• Kyungpook Mathematical Journal
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• 제46권1호
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• pp.111-118
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• 2006

The present paper investigates the weighted $L^1$-convergence of Gr$\ddot{u}$nwald interpolatory operators based on the zeros of the second Chebyshev polynomials $U_n(x)=\frac{sin(n+1)\theta}{sin\theta}$. The approximation rate is sharp.

• 대한수학회보
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• 제38권4호
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• pp.663-668
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• 2001

X and Y are Banach spaces for which K(X, Y), the space of compact operators from X to Y, is an M-ideal in L(X, Y), the space of bounded linear operators form X to Y. If Z is a closed subspace of Y such that L(X, Z) has property SU in L(X, Y) and d(T, K(X, Z)) = d(T, K(X, Y)) for all $T \in L(X, Z)$, then K(X, Z) is an M-ideal in L(X, Z) if and only if it has property SU is L(X, Z).

• Journal of Microbiology and Biotechnology
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• 제18권4호
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• pp.639-647
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• 2008

The heat-inducible expression vectors for Corynebacterium glutamicum and C. ammoniagenes were constructed by using the ${\lambda}O_L1$ and the cryptic promoters, CJ1 and CJ4 that express genes constitutively in C. ammoniagenes. Although the promoters were isolated from C. ammoniagenes, CJ1 and CJ4 were also active in C. glutamicum. To construct vectors, the $O_L1$ from the ${\lambda}P_L$ promoter was isolated and fused to the CJ1 and CJ4 promoters by recombinant PCR. The resulting artificial promoters, CJ1O and CJ4O, which have one ${\lambda}O_L1$, and CJ1OX2, which has two successive ${\lambda}O_L1$, were fused to the green fluorescent protein (GFP) gene followed by subcloning into pCES208. The expression of GFP in the corynebacteria harboring the vectors was regulated successfully by the temperature-sensitive cI857 repressor. Among them, C. ammoniagenes harboring plasmid pCJ1OX2G containing GFP fused to CJ1OX2 showed more GFP than the other ones and the expression was tightly regulated by the repressor. To construct the generally applicable expression vector using the plasmid pCJ1OX2G, the His-tag, enterokinase (EK) moiety, and the MCS were inserted in front of the GFP gene. Using the vector, the expression of pyrR from C. glutamicum was tried by temperature shift-up. The results indicated that the constructed vectors (pCeHEMG) can be successfully used in the expression and regulation of foreign genes in corynebacteria.

• 호남수학학술지
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• 제29권1호
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• pp.19-40
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• 2007

Let L be the differential operator, Lu = $u_{tt}+u_{xxxx}$. We consider nonlinear beam equations, Lu + $bu^+$ = j, in H, where H is the Hilbert space spanned by eigenfunctions of L. We reveal the existence of multiple solutions of the nonlinear beam problems by critical point theorems.

• 대한수학회지
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• 제32권4호
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• pp.775-784
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• 1995

Let $H$ be a separable, infnite dimensional, complex Hilbert space and let $L(H)$ denote the algebra of all bounded linear operators on $H$.

• 대한수학회보
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• 제53권3호
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• pp.885-902
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• 2016

In this paper we begin the study of $L_k$-2-type hypersurfaces of a hypersphere ${\mathbb{S}}^{n+1}{\subset}{\mathbb{R}}^{n+2}$ for $k{\geq}1$ Let ${\psi}:M^3{\rightarrow}{\mathbb{S}}^4$ be an orientable $H_k$-hypersurface, which is not an open portion of a hypersphere. Then $M^3$ is of $L_k$-2-type if and only if $M^3$ is a Clifford tori ${\mathbb{S}}^1(r_1){\times}{\mathbb{S}}^2(r_2)$, $r^2_1+r^2_2=1$, for appropriate radii, or a tube $T^r(V^2)$ of appropriate constant radius r around the Veronese embedding of the real projective plane ${\mathbb{R}}P^2({\sqrt{3}})$.

• 대한방사선기술학회지:방사선기술과학
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• 제35권1호
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• pp.1-7
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• 2012

현재 골다공증 진단은 주로 이중에너지 방사선 흡수법(Dual Energy X-ray Absorptiometry, DEXA) 을 사용 하고 있다. DEXA에 의한 골밀도 측정 시 발생할 수 있는 오차는 크게 검사자, 골밀도 측정기, 피검자에 의해 발생하며 그 중 검사자의 관심영역(ROI, Region of interest)설정에 의한 골밀도 측정값의 오차의 정도를 알아보았다. 2011년 3월~6월에 골다공증 진단 및 치료를 위한 목적으로 본 병원을 내원한 환자 40대, 50대, 60대, 70대 각각 50명씩을 선별하여 대퇴골과 요추에서 골밀도 측정을 각각 두 번씩 측정하였다. 평상시에 하던 ROI 설정으로 측정(검사방법 A)하고, ROI를 최대한 넓게 변형하여 측정(검사방법 B), 두 번 측정하여 검사방법 A와 B측정값의 차이를 비교하여 검사자의 ROI변형에 의해서 발생할 수 있는 T-score의 최대 측정오차의 정도를 알아보았다. 대퇴부의 대퇴경(Femur neck)에서 T-score가 표준편차 0.1만큼 B측정값이 골밀도가 높게 측정되었고, 전자부(Greater trocanter)와 전자간부(Inter trocanter), Ward's area에서도 각각 표준편차 0.2만큼 B측정값이 높게 측정되었다. 요추부에서 A측정값과 B측정값의 오차 정도는 L-1에서 T-score가 표준편차 0.1만큼 B측정값이 낮게 측정되었고, L-2와 L-3는 변화가 없었으며 L-4에서는 표준편차 0.2만큼 B측정값이 낮게 측정되었다. 따라서 200명 환자의 골밀도 측정에서 대퇴부에서는 ROI를 크게 변화시켰을 때 실제보다 골밀도가 더 높은 것으로 나타났고, 요추부에서는 실제보다 골밀도가 더 낮은 것으로 나타났다. 검사자의 ROI 설정변화에 따라 환자는 골다공증이 될 수도 있고 골조송증이 될 수도 있다. 이것은 환자의 골다공증 약제의 보험수가와 직접적인 관계가 있기 때문에 검사자는 항상 일정한 관심영역을 설정하여 의사의 진료와 환자의 치료에 도움이 되는 검사를 해야 할 것이다.

• 대한수학회지
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• 제32권4호
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• pp.889-895
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• 1995

Let $H$ be a separable, infinite dimensional, complex Hilbert space and let $L(H)$ denote the algebra of all bounded linear operators on $H$.

• Korean Journal of Mathematics
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• 제7권2호
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• pp.207-213
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• 1999

In this paper we estimate a lower bound of the Banach-Mazur distance between a finite dimensional nonlocally convex space and its Banach envelope space by investigating the properties of the nonlocally convex space and the projection constant which are obtained by factoring the identity operator through $l^k_{\infty}$ on the quasi-normed spaces.

• Journal of applied mathematics & informatics
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• 제27권1_2호
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• pp.195-203
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• 2009

In this paper, a necessary and sufficient condition for lattice sampling theorem to hold for frame in subspaces of $L^2$(R) is established. In addition, we obtain the formula of lattice sampling function in frequency space. Furthermore, by discussing the parameters in Theorem 3.1, some corresponding corollaries are derived.