ABCUV

Type:

Command

Description:

Returns a solution in polynomials u and v of au+bv =c where a and b are polynomials in the

 

current CAS independent variable, and c is a value.

Access:

Arithmetic, POLYNOMIAL

Input:

Level 3/Argument 1: The polynomial corresponding to a.

 

Level 2/Argument 2: The polynomial corresponding to b.

 

Level 1/Argument 3: The value corresponding to c.

Output:

Level 2/Item 1: The solution corresponding to u.

 

Level 1/Item 2: The solution corresponding to v.

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:

Find a solution in polynomials u and v for the following equation:

 

( x2 + x + 1)u + ( x2 + 4)V = 13

Command:

ABCUV(X^2+X+1,X^2+4,13)

Result:

{-(X+3),X+4}

See also:

IABCUV, EGCD

ABS

Function

Type:

Description:

Absolute Value Function: Returns the absolute value of its argument.

 

ABS has a derivative (SIGN) but not an inverse.

 

In the case of an array, ABS returns the Frobenius (Euclidean) norm of the array, defined as the

 

square root of the sum of the squares of the absolute values of all n elements. That is:

n

i = 1

zi 2

Access:

 

( Ê is the leftshift of the

/key).

 

 

Flags:

Numerical Results (–3)

 

 

 

 

 

Input/Output:

 

 

 

 

 

 

 

 

 

 

 

 

 

Level 1/Argument 1

Level 1/Item 1

 

 

 

 

 

 

 

 

x

x

 

 

 

(x,y)

x

2

+ y

2

 

 

 

 

 

 

 

 

x_unit

x_unit

 

 

[array]

array

 

 

'symb'

'ABS(symb)'

See also:

NEG, SIGN

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

ACK

Command

 

 

 

 

 

Type:

 

 

 

 

 

Description: Acknowledge Alarm Command: Acknowledges the oldest pastdue alarm.

ACK clears the alert annunciator if there are both no other pastdue alarms and no other active alert sources (such as a low battery condition).

Full Command and Function Reference 35

Page 125
Image 125
HP 48gII Graphing, 50g Graphing manual Abcuv, Abs, Ack