Asnful n Nyuṭun

Tga tanfalit n usnful n Nyuṭun yat tanfalit tusnakt iskr tt umusnak amqqran  Isḥaq NyuṭunS ṣṣaḥt, tanfalit ad tettussan yad zɣ tasut tis-X, slawann akk dar id bu-tusnakt ihindiyn, iɛrabn d ifarisiyn (Al-Karaji) d ɣ tasut tis-XIII, amusnak acinwi Yang Hui imlatt. Ɣ 1665, Nyuṭun iskr as asmata nns s tuẓḍurin ur gin ummidn. fad ad yaf usbuɣlu n kraygat taẓḍurt n kra n usnful. Tṭṭaf ismawn yaḍna zun d tanfalit n usnful nɣ tanfalit n Nyuṭun.

 Mad tettini 
Iɣ gan  d  sin ifrdisn n kra n uzbg (s umdya sin imḍanen ilawn nɣ ismlaln, sin igtfuln, sin isiruwn imkkuẓn nna dar illa nafs tiddi, atg.) nna ɣ tlla tasunfltTafada ad tga ḍaṛuṛiyya, d tga tagdazalt i tidt n tanfalit i n = 2. (ad t-igan mas-d  — s umdya i isiruwn :  iga-tt isiruw n tulut) s ɣikk ad, i kraygat  amḍan ummid agaman, nṭṭaf : 
,
Ma ɣ imḍann

(kra n twal ar tt nttara ula ) gan imuskirn isnfal, « ! » ɛnan sis uskir d  afrdis-tiggt n uzbg.

S usnfl ɣ tanfalit  s , ar nttafa:

Imdyatn:

 Amdya 
Ha asnful ad ittuyskar i id  mẓẓiynin:

 Tummla 
Nẓḍar ad nsml tanfalit ad s tinawt n ullus.Tummla n Asnful n Nyuṭun : s tinawt n ullus - AVIDYU YUTUB

Tummla nɣ taflalit igan tamakazt uggarTummla n Asnful n Nyuṭun : s tinawt n uddun - AVIDYU YUTUB ar tswurri s usfki n imuskirn isnfal  mas iga umḍan n tifulin n  ifrdisn ɣ yat tagrumma nna ɣ illa  ifrdisn. Kudnna nsbuɣla tanfalit

ar nttafa yat timrnit n iynfuln s talɣa n  ma ɣ  d  ar mmaln s trtib ad nit uṭṭun n twal nna ɣ nxtar  nɣ  lliɣ tn nkka art nsbuɣlu. Illa darnɣ s bzziz , acku kraygat twal ur ar gis ntxtar , ar ntxtar . S tɣarast yaḍna, maḥd darɣ  n tɣarasin ur mrwasnin n lixtiyyar n  twal atig n  zɣ  tinfulin  isggt ddaw as, aynful  ixṣṣa ad ibayn ɣ usbuɣlu d umuskir .

 Tummla s ullus 
Ar nsiggil ad nml masd tanfalit ad n  tṣḥa s tinawt n ullus  d  s  (maɣ  iga uzbg mknna ira igt)

 Tazwart 
Iɣ 

Tazwart n tanfalit tṣḥa

 Taɣaldt 
Rad nɣal mas tanfalit ad tṣḥa ar twala n 

Ad nsrs 

 Amsgra 
S tifadiwin lli nfka i  d , tanfalit  tṣḥa i  .

 Asmata 
Nẓḍar ad nals i usbuɣlu s ullus fad ad nml tanfalit n Laybniz i tazllumt tis- n kra n ufaris.

Taɣarast tamsuddst n tawlawalt ad aɣ yujjan ad nskr asmata n tulut agtful

s

,

maɣ id  nɛna sisn igtfuln ujjuṛn ifrdasn.

Nẓḍar ula ad nskr asmata n tanfalit ad s timrniyin n  irman ismlaln lan yat tuẓḍurt tummidt  

d s imksanen ur gin ummidn nɣ gan ummidn izdrn.

 Ẓṛ uggar 

 Asaḍuf n id kusinus
 Targadda n Cauchy–Schwarz
 Alugaritm agaman
 Asktiɣmr

 Tisaɣulin  



== Tisaɣulin  


==

 Tinidlisn d izdayn 
(en) J. L. Coolidge, « The Story of the Binomial Theorem », Amer. Math. Monthly, vol. 56, no 3,‎ 1949, p. 147-157 (JSTOR 2305028, Ɣr ɣ wanṭirnit)

(en) Graham, Ronald; Knuth, Donald; Patashnik, Oren (1994). "(5) Binomial Coefficients". Concrete Mathematics (2nd ed.). Addison Wesley. pp. 153–256. ISBN 978-0-201-55802-9. OCLC 17649857.

(en) Bag, Amulya Kumar (1966). "Binomial theorem in ancient India". Indian J. History Sci. 1 (1): 68–74.

(en) Solomentsev, E.D. (2001) [1994], " Newton binomial ", , Encyclopedia of Mathematics, EMS Press

Amawal

 Tiguriwin 
Tanfalit = formule
Asnful = binome
Amusnak = mathematicien
Asbuɣlu = developpement
Taẓḍurt = puissance
Azbg = anneau
Afrdis = element
Amḍan = nombre
Ilaw = reel
Asmlal = complexe
Agtful = polynome
Isiruw = matrice
Amkkuẓ = carre
Tasunflt = commutativite
Tulut = identite
Ummid = entier
Agaman = naturel
Amuskir = coeficient
Uskir = factorielle
Afrdis-tiggt = element unite
Tinawt = énoncé
Ullus = recurence
Asfki = definion
Amakaz = intuitif
Tafult = partie
Tagrumma = ensemble
Timrnit = somme
Iynfuln = monômes
Tazllumt = derive
Tamsuddst = derive
Awlawal = variant
Agtful = polynimiale
Ujjuṛ = symetrique
Afrdas = elementaire
Irm = terme
Amksan = exposant
Uzdir = negatif

 Imawaln 
Amawal umniḍ DGLAi n Asinag Agldan n Tussna Tamaziɣt, s kraḍ tutlayin (tamaziɣt tatrart tamɣribit - tafransist - taɛrabt) [Alink nns]

Amawal Tafsut n tusnakt - MCB Alger, Tiwi Uzzu s sin tutlayin (tamaziɣt taqbaylit - tafransist) [Alink nns]
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