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Tegesé saka "Stirling's formula" ing bausastra Basa Inggris

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ETIMOLOGI SAKA TEMBUNG STIRLING'S FORMULA

Named after James Stirling (1692–1770), Scottish mathematician.
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Etymology pasinaon babagan asliné tembung lan owahané ing wangun lan teges.
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PANGOCAP SAKA STIRLING'S FORMULA ING BASA INGGRIS

Stirling's formula play
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GOLONGAN PARAMASASTRA SAKA STIRLING'S FORMULA

tembung aran
tembung sipat
tembung kriya
tembung katrangan
tembung ganti
preposition
panyambung
panemtu
seru

APA TEGESÉ STIRLING'S FORMULA ING BASA INGGRIS?

Klik kanggo deleng deifinisi asli saka «Stirling's formula» ing bausastra Basa Inggris.
Klik kanggo deleng pertalan otomatis saka definisi ing Basa Jawa.

Pendekatan Stirling

Stirling's approximation

Ing matématika, perkiraan Stirling (utawa rumus Stirling) minangka perkiraan faktorial. Iki minangka perkiraan sing kuat banget, sing ndadékaké asil akurat kanggo n-nilai cilik. Iki dijenengi sawise James Stirling. Rumus minangka biasane digunakake ing aplikasi yaiku Tembung salajengipun ing O (ln (n)) yaiku (1/2) ln (2πn); Varian sing luwih tepat rumus iku minangka rumus asymptotic, perkiraan Stirling duweni sifat sing Kadhangkala, watesan tinimbang asimptotika dibutuhake: siji duwe, kanggo kabeh supaya kabeh rasio tansah eg. antarane A019727 lan A001113. In mathematics, Stirling's approximation (or Stirling's formula) is an approximation for factorials. It is a very powerful approximation, leading to accurate results for even small values of n. It is named after James Stirling. The formula as typically used in applications is The next term in the O(ln(n)) is (1/2)ln(2πn); a more precise variant of the formula is therefore Being an asymptotic formula, Stirling's approximation has the property that Sometimes, bounds for rather than asymptotics are required: one has, for all so for all the ratio is always e.g. between  A019727 and  A001113.

Definisi saka Stirling's formula ing bausastra Basa Inggris

Définisi rumus Stirling ing kamus iku sawijining rumus sing menehi nilai kira-kira faktorial saka nomer gedhe n, minangka n! n√.

The definition of Stirling's formula in the dictionary is a formula giving the approximate value of the factorial of a large number n, as n! n√.

Klik kanggo deleng deifinisi asli saka «Stirling's formula» ing bausastra Basa Inggris.
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TEMBUNG BASA INGGRIS KANG AWIT KAYA STIRLING'S FORMULA

Stir.
stirabout
stirk
stirless
Stirling
Stirling cycle
Stirling engine
Stirlingshire

TEMBUNG BASA INGGRIS KANG WUSANANÉ KAYA STIRLING'S FORMULA

amending formula
aula
Dracula
empirical formula
formula
gula
hula
insula
kula
molecular formula
peninsula
plumula
primula
pula
recursion formula
reduction formula
regula
structural formula
Tula
Ursula

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DASANAMA

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PERTALAN SAKA STIRLING'S FORMULA

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ARANG KEREPÉ PANGGUNANÉ ARAN «STIRLING'S FORMULA» SALAWASÉ IKI

Gambar awujudaké arang kerepé evolusi taunan panggunané saka tembung «Stirling's formula» sasuwiné 500 taun. Panggunané andedhasar panalitén sapira asringé aran «Stirling's formula» metu ing sumber kang kacé digital ing Basa Inggris antaraning taun 1500-an lan wektu iki.

Tuladha kang kagunakaké ing sastra Basa Inggris, pethikan lan warta babaganStirling's formula

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BUKU BASA INGGRIS KAKAIT KARO «STIRLING'S FORMULA»

Temukaké kagunané saka Stirling's formula ing pilihan bibliografi iki. Buku kang kakait dening Stirling's formula lan pethikan cekak kang padha kanggo nyediyakaké panggunané ing sastra Basa Inggris.
1
James Stirling’s Methodus Differentialis: An Annotated ...
Clear and accessible, this book will be of interest to mathematical historians, researchers and numerical analysts.
James Stirling, Ian Tweddle, 2003
2
Fundamentals of Applied Probability and Random Processes
An approximate formula for large values of n, called the Stirling's formula, is given by n!$ ffiffiffiffiffiffiffiffi 2πn p n e n 1⁄4 ffiffiffiffiffiffiffiffi 2πn p nneÀn (1.26) wheree1⁄ 42.71828... is the base of the natural logarithms and the notationa$b means that  ...
Oliver Ibe, 2014
3
Higher Engineering Mathematics
2 + □• Note 1: It is advised to use Stirling's formula for \q\ £ 0.25 and Bessel's formula for 0.25 < q < 0.75. Note 2: Stirling's formula consists of the even differences along the central line and mean of the odd differences just above and below the ...
B V Ramana, 2006
4
Measure Solar System Objects and Their Movements for Yourself!
At the time of writing, you can find the derivation of this formula on Wikipedia at http://en. wikipedia.org/wiki/Stirling%27s_formula, or in the book by Mathews and Walker.45 Stirling's formula is n! % ffiffiffiffiffiffiffiffi 2pn p n e n ðB:6Þ where e is ...
John D. Clark, 2009
5
CRC Concise Encyclopedia of Mathematics, Second Edition
Stirling's Formula STIRLING'S APPROXIMATION, STIRLING'S SERIES Stirling's Series The ASYMPTOTIC SERIES for the GAMMA FUNCTION is given by 1 1 + 12z + 288z2 139 571 51840z3 2488320z4 (Sloane's A001163 and A001164).
Eric W. Weisstein, 2002
6
Introduction to Numerical Analysis
If the difference table ends with odd order differences, Stirling's formula is, in general, more accurate than Bessel's formula, and in this case Stirling's formula gives particularly good results for \u\£ 1/4. 3. If the difference table em's with even  ...
A. Gupta & S.C. Bose
7
Pharmacometrics: The Science of Quantitative Pharmacology
Another option is to approximate the factorial using Stirling's formula, which is based on the gamma function. The formula is as ... and (27.14) yl=l for y=0 NONMEM code for Stirling's formula would thus appear as IF(DV.EQ.0) THEN FACT=l ...
Ene I. Ette, Paul J. Williams, 2013
8
Invitation to Classical Analysis
Implicit in the preceding calculations is an important generalization of Stirling's formula n!∼ √ 2πnn+ 1 2 e−n , n→∞, to the gamma function. Because Γ(n)=(n − 1)! and ( 1 − 1n ) n → 1/e, an equivalent form is Γ(n)∼ √ 2πnn−12e−n, n→∞.
Peter L. Duren, 2012
9
Computer Programming and Numerical Analysis Revised Edition ...
(s2-(n-l)2)A2„ 2 + (2n)\ A V- (12.101) Stirling's formula terminated with a difference of even order is also equivalent to Lagrange's formula since both Gaussian formulae use the points x0, x±i, x±2, . . . x±n. Stirling's formula gives better results for ...
N. Datta, 2003
10
More Fallacies, Flaws & Flimflam:
A colleague of his, a chemist, once showed him how to use Stirling's formula and logarithms to derive a weaker result known as Stirling's approximation (often used in statistical mechanics). This is derived as follows. Apply the logarithm to both ...
Edward J. Barbeau, 2013

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« EDUCALINGO. Stirling's formula [online]. Kasedya <https://educalingo.com/jv/dic-en/stirlings-formula>. Mei 2024 ».
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