• Title/Summary/Keyword: R-Bar

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Automatic Nesting and NC Cutting of Flat-Bar (선박용 플랫바의 자동 네스팅 및 가스/플라즈마에 의한 NC 절단)

  • Lee, Cheol-Soo;Park, Gwang-R.
    • IE interfaces
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    • v.9 no.3
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    • pp.283-297
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    • 1996
  • The 'flat-bar' is a stiffener which is a component of ships. It is basically a long rectangle and has 'end-cut' shapes at both sides. The paper describes a fast nesting algorithm of the flat-bar, and a procedure to generate cutting path of gas/plasma torch, which is operated by a NC (numerically controlled) gas/plasma cutting machine. Proposed procedures are written in C-language and executable on VAX machine with Open VMS operating system.

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THE UNIT TANGENT SPHERE BUNDLE WHOSE CHARACTERISTIC JACOBI OPERATOR IS PSEUDO-PARALLEL

  • Cho, Jong Taek;Chun, Sun Hyang
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.6
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    • pp.1715-1723
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    • 2016
  • We study the characteristic Jacobi operator ${\ell}={\bar{R}({\cdot},{\xi}){\xi}$ (along the Reeb flow ${\xi}$) on the unit tangent sphere bundle $T_1M$ over a Riemannian manifold ($M^n$, g). We prove that if ${\ell}$ is pseudo-parallel, i.e., ${\bar{R}{\cdot}{\ell}=L{\mathcal{Q}}({\bar{g}},{\ell})$, by a non-positive function L, then M is locally flat. Moreover, when L is a constant and $n{\neq}16$, M is of constant curvature 0 or 1.

REEB FLOW INVARIANT UNIT TANGENT SPHERE BUNDLES

  • Cho, Jong Taek;Chun, Sun Hyang
    • Honam Mathematical Journal
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    • v.36 no.4
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    • pp.805-812
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    • 2014
  • For unit tangent sphere bundles $T_1M$ with the standard contact metric structure (${\eta},\bar{g},{\phi},{\xi}$), we have two fundamental operators that is, $h=\frac{1}{2}{\pounds}_{\xi}{\phi}$ and ${\ell}=\bar{R}({\cdot},{\xi}){\xi}$, where ${\pounds}_{\xi}$ denotes Lie differentiation for the Reeb vector field ${\xi}$ and $\bar{R}$ denotes the Riemmannian curvature tensor of $T_1M$. In this paper, we study the Reeb ow invariancy of the corresponding (0, 2)-tensor fields H and L of h and ${\ell}$, respectively.

Extensions of Strongly α-semicommutative Rings

  • Ayoub, Elshokry;Ali, Eltiyeb;Liu, ZhongKui
    • Kyungpook Mathematical Journal
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    • v.58 no.2
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    • pp.203-219
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    • 2018
  • This paper is devoted to the study of strongly ${\alpha}-semicommutative$ rings, a generalization of strongly semicommutative and ${\alpha}-rigid$ rings. Although the n-by-n upper triangular matrix ring over any ring with identity is not strongly ${\bar{\alpha}}-semicommutative$ for $n{\geq}2$, we show that a special subring of the upper triangular matrix ring over a reduced ring is strongly ${\bar{\alpha}}-semicommutative$ under some additional conditions. Moreover, it is shown that if R is strongly ${\alpha}-semicommutative$ with ${\alpha}(1)=1$ and S is a domain, then the Dorroh extension D of R by S is strongly ${\bar{\alpha}}-semicommutative$.

Transport and Distribution of Calcium Salt in Tofu Manufacturing Process -Part I. Conductometric Measurement of Calcium Salt in Tofu and Drained Solution- (두부제조공정(製造工程)중 Calcium 염(鹽)의 행동(行動)과 분포(分布) -제1보(第一報). 전기전도도법(電氣傳導度法)에 의한 두부 및 순물의 Calcium 농도 측정방법(測定方法)-)

  • Yim, Sang-Bin;Lee, Choon-Ki;Chun, Jae-Kum
    • Applied Biological Chemistry
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    • v.28 no.1
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    • pp.8-12
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    • 1985
  • For measuring calcium content during the manufacturing process of Tofu, conductometric electrodes were made with the copper plate, and the results were compared with chemical analysis methods. Three types of plate material (I, II, III) for electrode were tested to apply for measuring $CaCl_2$ content in solution, drained solution from Tofu and in agar-agar gel ana Tofu. Empirical linear correlation equations between conductivity (Y, mho) and calcium content (C, Mole $\bar{C}$, mg% wet basis) were obtained for the quick estimation of calcium content during Tofu processings. Equations with plate II type electrode were Y=0.6364C+0.0775 for drained solution with r=0.99, and $Y=7.1503{\times}10^{-5}\bar{C}-2.9895{\times}10^{-3}$ for Tofu with r=0.91,respectively.

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A Study on Solvent Extraction of Metal by Salicylaldoxime (Salicylaldoxime에 의한 금속 추출에 관한 연구)

  • Shin, Jeong-Ho;Park, Sang-Wook;Park, Dae-Won;Lee, Kyung-Soo;Jeong, Kap-Seop
    • Applied Chemistry for Engineering
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    • v.4 no.1
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    • pp.46-53
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    • 1993
  • The kinetic and equilibrium characteristics of copper extraction by salicylaldoxime in chloroform and benzene were investigated. Equilibrium constants such as dissociation constant, distribution coefficient of salicylaldoxime and stability constant, distribution coefficient and molar extinction coefficient of oxime-Cu chelate were determined from absorbance. Extracted species of Cu-chelate were found to be ${\bar{CuR_2}}$. Overall initial extraction rate of copper by salicylaldoxime in chloroform was expressed by the following equation : $R=k[Cu^{2+}]{\bar{[HR]}}^{0.5}/[H^+]^{0.4}$.

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A Clinical study on 80 Cases of Alopecia Patients in the Oriental Medicine Clinic (한의원에 내원한 탈모증 환자 80명의 임상적 고찰)

  • Lee, Seung-Min;Yi, Tae-Hoo;Keum, Dong-Ho
    • Journal of Korean Medicine Rehabilitation
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    • v.15 no.2
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    • pp.141-154
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    • 2005
  • Objectives : This study was planned to evaluate clinical status of the alopecia patients who had visited oriental medicine clinic. Methods : 80 patients with alopecia, who had visited oriental medicine clinic from January 2004 to August 2004, were examined. Results & Conclusions : 1. The kinds and incidences of Alopecia : androgenetic alopecia 57.5%(46/80), alopecia areatea 20.0%(16/80), telogen effluvium 16.3%(13/80), seborrheic alopecia 6.3%(5/80). 2. In distribution of sex, the rate of male to female was 1:1 and most patients belonged to 20-30 year old group. 3. The most common onset of age was adolescence(63.8%) and the most common duration of hair loss was 1 to 3 years. 4. Among the 30 male androgenetic alopecia patients, Hamilton's type 4 was most common and among the 16 female androgenetic alopecia patients, Ludwig's type II and III were most common. 5. Family history of baldness in Androgenetic alopecia and alopecia areata were 56.5% and 25.0%, respectively. 6. Self-conscious causes of hair loss : stress(48.8%), irregular eating habits(21.3%), and lack of sleep(20.0%). 7. Associated diseases with alopecia patients : chronic neck pain(58.8%), temporomandibular disorders(55.0%) and seborrheic dermatitis(20.0%). 8. Associated symptoms with alopecia Patients : stress(78.8%), sleep disorders(68.8%), irregular eating habits(55.0%), Hot flush(43.8%), Stool disorders(43.8%), cold hands and feet(37.5%) and menstruation disorders(31.3%). 9. The most common scalp type was oily scalp(70.0%) and the symptoms of scalp were iching, dandruff, pain, inflammation. 10. $Bi{\grave{a}}n$ $zh{\grave{e}}ng$(辨證) of alopecia patients : $xu{\grave{e}}-r{\grave{e}}-f{\bar{e}}ng-z{\grave{a}}u$(血熱風燥) (25.0%), $g{\bar{a}}n-sh{\grave{e}}n-b{\grave{u}}-z{\acute{u}}$(肝腎不足) (23.8%), $shi-r{\grave{e}}-sh{\grave{a}}ng-zh{\bar{e}}ng$(濕熱上蒸) (16.3%), $xu{\grave{e}}-r{\grave{e}}-sh{\bar{e}}ng-f{\bar{e}}ng$(血熱生風) (13.8%), $xu{\grave{e}}-x{\bar{u}}-f{\bar{e}}ng-z{\grave{a}}u$(血熱風燥) (13.8%), $y{\bar{u}}-xu{\grave{e}}-z{\check{u}}-lu{\grave{o}}$(瘀血阻絡) (7.5%).