• Title/Summary/Keyword: ${\alpha} -C_2S$

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Properties of a Surface Curvature in Toric Lens (토릭렌즈의 표면 곡률 특성 연구)

  • Park, Sang-An;Kim, Yong-Geun
    • Journal of Korean Ophthalmic Optics Society
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    • v.6 no.2
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    • pp.65-70
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    • 2001
  • We obtained the sum of two curvature ($C_x+C_y$) in toric lens which two toroidal surface is the right angle each other. $$C_x+C_y=\frac{x^2+y^2}{2r_1}+\frac{x^2}{2}(\frac{1}{r_2}-\frac{1}{r_1})$$ and the sum of two curvature ($C_a+C_b$) in toric lens about the cross angle. $$(C_a+C_b)=\frac{x^2cos^2{\alpha}_1}{2r_1}+\frac{x^2cos^2{\alpha}_2}{2r_2}+\frac{y^2sin^2{\alpha}_1}{2r_1}+\frac{y^2sin^2{\alpha}_2}{2r_2}$$ and claculated the parameter S, C, ${\theta}$ of a combination power in toric lens of the cross angle including surface curvature ($C_x$, $C_y$) values. $$S=(n-1)\[\frac{C_x}{x^2}+\frac{C_y}{y^2}\]-\frac{C}{2},\;C=-\frac{2(n-1)}{sin2{\theta}}\[\frac{C_x}{x^2}+\frac{C_y}{y^2}\]$$ $${\theta}=\frac{1}{2}tan^{-1}\[-\frac{{C_xy^2sin2{\theta}_1}+{C_yx^2sin2{\theta}_2}}{{C_xy^2cos2{\theta}_1}+{C_yx^2cos2{\theta}_2}}\]$$.

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On Lorentzian α-Sasakian Manifolds

  • Yildiz, Ahmet;Murathan, Cengizhan
    • Kyungpook Mathematical Journal
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    • v.45 no.1
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    • pp.95-103
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    • 2005
  • The present paper deals with Lorentzian ${\alpha}-Sasakian$ manifolds with conformally flat and quasi conform ally flat curvature tensor. It is shown that in both cases, the manifold is locally isometric with a sphere $S^{2^{n}+1}(c)$. Further it is shown that an Lorentzian ${\alpha}-Sasakian$ manifold with R(X, Y).C = 0 is locally isometric with a sphere $S^{2^{n}+1}(c)$, where c = ${\alpha}^2$.

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A SINGULAR FUNCTION FROM STURMIAN CONTINUED FRACTIONS

  • Kwon, DoYong
    • Journal of the Korean Mathematical Society
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    • v.56 no.4
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    • pp.1049-1061
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    • 2019
  • For ${\alpha}{\geq}1$, let $s_{\alpha}(n)={\lceil}{\alpha}n{\rceil}-{\lceil}{\alpha}(n-1){\rceil}$. A continued fraction $C({\alpha})=[0;s_{\alpha}(1),s_{\alpha}(2),{\ldots}]$ is considered and analyzed. Appealing to Diophantine approximation, we investigate the differentiability of $C({\alpha})$, and then show its singularity.

Sodium Chloride Regulation of $\alpha$ENaC, ET-1, and COX-2 Genes: A Possible Implication of Hypertension (고혈압 관련 측면에서의 alphaENaC, ET-1, cox-2 유전자의 소금에 의한 조절 기전)

  • Lee, Young-Joo
    • Proceedings of the Korean Society of Applied Pharmacology
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    • 2003.04a
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    • pp.113-130
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    • 2003
  • 1. We have established a model system to study sodium chloride, an environmental factor, induced gene regulations. 2. ${\alpha}$ENaC, cox-2, and c-fos genes are regulated by sodium chloride at mRNA level as well as at protein level. 3. Regulation of ${\alpha}$ENaC requires syntheses of new protein(s). 4. COX-2 may have a important role for homeostasis in hypertonic situation.

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A COMPARATIVE STUDY OF PRESERVING ABILITY OF HUMAN PERIODONTAL LIGAMENT CELLS STORED IN DIFFERENT TEMPERATURED STORAGE MEDI (저장용액의 온도에 따른 치주인대세포의 생존율)

  • Jo, Jae-Hyun;Kim, Seong-Oh;Choi, Hyung-Jun;Lee, Jae-Ho;Son, Heung-Kyu;Choi, Byung-Jai
    • Journal of the korean academy of Pediatric Dentistry
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    • v.34 no.1
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    • pp.36-42
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    • 2007
  • To compare the survival rate of periodontal ligament cells preserved in storage media with good availability at the time of an avulsion injury, periodontal ligament cells were incubated in ${\alpha}-MEM$ culture medium containing 10% FBS in condition of $37^{\circ}C$, 5% $CO_2$. These cells were then cultured in HBSS, ${\alpha}-MEM$, milk(S co., P. co.) and tap water at the temperature of 4, 25, $37^{\circ}C$ each in 60 min. The groups were measured by MTT assay. The results were as follows : 1. Among the storage media at $4^{\circ}C$, ${\alpha}-MEM$ and P-milk had the highest preserving ability of periodontal ligament cells, while that of HBSS S-milk and tap was low in order. 2. Among the storage media at $25^{\circ}C$, ${\alpha}-MEM$ had the highest preserving ability of periodontal ligament cells, while that of P-milk, HBSS, S-milk, tap water was low in order. 3. Among the storage media at $37^{\circ}C$, the preserving ability of periodontal ligament cells was very high in ${\alpha}-MEM$, P-milk, HBSS and S-milk, it's lowest in tap water. 4. The preserving ability of periodontal ligament cells in ${\alpha}-MEM$ was high at $4^{\circ}C$ and it's low in order of $25^{\circ}C$, $37^{\circ}C$, but in HBSS was high at $4^{\circ}C$ and it's low at $25^{\circ}C$, $37^{\circ}C$ 5. The preserving ability of periodontal ligament cells in S-milk and P-milk was high at $4^{\circ}C$, $25^{\circ}C$ and it s low at $37^{\circ}C$. In conclusion, HBSS is the storage medium of choice in an avulsion, but in this study it is preferable to choose milk at $4^{\circ}C$ for tooth since it is easy to get and affect cell viability.

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Properties of Modified Belite Cement with the Content of Clinker Minerals (클링커 광물 함량 변화시 Modified belite Cement의 특성)

  • 최연묵;이양수;김남호;최상홀
    • Journal of the Korean Ceramic Society
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    • v.35 no.5
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    • pp.479-485
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    • 1998
  • Raw mateials such as limestone quartzite bauxite and anhydrite were used in the production of mod-ified beloite cement. Two kinds of clinker were synthesized with relatively higher content of $C_2S$ than that of $C_4A_3{\={S}}$ Concerning $C_2S$ the main mineral component borax ($Na_2O\;2B_2O_3\;10H_2O$) was added to stimu-late hydraulic reactivity and this would be possible by stabilizing ${\alpha}'-C_2S$ at room temperature. We had in-tended to compare burning and hydraulic characteristics of clinkers with one another by varying the amount of borax addition and to study the appropriate amount of anhydrite addition needed in the strengthening of cement during hydration. It was concluded that the effective amount of borax addition ne-eded for stabilization of ${\alpha}'-C_2S$ was 5 wt% in 60wt% $C_2S$ inclusive clinker and adding anhydrite in the ra-tio of 1.3 of $SO_3/Al_3O_3$ was appropriate in the production of cement by this clinker. Only ettringite was seen to contribute to the strength without additives but C-S-H was found to form along with ettringite with the addition of borax in the initial stage of hydration.

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Properties of the Modified Belite Cement with Slag (슬래그를 혼합한 개량형 벨라이트 시멘트의 특성)

  • 안태호;박원기;박동철;심광보;최상홀
    • Journal of the Korean Ceramic Society
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    • v.36 no.7
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    • pp.685-690
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    • 1999
  • Modified belite cement clinker containing $\alpha$'-C2S and C4A3 were syntehsized form the mixture of raw materials. $\alpha$'-C2S was stabilized at room temperature by adding borax. Properties of the clinker were charaterized with a XRD, SEM, TEM The additive effects of slag on the hydration properties were also estimated by measurement of compressive strength fluidity and heat evolution. The experimental results exhibited that the addition of slag to the belite cement improves the fluidity and early compressive strength due to the formation of ettringite and C-S-H. The compressive strengths of the mortar with 20% slag after 7, 90 days hydration were 212, 355 kgf/cm2 respectively.

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Fabrication of $Al_2O_3$/SiC Hybrid-Composite ($Al_2O_3$/SiC Hybrid-Composite의 제조)

  • Lee, Su-Yeong;Im, Gyeong-Ho;Jeon, Byeong-Se
    • 연구논문집
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    • s.26
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    • pp.103-112
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    • 1996
  • $Al_2O_3/SiC$ Hybrid-Composite has been fabricated by conventional powder process. The addition of $\alpha-Al_2O_3$ as seed particles in the transformation of $\gamma-Al_2O_3 to $\alpha-Al_2O_3$ provided a homogeneity of the microstructure, resulting in increase of mechanical properties. The grain growth of $Al_2O_3$ are significantly surpressed by the addition of nano-sized. SiC particles, increasing in fracture strength. The addition of SiC plates to $Al_2O_3$ nano-composite decreased the fracture strength, but increased the fracture toughness. Coated SiC plates with nitrides such as BN and /SiC$Si_3N_4$ enhanced fracture toughness much more than uncoated SiC plates by inducing crack deflection.

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ON SUBCLASSES OF UNIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS

  • Owa, Shigeyoshi;Aouf, M.K.
    • East Asian mathematical journal
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    • v.4
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    • pp.57-73
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    • 1988
  • The subclasses S*($\alpha,\beta,\mu$) and C*($\alpha,\beta,\mu$) ($0\leqq\alpha<1,\;0<\beta\leqq1$ and $0\leqq\mu\leqq1$) of T the class of analytic and univalent functions of the form $$f(z)=z-\sum\limit^{\infty}_{n=2}\mid a_n\mid z^n$$ have been considered. Sharp results concerning coefficients, distortion of functions belonging to S*($\alpha,\beta,\mu$) and C*($\alpha,\beta,\mu$) are determined along with a representation formula for the functions in S*($\alpha,\beta,\mu$). Furthermore, it is shown that the classes S*($\alpha,\beta,\mu$) and C*($\alpha,\beta,\mu$) are closed under arithmetic mean and convex linear combinations. Also in this paper, we find extreme points and support points for these classes.

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Is that possible to simulate daily runoff with one parameter? (하나 매개변수로 유출 모의 가능한가?)

  • Noh, Jaekyoung;An, Hyunuk;Lee, Jaenam
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.29-29
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    • 2017
  • 유역의 물수지를 강수, 증발산, 토양수분저류, 유출 등 성분으로 구성하고, 토양수분저류 상태에 따라 증발산과 유출이 변화하는 식을 기본식으로 구성하였으며, 물수지를 개선하는 매개변수를 변수화하는 개념을 도입하여 다음 식의 모형을 개발하였다. 여기서, ETa는 실제증발산량, ETo는 잠재증발산량, Q는 유출량, S는 토양수분저류량이고, C1은 증발산, C2, ${\alpha}$는 유출반응, C3, C4는 매개변수 ${\alpha}$를 변수화시키는 데 관련한 매개변수이다. $$ETa(i)=(1-e^{-c1{\times}s(i)}){\times}ETo_{(i)}$$ $$Q_{(i)}=S_{(i)}{\times}(1-e^{-c2{\times}s(i)})^{[(c3+e^{-c4{\times}s(i)}){\times}a]}$$ 모형의 검증을 위해 Monte Calro 기법으로 최적 매개변수를 결정한 결과 수많은 매개변수 조합이 최적영역에 분포되는 것을 확인하였으며, 이를 바탕으로 매개변수 하나만 남겨 놓고 나머지 매개변수는 상수화시켜도 모의결과가 똑같다는 결과를 관찰하였으며, 이를 토대로 하나 매개변수만으로 일 유출 모의가 가능하다고 결론을 내렸다. 하나의 매개변수는 ${\alpha}$를 우선 추천하고, C1도 유역의 토지이용에 따라 증발산이 변화하기 때문에 의미있다고 판단하고 있다. 하나의 매개변수를 결정하는 방법은 유출 자료가 있으면 유출량으로, 없으면 유출률을 맞추는 방법이며, 일반화하기 쉽고 실용성이 매우 높은 것으로 평가된다. 유역면적 $209km^2$인 보령댐의 2007년부터 2009년까지 Monte Calro 기법으로 매개변수를 결정한 결과 C1=0.0196, C2=0.0023, C3=0.3230, C4=0.0051, ${\alpha}=2.3304$ 이었으며, 이 때 연평균 강우량 1221.2mm, 유출량 651.2mm, 유출률 53.3%이었으며, $R^2=0.833$, RMSE=2.073, NSE=0.831이었고, 관측 유출량 610.8mm, 유출률 50.0%였다. 매개변수 C1, C2, C3, C4를 고정시키고 유출률 50%에 이를 때 ${\alpha}$는 2.6946이었으며, 이 때 $R^2=0.831$, RMSE=2.102, NSE=0.826이었고, 매개변수 C2, C3, C4, ${\alpha}$를 고정시키고 유출률 50%에 이를 때 C1은 0.0255이었으며, 이 때 $R^2=0.833$, RMSE=2.083, NSE=0.829이었다. 한편 똑같은 자료로 탱크모형은 $R^2=0.79$, RMSE=2.43, NSE=0.77이었고, SWAT 모형은 $R^2=0.56$, RMSE=3.97, NSE=0.40으로 나타난 것과 비교할 때, 개발된 모형의 성능이 우수한 것이라 결론내릴 수 있었다.

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