Stirling's approximation
In mathematics, Stirling's approximation (or Stirling's formula) is an approximation for factorials. It is a good approximation, leading to accurate results even for small values of n. It is named after James Stirling, though it was first stated by Abraham de Moivre. The version of the formula typically used in applications is (in big O notation, as ), or, by changing the base of the logarithm (for instance in the worst-case lower bound for comparison sorting), Specifying the constant in the O(ln n) error term gives 1/2ln(2πn), yielding the more precise formula:
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Stirling's approximation
In mathematics, Stirling's approximation (or Stirling's formula) is an approximation for factorials. It is a good approximation, leading to accurate results even for small values of n. It is named after James Stirling, though it was first stated by Abraham de Moivre. The version of the formula typically used in applications is (in big O notation, as ), or, by changing the base of the logarithm (for instance in the worst-case lower bound for comparison sorting), Specifying the constant in the O(ln n) error term gives 1/2ln(2πn), yielding the more precise formula:
has abstract
De formule van Stirling is een ...... t de constante gelijk is aan .
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Die Stirling-Formel ist eine m ...... atiker James Stirling benannt.
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Em matemática, a fórmula de St ...... ral de um fatorial é dado por:
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En matemàtiques, l'aproximació ...... relació de és sempre entre i .
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En matemáticas, la fórmula de ...... de ln es el logaritmo natural.
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In matematica l'approssimazion ...... dello 0,3%, più precisamente:
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In mathematics, Stirling's app ...... error bounds discussed below.
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La formule de Stirling, du nom ...... ne la base de l'exponentielle.
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Matematikan, Stirlingen hurbil ...... a honetan ere erabiltzen da: .
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Stirlings formel är en approxi ...... ryckas som eller om n >> ln n,
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title
Stirling's Approximation
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Stirling's approximation
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Stirling_formula
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urlname
StirlingsApproximation
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wikiPageUsesTemplate
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De formule van Stirling is een ...... t de constante gelijk is aan .
@nl
Die Stirling-Formel ist eine m ...... atiker James Stirling benannt.
@de
Em matemática, a fórmula de St ...... ral de um fatorial é dado por:
@pt
En matemàtiques, l'aproximació ...... relació de és sempre entre i .
@ca
En matemáticas, la fórmula de ...... de ln es el logaritmo natural.
@es
In matematica l'approssimazion ...... che viene scritta spesso come:
@it
In mathematics, Stirling's app ...... ding the more precise formula:
@en
La formule de Stirling, du nom ...... ne la base de l'exponentielle.
@fr
Matematikan, Stirlingen hurbil ...... a honetan ere erabiltzen da: .
@eu
Stirlings formel är en approxi ...... ryckas som eller om n >> ln n,
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label
Approssimazione di Stirling
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Formule de Stirling
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Formule van Stirling
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Fórmula de Stirling
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Fórmula de Stirling
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Fórmula de Stirling
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Stirling's approximation
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Stirlingen hurbilketa
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Stirlingformel
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Stirlings formel
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