A hyperplane is a siab dua-dimensional generalization ntawm kab thiab dav hlau Qhov sib npaug ntawm ib lub dav hlau yog w · x + b=0, qhov twg w yog vector ib txwm rau lub hyperplane thiab b yog ib qho offset. … Yog tias y > 0, ces x nyob rau ib sab ntawm lub dav hlau dav dav, thiab yog tias y < 0, ces x yog nyob rau sab nraud ntawm lub dav hlau.
Puas yog kab ib lub dav hlau dav hlau?
Raws li piv txwv, ib qho taw tes yog lub dav hlau dav dav hauv 1-seem qhov chaw, kab yog a hyperplane hauv 2-dimensional space, thiab lub dav hlau yog lub dav hlau loj hauv 3- qhov chaw seem. Ib txoj kab hauv 3-seem qhov chaw tsis yog lub dav hlau dav dav, thiab tsis cais qhov chaw ua ob ntu (qhov txuas ntxiv ntawm cov kab no txuas nrog).
Dab tsi yog qhov txawv ntawm lub dav hlau thiab lub dav hlau siab?
yog lub dav hlau yog (geometry) ib qho chaw tiaj tiaj txuas mus rau hauv txhua qhov kev qhia (xws li kab rov tav lossis ntsug dav hlau) thaum lub dav hlau yog (geometry) ib qho n'-dimensional generalization ntawm lub dav hlau; ib qho affine subspace ntawm qhov ntev 'n-1' uas faib qhov chaw 'n -dimensional (hauv ib qhov chaw seem, nws yog qhov taw tes; hauv …
Dab tsi yog lub dav hlau dav dav hauv geometry?
Nyob hauv geometry, ib lub dav hlau loj yog ib subspace uas nws qhov ntev yog ib qho tsawg dua li ntawm nws qhov chaw ambient. Yog hais tias qhov chaw yog 3-dimensional ces nws hyperplanes yog 2-dimensional dav hlau, hos yog hais tias qhov chaw yog 2-dimensional, nws hyperplanes yog 1-dimensional kab.
Hyperplane hauv tshuab kev kawm yog dab tsi?
Hyperplanes yog kev txiav txim siab ciam teb uas pab faib cov ntaub ntawv cov ntsiab lus Cov ntsiab lus poob ntawm ob sab ntawm lub dav hlau tuaj yeem raug ntaus nqi rau ntau chav kawm. Tsis tas li ntawd, qhov ntev ntawm lub hyperplane nyob ntawm tus naj npawb ntawm cov yam ntxwv.… Siv cov kev txhawb nqa vectors no, peb ua kom cov npoo ntawm qhov kev faib tawm ntau tshaj plaws.
