Cov txheej txheem:
- Koj pom qhov txwv ntawm Cauchy li cas?
- Puas txhua qhov Cauchy ib ntus sib sau ua ke?
- Puas tag nrho cov kev sib koom ua ke muaj qhov txwv?
- Ib kab lus puas tuaj yeem hloov pauv mus rau ob qhov sib txawv?
Video: Puas txhua qhov kev sib tw cauchy muaj qhov txwv?
2024 Tus sau: Fiona Howard | [email protected]. Kawg hloov kho: 2024-01-10 06:38
Theorem 1 Txhua Cauchy sequence of real numbers converges to a limit.
Koj pom qhov txwv ntawm Cauchy li cas?
Prove: The limit of a Cauchy sequence an=limn →∞an.
Puas txhua qhov Cauchy ib ntus sib sau ua ke?
Txhua tiag Cauchy sequence is convergent. Theorem.
Puas tag nrho cov kev sib koom ua ke muaj qhov txwv?
Vim li no rau txhua qhov sib koom ua ke qhov txwv tsis pub. Piv txwv tias {an}n∈N yog convergent. Tom qab ntawd los ntawm Theorem 3.1 qhov txwv yog qhov tshwj xeeb thiab yog li peb tuaj yeem sau nws li l, hais.
Ib kab lus puas tuaj yeem hloov pauv mus rau ob qhov sib txawv?
nws txhais tau tias L1 − L2=0 ⇒ L1=L2, thiab yog li cov kab ke tsis tuaj yeem muaj ob qhov sib txawv. Rau qhov no ϵ, txij li ib qho kev sib tshuam rau L1, peb muaj tias muaj qhov ntsuas N1 kom |an −L1| N1. Nyob rau tib lub sij hawm, ib tug converges rau L2, thiab yog li ntawd muaj ib tug Performance index N2 thiaj li hais tias |an −L2| N2.
Pom zoo:
Puas muaj kev sib haum xeeb ntawm kev sib haum xeeb kev cai lij choj?
Peb qhov kev sib cog lus loj yog Kev Sib Tham Zoo Tshaj Plaws, Peb Lub Tsib Hlis Ntuj, thiab Tsev Kawm Ntawv Xaiv Tsa. Qhov Kev Pom Zoo Loj tau daws teeb meem ntawm kev sawv cev hauv tsoomfwv . Qhov kev sib haum xeeb loj ntawm Txoj Cai Lij Choj tau ua rau dab tsi?
Txhua leej txhua tus puas muaj kev nco qab?
Tsis tas li ntawd, tsis yog txhua tus muaj kev hais lus sab hauv monologue (saib § Tsis muaj kev sib tham sab hauv). looser flow of thoughts and experiences, verbal or not, hu ua kwj ntawm kev nco qab, uas tuaj yeem xa mus rau cov txheej txheem cuam tshuam hauv cov ntaub ntawv .
Puas txhua leej txhua tus muaj qhov muag sib txawv?
Zoo. Qhov loj ntawm tib neeg lub qhov muag yog kwv yees li (axial) nrog tsis muaj qhov sib txawv ntawm poj niam txiv neej thiab hnub nyoog pawg. Nyob rau hauv txoj kab uas hla, lub qhov muag loj yuav txawv ntawm 21 hli mus rau 27 hli . Puas muaj ib lub qhov muag loj dua lwm tus?
Puas muaj txoj hauv kev ntawm kev sib tshuam tsis muaj kev hla kev?
Yog tsis muaj kev hla kev, qhov chaw nyab xeeb tshaj rau cov neeg taug kev hla txoj kev yog ntawm kev sib tshuam. Cov neeg tsav tsheb muaj txoj cai ntawm txhua qhov chaw uas tsis yog kev sib tshuam thiab cim kev hla kev . Leej twg muaj txoj cai ntawm txoj kev sib tshuam?
Nyob rau hauv ib qho kev tsis sib haum xeeb pn kev sib tshuam cov kev sib tshuam tam sim no ntawm qhov sib npaug yog?
Nyob rau hauv qhov tsis ncaj ncees PN-kho qhov kev sib tshuam tam sim no ntawm qhov sib npaug yog zero, vim tias sib npaug tab sis cov neeg nqa khoom hla hla kev sib tshuam . Thaum pn kev sib tshuam tsis ncaj ncees qhov kev sib tshuam tam sim no ntawm qhov sib npaug yog?
