Gino Fano

Gino Fano
Born(1871-01-05)5 January 1871
Mantua, Italy
Died8 November 1952(1952-11-08) (aged 81)
Verona, Italy
NationalityItalian
Alma materUniversity of Turin[1]
Known forFano postulate
Fano plane
Fano fibration
Fano surface
Fano varieties
Scientific career
FieldsMathematics

Gino Fano (5 January 1871 – 8 November 1952) was an Italian mathematician, best known as the founder of finite geometry. He was born to a wealthy Jewish[2] family in Mantua, in Italy and died in Verona, also in Italy.

Fano made various contributions on projective and algebraic geometry. His work in the foundations of geometry predates the similar, but more popular, work of David Hilbert by about a decade.

He was the father of physicist Ugo Fano and electrical engineer Robert Fano and uncle to physicist and mathematician Giulio Racah.

Mathematical work

Fano was an early writer in the area of finite projective spaces. In his article[3] on proving the independence of his set of axioms for projective n-space,[4] among other things, he considered the consequences of having a fourth harmonic point be equal to its conjugate. This leads to a configuration of seven points and seven lines contained in a finite three-dimensional space with 15 points, 35 lines and 15 planes, in which each line contained only three points.[3]: 114 

All the planes in this space consist of seven points and seven lines and are now known as Fano planes:

Fano Plane (7 points and 7 lines)
Fano Plane (7 points and 7 lines)

Fano went on to describe finite projective spaces of arbitrary dimension and prime orders.

In 1907 Gino Fano contributed two articles to Part III of Klein's encyclopedia. The first (SS. 221–88) was a comparison of analytic geometry and synthetic geometry through their historic development in the 19th century. The second (SS. 282–388) was on continuous groups in geometry and group theory as a unifying principle in geometry.[5]

Notes

  1. ^ "Gino Fano". Mac Tutor.
  2. ^ Carroll, Maureen T.; Rykken, Elyn (2018). Geometry: The Line and the Circle. American Mathematical Society. p. 336. Gino Fano came from a wealthy Jewish family in Mantua, Italy.
  3. ^ a b Fano, G. (1892), "Sui postulati fondamentali della geometria proiettiva", Giornale di Matematiche, 30: 106–132
  4. ^ Collino, Conte & Verra 2013, p. 6
  5. ^ Fano, Gino (1907). "Kontinuierliche Geometrische Gruppen. Die Gruppentheorie als Geometrisches Einteilungsprinzip". Encyklopädie der Mathematischen Wissenschaften mit Einschluss ihrer Anwendungen. Vol. 3.1.1. pp. 289–388. doi:10.1007/978-3-663-16027-4_5. ISBN 978-3-663-15456-3.

References

Read other articles:

Stuyvesant Town—Peter Cooper Village

Koordinat: 40°43′54″N 73°58′40″W / 40.73167°N 73.97778°W / 40.73167; -73.97778 Stuyvesant Town dilihat dari First Avenue, menghadap hulu kota (utara-timur laut) (2006)Peter Cooper Village dilihat dari Stuyvesant Cove Park di Sungai East; FDR Drive di latar depan Stuyvesant Town (kanan dan kiri) dan Peter Cooper Village (atas dan kanan) dilihat dari udara di atas Sungai East menghadap barat laut (2012) Stuyvesant Town—Peter Cooper Village adalah sebuah pen...

 

Daftar klub Liga Utama Inggris

Berikut ini adalah daftar klub yang telah bermain di Liga Utama Inggris sejak dibentuk pada tahun 1992 hingga musim saat ini. Pada musim 2021–22, lima puluh tim telah bermain di Liga Premier. Empat puluh delapan berbasis di Inggris dan dua (Cardiff City dan Swansea City) berlokasi di Wales; mereka bermain di sistem liga sepak bola Inggris karena alasan praktis dan historis. Preston North End adalah satu-satunya mantan juara Divisi Pertama papan atas yang belum pernah bermain di Liga Premier...

 

Copparo

Copparo commune di Italia Tempat categoria:Articles mancats de coordenades Negara berdaulatItaliaRegion di ItaliaEmilia-RomagnaProvinsi di ItaliaProvinsi Ferrara NegaraItalia Ibu kotaCopparo PendudukTotal15.673  (2023 )GeografiLuas wilayah157,01 km² [convert: unit tak dikenal]Ketinggian7 m Berbatasan denganRiva del Po (en) Ferrara Tresignana (en) Jolanda di Savoia Informasi tambahanKode pos44034 Zona waktuUTC+1 UTC+2 Kode telepon0532 ID ISTAT038007 Kode kadaster ItaliaC980 Lain-lai...

Ma Bufang

Ma Bufangما بوفنگLetnan Jenderal Ma Bufang Duta Besar Republik Tiongkok untuk Arab Saudi PertamaMasa jabatanAgustus 1957 – Juni 1961PresidenChiang Kai-shek PendahuluTidak adaPenggantiBao JunjianGubernur QinghaiMasa jabatan5 Maret 1938 – September 1949 PendahuluMa LinPenggantiZhao Shoushan (Chao Shou-shan) Informasi pribadiLahir1903Linxia, Gansu, Dinasti QingMeninggal1975 – 1903; umur -73–-72 tahunArab SaudiKebangsaanHui, KashmirPartai politikKuomi...

 

Pantai Nglambor

Kesalahan pengutipan: Tag <ref> tidak sah; referensi tanpa nama harus memiliki isiBeberapa atau seluruh referensi dari artikel ini mungkin tidak dapat dipercaya kebenarannya. Bantulah dengan memberikan referensi yang lebih baik atau dengan memeriksa apakah referensi telah memenuhi syarat sebagai referensi tepercaya. Referensi yang tidak benar dapat dihapus sewaktu-waktu. Pantai NglamborSuasana sore hari di Pantai NglamborNegara IndonesiaProvinsiDaerah Istimewa YogyakartaKotaGunungk...

 

Core, San Diego

Neighborhood of San Diego, California, US Central portion of San Diego and neighborhood boundaries The Core district is a neighborhood of Downtown San Diego, California. The Core district is the central business district in Downtown San Diego. Geography Civic Center Square between A and Ash Streets This district is located in the center of the city; it is bordered to the north by Cortez Hill, to the northwest by Little Italy, to the south by the Horton District and Gaslamp Quarter, to the eas...

Tarvos (satelit)

Diagram ini menunjukkan orbit satelit iregular Saturnus. Di tengah, orbit Titan, sebuah satelit yang regular, ditandai dengan warna merah sebagai perbandingan. Tarvos (satelit) adalah satelit alami dari planet Saturnus. Saturnus memiliki 62 satelit, dengan 53 di antaranya telah dinamai dan hanya 13 di antaranya memiliki diameter lebih besar dari 50 kilometer. Referensi http://solarsystem.nasa.gov/planets/profile.cfm?Display=Sats&Object=Saturn Diarsipkan 2014-04-16 di Wayback Machine.

 

Francesco Arcangeli

Disambiguazione – Se stai cercando l'omonimo personaggio storico, assassino di Johann Joachim Winckelmann, vedi Francesco Arcangeli (XVIII secolo). Francesco Arcangeli Francesco Arcangeli (Bologna, 10 luglio 1915 – Bologna, 14 febbraio 1974) è stato uno storico dell'arte, poeta e critico letterario italiano, vincitore del Premio Feltrinelli per la Critica d'Arte nel 1968[1]. Indice 1 Biografia 1.1 Riconoscimenti 2 Pubblicazioni principali 3 Note 4 Bibliografia 5 Collegamenti est...

 

Antidote

Pour les articles homonymes, voir Antidote (homonymie). Cet article est une ébauche concernant la médecine. Vous pouvez partager vos connaissances en l’améliorant (comment ?) selon les recommandations des projets correspondants. Remède contre le MDPV Un antidote est une substance chimique ou un élément chimique pouvant guérir une personne ou un animal d'un poison ou d'une maladie (pouvant provoquer un empoisonnement, une maladie…). Le plus souvent, l'antidote consiste à neut...

Machiremisca decipiens

Machiremisca decipiens Klasifikasi ilmiah Kerajaan: Animalia Filum: Arthropoda Kelas: Insecta Ordo: Diptera Famili: Tipulidae Genus: Machiremisca Spesies: Machiremisca decipiens Machiremisca decipiens adalah spesies lalat yang tergolong famili Asilidae. Lalat ini juga merupakan bagian dari genus Machiremisca, ordo Diptera, kelas Insecta, filum Arthropoda, dan kingdom Animalia. Lalat ini mempunyai insting predator yang agresif dan makanannya utamanya adalah serangga lain. Referensi Bisby F.A....

 

Eli Peck Miller

American physician and hydrotherapist Eli Peck MillerBorn1828Died19 December 1912Occupation(s)Physician, writer Eli Peck Miller (1828 – 19 December 1912), best known as E. P. Miller was an American physician, hydrotherapist, vegetarian and natural hygiene advocate. Biography Miller was a 1862 graduate of the New York Hygeio-Therapeutic College and an 1864 graduate of Bellevue Hospital Medical College.[1][2] Early in his career Miller worked with hydrotherapist Russell Trall....

 

1956 State of the Union Address

Speech by US president Dwight D. Eisenhower This article relies largely or entirely on a single source. Relevant discussion may be found on the talk page. Please help improve this article by introducing citations to additional sources.Find sources: 1956 State of the Union Address – news · newspapers · books · scholar · JSTOR (September 2021) 1956 State of the Union AddressDateJanuary 5, 1956 (1956-01-05)Time12:00 p.m. EST[a]...

.300 Winchester Magnum

.300 Winchester Magnum .300 Winchester Magnum (tengah); .338 Winchester Magnum (kiri) dan .375 H&H Magnum (kanan). Tipe Rifle, Large game Negara asal  Amerika Serikat Sejarah produksi Perancang Winchester Repeating Arms Company Dirancang 1963 Spesifikasi .300 Winchester Magnum (dikenal juga dengan .300 Win Mag) adalah peluru buatan Winchester Repeating Arms Company dan merupakan bagian dari famili peluru Winchester Magnum. Peluru ini mengadopsi .375 H&H Magnum dengan p...

 

Louis Le Prince

Louis Le PrinceLahirLouis Aimé Augustin Le Prince(1841-08-28)28 Agustus 1841Metz, PrancisMenghilang16 September 1890 (pada umur 49 tahun)Dijon, PrancisStatusDinyatakan meninggalPekerjaanKimiawan, insinyur, penemu, pembuat filmSuami/istriElizabeth Le Prince-Whitley ​ ​(m. 1869⁠–⁠Kesalahan ekspresi: Operator < tak terduga)​ Untuk komposer, lihat Louis Le Prince (komposer). Louis Aimé Augustin Le Prince (28 Agustus 1841 – menghi...

 

Арест Иисуса Христа

Арест Иисуса и поцелуй Иуды. (Джотто, Капелла Скровеньи, 1304—1306) См. также: Арест Христа Арест Иису́са Христа́ — описанное в Евангелиях взятие под стражу Иисуса Христа отрядом «воинов и служителей от первосвященников и фарисеев» в Гефсиманском саду после его моления о �...

أتراك

هذه المقالة عن المجموعة العرقية الأتراك وليس عن من يحملون جنسية الجمهورية التركية أتراكTürkler (بالتركية) التعداد الكليالتعداد 70~83 مليون نسمةمناطق الوجود المميزةالبلد  القائمة ... تركياألمانياسورياالعراقبلغارياالولايات المتحدةفرنساالمملكة المتحدةهولنداالنمساأسترالي�...

 

乌克兰总理

 烏克蘭總理Прем'єр-міністр України烏克蘭國徽現任杰尼斯·什米加尔自2020年3月4日任命者烏克蘭總統任期總統任命首任維托爾德·福金设立1991年11月后继职位無网站www.kmu.gov.ua/control/en/（英文） 乌克兰 乌克兰政府与政治系列条目 宪法 政府 总统 弗拉基米尔·泽连斯基 總統辦公室 国家安全与国防事务委员会 总统代表（英语：Representatives of the President of Ukraine） 总...

 

Takoma Park

Questa voce o sezione sull'argomento centri abitati del Maryland non cita le fonti necessarie o quelle presenti sono insufficienti. Puoi migliorare questa voce aggiungendo citazioni da fonti attendibili secondo le linee guida sull'uso delle fonti. Takoma ParkcityTakoma Park – Veduta LocalizzazioneStato Stati Uniti Stato federato Maryland ConteaMontgomery AmministrazioneSindacoBruce Williams (D) TerritorioCoordinate38°58′48″N 77°00′08″W / 38.98°N 77....

Orang Austria

AustriansÖsterreicherBendera AustriaDaerah dengan populasi signifikan Austria 6,75 juta[1] Amerika Serikat684.184[2] Jerman345.620[3] Kanada197.990[4] Australia45.530[5]  Swiss40.300–65.090[6][7][8] Britania Raya21.600–25.000[7][8] Prancis20.000[8][9] Argentina17.000[7] Italia16.331[8] Afrika Selatan14.000[7]&#...

 

Aisha Braveboy

American politician and attorney Aisha BraveboyBraveboy in 2007Prince George's County State's AttorneyIncumbentAssumed office January 7, 2019Interim: December 3, 2018 – January 7, 2019Preceded byAngela AlsobrooksMember of the Maryland House of Delegatesfrom the 25th districtIn officeJanuary 10, 2007 – January 14, 2015Preceded byAnthony BrownSucceeded byAngela AngelDarryl Barnes Personal detailsBorn (1974-07-29) July 29, 1974 (age 49)Washington, D.C., U.S.Poli...