| 词条 | Chris Freiling |
| 释义 |
Freiling obtained his Ph.D. in 1981 from the University of California, Los Angeles under the supervision of Donald A. Martin.[3] He is a member of the faculty of the Department of Mathematics at California State University, San Bernardino.[4] Selected publications
| last1 = Dougherty | first1 = Randall | author1-link = Randall Dougherty | last2 = Freiling | first2 = Christopher | last3 = Zeger | first3 = Kenneth | doi = 10.1109/TIT.2005.851744 | issue = 8 | journal = IEEE Transactions on Information Theory | pages = 2745–2759 | title = Insufficiency of linear coding in network information flow | volume = 51 | year = 2005}}.
| last1 = Dougherty | first1 = Randall | author1-link = Randall Dougherty | last2 = Freiling | first2 = Chris | last3 = Zeger | first3 = Kenneth | doi = 10.1109/TIT.2007.896862 | issue = 6 | journal = IEEE Transactions on Information Theory | mr = 2321860 | pages = 1949–1969 | title = Networks, matroids, and non-Shannon information inequalities | volume = 53 | year = 2007}}. References1. ^{{citation | last = Mumford | first = David | author-link = David Mumford | editor1-last = Arnold | editor1-first = V. | editor1-link = Vladimir Arnold | editor2-last = Atiyah | editor2-first = M. | editor2-link = Michael Atiyah | editor3-last = Lax | editor3-first = P. | editor3-link = Peter Lax | editor4-last = Mazur | editor4-first = B. | editor4-link = Barry Mazur | contribution = The dawning of the age of stochasticity | location = Providence, RI | mr = 1754778 | pages = 197–218 | publisher = American Mathematical Society | title = Mathematics: Frontiers and Perspectives | year = 2000}}. See in particular [https://books.google.com/books?id=qjVaD1OQbxEC&pg=PA208 p. 208]: "This leads us to the stunning result of Christopher Freiling (1986): using the idea of throwing darts, we can disprove the continuum hypothesis." 2. ^{{citation|title=Network Information Theory|first1=Abbas|last1=El Gamal|author1-link=Abbas El Gamal|first2=Young-Han|last2=Kim|publisher=Cambridge University Press|year=2011|isbn=9781139503143|page=171|url=https://books.google.com/books?id=Ack2AAAAQBAJ&pg=RA1-PA171|quote=Dougherty, Freiling, and Zeger (2005) showed via an ingenious counterexample that unlike the multicast case, linear network coding fails to achieve the capacity region of a general graphical multimessage network error-free. This counterexample hinges on a deep connection between linear network coding and matroid theory.}} 3. ^{{mathgenealogy|id=46539}} 4. ^Faculty/staff directory, CSUSB Mathematics Department, retrieved 2015-04-11. External links
8 : 20th-century American mathematicians|21st-century mathematicians|Set theorists|Coding theorists|University of California, Los Angeles alumni|California State University, San Bernardino faculty|Living people|Year of birth missing (living people) |
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