J. C. P. Miller

Jeffrey Charles Percy Miller (31 August 1906 – 24 April 1981) was an English mathematician and computing pioneer. He worked in number theory and on geometry, particularly polyhedra, where Miller's monster is a nickname of the great dirhombicosidodecahedron.

Early life and education

Miller was born at Isleworth, Middlesex (now West London), and educated at St Paul's School, London and Trinity College, Cambridge (BA 1928, MA 1931, PhD 1933).[1][2][3]

Career

He was an early member of the Computing Laboratory of the University of Cambridge.[4] He contributed in computation to the construction and documentation of mathematical tables,[5] and by the proposal of certain algorithms. Miller's recurrence algorithm is mentioned in the Handbook of Mathematical Functions.[6]

What Miller perceived was that in a second-order linear recurrence which has solutions sufficiently differentiated asymptotically, there is a solution that may be uniquely characterized by one initial value and a knowledge of its growth. This led to an algorithm for computing certain solutions of the equation which required only a scant knowledge of their pointwise values.[7]

In volume 2 of The Art of Computer Programming, Donald Knuth attributes to Miller a basic technique on formal power series, for recursive evaluation of coefficients of powers or more general functions.[8][a]

In the theory of stellation of polyhedra, he made some influential suggestions to H. S. M. Coxeter. These became known as Miller's rules. The 1938 book on the fifty-nine icosahedra resulted, written by Coxeter and Patrick du Val.[10] In the 1930s, Coxeter and Miller found 12 new uniform polyhedra, a step in the process of their complete classification in the 1950s.[11] Miller also made an early investigation into what is now known as the Rule 90 cellular automaton.[12]

Miller was a Fellow of the Royal Astronomical Society from 1929; his obituary in the Society's journal noted his early interest and work in astronomy – including papers on the effect of distribution of density on the period of pulsation in a star, and on the effect of opacity in the point-source stellar model – and observed that, "but for a serious illness that interrupted his university postgraduate years, there is little doubt that [he] would have continued to work in the field of astronomy and would have made notable contributions to it."[3]

Personal life

In 1934, Miller married Germaine Gough. They had three children (David, Alison and Jane). Germaine died in Cambridge in her 100th year in March 2010 and is buried at St Andrew's Church, Chesterton, Cambridge.[13]

Notes

  1. ^ Though often attributed to Miller, this result has been rediscovered several times, dating back to least as early as Euler's discovery in 1748.[9]

References

  1. ^ Mathematical Table Makers: Portraits, Paintings, Busts, Monuments, Bio-bibliographical Notes, Raymond Clare Archibald, Scripta Mathematica, 1948, p. 57
  2. ^ Scripta Mathematica: A Quarterly Journal devoted to the Philosophy, History, and Expository Treatment of Mathematics, collected volumes 11 and 12, Yeshiva College, New York, 1945, p. 238
  3. ^ a b Sadler, D. H. (June 1982). "Obituary – Miller, Jeffrey-Charles". Quarterly Journal of the Royal Astronomical Society. 23: 311–313. Bibcode:1982QJRAS..23..311S.
  4. ^ A brief informal history of the Computer Laboratory
  5. ^ A. Fletcher, J. C. P. Miller and L. Rosenhead, An index of mathematical tables; this work is mentioned in Diana H. Hook, Jeremy M. Norman, Michael R. Williams, Origins of Cyberspace: A Library on the History of Computing, Networking, and Telecommunications (2002), p. 362, as compiled in 1943, and remaining useful until the 1960s.
  6. ^ Milton Abramowitz, Irene A. Stegun, Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables (1965), p. xiii.
  7. ^ Wimp, Jet (1984). Computation with recurrence relations. Pitman. p. 162. ISBN 978-0273085089.
  8. ^ Knuth, Donald E. (1981). The Art of Computer Programming, Volume 2: Seminumerical Algorithms (2nd ed.). Addison Wesley. p. 507. ISBN 9780201038224.
  9. ^ Gould, H. W. (1974). "Coefficient Identities for Powers of Taylor and Dirichlet Series". The American Mathematical Monthly. 81 (1): 3–14. doi:10.2307/2318904. ISSN 0002-9890.
  10. ^ Stellation and facetting - a brief history
  11. ^ Peter R. Cromwell, Polyhedra: "One of the Most Charming Chapters of Geometry" (1999), p. 178.
  12. ^ Miller, J. C. P. (1970), "Periodic forests of stunted trees", Philosophical Transactions of the Royal Society of London, Series A, Mathematical and Physical Sciences, 266 (1172): 63–111, Bibcode:1970RSPTA.266...63M, doi:10.1098/rsta.1970.0003, JSTOR 73779, S2CID 123330469.
  13. ^ "Germaine MILLER Obituary". The Times. 8 April 2010 – via Legacy.

Further reading

Read other articles:

Een voorbeeld 19F NMR spectrum van een eenvoudige organische verbinding. Voor elke piek is ook de integraal aangegeven. 19F NMR van 1-broom-3,4,5-trifluorbenzeen. De uitvergroting laat het koppelingspatroon zien van het fluor-atoomop de 4-plaats met de andere fluor-atomen met de waterstofatomen op de 2- en de 6-plaats. Fluor-19 kernspinspectroscopie (fluor NMR of 19F NMR) is een analytische chemische techniek om fluorhoudende verbindingen op te sporen en te identificeren. In de Kernspinresona...

Pour les articles homonymes, voir 3e corps d'armée. 3e corps d'armée(ru) 3-й армейский корпус Logo porté par des véhicules du 3e corps pendant l'invasion russe de l'Ukraine. Création 2022 Pays Russie Allégeance Russie Branche  Armée de terre russe Type Corps d'armée Rôle Combat interarmes Fait partie de District militaire ouest Composée de 6e division de fusiliers motorisés72e brigade de fusiliers motorisés Garnison Moulino Guerres Gue...

هذه المقالة يتيمة إذ تصل إليها مقالات أخرى قليلة جدًا. فضلًا، ساعد بإضافة وصلة إليها في مقالات متعلقة بها. (يوليو 2019) سير  فرانك هاست   معلومات شخصية الميلاد 11 أبريل 1918  ماريكفيل  [لغات أخرى]‏  الوفاة 11 يونيو 2008 (90 سنة)   كانبرا  مواطنة أستراليا  الحياة ا

Município de ApucaranaApucarana Zentrum von Apucarana Apucarana (Brasilien) Apucarana Koordinaten 23° 33′ S, 51° 28′ W-23.550833333333-51.460833333333Koordinaten: 23° 33′ S, 51° 28′ W Lage des Munizips im Bundesstaat Paraná Symbole Wappen Flagge Gründung 28. Januar 1944(79 Jahre)Vorlage:Infobox Ort in Brasilien/Wartung Basisdaten Staat Brasilien Bundesstaat Paraná ISO 3166-2 BR-PR Höhe 988 m Klima tropisch, Cfa Fläche 558,4&#...

Wangsa Syailendra Masa Awal (Hindu) Yawadwipa Santanu sekitar 650 Dapunta Selendra sekitar 674 Hsi-mo 674—703 Sannaha 710—717 Sanjaya 717—760 Masa Peralihan (Buddha) Yawadwipa Rakai Panangkaran 760—775 Rakai Panunggalan 775—800 Rakai Warak 800—812 Rakai Garung 812—833 Pramodawardhani 833—856 Rakai Kayuwangi 856—880(?) Swarnadwipa Balaputradewa 833—850 Sri Udayaditya Warmadewa 960–988 Sri Cudamani Warmadewa 988–1008 Sri Mara-Wijayottunggawarman 1008–1017 S...

1960 film Day of the PainterPromotional art by Tom Jung[1]Directed byRobert P. DavisWritten byRobert P. DavisProduced byEzra Reuben Baker, Production supervised by Duard SlatteryStarringEzra Reuben BakerMusic byEddy Lawrence MansonDistributed byUnion Film Distributors, Inc.Release date September 1960 (1960-09) Running time15 minutesCountryUnited StatesLanguageEnglish Day of the Painter is a 1960 American short film directed by Robert P. Davis. It was filmed at Mamaroneck Har...

Wydział Fizyki i Informatyki StosowanejFaculty of Physics and Applied Computer Science Akademia Górniczo-Hutnicza w Krakowie Data założenia 1991 Państwo  Polska Województwo  małopolskie Adres ul. Reymonta 19, 30-059 Kraków Liczba pracowników• naukowych 175130 Liczba studentów 675 Dziekan prof. dr hab. inż. Bartłomiej Szafran Położenie na mapie KrakowaWydział Fizyki i Informatyki Stosowanej Położenie na mapie PolskiWydział Fizyki i Informatyki Stosowanej Poł...

Artikel ini bukan mengenai Internet Archive. arXivJenis situsSainsBahasaInggrisPemilikCornell UniversityPenciptaPaul GinspargSitus webarxiv.orgPeringkat Alexa▲ 8.715 (April 2014[update])[1]KomersialTidakDiluncurkan1991StatusAktifISSN2331-8422OCLC228652809 arXiv (diucapkan ar-kay-f (archive), karena X di sini berarti huruf Yunani Chi, χ) adalah tempat penyimpanan pracetak elektronik (biasa disebut cetakan elektronik) makalah ilmiah di bidang matematika, fisika, astronomi, il...

New York Presbyterian Church, a Korean megachurch in Queens New York Presbyterian Church is a Korean Presbyterian megachurch, located in Long Island City, New York, in the borough of Queens. The church is a Korean presbyterian church founded in 1970. The church affiliated with the Korean American Presbyterian Church in 1974, become member of the New York City Presbytery. In 1999[1] the church constructed its present building, designed by Greg Lynn. In 2010 the church celebrated its 40...

Finnish biathlete Kaisa MäkäräinenPersonal informationFull nameKaisa-Leena MäkäräinenNicknameKappaBorn (1983-01-11) 11 January 1983 (age 40)Ristijärvi, FinlandHeight1.71 m (5 ft 7 in)Websitekaisamakarainen.fiProfessional informationSportBiathlonClubKontiolahden UrheilijatSkisFischerRifleAnschützWorld Cup debut5 March 2005Retired14 March 2020Olympic GamesTeams3 (2010, 2014, 2018)Medals0World ChampionshipsTeams13 (2005, 2006, 2007, 2008, 2009, 2010, 20...

Cet article est une ébauche concernant une fontaine et les Côtes-d'Armor. Vous pouvez partager vos connaissances en l’améliorant (comment ?) selon les recommandations des projets correspondants. Fontaines dites du Coq, de la Vierge et des Sept Saints de BretagneLa fontaine du Coq en 2004.PrésentationType FontainePropriétaire actuel CommunePatrimonialité  Classé MH (1913)LocalisationPays  FranceRégion BretagneDépartement Côtes-d'ArmorCommune Bulat-PestivienAdres...

1997 American filmTravellerTheatrical release posterDirected byJack N. GreenWritten byJim McGlynnProduced byDavid BlockerMickey LiddellBill PaxtonBrian SwardstromStarring Bill Paxton Mark Wahlberg Julianna Margulies James Gammon Luke Askew CinematographyJack N. GreenEdited byMichael RuscioMusic byAndy PaleyProductioncompaniesBanner EntertainmentMDP WorldwideDistributed byOctober FilmsTraveler Production Company L.l.c.Release dates March 8, 1997 (1997-03-08) (SXSW)[1]...

Railway Station in West Bengal, India Ranaghat Junction Kolkata Suburban Railway junction stationRanaghat Junction railway stationGeneral informationLocationGNPC Road, Ranaghat, Nadia, West BengalIndiaCoordinates23°10′27″N 88°34′07″E / 23.174077°N 88.568598°E / 23.174077; 88.568598Elevation13 metres (43 ft)Owned byIndian RailwaysOperated byEastern RailwayLine(s)Sealdah–Ranaghat lineRanaghat–Lalgola lineRanaghat–Gede lineBangaon–Ranaghat line of...

Penyuntingan Artikel oleh pengguna baru atau anonim untuk saat ini tidak diizinkan.Lihat kebijakan pelindungan dan log pelindungan untuk informasi selengkapnya. Jika Anda tidak dapat menyunting Artikel ini dan Anda ingin melakukannya, Anda dapat memohon permintaan penyuntingan, diskusikan perubahan yang ingin dilakukan di halaman pembicaraan, memohon untuk melepaskan pelindungan, masuk, atau buatlah sebuah akun. Artikel ini membutuhkan rujukan tambahan agar kualitasnya dapat dipastikan. Mohon...

2007 live album by the DoorsLive in BostonLive album by the DoorsReleasedJuly 24, 2007RecordedApril 10, 1970VenueBoston Arena, MassachusettsGenreRockLength187:46Label Rhino Bright Midnight Archives ProducerBruce BotnickThe Doors chronology Live in Philadelphia '70(2005) Live in Boston(2007) Live in Pittsburgh 1970(2008) Professional ratingsReview scoresSourceRatingAllMusic[1] Live in Boston is a triple CD live album by American rock band the Doors released in 2007. It was reco...

This list is incomplete; you can help by adding missing items. (February 2011) Pounding tteok This is a list of varieties of tteok, traditional rice cakes in Korean cuisine. Steamed tteok Sirutteok (시루떡), steamed tteok Duteop tteok (두텁떡) - a variety of royal court tteok (궁중떡), is covered 3 layers - duteop powder [outside, made of black-line white bean (흰팥)], sweet rice [middle], and variety nuts and fruits [inside, including chestnut, date (jujube), pinenut, yuja, duteop...

Painting by Mattia Preti Judith and HolofernesArtistMattia PretiYearc. 1653-1656MediumOil on canvasDimensions186 cm × 143 cm (73 in × 56 in)LocationMuseo di Capodimonte, Naples Judith and Holofernes is an oil on canvas painting by Italian artist Mattia Preti, datable to around 1653–1656. It is held at the Museo di Capodimonte, in Naples.[1] History The canvas is mentioned for the first time in the last will of the Calabrian lawyer Domenico...

زاوية سيدي القرشي تقسيم إداري البلد المغرب  الجهة سوس ماسة الإقليم تارودانت الدائرة أولاد برحيل الجماعة القروية أولوز المشيخة أولوز السكان التعداد السكاني 87 نسمة (إحصاء 2004)   • عدد الأسر 20 معلومات أخرى التوقيت ت ع م±00:00 (توقيت قياسي)[1]،  وت ع م+01:00 (توقيت صيفي)[1&...

School district in Texas, United States Cypress-Fairbanks Independent School DistrictFormer district headquartersAddress11440 Matzke Road Cypress, Texas, 77429United StatesDistrict informationTypePublicGradesPre-K - 12EstablishedDecember 1939; 84 years ago (1939-12)NCES District ID4816110[1]Students and staffEnrollment114,881 (2020–2021)[1]Faculty7,659.35 (on an FTE basis)[1]Other informationWebsitewww.cfisd.net The Cypress-Fairbanks Independen...

ダートマス大学 ベイカー記念図書館大学設置/創立 1769年学校種別 私立設置者 The Trustees of Dartmouth College (ダートマス大学評議会)本部所在地 アメリカ合衆国ニューハンプシャー州ハノーバー町学生数 6,761学部 教養学部研究科 Guarini School of Graduate and Advanced Studiesガイゼル医科大学院タック経営学大学院セイヤー工科大学院ウェブサイト http://www.dartmouth.edu/テンプレートを表�...