• Korean Journal of Mathematics
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• 제23권3호
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• pp.447-456
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• 2015

In this paper we show that some operators defined on the Banach space with an unconditional basis and $L^1({\mu})$ into a Banach space with the RNP have liftable operators.

• 한국지하수토양환경학회지:지하수토양환경
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• 제20권3호
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• pp.51-64
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• 2015

In the present study, we develop two history matching techniques based on Markov chain Monte Carlo method where radial basis function and Gaussian distribution generated by unconditional geostatistical simulation are employed as the random walk transition kernels. The Bayesian inverse methods for aquifer characterization as the developed models can be effectively applied to the condition even when the targeted information such as hydraulic conductivity is absent and there are transient hydraulic head records due to imposed stress at observation wells. The model which uses unconditional simulation as random walk transition kernel has advantage in that spatial statistics can be directly associated with the predictions. The model using radial basis function network shares the same advantages as the model with unconditional simulation, yet the radial basis function network based the model does not require external geostatistical techniques. Also, by employing radial basis function as transition kernel, multi-scale nested structures can be rigorously addressed. In the validations of the developed models, the overall predictabilities of both models are sound by showing high correlation coefficient between the reference and the predicted. In terms of the model performance, the model with radial basis function network has higher error reduction rate and computational efficiency than with unconditional geostatistical simulation.

• 대한수학회보
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• 제38권1호
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• pp.65-69
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• 2001

For any closed subspace X of $\ell_p, \; 1<\kappa<\infty$, K(X) is proximinal in L(X), and if X is a Banach space with an unconditional shrinking basis, then K(X, c$_0$) is proximinal in L(X,$ \ell_\infty$).

• Korean Journal of Mathematics
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• 제31권4호
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• pp.385-389
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• 2023

In this article, we prove that an infinite dimensional complemented subspace X of 𝓛₁-space Z with unconditional basis (x_n) has the lifting property. Hence we can give an alternative proof that X is isomorphic to ℓ₁ given by Lindenstrauss and Pelczyński.

• Structural Engineering and Mechanics
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• 제75권5호
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• pp.541-557
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• 2020

A novel family of controllable, dissipative structure-dependent integration methods is derived from an eigen-based theory, where the concept of the eigenmode can give a solid theoretical basis for the feasibility of this type of integration methods. In fact, the concepts of eigen-decomposition and modal superposition are involved in solving a multiple degree of freedom system. The total solution of a coupled equation of motion consists of each modal solution of the uncoupled equation of motion. Hence, an eigen-dependent integration method is proposed to solve each modal equation of motion and an approximate solution can be yielded via modal superposition with only the first few modes of interest for inertial problems. All the eigen-dependent integration methods combine to form a structure-dependent integration method. Some key assumptions and new techniques are combined to successfully develop this family of integration methods. In addition, this family of integration methods can be either explicitly or implicitly implemented. Except for stability property, both explicit and implicit implementations have almost the same numerical properties. An explicit implementation is more computationally efficient than for an implicit implementation since it can combine unconditional stability and explicit formulation simultaneously. As a result, an explicit implementation is preferred over an implicit implementation. This family of integration methods can have the same numerical properties as those of the WBZ-α method for linear elastic systems. Besides, its stability and accuracy performance for solving nonlinear systems is also almost the same as those of the WBZ-α method. It is evident from numerical experiments that an explicit implementation of this family of integration methods can save many computational efforts when compared to conventional implicit methods, such as the WBZ-α method.

• 한국심리학회지 : 문화 및 사회문제
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• 제10권2호
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• pp.103-137
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• 2004

이 연구에서는 청소년과 부모의 인간관계를 통해 본 신뢰의식을 탐구하기 위해 토착심리학적 접근을 시도하였다. 이를 위해 청소년이 부모, 교사, 친구에 대해 신뢰하는 이유와, 청소년의 부모집단이 자녀, 배우자, 교사에 대해 신뢰하는 이유를 규명하고자 하였다. 또한 청소년과 부모집단이 다양한 인간관계에서 각 사람을 신뢰하는 정도를 비교하였다. 분석대상은 총 1,737명이었으며, 청소년(중-274명, 고-305명)과 그들의 부(579명) 모(579명)로 구성되었다. 분석 결과, 청소년들이 부모를 신뢰하는 가장 대표적인 이유는 부모의 '희생'이었으며, 그 다음으로 '혈연관계'가 부각되었으며, 이외에 '존경함' '나를 믿어줌' '의지가 됨' '지도와 조언'어 포함되었다. 교사를 신뢰하는 이유로는 '학업 지도'와 '스승에 대한 무조건 신뢰'가 대표적인 이유였으며, '아껴주고 관심있음' '존경함' '상담과 인성지도' '부모와 같은 존재' '학생들을 위한 고생과 희생'이 포함되었다. 친구 신뢰의 이유로서 '의지가 됨' '친밀함' '친구에 대한 무조건 신뢰' '나를 이해함'이 지적되었는데, 정서적 지원의 중요성이 시사되었다. 또한 부모가 자녀를 신뢰하는 이유로 '성실함'과 '정직함'과 같은 도덕성의 측면이 강조되었고, '혈연관계' '자녀에 대한 기대와 대화' '순종함' '학업에 충실'이 신뢰의 이유로 나타났다. 배우자를 신뢰하는 이유로는 '성실함' '가족을 위한 헌신' '정직함' '배우자에 대한 무조건 신뢰' '대화와 상호배려'의 순서로 지적되었다. 학부모 입장에서 교사를 신뢰하는 이유로는 '교육자에 대한 무조건 신뢰' '학생 이해와 사랑' '성실함'이 중요하였다. 한편 학교수준별 성별 학업성적별 청소년집단의 부모, 친구, 교사에 대한 신뢰의 정도를 비교한 결과, 중 고등학생별로 부모에 대한 신뢰는 차이가 없었으나, 중학생이 교사를, 고등학생이 친구를 더욱 신뢰하였다. 또한 성별로는 남자가 여자보다, 학업성적별로는 상집단이 하집단보다 부모나 교사 및 친구를 더욱 신뢰하였다. 연령별 성별 학력별 부모집단의 자녀, 배우자, 교사에 대한 신뢰 정도를 비교한 결과, 의미있는 차이가 없었다. 부모와 자녀의 인간관계 신뢰 정도를 상호 비교한 결과, 아버지와 어머니의 배우자신뢰와 자녀신뢰 정도는 자녀의 부모신뢰 정도와 정적 상관이 있었으며, 어머니의 교사신뢰와 자녀의 교사신뢰 수준도 정적 관계를 보였다.

• 한국연소학회:학술대회논문집
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• 한국연소학회 2002년도 제24회 KOSCO SYMPOSIUM 논문집
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• pp.41-45
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• 2002

The zone-conditioned CMC equations are derived by taking an unconditional average of the generic conservation equations multiplied by delta and Heaviside functions in terms of mixture fraction and reaction progress variable. The resulting equations are essentially in the same form as the single zone CMC equations except for separate flow fields for burned and unburned gas. The zone-conditioned two-fluid equations are applied to a stagnating turbulent premixed flame brush of Cheng and Shepherd[5l. It is shown that the flame stretch factor is of crucial importance to accurately reproduce the measured mean reaction progress variable and conditional velocities. Further work is in progress for the relationship between surface and volume averages and extension to partially premixed combustion on the basis of a triple flame structure, e. g. in a lifted turbulent diffusion flame.

• 대한수학회지
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• 제41권1호
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• pp.209-229
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• 2004

Let $\Sigma_{$\mid$\alpha$\mid$=m}\;s_{\alpha}z^{\alpha},\;z\;{\in}\;{\mathbb{C}}^n$ be a unimodular m-homogeneous polynomial in n variables (i.e. $$\mid$s_{\alpha}$\mid$\;=\;1$ for all multi indices $\alpha$), and let $R\;{\subset}\;{\mathbb{C}}^n$ be a (bounded complete) Reinhardt domain. We give lower bounds for the maximum modules $sup_{z\;{\in}\;R\;$\mid$\Sigma_{$\mid$\alpha$\mid$=m}\;s_{\alpha}z^{\alpha}$\mid$$, and upper estimates for the average of these maximum moduli taken over all possible m-homogeneous Bernoulli polynomials (i.e. $s_{\alpha}\;=\;{\pm}1$ for all multi indices $\alpha$). Examples show that for a fixed degree m our estimates, for rather large classes of domains R, are asymptotically optimal in the dimension n.

• 동의생리병리학회지
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• 제20권1호
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• pp.1-9
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• 2006

To accept folk remedies in view of oriental medicine and to use as one of social health materials, 1 have looked for the phase institution of folk remedies in the oriental medicine and their adopting method to the oriental medicine, on the basis of the present social-communicating situation, the degree of interest in folk remedies among people and oriental medicine doctors and the content of folk remedies in Dongyibogam(東醫寶鑑). The results are following; The researches of relative importance in the folk remedy's meaning of Dongyibogam show that the proper use can help disease cured, not by unconditional choice but by symptoms. The use of folk remedies are different from the prescription in the oriental medicine, as showing the type and ratio of folk remedies and prescriptions in Dongyibogam. When considering used materials, forms and time in the meaningful content of folk remedies in Dongyibogam, they established two categories. One is radical treatment on acute disease by short-term use. The other is slow treatment on chronic disease by long-term use. For wide application to people, they also had the prudent attitude to accept symptom-oriented treatment and tried to connect with syndrome which needed diagnosis as precisely as possible.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제17권8호
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• pp.2083-2100
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• 2023

The rise of Industry 5.0 has led to a smarter and more digital way of doing business, but with it comes the issue of user privacy and security. Only when privacy and security issues are addressed, will users be able to transact online with greater peace of mind. Thus, to address the security and privacy problems associated with industry blockchain technology, we propose a privacy protection scheme for online financial transactions based on verifiable ring signatures and blockchain by comparing and combining the unconditional anonymity provided by ring signatures with the high integrity provided by blockchain technology. Firstly, we present an algorithm for verifying ring signature based on distributed key generation, which can ensure the integrity of transaction data. Secondly, by using the block chain technique, we choose the proxy node to send the plaintext message into the block chain, and guarantee the security of the asset transaction. On this basis, the designed scheme is subjected to a security analysis to verify that it is completely anonymous, verifiable and unerasable. The protection of user privacy can be achieved while enabling online transactions. Finally, it is shown that the proposed method is more effective and practical than other similar solutions in performance assessment and simulation. It is proved that the scheme is a safe and efficient online financial transaction ring signature scheme.