• 대한수학회보
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• 제42권1호
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• pp.165-167
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• 2005

Let M = (R, +, $\cdot$, <, ... ) be an o-minimal expansion of the standard structure R = (R, +, $\cdot$, >) of the field of real numbers. We prove that if 2 $\le$ r < $\infty$, then every n-dimensional definable $C^r$ manifold is definably $C^r$ imbeddable into $R^{2n+l}$. Moreover we prove that if 1 < s < r < $\infty$, then every definable $C^s$ manifold admits a unique definable $C^r$ manifold structure up to definable $C^r$ diffeomorphism.

• 전기학회논문지
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• 제58권7호
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• pp.1411-1417
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• 2009

In this paper, we consider the design of $H_{\infty}$ control of linear discrete-time systems having no mathematical model. The basic approach is to use Q-learning which is a reinforcement learning method based on actor-critic structure. The model-free control design is to use not the mathematical model of the system but the informations on states and inputs. As a result, the derived iterative algorithm is expressed as linear matrix inequalities(LMI) of measured data from system states and inputs. It is shown that, for a sufficiently rich enough disturbance, this algorithm converges to the standard $H_{\infty}$ control solution obtained using the exact system model. A simple numerical example is given to show the usefulness of our result on practical application.

• 대한수학회보
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• 제51권1호
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• pp.139-156
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• 2014

In this paper, we investigate the error estimates of a quadratic elliptic control problem with pointwise control constraints. The state and the co-state variables are approximated by the order k = 1 Raviart-Thomas mixed finite element and the control variable is discretized by piecewise linear but discontinuous functions. Approximations of order $h^{\frac{3}{2}}$ in the $L^2$-norm and order h in the $L^{\infty}$-norm for the control variable are proved.

• 대한수학회논문집
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• 제22권2호
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• pp.209-218
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• 2007

In this paper we investigate the ${\ell}^p$ space structure of the Banach envelope of $WeakL_1$. In particular, the Banach envelope of $WeakL_1$ contains a complemented Banach sublattice that is isometrically isomorphic to the nonseparable Banach lattice ${\ell}^p$, ($1{\leq}p<\infty$) as well as the separable case.

• 대한토목학회논문집
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• 제32권2C호
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• pp.61-68
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• 2012

일반적으로 해양 말뚝기초의 경우 해양 환경적 영향 및 시공상의 오차로 인해 수직도 오차가 필연적으로 발생한다. 해양구조물의 경우 수평하중이 아닌 수직하중에 의해 설계가 지배적이나, 해상풍력발전기 기초의 경우 수평하중이 지배적이며, 블레이드 회전에 의한 동적인 운동을 하는 구조형식으로 수직도 오차가 구조적으로 중요한 영향을 끼칠 수 있다. 이에 본 연구에서는 5MW급 해상풍력발전기 모노파일 기초의 수직도 오차에 따른 기초와 지반의 구조응답 특성을 분석하였다. 해양환경하중은 ISO 기준에 의해 산정하였으며, 수직도 오차 범위는 $L/{\infty}$(=0), L/300, L/200 및 L/100로 선정하였다. 해석결과 수직도 오차가 없는 모노파일에 비해 L/100 오차를 갖는 지반의 부재력 최대 값이 약 7.2%정도 더 증가되는 것으로 분석되었다.

• 대한수학회지
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• 제56권6호
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• pp.1655-1687
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• 2019

In this paper we define a new type of cohomology for multiplicative Hom-associative algebras, which generalizes Hom-type Hochschild cohomology and fits with deformations of Hom-associative algebras including the deformation of the structure map ${\alpha}$. Moreover, we provide various observations and similarly a new type cohomology of Hom-bialgebras extending the Gerstenhaber-Schack cohomology for Hom-bialgebras and fitting with formal deformations including deformations of the structure map.

• 한국수산과학회지
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• 제36권6호
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• pp.646-653
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• 2003

Investigations were made on the population structure, sex ratio, growth, and recruitment patterns of Leptochela sydniensis in the southwestern coastal areas of Korea, between May 2000 and December 2001. Spawning period, fecundity, brood loss, reproductive output, and size at sexual maturity also were examined. The results of the sex ratio showed that females were more numerous than males during the overall study period. Parameters of growth were estimated using the modified von Bertalanffy growth function (VBGF) model incorporating seasonal variation into growth. Females grew somewhat faster and reached a larger size than males $(L\infty=12.80\;mm\;CL\;and\;K=0.70\;yr^{-1}\;or\;females,\and\;L\infty=12.08\;mm\;CL\;and\;K=0.69\;yr^{-1}$ for males). The structure of recruitment patterns obtained by the FiSAT program indicated one normally distributed group. Based on the occurrence of ovigerous females and the gonadosomatic index (GSI), the main spawning season was from June to August. Analysis of covariance indicated that brood loss was not observed during the incubation period. The size at which $50\%$ of females are mature is estimated as 5.48 mm CL.

• 한국지진공학회논문집
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• 제7권2호
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• pp.49-58
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• 2003

본 연구에서는 구조가 간단하고 경제적이며, 보수유지 면에서 능동형 진동제어 장치로서 매우 유리한 장점을 가지고 있는 선형모터 댐퍼(LMD : linear motor damper)를 개발하여 유니슨 기술연구소에 설치된 대형 철골구조물에 적용하였다. 개발된 LMD는 1,500kg의 가동질량을 갖고 있으며, 최대 $\pm$250mm의 변위로 움직일 수 있다. 제어 대상 시험구조물의 최저차 2개 진동형만을 가지는 축소모델을 사용하여 H$_{\infty}$ 제어로직을 설계하였다. 일련의 성능 검증시험을 통해 시험 구조물의 1, 2차 진동형에 대해 가속도 레벨이 약 l0dB 감소함을 확인하였다. 본 연구를 통해 개발된 LMD가 풍 및 지진하중을 받는 구조물의 진동제어용 제진장치로서 가능성이 있음을 확인하였다.

• 대한수학회지
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• 제34권4호
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• pp.859-869
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• 1997

It is shown that for $A_{k, m}$ a k-homogeneous $C^*$-algebra over $S^{2n - 1} \times S^1$ such that no non-trivial matrix algebra can be factored out of $A_{k, m}$ and $A_{k, m} \otimes M_l(C)$ has a non-trivial bundle structure for any positive integer l, we construct an $A_{k, m^-} C(S^{2n - 1} \times S^1) \otimes M_k(C)$-equivalence bimodule to show that every k-homogeneous $C^*$-algebra over $S^{2n - 1} \times S^1)$. Moreover, we prove that the tensor product of the k-homogeneous $C^*$-algebra $A_{k, m}$ with a UHF-algebra of type $p^\infty$ has the tribial bundle structure if and only if the set of prime factors of k is a subset of the set of prime factors of pp.

• 수산해양기술연구
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• 제44권4호
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• pp.312-322
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• 2008

The age and growth of the sandfish, Arctoscopus japonicus were investigated from samples of the eastern sea danish seine and gill net fishery in the East Sea of Korea from February, 2004 to December, 2007. Ages were determined from annuli in otoliths and annuli were formed between December and February once a year. Also, the main spawning period was estimated to be between December and January, thus rings were considered to be annual marks. For the relationship between fork length and total weight, a multiplicative error structure was assumed because variability in growth increased as a function of the length. The relationship between fork length and total weight were $TW=0.0083FL^{3.01}(R^2=0.966)$ for female and $TW=0.0079FL^{3.04}(R^2=0.969)$ for male. The variability in growth was constant as a function of age, revealing an additive error structure. The von Bertalanffy growth parameters estimated by a non-linear method were $L_{\infty}=31.6cm$, K=0.266/year, $t_0=-0.835$ years for female and $L_{\infty}=27.7cm$, K=0.273/year, $t_0=-0.806$ years for male. Growth at age between male and female had a significant difference(P<0.001).