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Record Nr. |
UNINA9910827427103321 |
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Autore |
Zaslavsky Thomas |
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Titolo |
Facing up to arrangements : face-count formulas for partitions of space by hyperplanes / / Thomas Zaslavsky |
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Pubbl/distr/stampa |
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Providence : , : American Mathematical Society, , [1975] |
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©1975 |
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ISBN |
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Descrizione fisica |
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1 online resource (115 p.) |
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Collana |
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Memoirs of the American Mathematical Society ; ; volume 1, issue 1, number 154 (January 1975) |
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Disciplina |
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Soggetti |
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Combinatorial geometry |
Combinatorial enumeration problems |
Lattice theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 1, issue 1." |
Substantially the author's thesis, Massachusetts Institute of Technology. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""3. Quick proofs (Eulerian method)""""AB. Proof of the whole-space cases""; ""C. The bounded case and the bounded space""; ""4. The long proofs (Tutte-Grothendieck method)""; ""A. Proof of the Euclidean case""; ""B. Proof of the projective case""; ""C. Proof of the bounded case""; ""5. A collocation of corollaries""; ""A. The Euler relations proved""; ""B. More counting relations""; ""C. Enumeration in the classical style""; ""D. Unbounded faces""; ""E. Back to Buck: arrangements made simple""; ""F. Winder's Theorem and threshold functions""; ""6 Points and zonotopes"" |
""A. Placing hyperplanes between points""""B. The faces of zonotopes""; ""PART II. A STUDY OF EUCLIDEAN ARRANGEMENTS WITH PARTICULAR REFERENCE TO BOUNDED FACES""; ""7. The beta theorem. Theorem D""; ""8. The central decomposition. Theorem E""; ""A. Appendix on spanning sets of coatoms""; ""9. The dimension of the bounded space""; ""References""; ""Index of symbols"" |
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