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Farey John:     more detail

General View of the Agriculture and Minerals of Derbyshire: With Observations On the Means of Their Improvement by John Farey, 2010-02-03 A Treatise on the Steam Engine (Volume 1); Historical, Practical, and Descriptive by John Farey, 2010-01-12 General View of the Agriculture and Minerals of Derbyshire: With Observations On the Means of Their Improvement Drawn Up for the Consideration of the Board of Agriculture and Internal Improvement by John Farey, 2010-02-03 A treatise on the steam engine: Historical, practical and descriptive by John Farey, 1971 General View of the Agriculture and Minerals of Derbyshire: With Observations On the Means of Their Improvement. Drawn Up for the Consideration of the ... and Internal Improvement, Volume 2 by John Farey, 2010-02-22 GENERAL VIEW OF THE AGRICULTURE AND MINERALS OF DERBYSHIRE: VOL. I. by John Sen. Farey, 1989-01-01 FROM WHITEHURST'S 'INQUIRY' TO FAREY'S; DERBYSHIRE': A CHAPTER IN THE HISTORY OF ENGLISH GEOLOGY. by John. Challinor, 1947

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1. Comanducci Arte Italia - Catalogo Artitsti
   Comanducci.it, elenco artisti tratto dal Dizionario Comanducci. FAREY Cyril Arthur. FAREY Hélène. farey john. FARFA V. TOMMASINI Vittorio Osvaldo  
   http://www.comanducci.it/elenco/elencoF5.htm

2. Farey
   John Farey. Born 1766 John Farey has been included in this archivedespite being a geologist and not a mathematician. The reason  
   http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Farey.html
   
   Extractions: John Farey has been included in this archive despite being a geologist and not a mathematician. The reason we have included him is that he made one mathematical observation and, from this, the Farey series of fractions has been named. We shall discuss below Farey's contribution to mathematics and also look at others who contributed to Farey series. Farey attended a local school in Woburn until he was sixteen years of age when he went to a school in Halifax, Yorkshire, where he studied mathematics, drawing and surveying. He married in 1790 and, the following year, his first son (also called John Farey) was born. John Farey Jnr (1791-1851) went on to become a civil engineer and also has an entry in the Dictionary of National Biography immediately following that of his father. Francis, the fifth Duke of Bedford had extensive estates in Bedfordshire and, in 1792, he appointed Farey as the land steward for his Woburn estates. Farey held this post for ten years and it was during this time that he was able to gain expertise in geology. In October 1801 William Smith, the engineer and geologist who is best known for his development of the science of stratigraphy (which is the study of rock successions and relation to the historical time scale), was employed by the Duke of Bedford. Farey had already become interested in soils and rocks through carrying out his duties as land steward and he now took the opportunity to learn all that he could from Smith about stratification. When the Duke died suddenly in 1802, the Duke's brother John dismissed Farey from his post. At this point Farey went to London where he [4]:-

3. Marin IJ - Graduation Special Section 2001
   Kevin James Eberitzsch Ryan Lynne Eddy Gemma Lucy Maryln Edward Aron John WilliamElliott Kristina Marie Fahy Mischa Leah farey john Thomas Fitzpatrick Jr.  
   http://www.marinij.com/special/graduation2001/school8.html

4. FAREY, JOHN
   farey, john. klopddie (1898). (A. Go.*). farey, john (1766—1826),English geologist, was born at Woburn in Bedfordshire ~fl 1766.  
   http://47.1911encyclopedia.org/F/FA/FAREY_JOHN.htm
   
   Extractions: Castle, an extensive walled enclosure retaining its Norman keep, and exhibiting in its outer walls considerable evidence of Roman workmanship; Professor Haverfield, however, denies that it occupies the site of the Roman Portus Ma gnus. The church of St Mary has some fine Norman portions. It belonged to an Augustinian priory founded by Henry I. At Titchfield, 3 m. W. of Fareham, are ruins of the beautiful Tudor mansion, Place House, built on the site of a Premonstratensian abbey of the :13th century, of which there are also fragments. Farel wrote much, but usually in haste, and for an immediate purpose. He takes no rank as a scientific theologian, being a man of activity rather than of speculation or of much insight. His Sommaire was re-edited from the edition of 1534 by J. G. Baum in 1867. Others of his works (all in. French) were his treatise on purgatory (1534), on the Lord’s Prayer (1543), on the Supper (1555). He “was remarkable for boldness and energy both in preaching and prayer” (M. Young, Life of Paleario). As an orator, he was denunciatory rather than’ suasive; thus while on the one hand he powerfully impressed, on the other hand he stimulated opposition. A monument to him vvas unveiled at Neuchâtel on the 4th of May 1876. Lives of Farel are numerous; it may suffice to mention C. Ancillon, Vie de G. Farel (1691); the article in Bayle,; M. Kirchhofcr, Das Leben W. Farels (1831—1833); Ch. Schmidt, Etudes sur Farel (1834); F. Bevan, W. Parel (1893) ; J. J. Herzog, in Herzog-Hauck’s Realency

5. References For Farey
   References for john farey. Biography in Dictionary 67. john farey (17661826),Dictionary of National Biography (London, 1897), 367-370. J farey  
   http://www-gap.dcs.st-and.ac.uk/~history/References/Farey.html

6. Page Title
   farey, john. A General View of the Agriculture and Minerals of Derbyshire, Volume 1.  
   http://nwlhg.www7.50megs.com/page30.html
   
   Extractions: From Hasland Tithe Book 1835-1849 we know that a colliery was in work somewhere in the township in 1841, but its location is not given. Maps of 1840 and 1849 show collieries on land to the north of Birkin Lane, on the north side of Gill Lane and at Corbriggs. Evidence of bell-pit workings has been found on all three sites.

7. Bagley Family Listing
   Fairfield, Clare Edward "Sonny", 29 Jul 1946. farey, john. farey, Joseph. Farr, George, about 1622  
   http://rmeservy.byu.edu/pafhtml/Bagley/listf.htm

8. 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

9. ShutterCity.com
   All Comments submitted by john farey (Page 1 of 1) (Turn off Comment Preview mode)No. Title, By, Submitted Date. 1), sunset, margarida a, Fri, 4 Oct 2002 083138.  
   http://www.shuttercity.com/ShowCommentsByUser-preview.cfm?AcctID=6148

10. Genealogy Index For Surnames Beginning With F
    11 SEP 1885) Faneuf, Dostie (-) farey, Alice D. (-) farey, Bertha (-) farey, Burdett(-) farey, Elizabeth (-) farey, Henry (-) farey, john (-) farey, Mary  
    http://www.geocities.com/Heartland/Plains/2786/idxf.html

11. Genealogy Data
    Amelia Birth 23 JUL 1848 Gender Female Parents Father Hart, Philip MotherBishop, Fannie Children farey, William Gender Male farey, john Gender Male  
    http://www.geocities.com/Heartland/Plains/2786/dat24.html

12. Sound Hole
    First called Wide Hole the band began when Mario Cipollina, Bill Gibson and johnfarey were all in high school. john farey, Trombone, Keyboards, Sly Stone.  
    http://www.bay-area-bands.com/bab00018.htm
    
    Extractions: F irst called Wide Hole the band began when Mario Cipollina, Bill Gibson and John Farey were all in high school. Sound Hole , named for the hole in a guitar, really pulled together when Dan Shallack, the bands first leader, was murdered with his parents by a psychotic in Mill Valley. They picked up gifted guitarist Brian Marnell and success on the local club scene was theirs. Besides, John Farey's father, Everett Farey, once played with the Bay City Jazz Band which recorded a couple of albums in 1956-1957. In the early 70s Sound Hole became Van Morrison's back-up band. A friend of John Farey who had been painting some covers for Van Morrison introduced the band to Van. Months later Van called the band and Sound Hole went on the road with him, backing him up for several months. One of Sound Hole's concerts with Van Morrison - July 29, 1974 at The Orphanage, San Francisco, CA, was even televised on PBS. A video tape of this show was used in 1995 to produce and release the bootleg CD "Live at the Orphanage". After those S.F. shows they toured the midwest with Greg Douglass on guitar - as a replacement for Sound Hole's original guitarist.

13. Bay Area Bands: Sound Hole/Van Morrison
    I was especially impressed with alto saxist john Colla and pianisttrombonistjohn farey. A (? tenor man Brian Hogan sing  
    http://www.bay-area-bands.com/bab00028.htm
    
    Extractions: San Francisco Chronicle, Friday August 8, 1974: By Joel Selvin Ever since he moved here several years ago, Van Morrison has enjoyed working the areas small rock clubs. However; his performance Tuesday at the Orphanage - electric in its rapport with the full house - will apparently be his last club date for some time. Morrison will cease playing clubs on an announced advertised basis, because the exposure has damaged his hard ticket-concert appeal on the west coast, according to Orphanage manager Richard Hundgeon. Morrison, who just returned from Europe where he played the Montreux Jazz Festival, is a major rock attraction in the U.S. and Europe. He is probably the biggest name act to work the local clubs regularly. For his two night stand, Morrison was accompanied by the red hot Marin County sextet Sound Hole. As always, he communicated every nuance in his standards - "Into The Mystic," "Moondance," "Listen To The Lion" and "Warm Love". He closed the early show with "Gloria" - the 1965 hit record he sang as a member of the Irish rock group Them. He offered only two new compositions - both fairly blues oriented - but did play a good deal of bebob tuned tenor saxophone, something relatively new for him.

14. Author Index
    EXLEY, Thomas (1). Top of Page. farey, john (1) FIELDING, TH (1) FLEMING,Dr. (1) FONTANIER, V. (2) FRANKLAND, Capt. Charles Colville (3  
    http://oldspice.soi.city.ac.uk/project/athenaeum/scientific/A.mf.html

15. Athenaeum Single-field Search Results
    Athenaeum Singlefield Search Results. Author contains farey, john .Reviews. Issue 045, 03/09/28 p. 708-710 Heading The Steam-Engine  
    http://oldspice.soi.city.ac.uk/project/athenaeum/scientific/sfsearch.cgi?F=A&T=F

16. 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

17. AIM25: Royal Society: Smeaton, John (1724-1792)
    System of arrangement Classified by john farey from 1821 under six headingsWindmills and Watermills for Grinding Corn; Mills for various purposes and  
    http://www.aim25.ac.uk/cgi-bin/search2?coll_id=5968&inst_id=18

18. 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.com/blue/FareyHistory.shtml
    
    Extractions: Recommend this site 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 (

19. The Farey Room
    The work was inspired by a Christmas reading of the Contorted Fractions chapterof john Conway's On Numbers and Games . The importance of farey Trees to  
    http://linas.org/art-gallery/farey/fthumb.html
    
    Extractions: The Farey Room contains pictures generated by means transformations of the Farey Number Mapping, and through transformations of the Continued Fraction Mapping. Click on the small icons to see larger, more detailed views. Gap Theory page. Palms The above shows the most basic transformation, where all occurrences of "1" in the numerator of continued fraction expansions of the real number are replaced by "z". That is, if x = 1/(a+1/(b+1/(c+1/(d+ ...)))) then f z (x) = 1/(a+z/(b+z/(c+z/(d+ ... )))). We use f z (x) mod 1 to generate a Hausdorff measure for a given (x,z). The measure is shown as a color, with black=zero, blue=small, green=larger, yellow=large, red=larger still. Along the horizontal axis, real numbers. Along the vertical axis, z, ranging from +1 to -1 (+1 at bottom, -1 at top, along the midline). Note the pseudo-Sinai's Tongues which occur for all irrational values on the horizontal axis. This is essentially due to the fact that the mapping is discontinuous for all rational values of x, and z != 1.

20. The Farey Room
    by a Christmas reading of the Contorted Fractions chapter of john Conway's On quickiebibliography below was scammed from http//www.math.uwn.edu/farey.html  
    http://linas.org/art-gallery/farey/farey.html
    
    Extractions: The Farey Room contains pictures generated by means transformations of the Farey Number Mapping (Farey Tree), and through transformations of the Continued Fraction Mapping. The above shows the most basic transformation, where all occurances of "1" in the numerator of continued fraction expansions of the real number are replaced by "z". That is, if x = 1/(a+1/(b+1/(c+1/(d+ ...)))) then f(x) = z/(a+z/(b+z/(c+z/(d+ ... )))) mod 1. This f(x) is used to generate a Hausdorff measure for a given (x,z). The measure is shown as a color, with black=zero, blue=small, green=larger, yellow=large, red=larger still. Note that as z gets larger than one, it is technically undefined, as the continued fraction rockets out of control. However, computationally, x was always a rational (but barely ...), and so each continued fraction terminates. Along the horizontal axis, real numbers. Along the vertical axis, z, ranging from to 2. Note the psuedo-Sinai's Tongues which occur for all irrational values on the horizonal axis. This is essentially due to the fact that the mapping is discontinuous for all rational values. Cosine Transform 1 -> cos (z) Exponential Transform 1 -> exp (z) An attempt to create a symmetrized version Spherical Bessel (j0) Transform 1 -> j0(z) Tall Wide Symmetric component of above image Anti-symmetric component of above image Most of these images were generated during January and February of 1994, in Austin, Texas. The work was inspired by a Christmas reading of the "Contorted Fractions" chapter of John Conway's "On Numbers and Games".

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