Faktoren (Befehl): Unterschied zwischen den Versionen
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:{{translate|Factors Command}} | :{{translate|Factors Command}} | ||
+ | ;Faktoren[ <Polynom> ]: Liefert eine Liste ''{Faktor,Exponent}'' such that product of all these factors raised to corresponding exponents equals the given polynomial. | ||
+ | {{Note|Not all of the factors are irreducible over the reals.}} | ||
+ | {{Example| 1=<code>Factors[x^8-1]</code> returns ''{{x-1,1},{x+1,1},{x^2+1,1},{x^4+1,1}}''.}} | ||
+ | ;Factors[ <Number> ]:Returns list of lists ''{prime,exponent}'' such that product of all these primes raised to corresponding exponents equals the given number. Primes are sorted in ascending order. | ||
+ | {{Example|1=<div> | ||
+ | * <code>Factors[1024]</code> returns ''<nowiki>{{2,10}}</nowiki>'', because ''1024=2<sup>10</sup>''. | ||
+ | * <code>Factors[42]</code> returns ''{{2,1},{3,1},{7,1}}'', because ''42=2<sup>1</sup>3<sup>1</sup>7<sup>1</sup>''.</div>}} | ||
+ | {{Note|See also [[PrimeFactors Command]] and [[Factor Command]].}} |
Version vom 26. Juli 2011, 11:07 Uhr
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- Faktoren[ <Polynom> ]
- Liefert eine Liste {Faktor,Exponent} such that product of all these factors raised to corresponding exponents equals the given polynomial.
Anmerkung: Not all of the factors are irreducible over the reals.
Beispiel:
Factors[x^8-1]
returns {{x-1,1},{x+1,1},{x^2+1,1},{x^4+1,1}}.- Factors[ <Number> ]
- Returns list of lists {prime,exponent} such that product of all these primes raised to corresponding exponents equals the given number. Primes are sorted in ascending order.
Beispiel:
Factors[1024]
returns {{2,10}}, because 1024=210.Factors[42]
returns {{2,1},{3,1},{7,1}}, because 42=213171.
Anmerkung: See also PrimeFactors Command and Factor Command.