• 한국재료학회지
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• 제31권12호
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• pp.682-689
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• 2021

NbC, HfC, TaC, and their solid solution ceramics have been identified as the best materials for ultrahigh-temperature ceramics. However, their structural stability and elastic properties are mostly unclear. Thus, we investigated structure and elastic properties of (Nb_1-xTa_x)C and (Nb_1-xHf_x)C solid solutions via ab initio calculations. Our calculated results show that the stability of (Nb_1-xTa_x)C and (Nb_1-xHf_x)C increases with the increase of Hf and Ta content, and (Nb_1-xHf_x)C is more stable than (Nb_1-xTa_x)C at the same content of Hf and Ta. The lattice constants decrease with increasing of Hf and Ta content. (Nb_1-xTa_x)C and (Nb_1-xHf_x)C carbides are mechanically stable and brittle. Bulk modulus of (Nb_1-xTa_x)C increases with increasing Ta content. In contrast, bulk modulus of (Nb_1-xHf_x)C decreases with increasing Hf content. Hardness of solid solutions shows the highest values at the (Nb_0.25Ta_0.75)C and (Nb_0.75Hf_0.25)C. In particular, (Nb_0.75Hf_0.25)C shows the highest hardness for the current system. The results indicate that the overall mechanical properties of (Nb_1-xHf_x)C solid solutions are superior to those of (Nb_1-xTa_x)C solid solutions. Therefore, controlling the Hf and Ta element and content of the (Nb_1-xTa_x)C and (Nb_1-xHf_x)C Solid solution is crucial for optimizing the material properties.

• 한국수학사학회지
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• 제18권4호
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• pp.113-124
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• 2005

티코노프공간 X에 대하여 C(X)와 $C^*(X)$는 Riesz-공간이다 C(X)가 순서-코시완비일 필요충분한조건은 X가 quasi-F 공간이고, X가 컴팩트공간이며 QF(X)가 X의 극소 quasi-F cover일 때, C(X)의 순서-코시완비화와 C(QF(X))는 동형이다. 본 논문에서는 quasi-F 공간의 정의와 극소 quasi-F cover의 구성에 관한 동기 및 역사적 배경을 살펴본다.

• Kyungpook Mathematical Journal
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• 제46권4호
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• pp.503-507
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• 2006

Let X be a Tychonoff space and ${\sum}(X)$ the set of all the subrings of C(X) that contain $C^*(X)$. For any A(X) in ${\sum}(X)$ suppose $_{{\upsilon}A}X$ is the largest subspace of ${\beta}X$ containing X to which each function in A(X) can be extended continuously. Let us write A(X) ~ B(X) if and only if $_{{\upsilon}A}X=_{{\upsilon}B}X$, thereby defining an equivalence relation on ${\sum}(X)$. We have shown that an A(X) in ${\sum}(X)$ is isomorphic to C(Y ) for some space Y if and only if A(X) is the largest member of its equivalence class if and only if there exists a subspace T of ${\beta}X$ with the property that A(X)={$f{\in}C(X):f^*(p)$ is real for each $p$ in T}, $f^*$ being the unique continuous extension of $f$ in C(X) from ${\beta}X$ to $\mathbb{R}^*$, the one point compactification of $\mathbb{R}$. As a consequence it follows that if X is a realcompact space in which every $C^*$-embedded subset is closed, then C(X) is never isomorphic to any A(X) in ${\sum}(X)$ without being equal to it.

• 한국안광학회지
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• 제6권2호
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• pp.65-70
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• 2001

두 개의 토로이드 면이 서로 직각인 토릭렌즈의 두 곡률의 합($C_x+C_y$)는 $$C_x+C_y=\frac{x^2+y^2}{2r_1}+\frac{x^2}{2}(\frac{1}{r_2}-\frac{1}{r_1})$$이며, 사축인 토릭렌즈의 두 곡률의 합 ($C_a+C_b$)은 $$(C_a+C_b)=\frac{x^2cos^2{\alpha}_1}{2r_1}+\frac{x^2cos^2{\alpha}_2}{2r_2}+\frac{y^2sin^2{\alpha}_1}{2r_1}+\frac{y^2sin^2{\alpha}_2}{2r_2}$$이다. $(C_1+C_2)+(C_1+C_2)_{90^{\circ}}$는 구면의 곡률 합$S_{S_1}+S_{S_2}$과 같은 값을 얻었다. 표면 곡률(Cx, Cy) 값을 포함한 사축 토릭렌즈의 합성 굴절력의 parameter S, C, ${\theta}$ 값을 다음과 같다. $$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}\[-\frac{{C_xy^2sin2{\theta}_1}+{C_yx^2sin2{\theta}_2}}{{C_xy^2cos2{\theta}_1}+{C_yx^2cos2{\theta}_2}}\]$$.

• 대한수학회지
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• 제34권4호
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• pp.1009-1018
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• 1997

Observing that for any $\beta_c$-Wallman functor $A$ and any Tychonoff space X, there is a cover $(C_1(A(X), X), c_1)$ of X such that X is $A$-disconnected if and only if $c_1 : C_1(A(X), X) \longrightarrow X$ is a homeomorphism, we show that every Tychonoff space has the minimal $A$-disconnected cover. We also show that if X is weakly Lindelof or locally compact zero-dimensional space, then the minimal G-disconnected (equivalently, cloz)-cover is given by the space $C_1(A(X), X)$ which is a dense subspace of $E_cc(\betaX)$.

• 한국잠사곤충학회지
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• 제36권1호
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• pp.8-25
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• 1994

본 시험은 누에 일대잡종육종에 있어 양질다사량 우량품종을 육성하기 위한 유전적 정보를 얻고자 수행되었다. 공급재료는 특성이 각각 다른 일, 중, 구 3개지역 6개 품종을 정역으로 이면교잡시켜 F1, F2 각각 30조합으로서 실용형질에 대한 육종가를 얻기 위해 교배조합별 잡종강세 및 조합능력의 검정한 결과는 다음과 같았다. 1. 형질들의 잡종강세는 사질형질인 견사량, 견사장에서 각각 24.51% 및 23.43%로 높았고, 견질형질인 전사종 및 사층중은 15.56%~15.71%, 17.14%~19.01%로서 유의한 강세를 보였으나 유충경과일수 등(5령 및 전령)에서는 부의 잡종강세를 나타내어 그 이용이 유의하였다. 2. 교배조합간의 잡종강세는 5령경과일수의 경우 C70 X Romogua, N9 X Romogua 조합이 높은 부의 강세현상을 보여 사육일수가 단축되는 방향으로, 전견중은 N9 X Romogua, N9 X Romogua 조합이 높은 강세현상을 보여 사육일수가 단축되는 방향으로, 전견중은 N9 X Sansurian의 암, Romogua X Sansurian의 수, 견층중은 암수에 관계없이, N9 X Sansurian의 견사장과 견사량에서는 Sansurian X Romogua의 정역간 교잡에서 각각 높았다. 3. 잡종강세의 모본효과는 N9 X C5, N63 X C70이 전견중과 견층중에서, 견사장에서는 Sansurian이 N63, C5 및 C70과 교잡될 때, 또한 견사량에서는 N9 X C70, N63 X C70이 각각 큰 경향이었다. 4. F1의 조합능력에서 분사량은 GCA, SCA 및 RCA의 전형질에서 유의하여 F1의 조합능력은 상가적 효과와 비상가적 효과가 함께 작용하였으나 형질에 따른 정역간 차이도 컸었다. 5. GCA의 효과는 경과일수에서는 Sansurian이 N9, C5가 견질형질(견장, 견폭, 전견중, 전층중 및 견층비율)과 사질형질(견사장, 견자량 및 생사량비율)에서 세대에 관계없이 높은 정의 효과를 나타내었다. 6. F1의 SCA효과에서 5령경과일수는 Sansurian X C70, romogua X C70, Sansurian X C5, Romogua X C5 등 구주종계와 중국종계간의 교잡에서 전견중과 견층중은 N9 X C5, C70 X Sansurian 이 암수에 관계없이, 또한 Rogmogua X Sansurian, N9 X C5가 F1, F2 간에, 견사량은 Romogua X N63 조합에서, 생사량비율은 Sansurian X Romogua 조합에서 각각 높게 평가되었다.

• 대한수학회지
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• 제36권6호
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• pp.1047-1059
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• 1999

Let $C(X)(C_{K}(X))$ denote the hyperspace of all nonempty closed connected subsets (subcontinua) of a locally compact Haus-dorff space X with the Fell topology. We prove that the following statements are equivalent: (1) X is locally connected. (2) C(X) is locally connected,. (3) C(X) is locally connected at each $E{\in}C_{k}(X).(4) C_{k}(X)$ is locally connected.

• 호남수학학술지
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• 제36권4호
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• pp.913-919
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• 2014

We investigate the relationships between the space X and the hyperspaces concerning admissibility and connectedness im kleinen. The following results are obtained: Let X be a Hausdorff continuum, and let A, $B{\in}C(X)$ with $A{\subset}B$. (1) If X is c.i.k. at A, then X is c.i.k. at B if and only if B is admissible. (2) If A is admissible and C(X) is c.i.k. at A, then for each open set U containing A there is a continuum K and a neighborhood V of A such that $V{\subset}IntK{\subset}K{\subset}U$. (3) If for each open subset U of X containing A, there is a continuum B in C(X) such that $A{\subset}B{\subset}U$ and X is c.i.k. at B, then X is c.i.k. at A. (4) If X is not c.i.k. at a point x of X, then there is an open set U containing x and there is a sequence $\{S_i\}^{\infty}_{i=1}$ of components of $\bar{U}$ such that $S_i{\longrightarrow}S$ where S is a nondegenerate continuum containing the point x and $S_i{\cap}S={\emptyset}$ for each i = 1, 2, ${\cdots}$.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 1998년도 하계종합학술대회논문집
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• pp.449-452
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• 1998

We have studied the oxidatio nrte of $Si_{1-x}Ge_{x}$ epitaxial layer grown by MBE(molecular beam epitaxy). Oxidation were performed at 700.deg. C, 800.deg. C, 900.deg. C, and 1000.deg. C. After the oxidation, the results of AES(auger electron spectroscopy) showed that Ge was completely rejected out of the oxide and pile up at $SiO_{2}/$Si_{1-x}Ge_{x}$ interface. It is shown that the presence of Ge at the $SiO_{2}$/$Si_{1-x}Ge_{x}$ interface changes the dry oxidation rate. The dry oxidation rate was equal to that of pure Si regardless of Ge mole fraction at 700.deg. C and 800.deg.C, while it was decreased at both 900.deg. C and 1000.deg.C as the Ge mole fraction was increased. The ry oxidation rates were reduced for heavy Ge concentration, and large oxidation time. In the parabolic growth region of $Si_{1-x}Ge_{x}$ oxidation, The parabolic rate constant are decreased due to the presence of Ge-rich layer. After the longer oxidation at the 1000.deg.C, AES showed that Ge peak distribution at the $SiO_{2}$/$Si_{1-x}Ge_{x}$ interface reduced by interdiffusion of silicon and germanium.

• 대한수학회논문집
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• 제9권2호
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• pp.299-302
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• 1994

Throughout this paper, let X be a compact Hausdorff space, and let C(X) (resp. $C_{R}$ /(X)) be the complex (resp. real) Banach algebra of all continuous complex-valued (resp. real-valued) functions on X with the pointwise operations and the supremum norm x. A Banach function algebra on X is a Banach algebra lying in C(X) which separates the points of X and contains the constants. A Banach function algebra on X equipped with the supremum norm is called a uniform algebra on X, that is, a uniformly closed subalgebra of C(X) which separates the points of X and contains the constants.(omitted)