Faktoren (Befehl): Unterschied zwischen den Versionen

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<noinclude>{{Manual Page|version=4.0}}</noinclude>{{command|function|Faktoren}}
 
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;Faktoren[ <Polynom> ]
 
 
:{{translate|Factors Command}}
 
:{{translate|Factors Command}}
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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.
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{{Note|Not all of the factors are irreducible over the reals.}}
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{{Example| 1=<code>Factors[x^8-1]</code> returns ''{{x-1,1},{x+1,1},{x^2+1,1},{x^4+1,1}}''.}}
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;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.
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{{Example|1=<div>
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* <code>Factors[1024]</code> returns ''<nowiki>{{2,10}}</nowiki>'', because ''1024=2<sup>10</sup>''.
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* <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>}}
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{{Note|See also [[PrimeFactors Command]] and [[Factor Command]].}}

Version vom 26. Juli 2011, 10:07 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.
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