The minimum value is 2, and the maximum value is

20.

® If the order is a positive or negative real number, the

series is imidirectional.

® For bidirectional series expansions, you need to give

the order as a binary integer, for example, #5d.

Output:

Level 2/Item 1: A list containing the bidirectional limit,

an expression approximating the function near the limit

point, and the order of the remainder. These are

expressed in terms of a small parameter h.

Level 1/Item 2: An expression for h in tenns of the

original variable.

Flags:

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

Numeric mode must not be set (flag -03 clear).

Page 14-54

Computer Algebra Commands