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{{Short description|Closeness of someone's association with mathematician Paul Erdős}}

{{Short description|Closeness of someone's association with mathematician Paul Erdős}}

[[File:Erdos budapest fall 1992.jpg|thumb|upright|[[Paul Erdős]] in 1992]]

[[文件:Erdos budapest fall 1992.jpg|缩略图|右|保罗·埃尔德什Paul Erdős摄于1992年]]

 

 

 

The Erdős number () describes the "collaborative distance" between mathematician  and another person, as measured by authorship of mathematical papers. The same principle has been applied in other fields where a particular individual has collaborated with a large and broad number of peers.

The Erdős number () describes the "collaborative distance" between mathematician  and another person, as measured by authorship of mathematical papers. The same principle has been applied in other fields where a particular individual has collaborated with a large and broad number of peers.

 

== Overview ==

== Overview ==

Paul Erdős (1913–1996) was an influential [[Hungarian people|Hungarian]] mathematician who in the latter part of his life spent a great deal of time writing papers with a large number of colleagues, working on solutions to outstanding mathematical problems. He published more papers during his lifetime (at least 1,525) than any other mathematician in history.< Erdős spent a large portion of his later life living out of a suitcase, visiting his over 500 collaborators around the world.

Paul Erdős (1913–1996) was an influential [[Hungarian people|Hungarian]] mathematician who in the latter part of his life spent a great deal of time writing papers with a large number of colleagues, working on solutions to outstanding mathematical problems.<ref name="newman2001">{{cite journal|last=Newman|first=Mark E. J.|authorlink=Mark Newman|title=The structure of scientific collaboration networks|journal=[[Proceedings of the National Academy of Sciences of the United States of America]]| year=2001| doi=10.1073/pnas.021544898| volume=98|issue=2|pages=404–409|pmid=11149952|pmc=14598}}</ref> He published more papers during his lifetime (at least 1,525<ref>{{cite web |url=http://www.oakland.edu/enp/pubinfo/ |title=Publications of Paul Erdős | first=Jerry | last=Grossman |accessdate=1 Feb 2011}}</ref>) than any other mathematician in history.<ref name="newman2001"/> ([[Leonhard Euler]] published more total pages of mathematics but fewer separate papers: about 800.)<ref>{{cite web| url=https://www.math.dartmouth.edu/~euler/FAQ.html| work=The Euler Archive| title=Frequently Asked Questions| publisher=Dartmouth College}}</ref> Erdős spent a large portion of his later life living out of a suitcase, visiting his over 500 collaborators around the world.

Paul Erdős (1913–1996) was an influential Hungarian mathematician who in the latter part of his life spent a great deal of time writing papers with a large number of colleagues, working on solutions to outstanding mathematical problems. He published more papers during his lifetime (at least 1,525) than any other mathematician in history. Erdős spent a large portion of his later life living out of a suitcase, visiting his over 500 collaborators around the world.

Paul Erdős (1913–1996) was an influential Hungarian mathematician who in the latter part of his life spent a great deal of time writing papers with a large number of colleagues, working on solutions to outstanding mathematical problems. He published more papers during his lifetime (at least 1,525) than any other mathematician in history. Erdős spent a large portion of his later life living out of a suitcase, visiting his over 500 collaborators around the world.

The idea of the Erdős number was originally created by the mathematician's friends as a tribute to his enormous output. Later it gained prominence as a tool to study how mathematicians cooperate to find answers to unsolved problems. Several projects are devoted to studying connectivity among researchers, using the Erdős number as a proxy. For example, Erdős [[collaboration graph]]s can tell us how authors cluster, how the number of co-authors per paper evolves over time, or how new theories propagate.

The idea of the Erdős number was originally created by the mathematician's friends as a tribute to his enormous output. Later it gained prominence as a tool to study how mathematicians cooperate to find answers to unsolved problems. Several projects are devoted to studying connectivity among researchers, using the Erdős number as a proxy.<ref name="Erdős Number Project">{{cite web|url=http://www.oakland.edu/enp|title=Erdös Number Project|publisher=Oakland University}}</ref> For example, Erdős [[collaboration graph]]s can tell us how authors cluster, how the number of co-authors per paper evolves over time, or how new theories propagate.<ref>{{cite web|url=http://www.oakland.edu/enp/trivia/|title=Facts about Erdös Numbers and the Collaboration Graph|work=Erdös Number Project|publisher=Oakland University}}</ref>

The idea of the Erdős number was originally created by the mathematician's friends as a tribute to his enormous output. Later it gained prominence as a tool to study how mathematicians cooperate to find answers to unsolved problems. Several projects are devoted to studying connectivity among researchers, using the Erdős number as a proxy. For example, Erdős collaboration graphs can tell us how authors cluster, how the number of co-authors per paper evolves over time, or how new theories propagate.

The idea of the Erdős number was originally created by the mathematician's friends as a tribute to his enormous output. Later it gained prominence as a tool to study how mathematicians cooperate to find answers to unsolved problems. Several projects are devoted to studying connectivity among researchers, using the Erdős number as a proxy. For example, Erdős collaboration graphs can tell us how authors cluster, how the number of co-authors per paper evolves over time, or how new theories propagate.

Several studies have shown that leading mathematicians tend to have particularly low Erdős numbers.

Several studies have shown that leading mathematicians tend to have particularly low Erdős numbers.<ref name="trails">{{cite journal

Several studies have shown that leading mathematicians tend to have particularly low Erdős numbers.

 

Several studies have shown that leading mathematicians tend to have particularly low Erdős numbers.<ref name="trails">{{cite journal

一些研究表明，一流的数学家的 erd 数字往往特别低

一些研究表明，一流的数学家的 erd 数字往往特别低