2024 Tus sau: Elizabeth Oswald | [email protected]. Kawg hloov kho: 2024-01-13 00:07
Txhua yam tsis txaus ntseeg sawv cev ua haujlwm nyuaj hauv lej, tus sawv cev nyuaj yog tus sawv cev ntawm ib pab pawg (lossis ntawm Lie algebra) ntawm qhov chaw vector complex. Qee lub sij hawm (piv txwv li hauv physics), lub sij hawm kev sawv cev yog tshwj tseg rau kev sawv cev ntawm qhov chaw vector nyuaj uas tsis yog qhov tseeb lossis pseudoreal (quaternionic). https://en.wikipedia.org › wiki › Complex_representation
Kev sawv cev tsis yooj yim - Wikipedia
ntawm ib pab pawg neeg abelian yog 1-dimensional. … Cia (ρ, V) ua tus sawv cev tsis txaus ntseeg ntawm G. Vim G yog abelian, peb paub tias ρ(g)ρ(h)v=ρ(gh)v=ρ(hg)v=ρ(h)ρ (g)v rau txhua tus v ∈ V.
Yuav ua li cas koj ua pov thawj tias tus sawv cev tsis tuaj yeem hloov tau?
Tus sawv cev tsis tuaj yeem yog tias tsis muaj qhov tsim nyog, tsis tseem ceeb ntawm V uas tsis sib xws raws li kev ua ntawm G. Ob lub ntsiab lus zoo ib yam li siv rau Lie algebras.
Dab tsi yog sawv cev tsis tau?
Nyob rau hauv ib tug muab sawv cev, txo los yog irreducible, pawg cim ntawm tag nrho cov matrices teej tug mus rau kev khiav hauj lwm nyob rau hauv tib chav kawm ntawv yog zoo tib yam(tab sis txawv ntawm cov nyob rau hauv lwm yam sawv cev). … Ib qhov sawv cev ib sab nrog tag nrho 1s (tag nrho sib npaug) yuav muaj nyob rau txhua pab pawg.
Puas sawv cev ncaj ncees?
Rau G ib pawg algebraic, ces tus sawv cev ncaj ncees. Ntxiv mus, nws muajfinite-dimensional ncaj ncees sub-presentations.
Puas yog tus sawv cev uas sib npaug rau qhov sawv cev tsis tuaj yeem tsis lees paub qhov tseeb?
Ib tus sawv cev hu ua irreducible yog tias nws tsis muaj qhov sib txawv ntawm qhov sib txawv. Nws yog hu ua reducible kiag li yog hais tias nws decomposes raws li ib tug ncaj sum ntawm irreducible sub- sawv cev. Tshwj xeeb, cov neeg sawv cev tsis tuaj yeem txo tau tag nrho.
Pom zoo:
Puas yog lub hwj huam dawb huv nyob hauv cov ntseeg thiab cov tsis ntseeg?
> Tus Vaj Ntsuj Plig Dawb Huv muaj kev qhuab qhia rau cov tsis ntseeg. > Tus Vaj Ntsuj Plig Dawb Huv ua Nws txoj hauj lwm qhuab qhia los ntawm peb ua neeg ntseeg. 1. Qhov tshwm sim ntawm Vaj Ntsuj Plig Dawb Huv txoj hauj lwm qhuab qhia los ntawm peb mus rau cov neeg tsis ntseeg yog Hnub Yug Tshiab-- hloov lub neej!
Puas yog cov neeg Portuguese suav tias yog neeg hais lus tsis txaus ntseeg hauv kev nkag mus kawm qib siab?
Tam sim no, US Census Bureau excluding the Portuguese and Brazilians under nws haiv neeg Hispanic (Garcia). Koj puas yog Latino yog tias koj yog Portuguese? Ib tug neeg Latino/a lossis Hispanic tuaj yeem yog haiv neeg lossis xim. Feem ntau, "
Puas yog txuj ci tseem ceeb rau cov ntseeg lossis cov tsis ntseeg?
Vajtswv muaj peev xwm thiab ua tau tej txuj ci tseem ceeb rau tib neeg niaj hnub no, txawm yog rau cov tsis ntseeg, vim Nws hlub lawv. Nws yog tib yam nyob rau hauv phau Vajlugkub lub sij hawm; “Cov neeg coob coob nrhiav kov (Yexus), rau qhov lub hwj chim tawm ntawm Nws, thiab kho lawv txhua tus” Lukas 6:
Puas yog qhov tsis zoo ntawm qhov tsis txaus ntseeg tuaj yeem ntsuas tau hauv cov menyuam kawm ntawv preschool?
Cov pov thawj dav dav qhia pom tias qhov siab Callous-Unemotional (CU) zoo nyob rau hauv thaum yau thiab cov hluas tuaj yeem txhim khu kev txheeb xyuas cov tib neeg muaj kev pheej hmoo rau kev tawm tsam kev sib raug zoo. Txoj kev tshawb fawb tam sim no hais txog kev tshawb nrhiav qhov tsis sib xws los ntawm kev tshawb xyuas cov qauv ntawm CU tus cwj pwm hauv cov menyuam yaus hnub nyoog preschool.
Puas yog cov tshuaj tiv thaiv cannizzaro yog qhov tsis txaus ntseeg?
Cov tshuaj tiv thaiv Cannizzaro, muaj npe tom qab nws tus neeg nrhiav pom Stanislao Cannizzaro, yog cov tshuaj tiv thaiv tshuaj uas cuam tshuam nrog base-induced disproportionation ntawm ob lub molecules ntawm cov tsis-enolizable aldehydelos muab thawj.
