Video: Yuav ua li cas koj thiaj paub tias kev hloov pauv yog ib qho rau ib qho?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Thaum twg ib linear kev hloov pauv yog piav nyob rau hauv lub sij hawm ntawm ib tug matrix nws yog ib qho yooj yim mus txiav txim yog tias cov linear transformation yog ib-rau-ib los yog tsis yog los ntawm kev txheeb xyuas cov linear dependence ntawm kab ntawm matrix. Yog cov kab yog linearly ywj siab, lub linear transformation yog ib-rau-ib.
Nyob rau hauv no hais txog, nws txhais li cas yog hais tias ib tug linear transformation yog ib tug mus rau ib tug?
Ib-rau-ib-linear Transformations . Txhais : A linear transformation uas qhia cov ntsiab lus sib txawv / vectors los ntawm cov ntsiab lus sib txawv / vectors hauv yog hais tias yog a ib-rau-ib transformation los yog txhaj tshuaj kev hloov pauv . Yog li ntawd rau txhua vector, muaj tiag tiag ib vector li ntawd.
Ib tug kuj yuav nug, ib tug linear transformation yuav mus rau tab sis tsis yog ib tug rau ib? Hauv cov ntsiab lus matrix, qhov no txhais tau tias a kev hloov pauv nrog matrix A yog mus rau yog Ax = b muaj kev daws teeb meem rau ib qho b hauv qhov ntau. Yog ib kev hloov pauv yog mus rau tab sis tsis yog ib leeg , koj ua tau xav txog tus sau raws li muaj ntau vectors kom haum rau hauv ntau yam.
Ntawm no, lub matrix puas tuaj yeem yog ib qho rau ib qho thiab tsis mus rau?
Hauv particular, tus nkaus xwb matrices uas ua tau ua ob leeg ib-rau-ib thiab mus rau yog square matrices . Ntawm qhov tod tes, koj ua tau muaj ib m × n matrix nrog m<n mus rau , los yog ib uas yog tsis mus rau . Thiab koj ua tau muaj mx n matrices nrog m>n ib-rau-ib , thiab matrices uas yog tsis yog ib leeg.
Koj ua pov thawj li cas linear transformation?
Rau txhua y ∈ Y muaj tsawg kawg ib x ∈ X nrog f(x) = y. Txhua lub ntsiab lus ntawm codomain ntawm f yog qhov tso zis rau qee qhov kev tawm tswv yim. Peb tuaj yeem tshawb xyuas seb a linear transformation yog ib-rau-ib los yog mus rau los ntawm kev tshuaj xyuas cov kab ntawm nws cov qauv matrix (thiab kab txo qis).
Pom zoo:
Koj yuav ua li cas paub yog tias qhov hloov pauv theem yog qhov zoo lossis tsis zoo?
Yog tias lub sijhawm hloov pauv yog xoom, qhov nkhaus pib ntawm keeb kwm, tab sis nws tuaj yeem txav mus rau sab laug lossis sab xis nyob ntawm theem hloov. Kev hloov pauv theem tsis zoo qhia txog kev txav mus rau sab xis, thiab theem zoo hloov pauv qhia tias txav mus rau sab laug
Yuav ua li cas koj thiaj paub yog tias koj lub tsev nyob rau hauv lub dab dej?
Ntawm no yog 7 lub cim qhia ntau tshaj plaws hauv lub dab dej yuav tshwm sim: Ib puag ncig kev nyuaj siab nyob rau hauv lub ntiaj teb: Localized subsidence los yog kev nyuaj siab nyob txhua qhov chaw ntawm lub tsev: Lub pas dej ncig (los yog lub pas dej loj, tob): Lub hauv paus daws teeb meem: Kev tawg ntawm txoj kev lossis pavement : Cia li poob ntawm qhov dej hauv qhov chaw:
Koj tuaj yeem ua li cas yog tias koj tsis paub tias txheej twg yog nyob rau hauv cov txheej txheem rho tawm?
Koj tuaj yeem ua li cas yog tias koj tsis paub tias txheej twg yog nyob rau hauv cov txheej txheem rho tawm? Tso dej me me rau hauv lub caj dab ntawm qhov sib cais funnel. Ua tib zoo saib nws: yog tias nws tseem nyob hauv txheej txheej sab saud, txheej txheej ntawd yog txheej dej
Thaum ib qho kev sib cais ua rau muaj kev hloov pauv hloov pauv ntawm lub ntiaj teb nce ntxiv?
Txij li thaum lub kaw lus raug cais tawm, tsis muaj cua sov tuaj yeem khiav tawm (tus txheej txheem yog li adiabatic), yog li thaum lub zog ntws tawm hauv lub cev, qhov entropy ntawm qhov system nce, piv txwv li Δ Ssys> 0. Yog li ntawd, lub entropy ntawm lub system yuav tsum tau nce rau ib tug spontaneous txheej txheem nyob rau hauv no cais system
Kuv yuav ua li cas thiaj paub yog tias kuv cov txhuam hniav yuav tsum tau hloov?
Raws li txoj cai dav dav, yog tias txhuam txhuam tau hnav txog li ib lub quarter ntiv tes ntev, nws yog lub sijhawm los hloov nws. Yog tias cov pa roj carbon (cov txhuam hniav yog qhov tseem ceeb ntawm cov pa roj carbon nrog lub caij nplooj ntoos hlav hlau) qhia pom tias muaj kev tawg, tawg, lossis hlawv, txhuam yuav tsum tau hloov