Talast (Tusnakt)

Deg Tasleṭ tusnakt, tazmilt n talast teglem tamawaẓt n wazalen n usartu ma d amatar yettruḥu-d s ifeḍ, neɣ d tesɣunt ma d umutti  yettaẓ-d ar waggaz ( yezmer lḥal d yifeḍ ) deg yiri n tɣult n tbadut. ma talast-nni tella deg  tegrumma n waggwaḍ, ihi ad nini d akken asartu neɣ tasɣunt yettaweḍ ( deg waggaz yettwaɣren ) . ma yella mačči akka, ihi d tamhelwayt am wakken yella deg isurta neɣ tisɣunin tiwulanin mačči timezgatin ( am tasɣunt sinus deg  )

ddaw tawtilt n tilin, Akti n talast ad yili s usiḍen gar iferdisen s timhalin tiferdisin, ama nesɛa aṭas n telɣiwin tuffirin i zemren ad ilin. Asnemhel n  tigmi yettaǧǧa mennaw n tikwal ad tekkes tuffrawin-igi.

Aguccel d talast yezmer ad yifsus s tenfalit n ugdazal (ladɣa deg waddad n talast tilemt neɣ tifeḍt ), deg tanasaẓt tamezlagut neɣ deg ifurken  iknuziraren, neɣ taneflit yeffuken neɣ d anasaẓ.

 Talast n usartu 

 Imedyaten imezwura s isurta ilawen 
ma  d amḍan ameqqran aṭas (ummid), imitti-ines  yuẓan aṭas ar 0. wagi nezmer ad negg s tugda yagi : .

Am wakken, nezmer ad naru , imi aẓar amkuẓ yezmer ad yili meqqer mliḥ ma ara d yili  meqqar akken iwata (amedya, akken ad nesɛu  , ilaq ad yili  >  ) 

seg tama nniḍen, ur telli ara talast n usartu awalan , iwumi ara ad yesɛu s temlellayt azalen 1 d -1, ama ur yettruḥu ara la ar -1 la ar 1, la ar wazal deg uzilal ]-1,1[ neɣ berra-s. imi yella d asartu ugmir, ihi ur yezmir ara ad yruḥ ar  neɣ 

 Agtalɣa 

 talast ifuken 
tabadut sɣur Weierstrass n uggwaḍ n usartu ilaw  ar talast ifuken L ad nfali s tenfalit agi : 



neɣ ugar, s tenfalit tagdazalt deg waddad n usartu ilaw, iwumi ara ad yezgu mliḥ deg isurta n wazalen isalalen.



tabadut agi ad ssiɣzef daɣen ar isurta deg tallunt tamawayt talugant s ubeddel n wazal amagdaz s walugen, arnu s umata ar isurta deg tallunt timizrirt s tenfalit agi : 



deg sin addaden-igi, ur yezmir ara ad illin sin n tlasin i yemgaraden ar yiwen usartu, wagi aɣ-yeǧǧ ad negg tagda yagi :  , nettaf tikwal tira yagi  

 talast timifeḍt 
neqqar d akken usartu  yettemhelway ar  deg waddad agi: 

S terwest, yettemhelway ar  deg waddad agi : 

 Talast n tesɣunt 
tazmilt n talast n tesɣunt tettemcabi ar tazmilt n talast n usartu, siwa aya amutti n tesɣunt yezmer ad iruḥ ar wazal menwala deg taɣult n tbadut neɣ deg tilisa-ines.

daɣen, i yal tesɣunt tettwabadu deg yiwen uzilal , nezmer ad nẓer talasin i zemrent ad ilint n tesɣunt deg yal ilaw   deg uzilal, ama daɣen deg yigmiren  d , igmiren-a zemren ad ilin ifuken neɣ xaṭi. 

 Talast ifuken seg wazal ifuken 

 Tabadut 
i yal tasɣunt tilawt neɣ tasemlalt n yiwen umutti ilaw neɣ asemlal, tanfalit n talast ifuken deg wazal ifuken tettemcaba

ar tinna n talast n usartu  



Tella daɣen : 

 talast deg uyeffus neɣ d uzelmaḍ 
alt=Représentation graphique de la fonction inverse|vignette|talasin deg yigrimiren n uzilal n tesɣunt timittit: , , 

talast n tesɣunt f ar uẓelmaḍ deg ilaw a yettwaru  neɣ 

akken ,  

deg a yettwaru  neɣ

akken, 

 Imedyaten 

 Talast n x-> 1/x deg ifeḍ yegda-d ar 0 : 
 talast n x-> 1/x deg 0 ur telli ar. Talast teyeffust d ifeḍ  :   

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