Asnful n Nyuṭun
Tga tanfalit n usnful n Nyuṭun yat tanfalit tusnakt iskr-tt umusnak imqqurn Isḥaq Nyuṭun[1] fad ad yaf usbuɣlu n kraygat taẓḍurt n kra n usnful. Teṭṭaf ismawn yaḍna zund tanfalit n usnful nɣ tanfalit n Nyuṭun.
Mad tettinisnfl
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 tasunflt[2] (ad t-igan mas-d — s umdya i isiruwn : iga-tt isiruw n tulut) s ɣikkad, i kraygat amḍan ummid agaman, nṭṭaf :
Maɣ imḍanen
(Lbɛḍ 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:
Amdyasnfl
Ha asnful ad ittuyskar i id mẓẓiynin:
Tummlasnfl
Nẓḍar ad nsml tanfalit ad s tinawt n ullus.[3]
Tummla nɣ taflalit igan tamakazt uggar[4] 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 maɣ 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 tiɣarasin ur mrwasnin n lixtiyyar n twal atig n zɣ tinfulin isggt ddaw-as, aynful ixṣṣa ad ibayn ɣ usbuɣlu d umuskir .
Tummla s ullussnfl
Ar nsiggil ad nml masd tanfalit ad n tṣḥa s tinawt n ullus d s (maɣ iga uzbg mknna ira igt)
Tazwartsnfl
Iɣ
Tazwart n tanfalit tṣḥa
Taɣaldtsnfl
Rad nɣal mas tanfalit ad tṣḥa ar twala n
Ad nsrs
Amsgrasnfl
S tifadiwin lli nfka i d , tanfalit tṣḥa i .
Asmatasnfl
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
Ẓr ulasnfl
Tiɣbulasnfl
Isaɣulnsnfl
- ↑ S 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.
- ↑ Tafada ad tga ḍaṛuṛiyya, d tga tagdazalt i tidt n tanfalit i n = 2.
- ↑ Tummla n Asnful n Nyuṭun : s tinawt n ullus - AVIDYU YUTUB
- ↑ Tummla n Asnful n Nyuṭun : s tinawt n uddun - AVIDYU YUTUB
Tinidlisn d izdaynsnfl
(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
Amawalsnfl
Tiguriwinsnfl
- 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
Imawalnsnfl
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]Aggur:Tusnakt/Tin imgradn
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