Wp/shi/Askkud n Taylor

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Amgrad ad icqqa ad t tfhmt !
amgrad-ad gis kra n iwalwn nna ur iẓḍaṛ ad tn ifhm yan iɣ ur issinn ɣ umawal iẓlin n tutlayt taclḥiyt tatrart.
Mad igan afssay ? Fad ad tfhmt mad gis illan tzḍart ad tawst i yixf nnk s umawal lli illan ɣ izddar akkʷ n tasna. Iɣ t ur tufit, tzḍart ad nn taggʷt ɣ imawaln d isgzawaln.
Asmdya n tasɣnt n ikspununsyal (s uzggʷaɣ) d agtful nns n Taylor s tfsna 4 ɣ tanqqiṭ n 0.

Ɣ tusnakt, slawan akkʷ ɣ taslṭ, Askkud n TaylorTanfalit n Taylor, s yism n amusnak angliz Brook Taylor nna st iɛdln ɣ usggʷwas n 1715, ar tmmal tanfalit ad mas kran tasɣnt itwazlamn ɣaydd n twal nẓḍar ad as naf yan ugtful nna iṭṭafn imuskirn itɛtamadn ɣar f izllumn n tasɣnt ann ɣ yat tanqqiṭ. Agtful ad ar as ittaẓ ɣ tidjiwṛa n tanqqiṭ ann. Tasɣnt tagtfult ad ar as nttini lbɛḍ n twal Agtful n Taylor.

Asnml

Tanfalit tanawayt

S yat tɣarast tanɣaṭ, ad ig:

  • yan uzilal ilaw ;
  • yan ufrdis n  ;
  • yan usayrar amaway alugan ilaw ;
  • yat tasɣnt zɣ ar ittuzlamn ɣ ar yat tfsna bḍḍbṭ

S man aya, i kraygat illan ɣ , darnɣ tanfalit n Taylor-Young:

nɣ s tɣarast yaḍnin :

maɣ asagur lli d iciḍn iga tasɣnt tawzizt taman ɣ tidjiwṛa n , s unamk n ur da tbayyan tasɣnt ad taman tisɣnin yaḍni li tt izwarn yɛni ur teṭṭaf yan usnfl imqqurn ɣ ammas n tasɣnt.

Tinfaliyin yaḍnin

S yan ubddl n umutti irxan, nẓḍar ad nara tanfalit n Taylor-Young s tɣarast ddaw as:

nɣ s tɣarast yaḍnin :

maɣ asagur lli d iciḍn iga tasɣnt tawzizt taman ɣ tidjiwṛa n 0.

Talɣa y'ad ar sis nswurri lbɛḍ n twal iɣ nlla taman tidjiwṛa n (aynna issumkn i mẓẓiyn).

Ẓr ula

Amawal

Tiguriwin

  • Taslṭ = analyse
  • Tasɣnt = fonction
  • Itwazlamn = derivable
  • Tidjiwṛa = voisinage
  • Agtful = polynome
  • Imuskirn = coefficients
  • Asmdya = representation
  • Asayrar = espace
  • Amaway = vectoriel
  • Alugan = norme
  • Tawzizt = negligeable
  • Asagur = restes

Imawaln n tusnakt n tmaziɣt

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]