Euclidean qhov chaw yog qhov chaw tseem ceeb ntawm classical geometry. Keeb kwm, nws yog qhov chaw peb-dimensional ntawm Euclidean geometry, tab sis hauv kev ua lej niaj hnub no muaj Euclidean qhov chaw ntawm txhua qhov tsis muaj qhov sib npaug, suav nrog qhov chaw peb sab thiab Euclidean dav hlau.
Dab tsi txhais qhov chaw Euclidean?
Euclidean chaw, Hauv geometry, ib qhov chaw ob lossis peb-dimensional nyob rau hauv uas cov axioms thiab postulates ntawm Euclidean geometry siv; kuj, ib qho chaw nyob rau hauv ib qho finite tus naj npawb ntawm qhov ntev, nyob rau hauv uas cov ntsiab lus raug xaiv los ntawm kev tswj hwm (ib qho rau txhua qhov ntev) thiab qhov kev ncua deb ntawm ob lub ntsiab lus yog muab los ntawm tus qauv nyob deb.
Qhov chaw Euclidean yog dab tsi hauv linear algebra?
Definition 1 (Euclidean Space) Ib qhov chaw Euclidean yog a qhov chaw seem-dimensional vector space hla qhov tiag R, nrog cov khoom sab hauv 〈·, ·〉.
Euclidean thiab qhov tsis yog Euclidean yog dab tsi?
Thaum Euclidean geometry nrhiav kom nkag siab txog geometry ntawm tiaj tus, ob sab qhov chaw, tsis yog Euclidean geometry kev kawm nkhaus, es tsis yog tiaj tus, nto Txawm hais tias Euclidean geometry muaj txiaj ntsig ntau. teb, qee zaum, tsis yog-Euclidean geometry tej zaum yuav muaj txiaj ntsig zoo dua.
Qhov txawv ntawm Euclidean thiab Cartesian qhov chaw yog dab tsi?
Ib qhov chaw Euclidean yog qhov chaw geometric txaus siab Euclid's axioms. Ib qhov chaw Cartesian yog txheej ntawm txhua tus lej xaj ntawm tus lej tiagpiv txwv li. ib qhov chaw Euclidean nrog cov duab plaub.
