Tanfalit n Stirling

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Tanfalit n Stirling nɣ Tamawaẓt n Stirling tga ɣ tusnakt, yat tnfalit nna yakkan agdazal n uskir n yan umḍan ummid agaman  iɣ yaẓ  i wartmi:

nna nttafa tettyura ula s tɣarast ad:

maɣ  ɣid tga amḍan n tusnakt ikspununsyal.
Amzruy
Brahim du Mwavr ad akk izwarn is yufa tanfalit ad ddaw-as:

maɣ  tga yat timzgit tilawt (ur igaddan d amya)

Mad ifka nɣ mad izayd Stirling i tanfalit ad iga-tt atig n timzgit, iga y'as  fad ad aɣ tfk asbuɣlu n  i kraygat amizzwr.

 Atig ɣ wartmi 
Bac ad nit ntḥqqaq is nit ar ttaẓ tanfalit ad i atig n , nẓḍar ad nɛdl taflwit ad lli aɣ immaln atign n  d win  s sin-itsn:
 n n !   1 1  0,92  0,999 2 2  1,92  1,999 3 6  5,84  5,998 4 24  23,51  23,996 5 120  118,02  119,99 6 720  710,08  719,94 7 5 040  4 980,4  5 039,7 8 40 320  39 902,4  40 318,1 9 362 880  359 536,9  362 866,0 10 3 628 800  3 598 696   3 628 685 15 1 307 674 368 000  1,300 431 ×   1,307 665 ×  20 2 432 902 008 176 640 000  2,422 787 ×   2,432 882 ×  25 15 511 210 043 330 985 984 000 000  1,545 959 ×   1,551 113 ×  30 265 252 859 812 191 058 636 308 480 000 000  2,645 171 ×   2,652 519 ×  40 815 915 283 247 897 734 345 611 269 596 115 894 272 000 000 000  8,142 173 ×   8,159 136 × 

Amawal
 Timzgit = constante
 Ilaw = reel
 Amizzwr = ordre
 Tafllawt = resultat
 Tisaɣulin 
( en ) ( fr ) Tẓḍarm ad tafim amgrad ad ɣ Wikipidya tafransist (Formule de Stirling) d Wikipidya tanglizt (Stirling's approximation) rad gisn tafim uggar n ɣaylli yad illan ɣid.

 Ẓṛ uggar 
 James Stirling

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