Liouville's theorem hais tias: Qhov ntom ntawm cov xeev hauv ib pawg ntawm ntau lub xeev zoo ib yam nrog cov xwm txheej pib sib txawv yog nyob ib puag ncig txhua txoj hauv kev hauv theem chaw.
Liouville's theorem hauv lej yog dab tsi?
Nyob rau hauv kev tsom xam, Liouville's Theorem hais tias qhov kev ua haujlwm holomorphic nyob rau tag nrho cov dav hlau complex yuav tsum tsis tu ncua. Nws muaj npe tom qab Joseph Liouville.
Dab tsi yog qhov tseem ceeb ntawm Liouville lub theorem?
Liouville's theorem qhia peb tias qhov ntom ntawm cov ntsiab lus sawv cev rau cov khoom hauv 6-D theem qhov chaw tau txais kev cawmdim raws li ib qho ua raws lawv los ntawm qhov chaw ntawd, muab qee yam kev txwv ntawm lub zog ntawm cov khoom. ntsib.
Lub xeev qhov chaw nyob theem twg ua pov thawj Liouelles Theorem?
Liouville's theorem hais tias nyob rau hauv 2fN qhov chaw seem (f yog tus lej ntawm qib kev ywj pheej ntawm ib qho), nthuav tawm los ntawm kev tswj hwm thiab lub sijhawm ntawm tag nrho cov khoom (hu ua 1 qhov chaw), ntom hauv theem qhov chaw yog qhov tsis tu ncua raws li ib qho txav nrog rau txhua lub xeev taw tes
Gibbs paradox txhais li cas?
Los ntawm Wikipedia, phau ntawv qhia dawb. Nyob rau hauv statistical mechanics, ib nrab-classical derivation ntawm lub entropy uas tsis coj mus rau hauv tus account lub indistinguishability ntawm hais, yields ib qho kev qhia rau lub entropy uas yog tsis dav (tsis yog proportional rau tus nqi. ntawm cov ntsiab lus nug).
