| 1. |
A Problem of Leo Moser About Repeated Distances on the Sphere |
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The American Mathematical Monthly,
Volume 96,
Issue 7,
1989,
Page 569-575
ErdösPaul,
HickersonDean,
PachJános,
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摘要:
AbstractWe disprove a conjecture of Leo Moser by showing that (i) for every natural numbernand 0<α<2 there is a system ofnpoints on the unit sphereS2such that the number of pairs at distanceαfrom each other is at least const·nlog*n(where log* stands for the iterated logarithm function) (ii) for everynthere is a system ofnpoints onS2such that the number of pairs at distance√2 from each other is at least const -n4/3. We also construct a set ofnpoints in the plane in general position (no 3 on a line, no 4 on a circle) such that they determine fewer than const·nlog3/log2distinct distances, which settles a problem of Erdös.
ISSN:0002-9890
DOI:10.1080/00029890.1989.11972243
出版商:Taylor&Francis
年代:1989
数据来源: Taylor
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| 2. |
Some Recent Geometric Inequalities |
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The American Mathematical Monthly,
Volume 96,
Issue 7,
1989,
Page 576-589
AbiFaruk F.,
BoghossianArtin B.,
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ISSN:0002-9890
DOI:10.1080/00029890.1989.11972244
出版商:Taylor&Francis
年代:1989
数据来源: Taylor
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| 3. |
Kathy O'Hara's Constructive Proof of the Unimodality of the Gaussian Polynomials |
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The American Mathematical Monthly,
Volume 96,
Issue 7,
1989,
Page 590-602
ZeilbergerDoron,
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ISSN:0002-9890
DOI:10.1080/00029890.1989.11972245
出版商:Taylor&Francis
年代:1989
数据来源: Taylor
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| 4. |
Letters to the Editor |
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The American Mathematical Monthly,
Volume 96,
Issue 7,
1989,
Page 602-603
VellemanDan,
KatzVictor J.,
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ISSN:0002-9890
DOI:10.1080/00029890.1989.11972246
出版商:Taylor&Francis
年代:1989
数据来源: Taylor
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| 5. |
A Cantor Set of Nonconvergence |
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The American Mathematical Monthly,
Volume 96,
Issue 7,
1989,
Page 604-608
ArterburnDavid R.,
StoneWilliam Dean,
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ISSN:0002-9890
DOI:10.1080/00029890.1989.11972247
出版商:Taylor&Francis
年代:1989
数据来源: Taylor
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| 6. |
Merlin's Magic Square Revisited |
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The American Mathematical Monthly,
Volume 96,
Issue 7,
1989,
Page 608-610
StockDaniel L.,
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ISSN:0002-9890
DOI:10.1080/00029890.1989.11972248
出版商:Taylor&Francis
年代:1989
数据来源: Taylor
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| 7. |
The Number of Words of Lengthnin a Graph Monoid |
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The American Mathematical Monthly,
Volume 96,
Issue 7,
1989,
Page 610-614
FisherDavid C.,
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ISSN:0002-9890
DOI:10.1080/00029890.1989.11972249
出版商:Taylor&Francis
年代:1989
数据来源: Taylor
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| 8. |
On the Number of Furthest Neighbour Pairs in a Point Set |
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The American Mathematical Monthly,
Volume 96,
Issue 7,
1989,
Page 614-618
EdelsbrunnerHerbert,
SkienaSteven S.,
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ISSN:0002-9890
DOI:10.1080/00029890.1989.11972250
出版商:Taylor&Francis
年代:1989
数据来源: Taylor
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| 9. |
A Remark on Divided Differences |
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The American Mathematical Monthly,
Volume 96,
Issue 7,
1989,
Page 618-622
LeeE. T. Y.,
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ISSN:0002-9890
DOI:10.1080/00029890.1989.11972251
出版商:Taylor&Francis
年代:1989
数据来源: Taylor
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| 10. |
On (a X b) X c |
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The American Mathematical Monthly,
Volume 96,
Issue 7,
1989,
Page 623-629
ShawRonald,
YeadonFred J.,
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ISSN:0002-9890
DOI:10.1080/00029890.1989.11972252
出版商:Taylor&Francis
年代:1989
数据来源: Taylor
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