• East Asian mathematical journal
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• 제19권1호
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• pp.133-150
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• 2003

This paper will show that the relation (1.1) $$L^1({\Omega}){\subset}C_0(\bar{\Omega}){\subset}H_{p,q}$$ if 1/p'-1/n(1-2/q')<0 where p'=p/(p-1) and q'=q/(q-1) where $H_{p.q}=(W^{1,p}_0,W^{-1,p})_{1/q,q}$. We also intend to investigate the control problems for the retarded systems with $L^1(\Omega)$-valued controller in $H_{p,q}$.

• 건축역사연구
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• 제6권3호
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• pp.129-143
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• 1997

The perspective representation and its effect that appeared in the tombs and mural paintings of koguryo are summarized as follows: First, The inside structure of the tombs is likely to show the deepness effect, placing each function in the front and both sides centering around the mane pillars and creating the boundaries and the spaces that have various visibility between the inside and outside spaces of the structure just like a traditional Korean house shows. In addition, The deepness effect is emphasized by suggesting that the spaces are countinued with a storage attached behind the main house or by forming the level and deployment in a narrow space like the scene that a large array is looked out from the main house. Second, The deepness effect is expressed by making the form of ceiling turn to a vertical space of an ascending image, constructing it just as the lotus lamp ceiling of a wooden architecture or drawing it just like the imaginary heavenly world with the sun the moon and mythical fairies and animals spread in it. Thried, The perspective effect is disclosed by drawing the mural pictures in an equally set bird's-eye view without regard to the disfance proportion according to the conceptual visualization which is not a visual penetration, adopting the multiple view points and moving view points that are moving around as an important manner of seeing. Fourth, The deepness effect is emphasized through the scene of changing spaces when they are looked out far or looked into depending on a viewpoint of the daily life by forming the fromes of paintings that we made up with actual pillars, Du Gong, crossbeams or that are painted in most tombs. Fifth, The rich spatial senses are reflected by originating the characters of the three directions, level, deployment and ascending. An example which can support the conclusion of this study can be given here. that is, the construction ground plan of a dwelling house of a nobleman at the end of Koguryo as a remain which was excavated at Dongdae Ja in Jip An.

• 대한수학회논문집
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• 제14권1호
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• pp.157-169
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• 1999

We consider the C\ulcorner-algebra O\ulcorner generated by infinite isometries \ulcorner,\ulcorner, …on Hilbert spaces with the property \ulcorner \ulcorner$\leq$1 for every n$\in$N. We present certain type of representations of C\ulcorner-algerbra O\ulcorner on a separable Hilbert space and study the conditions for irreducibility of these representations.

• Kyungpook Mathematical Journal
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• 제28권2호
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• pp.221-226
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• 1988

Using the method of eigenfunction expantion of self adjoint operators, we establish the necessary and sufficient conditions for a reflection positive generalized matrix kernel to be represented in an integral form. This integral converges in the cosidered spaces.

• 대한수학회지
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• 제33권4호
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• pp.955-982
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• 1996

In surface compression applications, one of the main issues is how to efficiently store and calculate the computer representation of certain surfaces. This leads us to consider a nonlinear approximation by box splines with free knots since, for instance, the nonlinear method based on wavelet decomposition gives efficient compression and recovery algorithms for such surfaces (cf. [12]).

• 대한수학회보
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• 제33권2호
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• pp.303-310
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• 1996

The Gottlieb group of a compact connected ANR X, G(X), consists of all $\alpha \in \prod_{1}(X)$ such that there is an associated map $A : S^1 \times X \to X$ and a homotopy commutative diagram $$ S^1 \times X \longrightarrow^A X $$ $$incl \uparrow \nearrow \alpha \vee id $$ $$ S^1 \vee X $$.

• 한국실내디자인학회논문집
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• 제25권1호
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• pp.35-46
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• 2016

The purpose of this study was to identify the characteristics of expressionism in the space of deconstructive architecture by comparing the spaces of "The Cabinet of Dr. Caligari" video with the expressionist characteristics of film narrative structure and expressionist architecture and making an expansion based on the results. The findings were as follows: first, the "The Cabinet of Dr. Caligari" is divided into two set spaces: one has the perspective representation distorted in the viewpoint of a mad person applied to it, and the other reflects the viewpoint of a normal person from medieval paintings with no perspective. Second, the expressionist buildings did not reflect the expressionist characteristics in the interior spaces as fully as in the exterior ones. Third, the incomplete combination of Signifiant and $Signifi{\acute{e}}$, which were the theoretical basis of deconstructive architecture, showed a tendency of binary opposition like the double narrative structure of "The Cabinet of Dr. Caligari." Fourth, deconstructive architecture seems to embody the exterior form and interior space of "The Cabinet of Dr. Caligari" and its set spaces in the phenomenal aspect but exhibits its limitations with the realization of dynamics, one of the characteristics of expressionism. Finally, the Seattle Public Library presents the best embodiment of expressionist characteristics found in the set spaces of "The Cabinet of Dr. Caligari" while seeking after the combination of horizontal and vertical paths of action through the spiral ramps and inclined slabs.

• 충청수학회지
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• 제23권3호
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• pp.523-534
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• 2010

In this paper, we consider the weighted Bloch spaces ${\mathcal{B}}_q$(q > 0) on the open unit ball in ${\mathbb{C}}^n$. We prove a certain integral representation theorem that is used to determine the degree of growth of the functions in the space ${\mathcal{B}}_q$ for q > 0. This means that for each q > 0, the Banach dual of $L_a^1$ is ${\mathcal{B}}_q$ and the Banach dual of ${\mathcal{B}}_{q,0}$ is $L_a^1$ for each $q{\geq}1$.

• 대한수학회지
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• 제52권1호
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• pp.177-190
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• 2015

Let X be a completely regular Hausdorff space, and E and F be Banach spaces. Let $C_{rc}(X,E)$ be the Banach space of all continuous functions $f:X{\rightarrow}E$ such that f(X) is a relatively compact set in E. We establish an integral representation theorem for bounded linear operators $T:C_{rc}(X,E){\rightarrow}F$. We characterize continuous operators from $C_{rc}(X,E)$, provided with the strict topologies ${\beta}_z(X,E)$ ($z={\sigma},{\tau}$) to F, in terms of their representing operator-valued measures.

• 한국항행학회논문지
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• 제11권1호
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• pp.99-104
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• 2007

온라인 아바타 커뮤니티서비스를 위해서는 의사소통, 감정표현, 유행하는 춤 등을 자연스럽게 표현해야하며 다양한 서비스를 제공해야한다. 또한 공간이 동적이며 아바타의 움직임과 공간과의 상호 작용이 필요하며, 3D 아바타의 개발에서 경쟁력을 갖추기 위해서는 아바타가 자연스러운 동작과 재미있고 다양한 동작과 가상공간의 인터렉티브가 함께 구현되어야 한다. 3D 아바타는 전자상거래를 위한 3차원쇼핑몰, 사이버 모델하우스, 3차원 시뮬레이션, 3차원 가상현실 게임 등의 폭넓은 영역에서 응용 될 것으로 기대된다. 이에 온라인 3D 아바타 커뮤니티서비스를 위해서 3D 아바타 애니메이션과 함께 인터렉티브 가상공간을 제작하고 그 방법을 제시하고자 한다.