Nyob rau hauv geometry, curvilinear coordinates yog ib qho kev sib koom ua ke rau Euclidean qhov chaw uas cov kab sib koom ua ke yuav nkhaus. Cov kev tswj xyuas no tuaj yeem muab tau los ntawm cov txheej txheem ntawm Cartesian kev tswj hwm los ntawm kev siv qhov hloov pauv uas nyob hauv zos invertible ntawm txhua qhov taw tes.
Dab tsi yog qhov nkhaus nkhaus?
Hauv Cartesian kev tswj hwm qhov kev sib koom ua ke nkhaus yog, qhov tseeb, cov kab ncaj, yog li kev sib koom ua ke. Tshwj xeeb, lawv yog cov kab sib npaug mus rau ib qho ntawm cov kev sib koom ua ke… Piv txwv li, cov kev sib koom ua ke hauv cov polar coordinates tau los ntawm kev tuav r tas li yog cov voj voog nrog qhov chaw ntawm lub hauv paus.
Puas yog cylindrical coordinates curvilinear?
Ob feem ntau-siv txheej ntawm orthogonal curvilinear coordinates yog cylindrical polar coordinates thiab spherical polar coordinates. Cov no zoo ib yam li lub dav hlau polar coordinates qhia hauv 17.2 tab sis sawv cev txuas ntxiv rau peb qhov ntev.
Yuav ua li cas yog lub orthogonal curvilinear coordinates?
Qhov tseem ceeb tshaj plaws ntawm cov tshuab no yog orthogonal; uas yog, ntawm txhua qhov chaw hauv qhov chaw cov vectors ua raws lipeb txoj kev sib koom tes yog kev sib koom ua keHauv gen eral, qhov kev hloov pauv ntawm ib qho kev sib koom ua ke yuav tsim qhov nkhaus hauv qhov chaw, tsis yog qhov ncaj. kab; li no lub sij hawm curvilinear.
curvilinear nrug yog dab tsi?
Yog tias ob lub ntsiab lus yog cov neeg nyob sib ze, piv txwv li ib qho ntawm ob lub ntsiab lus yog qhov ze tshaj plaws rau ib qho, ces nws zoo li ib ntu uas yuav tsum txuas ob lub ntsiab lus; qhov curvilinear nrug ntawm lawv yog tsuas yog qhov ntev ntawm ntuqhov laj thawj no muab cov lus qhia txog kev sib txuas ntawm cov ntsiab lus.
