• Bulletin of the Korean Chemical Society
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• v.14 no.1
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• pp.21-29
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• 1993

For the study of relaxation processes in complex spin system, a general master equation, which can be used to simulate a vast range of pulse experiments, has been formulated using the Liouville representation of quantum mechanics. The state of a nonequilibrium spin system in magnetic field is described by a density vector in Liouville space and the time evolution of the system is followed by the application of a linear master operator to the density vector in this Liouville space. In this master equation the nuclear spin relaxation due to intramolecular dipolar interaction or randomly fluctuating field interaction is explicitly implemented as a relaxation supermatrix for a strong coupled two-spin (1/2) system. The whole dynamic information inherent in the spin system is thus contained in the density vector and the master operator. The radiofrequency pulses are applied in the same space by corresponding unitary rotational supertransformations of the density vector. If the resulting FID is analytically Fourier transformed, it is possible to represent the final nonstationary spectrum using a frequency dependent spectral vector and intensity determining shape vector. The overall algorithm including relaxation interactions is then translated into an ANSIFORTRAN computer program, which can simulate a variety of two dimensional spectra. Furthermore a new strategy is tested by simulation of multiple quantum signals to differentiate the two relaxation interaction types.

• Korean Journal of English Language and Linguistics
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• v.2 no.3
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• pp.403-430
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• 2002

With a view to providing a unitary interpretation of a lexical item, even, this paper proposes that even be understood as a quantifier. To countenance this idea, the quantifier theories will be evaluated against the implicature accounts on the basis of conceptual and empirical evidence. With the help of Bach (1999), the quantifier theories of even are regarded as most viable and plausible. On the other hand, from among different quantifier approaches even will be viewed as a quasi-universal quantifier, which means that even is similar to the universal quantifier but still it is different from it. That is, even introduces a comparison set that is context-dependent and only the salient members of this comparison set will be taken into account when an even-sentence is to be uttered. This observation is based on the formal representation for a universal quantifier in general on the one hand and the truth-conditional contribution of even to the sentence containing it.

• The Journal of the Korea institute of electronic communication sciences
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• v.9 no.4
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• pp.447-454
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• 2014

Recently most of functional synthesis methods for quantum circuit realization have a tendency to adopt the declarative functional expression more suitable for computer algorithms, so it's difficult to analysis synthesized quantum functions. This paper presents a new functional representation of quantum circuits compatible with simple architecture and intuitive thinking. The proposal of this paper is a new functional synthesis development by using the control functions as the power of corresponding to affine-controlled quantum gates based on the mathematical substitution of serial-product matrix operation over the target line for the arithmetic and modulo-2 ones between power functions of unitary operators. The functional synthesis algorithm proposed in this paper is useful for the functional expressions and synthesis using both of reversible and irreversible affine-controlled NCV-quantum gates.

• Journal of the Korean Mathematical Society
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• v.45 no.3
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• pp.597-609
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• 2008

In this paper, we will consider certain amalgamated free product structure in crossed product algebras. Let M be a von Neumann algebra acting on a Hilbert space Hand G, a group and let ${\alpha}$ : G${\rightarrow}$ AutM be an action of G on M, where AutM is the group of all automorphisms on M. Then the crossed product $\mathbb{M}=M{\times}{\alpha}$ G of M and G with respect to ${\alpha}$ is a von Neumann algebra acting on $H{\bigotimes}{\iota}^2(G)$, generated by M and $(u_g)_g{\in}G$, where $u_g$ is the unitary representation of g on ${\iota}^2(G)$. We show that $M{\times}{\alpha}(G_1\;*\;G_2)=(M\;{\times}{\alpha}\;G_1)\;*_M\;(M\;{\times}{\alpha}\;G_2)$. We compute moments and cumulants of operators in $\mathbb{M}$. By doing that, we can verify that there is a close relation between Group Freeness and Amalgamated Freeness under the crossed product. As an application, we can show that if $F_N$ is the free group with N-generators, then the crossed product algebra $L_M(F_n){\equiv}M\;{\times}{\alpha}\;F_n$ satisfies that $$L_M(F_n)=L_M(F_{{\kappa}1})\;*_M\;L_M(F_{{\kappa}2})$$, whenerver $n={\kappa}_1+{\kappa}_2\;for\;n,\;{\kappa}_1,\;{\kappa}_2{\in}\mathbb{N}$.

• Journal of the Korean Society of Costume
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• v.66 no.8
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• pp.14-32
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• 2016

This study examines the morphological expression type and formative characteristics of women's shoes designs that integrate 3D printing technology. The results of the study are as follows. First, the morphological expression types of contemporary shoes that integrate 3D printing technology express a structural form created by repetition. Second, it expresses a dynamic form, which combines organic curves that create an external volume. Third, it expresses a surrealistic form centered on an object with the creation of a unique shape that utilizes objects easily experienced in local surroundings. Fourth, it expresses a hybrid form on a partial derivation. Each of the other system's components are fused to create another beauty that develops a new value in a colorful variation on the shape of 3D printing shoes. The first formative characteristic of women's shoes designs that integrate 3D printing technology is continuity. This creates an invisible form of a new space through repetitive unidirectional layers with a gradual expansion of a unitary seamless curves. Second, it is an exaggeration. This exaggeration elicits an enormous aesthetic quality by structuring the outward space in the difference of the volume formed based on the maximization of a specific part and the volume of a line's atypical movement. Third, it is a decoration. It displays the beauty of a decoration that evokes a unique artistic inspiration by partial unification or a practical representation of a specific form. This can also be seen as superimposing a 3D printing figure that has an outstanding shape onto part of the fashion shoes. Fourth, it concerns a geometrical characteristic that formulates a new structure with rationality in combining basic shapes such as circles, triangles and squares with lines, hexagons and interconnected geometrical forms to create a multi-dimensional space for shoes in a systematic and unidirectional pattern.