Input/Output:

 

 

Level 2/Argument 1

Level 1/Argument 2

 

Level 1/Item 1

 

 

 

 

 

 

 

 

'symb1'

'global'

→

'symb2'

 

 

 

 

 

See also:

COLCT, EXPAN, ISOL, SHOW, SOLVE

 

 

 

 

 

 

 

 

QUOT

 

 

 

 

 

Type:

Function

 

 

 

Description:

Returns the quotient part of the Euclidean division of two polynomials.

 

Access:

Arithmetic, !ÞPOLYNOMIAL !«

 

 

Input:

Level 2/Argument 1: The numerator polynomial.

 

 

 

Level 1/Argument 2: The denominator polynomial.

 

 

Output:

The quotient of the Euclidean division.

 

 

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 the quotient of the division of x3 + 6x2 + 11x + 6 by x2 + 5x + 6 .

 

Command:

QUOT(X^3+6*X^2+11*X+6, X^2+5*X+6)

 

 

Result:

X+1

 

 

 

See also:

REMAINDER, DIV2, IQUOT

 

 

 

QUOTE

Function

 

 

 

Type:

 

 

 

Description:

Quote Argument Function: Returns its argument unevaluated.

 

 

When an algebraic expression is evaluated, the arguments to a function in the expression are

 

evaluated before the function. For example, when SIN(X) is evaluated, the name X is evaluated

 

first, and the result is placed on the stack as the argument for SIN.

 

 

This process creates a problem for functions that require symbolic arguments. For example, the

 

integration function requires as one of its arguments a name specifying the variable of integration.

 

If evaluating an integral expression caused the name to be evaluated, the result of evaluation

 

would be left on the stack for the integral, rather than the name itself. To avoid this problem, the

 

calculator automatically (and invisibly) quotes such arguments. When the quoted argument is

 

evaluated, the unquoted argument is returned.

 

 

 

If a user-defined function takes symbolic arguments, quote the arguments using QUOTE.

Access:

…µQUOTE

 

 

 

Input/Output:

 

 

 

 

 

 

 

Level 1/Argument 1

 

Level 1/Item 1

 

 

 

 

 

 

 

obj

→

obj

Example: The following user-defined function ArcLen calculates the arc length of a function:

«→ start end expr var

«start end expr var ˆ SQ 1 + ƒ var »

»

`OArcLen K

To use this user-defined function in an algebraic expression, the symbolic arguments must be quoted:

'ArcLen(0,π,QUOTE(SIN(X)),QUOTE(X))'

See also: APPLY, (Where)

Full Command and Function Reference 3-189