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| 1. |
On the Applications of Möbius Inversion in Combinatorial Analysis |
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The American Mathematical Monthly,
Volume 82,
Issue 8,
1975,
Page 789-803
BenderE. A.,
GoldmanJ. R.,
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ISSN:0002-9890
DOI:10.1080/00029890.1975.11993939
出版商:Taylor&Francis
年代:1975
数据来源: Taylor
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| 2. |
Correction to“An Elementary Proof of the Kronecker-Weber Theorem” |
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The American Mathematical Monthly,
Volume 82,
Issue 8,
1975,
Page 803-803
GreenbergM. J.,
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ISSN:0002-9890
DOI:10.1080/00029890.1975.11993940
出版商:Taylor&Francis
年代:1975
数据来源: Taylor
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| 3. |
A Computer-Assisted Study of Pursuit in a Plane |
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The American Mathematical Monthly,
Volume 82,
Issue 8,
1975,
Page 804-812
BehrooziFeredoon,
GagnonRalph,
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摘要:
AbstractThe motion of an arbitrary set of points in a plane chasing one another in cyclic pursuit is studied. Given a set of labeled points 1, 2, 3,…,n, with coordinates (x1, y1), (x2, y2,),…, (xn, yn), it is arranged for point (xi, yi) to chase point (xi+1, yi+1) along the instantaneous line joining them. To close the cycle, point (xn, yn) chases point (x1, y1). All points move with the same speed. The motion just described is called motion in“forward time.”If the sign of the time derivative operator is changed, with the result that point (xi, yi,) runs away from point (xi+1, yi+1), the motion is called motion in“reverse time.”Motion in both forward and reverse time is studied with the aid of a computer program. In forward time, it is observed that ultimately, in almost all cases tried, the points become collinear, with large maximum-to-minimum distance ratio, regardless of the shape of the initial configuration. In reverse time, it is observed that the points ultimately arrange themselves in a star pattern, with the star vertex angle less than some number in the vicinity of ninety degrees. By an analysis based on the stability of the equations of motion, the exact value of the maximum star angle is computed, as a function of the number of points.
ISSN:0002-9890
DOI:10.1080/00029890.1975.11993941
出版商:Taylor&Francis
年代:1975
数据来源: Taylor
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| 4. |
A Heuristic Principle in Complex Function Theory |
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The American Mathematical Monthly,
Volume 82,
Issue 8,
1975,
Page 813-817
ZalcmanLawrence,
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ISSN:0002-9890
DOI:10.1080/00029890.1975.11993942
出版商:Taylor&Francis
年代:1975
数据来源: Taylor
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| 5. |
Queries |
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The American Mathematical Monthly,
Volume 82,
Issue 8,
1975,
Page 818-818
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ISSN:0002-9890
DOI:10.1080/00029890.1975.11993944
出版商:Taylor&Francis
年代:1975
数据来源: Taylor
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| 6. |
A Family of Galileo Sequences |
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The American Mathematical Monthly,
Volume 82,
Issue 8,
1975,
Page 819-822
ZeitlinDavid,
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ISSN:0002-9890
DOI:10.1080/00029890.1975.11993945
出版商:Taylor&Francis
年代:1975
数据来源: Taylor
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| 7. |
Determination of Polynomials and Entire Functions |
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The American Mathematical Monthly,
Volume 82,
Issue 8,
1975,
Page 822-825
SmithJ. Denmead,
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ISSN:0002-9890
DOI:10.1080/00029890.1975.11993946
出版商:Taylor&Francis
年代:1975
数据来源: Taylor
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| 8. |
An Algebraic Characterization of Limits |
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The American Mathematical Monthly,
Volume 82,
Issue 8,
1975,
Page 825-827
GrayJ. D.,
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ISSN:0002-9890
DOI:10.1080/00029890.1975.11993947
出版商:Taylor&Francis
年代:1975
数据来源: Taylor
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| 9. |
An Integral Test for Series and Generalized Contractions |
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The American Mathematical Monthly,
Volume 82,
Issue 8,
1975,
Page 827-829
AltmanMieczyslaw,
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ISSN:0002-9890
DOI:10.1080/00029890.1975.11993948
出版商:Taylor&Francis
年代:1975
数据来源: Taylor
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| 10. |
A Vector Norm Inequality |
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The American Mathematical Monthly,
Volume 82,
Issue 8,
1975,
Page 829-830
KlamkinMurray S.,
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ISSN:0002-9890
DOI:10.1080/00029890.1975.11993949
出版商:Taylor&Francis
年代:1975
数据来源: Taylor
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