Fano Gij n Fano . For an Italian mathematician, see Gino Fano . For the algebraic variety, see Fano variety . Infobox Italian comune name Fano official name Comune di Fano native name image skyline imagesize image alt image caption Arco di Augusto . image shield Fano Stemma.png shield alt image ..., Carrara di Fano, Centinarola, Cuccurano, Falcineto, Fenile, Magliano, Marotta di Fano, Metaurillia, Ponte Sasso, Roncosambaccio, Rosciano, Sant Andrea in Villis, Torrette di Fano, Tre Ponti mayor party ... code 0721 website official http www.comune.fano.pu.it footnotes Fano is a town and comune of the province .... File Fano Castle.jpg thumb 220px left The Castle of Fano in a 19th century etching. The high ... of Fano that took place on the banks of the Metauro river just inland of Fano. Fano was destroyed ... condottiero Sigismondo Pandolfo Malatesta , Fano was besieged by Papal troops under Federico III da ... I Fano was several times bombed by the Austro Hungarian Navy . During World War II it was massively .... Main sights Fano s main attractions include The Roman gate called Arco d Augusto . The upper ... Troops in 1463 and signed the peace treaty that ended the Malatesta domination of Fano. The Museo Civico ... parts of the ancient cathedral were used. Culture Fano dei Cesari is held annually in July for a week ... and chariot races. The Fano Jazz by the Sea festival is held annually for one week. People from Fano Martino Del Cassero da Fano the end of sec. XII ca. 1272 ca. , jurisconsult Clemente VIII, Ippolito ... See also List of twin towns and sister cities in Italy Fano is town twinning twinned with flagicon GER ... External links http www.comune.fano.ps.it Fano homepage it icon http www.baylor.edu abl index.php?id 45916 The Fano Club at Baylor University http www.fanodeicesari.com Fano dei Cesari it icon http www.moonlightfestival.com Fano Moonlight Festival New Wave Dark Electro it icon en icon http www.fanojazz.org jazz by the sea.htm Fano Jazz by the Sea it icon br Province of Pesaro e Urbino Category ... more details
Gino Fano 5 January 1871 ndash 8 November 1952 was an Italian language Italian mathematician . He was born in Mantua , Italy and died in Verona , Italy. Fano worked on projective geometry projective and algebraic geometry the Fano plane , Fano fibration , Fano surface , and Fano variety Fano varieties are named for him. Ugo Fano and Robert Fano were his sons. References cite book authorlink Ivor Grattan Guinness last Grattan Guinness first Ivor year 2000 title The Search for Mathematical Roots 1870 1940 publisher Princeton University Press External links MacTutor Biography id Fano MathGenealogy id 43285 Persondata Metadata see Wikipedia Persondata . NAME Fano, Gino ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1871 PLACE OF BIRTH DATE OF DEATH 1952 PLACE OF DEATH DEFAULTSORT Fano, Gino Category 1871 births Category 1952 deaths Category People from Mantua Category Italian mathematicians Italy mathematician stub de Gino Fano es Gino Fano fr Gino Fano it Gino Fano ht Gino Fano nl Gino Fano pms Gino Fano pl Gino Fano ... more details
Infobox Italian comune name Fano Adriano official name Comune di Fano Adriano native name image skyline imagesize image alt image caption image shield Fano Adriano Stemma.png shield alt image map map alt map caption pushpin label position pushpin map alt latd 42 latm 33 lats 14 latNS N longd 13 longm 32 longs 12 longEW E coordinates type region IT coordinates display title coordinates footnotes region RegioneIT sigla ABR province ProvinciaIT short form sigla TE TE frazioni Cerqueto, Ponte Rio Arno, Regimenti mayor party mayor area footnotes area total km2 35 population footnotes ref name istat All demographics and other statistics from the Italian statistical institute Istat ref population total 419 population as of 1 January 2007 pop density footnotes population demonym Fanesi elevation footnotes elevation min m elevation max m elevation m 745 twin1 twin1 country saint San Valentino day 14 February postal code 64044 area code 0861 website official http www.cmgransasso.it fanoadriano default.aspx footnotes These are currently unused istat 067024 fractions Crognaleto , Isola del Gran Sasso d Italia , L Aquila AQ , Montorio al Vomano , Pietracamela , Tossicia fiscal code D489 Fano Adriano is a town and comune in Teramo province in the Abruzzo region of eastern Italy . It is located in the natural park known as the Gran Sasso e Monti della Laga National Park . References Reflist Abruzzo geo stub Province of Teramo Category Cities and towns in Abruzzo roa rup Fano Adriano bcl Fano Adriano de Fano Adriano es Fano Adriano eo Fano Adriano fr Fano Adriano gl Fano Adriano it Fano Adriano lmo Fano Adriano hu Fano Adriano nl Fano Adriano ja nap Fano Adriano pms Fano Adriano pl Fano Adriano pt Fano Adriano ru uk vo Fano Adriano war Fano Adriano ... more details
In algebraic geometry , a Fano fibration or Fano fiber space , named after Gino Fano , is a morphism of varieties whose general fiber is a Fano variety in other words has ample anticanonical bundle of positive dimension. The ones arising from extremal contractions in the minimal model program are called Mori fibrations or Mori fiber spaces . They appear as standard forms for varieties without a minimal model. References Citation last1 Matsuki first1 Kenji title Introduction to the Mori program publisher Springer Verlag location Berlin, New York series Universitext isbn 978 0 387 98465 0 id MathSciNet id 1875410 year 2002 Category algebraic geometry ... more details
Infobox scientist box width 300px name Ugo Fano image Ugo Fano.jpg image size 300px caption Ugo Fano ... Theodosiou br Shinichi Watanabe br notable students known for Lu Fano plot br Feshbach Fano partitioning br Fano resonance br Fano factor br Fano effect br Fano Lichten mechanism br Beutler Fano profile ... awards Enrico Fermi Award 1995 signature filename only footnotes His father was Gino Fano , he is the brother of Robert Fano , and the cousin of Giulio Racah . Ugo Fano July 28, 1912 February ... Ugo Fano was born in Turin , Italy . His father was Gino Fano , a professor of mathematics. ref name in memoriam University studies Fano earned his doctorate in mathematics at the University of Turin ... Nella Geometria Non Riemanniana. European years Fano worked with Enrico Fermi in Rome, where he was a senior ..., Fano developed his seminal Feshbach Fano partitioning theory of resonant configuration interaction Fano resonance Fano resonance profile , which led to two papers. ref cite journal first Ugo last Fano ... 6fan.pdf English translation ref ref Cite journal first Ugo last Fano http prola.aps.org abstract ... cited articles published in the Physical Review . Fano spent 1936 37 with Werner Heisenberg ... Ugo Fano ref Career in the United States In 1939, he married Camilla Lattes , ref name in memoriam ... last Bianconi title Ugo Fano and shape resonances ref His initial work in the U.S. was on bacteriophages ... legacy Fano had a major impact in sustained work over six decades on atomic physics and molecular ... reflect his fundamental contributions. Such phenomena as the Fano resonance Fano resonance profile , the Fano factor , the Fano effect , the Lu Fano plot , and the Fano Lichten mechanism bear his name. The Fano theorem used in radiation dosimetry is also a result of his work. Family Cleanup section date June 2010 His brother, Robert Fano , is an eminent professor emeritus of electrical engineering at MIT . Fano s cousin, Giulio Racah , made great contributions to the quantum theory of angular ... more details
In statistics , the Fano factor ref Cite doi 10.1103 PhysRev.72.26 ref , like the coefficient of variation , is a measure of the statistical dispersion dispersion of a probability distribution of a Fano noise . It is named after Ugo Fano . The Fano factor is defined as math F frac sigma W 2 mu W , math where math sigma W 2 math is the variance and math mu W math is the mean of a random process in some time window math W math . The Fano factor can be viewed as a kind of noise to signal ratio it is a measure of the reliability with which the random variable could be estimated from a time window that on average contains several random event s. For a Poisson process , the variance in the count equals the mean count, so math F 1 math normalization . If the time window is chosen to be infinity, the Fano factor is similar to the variance to mean ratio VMR which in statistics is also known as the Index of dispersion . In Particle detector detector systems , the Fano Factor results from the energy loss in a collision not being purely statistical. The process giving rise to each individual charge carrier is not independent as the number of ways an atom may be ionized is limited by the discrete electron shells. The net result is a higher energy resolution than predicted by purely statistical considerations. The Fano factor is a material specific value. Theoretical values ref Cite doi 10.1103 PhysRevB.22.5565 ref are Si 0.115 br Ge 0.13 br GaAs 0.10 br Diamond 0.08 See also Fano noise Ugo Fano References reflist Category Statistical deviation and dispersion Category Statistical ratios de Dispersionsindex ja uk ... more details
Orphan date June 2008 Expert subject Physics date February 2009 Fano noise is a fluctuation of an electric charge obtained in a detector in spite of constant value of the measured quantity, which is usually an energy , arising from processes in the detector. It was first described by Ugo Fano in 1947 Phys. Rev. 72, p. 26&ndash 29 , as a fluctuation of amount of ion pairs produced by a charged particle of high energy in a gas. The amount of the ion pairs is proportional to the energy the particle loses in the gas, but with some error due to the Fano noise. Surprisingly, the noise is usually smaller than a Poisson process Poisson distribution noise in which the variance is equal to the value note the variance is average squared distance from the expected value , showing there is an interaction between ionization acts. A Fano factor was introduced to describe it, and the factor is almost independent of the energy measured Fano computed it to change from 0.43 to 0.47 for ionization of atomic hydrogen by electrons of energy from 1keV to 100keV . Fano expected it to be between 1 3 and 1 2 for gases, for moderate energies of ionizing particles. The Fano noise applies as well to other processes in which an energy is converted to an electric charge solid state detectors of charged particles and gamma radiation, and even semiconductor light detectors like image sensors. E.g. it is a limiting factor in the noise characteristics of Charge coupled device CCD s and CMOS image sensor s. The Fano factor achieveable is an important parameter of the detector material &mdash the smaller it is the better. External links http adsabs.harvard.edu abs 1988SPIE..982...70J Abstract Janesick et al. Fano noise limited CCDs See also Fano factor Category Noise ... more details
Robert Mario Fano born 1917 in Turin , Italy , as Roberto Mario Fano is an Italy Italian USA American computer scientist, currently professor professor emeritus of Electrical Engineering and Computer Science at Massachusetts Institute of Technology . Fano is known principally for his work on information theory , inventing with Claude Shannon Shannon Fano coding . In the early 1960s, he was involved in the development of time sharing computers, and served as director of MIT s Project MAC from its founding in 1963 until 1968. Fano s father was the mathematician Gino Fano his older brother was physicist Ugo Fano . He grew up in Turin and studied engineering as an undergraduate at the School of Engineering of Torino until 1939, when he emigrated to the United States. He received his bachelor s degree S.B. in electrical engineering from MIT in 1941, before joining the staff of the MIT Radiation Laboratory . After the war, he received an Sc.D. , also from MIT, in 1947 his thesis, entitled Theoretical Limitations on the Broadband Matching of Arbitrary Impedances , was supervised by Ernst Guillemin . He joined the MIT faculty in 1947. Between 1950 and 1953, he led the Radar Techniques Group at Lincoln Laboratory . Fano is a member of the United States National Academy of Sciences National ... in information theory, Fano also published articles and books about microwave systems, electromagnetism ...?id 99 Oral history interview with Robert M. Fano 20 April 1989. Charles Babbage Institute University of Minnesota. Fano discusses his move to computer science from information theory and his interaction ... www.youtube.com watch?v sjnmcKVnLi0 Video of Robert Fano from 1964, demonstrating the Compatible Time Sharing System CTSS . Persondata Metadata see Wikipedia Persondata . NAME Fano, Robert ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Fano ... Fano fr Robert Fano it Robert Fano ... more details
Infobox Military Conflict conflict Battle of Fano partof the Roman Alamanni conflict br Part of the Roman Germanic wars image caption date start date January 0271 January 271 place on the Metaurus River near Fano , ITA result Roman victory combatant1 Image Mjollnir.png 25px alt link Alamanni combatant2 Image Vexilloid of the Roman Empire.svg 22px alt link Roman Empire commander1 Unknown commander2 Aurelian strength1 21,000 strength2 19,000 casualties1 3,000 casualties2 900 Campaignbox Battles of Aurelian Campaignbox Rome against the Alamanni The Battle of Fano also known as the Battle of Fanum Fortunae ref Michael Grant, The History of Rome, p. 285 ref was fought in January 271 between the Roman Empire and the Alamanni . The Romans were led by Emperor Aurelian , and they were victorious. Aurelian had been defeated by the Alamanni at the Battle of Placentia in January 271, but he had rallied his men, and started pursuing the Alamanni, who were quickly moving towards a defenceless Rome . Finally, the Roman Army caught and forced a fight with the Alamanni on the Metaurus River , just inland of Fano . The crucial moment of the battle was when the Alamanni got pinned against the river, so that, when the Germanic line was forced to give way, many Alamanni fell in the river and drowned. References Reflist Bibliography cite book last Watson first Alaric title Aurelian and the Third Century year 1999 publisher Routledge isbn 0 415 07248 4 page 50 AncientRome battle stub coord missing Italy Category 271 Category 3rd century conflicts Category Crisis of the Third Century Category Battles involving the Roman Empire Fano 271 Category Battles of the Ancient era Category History of the Germanic peoples Category Alamanni bg de Schlacht bei Fano it Battaglia di Fano lmo Battaglia de Fan nl Slag bij Fano pl Bitwa pod Fano sh Bitka kod Fana ... more details
Context date September 2008 File Fano resonance scs.png thumb right Plot of scattering cross section versus normalized energy for various values of the parameter q illustrating the asymmetric Fano line shape. In physics , a Fano resonance is a type of resonant scattering phenomena that gives rise to an asymmetric line shape. Interference between a background and a resonant scattering process produces the asymmetric line shape. It is named after Italian physicist Ugo Fano who gave a theoretical explanation for the scattering line shape of inelastic scattering of electrons off of helium ref A. Bianconi http arxiv.org abs cond mat 0211452 Ugo Fano and shape resonances in X ray and Inner Shell Processes AIP Conference Proceedings 2002 19th Int. Conference Roma June 24 28, 2002 A. Bianconi arXiv cond mat 0211452 21 November 2002 ref ref Ugo Fano 1961 Effects of Configuration Interaction on Intensities and Phase Shifts, Phys. Rev. 124 , pp. 1866 1878 DOI 10.1103 PhysRev.124.1866 ref . However Ettore Majorana was the first to discover this phenomena ref Alessandra Vittorini Orgeas, Antonio Bianconi ... many areas of physics and engineering. History The explanation of the Fano line shape first ... decays by ejecting one of the excited electrons. Fano showed that interference between the amplitude ... of the autoionization lifetime. Explanation The Fano resonance line shape is due to Interference ... in phase that creates the asymmetric line shape. Fano showed that the total scattering cross ... 2 left E E res right 2 math where q, the Fano parameter, measures the ratio of resonant scattering ... the Feshbach Fano partitioning theory. In the case the direct scattering amplitude vanishes, the q parameter becomes infinite and the Fano formula boils down to the usual relativistic Breit Wigner distribution ... 2 left E E res right 2 math Examples Examples of Fano resonances can be found in atomic physics, nuclear ... Reflist Category Quantum mechanics Category Quantum field theory Category Scattering de Fano Resonanz ... more details
In algebraic geometry , a Fano variety , introduced by harvs authorlink Gino Fano last Fano year1 1934 year2 1942 , is a non singular Complete algebraic variety complete variety whose anticanonical bundle is ample . In particular Fano varieties all have Kodaira dimension &minus . Fano varieties in dimensions 1 are isomorphism isomorphic to the projective line . In dimension 2 they are del Pezzo surface s and are isomorphic to either math mathbb P 1 times mathbb P 1 math or to the projective plane blown up in at most 8 general points, and in particular are again all rational. In dimension 3 there are non rational examples. harvs last Iskovskih year1 1977 year2 1978 year3 1979 classified the Fano 3 folds with second Betti number 1 into 17 classes, and harvtxt Mori Mukai 1981 classified the ones with second Betti number at least 2, finding 88 deformation classes. References citation first G. last Fano chapter Sulle variet algebriche a tre dimensioni aventi tutti i generi nulu title Proc. Internat. Congress Mathematicians Bologna , 4 , Zanichelli year 1934 pages 115 119 Citation doi 10.1007 BF02565618 last1 Fano first1 Gino title Su alcune variet algebriche a tre dimensioni razionali, e aventi curve sezioni canoniche url http gdz.sub.uni goettingen.de no cache dms load img ?IDDOC 209966 id MathSciNet id 0006445 year 1942 journal Commentarii Mathematici Helvetici issn 0010 2571 volume 14 pages 202 211 Citation last1 Iskovskih first1 V. A. title Fano threefolds. I doi 10.1070 IM1977v011n03ABEH001733 id MathSciNet id 463151 year 1977 journal Math. USSR Izv. issn 0373 2436 volume 11 issue 3 pages 485 527 Citation last1 Iskovskih first1 V. A. title Fano 3 folds II doi 10.1070 IM1978v012n03ABEH001994Fano ... of Fano 3 folds with B sub 2 sub 2 doi 10.1007 BF01170131 id MathSciNet id 641971 year 1981 journal ... Shigefumi last2 Mukai first2 Shigeru author2 link Shigeru Mukai title Erratum Classification of Fano ... Threefolds ko fi Fanon varisto nl Fano vari teit ... more details
about Fano variety Fano varieties of dimension 2 del Pezzo surface the projective plane over the field with 2 elements Fano plane In algebraic geometry, a Fano surface is a surface of general type whose points index the lines on a non singular cubic threefold . They were first studied by harvs txt authorlink Gino Fano last Fano year 1904 . Hodge diamond table border 0 cellpadding 2 cellspacing 0 tr th th th th th 1 th tr tr th th th 5 th th th th 5 th tr tr th 10 th th th th 25 th th th th 10 th tr tr th th th 5 th th th th 5 th tr tr th th th th th 1 th tr table References Citation last1 Bombieri first1 Enrico author1 link Enrico Bombieri last2 Swinnerton Dyer first2 H. P. F. author2 link Peter Swinnerton Dyer title On the local zeta function of a cubic threefold url http www.numdam.org item?id ASNSP 1967 3 21 1 1 0 id MathSciNet id 0212019 year 1967 journal Ann. Scuola Norm. Sup. Pisa 3 volume 21 pages 1 29 Citation doi 10.2307 1970801 last1 Clemens first1 C. Herbert last2 Griffiths first2 Phillip A. title The intermediate Jacobian of the cubic threefold id MathSciNet id 0302652 year 1972 journal Annals of Mathematics Annals of Mathematics. Second Series issn 0003 486X volume 95 pages 281 356 issue 2 publisher Annals of Mathematics jstor 1970801 citation authorlink Gino Fano first G. last Fano title Sul sisteme &infin sup 2 sup di rette contenuto in une variet cubica generale dello spacio a quattro dimensioni journal Atti R. Accad. Sci. Torino volume 39 year 1904 pages 778 792 eom id f f038210 first Vik.S. last Kulikov Citation last1 Murre first1 J. P. title Algebraic equivalence modulo rational equivalence on a cubic threefold url http www.numdam.org item?id CM 1972 25 2 161 0 id MR 0352088 year 1972 journal Compositio Mathematica issn 0010 437X volume 25 pages 161 206 Category Algebraic surfaces Category Complex surfaces ... more details
Infobox Football biography 2 playername Johan Fano image fullname Johan Javier Fano Espinoza cityofbirth Hu nuco countryofbirth Peru height height m 1.78 position Forward association football Striker currentclub Universitario de Deportes Universitario clubnumber 17 years1 1995 clubs1 Le n de Hu nuco caps1 16 goals1 3 years2 1996 1997 clubs2 Uni n Minas caps2 1 goals2 6 years3 1998 clubs3 Alcides Vigo caps3 10 goals3 4 years4 1999 clubs4 Deportivo Wanka Deportivo Pesquero caps4 20 goals4 7 years5 2000 clubs5 Sport Boys caps5 31 goals5 7 years6 2001 clubs6 Uni n Minas caps6 16 goals6 9 years7 2001 clubs7 Sport Boys caps7 16 goals7 8 years8 2002 clubs8 Alianza Lima caps8 3 goals8 1 years9 2003 2004 clubs9 Coronel Bolognesi caps9 65 goals9 40 years10 2005 2006 clubs10 Alianza Lima caps10 44 goals10 7 years11 2006 clubs11 Coronel Bolognesi caps11 14 goals11 6 years12 2007 clubs12 Universitario de Deportes caps12 39 goals12 40 years13 2008 2009 clubs13 Once Caldas caps13 66 goals13 35 years14 2010 clubs14 Atlante F.C. Atlante caps14 31 goals14 19 years15 2011 clubs15 Universitario de Deportes ... 9 nationalgoals1 3 pcupdate 22 June 2010 UTC ntupdate 20 June 2010 UTC Johan Javier Fano Espinoza ... 5, 1995 playing for Le n de Hu nuco. Fano has played for many Peruvian football clubs throughout ... vian forward from Colombia n club Once Caldas on a one year deal. International career Fano has ... recintlp.html date 2009 05 28 ref Fano scored his first international goal for Peru national football ... www.delgol.com fano default.asp Delgol profile nfteams 24213 Primera Divisi n de M xico top scorers Universitario de Deportes squad Persondata Metadata see Wikipedia Persondata . NAME Fano, Johan ALTERNATIVE ... PLACE OF DEATH DEFAULTSORT Fano, Johan Category 1978 births Category Living people Category Peruvian ... footballers in Mexico Category Peruvian expatriates in Mexico ar es Johan Fano fr Johan Fano it Johan Fano pl Johan Fano qu Johan Fano ... more details
Infobox airport name Fano Airport nativename nativename a nativename r image image width caption IATA ICAO LIDF FAA LID type Public owner operator owner oper city served location Fano, Italy elevation f elevation m coordinates Coord 43 49 25.62 N 013 01 32.09 E type airport website metric elev metric rwy r1 number r1 length f r1 length m r1 surface stat year stat1 header stat1 data stat2 header stat2 data footnotes Source World Aero Data http worldaerodata.com wad.cgi?id AG70333&sch LIDF Location map Italy label Fano Airport marksize 6 mark Red pog.svg lat dir N lat deg 43 lat min 49 lat sec 25 lon dir E lon deg 013 lon min 01 lon sec 32 position right width 200 float right caption Location of Fano Airport, Italy Fano Airport is an airport in Italy airport codes LIDF . located 1 km southeast of Fano and 10 km northwest of Mondolfo in the province of Pesaro and Urbino in the Marche region of Italy . The airport is used for general aviation, with no commercial airline service. World War II During World War II Fano Airfield was built by the United States Army Corps of Engineers as a temporary wartime airfield with a hard earth or Marsden Matting pierced steel planking PSP runway and parking apron. With few or no permanent structures, tents were used for ground support operations and personnel billeting. It was used as an operational airfield by the USAAF Twelfth Air Force Twelfth and Fifteenth Air Force s in late 1944 and in 1945 until the end of the war. With the withdrawal of the US forces, the facility was turned over to the local government in late 1945. Units assigned 79th Fighter Group , 5 December 1944 20 March 1945 P 47 Thunderbolt 310th Bombardment Group , 7 April 12 August 1945 B 25 Mitchell 57th Air Division 57th Bombardment Wing , 7 April September 1945 306th Fighter Wing, 5 March 15 July 1945 References AFHRA Maurer, Maurer. Air Force Combat Units of World ... of the United States Army Air Forces in Italy it Aeroporto di Fano ms Lapangan Terbang Fano ... more details
In information theory , Fano s inequality also known as the Fano converse and the Fano lemma relates the average information lost in a noisy channel to the probability of the categorization error. It was derived by Robert Fano in the early 1950s while teaching a Ph.D. seminar in information theory at MIT , and later recorded in his 1961 textbook. It is used to find a lower bound on the error probability of any decoder as well as the lower bounds for minimax risk s in density estimation . Fano s inequality Let the random variables X and Y represent input and output messages out of r 1 possible messages with a joint probability math P x,y math . Fano s inequality is math H X Y leq H e P e log r , math where math H left X Y right sum i,j P x i,y j log P left x i y j right math is the conditional entropy , math P e sup i sum j not i P y j x i math is the probability of the communication error, and math H e P e log P e 1 P e log 1 P e math is the corresponding Binary entropy function binary entropy . Alternative formulation Let X be a random variable with probability density density equal to one of math r 1 math possible densities math f 1, ldots,f r 1 math . Furthermore, the Kullback Leibler divergence between any pair of densities can not be too large, math D KL f i f j leq beta math for all math i not j. math Let math psi X in 1, ldots, r 1 math be an estimate of the index. Then math sup i P i psi X not i geq 1 frac beta log 2 log r math where math P i math is the probability induced by math f i math Generalization The following generalization is due to Ibragimov and Khasminskii ..., 1987. ISBN 0 8176 3365 0, ISBN 3 7643 3365 0. R. Fano, Transmission of information a statistical theory of communications. Cambridge, Mass., M.I.T. Press, 1961. ISBN 0 262 06001 9 R. Fano, http www.scholarpedia.org article Fano inequality Fano inequality Scholarpedia , 2008. I. A. Ibragimov, R. Z ... fr In galit de Fano it Disuguaglianza di Fano ... more details
File Fano plane.svg thumb The Fano plane In finite geometry , the Fano plane after Gino Fano is the finite geometry finite projective plane with the smallest possible number of points and lines 7 each. Homogeneous coordinates The Fano plane can be constructed via linear algebra as the projective plane over the finite field with two elements. One can similarly define projective planes over any other finite field, with the Fano plane being the smallest. Using the standard construction of projective spaces via homogeneous coordinates , the seven points of the Fano plane may be labeled with the seven non zero ordered triples of binary digits 001, 010, 011, 100, 101, 110, and 111. This can be done in such a way that for every two points p and q , the third point on line pq has the label formed by adding the labels of p and q modulo 2. In other words, the points of the Fano plane correspond to the non ... of the Fano plane may also be given homogeneous coordinates, again using non zero triples of binary ... bits. Symmetries A permutation of the seven points of the Fano plane that carries incidence geometry ... to B , B to C , C to the 3rd point on AC , D to 3rd point on BD , etc. Configurations The Fano ... a point and a line that are not incident to each other, and six ways of permuting the Fano plane ... sub 2 sub sup 3 sup is that of the Fano plane, and has order 168. Block design theory The Fano plane ... example in block design theory. Matroid theory Main article Matroid theory The Fano plane is one of the important examples in the structure theory of matroid s. Excluding the Fano ..., graphic, and cographic ones. Steiner system The Fano plane can be given the structure of a quasigroup ... of lines and models of Lie algebras volume 304 year 2006 . MathWorld title Fano Plane urlname FanoPlane planetmath reference id 3510 title Finite plane and Fano plane See also Incidence ... rovina de Fano Ebene es Plano de Fano fr Plan de Fano it Piano di Fano nl Fano vlak ... more details
Jacob ben Joab Elijah da Fano was an Italian rabbi and Hebrew poet he lived at Ferrara and Ancona about the middle of the sixteenth century. He was the teacher of Abraham Portaleone . Works He wrote Shil e ha Gibborim, a rhythmical poem warning men against women, and inah, an elegy in verse on the persecution of the Jews at Ancona, published together at Ferrara, 1556 Zoker ha Berit, a treatise on the commandments, which formed the first part of his Peta Ti wah, no longer extant. He is generally supposed to have been the author of the i ur obot ha Lebabot, Venice, 1655, a compendium of Ba ya s obot ha Lebabot. References Zunz , in Geiger s Wiss. Zeit. J d. Theol. iii. 56 Franz Delitzsch , Zur Gesch. der Hebr ischen Poesie, p. 173 Steinschneider , Cat. Bodl. col. 1210 Fuenn , Keneset Yisrael, p. 561 External links http www.jewishencyclopedia.com view.jsp?artid 38&letter F 105 Source JewishEncyclopedia DEFAULTSORT Fano, Jacob Category Italian rabbis Category Hebrew language poets Category 16th century rabbis ... more details
Use dmy dates date January 2011 Football club infobox clubname Fano image Image Alma Juventus Fano.jpg 100px fullname Alma Juventus Fano 1906 nickname Granata The Dark reds founded 1906 ground Stadio Raffaele Mancini , br Fano , Italy capacity 8,800 chairman Alberto Caverni manager Giovanni Cornacchini league Lega Pro Seconda Divisione Lega Pro Seconda Divisione B season 2009 10 Lega Pro Seconda Divisione 2009 10 position Lega Pro Seconda Divisione B, 4th pattern la1 pattern b1 thinwhitesides pattern ra1 leftarm1 8D0000 body1 8D0000 rightarm1 8D0000 shorts1 8D0000 socks1 8D0000 pattern la2 pattern b2 unknown pattern ra2 leftarm2 FFFFFF body2 FFFFFF rightarm2 FFFFFF shorts2 FFFFFF socks2 FFFFFF Image Fano Calcio logo.png thumb right 120px Old club logo. Alma Juventus Fano 1906 is an Football in Italy Italian association football club located in Fano , Marche. It currently plays in Lega Pro Seconda Divisione . The club was founded in 1906. The club plays home matches at the Raffaele Mancini Stadium in Fano , which has a capacity of 8,800 spectators. The club color is dark amaranthine. External links it icon http www.fanocalcio.com Official homepage it icon http www.panthersfano.it Panthers Fano Funsite Lega Pro Seconda Divisione Football in Italy Italy footyclub stub DEFAULTSORT Fano Category Italian football clubs Category Football clubs in the Marche Category Association football clubs established in 1906 Category Lega Pro Prima Divisione clubs Category Lega Pro Seconda Divisione clubs es Fano Calcio fr Alma Juventus Fano it Alma Juventus Fano 1906 ... more details
Ezra ben Isaac Fano was Rabbi of Mantua and cabalist who lived in the 16th and 17th centuries. Fano was a pupil of the cabalist Israel Saru , and among his own pupils were Menahem Azariah da Fano , Jacob the Levite , and Issachar Baer Eulenburg . On 14 July 1591, Fano received the title of Chief Rabbi Laureate of Mantua. He was the possessor of valuable manuscripts, some of which he edited and annotated. He published, under the title of Sefer Mishpe e Shebu ot Venice, 1602 , a collection of small treatises by Hai Gaon . In conjunction with Me r of Padua , he edited a manuscript of the Midrash Tan uma , adding a preface, an index, and three tables of practical decisions Mantua, 1613 . His decisions were published in Moses Porto s Palge Mayim p. 28b and in the collection entitled Mashbit Mil amot p. 32b . MS. No. 130 in the Codices Hebraic. Biblioth. I. B. de Rossi Parma, 1803 contains a collection of letters written to Fano by Mordecai Dato and Joseph aza Cod. 130 , and Joseph Gikatilla s Sefer ha Ora , with a description by Fano Cod. 1228 . Fano also wrote notes to many cabalistic works. Jewish Encyclopedia bibliography Zunz , in Kerem emed, vii.122 Graziadio Nepi Mordecai Ghirondi , Toledot Gedole Yisrael , p. 282, 289 Marco Mortara , Indice , p. 21. External links http www.jewishencyclopedia.com view.jsp?artid 38&letter F&search Ezra 20of 20Fano 99 Jewish Encyclopedia article for Ezra ben Isaac Fano References JewishEncyclopedia Persondata Metadata see Wikipedia Persondata . NAME Fano, Ezra ben Isaac ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Fano, Ezra ben Isaac Category Italian rabbis Category 16th century births Category 17th century deaths Category 16th century rabbis Category 17th century rabbis Category People from Mantua Category Kabbalists Kabbalah stub Rabbi stub ... more details
Menahem Azariah da Fano also called Immanuel da Fano, and Rema MiPano 1548, Fano &ndash Mantua , 1620 was an Italian rabbi , Talmud ist, and Kabbalah Kabbalist . Life He was a disciple of Rabbi Moses Cordovero , to whose widow he offered 1,000 sequin s for her husband s manuscripts. Even as a youth Fano had some reputation for learning, as is shown by the fact that Moses Cordovero d. 1570 sent him a copy of his Pardes Rimmonim . Another one of Fano s teachers was Ishmael anina b. Mordecai of Valmontone . Fano was a patron of learning. When Rabbi Joseph Caro , shortly before his death 1575 , sent Kesef Mishneh , his commentary on Maimonides Yad ha aza ah , to Mantua for publication, Fano, at the suggestion of Dei Rossi , assumed part of the expense and took charge of the edition. According to a report of Immanuel Aboab , Fano lived for some time in Reggio Emilia . Numerous pupils flocked ... of Fano s sons was Isaac Berechiah and the same name was borne also by Fano s son in law and pupil mentioned in a letter of Israel Sforno to his son Obadiah ben Israel Sforno . Works Fano s authority ... and brevity Fano compiled a book of extracts from Alfasi s code, which itself is only a compendium ... treatises by Fano, part being in manuscript. Ten of these are comprised in the work Asarah Ma amarot ... of Fano s decided tendency toward scholastic and allegoric interpretation, his works are not devoid ... the sympathy of all. In 1581 Jedidiah Recanati dedicated to Fano his Italian translation Erudizione dei Confusi of Maimonides Moreh Nebukim. Isaiah Hurwitz especially mentions Fano s treatise Yonat ... , introduction to Nobelot okmah . Fano s pupil Samuel Portaleone composed an elegy on the occasion ... F Source JewishEncyclopedia DEFAULTSORT Fano, Menahem Azariah Category 1548 births Category 1620 ... rabbis Category Kabbalists de Menachem Asarja da Fano fr Menahem Azariah da Fano it Menahem Azariah da Fano he ... more details
Summary Information Description Shannon Fano coding Shannon Fano tree generated from small set of alphabet Author The author is form German Wikipedia Benutzer Andreas.Roever Andreas.Roever Source The image can be found in German Wikipedia de Bild ShannonCodeAlg.png Data 11 21 AM 9 13 2007 Convert to SVG and copy to Wikimedia Commons Licensing GFDL migration relicense ... more details
Non free media rationale Description Logo of Fano Calcio S.S.D. Fano C.S.S.D. football club. Source fanocalcio.it Portion It is necessary to use the whole logo. Resolution Width is lower than 300px. Article Fano Calcio S.S.D. Purpose To identify the club and its crest. Replaceability Cannot be replaced with a copyright free alternative. other information Licensing Non free logo Italian football logos History of Image Fano Calcio logo.gif 2008 09 11T03 34 16Z User FairuseBot FairuseBot User talk FairuseBot Talk Special Contributions FairuseBot contribs 431 bytes nowiki Updating link to bypass a redirect or disambiguation page nowiki 2008 05 15T16 52 46Z User Palomar Palomar User talk Palomar Talk Special Contributions Palomar contribs 407 bytes 2007 12 18T21 26 14Z User Polbot Polbot User talk Polbot Talk Special Contributions Polbot contribs 426 bytes nowiki Adding backlink Fano C.S.S.D. to rationale nowiki 2007 09 06T03 49 27Z User Mr.Z man Mr.Z man User talk Mr.Z man Talk Special Contributions Mr.Z man contribs 403 bytes nowiki Reverted edits by Special Contributions BetacommandBot BetacommandBot User talk BetacommandBot talk to last version by CapPixel nowiki 2007 09 06T02 27 36Z User BetacommandBot BetacommandBot User talk BetacommandBot Talk Special Contributions BetacommandBot contribs 477 bytes nowiki tagging as tl dfu per WP NONFREE nowiki 2007 08 29T18 47 12Z User CapPixel CapPixel User talk CapPixel Talk Special Contributions CapPixel contribs 403 bytes nowiki Non free media rationale Description Logo of Fano C.S.S.D. football club. Source fanocalcio.it Portion It is necessary to use the whole logo. Resolution Width is lower than 300px. Purpose To identify the club and its crest. Replaceability Can nowiki ... more details
In the field of data compression , Shannon Fano coding , named after Claude Elwood Shannon and Robert Fano , is a technique for constructing a prefix code based on a set of symbols and their probabilities ... 1948 article introducing the field of information theory . The method was attributed to Fano, who later published it as a technical report . ref harvnb Fano 1949 ref Shannon Fano coding should not be confused ... Fano Elias coding also known as Elias coding , the precursor to arithmetic coding . In Shannon Fano coding, the symbols are arranged in order from most probable to least probable, and then divided ... Fano does not always produce optimal prefix codes the set of probabilities 0.35, 0.17, 0.17, 0.16, 0.15 is an example of one that will be assigned non optimal codes by Shannon Fano coding. For this reason, Shannon Fano is almost never used Huffman coding is almost as computationally simple and produces ... either Huffman or Shannon Fano, since it can encode in fractional numbers of bits which more closely ... Huffman the way that Huffman supersedes Shannon Fano, both because arithmetic coding is more computationally expensive and because it is covered by multiple patents. Shannon Fano coding is used ... the encoding of the sliding dictionary output, using multiple Shannon Fano trees. ref Shannon Fano Algorithm A Shannon Fano tree is built according to a specification designed to define an effective .... Example Image ShannonCodeAlg.svg right thumb 300px Shannon Fano Algorithm The example shows the construction ... Main Huffman coding The Shannon Fano algorithm doesn t always generate an optimal code. In 1952 ... probabilities. While the Shannon Fano tree is created from the root to the leaves, the Huffman algorithm ... Huffman Algorithm Using the same frequencies as for the Shannon Fano example above, viz class wikitable ... R.M. last Fano title The transmission of information work Technical Report No. 65 year 1949 publisher ... http www.binaryessence.com dct en000041.htm Shannon Fano at Binary Essence Compression Methods Category ... more details
Wigner or a Fano resonance Fano profile in the corresponding cross section. Both resulting T matrix ... Fano Partitioning Category Scattering theory ... more details
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