• Title/Summary/Keyword: k-regular

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Regular Exercise-training Affects Serum Lipid and Carnitine Profiles in Some College Students

  • Cha, Youn-Soo;Jung, Bok-Mi;Kim, Hyeung-Rak;Ahn, Chang-Bum;Lim, Sang-Sun
    • Preventive Nutrition and Food Science
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    • v.3 no.1
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    • pp.71-76
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    • 1998
  • This study investigated the effect of regular exercise on serum lipid profiles and carnitine levels in college students. Daily nutrient intake, anthropometry , serum lipid, and carnitine profiles in serum and urine were evaluated prior to beginning the study and after 35 days of treadmill running for 30 minutes per day. The results obtained were summarized as follows : 1) Concentrations of total lipid and Triglyceride in serum were decreased by regular exercise in female subjects but unaffected in males. 2) Serum LDL-cholesterol was significantly decreased, but total cholesterol and HDL-cholesterol in serum were not affected in both male and female subjects. 3) nonesterified carnitinem, acid-insoluble acylcarnitine, and total carnitine levels in serum were not affected, but acid-soluble acylcarnitine level was increased by regular exercise in both subjects. 4) Urinary excretionof the acid-soluble acylcarnitine level was increased by regular exercise -training. These results suggest that regular exercise -training has different effects on serum lipid oxidation via carnitine metabolism in this condition.

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Eventually Regular Regressive Generalized Transformation Semigroups

  • Wasanawichit, Amorn;Phongpattanacharoen, Teeraphong;Kemprasit, Yupaporn
    • Kyungpook Mathematical Journal
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    • v.45 no.4
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    • pp.511-518
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    • 2005
  • Necessary and sufficient conditions have been provided for some standard regressive transformation semigroups on a poset to be eventually regular. Our main purpose is to generalize this result by characterizing when their generalized semigroups are eventually regular.

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On regular groups over their endomorphism rings

  • Chung, Jae-Myung
    • Communications of the Korean Mathematical Society
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    • v.11 no.2
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    • pp.311-314
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    • 1996
  • Let G be an abelian group of finite rink and E be the endomorphism ring of G. Then G is a left E-module by defining $f\cdota = f(a)$ for $f \in E$ and $a \in G$. In this case a condition for an E-module G to be regular is given.

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A Study on the Errors Related with Constructing Regular Polygons in 'Method of Ruler and Compass' ('자와 컴퍼스의 방법'에 제시된 정다각형 작도의 오류에 대한 연구)

  • Han, In-Ki
    • Journal for History of Mathematics
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    • v.22 no.2
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    • pp.99-116
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    • 2009
  • In this paper we study errors related with constructing regular polygons in the book 'Method of Ruler and Compass' written three hundreds years ago. It is well known that regular heptagon and regular nonagon are not constructible using compass and ruler. But in this book construction methods of these regular polygons is suggested. We show that the construction methods are incorrect, it include some errors.

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HEIGHT BOUND AND PREPERIODIC POINTS FOR JOINTLY REGULAR FAMILIES OF RATIONAL MAPS

  • Lee, Chong-Gyu
    • Journal of the Korean Mathematical Society
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    • v.48 no.6
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    • pp.1171-1187
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    • 2011
  • Silverman [14] proved a height inequality for a jointly regular family of rational maps and the author [10] improved it for a jointly regular pair. In this paper, we provide the same improvement for a jointly regular family: let h : ${\mathbb{P}}_{\mathbb{Q}}^n{\rightarrow}{{\mathbb{R}}$ be the logarithmic absolute height on the projective space, let r(f) be the D-ratio of a rational map f which is de ned in [10] and let {$f_1,{\ldots},f_k|f_l:\mathbb{A}^n{\rightarrow}\mathbb{A}^n$} bbe finite set of polynomial maps which is defined over a number field K. If the intersection of the indeterminacy loci of $f_1,{\ldots},f_k$ is empty, then there is a constant C such that $ \sum\limits_{l=1}^k\frac{1}{def\;f_\iota}h(f_\iota(P))>(1+\frac{1}{r})f(P)-C$ for all $P{\in}\mathbb{A}^n$ where r= $max_{\iota=1},{\ldots},k(r(f_l))$.