81. Fairey Family Genealogy Forum FAIRY/farey/FAIREY Marlene 1/07/03 Fairey/Yeriaf Clockmakers,Jewellers London1800 s john Henry PRICE maybe FAIRY - Marlene 9/21/02 FAIREY FAMILY HUNTS http://genforum.genealogy.com/fairey/

DisplayAdBanner("Top,Right,Bottom!Top", 468, 60 , "boards/") Chat Daily Search My GenForum Community Standards ... Terms of Service Jump to Forum Home Surnames : Fairey Family Genealogy Forum This forum serves all obvious variations Fairey Family Genealogy Forum Search this forum: Find all of the words Find any of the words 77 Messages Posted Jump to # William Fairey / Fairy Riseley Beds and surounding areas Stephen fairy FAIREY, Fairy, Fery Fary Farey researchers take note Marlene Re: FAIREY, Fairy, Fery Fary Farey researchers take note Marlene Fairey Geneology Searchers Randall Fairey Re: Fairey Geneology Searchers Marlene FAIRY/FAREY/FAIREY Marlene Fairey/Yeriaf Clockmakers,Jewellers London 1800's Geoffrey Fairey Re: Fairey/Yeriaf Clockmakers,Jewellers London 1800's Marlene Faireys in 1841 census kurt gänzl Re: Faireys in 1841 census Marlene Re: Faireys in 1841 census Marlene Re: Faireys in 1841 census kurt gänzl Re: Faireys in 1841 census Marlene Re: Faireys in 1841 census Marlene Ella and Elizabeth MURRAY Hawera Taranaki Marlene John Henry PRICE maybe FAIRY Marlene FAIREY FAMILY HUNTS/BEDFORDSHIRE/ NORTHANTS Marlene Baptism Conington Hunts for FAIRY-PRICE Marlene Mary Ann FAIRY m Robert SWINTON 1845 Hunts England Marlene Fair, Fairly, Faires, Fairey of S C

82. Jazz On Compact Disc @ Crazy Jazz - Delmark Records 27315 BAY CITY JAZZ BAND EVERETT farey / john BOLAND / LLOYD BYASSEE / BOB NEIGHBOR/ JIM SNYDER / john COOPER / JACK KUNCL / MIKE WALBRIDGE / GRANA LOUIS http://www.crazyjazz.co.uk/labels/d/delmark.htm

Home Artists Help/FAQ /Ordering Labels Our Printed Catalogue Jazz on DVD Currency Conversion in June FRESH SOUND FRESH SOUND NEW TALENT Price reductions Brad Mehldau Anything Goes Limited Stoc ks Summer Sale Items Used Compact Discs The Crazy Jazz Label List Delmark R ecords IMPORTANT While we make every effort to ensure that the information contained on these pages is as current as possible record company catalogues often change suddenly and without warning. If you spot something that looks too good to be true please e-mail to check availability. All prices in British pounds. For information on ordering CDs listed here RECENT ADDITIONS CRAZY JAZZ REFERENCE ARTIST TITLE LABEL PRICE - NUMBER OF DISCS JOSH ABRAMS - JEFF PARKER / ALEX DÖRNER / GUILLERMO GREGORIO : CIPHER - (2002) : DELMARK : MUHAL RICHARD ABRAMS feat. ANTHONY BRAXTON / MAURICE McINTYRE / LEROY JENKINS / GORDON EMMANUEL / CHARLES CLARK / LEONARD JONES... : LEVELS AND DEGREES OF LIGHT - (1967) : DELMARK : MUHAL RICHARD ABRAMS - EDWIN DAUGHERTY / WALLACE McMILLAN / EMMANUEL CRANSHAW / STEVE McCALL / RUFUS REID / WILBUR CAMPBELL : THINGS TO COME FROM THOSE NOW GONE - (1972) : DELMARK : MUHAL RICHARD ABRAMS - LEO SMITH / HENRY THREADGILL / LESTER LASHLEY / THURMAN BARKER : YOUNG AT HEART / WISE IN TIME - (1969) : DELMARK : ACTIVE INGREDIENTS - CHAD TAYLOR / JEMEEL MOONDOC / STEVE SWELL / TOM ABBS + DAVID BOYKIN / AVREEAYL RA / ROB MAZUREK : TITRATION - (2002) : DELMARK : ERIC ALEXANDER SEXTET - HAROLD MABERN / JIM ROTONDI / STEVE DAVIS / JOHN WEBBER / GEORGE FIUDAS :

83. John Whitehurst And 18th Century Geology William Martin (17671810), a Derbyshire drawing master and palaeontologist,who published the first scientific accounts of fossils. • john farey (1766 http://www.search.revolutionaryplayers.org.uk/engine/resource/exhibition/standar

84. Cornell Math - Topology & Geometric Group Theory Seminar 1999-2000 spherical buildings. Tuesday, March 7, john Hubbard, Cornell UniversityOn the topology and homology of farey blowups. Tuesday, March http://www.math.cornell.edu/Colloquia/Topology/1999-00.html

List of Talks given in 1999-2000 Tuesday, September 7 Dani Wise , Cornell University Eventually injective endomorphisms Tuesday, September 14 Chris Hruska , Cornell University Ladders, towers and the B. B. Newman spelling theorem Tuesday, September 21 Andrzej Zuk , Cornell University On an isoperimetric inequality for infinite finitely generated groups Tuesday, September 28 John Meier , Cornell University Tame combings and variations on Cannon's almost convexity Tuesday, October 5 William Dunbar , Cornell University Orbit spaces of crystallographic groups Tuesday, October 19 Ed Swartz , Cornell University Finite linear quotients of spheres Tuesday, October 19 Edward Swartz , Cornell University Finite linear quotients of spheres Thursday, October 21 Martin Bridson , Oxford University The grammatical complexity of groups and manifolds Tuesday, October 26 Allen Hatcher , Cornell University 3-manifolds as tinkertoys Tuesday, November 2 Marshall Cohen , Cornell University Klyachko's theorem: car crashes and equations over groups Tuesday, November 9

85. The Scientific Letters Of Sir Joseph Banks Cavendish; William Curtis; Erasmus Darwin; Humphry Davy; James Dickson; Jonas Dryander;john Ellis; Thomas Falconer; Charles Greville; john farey; Sir William http://www.nhm.ac.uk/hosted_sites/banks/scientific_letters.htm

The scientific letters of Sir Joseph Banks are an unprecedented and continuous record of fifty years of technological and intellectual development. They provide a unique insight into the growth of science and discovery from the eighteenth to the early nineteenth century. As such the letters represent one of Banks’s great contributions in the field where he is perhaps best remembered. Sir Joseph Banks was a man of science and of letters. He circumnavigated the globe with Lieutenant James Cook on HMS Endeavour , 1768-1771, taking with him a team of naturalists, illustrators and assistants at a personal cost of £10,000. Together they made unprecedented collections of flora and fauna at many of the places HMS Endeavour visited. Banks also led the first British scientific expedition to Iceland in 1772. Later, he settled in London and assembled an enormous library and herbarium, both of which were housed at 32 Soho Square from 1777 onwards. His collections were remarkable for their size and especially for the unique material they contained from the Pacific. In 1778 Banks was elected President of the Royal Society, a position he held for over 41 years - the longest anyone has served in that capacity. As President he fostered enlightened relations between scientists across Europe throughout a period of conflict and turbulent change. He was a founder member of numerous important societies, many of which survive today, including the Linnean Society, 1788, the Royal Institution, 1799, and the Royal Horticultural Society, 1804. Banks was unofficial director of the Royal Gardens at Kew from 1773, which flourished under his control. Voyages of discovery were mounted with his help to explore new lands, to obtain and move plants from one part of the world to another and to further British interests abroad. He was also a privy councillor and an advisor to George III and successive governments.

86. TEST This sequence bears name of one of its inventors, john farey, and it\ s a quitefunny story, you can read more about it at http//www.cutthe-knot.com/blue http://www.nio.ntnu.no/neoboard/neoboard.php?action=read&msg_id=65

87. Tesi - Le Serie Di Farey Translate this page john farey era un geologo, non un matematico, ma il suo nome è legato ad un’osservazionematematica fatta in un giornale (pubblicato nel 1816), nel quale http://tesi.cab.unipd.it:8500/archive/00000107/

Le serie di Farey Giglio, Eulalia (203) Le serie di Farey , in . Testo completo disponibile come: PDF - Richiede Adobe Acrobat Reader o un altro viewer per file PDF. Abstract Parole chiave: Farey, Ford Soggetti: Area 01 - Scienze matematiche e informatiche MAT/03 Geometria Depositato il: 01 Aprile 2004

88. Patrick - Smith's Isle Of Man Commercial Directory 1883 joiner, Foxdale Teare Daniel, farmer, Slieuwhallin Teare Edward farmer, Carne-GriceTeare Edward, farmer, farey-braid Teare john, bootmaker, Glenrushen Teare http://www.isle-of-man.com/manxnotebook/fulltext/sm1883/pk.htm

Smith's Directory PATRICK, with FOXDALE and GLENMAYE. Patrick The living in a vicarage in the gift of the bishop, and held by the Rev. H. C, Davidson. There are also places of worship for Wesleyans and Primitive Methodists. The Foxdale mines in this parish afford employment to a considerable portion of the inhabitants ; the rest are chiefly employed in agricultural pursuits. Bates Rev. Thos. S., St. Paul's, Foxdale Bawden Capt. Edward, Foxdale Bawden John, agent, East Foxdale Bell Thos., agent, St. John's road Brew Caesar, blacksmith, Foxdale Bridson John, farmer, Kerroodhoo Bridson Thos., farmer, Lhea-kerroo Bridson Thos., grocer, Foxdale Buzzo Thos., postmaster, Foxdale Caiue Robert, farmer, Ballavar Caine Thos., farmer, Ballaspet Caine Thos., farmer, Barrane Cairns John, farmer, Ballamoor Caldwell John, farmer, Eary-cushlin Callin Wm., farmer, Ballacallin Callister Daniel, joiner, Glenmaye Callister John, joiner, Foxdale Callister Thos.' farmer, Slieauwhallin Callister Wm., farmer, Ballanass Callister Wm., farmer, Kerroodhoo

89. SS > NF Reviews > John Horton Conway john Horton Conway, Richard K. Guy. farey fractions, Ford circles, Euler s totientnumbers, decimal expansions, shuffling, Long primes, pythogorean fractions. http://www-users.cs.york.ac.uk/~susan/bib/nf/c/conway.htm

home NF reviews John Horton Conway Search Web for John Horton Conway Google search Alta Vista search Books On Numbers and Games Winning Ways for Your Mathematical Plays Volume 1 with Elwyn R. Berlekamp Richard K. Guy Winning Ways for Your Mathematical Plays Volume 2 with Elwyn R. Berlekamp Richard K. Guy The Book of Numbers with Richard K. Guy Other information Inventor of the Game of Life chained arrow notation for writing really big numbers Books : reviews Elwyn R. Berlekamp, John Horton Conway, Richard K. Guy. Winning Ways for Your Mathematical Plays Volume 1: games in general Elwyn R. Berlekamp, John Horton Conway, Richard K. Guy. Winning Ways for Your Mathematical Plays Volume 2: games in particular Review: Chapter 25 is devoted to the Game of Life. John Horton Conway, Richard K. Guy. The Book of Numbers . Copernicus / Springer. 1996 Review: This wonderful book is crammed with fascinating facts and properties about every kind of number. Many of the properties are given a geometric interpretation, so there are plenty of marvelous diagrams. Even if you've come across the material before, this geometric and diagrammatic approach may give you a new perspective on things - for example, I was particularly taken with the 'telegraph pole' representation of infinite ordinals in the last chapter. Many more weighty presentations tend to be short on diagrams. I think this is a pity: although 'proof by diagram' is rarely sound, and nearly always needs to be backed up by a symbolic proof, diagrams themselves can do much to help prime the intuition.

90. NSGGA Bulletin 58 Articles Publications. Ford, TD Torrens, HS 2001 **. A farey story the pioneergeologist john farey (17661826). Geology Today 17 March-April 2001 pp.59-68. http://www.esci.keele.ac.uk/nsgga/bulletin/bull058.html

Sunday 22 July 2001 - Styal Geological Trail Leader: Fred Owen (OUGS and Manchester Geol. Assoc.) Meet at 2.00pm in the main Styal Country Park car park, north of Wilmslow. For further information contact Jane Michael (MGA) 0161 366 0595. National Trust members are recommended to bring their membership card, especially if they want to visit the Mill in the morning. This meeting arranged by MGA. Leader: Graham Worton (Keeper of Geology at Dudley Museum) Meet at the Wren’s Nest Wardens Centre at 11.00am. Field fee: Members £2 non members £4 Sunday 30 September 2001 Brownend Quarry, Waterhouses Leader: Steve Alcock (reserve manager) Conservation Day, meet at Brown End Quarry at Waterhouses (SK090502) on the Leek to Ashbourne Road at 11.00am. Bring your old clothes and suitable tools to cut down small shrubs and remove brambles and weeds. Work will carry on until about 4.00pm, but you don't have to be there all day! Please come along to this conservation working party at the Staffs Wildlife Trust's only geological reserve, even if only for an hour or two - there is plenty of weeding to do! Bring some food and drink.

91. CEASR Research Staff Dalton, RT, (1999) ‘john farey’s Derbyshire Sheep Farming in Derbyshire inthe Early Nineteenth Century’, Derbyshire Miscellany, 15.4. pp.115120. http://www.derby.ac.uk/seas/ceasr/staff/detailstaff.asp?ID=88

92. [gr-qc/9612066] The Mixmaster Universe: A Chaotic Farey Tale 9612066. From Neil john Cornish view email Date Mon, 30 Dec 1996213624 GMT (440kb) The mixmaster universe A chaotic farey tale. http://arxiv.org/abs/gr-qc/9612066

General Relativity and Quantum Cosmology, abstract gr-qc/9612066 From: Neil John Cornish [ view email ] Date: Mon, 30 Dec 1996 21:36:24 GMT (440kb) The mixmaster universe: A chaotic Farey tale Authors: Neil Cornish (DAMTP Cambridge), Janna Levin (CfPA Berkeley) Comments: 45 pages, RevTeX, 19 Figures included, submitted to PRD Report-no: CfPA-96-TH-17 Subj-class: General Relativity and Quantum Cosmology; Chaotic Dynamics Journal-ref: Phys.Rev. D55 (1997) 7489-7510 Full-text: PostScript PDF , or Other formats References and citations for this submission: SLAC-SPIRES HEP (refers to , cited by , arXiv reformatted); CiteBase (autonomous citation navigation and analysis) Which authors of this paper are endorsers? Links to: arXiv gr-qc find abs

93. Burness Genealogy And Family History - Person Page 119 She was born on 28 December 1888 at St Giles, London, England. She marriedJohn farey on 16 September 1922 at Epsom, Surrey, England. http://www.burness.ca/p119.htm

Burness Genealogy and Family History One Name Study Person Page 119 Main Page Master Index Surname Index Branches of the Burness Family ... Next Page George Frederick Scaresbrook b. circa 1891, #11801 George Frederick Scaresbrook was born circa 1891. He married Alice Elsie Victoria Burness , daughter of Frederick John Burness and Harriet Eliza Pescodd , on 30 January 1921 in Hillingdon West, Middlesex, England. Lily Beatrice Aldwin b. circa 1911, #11802 Pop-up Pedigree Lily Beatrice Aldwin was the daughter of Robert Aldwin . She was born circa 1911. She married Samuel Walter Edward Burness , son of Frederick John Burness and Harriet Eliza Pescodd , on 26 December 1933 in Yiewsley, Middlesex, England. Appears on charts: Descendants of Thomas Burness Child of Lily Beatrice Aldwin and Samuel Walter Edward Burness Rita Burness (private) Rita Burness Pop-up Pedigree Rita Burness is the daughter of Samuel Walter Edward Burness and Lily Beatrice Aldwin Appears on charts: Descendants of Thomas Burness Albert Edward Burness b. 10 December 1883, d. 25 February 1947, #11804 Pop-up Pedigree Albert Edward Burness was the son of Frederick Burness and Mary Temple . He was born on 10 December 1883 in Wandsworth, Surrey, England. He married

94. John W. Minnie E. (Penninger) Tuckness, Jr. john Wesley Tuckness, Jr. Born December 19, 1870 County, Missouri.Mother Nancy Dodd Father john Wesley Tuckness. Married Minnie http://tuckness.com/henry/johnwesley/johnwesleytucknessjr.htm

John Wesley Tuckness, Jr. Born: December 19, 1870 in Dallas County, Missouri Died: June 05, 1950 at home, in Lamar, Barton County, Missouri Buried: Pleasant Hope Cemetery, Pleasant Hope, Polk County, Missouri Mother: Nancy Dodd Father: John Wesley Tuckness Married: Minnie E. Penninger January 11, 1892 in Bolivar, Polk County, Missouri Born: September 24, 1875 Died: April 09, 1951 in Lamar, Barton County, Missouri Buried: Pleasant Hope Cemetery, Pleasant Hope, Polk County, Missouri Mother: Father: Children: Ophelia Mae b. 1905 Polk County, Missouri m. Earl Dokes September 15, 1920 Bolivar, Polk County, Missouri d. June 22, 1926 1918 North Fremont, Springfield, Greene County, Missouri buried: Pleasant Hope Cemetery, Pleasant Hope, Polk County, Missouri Vera Salestra b. May 14, 1892 at home, Polk County, Missouri m. Thomas Calvin Morris December 29, 1909 Van, Polk County, Missouri d. June 16, 1958 Halfway, Polk County, Missouri buried: Pleasant Hope Cemetery, Pleasant Hope, Polk County, Missouri Sources and Additional Information: Mooney, Polk County, Missouri Census

95. John Wesley Tuckness john Wesley Tuckness. Born 1835 in Tennessee Died 1874 near Fort Scott, Kansas,shot by a bandit. Mother Sarah Sims Father Henry Tuckness. more on john Wesley. http://tuckness.com/henry/johnwesley/

John Wesley Tuckness Born: 1835 in Tennessee Died: 1874 near Fort Scott, Kansas, shot by a bandit Mother: Sarah Sims Father: Henry Tuckness Married: Martha Nancy Dodd Abt. 1858 in Polk County, Missouri (second marriage for Nancy) more information below Born: Abt. 1835 in Madison, Jefferson County, Indiana Died: September 02, 1877 in Dallas County, Missouri Buried: Mother: Nancy Agnes Banta Father: James W. Dodd Children: Richard Henry b. August 05, 1859 Missouri d. September 30, 1932 Springfield, Greene County, Missouri James Segal b. November 19, 1863 Missouri d. January 13, 1938 Mountain Grove, Wright County, Missouri Albert Andrew b. August 29, 1865 Dallas County, Missouri d. November 02, 1939 Jackson, Dallas County, Missouri Clara Jane b. March 03, 1869 Dallas County, Missouri d. March 03, 1892 Polk County, Missouri John Wesley, Jr. b. d. Sources and additional information: Dallas County, Missouri Census Loony Township, Polk County, Missouri more on John Wesley John Wesley Tuckness was a teamster and was delivering goods to Ft. Scott, Kansas in 1874 when he was shot by a bandit. One of the boys was with him. I don't remember which one right now, but I think it was Richard Henry. The bandit returned the wagon, John Wesley's body, and the boy back home before fleeing. John Wesley's wife, Nancy Dodd, died 02 September 1877 and the children were split up.

96. MONUMENTAL INSCRIPTIONS He was a big enough man among the gentleman farmers of Derbyshire for john Fareyto seek and quote his views in his general view of the agriculture and http://www.brassington.org/monument.htm

MONUMENTAL INSCRIPTIONS IN BRASSINGTON CHURCHYARD BRASSINGTON CHURCH MEMORIALS 1674 - RON SLACK, 1988, corrected SURNAME INDEX INSCRIPTIONS INTRODUCTION This is a record of the five hundred and one memorials in Brassington church and outside, in the churchyard. There is an index to the men, women and children commemorated or otherwise named on them. The memorials are numbered and the four numbers which end with an "A" indicate that this is a difficult churchyard - they were late discoveries among the long grass or shrubbery. There are other oddities in the numbering for the same reason . The inscriptions developed from the extreme brevity of initials and dates in the earliest to the direct, matter-of-fact statements characteristic of the eighteenth century -Isabella Toplis/ dyed Anno Doml 1707 I TT RT (number 393). The later inscriptions in that century give full dates and ages at death - Here lies/ the body/ of Thomas Flint/ who died Sep y 20 th SURNAME INDEX MEMORIAL INSCRIPTIONS RETURN TO MENU

97. Stoke Bruerne,Northamptonshire,England - Pafg46 - Generated By Personal Ancestra M, xi, john Wilkens was born on 17 Apr 1850 in Stoke Bruerne, Northants GeorgeFarey Parents was born about 1831 in Risley, Bedfordshire, England and was http://www.tech2u.com.au/~normtew/sbn/pafg46.htm

Families of the Parish of Stoke Bruerne Frederick Ayers [ Parents was born about Oct 1850 in Shutlanger, Northants, England and was christened on 21 Sep 1851 in Stoke Bruerne, Northants, England. He married Letitia Rober in Melbourne, Victoria, Australia. [Notes] Letitia Rober was born in , , Ireland. She married Frederick Ayers in Melbourne, Victoria, Australia. [Notes] George Warren [ Parents was born about 1829 in Blisworth, Northamptonshire, England and was christened on 20 Dec 1829 in Blisworth, Northamptonshire, England. He married Charlotte Dent on 25 May 1854 in Blisworth, Northamptonshire, England. [Notes] Charlotte Dent was born about 1830 in Blisworth, Northants, England. She married George Warren on 25 May 1854 in Blisworth, Northamptonshire, England. [Notes] They had the following children: F i Mary Elizabeth Warren was born about 1855. M ii Frederick Warren was born about 1860 and died on 26 Oct 1932. Ann Tite [ Parents was christened on 24 Mar 1811 in Stoke Bruerne, Northants, England. She was married was not married. [Notes] She had the following children: F i Caroline Tite was christened on 13 Oct 1833 in Stoke Bruerne, Northants, England. was buried on 15 Jan 1834 in Stoke Bruerne, Northants, England.

98. Greg Anton - Posters, T-Shirts, Pictures, Concert Tickets, Memorabilia, Photos Greg Anton, Rock posters, vintage tshirts, concert tickets, and rock concert memorabilia from the Fillmore East and West. Concert posters, rock http://www.wolfgangsvault.com/Catalog.aspx?PerformingArtistID=8832

99. Days Of Future Passed(2004-01-15) The summary for this Japanese page contains characters that cannot be correctly displayed in this language/character set. http://gabriel.tdiary.net/20040115.html

gabrielÆüµ­ Python Python : Farey ¿ôÎóÈǤΠPython °Ü¿¢ Farey ¿ôÎó(¥Õ¥¡¥ì¥¤¿ôÎó)ÈǤò Python ¤Ë°Ü¿¢¤·¤Þ¤·¤¿¡£ Scheme ¤Ï²òÆɤǤ­¤Ê¤¤¤Î¤Ç¡¢¤¦¤Þ¤¯°Ü¿¢¤Ç¤­¤º¡¢¾¯¤·ÉÔ¼«Á³¤ÊÅÀ¤¬¤¢¤ë¤Î¤¬¿´»Ä¤ê¤Ç¤¹¡£¤¿¤À¡¢Farey ¿ôÎó¤ÎÀ­¼Á¤Ï³è¤«¤»¤Æ¤¤¤ë¤È»×¤¤¤Þ¤¹¡£ itertools ¥â¥¸¥å¡¼¥ë¤òÀѶËŪ¤Ë»È¤¦¤È¡¢¥¸¥§¥Í¥ì¡¼¥¿¡¼¤ò¤è¤êÁ°Ì̤˲¡¤·½Ð¤¹¤³¤È¤¬¤Ç¤­¤Þ¤¹¡£ program Math ]Farey ¿ôÎó¤Î²òÀâ Àµ¤ÎÀ°¿ôN¤¬Í¿¤¨¤é¤ì¤Æ¤¤¤ë¤È¤­¡¢°Ê²¼¤Î¾ò·ï¤òËþ¤¿¤¹´ûÌóʬ¿ôp/q¤ò¡Ö¤¹¤Ù¤Æ¡×µá¤á¤ë¥¢¥ë¥´¥ê¥º¥à¤ò¼¨¤·¤Æ¤¯¤À¤µ¤¤¡£¾ò·ï¤Ï¡§ p, q¤ÏÀ°¿ô(p¤Ï0°Ê¾å¤Ç¡¢q¤Ï1°Ê¾åN°Ê²¼). gcd(p, q) = 1 (p¤Èq¤ÎºÇÂç¸øÌó¿ô¤Ï1). <= p/q ¤³¤ì¤òÂ礭¤µ¤Î½ç¤Ëʤ٤¿¤â¤Î¤ò Farey ¿ôÎó¤È¤¤¤¤¤Þ¤¹¡£Farey ¿ôÎó¤Ï¼¡¤ÎÀ­¼Á¤òËþ¤¿¤·¤Þ¤¹¡§ Farey ¿ôÎ󤫤éϢ³¤¹¤ë3¤Ä¤«¤é¤Ê¤ëÉôʬÎó a, b, c ¤òÁª¤Ö¡£ ... , a, b, c, ... (a ¤Îʬ»Ò + c ¤Îʬ»Ò)/(a ¤ÎʬÊì + c ¤ÎʬÊì) = (b ¤Îʬ»Ò)/(b ¤ÎʬÊì) N = 2 ¤Î¾ì¹ç¡¢Farey ¿ôÎó¤Ï 0/1, 1/2/, 1/1 ¤Ç¤¹¡£¼ÂºÝ¤Ë·×»»¤·¤Æ¤ß¤ë¤È¡¢0 + 1 = 1, 1 + 1 = 2 ¤Ç³Î¤«¤ËÀ®¤êΩ¤¤Æ¤¤¤Þ¤¹¡£¾å¤Î¥×¥í¥°¥é¥à¤Ç¤Ï¡¢a ¤È c ¤ò¼ê¤¬¤«¤ê¤Ë¤·¤Æ¡¢´Ö¤Ë¤¢¤ë b(mediant ¤È¤¤¤¦) ¤ò¹½À®¤·¤Æ¤¤¤Þ¤¹¡£Farey ¿ôÎó¤ò»È¤¤¿¤½¤Î¾¤Î²òË¡¤â¡¢¥¢¥¤¥Ç¥¢¤Ï´ðËÜŪ¤ËƱ¤¸¤À¤È»×¤¤¤Þ¤¹¡£ Farey ¿ôÎó¤Ë̾¤ò»Ä¤·¤Æ¤¤¤ë John Farey ¤µ¤ó¤Î·ÐÎò¤Ï¼¡¤Î¥Ú¡¼¥¸¤Ë¾Ü¤·¤¤¤Ç¤¹¡£ http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Farey.html

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