Zobrazeno 1 - 10 of 368 pro vyhledávání: '"M. S. Klamkin"'
1
The product of the distances of a point inside a regular polytope to its vertices
Autor: Gulbank D. Chakerian, M. S. Klamkin
Publikováno v: Journal of Geometry. 86:31-41
We show that the maximum of the product of the distances from a point inside an n-dimensional regular simplex, cross-polytope or cube to the vertices is attained at the midpoint of an edge for small n, but is attained at symmetrically placed pairs on
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3d6d59e2f7dc9f28f24eff53fce650c9
https://doi.org/10.1007/s00022-006-1813-7
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8
Extensions of an elementary geometric inequality
Autor: A. Meir, M. S. Klamkin
Publikováno v: Aequationes Mathematicae. 26:197-207
In an earlier paper [1], it was shown that a careful examination and generalization of an elementary problem can lead to interesting non-trivial results. The starting point for this note is a problem of the 12 th Canadian Mathematics Olympiad (1980),
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9478fd44f0a5dfb095ed6c442d5f695d
https://doi.org/10.1007/bf02189683
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10
Moving Axes and the Principle of the Complementary Function
Autor: M. S. Klamkin
Publikováno v: SIAM Review. 16:295-302
It is known that if a projectile is directly aimed and shot at a particle which is simultaneously allowed to fall from rest, both being subject to only a uniform gravitational field, then the projectile will hit the particle. The result follows easil
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0a02450c550f337f09594dd8dd620abb
https://doi.org/10.1137/1016051
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