The Jacobian ∂(x, y)∂(u, v) yuav zoo lossis tsis zoo.
Yakhauj tsis zoo txhais li cas?
Nws txhais tau tias tias kev taw qhia ntawm thaj chaw me tau thim rov qab. Piv txwv li, yog tias koj mus ncig me ntsis square nyob rau hauv lub clockwise kev taw qhia nyob rau hauv parameter qhov chaw, thiab lub Jacobian Determinant nyob rau hauv lub cheeb tsam yog tsis zoo, ces txoj kev nyob rau hauv qhov chaw tso zis yuav yog me ntsis parallelogram traversed counterclockwise.
Puas yog Jacobian ib txwm zoo?
Thov nco ntsoov tias Jacobian txhais ntawm no yeej ib txwm zoo. Cov Lus Qhia: 24.2 Cov Yakhauj txoj kev sib raug zoo li cas los ntawm dxdy mus rau dsdt, thiab qhov ntawd mus qhov twg?
Yakhauj puas tuaj yeem yog xoom?
Yog tias Jacobian yog xoom, nws txhais tau tias uas tsis muaj qhov hloov pauv txhua yam, thiab qhov no txhais tau tias koj tau txais kev hloov pauv tag nrho ntawm xoom ntawm qhov ntawd (nrog rau tus nqi ntawm hloov raws li kev nthuav dav thiab kev cog lus nrog kev hwm rau tag nrho lub ntim).
Puas yog Jacobian ib txwm square?
Ib Jacobian Matrix tuaj yeem txhais tau tias yog matrix uas muaj thawj qhov kev txiav txim ib nrab rau kev ua haujlwm vector. Jacobian Matrix tuaj yeem ua tau ntawm txhua daim ntawv. Nws tuaj yeem yog cov duab plaub, qhov twg cov kab thiab kab tsis zoo ib yam, lossis nws tuaj yeem yog square matrix, qhov twg cov kab thiab kab sib npaug.
