Thursday, April 1, 2021

Abele, Abele (opera), Abele (surname)

Abele:

Hiki paha iā Abele ke kuhikuhi iā:

  • ʻO Abele (kahi kauhale), kahi kauhale liʻiliʻi a i ʻole kauhale ma ke kūlanakauhale ʻo Poperinge, ma ka moku Belgian o West-Flanders
  • Abele (inoa)
  • ʻO Abele, cyclone tropical, 2010
  • ʻO ʻAbela, he hale Champagne
  • Abele (opera) , kahi pāʻani Italia na Vittoria Alfieri
  • ʻO USS Abele (AN-58) , he moku ʻAmelika ʻĀlika ʻAilanthus-e waiho ana i ka ʻupena net net
  • ʻO USS Mannert L. Abele (DD-733) , ʻAmelike ʻo Allen M. Sumner-he luku luku
  • ʻO Populus alba , ka poplar keʻokeʻo, kahi ʻano lāʻau
  • ʻAno ʻAbelian
  • Abele, ka inoa Polani no ke kaona ʻo Obeliai, Lituania
Abele (opera):

ʻO Abele kahi pāʻani Italia i hoʻoulu ʻia ma nā mokuna Baibala mua na Vittorio Alfieri (1749-1803) āna i hōʻike ai ma ke ʻano he tramelogedia. Ua kākau ʻia ia i ka makahiki 1786 a paʻi mua ʻia ma hope o ka make ʻana o Alfieri ma 1804 ma Ladana. Hiki ke hoʻokaʻawale ʻia nā hāmeʻe o ka pāʻani i ʻelua mau hui: Aia i ka hui mua nā mea mua o ka honua i noho ma hope o ka hana ʻana a me ka lua o ka pūʻulu e hōʻike i nā mea ʻuhane.

Abele (inoa)

ʻO Abele kahi ʻohana. E kuhikuhi paha ia i:

  • ʻO Anton Abele, he luna politika ʻo Suedena
  • ʻO Arnulf Abele (1914-2000), luna koa Kelemania
  • ʻO Arthur Abele, decathlete Kelemania
  • ʻO Chris Abele, he kanaka kālepa ʻAmelika a he mea aloha
  • Christoph Ignaz Abele (1628–1685), jurist Austrian jurist
  • ʻO Doris Abele, ka meaolaola kaiola Kelemania
  • ʻO Ekkehard Abele, he mea mele opera Kelemania
  • Johann Martin Abele (1753-1805), mea hoʻopuka Kelemania
  • ʻO John Abele, he kanaka kālepa ʻo ʻAmelika
  • Julian Abele (1881–1950), mea kālai kiʻi ʻAmelika
  • Lawrence G. Abele, kālaiʻike ʻAmelika
  • Mannert L. Abele (1903–1942), luna moku kaua ʻAmelika
  • Matthias Abele (1618–1677), Austrian jurist
  • Pete Abele (1916-2000), mea kālaiʻāina ʻAmelika
Abele (kauhale):

He kauhale liʻiliʻi ʻo Abele a i ʻole kahi kauhale ma ke kūlanakauhale ʻo Poperinge, ma ka moku Belgian o West-Flanders. Aia ke kauhale ma ka panalāʻau o Poperinge kūpono a me kāna "deelgemeente" Watou, akā aia kekahi hapa ma ka ʻāina ʻo Palani. Aia ma kahi o 600 mau kamaʻāina o Abele, a he 100 paha o lākou he poʻe Farani. Kūlike ke ala nui me ka palena ma waena o Pelekiuma a me Palani, no laila aia nā hale ma nā ʻaoʻao ʻokoʻa o ke alanui i kahi ʻāina ʻē.

Abele Ambrosini:

He ʻaoʻao Italia ʻo Abele Ambrosini .

Abele Blanc:

He mauna mauna ʻo ʻIbele Blanc . I ka 2011, lilo ʻo ia i iwakāluakūmālua i piʻi i ka ʻumikūmāwalu ʻewalu kaukani kaukani, i hana ʻia ma waena o 1992 a me 2011.

ʻO Foundation Argosy:

ʻO ka Argosy Foundation , hoʻokumu ʻia i ka makahiki 1997, aia ma Milwaukee, Wisconsin i kēia manawa. Ua kapa ʻia ia ma mua ʻo ka Abele Family Charities Trust.

Abele Nunatak:

ʻO Abele Nunatak kahi nunatak e waiho ana 2 mile (3 km) hikina o Hutcheson Nunataks ma ke poʻo o Balchen Glacier, ma ka ʻāina Marie Byrd Land. Ua palapala ʻia me ka hoʻohana ʻana i nā ana i hana ʻia e ka United States Geological Survey (USGS) a me nā kiʻi lewa o ka US Navy mai 1959-65, a ma hope ua kapa ʻia e ke Kōmike aʻoaʻo no nā inoa Antarctic (US-ACAN) ma hope o CA Abele, Jr., he lālā o ka ʻO Byrd Antarctic Expedition (1933-35).

ʻO Renzo Novatore:

ʻO Abele Rizieri Ferrari , ʻoi aku ka maikaʻi i ʻike ʻia e ka inoa peni ʻo Renzo Novatore , he anarchist individualist Italia, loio kūʻē a me ka mea kākau mele anti-fascist, he mea akeakamai a me ka mea koa, i kēia manawa i ʻike nui ʻia no kāna puke i paʻi ʻia e pili ana iā Toward the Creative Nothing a pili pū me nā ʻano ultra-modernist o futurism. Hoʻololi ʻia kona manaʻo e Max Stirner, Friedrich Nietzsche, Georges Palante, Oscar Wilde, Henrik Ibsen, Arthur Schopenhauer a me Charles Baudelaire.

Pākuʻi Forrestal:

ʻO ka mauna Forrestal kahi mauna mauna i uhi ʻia e ka hau, ma kahi o 105 km (65 mi) ka lōʻihi, e kū ana ma ka hikina o Dufek Massif a me ka pae ʻo Neptune ma nā mauna Pensacola o Antarctica. ʻIke ʻia a kiʻi ʻia ma ka lā 13 Ianuali 1956 ma kahi lele mokulele transcontinental o ka US Navy Operation Deep Freeze I mai McMurdo Sound a i kahi o ke kai ʻo Weddell a hoʻi.

ʻO Abele spelen:

ʻO ka Abele spelen kahi hōʻiliʻili o nā pāʻani ʻehā i loko o ka Van Hulthem Manuscript, mai ka makahiki 1410 a aia i ka hōʻuluʻulu o ka Royal Library o Belgian ma Brussels.

ʻO Ramón Abeledo:

He pâʻani pôpeku 'o Argentina' o Ramón Gregorio Abeledo i pâʻani no Argentina ma ka 1962 FIFA World Cup. Pāʻani 'o ia no Club Atlético Independiente.

Nacho Abeledo:

He pâʻani pôpeku Sepania ʻo Ignacio "Nacho" de Loyola Abeledo Rute i hoʻokani pila no CD San ​​Roque de Lepe ma ke ʻano he winger hema.

ʻO Ramón Abeledo:

He pâʻani pôpeku 'o Argentina' o Ramón Gregorio Abeledo i pâʻani no Argentina ma ka 1962 FIFA World Cup. Pāʻani 'o ia no Club Atlético Independiente.

Abela:

E nānā paha ʻo ʻAbela i:

  • Hiki (disambiguation)
  • ʻO Abeheh, Khuzestan
ʻO Abeheh, Khuzestan:

He kauhale ʻo Abeleh ma ka moku ʻo Rud Zard Rural, ma ka moku waena o Bagh-e Malek County, Khuzestan Province, Iran. Ma ka helu kanaka o 2006, ua kaulana kona ola ʻana, akā ʻaʻole hōʻike ʻia kona heluna kanaka.

Ableh-ye Sofla:

He kauhale ʻo Ableh-ye Sofla ma ka moku ʻo Holayjan Rural, ma ka moku waena o ka moku ʻo Izeh, ka moku ʻo Khuzestan, ʻIrani. Ma ka helu kanaka o 2006, 215 kona heluna kānaka, ma 38 mau ʻohana.

Ableh-ye Sofla:

He kauhale ʻo Ableh-ye Sofla ma ka moku ʻo Holayjan Rural, ma ka moku waena o ka moku ʻo Izeh, ka moku ʻo Khuzestan, ʻIrani. Ma ka helu kanaka o 2006, 215 kona heluna kānaka, ma 38 mau ʻohana.

Manfred Abelein:

He kanaka kālaiʻāina Kelemania ʻo Manfred Abelein . He lunamakaʻāinana ʻo ia no ka German Christian Democratic Union.

ʻO Abelemkpe:

He wahi kūlanakauhale ʻo Abelenkpe ma ka moku ʻo Accra Metropolitan, kahi moku o ka Greater Accra Region o Ghana.

ʻ Ablelo Abellen:

ʻO Abellen , Abenlen , Aburlin, a i ʻole Ayta Abellen , he ʻōlelo Sambalic. Aia ma kahi o 3,500 mau haʻi ʻōlelo a ʻōlelo ʻia i kekahi mau kaiāulu Aeta ma ka moku ʻo Tarlac, ʻo Philippines ʻo Ayta Abellen ponoʻī kahi ʻohana o ka ʻohana ʻōlelo Sambalic ma Filipaina a pili loa me nā ʻōlelo ʻelima Ayta ʻē aʻe wale nō, akā me ka ʻōlelo Botolan o ʻO Sambal.

ʻ Ablelo Abellen:

ʻO Abellen , Abenlen , Aburlin, a i ʻole Ayta Abellen , he ʻōlelo Sambalic. Aia ma kahi o 3,500 mau haʻi ʻōlelo a ʻōlelo ʻia i kekahi mau kaiāulu Aeta ma ka moku ʻo Tarlac, ʻo Philippines ʻo Ayta Abellen ponoʻī kahi ʻohana o ka ʻohana ʻōlelo Sambalic ma Filipaina a pili loa me nā ʻōlelo ʻelima Ayta ʻē aʻe wale nō, akā me ka ʻōlelo Botolan o ʻO Sambal.

ʻ Ablelo Abellen:

ʻO Abellen , Abenlen , Aburlin, a i ʻole Ayta Abellen , he ʻōlelo Sambalic. Aia ma kahi o 3,500 mau haʻi ʻōlelo a ʻōlelo ʻia i kekahi mau kaiāulu Aeta ma ka moku ʻo Tarlac, ʻo Philippines ʻo Ayta Abellen ponoʻī kahi ʻohana o ka ʻohana ʻōlelo Sambalic ma Filipaina a pili loa me nā ʻōlelo ʻelima Ayta ʻē aʻe wale nō, akā me ka ʻōlelo Botolan o ʻO Sambal.

ʻ Ablelo Abellen:

ʻO Abellen , Abenlen , Aburlin, a i ʻole Ayta Abellen , he ʻōlelo Sambalic. Aia ma kahi o 3,500 mau haʻi ʻōlelo a ʻōlelo ʻia i kekahi mau kaiāulu Aeta ma ka moku ʻo Tarlac, ʻo Philippines ʻo Ayta Abellen ponoʻī kahi ʻohana o ka ʻohana ʻōlelo Sambalic ma Filipaina a pili loa me nā ʻōlelo ʻelima Ayta ʻē aʻe wale nō, akā me ka ʻōlelo Botolan o ʻO Sambal.

Leonardo Abelenda:

ʻO Leonardo Daniel Abelenda Rodríguez ka mea haʻuki haʻuki Uruguayan e pāʻani nei no Plaza Colonia ma ka Uruguayan Segunda División.

Leonardo Abelenda:

ʻO Leonardo Daniel Abelenda Rodríguez ka mea haʻuki haʻuki Uruguayan e pāʻani nei no Plaza Colonia ma ka Uruguayan Segunda División.

ʻO Abelemkpe:

He wahi kūlanakauhale ʻo Abelenkpe ma ka moku ʻo Accra Metropolitan, kahi moku o ka Greater Accra Region o Ghana.

Jim Abeler:

ʻO James J. Abeler II kahi mea kālai'āina Minnesota a he lālā o ka Senate Minnesota. He lālā o ka Aoao Repubalika o Minnesota, ua pani ʻo ia i ka Apana 35 ma ka ʻaoʻao ʻākau o Twin Cities. Ma mua ua kū ʻo ia i ka ʻĀpana 35A ma ka Hale o nā Lunamakaʻāinana o Minnesota.

Jim Abeler:

ʻO James J. Abeler II kahi mea kālai'āina Minnesota a he lālā o ka Senate Minnesota. He lālā o ka Aoao Repubalika o Minnesota, ua pani ʻo ia i ka Apana 35 ma ka ʻaoʻao ʻākau o Twin Cities. Ma mua ua kū ʻo ia i ka ʻĀpana 35A ma ka Hale o nā Lunamakaʻāinana o Minnesota.

ʻAbela:

ʻO Abela kahi inoa Pelekane a me ka Iudaio, i lawe ʻia mai ka inoa Baibala ʻAbela. ʻO nā poʻe koʻikoʻi me ka inoa pū kekahi:

  • ʻO Beniamina ʻAmelē, he mea kālaikūlohea ʻAmelika
  • ʻO Edward Abeles (1869-1919), mea hana keaka ʻAmelika
  • ʻO Florin Abelès (1922-2005), physicist Palani
  • ʻO John H Abeles, he kanaka kālepa ʻAmelika
  • ʻO Kim Victoria Abeles, he mea pena kiʻi ʻAmelika
  • ʻO Michele Abeles, he mea pena kiʻi ʻAmelika
  • Peter Abeles (1924–1999), he kanaka kālepa ʻo Nūhōlani
  • Moshe Abeles, ka mea noiʻi lolo ʻIseraʻela
  • ʻO Norman Abeles, he psychologist ʻAmelika hānau ʻia ma Austrian
  • ʻO Ruth Abeles, ka haʻuki haʻuki 'Olumepika
  • ʻO Sigmund Abeles, ka mea pena kiʻi kiʻi ʻAmelika
ʻO Beniamina ʻAmelē:

ʻO Benjamin Abeles kahi physicist Austrian-Czech nona ka noiʻi ʻana i nā makahiki 1960 i ka US ma germanium-silicon alloys i alakaʻi ʻia i ka ʻenehana i hoʻohana ʻia i ka mana ākea e like me ka Voyager spacecraft . Ua ulu ʻo ia ma ʻAukekulia a me Czechoslovakia a hōʻea i UK ma 1939 ma kekahi o nā mikiona Kindertransport . Ua hoʻopau ʻo ia i kāna aʻo ʻana ma hope o ke kaua ma Czechoslovakia a me Israel, e loaʻa ana i ka doctorate i ka physics. Noho ʻo ia a hana ma ke ʻano he physicist noiʻi i ka US a haʻalele i 1995. ʻO kāna mea hanohano e komo pū me ka 1979 Stuart Ballantine Medal a me kāna hoʻokomo ʻana i ka New Jersey Inventors Hall of Fame (1991).

ʻO Peter Abeles:

ʻO Sir Peter Emil Herbert Abeles , AC he magnate hoʻokele Australia. ʻO kahi mea mahuka mai Hungary, ua lilo ʻo ia i mea kālepa ma Australia, a ua naita i ka makahiki 1972.

Ka hana hoʻoili-matrix (optika):

ʻO ke ʻano hoʻoili-matrix kahi hana i hoʻohana ʻia i nā optics a me nā acoustics e kālailai i ka hoʻolaha ʻana o nā hawewe electromagnetic a i ʻole nā ​​acoustic nalu ma o ka medium stratified. ʻO kēia kahi laʻana e pili ana no ka hoʻolālā ʻana i nā pale anti-reflective a me nā aniani dielectric.

Abalessa:

He kaona ʻo Abalessa a me ke kaona ma ka moku ʻo Tamanrasset, ma ka hema ʻo Algeria, kahi hui pū me ka ʻāpana o ka inoa like. Wahi a ka helu kanaka o 2008 he 9,163 ka heluna kānaka mai 6,484 i ka makahiki 1998, me ka 3.6% o ka ulu ulu makahiki. Aia ʻo Abalessa ma ke ala ʻoihana Trans-Saharan kahiko, 80 mau kilomita (50 mi) komohana o ke kūlanakauhale ʻo Tamanrasset, ke kapikala o ka panalāʻau. ʻO ka leka uila o ke kaona ʻo 11120.

Abalessa:

He kaona ʻo Abalessa a me ke kaona ma ka moku ʻo Tamanrasset, ma ka hema ʻo Algeria, kahi hui pū me ka ʻāpana o ka inoa like. Wahi a ka helu kanaka o 2008 he 9,163 ka heluna kānaka mai 6,484 i ka makahiki 1998, me ka 3.6% o ka ulu ulu makahiki. Aia ʻo Abalessa ma ke ala ʻoihana Trans-Saharan kahiko, 80 mau kilomita (50 mi) komohana o ke kūlanakauhale ʻo Tamanrasset, ke kapikala o ka panalāʻau. ʻO ka leka uila o ke kaona ʻo 11120.

ʻO Johann Philipp Abelin:

ʻO Johann Philipp Abelin ka mea kākau moʻolelo Kelemania nona ka ʻoihana i kāwili ʻia i nā kenekulia 16 a me 17. Ua hānau ʻia paha ia ma Strasbourg, a make ma laila ma waena o 1634 a me 1637. Ua kākau ʻo ia i nā moʻolelo he nui ma lalo o nā pseudonyms o Abeleus , ʻo Philipp Arlanibäus , ʻo Johann Ludwig Gottfried lāua ʻo Gotofredus .

Oxytrigona tataira:

ʻO Oxytrigona tataira , ʻike ʻia ʻo ka tataíra a i ʻole abelha-de-fogo , kahi ʻano o ka bee stingless eusocial ma ka ʻohana Apidae a me ka ʻohana Meliponini.

ʻO Abelhaleem Hasan Abdelraziq Ashqar:

ʻO Abelhaleem Hasan Abdelraziq Ashqar kahi mea hoʻouluulu Muslim Palestinian ka mea, i kahi manawa pōkole, he polofesa kōkua o ka ʻoihana ma ke Kulanui ʻo Howard. Ua hoʻopaʻi ʻia ʻo ia no ka hoʻowahāwahā a me ka ālai ʻana i ka pono no ka hōʻole ʻana e hōʻike i mua o ke kiure nui i ka hoʻokolokolo e pili ana i ka loaʻa kālā o Hamas e nā mea hāʻawi kālā i ʻAmelika Hui Pū ʻIa, a ua hoʻopaʻi ʻia i Nowemapa 2007 a i ka 135 mau hale paʻahao.

ʻO Abelhaleem Hasan Abdelraziq Ashqar:

ʻO Abelhaleem Hasan Abdelraziq Ashqar kahi mea hoʻouluulu Muslim Palestinian ka mea, i kahi manawa pōkole, he polofesa kōkua o ka ʻoihana ma ke Kulanui ʻo Howard. Ua hoʻopaʻi ʻia ʻo ia no ka hoʻowahāwahā a me ka ālai ʻana i ka pono no ka hōʻole ʻana e hōʻike i mua o ke kiure nui i ka hoʻokolokolo e pili ana i ka loaʻa kālā o Hamas e nā mea hāʻawi kālā i ʻAmelika Hui Pū ʻIa, a ua hoʻopaʻi ʻia i Nowemapa 2007 a i ka 135 mau hale paʻahao.

ʻAbelaheira:

He kauhale ʻo Abelheira ma ke kaona ʻo Lourinhã o Pokukala.

Parish ʻo Ābeļi:

ʻO Ābeļi Parish kahi keʻena hoʻomalu o Jēkabpils kulanakauhale, Lakina.

Parish ʻo Ābeļi:

ʻO Ābeļi Parish kahi keʻena hoʻomalu o Jēkabpils kulanakauhale, Lakina.

Abelia:

ʻO Abelia kahi ʻano i ʻike ʻia ma kahi o 30 mau ʻano a me nā hybrids, hoʻonoho ʻia i loko o ka ʻohana honeysuckle, Caprifoliaceae. Ua hōʻike ʻia nā haʻawina filogenetic molecular i ka genus ʻaʻole monophyletic, a i ka makahiki 2013, ua noi ʻo Maarten Christenhusz i ka hoʻohui o Abelia i Linnaea , me kekahi moʻokūʻauhau ʻē aʻe. Ua hānai ʻia ʻo Abelia ʻāpana Zabelia i ka genus Zabelia .

Abelia (hui):

He hui ʻoihana ʻo Abelia ma Norewai, i hoʻonohonoho ʻia ma lalo o ka Confederation aupuni o Norewai Enterprise.

Abelia (hui):

He hui ʻoihana ʻo Abelia ma Norewai, i hoʻonohonoho ʻia ma lalo o ka Confederation aupuni o Norewai Enterprise.

Linnaea chinensis:

ʻO Linnaea chinensis , synonyms ʻo Abelia chinensis lāua ʻo Abelia rupestris , kahi ʻano ulu o nā pua pua i ka ʻohana honeysuckle Caprifoliaceae. Ua wehewehe ʻia e Robert Brown i ka 1818, a ua hoʻohuli ʻia i ka genus Linnaea ma 1872, ʻoiai ʻaʻole i ʻae ʻia kēia neʻe a hiki i ka makahiki 2013. Noho ka mea kanu ma Kina, Taiwan a me Iapana. He kumulāʻau deciduous kūiki ia me nā kumu ʻulaʻula a me nā aniani, nā lau liʻiliʻi i lilo i ʻulaʻula-ʻeleʻele ma mua o ka hāʻule. ʻO ia kekahi o nā lāʻano pale anuanu i waena o ka genus.

Linnaea chinensis:

ʻO Linnaea chinensis , synonyms ʻo Abelia chinensis lāua ʻo Abelia rupestris , kahi ʻano ulu o nā pua pua i ka ʻohana honeysuckle Caprifoliaceae. Ua wehewehe ʻia e Robert Brown i ka 1818, a ua hoʻohuli ʻia i ka genus Linnaea ma 1872, ʻoiai ʻaʻole i ʻae ʻia kēia neʻe a hiki i ka makahiki 2013. Noho ka mea kanu ma Kina, Taiwan a me Iapana. He kumulāʻau deciduous kūiki ia me nā kumu ʻulaʻula a me nā aniani, nā lau liʻiliʻi i lilo i ʻulaʻula-ʻeleʻele ma mua o ka hāʻule. ʻO ia kekahi o nā lāʻano pale anuanu i waena o ka genus.

Linnaea chinensis:

ʻO Linnaea chinensis , synonyms ʻo Abelia chinensis lāua ʻo Abelia rupestris , kahi ʻano ulu o nā pua pua i ka ʻohana honeysuckle Caprifoliaceae. Ua wehewehe ʻia e Robert Brown i ka 1818, a ua hoʻohuli ʻia i ka genus Linnaea ma 1872, ʻoiai ʻaʻole i ʻae ʻia kēia neʻe a hiki i ka makahiki 2013. Noho ka mea kanu ma Kina, Taiwan a me Iapana. He kumulāʻau deciduous kūiki ia me nā kumu ʻulaʻula a me nā aniani, nā lau liʻiliʻi i lilo i ʻulaʻula-ʻeleʻele ma mua o ka hāʻule. ʻO ia kekahi o nā lāʻano pale anuanu i waena o ka genus.

Halepule Abelia:

ʻO ka hale pule ʻo Abelia o ka Trinity kahi hale pule Orthodox ʻo Georgian kenekulia 13, aia ma ka moku ʻo Tetri Tsqaro ma ke komohana hema o Kvemo Kartli. ʻO kahi hoʻolālā kū hoʻokahi-maʻalahi, aia ia ma ka palena o ke kauhale o kēia lā ʻo Abeliani, i kapa ʻia ʻo Abelia ʻO kahi kuhikuhi i ka diarchy ma Georgia ma lalo o ke kānāwai Mongol i kahi palapala ma ka paia hema o ka halepule e hiki ai i kēia lā ke kūkulu ʻia i ka wā o 1250-1259. Ua kākau ʻia ka hale pule ma ka papa inoa o nā Immovable Cultural Monuments o National Significance o Georgia.

ʻO Zabelia corymbosa:

ʻO Zabelia corymbosa kahi ʻano pua kanu i ka ʻohana honeysuckle, Caprifoliaceae. He kamaʻāina ia ma Central Asia, kahi i kū ai i Kazakhstan, Kyrgyzstan, a me Tajikistan.

Linnaea spathulata:

ʻO Linnaea spathulata , synonym ʻO Abelia spathulata , he ʻano lino a Linnaea i loko o ka ʻohana honeysuckle (Caprifoliaceae). Hoʻopau kēia mea kanu iā Kōlea a me Iāpana.

Linnaea floribunda:

ʻO Linnaea floribunda kahi ʻano mea kanu pua i loko o ka ʻohana honeysuckle, Caprifoliaceae, ma Mexico. Ke ulu nei a 4 m (13 ft) ke kiʻekiʻe a ākea, kahi ulu semi-evergreen a ʻōmaʻomaʻo mau loa hoʻi me nā lau ovate ʻōlinolino a me nā pūpū o nā pua cerise tubular i 5 cm (2.0 in) ka lōʻihi. ʻOiai paʻakikī i lalo i -10 ° C (14 ° F) makemake ia i kahi wahi pale, no ka mea kū i ka paia pōhaku ʻaoʻao hema.

Linnaea × grandiflora:

ʻO Linnaea × grandiflora , synonym Abelia × grandiflora , kahi ʻano hybrid o nā pua pua i ka ʻohana honeysuckle Caprifoliaceae, hānai ʻia e ka hybridising L. chinensis me L. uniflora .

Linnaea chinensis:

ʻO Linnaea chinensis , synonyms ʻo Abelia chinensis lāua ʻo Abelia rupestris , kahi ʻano ulu o nā pua pua i ka ʻohana honeysuckle Caprifoliaceae. Ua wehewehe ʻia e Robert Brown i ka 1818, a ua hoʻohuli ʻia i ka genus Linnaea ma 1872, ʻoiai ʻaʻole i ʻae ʻia kēia neʻe a hiki i ka makahiki 2013. Noho ka mea kanu ma Kina, Taiwan a me Iapana. He kumulāʻau deciduous kūiki ia me nā kumu ʻulaʻula a me nā aniani, nā lau liʻiliʻi i lilo i ʻulaʻula-ʻeleʻele ma mua o ka hāʻule. ʻO ia kekahi o nā lāʻano pale anuanu i waena o ka genus.

Linnaea floribunda:

ʻO Linnaea floribunda kahi ʻano mea kanu pua i loko o ka ʻohana honeysuckle, Caprifoliaceae, ma Mexico. Ke ulu nei a 4 m (13 ft) ke kiʻekiʻe a ākea, kahi ulu semi-evergreen a ʻōmaʻomaʻo mau loa hoʻi me nā lau ovate ʻōlinolino a me nā pūpū o nā pua cerise tubular i 5 cm (2.0 in) ka lōʻihi. ʻOiai paʻakikī i lalo i -10 ° C (14 ° F) makemake ia i kahi wahi pale, no ka mea kū i ka paia pōhaku ʻaoʻao hema.

Linnaea chinensis:

ʻO Linnaea chinensis , synonyms ʻo Abelia chinensis lāua ʻo Abelia rupestris , kahi ʻano ulu o nā pua pua i ka ʻohana honeysuckle Caprifoliaceae. Ua wehewehe ʻia e Robert Brown i ka 1818, a ua hoʻohuli ʻia i ka genus Linnaea ma 1872, ʻoiai ʻaʻole i ʻae ʻia kēia neʻe a hiki i ka makahiki 2013. Noho ka mea kanu ma Kina, Taiwan a me Iapana. He kumulāʻau deciduous kūiki ia me nā kumu ʻulaʻula a me nā aniani, nā lau liʻiliʻi i lilo i ʻulaʻula-ʻeleʻele ma mua o ka hāʻule. ʻO ia kekahi o nā lāʻano pale anuanu i waena o ka genus.

Linnaea spathulata:

ʻO Linnaea spathulata , synonym ʻO Abelia spathulata , he ʻano lino a Linnaea i loko o ka ʻohana honeysuckle (Caprifoliaceae). Hoʻopau kēia mea kanu iā Kōlea a me Iāpana.

Linnaea chinensis:

ʻO Linnaea chinensis , synonyms ʻo Abelia chinensis lāua ʻo Abelia rupestris , kahi ʻano ulu o nā pua pua i ka ʻohana honeysuckle Caprifoliaceae. Ua wehewehe ʻia e Robert Brown i ka 1818, a ua hoʻohuli ʻia i ka genus Linnaea ma 1872, ʻoiai ʻaʻole i ʻae ʻia kēia neʻe a hiki i ka makahiki 2013. Noho ka mea kanu ma Kina, Taiwan a me Iapana. He kumulāʻau deciduous kūiki ia me nā kumu ʻulaʻula a me nā aniani, nā lau liʻiliʻi i lilo i ʻulaʻula-ʻeleʻele ma mua o ka hāʻule. ʻO ia kekahi o nā lāʻano pale anuanu i waena o ka genus.

Linnaea parvifolia:

ʻO Linnaea parvifolia , synonym ʻo Abelia schumannii , kahi ʻano mea kanu pua i loko o ka ʻohana Caprifoliaceae, ma waena o Kina. He ulu semi-evergreen e ulu nei i 2 m (7 ft) kiʻekiʻe e 3 m (10 ft) ākea. Hana ʻia nā pua ʻalani a me nā calyces ʻulaʻula i ke kauwela a me ke kauwela.

Linnaea parvifolia:

ʻO Linnaea parvifolia , synonym ʻo Abelia schumannii , kahi ʻano mea kanu pua i loko o ka ʻohana Caprifoliaceae, ma waena o Kina. He ulu semi-evergreen e ulu nei i 2 m (7 ft) kiʻekiʻe e 3 m (10 ft) ākea. Hana ʻia nā pua ʻalani a me nā calyces ʻulaʻula i ke kauwela a me ke kauwela.

Zabelia tyaihyonii:

ʻO Zabelia tyaihyonii , synonym ʻo Abelia mosanensis , i ʻike ʻia ma ke ʻano he abelia ʻaʻala , kahi ʻano ulu lāʻau deciduous i loko o ka ʻohana honeysuckle Caprifoliaceae. Ke ulu nei a 2 mika ke kiʻekiʻe a me ka laulā, ʻoi aku ka paʻakikī ma mua o ka nui o nā lāhui e pili ana, e ola ana nā mahana ma −20 ° C (-4 ° F). ʻO ka mohala o ka tubular i keʻokeʻo a keʻokeʻo a ʻala hoʻi, e ʻike ʻia i ka hopena o ka Spring. ʻO ka lau ʻōmaʻomaʻo ʻōmaʻomaʻo e ʻulaʻula i ka hāʻule ma mua o ka hāʻule.

Linnaea parvifolia:

ʻO Linnaea parvifolia , synonym ʻo Abelia schumannii , kahi ʻano mea kanu pua i loko o ka ʻohana Caprifoliaceae, ma waena o Kina. He ulu semi-evergreen e ulu nei i 2 m (7 ft) kiʻekiʻe e 3 m (10 ft) ākea. Hana ʻia nā pua ʻalani a me nā calyces ʻulaʻula i ke kauwela a me ke kauwela.

Linnaea parvifolia:

ʻO Linnaea parvifolia , synonym ʻo Abelia schumannii , kahi ʻano mea kanu pua i loko o ka ʻohana Caprifoliaceae, ma waena o Kina. He ulu semi-evergreen e ulu nei i 2 m (7 ft) kiʻekiʻe e 3 m (10 ft) ākea. Hana ʻia nā pua ʻalani a me nā calyces ʻulaʻula i ke kauwela a me ke kauwela.

Linnaea chinensis:

ʻO Linnaea chinensis , synonyms ʻo Abelia chinensis lāua ʻo Abelia rupestris , kahi ʻano ulu o nā pua pua i ka ʻohana honeysuckle Caprifoliaceae. Ua wehewehe ʻia e Robert Brown i ka 1818, a ua hoʻohuli ʻia i ka genus Linnaea ma 1872, ʻoiai ʻaʻole i ʻae ʻia kēia neʻe a hiki i ka makahiki 2013. Noho ka mea kanu ma Kina, Taiwan a me Iapana. He kumulāʻau deciduous kūiki ia me nā kumu ʻulaʻula a me nā aniani, nā lau liʻiliʻi i lilo i ʻulaʻula-ʻeleʻele ma mua o ka hāʻule. ʻO ia kekahi o nā lāʻano pale anuanu i waena o ka genus.

Linnaea spathulata:

ʻO Linnaea spathulata , synonym ʻO Abelia spathulata , he ʻano lino a Linnaea i loko o ka ʻohana honeysuckle (Caprifoliaceae). Hoʻopau kēia mea kanu iā Kōlea a me Iāpana.

Linnaea parvifolia:

ʻO Linnaea parvifolia , synonym ʻo Abelia schumannii , kahi ʻano mea kanu pua i loko o ka ʻohana Caprifoliaceae, ma waena o Kina. He ulu semi-evergreen e ulu nei i 2 m (7 ft) kiʻekiʻe e 3 m (10 ft) ākea. Hana ʻia nā pua ʻalani a me nā calyces ʻulaʻula i ke kauwela a me ke kauwela.

Linnaea parvifolia:

ʻO Linnaea parvifolia , synonym ʻo Abelia schumannii , kahi ʻano mea kanu pua i loko o ka ʻohana Caprifoliaceae, ma waena o Kina. He ulu semi-evergreen e ulu nei i 2 m (7 ft) kiʻekiʻe e 3 m (10 ft) ākea. Hana ʻia nā pua ʻalani a me nā calyces ʻulaʻula i ke kauwela a me ke kauwela.

Linnaea spathulata:

ʻO Linnaea spathulata , synonym ʻO Abelia spathulata , he ʻano lino a Linnaea i loko o ka ʻohana honeysuckle (Caprifoliaceae). Hoʻopau kēia mea kanu iā Kōlea a me Iāpana.

Linnaea floribunda:

ʻO Linnaea floribunda kahi ʻano mea kanu pua i loko o ka ʻohana honeysuckle, Caprifoliaceae, ma Mexico. Ke ulu nei a 4 m (13 ft) ke kiʻekiʻe a ākea, kahi ulu semi-evergreen a ʻōmaʻomaʻo mau loa hoʻi me nā lau ovate ʻōlinolino a me nā pūpū o nā pua cerise tubular i 5 cm (2.0 in) ka lōʻihi. ʻOiai paʻakikī i lalo i -10 ° C (14 ° F) makemake ia i kahi wahi pale, no ka mea kū i ka paia pōhaku ʻaoʻao hema.

Linnaea parvifolia:

ʻO Linnaea parvifolia , synonym ʻo Abelia schumannii , kahi ʻano mea kanu pua i loko o ka ʻohana Caprifoliaceae, ma waena o Kina. He ulu semi-evergreen e ulu nei i 2 m (7 ft) kiʻekiʻe e 3 m (10 ft) ākea. Hana ʻia nā pua ʻalani a me nā calyces ʻulaʻula i ke kauwela a me ke kauwela.

Zabelia tyaihyonii:

ʻO Zabelia tyaihyonii , synonym ʻo Abelia mosanensis , i ʻike ʻia ma ke ʻano he abelia ʻaʻala , kahi ʻano ulu lāʻau deciduous i loko o ka ʻohana honeysuckle Caprifoliaceae. Ke ulu nei a 2 mika ke kiʻekiʻe a me ka laulā, ʻoi aku ka paʻakikī ma mua o ka nui o nā lāhui e pili ana, e ola ana nā mahana ma −20 ° C (-4 ° F). ʻO ka mohala o ka tubular i keʻokeʻo a keʻokeʻo a ʻala hoʻi, e ʻike ʻia i ka hopena o ka Spring. ʻO ka lau ʻōmaʻomaʻo ʻōmaʻomaʻo e ʻulaʻula i ka hāʻule ma mua o ka hāʻule.

Linnaea parvifolia:

ʻO Linnaea parvifolia , synonym ʻo Abelia schumannii , kahi ʻano mea kanu pua i loko o ka ʻohana Caprifoliaceae, ma waena o Kina. He ulu semi-evergreen e ulu nei i 2 m (7 ft) kiʻekiʻe e 3 m (10 ft) ākea. Hana ʻia nā pua ʻalani a me nā calyces ʻulaʻula i ke kauwela a me ke kauwela.

Linnaea × grandiflora:

ʻO Linnaea × grandiflora , synonym Abelia × grandiflora , kahi ʻano hybrid o nā pua pua i ka ʻohana honeysuckle Caprifoliaceae, hānai ʻia e ka hybridising L. chinensis me L. uniflora .

Linnaea × grandiflora:

ʻO Linnaea × grandiflora , synonym Abelia × grandiflora , kahi ʻano hybrid o nā pua pua i ka ʻohana honeysuckle Caprifoliaceae, hānai ʻia e ka hybridising L. chinensis me L. uniflora .

Linnaea × grandiflora:

ʻO Linnaea × grandiflora , synonym Abelia × grandiflora , kahi ʻano hybrid o nā pua pua i ka ʻohana honeysuckle Caprifoliaceae, hānai ʻia e ka hybridising L. chinensis me L. uniflora .

ʻO Abambian:

E nānā paha ʻo Abelian i:

Nā moʻolelo no Abelian lāua ʻo Tauberian:

I ka makemakika, nā kumu mele ʻo Abelian a me Tauberian nā kumumanaʻo e hāʻawi ana i nā kūlana no ʻelua ʻano o ka hōʻuluʻulu ʻana i nā moʻo ʻelua e hāʻawi i ka hopena like, i kapa ʻia ma hope o Niels Henrik Abel a me Alfred Tauber. ʻO nā laʻana kumu hoʻohālikelike a ke kumu mele a ʻAbela e hōʻike ana inā hoʻololi kekahi moʻo i kekahi palena a laila ua like ka nui o kā ʻAbela huina, a ʻo Tauber's theemem e hōʻike ana inā aia ke koʻo o ka ʻāpana o Abel a ua liʻiliʻi ka nui o nā koina a laila hoʻololi ka moʻo i ka Abel. huina. Hāʻawi nā manaʻo nui ʻo Abelian a me Tauberian i nā hopena like no nā kiʻina hōʻuluʻulu manaʻo laulā.

ʻO Abambian:

E nānā paha ʻo Abelian i:

ʻO Abambian:

E nānā paha ʻo Abelian i:

ʻO Abelian 2-hui:

I ka makemakika, ʻo kahi hui ʻo Abianian 2 kahi hui nui dimensional ʻoi aku ka nui o ka hui Abianian, ma ke ʻano o ka algebra kiʻekiʻe, i hoʻolauna mua ʻia e Alexander Grothendieck ʻoiai e aʻo ana i nā hanana abstract e pili ana i nā ʻano like ʻole a me nā hui ʻo Picard. More concretely, hāʻawi ʻia lākou e nā groupoids i loaʻa i kahi bifunctor e hana formally e like me ka hoʻohui i kahi hui ʻo Abelian. ʻO ia hoʻi, ka bifunctor he manaʻo ko ka commutativity, ka launa pū, a me kahi ʻano ʻike. ʻOiai he ʻano kiʻekiʻe a kahakaha paha kēia, aia kekahi mau laʻana o nā hui 2-ʻo Abelian. I ka ʻoiaʻiʻo, hāʻawi kekahi o ia mau mea i nā prototypes no nā laʻana ʻoi aku ka paʻakikī o nā ʻoihana algebraic kiʻekiʻe, e like me nā hui n-Abelian.

Māhele ʻo ʻAmelian:

I ka makemakika, he mahele abelian kahi mahele kahi e hiki ai ke hoʻohui ʻia nā morphism a me nā mea a kahi e loaʻa ai nā kernel a me nā cokernels a loaʻa nā waiwai i makemake ʻia. ʻO ka laʻana prototypical kumu hoʻohālikelike o ka mahele abelian ka mahele o nā hui abelian, Ab . Ua hoʻokumu ʻia ke kumumanaʻo i ka hoʻāʻo e hoʻohui i kekahi mau manaʻo cohomology na Alexander Grothendieck a kū kaʻawale i nā hana mua a David Buchsbaum. ʻO nā mahele ʻo Abelian he mau paʻa paʻa loa; ʻo kahi laʻana maʻamau lākou a māʻona lākou i ka lemma nahesa. Ua pani ʻia ka papa o nā ʻāpana abelian ma lalo o kekahi o nā kūkulu kūkulu, no ka laʻana, ka mahele o nā kaulahao kaulahao o ka mahele abelian, a i ʻole ka mahele o nā funcors mai kahi mahele liʻiliʻi a i kahi ʻāpana abelian he abelian pū kekahi. Hana ʻole kēia mau waiwai paʻa iā lākou i ka algebra homological a ma ʻō aku; he noi nui ko ke kumumanaʻo i ka geometry algebraic, cohomology a me ke kumumanaʻo maʻemaʻe maʻemaʻe. Kapa ʻia nā mahele ʻo Abelian ma hope o Niels Henrik ʻAbela.

ʻOkoʻa o ka ʻano mua:

I ka makemakika, ka hoʻokaʻawale o ka ʻano mua kahi manawa kuʻuna i hoʻohana ʻia i loko o nā theories o Riemann surfaces a me nā algebraic curves, no nā wahi āpau - mau ʻano ʻokoʻa 1 mau ʻano. Hāʻawi ʻia i kahi manifold M paʻakikī, kahi ʻokoʻa o ke ʻano mua ω no laila mea like ia me kahi ʻano-1 ma nā wahi āpau a holomorphic; ma kahi ʻano algebraic V ʻo ka mea ʻole kū hoʻokahi kahi ʻāpana honua ia o ka pūʻā like Ω 1 o nā ʻano like ʻole o Kähler. I kēlā me kēia hihia ke kumu o ka wehewehe ʻana i ke kumumanaʻo o nā integral abelian.

Hoʻohui ʻia ʻo ʻAlapia:

I ka algebra abstract, ʻo ka extension abelian kahi extension Galois nona ka hui Galois he abelian. Ke cyclic ka hui Galois, ua kapa ʻia ka hoʻolōʻihi he hoʻolōʻihi cyclic . Ke hele nei i kahi ʻaoʻao ʻē aʻe, kāhea ʻia kahi extension Galois inā hiki ke hoʻonā ʻia kāna hui Galois, ʻo ia hoʻi, inā hiki ke hoʻopau ʻia ka hui i kahi papa o nā hoʻolōʻihi maʻamau o kahi hui abelian.

ʻAla ʻAbela:

I ka makemakika, ʻo ia hoʻi i ka geometry algebraic, ka hoʻopili paʻakikī ʻana a me ke kumumanaʻo helu algebraic, kahi ʻano abelian kahi ʻano algebraic projective a he pūʻulu algebraic hoʻi, ʻo ia hoʻi, he kānāwai hui e hiki ke wehewehe ʻia e nā hana maʻamau. Aia nā ʻano Abelian i ka manawa like ma waena o nā mea i aʻo nui ʻia i ka geometry algebraic a me nā pono hana nui no ka noiʻi nui ʻana i nā kumuhana ʻē aʻe i ka geometry algebraic a me ke kumumanaʻo helu.

Pūʻulu ʻo Abelian:

I ka makemakika, he hui abelian , i kapa ʻia he hui commutative , kahi hui kahi e pili ʻole ai ka hopena o ka hoʻopili ʻana i ka hana o ka hui i ʻelua mau hui i ka hoʻonohonoho a lākou i kākau ai. ʻO ia, commutative ka hana pūʻulu. Me ka hoʻohui ma ke ʻano he hana, nā helu helu a me nā helu maoli e hana i nā hui abelian, a me ka manaʻo o kahi hui abelian e ʻike ʻia ma ke ʻano he laulā o kēia mau laʻana. Ua kapa ʻia nā hui ʻo Abelian ma hope o ke kenekulia 19 ma mua o Niels Henrik Abel.

Nā hana Higgs:

I ke Ke Ana Hoʻohālikelike o ka physics partikel, pono ka mekanika Higgs e wehewehe i ka hanauna hanauna o ka waiwai "nui" no nā pahu anana. Me ka ʻole o ka mīkini Higgs, e manaʻo ʻia nā bosons āpau (ʻo kekahi o nā papa ʻelua o nā huna huna, a ʻo nā ʻāpana ʻē aʻe he nui ʻole) akā hōʻike ʻia nā ana he W + , W - , a me Z 0 bosons ka nui o nā nui o 80 GeV / c 2 . Hoʻoholo ka māla Higgs i kēia conundrum. Hoʻohui ka wehewehe maʻalahi o ka mīkini i kahi māla nui (ka māla Higgs) e hoʻopili i nā wahi āpau i ka Model Standard. Ma lalo o kahi mahana wela kiʻekiʻe, kumu ka māla i ka haʻihaʻi kūlohelohe i ka wā o ka launa ʻana. ʻO ka haki o ka symmetry e hoʻonāukiuki i ka mīkini Higgs, e hana ana i nā bosons e launa pū me ia e loaʻa ka nui. I ke Ke Ana Hoʻohālikelike, ʻo ka huaʻōlelo "Higgs ʻano hana" pili kikoʻī i ka hanauna o nā lehulehu no ka W ± , a me nā Z nā ana kaupaona nāwaliwali ma o ka haki ʻana o ka symmetry uila Ua hoʻolaha ʻo Large Hadron Collider ma CERN i nā hopena kūlike me ka paukū Higgs ma ka lā 14 Malaki 2013, e hana ana i ka māla, a i ʻole kekahi e like me ia, a e wehewehe ana i ka hana o ka hana Higgs ma ke ʻano.

Nā hana Higgs:

I ke Ke Ana Hoʻohālikelike o ka physics partikel, pono ka mekanika Higgs e wehewehe i ka hanauna hanauna o ka waiwai "nui" no nā pahu anana. Me ka ʻole o ka mīkini Higgs, e manaʻo ʻia nā bosons āpau (ʻo kekahi o nā papa ʻelua o nā huna huna, a ʻo nā ʻāpana ʻē aʻe he nui ʻole) akā hōʻike ʻia nā ana he W + , W - , a me Z 0 bosons ka nui o nā nui o 80 GeV / c 2 . Hoʻoholo ka māla Higgs i kēia conundrum. Hoʻohui ka wehewehe maʻalahi o ka mīkini i kahi māla nui (ka māla Higgs) e hoʻopili i nā wahi āpau i ka Model Standard. Ma lalo o kahi mahana wela kiʻekiʻe, kumu ka māla i ka haʻihaʻi kūlohelohe i ka wā o ka launa ʻana. ʻO ka haki o ka symmetry e hoʻonāukiuki i ka mīkini Higgs, e hana ana i nā bosons e launa pū me ia e loaʻa ka nui. I ke Ke Ana Hoʻohālikelike, ʻo ka huaʻōlelo "Higgs ʻano hana" pili kikoʻī i ka hanauna o nā lehulehu no ka W ± , a me nā Z nā ana kaupaona nāwaliwali ma o ka haki ʻana o ka symmetry uila Ua hoʻolaha ʻo Large Hadron Collider ma CERN i nā hopena kūlike me ka paukū Higgs ma ka lā 14 Malaki 2013, e hana ana i ka māla, a i ʻole kekahi e like me ia, a e wehewehe ana i ka hana o ka hana Higgs ma ke ʻano.

Hoʻohui ʻole ʻo Abelian:

I ka makemakika, he integral abelian , i kapa ʻia ma hope o ka makemakika Norewena Niels Henrik Abel, he mea hoʻohui i ka mokulele paʻakikī o ka palapala.

Wahaheʻe algebra:

I ka makemakika, ʻo kahi algebra wahahehe kahi v vector me kahi hana i kapa ʻia ʻo ka Lie bracket , kahi palapala ʻāina bilinear alternating , ka mea e māʻona ai ka ʻike ʻo Jacobi. Ka hakahaka vector me kēia hana he algebra pili ʻole, ʻo ia hoʻi ʻaʻole pili pono ka Lie bracket.

ʻO Abelian Lie hui:

I ke geometry, he pūʻulu Lie abelian kahi hui Lie kahi hui abelian.

ʻO Abela polynomial:

ʻO ka polynomial a ʻAbela i ka makemakika e hana i kahi kaʻina polynomial, ʻo ka n huaʻōlelo o kēia ʻano

Nā moʻolelo no Abelian lāua ʻo Tauberian:

I ka makemakika, nā kumu mele ʻo Abelian a me Tauberian nā kumumanaʻo e hāʻawi ana i nā kūlana no ʻelua ʻano o ka hōʻuluʻulu ʻana i nā moʻo ʻelua e hāʻawi i ka hopena like, i kapa ʻia ma hope o Niels Henrik Abel a me Alfred Tauber. ʻO nā laʻana kumu hoʻohālikelike a ke kumu mele a ʻAbela e hōʻike ana inā hoʻololi kekahi moʻo i kekahi palena a laila ua like ka nui o kā ʻAbela huina, a ʻo Tauber's theemem e hōʻike ana inā aia ke koʻo o ka ʻāpana o Abel a ua liʻiliʻi ka nui o nā koina a laila hoʻololi ka moʻo i ka Abel. huina. Hāʻawi nā manaʻo nui ʻo Abelian a me Tauberian i nā hopena like no nā kiʻina hōʻuluʻulu manaʻo laulā.

ʻAla ʻAbela:

I ka makemakika, ʻo ia hoʻi i ka geometry algebraic, ka hoʻopili paʻakikī ʻana a me ke kumumanaʻo helu algebraic, kahi ʻano abelian kahi ʻano algebraic projective a he pūʻulu algebraic hoʻi, ʻo ia hoʻi, he kānāwai hui e hiki ke wehewehe ʻia e nā hana maʻamau. Aia nā ʻano Abelian i ka manawa like ma waena o nā mea i aʻo nui ʻia i ka geometry algebraic a me nā pono hana nui no ka noiʻi nui ʻana i nā kumuhana ʻē aʻe i ka geometry algebraic a me ke kumumanaʻo helu.

Algebra pili:

I ka makemakika, he algebra pili ka hana algebraic me nā hana kūpono o ka hoʻohui, hoʻonui ʻana, a me ka hoʻonui scalar e nā mea i kekahi kahua. Hāʻawi pū ka hana hoʻohui a hoʻonui i kahi hanana o ke apo; Hāʻawi ka hoʻohui a me ka scalar multiplication hana i kahi hanana o kahi vector ma luna o K. Ma kēia ʻatikala e hoʻohana pū mākou i ka huaʻōlelo K -algebra e manaʻo i kahi algebra pili ma luna o ke kahua K. ʻO kahi laʻana mua maʻamau o kahi K -algebra he apo o nā moena huinahā ma luna o kahi kahua K , me ka hoʻonui pinepine ʻana o ka matris

Nā moʻolelo no Abelian lāua ʻo Tauberian:

I ka makemakika, nā kumu mele ʻo Abelian a me Tauberian nā kumumanaʻo e hāʻawi ana i nā kūlana no ʻelua ʻano o ka hōʻuluʻulu ʻana i nā moʻo ʻelua e hāʻawi i ka hopena like, i kapa ʻia ma hope o Niels Henrik Abel a me Alfred Tauber. ʻO nā laʻana kumu hoʻohālikelike a ke kumu mele a ʻAbela e hōʻike ana inā hoʻololi kekahi moʻo i kekahi palena a laila ua like ka nui o kā ʻAbela huina, a ʻo Tauber's theemem e hōʻike ana inā aia ke koʻo o ka ʻāpana o Abel a ua liʻiliʻi ka nui o nā koina a laila hoʻololi ka moʻo i ka Abel. huina. Hāʻawi nā manaʻo nui ʻo Abelian a me Tauberian i nā hopena like no nā kiʻina hōʻuluʻulu manaʻo laulā.

Nā moʻolelo no Abelian lāua ʻo Tauberian:

I ka makemakika, nā kumu mele ʻo Abelian a me Tauberian nā kumumanaʻo e hāʻawi ana i nā kūlana no ʻelua ʻano o ka hōʻuluʻulu ʻana i nā moʻo ʻelua e hāʻawi i ka hopena like, i kapa ʻia ma hope o Niels Henrik Abel a me Alfred Tauber. ʻO nā laʻana kumu hoʻohālikelike a ke kumu mele a ʻAbela e hōʻike ana inā hoʻololi kekahi moʻo i kekahi palena a laila ua like ka nui o kā ʻAbela huina, a ʻo Tauber's theemem e hōʻike ana inā aia ke koʻo o ka ʻāpana o Abel a ua liʻiliʻi ka nui o nā koina a laila hoʻololi ka moʻo i ka Abel. huina. Hāʻawi nā manaʻo nui ʻo Abelian a me Tauberian i nā hopena like no nā kiʻina hōʻuluʻulu manaʻo laulā.

Māhele ʻo ʻAmelian:

I ka makemakika, he mahele abelian kahi mahele kahi e hiki ai ke hoʻohui ʻia nā morphism a me nā mea a kahi e loaʻa ai nā kernel a me nā cokernels a loaʻa nā waiwai i makemake ʻia. ʻO ka laʻana prototypical kumu hoʻohālikelike o ka mahele abelian ka mahele o nā hui abelian, Ab . Ua hoʻokumu ʻia ke kumumanaʻo i ka hoʻāʻo e hoʻohui i kekahi mau manaʻo cohomology na Alexander Grothendieck a kū kaʻawale i nā hana mua a David Buchsbaum. ʻO nā mahele ʻo Abelian he mau paʻa paʻa loa; ʻo kahi laʻana maʻamau lākou a māʻona lākou i ka lemma nahesa. Ua pani ʻia ka papa o nā ʻāpana abelian ma lalo o kekahi o nā kūkulu kūkulu, no ka laʻana, ka mahele o nā kaulahao kaulahao o ka mahele abelian, a i ʻole ka mahele o nā funcors mai kahi mahele liʻiliʻi a i kahi ʻāpana abelian he abelian pū kekahi. Hana ʻole kēia mau waiwai paʻa iā lākou i ka algebra homological a ma ʻō aku; he noi nui ko ke kumumanaʻo i ka geometry algebraic, cohomology a me ke kumumanaʻo maʻemaʻe maʻemaʻe. Kapa ʻia nā mahele ʻo Abelian ma hope o Niels Henrik ʻAbela.

Māhele ʻo ʻAmelian:

I ka makemakika, he mahele abelian kahi mahele kahi e hiki ai ke hoʻohui ʻia nā morphism a me nā mea a kahi e loaʻa ai nā kernel a me nā cokernels a loaʻa nā waiwai i makemake ʻia. ʻO ka laʻana prototypical kumu hoʻohālikelike o ka mahele abelian ka mahele o nā hui abelian, Ab . Ua hoʻokumu ʻia ke kumumanaʻo i ka hoʻāʻo e hoʻohui i kekahi mau manaʻo cohomology na Alexander Grothendieck a kū kaʻawale i nā hana mua a David Buchsbaum. ʻO nā mahele ʻo Abelian he mau paʻa paʻa loa; ʻo kahi laʻana maʻamau lākou a māʻona lākou i ka lemma nahesa. Ua pani ʻia ka papa o nā ʻāpana abelian ma lalo o kekahi o nā kūkulu kūkulu, no ka laʻana, ka mahele o nā kaulahao kaulahao o ka mahele abelian, a i ʻole ka mahele o nā funcors mai kahi mahele liʻiliʻi a i kahi ʻāpana abelian he abelian pū kekahi. Hana ʻole kēia mau waiwai paʻa iā lākou i ka algebra homological a ma ʻō aku; he noi nui ko ke kumumanaʻo i ka geometry algebraic, cohomology a me ke kumumanaʻo maʻemaʻe maʻemaʻe. Kapa ʻia nā mahele ʻo Abelian ma hope o Niels Henrik ʻAbela.

Hana paʻakikī:

I ka ʻepekema lolouila, ka hana paʻakikī o ke aho, kahi palena palena ʻole a palena ʻole hoʻi o nā huapalapala mai kekahi pīʻāpā, ʻo ia ka hana e helu ai i nā helu ʻokoʻa mai kēlā aho. ʻO ka mea maʻamau, ka hana paʻakikī o kahi ʻōlelo, kahi hoʻonohonoho o nā huaʻōlelo palena ma luna o kahi pīʻāpā, helu i nā helu o nā huaʻōlelo ʻokoʻa o ka lōʻihi i hāʻawi ʻia.

Pūʻulu uhi:

I ka makemakika, he hui uhi o ka hui topological H kahi uhi G o H no ka mea ʻo G kahi hui topological a me ka palapala uhi uhi p : GH kahi homomorphism hui mau. Kapa ʻia ka palapala ʻāina p ka homomorphism uhi . ʻO kahi hihia pinepine he pūʻulu uhi pālua , kahi uhi pāpālua topological kahi i loaʻa ai ka helu 2 iā H ma G ; ʻo nā laʻana me nā pūʻulu wili, nā hui pine, a me nā hui metaplectic.

ʻOkoʻa o ka ʻano mua:

I ka makemakika, ka hoʻokaʻawale o ka ʻano mua kahi manawa kuʻuna i hoʻohana ʻia i loko o nā theories o Riemann surfaces a me nā algebraic curves, no nā wahi āpau - mau ʻano ʻokoʻa 1 mau ʻano. Hāʻawi ʻia i kahi manifold M paʻakikī, kahi ʻokoʻa o ke ʻano mua ω no laila mea like ia me kahi ʻano-1 ma nā wahi āpau a holomorphic; ma kahi ʻano algebraic V ʻo ka mea ʻole kū hoʻokahi kahi ʻāpana honua ia o ka pūʻā like Ω 1 o nā ʻano like ʻole o Kähler. I kēlā me kēia hihia ke kumu o ka wehewehe ʻana i ke kumumanaʻo o nā integral abelian.

Hoʻohui ʻia ʻo ʻAlapia:

I ka algebra abstract, ʻo ka extension abelian kahi extension Galois nona ka hui Galois he abelian. Ke cyclic ka hui Galois, ua kapa ʻia ka hoʻolōʻihi he hoʻolōʻihi cyclic . Ke hele nei i kahi ʻaoʻao ʻē aʻe, kāhea ʻia kahi extension Galois inā hiki ke hoʻonā ʻia kāna hui Galois, ʻo ia hoʻi, inā hiki ke hoʻopau ʻia ka hui i kahi papa o nā hoʻolōʻihi maʻamau o kahi hui abelian.

Hoʻohui ʻia ʻo ʻAlapia:

I ka algebra abstract, ʻo ka extension abelian kahi extension Galois nona ka hui Galois he abelian. Ke cyclic ka hui Galois, ua kapa ʻia ka hoʻolōʻihi he hoʻolōʻihi cyclic . Ke hele nei i kahi ʻaoʻao ʻē aʻe, kāhea ʻia kahi extension Galois inā hiki ke hoʻonā ʻia kāna hui Galois, ʻo ia hoʻi, inā hiki ke hoʻopau ʻia ka hui i kahi papa o nā hoʻolōʻihi maʻamau o kahi hui abelian.

ʻAla ʻAbela:

I ka makemakika, ʻo ia hoʻi i ka geometry algebraic, ka hoʻopili paʻakikī ʻana a me ke kumumanaʻo helu algebraic, kahi ʻano abelian kahi ʻano algebraic projective a he pūʻulu algebraic hoʻi, ʻo ia hoʻi, he kānāwai hui e hiki ke wehewehe ʻia e nā hana maʻamau. Aia nā ʻano Abelian i ka manawa like ma waena o nā mea i aʻo nui ʻia i ka geometry algebraic a me nā pono hana nui no ka noiʻi nui ʻana i nā kumuhana ʻē aʻe i ka geometry algebraic a me ke kumumanaʻo helu.

Kumumanaʻo Gauge:

I ke kālaikūlohea, ʻo ke kumumanaʻo moʻokūʻauhau kahi ʻano o ke kumumanaʻo kahua kahi i loli ʻole ai ka Lagrangian ma lalo o nā loli kūloko mai kekahi mau pūʻulu Lie.

ʻ jokelelo hoʻomākeʻaka makemakika:

ʻO kahi hoʻomākeʻaka makemakika kahi ʻano hoʻomākeʻaka e hilinaʻi ana i nā ʻaoʻao o ka makemakika a i ʻole kahi stereotype o nā makemakika. No ka pun paha ka hoʻomākeʻaka, a mai ka manaʻo pālua paha o kahi huaʻōlelo makemakika, a i ʻole mai ke kuhi ʻole ʻana o ka mea lay i ka manaʻo makemakika. ʻO ka makemakika a me ka mea kākau ʻo John Allen Paulos i kāna puke Matematika a me Humor i wehewehe i kekahi mau ʻano i manaʻo ʻia ka makemakika, he hana maloʻo, a me nā hana hoʻomākeʻaka, he hana leʻaleʻa a me ka mahalo ʻole: ʻo nā ʻano ʻelua o ka "pāʻani ʻepekema"; loaʻa iā lāua ka "manaʻo kūlike, ka lauana, nā lula, ke ʻano"; a ʻelua he "economical and explicit".

Pūʻulu ʻo Abelian:

I ka makemakika, he hui abelian , i kapa ʻia he hui commutative , kahi hui kahi e pili ʻole ai ka hopena o ka hoʻopili ʻana i ka hana o ka hui i ʻelua mau hui i ka hoʻonohonoho a lākou i kākau ai. ʻO ia, commutative ka hana pūʻulu. Me ka hoʻohui ma ke ʻano he hana, nā helu helu a me nā helu maoli e hana i nā hui abelian, a me ka manaʻo o kahi hui abelian e ʻike ʻia ma ke ʻano he laulā o kēia mau laʻana. Ua kapa ʻia nā hui ʻo Abelian ma hope o ke kenekulia 19 ma mua o Niels Henrik Abel.

Pūʻulu ʻo Abelian:

I ka makemakika, he hui abelian , i kapa ʻia he hui commutative , kahi hui kahi e pili ʻole ai ka hopena o ka hoʻopili ʻana i ka hana o ka hui i ʻelua mau hui i ka hoʻonohonoho a lākou i kākau ai. ʻO ia, commutative ka hana pūʻulu. Me ka hoʻohui ma ke ʻano he hana, nā helu helu a me nā helu maoli e hana i nā hui abelian, a me ka manaʻo o kahi hui abelian e ʻike ʻia ma ke ʻano he laulā o kēia mau laʻana. Ua kapa ʻia nā hui ʻo Abelian ma hope o ke kenekulia 19 ma mua o Niels Henrik Abel.

Hoʻohui ʻole ʻo Abelian:

I ka makemakika, he integral abelian , i kapa ʻia ma hope o ka makemakika Norewena Niels Henrik Abel, he mea hoʻohui i ka mokulele paʻakikī o ka palapala.

Hoʻopili i ka hana no ka cohomology equivariant:

I ke ʻano geometry ʻokoʻa, ua ʻōlelo ka papa hana localization : no kahi ʻano kaulike kaulike equivariant ma ka orbifold M me kahi hana torus a no ka liʻiliʻi liʻiliʻi i ka Lie algebra o ka torus T ,

Moʻo Divergent:

I ka makemakika, ʻo ka divergent series kahi moʻo ʻole palena ʻole i hoʻohui ʻole ʻia, ʻo ia hoʻi ʻaʻole ka palena palena ʻole o ke kaʻina palena ʻole o nā ʻāpana hapa o ka moʻo.

Monoid:

I ka algebra abstract, kahi lālā o ka makemakika, kahi monoid i hoʻonohonoho ʻia me kahi hana binary hui a me kahi ʻike.

Manaʻo kahua papa:

I ka makemakika, ʻo ka papa kumumanaʻo papa ka lālā o ka helu kumumanaʻo algebraic e pili ana i ka hoʻonui ʻia o nā kahua helu abelian, nā māla honua o nā hiʻohiʻona maikaʻi, a me nā māla kūloko. Ua hoʻokumu ʻia ke kumumanaʻo i ka hōʻoia o ka pānaʻi quadratic na Gauss i ka hopena o ke kenekulia 18. Ua hoʻomohala ʻia kēia mau manaʻo i ke kenekulia e hiki mai ana, e ulu ana i kahi kuhi na Hilbert i hōʻike ʻia e Takagi lāua ʻo Artin. ʻO kēia mau kuhi a me kā lākou mau hōʻoia nā mea nui o ke kumumanaʻo papa papa.

Idempotent (kumumanaʻo apo):

I ke komo lima o kumumanaʻo ka idempotent hehee ai, ai wale ka idempotent, o ke komolima mea he hehee ai ka ia i ka 2 = ka. ʻO ia, idempotent ka mea ma lalo o ka multiplication o ke apo. Inductively laila, hiki i kekahi ke hoʻoholo i ka a = a 2 = a 3 = a 4 = ... = a n no kekahi huina helu maikaʻi n . ʻO kahi laʻana, he mea idempotent o kahi apo matrix ʻoi loa kahi matrix idempotent.

ʻO model model sandpile ʻo Abelian:

ʻO ke kele one Abela , a ʻike ʻia ʻo ke kuhi Bak – Tang – Wiesenfeld , ke kumu hoʻohālikelike mua loa o kahi ʻōnaehana dynamical e hōʻike ana i ka loiloi ponoʻī. Ua hoʻolauna ʻia e Per Bak, Chao Tang a me Kurt Wiesenfeld i kahi pepa 1987.

ʻO model model sandpile ʻo Abelian:

ʻO ke kele one Abela , a ʻike ʻia ʻo ke kuhi Bak – Tang – Wiesenfeld , ke kumu hoʻohālikelike mua loa o kahi ʻōnaehana dynamical e hōʻike ana i ka loiloi ponoʻī. Ua hoʻolauna ʻia e Per Bak, Chao Tang a me Kurt Wiesenfeld i kahi pepa 1987.

ʻAla ʻAbela:

I ka makemakika, ʻo ia hoʻi i ka geometry algebraic, ka hoʻopili paʻakikī ʻana a me ke kumumanaʻo helu algebraic, kahi ʻano abelian kahi ʻano algebraic projective a he pūʻulu algebraic hoʻi, ʻo ia hoʻi, he kānāwai hui e hiki ke wehewehe ʻia e nā hana maʻamau. Aia nā ʻano Abelian i ka manawa like ma waena o nā mea i aʻo nui ʻia i ka geometry algebraic a me nā pono hana nui no ka noiʻi nui ʻana i nā kumuhana ʻē aʻe i ka geometry algebraic a me ke kumumanaʻo helu.

Pūʻulu Pūnaewele:

I ka makemakika, ʻo kahi semigroup kahi ʻano algebraic e pili ana i kahi hoʻonohonoho me kahi hana binary pili.

Pūʻā o nā modula:

I ka makemakika, he pua ʻo O -modules a i ʻole he O -module ma luna o kahi i kani ʻia he pua F e like me ia, no kekahi ʻāpana wehe U o X , F ( U ) he O ( U ) -module a me nā palapala palena. F (U)F (V) e hana maʻalahi i ke kapu ai maps o (U)o (V): ka palena o fs o ke kapu o ka [illegible] manawa i ka mau no i kekahi [illegible] ma o (U) a mau i loko o F ( U ).

Pūʻulu ʻo Abelian:

I ka makemakika, he hui abelian , i kapa ʻia he hui commutative , kahi hui kahi e pili ʻole ai ka hopena o ka hoʻopili ʻana i ka hana o ka hui i ʻelua mau hui i ka hoʻonohonoho a lākou i kākau ai. ʻO ia, commutative ka hana pūʻulu. Me ka hoʻohui ma ke ʻano he hana, nā helu helu a me nā helu maoli e hana i nā hui abelian, a me ka manaʻo o kahi hui abelian e ʻike ʻia ma ke ʻano he laulā o kēia mau laʻana. Ua kapa ʻia nā hui ʻo Abelian ma hope o ke kenekulia 19 ma mua o Niels Henrik Abel.

ʻO kā Abela haʻi'ōlelo:

I ka makemakika, pili ka manaʻo a Abel no ka moʻo o ka mana i ka palena o ke kaʻina mana i ka huina o kāna mau coefficients. Ua kapa ʻia ia ma muli o ka makemakika Norewena Niels Henrik Abel.

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