Cov txheej txheem:
Video: Koj sau li cas infinite set?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2024-01-18 08:15
Piv txwv ntawm infinite teeb:
- Teeb ntawm tag nrho cov ntsiab lus hauv lub dav hlau yog ib qho infinite teeb .
- Teeb ntawm tag nrho cov ntsiab lus nyob rau hauv ib kab segment yog ib infinite teeb .
- Teeb ntawm tag nrho cov lej zoo uas yog ntau yam ntawm 3 yog ib infinite teeb .
- W = {0, 1, 2, 3, ……..} i.e. teeb ntawm tag nrho cov lej yog ib qho infinite teeb .
- N = {1, 2, 3, ……….}
- Z = {………
Ib yam li ntawd, tej zaum koj yuav nug, koj ua li cas qhia ib qho teeb meem tsis kawg?
Koj tuaj yeem ua pov thawj tias ib qho teeb meem tsis kawg tsuas yog ua kom pom ob yam:
- Rau ib tug muab n, nws muaj tsawg kawg yog ib feem ntawm qhov ntev n.
- Yog hais tias nws muaj ib lub caij ntawm qhov siab tshaj plaws finite ntev, ces koj tuaj yeem tsim lub caij ntev (yog li tsis lees paub tias lub caij ntawm qhov ntev tshaj plaws finite).
Qhov thib ob, koj yuav qhia li cas yog tias lub teeb yog infinite lossis finite? Cov ntsiab lus los txiav txim qhov teeb meem raws li finite lossis infinite yog:
- Yog hais tias ib lub teeb muaj qhov pib thiab qhov kawg taw tes ob ces nws yog finite tab sis yog hais tias nws tsis muaj ib tug pib los yog kawg taw tes ces nws yog infinite teeb.
- Yog hais tias ib lub teeb muaj ib tug tsawg tus naj npawb ntawm cov ntsiab lus ces nws yog finite tab sis yog hais tias nws cov naj npawb ntawm cov ntsiab lus yog unlimited ces nws yog infinite.
Qhov thib ob, dab tsi yog finite thiab infinite teeb nrog piv txwv?
Piv txwv ntawm Infinite Sets Yog ib teeb tsis yog a finite teeb , ces nws yog ib infinite teeb . Ntuj tus lej thiab cov lej yog ob piv txwv ntawm teeb uas yog tsis kawg thiab, yog li ntawd, tsis kawg . Lub boldface peev Z feem ntau yog siv los qhia qhov teeb ntawm tus lej.
Puas muaj cov txheej txheem infinite?
Tsis muaj infinite teev . Tsis yog xwb ua infinite sets tsis yog muaj , tab sis lub tswv yim heev yog qhov tsis sib haum xeeb - tsis txawv li "square circles". Infinite teev yog cov lus sau cia rau hauv lub hauv paus niaj hnub ntawm kev ua lej - nrog qhov hu ua "Lub Axiom ntawm Infinity ”.
Pom zoo:
Yuav ua li cas koj thiaj paub yog nws finite los yog infinite?
Cov ntsiab lus kom paub cov txheej txheem finite lossis infinite yog: Infinite teeb tsis muaj qhov kawg ntawm qhov pib lossis qhov kawg tab sis ob sab tuaj yeem muaj kev txuas ntxiv tsis zoo li hauv Finite teeb qhov twg ob qho tib si pib thiab xaus cov ntsiab lus nyob ntawd. Yog hais tias ib lub teeb muaj tus naj npawb ntawm cov ntsiab lus tsis txwv ces nws yog infinite thiab yog hais tias cov ntsiab lus suav tau ces nws yog finite
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