Distinguish mile Borel Infobox scientist name Armand Borel image Armand Borel.jpg image size caption Armand Borel in Bonn, 1967. birth date Birth date 1923 5 21 df y birth place La Chaux de Fonds , Switzerland ... awards religion signature filename only footnotes Armand Borel 21 May 1923 &ndash 11 August 2003 was a Switzerland ... subgroups . In an algebraic group G a Borel subgroup H is one minimal with respect to the property that the homogeneous ... Solvable group solvable subgroup , and that the Borel subgroup parabolic subgroups P between H and G ... s . Both those aspects generalize, and play a central role in the theory. The Borel Moore homology ... . He died in Princeton. He used to answer the question of whether he was related to mile Borel alternately .... Oeuvres IV, p. 452 See also Borel Bott Weil theorem Borel conjecture Borel fixed point theorem Publications Citation last1 Borel first1 Armand author1 link Armand Borel title Seminar on transformation ... Studies, No. 46 year 1960 mr 0116341 Citation last1 Borel first1 Armand author1 link Armand Borel title ... 10.1007 BFb0097851 year 1964 volume 2 mr 0174045 Citation last1 Borel first1 Armand author1 link Armand Borel editor1 last Halpern editor1 first Edward title Topics in the homology theory of fibre bundles ... doi 10.1007 BFb0096867 year 1967 volume 36 mr 0221507 Citation last1 Borel first1 Armand author1 link Armand Borel title Introduction aux groupes arithm tiques publisher Hermann location Paris .... Actualit s Scientifiques et Industrielles, No. 1341 year 1969 mr 0244260 Citation last1 Borel first1 Armand author1 link Armand Borel title Repr sentations de groupes localement compacts publisher ... year 1972 volume 276 mr 0414779 Citation last1 Borel first1 Armand author1 link Armand Borel title ... last1 Borel first1 Armand author1 link Armand Borel title Intersection cohomology origyear 1984 url ... Modern Birkh user Classics isbn 978 0 8176 4764 3 year 2008 mr 0788171 Citation last1 Borel first1 Armand author1 link Armand Borel last2 Grivel first2 P. P. last3 Kaup first3 B. last4 Haefliger first4 ... more details
File Daniel Borel in 2008.jpg thumb Daniel Borel in 2008 Daniel Borel born February 14, 1950 ref name ForbesBio Citation needed date February 2010 is a Switzerland Swiss ref name NestleBio cite web url http www.nestle.com AllAbout Governance NestleManagement AllCvs BoardDirectors DanielBOREL.htm title Daniel Borel Nestle Board of Directors Bio publisher Nestle accessdate 13 February 2010 ref businessman and co founder of Logitech . In 1973 Daniel Borel earned an engineering degree in Physics from the cole Polytechnique F d rale de Lausanne in Switzerland, ref name BWBio and in 1977 received a Master of Science degree in Computer Science in 1977 from Stanford University . ref name ForbesBio cite web url http people.forbes.com profile daniel borel 49987 title Daniel Borel Profile Forbes publisher Forbes accessdate 13 February 2010 ref ref name BWBio Borel co founded Logitech at his father in law s farm in 1981 with Pierluigi Zappacosta and Giacomo Marini . ref name swissInfo cite news url http www.swissinfo.ch eng Mouse maker reveals how niche players succeed.html?cid 5136766 title Mouse maker reveals how niche players succeed last Allen first Matthew date April 20, 2006 publisher swissinfo accessdate 13 February 2010 location Switzerland ref He served as Logitech s Chairman 1982 to 2008, and served as the company s CEO from 1982 to 1988, ref name NestleBio ref name BWBio cite web ...&ticker LOGN VX&previousCapId 388005&previousTitle Logitech 20International 20S 20A title Daniel Borel ... us,en title Daniel Borel Executive Bios publisher Logitech accessdate 13 February 2010 ref and on the Nasdaq ... NestleBio Borel currently serves on the board of directors of Logitech and Nestl . ref name NestleBio ... Persondata . NAME Borel, Daniel ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 14 February 1950 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Borel, Daniel Category 1950 births Category ... alumni Switzerland bio stub de Daniel Borel fr Daniel Borel ru , ... more details
quote box align right width 33 quote Borel, then an unknown young man, discovered that his summation .... Mittag Leffler listened politely to what Borel had to say and then, placing his hand upon the complete ... Mark Kac , quoted by harvtxt Reed Simon 1978 p 38 In mathematics, Borel summation is a summation method for divergent series , introduced by harvs txt first mile last Borel year 1899 authorlink mile Borel . There are several variations of this method that are also called Borel summation. Definition Let math y z sum k 0 infty y kz k math be a formal power series in z . Define the Borel ... Suppose that the Borel transform converges to an analytic function near 0 that can be analytic continuation ... that the following integral is well defined as an improper integral . Then the Borel sum of y is given by math int 0 infty e t mathcal B y tz , dt. math A slightly weaker form of Borel s summation method gives the Borel sum of y as math lim t rightarrow infty e t sum n frac t n n cdot sum k le ... &minus z for z 1. The Borel transform is math mathcal B y t sum k 0 infty frac 1 k t k e t. math So the Borel sum is math int 0 infty e t mathcal B y tz , dt int 0 infty e t e tz , dt ... z k math does not converge for any nonzero z . The Borel transform is math mathcal B y t sum k 0 infty ... 0. So the Borel sum is math int 0 infty e t mathcal B y tz , dt int 0 infty frac e t 1 tz ... is Borel summable for all such z . This function has an asymptotic expansion as z tends to 0 that is given by the original divergent series. This is a typical example of the fact that Borel summation will sometimes correctly sum divergent asymptotic expansions. The Borel polygon The region where the power series of an analytic function is Borel summable was described as follows by Borel and Phragmen ... of the origin then it has a Borel sum at some point z if it can be analytically continued to a disc ... 0 z then it is Borel summable at z . The set of points z such that the function can be analytically ... more details
Use dmy dates date July 2011 Infobox football biography name Pascal Borel fullname image height height m 1.92 birth date Birth date and age 1978 9 26 df y birth place Karlsruhe , Germany position Goalkeeper association football Goalkeeper currentclub RB Leipzig clubnumber 33 youthyears1 1983 1996 youthclubs1 Germania Friedrichstal youthyears2 1997 1997 youthclubs2 SV Waldhof Mannheim Waldhof Mannheim years1 1997 1998 clubs1 SV Waldhof Mannheim Waldhof Mannheim caps1 3 goals1 0 years2 1998 2002 clubs2 SV Werder Bremen II Werder Bremen II caps2 120 goals2 0 years3 2000 2005 clubs3 SV Werder Bremen Werder Bremen caps3 32 goals3 0 years4 2005 2006 clubs4 Rot Weiss Ahlen LR Ahlen caps4 14 goals4 0 years5 2007 2008 clubs5 Budapest Honv d FC Budapest Honv d caps5 8 goals5 0 years6 2009 2011 clubs6 PSFC Chernomorets Burgas Chernomorets Burgas caps6 60 goals6 0 years7 2011 clubs7 RB Leipzig caps7 ... B nationalcaps2 1 nationalgoals2 0 pcupdate 21 January 2012 Pascal Borel born 26 September 1978 ... vereinsspieler pascal borel.html title Borel, Pascal language German publisher kicker.de accessdate 9 January 2011 ref In 1999, Borel earned two caps for Germany at the U 21 level. Career Borel played ... appearances playing in the Hungarian League . In March 2009, Borel signed with PFC Chernomorets Burgas ... in a match against Lokomotiv Sofia . Borel quickly became part of the main team and on 28 ... chernomoretz.bg title Borel with new contract accessdate 28 May 2009 ref He left the club in 10 June ... Reflist External links http www.transfermarkt.de de spieler 522 pascal borel profil.html Pascal Borel at transfermarkt.de de icon Fussballdaten borelpascal Pascal Borel RB Leipzig squad Persondata Metadata see Wikipedia Persondata . NAME Borel, Pascal ALTERNATIVE NAMES SHORT DESCRIPTION German footballer ... DEFAULTSORT Borel, Pascal Category 1978 births Category Living people Category German footballers ... de Pascal Borel hu Pascal Borel pl Pascal Borel ... more details
In mathematics , specifically geometric topology , the Borel conjecture asserts that an Aspherical space aspherical closed manifold is determined by its fundamental group , up to homeomorphism . It is a Rigidity mathematics rigidity conjecture, demanding that a weak, algebraic notion of equivalence namely, a homotopy homotopy equivalence imply a stronger, topological notion namely, a homeomorphism . Precise formulation of the conjecture Let math M math and math N math be closed manifold closed and Aspherical space aspherical topological manifold s, and let math f M to N math be a homotopy homotopy equivalence . The Borel conjecture states that the map math f math is homotopic to a homeomorphism . Since aspherical manifolds with isomorphic fundamental groups are homotopy equivalent, the Borel conjecture implies that aspherical closed manifolds are determined, up to homeomorphism, by their fundamental groups. This conjecture is false if topological manifold s and homeomorphisms are replaced by smooth manifold s and diffeomorphism s counterexamples can be constructed by taking a connected sum with an exotic sphere . The origin of the conjecture In a May 1953 letter to Jean Pierre Serre Serre web reference below , Armand Borel asked the question whether two aspherical manifolds with isomorphic ... manifold s is homotopic to an isometry in particular, to a homeomorphism. The Borel conjecture is a topological .... Relationship to other conjectures The Borel conjecture implies the Novikov conjecture for the special ... to math S 3 math . This is not a special case of the Borel conjecture, because math S 3 math is not aspherical. Nevertheless, the Borel conjecture for the Torus 3 torus math T 3 S 1 times S 1 times S 1 math implies the Poincar conjecture for math S 3 math . References F.T. Farrell, The Borel ... aar surgery borel.pdf The birth of the Borel conjecture , Extract from letter from Armand BorelBorel to Jean Pierre Serre Serre , 2nd May, 1953 Category Geometric topology Category Homeomorphisms ... more details
Borel is a former settlement in Kern County, California Kern County , California . ref name CGN It was located convert 2.5 mi km 0 southwest of Vaughn, California Vaughn . ref name CGN California s Geographic Names 1005 ref A post office operated at Borel from 1904 to 1908. ref name CGN The name comes from the Borel Canal Construction Company . ref name CGN References reflist Kern County, California coord missing Kern County, California Category Former settlements in Kern County, California Category Former populated places in California KernCountyCA geo stub ... more details
Infobox football biography name Aldo Borel fullname Aldo Giuseppe Borel image birth date birth date 1912 5 30 birth place Nice , France height height m 1.82 currentclub clubnumber position Midfielder youthyears1 youthclubs1 years1 1929 1931 years2 1931 1932 years3 1932 1933 years4 1933 1935 years5 1935 1938 years6 1938 1939 years7 1939 1940 years8 1940 1941 clubs1 Torino F.C. Torino clubs2 A.S. Casale Calcio Casale clubs3 ACF Fiorentina Fiorentina clubs4 U.S. Citt di Palermo Palermo clubs5 Juventus F.C. Juventus clubs6 Novara Calcio Novara clubs7 Savona 1907 F.B.C. Savona clubs8 Omegna Sportiva Omegna caps1 2 caps2 32 caps3 16 caps4 34 caps5 37 caps6 12 caps7 15 goals1 1 goals2 16 goals3 9 goals4 12 goals5 7 goals6 1 goals7 9 nationalyears1 nationalteam1 nationalcaps1 nationalgoals1 manageryears1 managerclubs1 pcupdate ntupdate Aldo Giuseppe Borel born May 30, 1912 in Nice , France was an Italy Italian professional Association football football player. His younger brother Felice Borel won the 1934 FIFA World Cup with Italy national football team , and their father Ernesto Borel played for OGC Nice , AS Cannes and Juventus F.C. in the 1900s and 1910s. To distinguish the brothers, Aldo was known as Borel I and Felice as Borel II . External links http www.playerhistory.com player 94379 Career summary by playerhistory.com Persondata Metadata see Wikipedia Persondata . NAME Borel, Aldo ALTERNATIVE NAMES SHORT DESCRIPTION Italian footballer DATE OF BIRTH May 30, 1912 PLACE OF BIRTH Nice , France DATE OF DEATH February 28, 1979 PLACE OF DEATH Spain DEFAULTSORT Borel, Aldo Category 1912 births Category Year of death missing Category Italian footballers Category Serie A footballers Category Torino F.C. players Category A.S. Casale Calcio players Category ACF Fiorentina players Category U.S. Citt di Palermo players Category Juventus F.C. players Category Novara Calcio players Italy footy midfielder 1910s stub fr Aldo Borel it Aldo Giuseppe Borel ... more details
Infobox Company name Ernest Borel logo type foundation 1856 location city Le Noirmont location country Switzerland location modifies Headquarters entry locations of locations key people M.Jules Borel, Entrepreneur Founder area served industry Watch manufacturing products Wristwatches services revenue operating income net income num employees parent divisions subsid slogan Romance in heart homepage http www.ernestborel.ch dissolved footnotes intl yes Enter yes to change labels to international instead of US terminology Ernest Borel is a watch manufacturer founded in 1856 in Neuchatel, Switzerland. They have traditionally focused on export markets outside Europe. They won several awards in the late 19th century, including first place in the 1866 Neuchatel observatory timing accuracy competition. This was viewed by the company as an important marketing strategy for increasing the brand s value, since the Neuchatel observatory was famed at the time for its timekeeping accuracy. In 1876 they were ... Borel family until 1975 when, owing to the Quartz crisis affecting the entire Swiss watchmaking industry ... Cyma and Doxa S.A. Doxa . Ernest Borel SA is headquartered at their new factory premises at Le Noirmont ... Borel is Mr Raphael Bouillat, who has been at the helm of the company since 1997. Products Ernest Borel currently produces traditionally styled automatic and quartz movement wrist watches for men .... The manufacturer s life time warranty on movements sets Ernest Borel apart from most competitors ... range from the low hundreds of USD up to the mid thousands of USD. Ernest Borel appears to be focussing their marketing on China at present, with the opening of a dedicated Ernest Borel shop in Beijing ... main Ernest Borel football Ernest Borel sponsored a football soccer football team which played in Hong ...? archives 24 Review of the Ernest Borel Deep Blue automatic.html http www.thewatchplaceonline.com ernest borel.htm DEFAULTSORT Borel, Ernest Category Watch manufacturing companies of Switzerland ... more details
living people see WP NONFREE name Calvin Borel caption occupation Jockey birth place St. Martin ... , br Miss Isella , Super Saver horse Super Saver Calvin H. Borel born November 7, 1966 is an United ... Derby win with Mine That Bird was the second biggest upset in Derby history behind Donerail , and Borel ... won by 8 lengths in 1946. On May 1, 2009, Borel won the Kentucky Oaks aboard Rachel Alexandra ... Rail hugging rides are Borel s signature Kentucky Derby publisher Kentucky.com date 2009 05 05 accessdate 2010 05 02 ref On May 16, 2009, Borel won the 2009 Preakness Stakes at Pimlico Race Course Pimlico with thoroughbred filly Rachel Alexandra . In doing so, Borel became the first jockey to win the first ... mounts. Borel s nickname is Bo rail because he stays so close to the rail to save ground. Life and career Calvin Borel hails from south Louisiana the heart of Cajun Country, and famous for having produced ... , and Shane Sellers , Borel began racing horses in the bush track s near his hometown of Catahoula. Borel began riding in match races at the age of eight. ref cite web url http sports.espn.go.com sports horse triplecrown09 news story?id 4231703 title A day in the life of Calvin Borel ESPN ... interview after all three Kentucky Derby wins. Calvin Borel s older brother, Cecil, had a brief ... career at Delta Downs. Over a career that has spanned 25 years, Borel has become known for his ... bios.aspx?id 21093 title Calvin Borel NTRA publisher Web.archive.org date accessdate 2010 05 03 archiveurl ... Kentucky Derby 135 publisher Replay.web.archive.org date accessdate 2011 05 18 ref Borel is height ft ... Cup on Street Sense in the Breeders Cup Juvenile . Borel s first significant career win came in the 2007 ... . On July 5, 2007, Borel became the sixth jockey in the history of Churchill Downs to win six races on a single race card. With his victory in the July 5, 2008 Bashford Manor Stakes , Calvin Borel became ... cite web url http sports.espn.go.com sports horse news story?id 3474800 title Borel hits 4,500 with 18 ... more details
Jacques Borel 17 December 1925, Paris &ndash 25 September 2002 is a France French author best known for his 1965 novel L Adoration translated into English as The Bond , which won the Prix Goncourt . ref cite news url http select.nytimes.com gst abstract.html?res F10914FA3D5D167A93C1AB178AD95F418685F9 title L Adoration by Jacques Borel Wins Goncourt Literary Prize date 22 November 1965 work The New York Times accessdate 26 January 2011 ref Bibliography L Adoration 1965 Tata ou De l Education 1967 Le Retour 1970 La D possession Journal de Ligen re 1973 Commentaires 1974 Un Voyage ordinaire 1975 Histoire de mes vieux habits 1979 Po sie et nostalgie 1979 Petite histoire de mes r ves 1981 L enfant voyeur 1987 L Attente. La Cl ture 1987 Sur les murs du temps 1989 Comm morations 1990 Le D ferlement 1993 Journal de la m moire 1994 Propos sur l autobiographie 1994 L Aveu diff r 1997 L Effacement 1998 Sur les po tes 1998 La Mort de Maximilien Lepage, acteur 2000 Ombres et dieux 2001 Rue de l exil 2002 References reflist Persondata Metadata see Wikipedia Persondata . NAME Borel, Jacques ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 17 December 1925 PLACE OF BIRTH DATE OF DEATH 25 September 2002 PLACE OF DEATH DEFAULTSORT Borel, Jacques Category 1925 births Category 2002 deaths Category Writers from Paris Category French novelists Category Prix Goncourt winners France writer stub el fr Jacques Borel crivain la Iacobus Borel ... more details
In mathematics , Borel s lemma is an important result about partial differential equation s named after mile Borel . Suppose math U math is an open set in the Euclidean space R sup n sup , and suppose that math f 0, f 1, ... math is a sequence of smooth function smooth , complex number complex valued function mathematics functions on math U math . Then there exists a smooth function math F F t,x math defined on R × math U math with complex values, such that math left frac partial k partial t k F right 0,x f k x , math for all math k 0,1,... math , and math x math in math U. math A constructive proof of this result is given in Golubitsky and Guillemin 1974 , and for a slightly different formulation of the problem, on the page of Non analytic smooth function Application to Taylor series non analytic smooth functions . References M. Golubitsky, V. Guillemin 1974 . Stable mappings and their singularities . Springer Verlag, Graduate texts in Mathematics Vol. 14. ISBN 0 387 90072 1. PlanetMath attribution title Borel lemma id 6185 Category Partial differential equations Category Lemmas Category Theorems in analysis eo Borela lemo fr Th or me de Borel ... more details
BLP sources date August 2010 Orphan date January 2010 Raymond Borel is a French Physician doctor , editor of the medical journal TONUS and one of the founders of M decins Sans Fronti res . Borel had founded an aid organization called Secours M dical Fran ais French Medical Relief in response to the 1970 Bhola cyclone . In December 1971, this group merged with Groupe d Intervention M dicale et Chirurgicale en Urgence , to form the single organization M dicins Sans Fronti res . ref cite web language fr title La cr ation de M decins Sans Fronti res L appel aux m decins Journal Tonus N 493, d cembre 1971 work msf.fr date 18 octobre 2004 url http www.medecinssansfrontieres.com site actu.nsf actus msfen1971 ref References references Persondata Metadata see Wikipedia Persondata . NAME Borel, Raymond ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Borel, Raymond Category M decins Sans Fronti res Category Living people Category Year of birth missing living people France med bio stub ... more details
orphan date May 2010 Cleanup date May 2009 Infobox presenter name Michelle Borel image Michelle Borel.jpg caption birth name birth date Birth year and age 1983 4 13 birth place Trinidad and Tobago death date death place show station network timeslot show2 station2 network2 timeslot2 style country prevshow parents spouse s children web Michelle Borel born 13 April 1983, Trinidad and Tobago is a radio personality, television host and producer. Her voice is known for its sweet, yet sultry sound and as a result has been used to launch popular local nightclub The Living Room, and other well supported brands and events like Temple of INK, Digicel, Unit Trust, Pizza Hut, Francis Fashions Shoe Locker, Seacrets and The Auto Guru among countless others. However, she s more than just a smooth easy to the ears kind of voice, as those who can track back twelve years to 1998 may remember Borel as a sound gyal with Rapid Response sound system. Later she left to form the first all female sound system in Trinidad and Tobago... Zephers , which she later gave up to rock it solo. tough enough for the streets yet subtle enough for between the sheets . Schooling and introduction to media Borel started her schooling at Dunross Preparatory, Westmoorings. In 1995, she moved on to St. Francois Girls College, Belmont after what was previously known as Common Entrance. At St. Francois Girls College she played an active role in many of the school s clubs drama, chess, language . It was at st. Francois Girls ... Borel s voice on a demo cassette suggested that she hosted an upcoming school event. After that, she ... female voices as the VOICE ID of several radio stations, and DJ s. Radio and TV Michelle Borel ... Borel got married in 2004 and has two children. She is a member of the Rotary Club, Port of Spain. External ... Wikipedia Persondata . NAME Borel, Michelle ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1983 04 13 PLACE OF BIRTH Trinidad and Tobago DATE OF DEATH PLACE OF DEATH DEFAULTSORT Borel, Michelle Category ... more details
Infobox NFL player name Diondre Borel image currentteam Green Bay Packers currentnumber 19 currentposition Wide receiver birth date Birthdate and age 1988 12 12 mf y birth place San Jose, California death date death place heightft 6 heightin 0 weight 199 highschool Freedom High School Oakley, California Freedom High School br San Jose, California college Utah State Aggies football Utah State undraftedyear 2011 debutteam Green Bay Packers finalyear finalteam pastteams nowiki nowiki Green Bay Packers NFL Year 2011 present status Practice squad highlights nowiki nowiki statweek statseason statlabel1 Receptions statvalue1 statlabel2 Receiving Yards statvalue2 statlabel3 Touchdowns Receiving TD s statvalue3 nflnew diondreborel 2530828 Diondre Borel born December 12, 1988 is an American football wide receiver who is currently a member of the practice squad of the National Football League s Green Bay Packers . He was undrafted, but signed as a free agent by the Packers and converted to wide receiver after playing both punter football punter and quarterback in college. He played college football at Utah State Aggies Utah State University . References Reflist External links http www.packers.com team roster Diondre Borel 224012ef 4ea5 4e8e a0c6 6449950578bf Green Bay Packers bio http www.utahstateaggies.com sports m footbl mtt borel diondre00.html Utah State Aggies bio Utah State Aggies quarterback navbox Green Bay Packers roster navbox Persondata NAME Borel, Diondre ALTERNATIVE NAMES SHORT DESCRIPTION American college football player, professional football player, wide receiver DATE OF BIRTH December 12, 1988 PLACE OF BIRTH San Jose, California, United States DATE OF DEATH PLACE OF DEATH DEFAULTSORT Borel, Diondre Category 1988 births Category Living people Category People from San Jose, California Category American football quarterbacks Category American football wide receivers Category Utah State Aggies football players Category Green Bay Packers players ... more details
Infobox mass murderer name Eric Borel image Eric Borel.jpg image size caption birthname Eric Borel occupation ... LR rifle br Hammer Eric Borel 11 December 1978 &ndash 24 September 1995 was a France French student ..., whereupon Borel committed suicide. Biography Childhood Eric Borel was the son of Marie Jeanne Parenti and Jacques Borel, who were both working in the military at the time of his birth. However, their liaison ... language German , Der Spiegel 41 1995 ref Borel s mother, an authoritarian and &ndash at least outwardly ..., shivering from pain. In this type of situation, Borel, who was known as a quiet and taciturn boy ... . ref name spiegel Later years and motive Until his death, Eric Borel attended the Lyc e Lyc.C3.A9e ... dossier ref name Ind29 Borel had one friend, 17 year old Alan Guillemette, a classmate who was rather ... Borel s stepfather had attended several meetings of the National Front France Front National in 1989 ... on September 23, 1995 at about 6 00 p.m. Coordinated Universal Time CET , when Borel killed his ... Borel tried to run away from home. Subsequently to killing Bichet, Borel assaulted his half brother ..., Borel waited for his mother to come home. ref name dossier ref name Ind29 As soon as his mother, Marie Jeanne Parenti, arrived at home from church at about 8 30 p.m., Borel immediately killed her with a single ... 25, 1995 ref When his mother lay dead, Borel once again started to clean the house from blood, covered ... September 26, 1995 ref and armed with his father s rifle and his pockets full of ammunition, Borel ... information. The absence of Eric Borel remained undetected until about three hours later. ref name spiegel ... On the following day at 7 15 a.m., Borel arrived at the home of his friend Alan Guillemette and when ..., Borel started shooting people at random. No one grew suspicious of his rifle until it was too ... Borel injured an elderly woman who was walking in the streets with her husband and shot and wounded ... through an open window, were eventually lethal. He later died in a hospital. Borel crossed the street ... more details
NOTOC This article is a part of Wikipedia WikiProject Aircraft . Please see Wikipedia WikiProject Aircraft page content for recommended layout. Infobox Aircraft Begin name Bo.11 image caption Infobox Aircraft Type type Two seat general purpose monoplane national origin France manufacturer Etablissements Borel designer first flight 1911 introduced retired status primary user French Air Force number built developed from variants with their own articles The Borel Bo.11 was a France French two seat general purpose monoplane designed and built by Etablissements Borel Borel . ref name orbis Design and development The Bo.11 was mid wing monoplane from 1911 with wire braced wings and latarel control by wing warping. ref name orbis It was powered by a 52kW 70hp Gnome Engine Company Gnome rotary piston engine. ref name orbis The Bo.11 served with the French Air Force A ronautique Militaire at military air training schools and at a civil flying school at Buc. ref name orbis The aircraft could be fitted with twin floats. Specifications aerospecs ref ref name orbis small The Illustrated Encyclopedia of Aircraft small met or eng? met genhide crew 2 capacity length m 6.70 length ft 21 length in 11 span m 9.60 span ft 31 span in 6 height m 2.50 height ft 8 height in 2 wing area sqm wing area sqft empty weight kg empty weight lb gross weight kg gross weight lb eng1 number 1 eng1 type Gnome Engine Company Gnome rotary piston engine eng1 kw prop engines 52 eng1 hp prop engines 70 eng2 number eng2 type perfhide max speed kmh 90 max speed mph 56 cruise speed kmh 70 cruise speed mph 43 range km range miles ceiling m ceiling ft climb rate ms climb rate ftmin See also aircontent related similar aircraft Bleriot XI 2 lists List of seaplanes and amphibious aircraft see also References Notes reflist refs ref name orbis Orbis 1985, p. 820 ref Bibliography refbegin cite book last first authorlink coauthors title The Illustrated Encyclopedia of Aircraft Part Work 1982 1985 year publisher Orbis P ... more details
NOTOC This article is a part of Wikipedia WikiProject Aircraft . Please see Wikipedia WikiProject Aircraft page content for recommended layout. Infobox Aircraft Begin name Torpille image caption Infobox Aircraft Type type Racing aircraft manufacturer Etablissements Borel Borel designer first flight 1913 in aviation 1913 introduced retired status primary user more users produced number built 1 variants with their own articles The Borel Torpille French Torpedo was a France French single engine single seat aircraft built in 1913. Design The Torpille was considered an advanced design for its day. It had a wire braced monoplane wing attached to a monocoque fuselage. The streamlined fuselage was the basis for the plane s appellation. Its powerplant was a 50 hp rotary engine . Operational history Pierre Daucourt used the Torpille to compete in the 1913 Coupe Pommery . He flew it in the first leg of the 1913 competition, and later used it in an attempt to reach Egypt by air. Variants Units using this aircraft Operators choose Specifications aerospecs met or eng? eng for US UK aircraft, met for all others met crew one, pilot capacity length m 5.80 length ft 19 length in 0 span m 8.00 span ft 26 span in 3 dia m helicopters dia ft helicopters dia in helicopters height m 2.35 height ft 7 height in 8 wing area sqm wing area sqft rot area sqm helicopters rot area sqft helicopters aspect ratio sailplanes empty weight kg empty weight lb gross weight kg gross weight lb eng1 number 1 eng1 type Gnome rotary eng1 kw prop engines 37 eng1 hp prop engines 50 eng1 kn jet rocket engines eng1 lbf jet rocket engines eng1 kn ab afterburners eng1 lbf ab afterburners eng2 number eng2 type eng2 kw prop engines eng2 hp prop engines eng2 kn jet rocket engines eng2 lbf jet rocket engines eng2 kn ab afterburners eng2 lbf ab afterburners max speed kmh max speed mph max speed mach for supersonic aircraft cruise speed kmh if max speed unknown cruise speed mph if max speed unknown range km range miles en ... more details
The rho calculus is a formalism intended to combine the higher order facilities of lambda calculus with the pattern matching of term rewriting . External links http rho.loria.fr Site dedicated to research in the rho calculus formalmethods stub Category lambda calculus ... more details
Unreferenced date January 2009 In mathematical logic , a proof calculus corresponds to a family of formal system s that use a common style of formal inference for its inference rules . The specific inference rules of a member of such a family characterize the theory mathematical logic theory of a logic. Usually a given proof calculus encompasses more than a single particular formal system, since many proof calculi are under determining and can be used for radically different logics. For example, a paradigmatic case is the sequent calculus, which can be used to express the consequence relation s of both intuitionistic logic and relevance logic . Thus, loosely speaking, a proof calculus is a template or design pattern , characterized by a certain style of formal inference, that may be specialized to produce specific formal systems, namely by specifying the actual inference rules for such a system. There is no consensus among logicians on how best to define the term. Examples of proof calculi The most widely known proof calculi are those classical calculi that are still in widespread use The class of Hilbert system s, of which the most famous example is the 1928 Hilbert Ackermann system of first order logic Gerhard Gentzen s calculus of natural deduction , which is the first formalism of structural proof theory , and which is the cornerstone of the formulae as types correspondence relating logic to functional programming Gentzen s sequent calculus , which is the most studied formalism of structural proof theory. Many other proof calculi were, or might have been, seminal, but are not widely used today. Aristotle s syllogistic calculus, presented in the Organon , readily admits formalisation. There is still some modern interest in syllogistic, carried out under the aegis of term logic . Gottlob Frege s two dimensional notation of the Begriffsschrift is usually regarded as introducing ... proposed calculi with deep inference , for instance display logic , hypersequents , the calculus ... more details
Elementary calculus may refer to The elementary aspects of differential and integral calculus Elementary Calculus An Infinitesimal Approach , a book by Jerome Keisler. disambig ... more details
Merge from List of calculus topics date September 2011 The following outline is provided as an overview of and topical guide to calculusCalculus &ndash branch of mathematics focused on limit mathematics ... series . This subject constitutes a major part of modern mathematics education . Calculus is the study of change, ref citation title Calculus Concepts An Applied Approach to the Mathematics of Change ... to solving equations. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis . Calculus ... for which Elementary algebra algebra alone is insufficient. Branches of calculus Differential calculus Integral calculus History of calculus main History of calculus General calculus concepts Derivative Differentiation rules Calculus with polynomials Fundamental theorem of calculus Differential calculus Integral calculus Law of continuity Limits of integration List of calculus topics List of important publications in mathematics Calculus Important publications in calculus Mathematics Multivariable calculus Non standard analysis Partial derivative Calculus scholars Gottfried Leibniz Isaac Newton Sir Isaac Newton Calculus lists main List of calculus topics Table of mathematical symbols See also Table of mathematical symbols References Reflist External links sisterlinks Calculus MathWorld urlname Calculus title Calculus PlanetMath urlname TopicsOnCalculus title Topics on Calculus id 7592 http djm.cc library Calculus Made Easy Thompson.pdf Calculus Made Easy 1914 by Silvanus P. Thompson Full text in PDF http www.calculus.org Calculus.org The Calculus page at University of California, Davis &ndash contains resources and links to other sites http www.math.temple.edu cow COW Calculus on the Web at Temple University contains resources ranging from pre calculus and associated algebra ... pre 9217 calculus.htm The Role of Calculus in College Mathematics from ERICDigests.org http ... more details
calculus by means of linear functional s on spaces of polynomials. Currently, umbral calculus refers ...In mathematics before the 1970s, the term umbral calculus referred to the surprising similarity between seemingly unrelated polynomial equation s and certain shadowy techniques used to prove them. These techniques were introduced by harvs txt authorlink John Blissard first John last Blissard year 1861 and are sometimes called Blissard s symbolic method . They are often attributed to douard Lucas or James Joseph Sylvester , who used the technique extensively. ref E. T. Bell, The History of Blissard ... 1938 , pp. 414 421. ref In the 1930s and 1940s, Eric Temple Bell attempted to set the umbral calculus ... sequence s. The 19th century umbral calculus That method is a notational device for deriving identities ..., it is absurd, and yet it is successful identities derived via the umbral calculus can also ... known as the Calculus of finite differences Newton s series Newton series or Newton s forward difference expansion . The analogy to Taylor s expansion is utilized in the Calculus of finite differences ... calculus Another combinatorialist, Gian Carlo Rota , pointed out that the mystery vanishes if one considers the linear functional L on polynomials in y defined by math L y n B n 0 B n. , math Then one ... calculus is characterized as the study of the umbral algebra , defined as the algebra over ... is the umbral calculus by some more modern definitions of the term. A small sample of that theory ... Rota title The umbral calculus doi 10.1016 0001 8708 78 90087 7 mr 0485417 year 1978 journal Advances ... Odlyzko A. Odlyzko , Finite Operator Calculus, Journal of Mathematical Analysis and its Applications .... Citation last1 Roman first1 Steven title The umbral calculus url http books.google.com books?id ... Umbral Calculus cite journal author A. Di Bucchianico, D. Loeb title A Selected Survey of Umbral Calculus ... http www.combinatorics.org Surveys ds3.pdf DEFAULTSORT Umbral Calculus Category Combinatorics Category ... more details
may change during the computation. The calculus is elegantly simple yet very expressive. Functional programs can be encoded into the calculus, and the encoding emphasises the dialogue nature of computation, drawing connections with game semantics . Extensions of the calculus, such as the spi calculus and applied , have been successful in reasoning about cryptographic protocols. Beside the original use in describing concurrent systems, the calculus has also been used to reason about business processes and molecular biology. Informal definition The calculus belongs to the family ...DISPLAYTITLE calculus In theoretical computer science , the calculus or pi calculus is a process calculus originally developed by Robin Milner , http user.it.uu.se joachim Joachim Parrow and David Walker computer scientist David Walker as a continuation of work on the process calculus CCS Calculus of Communicating Systems . The calculus allows channel names to be communicated along the channels ... computation. In fact, the calculus, like the lambda calculuscalculus , is so minimal that it does ... Central to the calculus is the notion of name . The simplicity of the calculus lies in the dual role that names play as communication channels and variables . The process constructs available in the calculus ... P math . The constants of nowrap calculus are defined by their names only and are always communication ... calculus prevents us from writing programs in the normal sense, it is easy to extend the calculus. In particular ..., extensions of the nowrap calculus have been proposed which take into account distribution or public key cryptography. The applied nowrap calculus due to Abadi and Fournet http citeseer.ist.psu.edu ... put these various extensions on a formal footing by extending the nowrap calculus with arbitrary ... called names . The abstract syntax for the calculus is built from the following BNF grammar where x and y are any names from ref http www.lfcs.inf.ed.ac.uk reports 89 ECS LFCS 89 85 A Calculus ... more details
In mathematical logic , pattern calculus is a formalism that extends lambda calculus with abilities to match patterns against an arbitrary compound data structure path polymorphism and to include free variables in patterns pattern polymorphism . External links http www staff.it.uts.edu.au cbj patterns Pattern calculus research site formalmethods stub Category lambda calculus ... more details
math raining x,s math . In the 1986 version of the situation calculus by McCarthy, functional ...The situation calculus is a logic formalism designed for representing and reasoning about dynamical domains ... version of the situational calculus that is presented in this article is based on that introduced by Ray ... formulation. Overview The situation calculus represents changing scenarios as a set of first order logic formulae. The basic elements of the calculus are The actions that can be performed in the world ... axioms of the situation calculus A simple robot world will be modeled as a running example ... calculus are the actions, the fluents, and the situations. A number of objects are also typically involved in the description of the world. The situation calculus is based on a sorted domain ... In the situation calculus, a dynamic world is modeled as progressing through a series of situations ... a history of action occurrences. In the Reiter version of the situation calculus described here, a situation ... take a situation as their final argument. Also possible are functional fluents , functions which take ... Ball ,S 0 math is true. The location of the robot can be modeled using a functional fluent math location ... axioms solve the frame problem in the situation calculus. According to this solution, the designer ... calculus formalize the idea that situations are histories by having math do a,s do a ,s math only ... on situations. Regression Regression is a mechanism for proving consequences in the situation calculus ... from the original one. GOLOG GOLOG is a logic programming language based on the situation calculus. The original version of the situation calculus The main difference between the original situation calculus by McCarthy and Hayes and the one in use today is the interpretation of situations. In the modern version of the situational calculus, a situation is a sequence of actions. Originally, situations ... that is taken by the fluent calculus , where a state can be a collection of known facts, that is, a possibly ... more details
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