Kodi chimapangitsa ntchito kukhala Surjective chiyani?
Kodi chimapangitsa ntchito kukhala Surjective chiyani?
Anonim

Mu masamu, a ntchito f kuchokera pa X kupita ku Y ndi wodzikayikira (yomwe imadziwikanso kuti onto, kapena kuyerekezera), ngati pa chinthu chilichonse y mu codomain Y ya f, pali chinthu chimodzi x mu domain X mwa f kotero kuti f(x) = y.

Mwachidule, mumadziwa bwanji ngati ntchitoyo ndi Surjective?

Wongoganizira (Amatchedwanso "Onto") A ntchito f (kuchokera ku A mpaka B) ndiwodzikayikira ngati ndipo pokhapokha pa y iliyonse mu B, pali osachepera x mmodzi mu A kotero kuti f(x) = y, mwa kuyankhula kwina f ndiwodzikayikira ngati ndi f(A) = B.

Komanso, mumadziwa bwanji ngati ntchitoyo ili ndi zithunzi? Kwa m'modzi: mizere yokhotakhota (yozungulira mpaka x-axis) ndiye ngati mutapeza mzere woyimirira ukudutsa ntchito ndiye si m'modzi. Ponena za mzere umodzi woyimirira uyenera kudumphana ndi chimodzi graph za ntchito nthawi imodzi!

Mwanjira imeneyi, zikutanthauza chiyani kuti ntchitoyo ikhale yongopeka?

The ntchito ndi surjective (pa) ngati chinthu chilichonse cha codomain ndi kujambulidwa ndi chinthu chimodzi cha thedomain. (Kuti ndi, chithunzi ndi codomain yantchito ndi wofanana.) A surjective ntchito ndi kudzikuza.

Ndi ntchito zingati zomwe Surjective?

Kupanga a ntchito kuchokera ku A mpaka B, pa chinthu chilichonse mu A muyenera kusankha chinthu mu B. Pali njira zitatu zosankhira chilichonse mwa zinthu zisanuzo = ntchito. Koma ife tikufunasurjective ntchito.

Yotchuka ndi mutu