Puas xaj tseem ceeb hauv cov khoom cartesian?

Cov txheej txheem:

Puas xaj tseem ceeb hauv cov khoom cartesian?
Puas xaj tseem ceeb hauv cov khoom cartesian?

Video: Puas xaj tseem ceeb hauv cov khoom cartesian?

Video: Puas xaj tseem ceeb hauv cov khoom cartesian?
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Puas xaj teeb meem hauv Cartesian khoom? Yog, qhov kev txiav txim uas cov khoom sib npaug hauv cov khoom cartesian tseem ceebvim tias cov khoom cartesian tsis sib hloov. Ob txheej A thiab B yog li ntawd, cov khoom cartesian A × B yuav tsis sib npaug rau cov khoom cartesian B × A.

Puas kev txiav txim tseem ceeb hauv Cartesian cov khoom?

Kev txiav txim tseem ceeb. Yog tias A=B, ces tsis muaj tseeb tias A × B=B × A, txij li kev txiav txim hauv txhua khub tseem ceeb. Peb tuaj yeem nqa cov khoom cartesian ntau tshaj li ob teev, piv txwv li, A × B × C. Qhov no yog cov txheej txheem ntawm kev txiav txim triples (a, b, c), nyob rau hauv txhua txoj kev koj tuaj yeem tsim cov no.

Yuav ua li cas yog khub hauv Cartesian khoom?

Ib tug txiav txim txhais tau tias ob lub ntsiab yog muab los ntawm txhua lub teeb. Rau ob qhov tsis yog qhov khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob khoob.

Cov khoom ntawm Cartesian yog dab tsi?

Khoom ntawm Cartesian khoom

  • Cov khoom Cartesian tsis yog-commutative: A × B ≠ B × A.
  • Lub cardinality ntawm Cartesian khoom yog txhais raws li tus naj npawb ntawm cov ntsiab lus hauv A × B thiab yog sib npaug rau cov khoom ntawm cardinality ntawm ob pawg: |A × B|=|A||B|
  • A × B={∅}, yog A={∅} lossis B={∅}

Koj puas tuaj yeem ua Cartesian cov khoom nrog khoob?

Cov Khoom Muag Cartesian yog qhov sib npaug ntawm ob pawg A thiab B, uas tsim cov khub xaj. Cov khoom Cartesian ntawm ib qho teeb nrog lub khoob khoob yuav ib txwm khoob vim tias lub teeb khoob tsis muaj cov ntsiab lus.

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