4-38 Computer Algebra Commands
Result:
1
1
2
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1
3
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1
2
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1
3
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1
4
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1
3
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1
4
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1
5
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See also: CON, IDN, RANM, VANDERMONDE
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:
x
2
x 1++
Command: HORNER(X^2+X+1,3)
Results: (X+4,3,13)
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, !Þ
INTEGER
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.
Output: Level 2/Item 1: The value for u.
Level 1/Item 2: The value for 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 integers of the equation:
6a + 11b = 3
Command:
IABCUV(6,11,3)
Result: {6,-3}
See also: ABCUV, IEGCD
IBASIS
Type: Command
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