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

ELENCO ARTISTI PRESENTI NEI NOSTRI ARCHIVI LETTERA: F - PAGINA: HOME PAGE A B C ... FARRAR John

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

John Farey Born: 1766 in Woburn, Bedfordshire, England Died: 6 Jan 1826 in London, England Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index 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

document.write(""); FAREY, JOHN 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

References for John Farey Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: G H Hardy and E M Wright, An introduction to the theory of numbers (New York, 1945). Articles: M Bruckheimer and A Arcavi, Farey series and Pick's area theorem, The Mathematical Intelligencer John Farey (1766-1826), Dictionary of National Biography (London, 1897), 367-370. J Farey, On a curious property of vulgar fractions, Philos. Mag. J. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR February 2000 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.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

Grass-hill (or Hasland) 12 th coal (an iron furnace and mines) Grass-moor (Platts) 1m W of Temple Normanton 11 th coal Grass-moor ½m W of Temple Normanton 12 th coal Hasland NE 1¼m SE of Chesterfield, 9 th coal (formerly) Lings ¼m SSW of Temple Normanton 12 th coal 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. L. Phillips Sources: 9. SRO Bag 574-1 10. FORD. The history of Chesterfield. Whittaker, 1839. 11. BESTALL, J.M. History of Chesterfield Vol III: Early Victorian Chesterfield. Borough of Chesterfield, 1978. 12. HUNTER, G.C. Road development in South Yorkshire and North Derbyshire 1700-1850. IN Transactions of the Hunter Society V10 Pt1 p14-30. Bar 797, and Derby Mercury June 1808. 13. SRO JC 1712 14. Bar 773,796,797 15. FAREY, John. A general view of the agriculture and minerals of Derbyshire. 3 Vols. 1811-1817. 18. SRO Bag 578

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

Fairchild, Claude F. , 3 Aug 1875 Fairfield, Clare Edward "Sonny" , 29 Jul 1946 Farey, John Farey, Joseph Farr, George , about 1622 Farr, Mary , 6 Jan 1624-1 Faust, Maria Elisabeth , 21 Jun 1754 Faust, Peter Felder, Clifford Felder, Dewey Felder, George M. , 14 Jan 1875 Felder, Goldie , 9 Oct 1902 Felder, John Felder, Joseph , 11 Feb 1877 Felder, Martin , 26 Aug 1885 Felder, Mary Christiana Magdalena , 17 Oct 1872 Felder, Michael , 21 Aug 1845 Felder, Unknown Felder, William Frank Fellerath, August , 6 May 1874 Fellerath, Joseph Fellerath, Victor L. Felton, Tom Fergus, Charles Elbert , 31 Oct 1898 Fergus, Jency Fergus, Margaret Fergus, S.E. Ferrari, Gabe ... Fick, Herman H. , 3 Sep 1889 Fick, John H. Fields, ? Fields, ? Fields, ? ... Fields, Abner , 22 Nov 1797 Fields, Absolum Fields, Agnes Fields, Albert Mitchel , 31 Jan 1889 Fields, Alexander Fields, Alfred Fields, Alice Fields, Allen Dodd ... Fields, Allen , 18 Mar 1789 Fields, Allen , 22 Jul 1830 Fields, Allie Fields, Alonzo Fields, Ambrose Fields, Anna Zoe , 18 Mar 1897 Fields, Ansel , about 1810 Fields, Anselna , 5 Jan 1748-1 Fields, Arrinia

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

Genealogy Index for surnames beginning with F Back to Main Page Fafart, Jeanne Fairbairn, John (living) Fairbairn, Mark (living) Fairbairn, Paul (living) Fairbairn, Steven (living) Fairbairn, Tom Fairbairn, Tom (living) Fairchild, Thomas (-BEF 1675) Fairman, Clark (11 SEP 1885-2 FEB 1908) Fairman, David Lewis Fairman, Ernest (9 MAY 1870-) Fairman, Leo (11 SEP 1885-) Faneuf, Dostie Farey, Alice D. Farey, Bertha Farey, Burdett ... Favreau, Mathurin (28 MAR 1677-) Favreau, Pierre Fawkes, Alice Fawkes, Walter (ABT 1584-) Fawr, Llywelyn Fayette, Etienne Fayette, Marie Fenn, Herbert ... Fenn, Norman Elbert (1 MAY 1923-SEP 1984) Fenn, Verna Janet (10 JAN 1920-) Fenner, Ella Fennick, Elizabeth Fennick, John Fernandez Barroso, Sancha ... Ferry, Susannah (1817-10 SEP 1889) Fever (Favor), Mary Ffettiplace, Anne (16 JUL 1496-16 AUG 1568) Ffettiplace, John Ffettiplace, Peter Ffettiplace, Philip Ffettiplace, Richard ... Filion, Jean (1667-30 JAN 1731) Filion, Jean Baptiste Filion, Joseph Filion, Marguerite Filion, Pierre Marie ... Filkes, Mary (ABT 1571-BEF 1 AUG 1627) Fineout, Jerry

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

Genealogy Data Back to Main Page Miller, Martha Birth : 22 MAY 1897 Gender: Female Family: Marriage: 6 OCT 1919 in Evans City, PA Spouse: Risley, Clyde Birth : 28 SEP 1893 Gender: Male Parents: Father: Risley, William Abraham Mother: Detell, Jessie P. Children: Risley, William Clyde Birth : 20 JUL 1923 Ashtabula, OH Gender: Male Back to Main Page Brewster, Harley Birth : 29 JUN 1897 Gender: Male Family: Marriage: 18 JUN 1921 in Jefferson, OH Spouse: Risley, Nellie Birth : 15 JUN 1896 Gender: Female Parents: Father: Risley, William Abraham Mother: Detell, Jessie P. Children: Brewster, Shirley Fay Birth : 27 OCT 1922 Gender: Female Brewster, Robert Birth : living Gender: Male Back to Main Page Miller, Elizabeth Gender: Female Family: Marriage: 24 DEC 1927 Spouse: Risley, Walter Birth : 10 FEB 1904 Gender: Male Parents: Father: Risley, William Abraham Mother: Payne, Hattie Children: Risley, Charles W. Birth : living Gender: Male Risley, Richard Birth : living Gender: Male Back to Main Page Courtney, Doris

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

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. Brian Hogan, Bill Gibson, Brian Marnell, Mario Cipollina, Johnny Colla, John Farey 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

San Francisco Chronicle, Friday August 8, 1974: Van Ending Club Dates 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

Author Index A B C D ... Z Select a term to add it to your current query ABERNETHY, John ACCUM, F. ADDISON, William ALCOCK, Thomas ... WILSON, James

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

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

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

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 (

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

The Farey Room 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. Continued Fractions 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. Waves z it . Along the vertical axis, t=0 at the bottom, t=pi at the top.

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

The Farey Room The Farey Room contains pictures generated by means transformations of the Farey Number Mapping (Farey Tree), and through transformations of the Continued Fraction Mapping. Continued Fractions 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 Farey Transforms 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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