Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Philip_Franklin> ?p ?o }
- Philip_Franklin abstract "Philip Franklin (October 5, 1898 – January 27, 1965) was an American mathematician and professor whose work was primarily focused in analysis.Dr. Franklin received a B.S. in 1918 from City College of New York (who later awarded him its Townsend Harris Medal for the alumnus who achieved notable postgraduate distinction). He received his M.A. in 1920 and Ph.D. in 1921 both from Princeton University. His dissertation, The Four Color Problem, was supervised by Oswald Veblen. After teaching for one year at Princeton and two years at Harvard (as the Benjamin Peirce Instructor), Franklin joined the MIT Department of Mathematics, where he stayed until his 1964 retirement.In 1922, Franklin gave the first proof that all planar graphs with at most 25 vertices can be four-colored.In 1928, Franklin gave the first description of an orthonormal basis for L²([0,1]) consisting of continuous functions (now known as \"Franklin's system\").In 1934, Franklin disproved the Heawood conjecture for the Klein bottle by showing that any map drawn on the Klein bottle can be coloured with at most six colours. An example which shows that six colours may be needed is the 12-vertex cubic graph now known as the Franklin graph.Franklin also worked with Jay W. Forrester on Project Whirlwind at the Office of Naval Research (ONR).Franklin was editor of the MIT Journal of Mathematics and Physics from 1929.Franklin was married to Norbert Wiener's sister Constance. Their son-in-law is Václav E. Beneš.".
- Philip_Franklin birthDate "1898-10-05".
- Philip_Franklin birthPlace New_York_City.
- Philip_Franklin birthYear "1898".
- Philip_Franklin deathDate "1965-01-27".
- Philip_Franklin deathPlace Belmont,_Massachusetts.
- Philip_Franklin deathPlace Massachusetts.
- Philip_Franklin deathYear "1965".
- Philip_Franklin doctoralAdvisor Oswald_Veblen.
- Philip_Franklin doctoralStudent Alan_Perlis.
- Philip_Franklin knownFor Franklin_graph.
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- Philip_Franklin wikiPageWikiLink Category:20th-century_American_mathematicians.
- Philip_Franklin wikiPageWikiLink Category:City_College_of_New_York_alumni.
- Philip_Franklin wikiPageWikiLink Category:Guggenheim_Fellows.
- Philip_Franklin wikiPageWikiLink Category:Harvard_University_faculty.
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- Philip_Franklin wikiPageWikiLink Category:Mathematical_analysts.
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- Philip_Franklin wikiPageWikiLink Master_of_Arts.
- Philip_Franklin wikiPageWikiLink New_York_City.
- Philip_Franklin wikiPageWikiLink Norbert_Wiener.
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- Philip_Franklin wikiPageWikiLink Oswald_Veblen.
- Philip_Franklin wikiPageWikiLink Princeton_University.
- Philip_Franklin wikiPageWikiLink Studies_in_Applied_Mathematics.
- Philip_Franklin wikiPageWikiLink Václav_E._Beneš.
- Philip_Franklin wikiPageWikiLink Whirlwind_I.
- Philip_Franklin wikiPageWikiLinkText "Franklin, Philip".
- Philip_Franklin wikiPageWikiLinkText "Philip Franklin".
- Philip_Franklin birthDate "1898-10-05".
- Philip_Franklin birthPlace New_York_City.
- Philip_Franklin dateOfBirth "1898-10-05".
- Philip_Franklin dateOfDeath "1965-01-27".
- Philip_Franklin deathDate "1965-01-27".
- Philip_Franklin deathPlace Belmont,_Massachusetts.
- Philip_Franklin deathPlace Massachusetts.
- Philip_Franklin doctoralAdvisor Oswald_Veblen.
- Philip_Franklin doctoralStudents Alan_Perlis.
- Philip_Franklin knownFor Franklin_graph.
- Philip_Franklin name "Franklin, Philip".
- Philip_Franklin name "Philip Franklin".
- Philip_Franklin placeOfBirth New_York_City.
- Philip_Franklin placeOfDeath Belmont,_Massachusetts.
- Philip_Franklin placeOfDeath Massachusetts.
- Philip_Franklin shortDescription "American mathematician".
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- Philip_Franklin description "American mathematician".
- Philip_Franklin description "American mathematician".
- Philip_Franklin subject Category:1898_births.
- Philip_Franklin subject Category:1965_deaths.
- Philip_Franklin subject Category:20th-century_American_mathematicians.
- Philip_Franklin subject Category:City_College_of_New_York_alumni.
- Philip_Franklin subject Category:Guggenheim_Fellows.
- Philip_Franklin subject Category:Harvard_University_faculty.
- Philip_Franklin subject Category:Massachusetts_Institute_of_Technology_faculty.
- Philip_Franklin subject Category:Mathematical_analysts.
- Philip_Franklin subject Category:Princeton_University_alumni.
- Philip_Franklin subject Category:Princeton_University_faculty.
- Philip_Franklin hypernym Mathematician.
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- Philip_Franklin comment "Philip Franklin (October 5, 1898 – January 27, 1965) was an American mathematician and professor whose work was primarily focused in analysis.Dr. Franklin received a B.S. in 1918 from City College of New York (who later awarded him its Townsend Harris Medal for the alumnus who achieved notable postgraduate distinction). He received his M.A. in 1920 and Ph.D. in 1921 both from Princeton University. His dissertation, The Four Color Problem, was supervised by Oswald Veblen.".