21. Farey Series john farey was a somewhat versatile man who lived in the Napoleonicera. He was a surveyor who collected rocks and minerals and http://www.cut-the-knot.org/blue/FareyHistory.shtml

CTK Exchange Front Page Movie shortcuts Personal info ... Recommend this site Farey Series, A Story Mathematical theorems often have descriptive names like Isoperimetric Inequality or the Law of Cosines . Others bear the name of their discoverer: Euler's Formula Abelian group , or Bertrand's Paradox . However, it is a recorded part of the mathematical folklore that many theorems are misnamed [ K. O. May If Theorem X bears the name of Y, then it was probably first stated by and/or proved by Z. For example, not all mathematicians are happy with the customary attribution of Venn Diagrams to John Venn. Wilson's theorem was not proven by Wilson (1741-1793) but by J.L.Lagrange in 1770 and Stirling's formula was discovered by Abraham de Moivre. So I was not at all surprised to read in Hardy's Apology (p 81-82) the following remark concerning J. Farey of the Farey Series fame: ... Farey is immortal because he failed to understand a theorem which Haros had proved perfectly fourteen years before ... In Hardy and Wright (p 36) there appears another note The history of 'Farey series' is very curious. Theorems 28 and 29 (

22. Posters - Vintage Posters, Concert Tickets, Rock Music Memorabilia Alphabet Soup. Alston, john. Altan. Alvin Youngblood Hart Band Fantastic Sensations. Fanucci, Jan. farey, john. Farina, Mimi. Farmer Boys http://rdre1.inktomi.com/click?u=http://www.wolfgangsvault.com/Catalog.aspx?Prod

23. Farey Sequence farey sequences are named after the British geologist john farey, whose letterabout these sequences was published in the Philosophical Magazine in 1816. http://www.fact-index.com/f/fa/farey_sequence.html

Main Page See live article Alphabetical index Farey sequence In mathematics , a Farey sequence of order n is the sequence of completely reduced fractions between and 1 which, when in their lowest terms, have denominators less than or equal to n , arranged in order of increasing size. Each Farey sequence starts with the value 0, denominated by the fraction 0/1, and ends with the value 1, denominated by the fraction 1/1 (although some authors omit these terms). A Farey sequence is sometimes called a Farey series , which is not strictly correct, because the terms are not summed. Table of contents 1 Examples 2 History 3 Properties 3.1 Sequence length ... 4 References Examples The Fary sequences of orders 1 to 8 are : F F F F F F F F History The history of 'Farey series' is very curious ... once again the man whose name was given to a mathematical relation was not the original discover so far as the records go. Beiler (1964) Chapter XVI Farey sequences are named after the British geologist John Farey, whose letter about these sequences was published in the Philosophical Magazine in . Farey conjectured that each term in a Farey sequence is the mediant of its neighbours - however, so far as is known, he did not prove this property. Farey's letter was read by

24. HLAS ROGUE: Peter Farey Symposium1” Ann C. As much as Peter farey has done to woo the reader toexamine the Marlovian case, you, john, have done an equal amount of damage http://www.groundling.com/hlas/profiles/pfarey.php

Peter Farey Peter Farey Biographical Details In his own words: I 'm 64 years old, and just retired from being a freelance adviser in management development, before which I had been head of management training for a then 'favourite' UK airline, and chief executive of the UK's Air Transport Industry Training Association. My love of Shakespeare came mainly from acting in his works, which I would still do if only my memory were good enough, but I fear it isn't. Now I give poetry readings , where the script is right there in front of me! Just before going off for military service , I was a founder-member of the National Youth Theatre Henry V in which Simon ('Young Winston') Ward played Katherine, and a youngster called Derek Jacobi had a walk-on part! I've had a vague interest in Marlowe from my schooldays, when I was in Marlowe House at a school founded by his leading actor, Edward Alleyn. Despite having apparently sent well over 1200 mainly Marlovian posts to HLAS over the past four years, however, I still resist being called *a* Marlovian, which implies to me a certainty on the authorship question which I do not claim to have. www2.prestel.co.uk/rey/

25. Farey Sequences farey sequences were discovered by a British geologist john farey (1766 to1826) who published a note in 1816 containing the result (*) above. http://www.gap-system.org/~john/analysis/Lectures/A4.html

MT2002 Analysis Previous page (Dedekind cuts) Contents Next page (Cardinal numbers) Farey sequences The set Q of rational numbers was proved countable in an earlier section . Here is a different way of seeing the same thing. Define the Farey sequence F n to be the ascending sequence of fractions in the interval [0, 1] whose denominators are n F F F F F One nice thing about these sequences is the way they can be made. To get the sequence F n from the sequence F n , take an adjacent pair of fractions h k and h k (say) and provided k k n , insert the mediant fraction h h k k ) between them. So, for example, to get F from F , insert between and and insert between and Some results about Farey sequences You will be able to verify these for the examples above, but will probably not be able to prove them. If h k and h k are successive fractions in a Farey sequence, then k h h k Given any three successive terms in a Farey sequence, the middle one is the mediant (see above) of the outer two. ( If h k and h k are successive fractions in the Farey sequence F n , then

26. ShutterCity.com Favorite List. Gallery of john farey Photographer s Profile Comments by photographer Comments for photographer . Show http://www.shuttercity.com/ShowGallery.cfm?AcctID=6148

27. Mcacadam Benjamin farey, Surveyor of the Whitechapel Road from 1810. john farey, mineralsurveyor and engineer (Benjamin farey s brother). James Walker, civil engineer. http://www2.umist.ac.uk/construction/intranet/teaching/ue365/mischtm/mcadam.htm

Title page Dedication Introduction Remarks on roads Commissioners and Officers Employed under them Care of the finances (comments on parish roads) Extract 'Report of the Commission of the House of Commons in 1811' Appendix Extracts from Observations on the Highways of the Kingdom, by JOHN LOUDON M'ADAM, presented to a Committee of the House of Commons, and printed by order of the House, 14th June 1811 (general principles of road making) Directions for Repair of an old Road, being the substance of a Communication made to a Committee of the Honourable House of Commons in 1811, and published with the Report by Order of the House, with additions and alterations, deduced from actual practice during the last three years. 1st February 1819. TO THE RIGHT HONOURABLE THE PRESIDENT AND THE BOARD OF AGRICULTURE (additions to the preceding directions on making and repairing roads, following a severe winter, particularly in January, 1820). REPORT FROM THE SELECT COMMITTEE ON THE HIGHWAYS OF THE KINGDOM: TOGETHER WITH THE MINUTES OF EVIDENCE TAKEN BEFORE THEM (in 1819). (selected) EVIDENCE FROM WITNESSES Charles Johnson , Surveyor and Superintendent of mail coaches under the Post Master General (on the general state of turnpike roads).

28. Farey Sequences They are named after a geologist, john farey, who described their generation in2. See 1 for details and the interesting connection to Pick s Theorem. http://math.usask.ca/~taylor/FareyArticle.html

Farey Sequences Warren J. Code and Keith F. Taylor University of Saskatchewan For a positive integer n , the Farey sequence of order n is the set F n p q p q n q written in increasing order. They are named after a geologist, John Farey, who described their generation in [2]. See [1] for details and the interesting connection to Pick's Theorem. We have developed a mathlet that displays the elements of a F n at their locations in the unit interval, where n is chosen by the user. At p q , a line segment of height 1/ q is drawn, for each p q in F n . This method of display illustrates the self-similar structure of the rational numbers in a compelling manner. The mathlet can be used as a teaching and exploration tool at many levels, from middle schoolchildren learning relative sizes of fractions to real analysis students studying the classical example of a function whose set of points of continuity consists of exactly the irrational numbers. Software Specifications: Open the Farey Sequence Mathlet References: [1] M. Bruckheimer and A. Arcavi, Farey series and Pick's area theorem

29. Classic-Rock.org, Site Francophone De Référence Sur Le Rock Des Années 60 Et Translate this page sont présent Peter Albin, Greg Anton, Antonia Cipollina, Mario Cipollina, ChrisCole, Terry Dolan, Spencer Dryden, Greg Elmore, john farey, Martine Fierro http://www.classic-rock.be/article.php3?id_article=473

30. List Of Bands That John Cipollina, San Franscisco Electric Guitar Player, Was A Zero (19841988) Hadi Al-Saadoon, Greg Anton, Banana, john farey, MartinFierro, john Kahn, Steve Kimock, Tony Saunders, Bobby Vega. http://www.johncipollina.com/band.html

Site Map During the quarter of a century John Cipollina performed with his stellar electric guitar, he appeared with dozens of bands. Along with an impressive list of guest appearances of some of the greatest names in the business, John was a key member of more bands than any known musician. There were many Saturday nights when John would play one set at one club with one band, and then jam off to a second venue; during one period in the eighties he was simultaneously a member of six bands. The following list details the members of the fourteen major bands in which John was a key player. Some of those musicians mentioned only played with the affiliated band a few times; some were there at every gig or recording session. Quicksilver Messenger Service Gary Duncan, Greg Elmore, David Freiberg, Nicky Hopkins, Jim Murray, Dino Valenti Copperhead Hutch Hutchinson, Jim McPherson, Gary Philippet, David Weber, Pete Sears Man Martin Ace, Mickey Jones, Deke Leonard, Terry Williams Bill Baron, Buddy Cage, Dave Carter, Steve Derr, Terry Dolan, Greg Douglass, Greg Elmore, David Hayes, Nicky Hopkins, Bones Jones, Andy Kirby, Jeff Meyers, Lonnie Turner Raven Greg Douglass, Nicky Hopkins, Hutch Hutchinson, Andy Kirby, Jim McPherson, Skip Olsen, David Weber

31. Manband Profiles - John Cipollina It was another allstar affair that included Martin Fierro on sax, Bobby Vega onbass, drummer Greg Anton, john farey on vocals and keyboards, and Steve Kimock http://www.manband-archive.com/evolution/prof-cipollina-john.php

You are here : www.manband-archive.com Evolution Manband Profiles - John Cipollina Celebrating the past, present and future of the legendary Welsh rock band MAN Manband Profiles - John Cipollina Home The Family Jungle The History Of Man Roots History ... Profiles Martin Ace John Cipollina Clive John George Jones Jeff Jones Micky Jones Deke Leonard Tweke Lewis Rick Martinez John McKenzie Malcolm Morley Bob Richards Phil Ryan Gareth Thorrington John Weathers Ken Whaley Ray Williams Terry Williams Will Youatt Guitars Born in Berkeley, California on August 24, 1943 The story of how Man and John Cipollina came to join forces in 1975 and 1976 is told in Deke Leonard's book 'Rhinos, Winos and Lunatics'. Ron Sanchez, who played a key role in making the connection, recalls his memories of the events in a Brain Patterns article. A profile of John is in the works. In the meantime, for more information please visit the John Cipollina web-site. BAY AREA BITS by J. C. Juanis Born as a twin (his sister Michael survives him) in Berkeley, CA on August 24, 1943, John had a chronic asthmatic condition so severe that he had to be held upright as an infant to fall asleep. His mother Evelyn, who also survives him, was a protege of famed concert pianist Jose Iturbi, who became godfather to John and his sister. As a child, John lived in San Salvador and Guatemala until the age of six when his family moved back to the Bay Area, settling in Mill Valley, CA. While other San Francisco groups at the time, namely the Grateful Dead, the JeffersonAirplane and Big Brother and the Holding Company, were all getting record deals and on the road touring, Quicksilver honed their sound. They became known primarily for long extended blues jams and developed quite a local following at The Fillmore Auditorium and Avalon Ballroom.

32. Mathenomicon.net : Reference : Farey Sequence the farey ``series . Etymology English john farey British civilengineer and mathematician (17661826). Bibliography. Hardy, G. H http://www.cenius.net/refer/display.php?ArticleID=fareysequence

33. Vintage T-Shirts, Rock Posters, Concert Tickets, Rock Memorabilia, Concert Photo Fanny. Fantastic Duo, The. Fantastic Sensations. Fanucci, Jan. Far. farey, john.Farina, Mimi. Farmer Boys. Farrar, Jay. Farrell, James. Farrell, Joe. Farrenheit. http://www.wolfgangsvault.com/AlphaList.aspx?Type=PerformingArtist&Char=F

34. Marlowe's Sudden And Fearful End Peter farey. INTRODUCTION. An astonishing accusation against Ben Jonson appearedin john Aubrey s Brief Lives, some time in the second half of the century. http://www2.prestel.co.uk/rey/sudden.htm

MARLOWE'S SUDDEN AND FEARFUL END: Self-Defence, Murder or Fake? Peter Farey INTRODUCTION On 11th July 2002, a little over four centuries since his untimely end, Christopher Marlowe was finally given some formal recognition as one of the finest poet-dramatists of his day by the dedication of a memorial window to him in Poets' Corner, Westminster Abbey. Some controversy over the event was stirred up, however, by the inclusion of a question mark against the year of his death, 1593. This essay - a revised and updated version of earlier ones - considers the facts surrounding his reported killing, and concludes that the addition of that question mark is fully justified. In particular we discover that the Coroner's report, the source of most people's understanding of how and when Marlowe died, is invalid. The Coroner of the Queen's Household, William Danby, had no authority to hold the inquest on his own, so the verdict it reached was legally null and void. A full explanation of this is given in my essay Was Marlowe's Inquest Void?

35. Top People In UK Industry [F] Ink Incorporated Fares, S Managing Director Printability farey, Kathleen ManagingDirector Krypton Clothing Ltd Fargreaves, john Managing Director http://www.applegate.co.uk/indexes/people/all-f.htm

Applegate Directory Ltd Last update: Thursday, May 27, 2004 Select from a section below All Industry Electronics IT for Industry Who Sells Who ... Stock-on-Line Promoting the best of Industry, Technology and Manufacturing in the UK and Ireland General Information Home Page About Applegate Add/Edit Information Add to Desktop ... FAQ News Applegate News Industry News Trade Shows Indexes Company Products Principals Town/City ... Top Products Sections All Industry Chemical, Oil and Gas Construction Electronics ... Z Top People Index - F Top People A B C ... Z Fab, Tom: Managing Director: Fab Food Patisserie Fabb, Mike: Director: WH Barrs and Son Ltd Faber, Bernard: Managing Director: Henry Stewart Publications Fabiani, Giobanni: Managing Director: Conti Fibre Fabray, Stephen: Managing Director: Pennyvale Ltd Fabretti, Gordon: Sales and Marketing Director: Ritchey Tagg Ltd Facer, Rob: Managing Director: Barnack UK Ltd Facer, Sheila: Marketing Manager: Petlife International Ltd Facey, Brian: Director: BPF Plastics Facey, C: Managing Director: Woods Dyke Boat Yard Facey, Mark: Managing Director: Mark Facey Facey, Stuart: Managing Director:

36. Farey Sequence :: Online Encyclopedia :: Information Genius farey sequences are named after the British geologist john farey, whose letterabout these sequences was published in the Philosophical Magazine\ in 1816. http://www.informationgenius.com/encyclopedia/f/fa/farey_sequence.html

Quantum Physics Pampered Chef Paintball Guns Cell Phone Reviews ... Science Articles Farey sequence Online Encyclopedia In mathematics , a Farey sequence of order n is the sequence of completely reduced fractions between and 1 which, when in their lowest terms, have denominators less than or equal to n , arranged in order of increasing size. Each Farey sequence starts with the value 0, denominated by the fraction 0/1, and ends with the value 1, denominated by the fraction 1/1 (although some authors omit these terms). A Farey sequence is sometimes called a Farey series , which is not strictly correct, because the terms are not summed. Table of contents 1 Examples 2 History 3 Properties 3.1 Sequence length ... 4 References Examples The Fary sequences of orders 1 to 8 are : F F F F F F F F History The history of 'Farey series' is very curious ... once again the man whose name was given to a mathematical relation was not the original discover so far as the records go. Beiler (1964) Chapter XVI Farey sequences are named after the British geologist John Farey, whose letter about these sequences was published in the in . Farey conjectured that each term in a Farey sequence is the mediant of its neighbours - however, so far as is known, he did not prove this property. Farey's letter was read by

37. I151019: Eva Maria ( - ) _Daniel BURGARD _Susanna HOLLINGER _ farey Ellen BURGARD BURIALBurkittsville, Frederick, Maryland. Family 1 john Jacob BISER MARRIAGE http://midatlantic.rootsweb.com/database/d0098/g0000025.htm

Eva Maria Family 1 Jacob LEHNER Margaretha LEHNER Eva Maria INDEX Notes !NAME: MARIE SELLERS HOLLINGER, MARI@NETINS.NET. EMAIL HOME HTML created by on Sat Jan 03 09:10:08 2004. Jacob BRILLHART BIRTH : Abt 1816, , York, Pennsylvania Father: Samuel BRILLHART Mother: Catherine FREED Jacob BRILLHART _Catherine FREED INDEX Notes EMAIL HOME HTML created by on Sat Jan 03 09:10:08 2004. J C BROGDON Father: Albert BROGDON Mother: Gladys BROWN J C BROGDON INDEX Notes !NAME: BARBARA MITCHELL, ADAIRSVILLE, GA. EMAIL HOME HTML created by on Sat Jan 03 09:10:08 2004. William BROOKE CHRISTENING : 27 FEB 1630, Old Swineford, Worcestershire, England Father: William BROOKE Mother: Joane GILL William BROOKE _Gilbert GILL INDEX ... HOME HTML created by on Sat Jan 03 09:10:08 2004. James BROSE Father: Peter BROSE Mother: Joyce HEILMAN James BROSE _Irene Lucile HENRETTY INDEX Notes !NAME: ANCESTRY WORLD TREE, ANCESTRY.COM. EMAIL HOME HTML created by on Sat Jan 03 09:10:08 2004. Farey Ellen BURGARD BIRTH : 28 MAR 1872 DEATH : 9 AUG 1873 Father: Daniel BURGARD Mother: Catherine SIMMERS _John BURGARD _Daniel BURGARD Farey Ellen BURGARD ... INDEX Notes EMAIL HOME HTML created by on Sat Jan 03 09:10:08 2004.

38. Burness Genealogy And Family History - Person Page 157 john farey b. circa 1886, 15613. john farey was born circa 1886. Hemarried Caroline Burness, daughter of Benjamin Burness and Georgina http://www.burness.ca/p157.htm

Burness Genealogy and Family History One Name Study Person Page 157 Main Page Master Index Surname Index Branches of the Burness Family ... Next Page Neale Scott Ames Pop-up Pedigree Neale Scott Ames is the son of Kenneth Scott Ames and Eileen Doris Allbon Appears on charts: Descendants of Gilbert Burns Nova Williamina Allison Appears on charts: Descendants of Gilbert Burns Child of Nova Williamina Allison and Vincent Grant Ames Christine Allison Ames (private) Christine Allison Ames Pop-up Pedigree Christine Allison Ames is the daughter of Vincent Grant Ames and Nova Williamina Allison Appears on charts: Descendants of Gilbert Burns Children of Christine Allison Ames and Richard John Durey Amy Sophia Ames-Durey (private) Ana Williamina Ames-Durey (private) Alice Georgina Ames-Durey (private) Richard John Durey Appears on charts: Descendants of Gilbert Burns Children of Richard John Durey and Christine Allison Ames Amy Sophia Ames-Durey (private) Ana Williamina Ames-Durey (private) Alice Georgina Ames-Durey (private) Amy Sophia Ames-Durey Pop-up Pedigree Amy Sophia Ames-Durey is the daughter of Richard John Durey and Christine Allison Ames Appears on charts: Descendants of Gilbert Burns Ana Williamina Ames-Durey Pop-up Pedigree Ana Williamina Ames-Durey is the daughter of Richard John Durey and Christine Allison Ames Appears on charts: Descendants of Gilbert Burns Alice Georgina Ames-Durey Pop-up Pedigree Alice Georgina Ames-Durey is the daughter of Richard John Durey and Christine Allison Ames Appears on charts:

39. Member List - GFXartist.com - Over 36,000 Pages Of Digital Expression farey, john farey, 0, Czech Republic, 06/17/2002 @826, add to buddylist, sendmessage. filosof, 0, Czech Republic, 03/22/2004 @644, add to buddylist, sendmessage. http://www.gfxartist.com/community/member_list?country=203

40. Bands And Rockrom Names Family Nego , Family Ness, Family Of Apostolic, Family O 0 1) Farell, Marc ( 4 4) Farelly, Peter ( 0 4) Farenheit ( 2 0) Farenji, Leo ( 21) Farewell ( 1 0) farey, David ( 0 1) farey, Everett ( 0 1) farey, john ( 0 1 http://www.rockrom.co.uk/Musicians_bands/rockrom236.shtml

Home Products Order Contacts ... Bands/Artist /Musicians Please note we do not stock records by these Artists This is a list of the bands and artists that are listed in the RockRom database You may buy the complete RockRom "ulimate record collection" on a CD ROM. The disk includes all the data, the program and many other features for record collectors Select From List > 4 Flickers > 5 Classics > 7 Sioux > Aass, Lars > Abunai! > Ad Lib Singers > Added, Mickey > Africa > Aikens, Bill > Al-sadeqi, Sabah > Alda Reserve > Alexandria, Lorez > Allan, Steve/ Vera, Ricky > Allen, Phylcia > Almighty Dread > Alvarado, Aymarra > American Boy Choir > Anamari > Anderson, Ken > Andrews, Andy > Angelito > Anode > Antoniou, Antony > Aquarhythms > Are You Lonesome Tonight? > Arpaderba > Asaf's Knapenkoor > Asoka > Atkins, Chet/ Kirk, Red > Audio Deluxe > Autrey, Herman > Aykroyd, Dan > B, Franky > Bacalov, Luis > Badger, Jackie > Bailey, Rob > Baker, Mark > Balin, Walter > Bamberger Symph. Orch. > Banks, Charles > Barish, Jesse > Barnes, Tim > Barrett, Gregg >

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