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pro vyhledávání: '"Chatchawan Panraksa"'
Autor:
Chatchawan Panraksa
Publikováno v:
Songklanakarin Journal of Science and Technology (SJST), Vol 38, Iss 4, Pp 449-451 (2016)
The knowledge space theory provides a framework for knowledge management. One of major problems is to find core information for a body of knowledge. Union closed set conjecture, if true, guarantees that for a given knowledge space, there is an info
Externí odkaz:
https://doaj.org/article/08febfe40586477c8b0f85f4496490cf
Autor:
Chatchawan Panraksa
Publikováno v:
International Journal of Number Theory. 18:1111-1129
In this paper, we study rational periodic points of polynomial [Formula: see text] over the field of rational numbers, where [Formula: see text] is an integer greater than two. For period two, we describe periodic points for degrees [Formula: see tex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::68536a9e71248a305732a6daab5ad645
https://doi.org/10.1142/s1793042122500580
https://doi.org/10.1142/s1793042122500580
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
Publikováno v:
Periodica Mathematica Hungarica. 74:235-244
Rabinowitz constructed a parametric curve of constant width and expressed it as a plane algebraic curve; however, the algebraic curve also contains isolated points separate from the original curve. We show how to modify his example in order to produc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c0ec46186695dfcd41cb0323a85d243
https://doi.org/10.1007/s10998-016-0149-9
https://doi.org/10.1007/s10998-016-0149-9
Autor:
Chatchawan Panraksa, Pornrat Ruengrot
We consider the problem of characterizing all functions $f$ defined on the set of integers modulo $n$ with the property that an average of some $n$th roots of unity determined by $f$ is always an algebraic integer. Examples of such functions with thi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ffcda1b006bc5af72a681959ca67df9
http://arxiv.org/abs/1610.07269
http://arxiv.org/abs/1610.07269
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. 37:297-299
In 1974 Gerriets and Poole conjectured for n = 3 that a convex set in the plane which contains a congruent copy of every n-segment polygonal arc of unit length must be a cover for the family of all unit arcs. We disprove this general conjecture by de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0904124cfeb866bb61269d9704e1fc79
https://doi.org/10.1007/s00454-006-1258-7
https://doi.org/10.1007/s00454-006-1258-7