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Talast (Tusnakt)

Si Wikipedia, tasanayt tilellit.

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

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Imedyaten imezwura s isurta ilawen

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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 n > 1 000 000 )


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

talast ifuken

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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

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neqqar d akken usartu yettemhelway ar deg waddad agi:


S terwest, yettemhelway ar deg waddad agi :


Talast n tesɣunt

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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

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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

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Représentation graphique de la fonction inverse
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

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  • 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  :