Ẓṛ asagm n Askkud n Tayluṛ (Taylor)

{{Amgrad icqqan}}[[Afaylu:Taylorspolynomialex.png|thumb|Asmdya n tasɣnt n ikspununsyal (s uzggʷaɣ) d agtful nns n Taylor s tfsna 4 ɣ tabkkit n 0.]]
Ɣ [[tusnakt]], slawan akkʷ ɣ asfsi, '''Askkud n Taylor''' nɣ '''Tanfalit n Taylor''', s ism n amusnak angliz [[Brook Taylor]] nna st iskrn ɣ usggʷas n 1715, ar tmmal tanfalit ad mas kra n tasɣnt itwazlamn ɣaydd n twal nẓḍaR ad as naf yan ugtful nna iṭṭafn imuskirn ittbddadn ɣar f izllumn n tasɣnt ann ɣ yat tabkkit . Agtful ad ar as ittaẓ ɣ imnala n tabkkit ann. Tasɣnt tagtfult ad ar as nttini kra n tikkal '''Agtful n Taylor'''.

== Asnml ==

=== Tanfalit tanawayt ===
S yat tɣarast tanɣaṭ, ad ig:

* <math>I</math> yan uzilal ilaw ;
* <math>a</math> yan ufrdis n <math>I</math> ;
* <math>E</math> yan usayrar amaway alugan ilaw ;
* <math>f</math> yat tasɣnt zɣ <math>I</math> ar <math>E</math> ittuzlamn ɣ <math>a</math> ar yat tfsna bḍḍbṭ <math>n\geq1.</math>

S man aya, i kraygat <math>x</math> illan ɣ <math>I</math>, darnɣ tanfalit n Taylor-Young:<math display="block">
  f(x) = f(a)
  + \frac{f'(a)}{1!}(x - a)
  + \frac{f^{(2)}(a)}{2!}(x - a)^2
  + \cdots
  + \frac{f^{(n)}(a)}{n!}(x - a)^n
  + R_n(x)
</math>nɣ s tɣarast yaḍnin :

<math display="block">
  \displaystyle f(x) = \sum_{k=0}^n \frac{f^{(k)}(a)}{k!}(x-a)^k + R_n(x)
</math>maɣ asagur <math>
  R_{n}(x)
</math> lli d iciḍn iga tasɣnt tawzizt taman <math>
  (x-a)^n
</math> ɣ tidjiwṛa n <math>
  a
</math>, 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:

<math display="block">
  f(a + h) = f(a)
  + \frac{f'(a)}{1!}h
  + \frac{f^{(2)}(a)}{2!}h^2
  + \cdots
  + \frac{f^{(n)}(a)}{n!}h^n
  + R_n(h)
</math>nɣ s tɣarast yaḍnin :

<math display="block">
  \displaystyle f(a + h) = \sum_{k=0}^n \frac{f^{(k)}(a)}{k!}h^k + R_n(h)
</math>maɣ asagur <math>
  R_{n}(x)
</math> lli d iciḍn iga tasɣnt tawzizt taman <math>
  h^n
</math> ɣ tidjiwṛa n 0.

Talɣa y'ad ar sis nswurri lbɛḍ n twal iɣ nlla taman tidjiwṛa n <math>
  a
</math> (aynna issumkn i <math>
  h
</math> mẓẓiyn).

== Ẓṛ uggar ==

* [[Alugaritm agaman]]
* [[Asnful n Nyuṭun]]
* [[Targadda n Cauchy–Schwarz|Targadda n Cauchy Schwarz]]
* [[Tanfalit n Stirling]]

== Amawal ==
'''Tiguriwin'''
<div style="column-count:3;-moz-column-count:3;-webkit-column count:">
* Taslṭ = analyse
* Tasɣnt = fonction
* Itwazlamn = derivable
* Tidjiwṛa = voisinage
* Agtful = polynome
* Imuskirn = coefficients
* Asmdya = representation
*Asayrar = espace
*Amaway = vectoriel
*Alugan = norme
*Tawzizt = negligeable
*Asagur = restes
</Div>
'''Imawaln n tusnakt n tmaziɣt'''

Amawal umniḍ DGLAi n [[Asinag Agldan n Tussna Tamaziɣt]], s kraḍ tutlayin (tamaziɣt tatrart tamɣribit - tafransist - taɛrabt) <small>[https://web.archive.org/web/20210103122850/https://tal.ircam.ma/dglai/lexieam.php <nowiki>[Alink nns]</nowiki>]</small>

Amawal Tafsut n tusnakt - MCB Alger, Tiwi Uzzu s sin tutlayin (tamaziɣt taqbaylit - tafransist) <small>[http://adrar-inu.blogspot.com/2015/04/lexique-de-mathematiques-amawal-n.html <nowiki>[Alink nns]</nowiki>]</small>

{{Aggur:Tusnakt/Tin imgradn}}
[[Taggayt:Tusnakt]]
[[Taggayt:Tussna]]
== Isaɣuln == 
<references/>