Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Wacharin Wichiramala"'
Publikováno v:
Periodica Mathematica Hungarica. 82:213-222
We settle J. Wetzel’s 1970’s conjecture and show that a $$30^{\circ }$$ circular sector of unit radius can accommodate every planar arc of unit length. Leo Moser asked in 1966 for the (convex) region with the smallest area in the plane that can a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c1572df527433bc886f421ae533c6fc
https://doi.org/10.1007/s10998-020-00354-x
https://doi.org/10.1007/s10998-020-00354-x
Autor:
Wacharin Wichiramala, John E. Wetzel
Publikováno v:
Mathematics Magazine. 92:42-46
In 1966, Moser [5] asked for the smallest (convex) set in the plane that contains a congruent copy of each planar arc of unit length (see also Moser [6]), a problem known as “the classic worm probl...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ebb792221b87dc921ef9dd98da3d7ee
https://doi.org/10.1080/0025570x.2019.1523648
https://doi.org/10.1080/0025570x.2019.1523648
Autor:
Wacharin Wichiramala
Forty years ago Schaer and Wetzel showed that a $\frac{1}{\pi}\times\frac {1}{2\pi}\sqrt{\pi^{2}-4}$ rectangle, whose area is about $0.122\,74,$ is the smallest rectangle that is a cover for the family of all closed unit arcs. More recently F\"{u}red
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c393937913890e1e63778d09b763c626
Publikováno v:
Topol. Methods Nonlinear Anal. 52, no. 2 (2018), 677-691
We prove that, in every infinite dimensional Hilbert space, there exists $t_0> -1$ such that the smallest Lipscthiz constant of retractions from the unit ball onto its boundary is the same as the smallest Lipschitz constant of retractions from the un
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b1b138f5ea827a4166367daa9bf8722
https://projecteuclid.org/euclid.tmna/1543114846
https://projecteuclid.org/euclid.tmna/1543114846
Autor:
Wacharin Wichiramala, John E. Wetzel
Publikováno v:
Journal of Combinatorics. 1:69-75
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b9d282d259253e82e14677203695f0b
https://doi.org/10.4310/joc.2010.v1.n1.a5
https://doi.org/10.4310/joc.2010.v1.n1.a5
Publikováno v:
The American Mathematical Monthly. 115:61-65
A set in the plane is a cover for a family of planar arcs if it is convex and if it contains a congruent copy of each arc of the family. For a given family of arcs, one is typically interested in the cover of least area. Although many such problems,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bbf569a7dfcb1d0569f36a1c4b6c80fd
https://doi.org/10.1080/00029890.2008.11920496
https://doi.org/10.1080/00029890.2008.11920496
Publikováno v:
Periodica Mathematica Hungarica. 55:157-168
We describe the broadest three-segment unit arc in the plane, and we conclude with some conjectures about the broadest n-segment unit arc for n > 3.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be11e56a2acbbeba800c424ba95c39dd
https://doi.org/10.1007/s10998-007-4157-9
https://doi.org/10.1007/s10998-007-4157-9
Publikováno v:
Discrete & Computational Geometry. 34:637-657
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0872b3a633faaabf0654c28dad0f1605
https://doi.org/10.1007/s00454-005-1189-8
https://doi.org/10.1007/s00454-005-1189-8
Autor:
Wacharin Wichiramala
Publikováno v:
Journal für die reine und angewandte Mathematik (Crelles Journal). 2004:1-49
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd997aac20e5de9899fe53fd1ba1a492
https://doi.org/10.1515/crll.2004.011
https://doi.org/10.1515/crll.2004.011
Autor:
Frank Morgan, Wacharin Wichiramala
Publikováno v:
Proceedings of the American Mathematical Society. 130:2745-2751
We prove that the only equilibrium double bubble in R 2 which is stable for fixed areas is the standard double bubble. This uniqueness result also holds for small stable double bubbles in surfaces, where it is new even for perimeter-minimizing double
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d0d51b2cede72751ee5b6d441ed822d
https://doi.org/10.1090/s0002-9939-02-06640-6
https://doi.org/10.1090/s0002-9939-02-06640-6