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|a GWRE
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| 050 |
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4 |
|a QA320
|b .K37 1953eb
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| 100 |
1 |
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|a Karlin, Samuel,
|d 1923-2007,
|e author.
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| 245 |
1 |
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|a Geometry of moment spaces /
|c by S. Karlin and L.S. Shapely.
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| 264 |
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|a Providence :
|b American Mathematical Society,
|c 1953.
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| 300 |
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|a 1 online resource (101 pages) :
|b illustrations.
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| 336 |
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|a text
|b txt
|2 rdacontent.
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|a computer
|b c
|2 rdamedia.
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| 338 |
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|a online resource
|b cr
|2 rdacarrier.
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|a Memoirs of the American Mathematical Society ;
|v number 12.
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| 504 |
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|a Includes bibliographical references (pages 92-93)
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|a CHAPTER I: CONVEX SETS -- 1. Elementary definitions -- 2. Boundary indices -- 3. Convex representation -- 4. Convex cones. Duality -- 5. Conjugate points -- CHAPTER II: THE MOMENT SPACE D[sup(n)] AND ITS DUAL P[sup(n)] -- 6. Distribution functions on [0, 1] -- 7. The moment space D[sup(n)] -- 8. The polynomial space P[sup(n)] -- 9. The boundary of P[sup(n)] -- 10. A property of the extreme points of P[sup(n)] -- 11. The boundary of D[sup(n)] -- CHAPTER III: THE SIMPLEXES S[sup(n)] AND B[sup(n)] -- 12. The simplex S[sup(n)] -- 13. The dual simplex B[sup(n)]
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|a 14. Fit of S[sup(n)] and B[sup(n)] to D[sup(n)] and P[sup(n)] -- 15. Comparison of volumes -- CHAPTER IV: ALGEBRAIC DESCRIPTION OF THE MOMENT SPACES -- 16. Moment sequences and quadratic forms -- 17. The determinants E[sub(m)] and their relation to the faces of D[sup(n)] -- 18. The lower and upper boundaries of D[sup(n)] -- CHAPTER V: DISTRIBUTIONS HAVING GIVEN MOMENTS -- 19. The polynomials E[sub(m)](t) and E[sub(m)(t) -- 20. Construction of distribution functions -- 21. Characterization of the set of distribution functions with given moments -- 22. Intertwining property of functions in D.
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|a CHAPTER VI: APPLICATION TO ORTHOGONAL POLYNOMIALS -- 23. Orthogonality of the E-polynomials -- 24. Separation of roots. Christoffel numbers -- 25. Geometry of the Tchebycheff polynomials -- CHAPTER VII: SYMMETRIES OF THE MOMENT SPACES -- 26. Reversal of the unit interval -- 27. Moment space of symmetric distributions -- 28. Other symmetries -- REFERENCES.
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| 588 |
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|a Print version record.
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| 650 |
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|a Moment spaces.
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| 650 |
|
7 |
|a Moment spaces.
|2 fast
|0 (OCoLC)fst01025013.
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| 700 |
1 |
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|a Shapely, Lloyd S.,
|d 1923-
|e author.
|
| 776 |
0 |
8 |
|i Print version:
|a Karlin, Samuel.
|t Geometry of moment spaces.
|d Providence : American Mathematical Society, 1953
|h 93 ; 26 cm
|k Memoirs of the American Mathematical Society ; no. 12
|z 9780821812129.
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| 830 |
|
0 |
|a Memoirs of the American Mathematical Society ;
|v no. 12.
|
| 856 |
4 |
0 |
|u https://ebookcentral.proquest.com/lib/ucb/detail.action?docID=3113706
|z Full Text (via ProQuest)
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| 907 |
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|a .b118784183
|b 02-28-23
|c 06-28-21
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| 956 |
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|p Can circulate
|a University of Colorado Boulder
|b Online
|c Online
|d Online
|e QA320 .K37 1953eb
|h Library of Congress classification
|i web
|n 1
|
