Infobox scientist name SaundersMacLane image Saunders MacLane.jpg image size caption birth date Birth ... SaundersMacLane 4 August 1909, Taftville , Connecticut 14 April 2005, San Francisco was an United ... Moerdijk . ISBN 0 387 97710 4 2005. SaundersMacLane A Mathematical Autobiography . A K Peters. ISBN ... cgi content full 13 3 237 SaundersMacLane 1909 2005 His Mathematical Life and Philosophical Works ... s G ttingen SaundersMacLane as Philosopher of Mathematics, , British Journal for the Philosophy of Science 58 1 77&ndash 112. William Lawvere Lawvere, William , 2007, article SaundersMacLane ... LBRT g2 english ssk knight e.html SaundersMacLane, the Knight of Mathematics MathGenealogy id 834 ... . NAME MacLane, Saunders ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 4 August 1909 PLACE OF BIRTH ... MacLane, Saunders Category 1909 births Category 2005 deaths Category 20th century mathematicians Category ... de SaundersMacLane es SaundersMacLane fr SaundersMacLane it SaundersMacLane ka ht SaundersMacLane nl SaundersMacLane ja pl SaundersMacLane pt SaundersMacLane ru , sk SaundersMacLane sv SaundersMacLane vi SaundersMacLane zh ... Lane was christened Leslie Saunders MacLane , but Leslie fell into disuse because his parents, Donald ... because his first wife found it difficult to type the name without a space. ref MacLane 2005 , p. 6. ref MacLane earned a Bachelor of Arts BA from Yale University in 1930, and an Master of Arts postgraduate ... s Mathematisches Institut awarded him the Ph.D. in 1934. From 1934 through 1938, MacLane ... Panel . MacLane served as vice president of the United States National Academy of Sciences National ... of mathematicians to China to study the conditions affecting mathematics there. MacLane was elected ... in 1943, resulting in what are now called Eilenberg MacLane space Eilenberg MacLane space s K G ... 2005 , this diagrammatic approach to contemporary mathematics largely stems from MacLane 1948 ... more details
. citation last MacLane first S. author link SaundersMacLane journal Fundamenta Mathematicae pages ...In graph theory , MacLane s planarity criterion is a characterisation of planar graph s in terms of their cycle space s, named after SaundersMacLane . It states that a finite undirected graph is planar if and only if the cycle space of the graph taken modulo 2 has a Basis linear algebra basis in which each edge of the graph participates in at most two basis vectors. Formal statement For any cycle mvar c in a graph mvar G , one can form an mvar m dimensional 0 1 vector that has a 1 in the coordinate positions corresponding to edges in mvar c and a 0 in the remaining coordinate positions. The cycle space math C G of the graph is the vector space formed by all possible linear combinations of vectors formed in this way. In MacLane s characterization, math C G is a vector space over the finite field math GF 2 with two elements that is, in this vector space, vectors are added coordinatewise modulo two. A 2 basis of mvar G is a basis of math C G with the property that, for each edge mvar e in mvar G , at most two basis vectors have nonzero coordinates in the position corresponding to mvar e . Then, stated more formally, MacLane s characterization is that the planar graphs are exactly the graphs that have a 2 basis. Proof One direction of the characterisation is easy if mvar G is planar, then the set of boundaries of the bounded faces of a planar embedding of mvar G form a basis of math C G . Clearly, each edge belongs to at most two such boundaries if an edge is a bridge of mvar G , it appears twice on a single face boundary and therefore has a zero coordinate in the corresponding ... 618 title A short proof of MacLane s planarity theorem volume 37 year 1973 . Category Algebraic graph ... be zero. If this is the case, then leaving any one of the cycles out produces a basis satisfying MacLane s formulation of the criterion. If a planar graph is embedded on a sphere, its face cycles clearly ... more details
Saunders is a surname of English people English and Scottish people Scottish patronymic origin derived from Sander, a medi val form of Alexander . ref http www.allwords.com word Saunders.html Saunders Allwords ref People with the surname Saunders include Al Saunders , American football coach Allen Saunders , American cartoonist Alvin Saunders , American politician Albert Charles Saunders , Canadian politician Arthur Frederick Saunders , British soldier Ben Saunders disambiguation Bradley Saunders English boxer Charles Saunders disambiguation Charles Saunders admiral 1713 1775 , British admiral Charles Saunders administrator died 1931 , British administrator Charles Saunders rower 1902 1994 , New Zealand rower Charles Saunders tennis player , real tennis world champion 1890 1895 Charles E. Saunders 1867 1937 , Canadian agronomist Cicely Saunders , British physician Clarence Saunders grocer , American retailer Clarence Saunders athlete , Bermudian high jumper E. Dale Saunders , American scholar Dave Saunders volleyball Dave Saunders , American volleyball player David Saunders American football , American football receiver Dean Saunders , Welsh footballer Debra Saunders , American journalist Dero A. Saunders , American journalist Doug Saunders , Canadian journalist Drew P. Saunders , American politician Edward Saunders disambiguation Edward W. Saunders 1860 1921 , Virginian politician Edward Saunders judge died 1576 , British judge Edward Saunders entomologist 1848 1910 , British entomologist Ernest Saunders , British businessman Flip Saunders , American basketball coach George Saunders , American short story writer Helen Saunders , British artist Harold H. Saunders , American diplomat Howard Saunders , British ornithologist Hugh Saunders , South African Royal Air Force commander Irene Saunders , American dictionary compiler J. J. Saunders , British historian Jack Saunders , Australian cricketer Jake Saunders , British banker in Hong Kong Jay Saunders , Big band lead trumpeter ... more details
Infobox software name Mac on Mac logo Image Mac on Mac.png 48px caption Mac on Mac selection window developer Mac on Mac Project latest release version latest release date latest preview version 0.21 latest preview date 2005 07 11 operating system Mac OS X platform genre emulator license GNU General Public License GPL website http sourceforge.net forum forum.php?thread id 1365772&forum id 479959 Mac on Mac MoM is a port of Mac on Linux for Mac OS X . It is intended to be user friendly . With this software, Mac OS X Mac OS X v10.0 10.0 through Mac OS X v10.3 10.3 , Mac OS 9 , OpenDarwin , and Linux can be run in a separate window on a Apple Macintosh Macintosh computer running Mac OS X. The software requires X11.app X11 and a List of Macintosh models grouped by CPU type PowerPC PPC based Mac to run. Mac on Mac is Development stage Alpha alpha software . Version 0.21 is the latest available to download. Version 0.21 does not run on Mac OS X Tiger or Leopard. Due to the Apple Intel transition and the fact that Mac on Linux development has ceased, Mac on Mac is not being updated. Source code is available for development by other parties. http sourceforge.net forum forum.php?thread id 1365772&forum id 479959 Project status discussion While Mac on Mac development has been dropped by its former author its code has been partially integrated in Mac on Linux svn repository code and OS X will probably be a target for building. See also Portal Free software X Window System Mac on Linux External links Commons Mac on Mac http sourceforge.net projects maconmac SourceForge.net Mac on Mac http www.inaddrany.com mom version of Mac on Mac that can be run from disk image DEFAULTSORT Mac On Mac Category Mac OS X emulation software Category Macintosh platform emulators Category Virtualization software Category Free emulation software emulation stub Mac software stub ... more details
lane other File Montague Expressway.jpg thumb right 250px Through lanes indicated by arrows on Montague Expressway in Silicon Valley . A lane is a part of the carriageway roadway British carriageway ... two lanes, one for traffic in each direction, separated by Lane markings . Major highways often have ... road carries traffic in both directions within a single lane with passing places to allow vehicles to pass ... lane some urban streets which began as country lanes are still called lanes, such as Drury Lane in London. Types of traffic lane wide image Freeway Overload.jpg 1000px The Ontario Highway 401 in the Greater ... BR 101, Santa Catarina, Brasil Retorno.JPG thumb Turning lane on the Rodovia BR 101 Brazil File Changing lanes in Gothenburg ubt.ogv thumb right Changing lanes, Gothenburg , Sweden A traffic lane or travel lane is a lane for the movement of vehicles traveling from one destination to another, not including Shoulder road shoulders and auxiliary lanes. A through lane or thru lane is a traffic lane ... paved surface. A rural 2 lane highway is usually built on a single surface with traffic in both ... direction. A deceleration lane is a paved or semi paved lane adjacent to the primary road or street ... settings. A fire lane is the area next to a Curb road curb , which is reserved for firefighting ... lines, usually warrants a parking ticket . A loading lane loading zone in the United States is an area ... by a sign LOADING ONLY or LOADING ZONE or by a yellow or white painted curb. A passing lane ... larger, slower ones. This is sometimes called a climbing lane if on the uphill side. See truck lane below . Passing lanes may also be provided on long stretches of other roadway. On two lane roads, using the lane of oncoming traffic as a passing lane is sometimes allowed given a long enough straightaway ... as the vehicle intending to pass. A collector lane of a road is used for slower moving traffic and has more access to exits off ramps. An express lane of a road is used for faster moving traffic and has ... more details
Context date October 2009 Article has no intro or context. carries the digital information of.... what? Image PAL and D2 MAC Transmission.png thumb 300px The simultaneous PAL transmission of all TV picture elements and the multiplexed transmission of the TV picture elements with D2 MAC. Image MAC.jpg thumb 300px Simulated MAC signal. From left to right digital data, chrominance and luminance A MAC carries the digital information sound, data teletext on an FM subcarrier at 7 MHz. Since the vision bandwidth of a standard MAC signal is 8.4 MHz, the horizontal resolution on A MAC has to be reduced to make room for the 7 MHz carrier. A MAC has not been used in service. MAC FAQ MAC transmits luminance and chrominance data separately in time rather than separately in frequency as other analog television formats do, such as composite video . Audio and Scrambling selective access Audio, in a format similar to NICAM was transmitted digitally rather than as an FM subcarrier. The MAC standard included a standard scrambling system, EuroCrypt, a precursor to the standard DVB CSA encryption system. External links http www.stjarnhimlen.se tv tv.html MAC Multiplexed Analogue Components in Analog TV Broadcast Systems by Paul Schlyter TV transmission systems Analog high definition television systems PAL , what MAC technology tried to replace SECAM , what MAC technology tried to replace A MAC B MAC C MAC D MAC E MAC S MAC D2 MAC HD MAC , an early high definition television standard allowing for 2048x1152 resolution. DVB S , MAC technology was replaced by this standard DVB T , MAC technology was replaced by this standard telecomm stub Category Video formats Category Television technology ... more details
TOCright Mac or MAC may refer to Aviation Martin s Air Charter, now Martinair Mean Aerodynamic Chord ... manufacturing company Computing and telecommunications MAC address , Media Access Control address or Ethernet ... a message in cryptography Mac OS , an operating system of Apple s Macintosh Macintosh , a brand ..., especially in regard to availability and integrity. Multiplexed Analogue Components .mac, a file extension for macros in Agilent ChemStation .Mac, a former name of MobileMe Multiply accumulate Fictional characters Mac It s Always Sunny in Philadelphia , a character on the FX television sitcom It s Always Sunny in Philadelphia Mac, a character in the television series List of characters in Foster s Home for Imaginary Friends Foster s Home for Imaginary Friends Mac, one of the two Goofy Gophers Mac, the alien from the film Mac and Me Mac, a character from Apple s Get A Mac ad campaign, representing a Macintosh computer Mac Gargan , an enemy of Spider Man Mac Green Wing , a character on the British sitcom Green Wing Mac, a character in the pixar movie Cars MacGyver , a television series Cindy Mac Mackenzie , a character from the TV series Veronica Mars Lt. Col. Sarah MacKenzie , a character from the TV series JAG Mac Taylor , a character from the TV series CSI NY Captain Mac, a character in Final Fantasy Mystic Quest Little Mac, a character in the Punch Out video games Dr. McAfferty ... , Montreal Museum of Contemporary Art People Mac rapper , rapper formerly signed to No Limit Records Mac, member and musician of So Solid Crew Mac Dre , rapper from Vallejo, California A nickname ... Mac Mall , rapper from Vallejo, California Alison Mac , British actress Clark McConachy , a snooker player Mac Suzuki , a Major League Baseball pitcher M c surname , a Vietnamese surname Stanley McMurtry , British cartoonist who signs his work Mac Bernie Mac , a comedian from the United States of America Ian McCulloch singer , lead singer of English band Echo & The Bunnymen , also known as Mac ... more details
2008 French and Saunders Still Alive 2008 Theatre Royal, Drury Lane, London French and Saunders ...ref improve date February 2012 Use dmy dates date March 2011 Infobox Television show name French and Saunders image Image Fandscover.jpg 225px caption French and Saunders format Sketch comedy , parody camera runtime Various creator Dawn French br Jennifer Saunders starring Dawn French br Jennifer Saunders ... episodes 46 num seasons 7 French and Saunders is a British sketch comedy television show written by and starring comic duo Dawn French and Jennifer Saunders . It is also the name by which the performers ... in their own shows. Saunders won a BAFTA, an Emmy Award and international acclaim for writing and playing ... has starred in Jam and Jerusalem , written by Saunders, and Lark Rise to Candleford TV series Lark ... her autobiography Dear Fatty , referring to Saunders, to whom she gave the nickname Fatty . In a 2005 ... comedians and comedy insiders. Their last special, 2005 s French and Saunders Christmas Celebrity Special , aired on 27 December 2005 on BBC One . In 2006, both Saunders and French announced that their sketch ... Fellowship. History Early years 1978&ndash 1987 French and Saunders met in 1978 while attending the Central ..., French and Saunders collaborated on their programme Girls On Top , which they again wrote and starred ... DVD boxed set of their work was released internationally. French and Saunders 1987&ndash 2010 Image Frenchnsaunders.jpg thumb right 250px French and Saunders spoofing Jack and Rose from the popular film Titanic 1997 film Titanic On 9 March 1987, the duo launched their sketch show French and Saunders ... progressed and ratings skyrocketed, French and Saunders received higher and higher budgets ... of their Southern accent. Saunders goads French to try the accent by saying How are you ... for effect, French and Saunders uses the viewer s awareness of what is going on to further stretch ... film trilogy , an encounter by Frodo Baggins Frodo and Galadriel is thrown off when Saunders ... more details
File Michael The Mac Robinson was a periodical magazine covering the Apple Macintosh Macintosh computer platform, including software and related Apple Inc. Apple products. It was published monthly by Future Publishing between the 1990s and 2000s, exact dates coming when I can get up into the loft coming with a cover CD on every issue, in contrast to Future s older Macintosh magazine, MacFormat , which was published fortnightly and came with a cover 3.5 floppy disc floppy . Future Publishing magazines Unreferenced date April 2011 DEFAULTSORT Mac Category Macintosh magazines hobby mag stub ... more details
Saunders Island may refer to Saunders Island, Falkland Islands Saunders Island, South Sandwich Islands Appat Island Saunders , northwestern Greenland geodis de Saunders Island it Isola di Saunders nl Saunderseiland no Saunders Island ... more details
Ed Saunders may refer to Ed Saunders, of The Saunders Brothers Show Ed Saunders, character in Rawhide 1938 film Ed Saunders, character in Black Like Me film See also Edward Saunders disambiguation hndis Saunders, Ed ... more details
Infobox GAA player code Hurling sport Hurling image name Paddy Saunders irish P draig Mac Sandair fullname Paddy Saunders height nickname county Kilkenny province Leinster club Tullaroan GAA Tullaroan clposition Half back clubs clyears clapps points clcounty clprovince clallireland counties Kilkenny icposition Half back icyears 1902 1904 icapps points icprovince 1 icallireland 1 allstars nhl clupdate icupdate birth place Ballycallan , County Kilkenny Paddy Saunders was a famous Republic of Ireland Irish sportsperson. He played hurling with his local club Tullaroan GAA Tullaroan and with the Kilkenny GAA Kilkenny senior inter county team from 1902 until 1904. Kilkenny Hurling Team 1904 Persondata Metadata see Wikipedia Persondata . NAME Saunders, Paddy ALTERNATIVE NAMES SHORT DESCRIPTION Irish hurler DATE OF BIRTH PLACE OF BIRTH Ballycallan DATE OF DEATH PLACE OF DEATH DEFAULTSORT Saunders, Paddy Category Year of birth missing Category Year of death missing Category Tullaroan hurlers Category Kilkenny hurlers Category Winners of one All Ireland medal hurling Category People from County Kilkenny Kilkenny hurling bio stub ... more details
David Saunders may refer to David Saunders painter sculptor , son of illustrator Norman Saunders David Saunders American football , American football player David Saunders ice hockey born 1966 , hockey player David Saunders political strategist Dave Saunders comics artist Dave Saunders volleyball hndis Saunders, David ... more details
Richard Saunders may refer to Benjamin Franklin , who used the pseudonym Richard Saunders Richard Saunders photographer 1922 1987 Richard Saunders skeptic Australian Skeptic hndis Saunders, Richard ... more details
for the Welsh author Roy Saunders author Infobox football biography playername Roy Saunders image fullname Roy Saunders dateofbirth birth date 1930 9 4 df y cityofbirth City of Salford Salford countryofbirth England date of death 29 January 2009 cityofdeath Swansea countryofdeath Wales height position ... nationalgoals1 Roy Saunders 4 September 1930 29 January 2009 was a professional association football ... of footballer Dean Saunders . Life and playing career Born in Salford, Greater Manchester Salford , Lancashire , England , Saunders began his career as an amateur with Hull City A.F.C. Hull City ... of the biggest upsets in the team s history. Citation needed date February 2009 Saunders s only goal came on 25 August 1956 in a 2 0 league win at Gigg Lane . It was the second goal as the Reds wrapped up both the points against Bury F.C. Bury by the 17th minute. Saunders struggled to get into the starting ... Liverpool s relegation in 1954 that Saunders became a regular, when he was selected 32 times .... In 1956, Saunders was chosen 42 times, which ended up being his best season at Anfield . He followed this up with 28 appearances. Saunders lost his place again in 1957 and did not get a run in the side ... for Saunders, who was eventually allowed to leave just before the end of the season in March 1959 ... almost 100 times. Before hanging up his boots, Saunders played for Welsh amateur club Ammanford A.F.C. Ammanford Town . Saunders s connection with Liverpool did not end when he left for the Swans his son, Dean Saunders Dean , was also a professional footballer who played up front for the Reds during the 1990s. Dean Saunders also played for Swansea, now City, and became a Wales national football ... detail article.html Roy Saunders obituary , South Wales Evening Post, 30 January 2009. Persondata Metadata see Wikipedia Persondata . NAME Saunders, Roy ALTERNATIVE NAMES SHORT DESCRIPTION English ... 29 January 2009 PLACE OF DEATH Swansea , Wales DEFAULTSORT Saunders, Roy Category 1930 births ... more details
James Saunders may refer to James Saunders cricketer 1802 1832 , English cricketer James Saunders playwright 1925 2004 , English playwright James Saunders footballer 1878 ? , English footballer hndis name Saunders, James de James Saunders ... more details
Ted Saunders may refer to Ted Saunders musician , see Living Time Teddy Saunders , also known as Ted, ice hockey player See also Edward Saunders disambiguation Theodore Saunders hndis Saunders, Ted ... more details
Raymond Saunders may refer to Raymond Saunders artist Raymond Saunders clockmaker hndis name Saunders, Raymond Long comment to avoid being listed on short pages ... more details
Anne Saunders may refer to Anne Cofell Saunders , American television writer and producer See also Saunders surname hndis Saunders, Anne ... more details
Clarence Saunders is the name of Clarence Saunders grocer 1881 1953 , US American grocer, pioneer of supermarkets Clarence Saunders athlete born 1963 , Bermudian high jumper hndis Saunders, Clarence ... more details
Pete or Peter Saunders may refer to Peter Gordon Saunders , Australian social researcher Peter Robert Saunders , Australian social researcher Peter Saunders impresario 1911 2002 , English theatre impresario Pete Saunders born 1960 , musician hndis Saunders, Peter DEFAULTSORT Saunders, Peter ... more details
Edward Saunders may refer to Edward W. Saunders 1860 1921 , Virginian politician Edward Saunders judge died 1576 , British judge Edward Saunders entomologist 1848 1910 , British entomologist See also Ed Saunders disambiguation Ted Saunders disambiguation hndis Saunders, Edward ... more details
Other persons George Saunders Infobox writer name George Saunders image George Saunders by David Shankbone.jpg ... website http www.saunderssaunderssaunders.com George Saunders born December 2, 1958 is a New York ... , Saunders won the National Magazine Award for fiction in 1994, 1996, 2000, and 2004, and second ... , was a finalist for the 1996 PEN Hemingway Award . In 2006 Saunders received a MacArthur Foundation ... was a finalist for The Story Prize in 2007. Early life and education Saunders was born in Amarillo ... Forest, Illinois , a southern suburb of Chicago. In 1981 Saunders received a Bachelor of Science ... scientific background, Saunders said ...any claim I might make to originality in my fiction is really ... dresses. ref cite news last Childers first Doug title The Wag Chats with George Saunders pages ... . Career as author Saunders considered himself an Objectivism Ayn Rand Objectivist in his twenties ... for a time in Sumatra with an oil exploration crew. Since 1997, Saunders has been on the faculty of Syracuse ... , Saunders was awarded a 500,000 MacArthur Fellowship . In the same year he was also awarded a Guggenheim Fellowship . Saunders resides in Syracuse, New York, is married and has two daughters. He ... www.kcrw.com etc programs bw bw071227george saundersSaunders on KCRW S The Bookworm discussing The Braindead Megaphone . ref While promoting The Braindead Megaphone , Saunders appeared on The Colbert Report and Late Night with David Letterman . Saunders s fiction often focuses on the absurdity of consumerism ... satirical tone in most of Saunders s writing, it also raises moral questions. The tragicomic element in his work has earned Saunders comparisons to Kurt Vonnegut , a writer to whom Saunders has acknowledged a debt. ref cite web last Saunders first George title God Bless You, Mr. Vonnegut url ... the Hole An Interview with George Saunders url http www.guernicamag.com interviews 216 dig the hole accessdate 2007 06 01 ref Saunders has also written a feature length screenplay based on one of his ... more details
Charles Saunders may refer to Charles Saunders Royal Navy officer 1713 1775 , British admiral Charles Saunders administrator died 1931 , British administrator Charles Saunders tennis , real tennis world champion, 1890 1895 Charles Saunders director 1904 1997 , English film director and screenwriter Charles Saunders rower 1902 1994 , New Zealand rower Charles E. Saunders 1867 1937 , Canadian agronomist Charles H. Saunders 1821 1901 , City Councilor, Alderman and Mayor of Cambridge, Massachusetts Charles R. Saunders born 1946 , Canadian fantasy author Charles Saunders bishop 1884 1973 , Bishop of Lucknow, 1928 1938 hndis Saunders, Charles DEFAULTSORT Saunders, Charles de Charles Saunders fr Charles Saunders it Charles Saunders ... more details
Stephen Saunders may refer to Stephen Saunders British Army officer , British military attache based in Greece Stephen Saunders 24 character Stephen Saunders 24 character , character in U.S. TV series 24 See also Steve Sanders disambiguation Steven Saunders , Scottish footballer hndis name Saunders, Stephen ... more details
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