HOME

Type:

Command

Description:

HOME Directory Command: Makes the HOME directory the current directory.

Access:

…µHOME

 

!& J

Input/Output: None

See also: CRDIR, PATH, PGDIR, UPDIR

HORNER

Type: Command

Description: Executes a Horner scheme on a polynomial. That is, for a given polynomial P, and a number r, HORNER returns QUOT(P/(x–r)), r and also P(r)

Access: Arithmetic, !ÞPOLY L

Input: Level 2/Argument 1: A polynomial, P. Level 1/Argument 2: A number, r.

Output: Level 3/Item 1: QUOT(P/(x–r)) Level 2/Item 2: r

Level 1/Item 3: P(r), the remainder of the division process.

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: For r = 3, find the result of executing a Horner scheme on the following polynomial:

x2 + x + 1

Command:

HORNER(X^2+X+1,3)

 

 

Results:

(X+4,3,13)

 

 

 

 

 

 

 

i

Function

 

 

Type:

 

 

Description:

i Function: Returns the symbolic constant i or its numerical representation, (0, 1).

Access:

!¥

 

(¥is the left-shift of the Ikey).

Flags:

Symbolic Constants (–2), Numerical Results (–3)

 

Input/Output:

 

 

 

 

 

 

 

 

 

 

 

 

Level 1/Argument 1

Level 1/Item 1

 

 

 

 

 

 

 

 

→

'i'

 

 

 

→

(0,1)

 

 

 

 

 

See also:

e, MAXR, MINR, π

 

 

 

 

 

 

 

IABCUV

 

 

 

 

Type:

Command

 

 

Description: Returns a solution in integers u and v of au + bv = c, where a, b, and c are integers.

Access: Arithmetic, !ÞINTEGER

Input: Level 3/Argument 1: the value of a. Level 2/Argument 2: the value of b. Level 1/Argument 3: the value of c.

3-108 Full Command and Function Reference