• 대한수학회지
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• 제45권6호
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• pp.1705-1723
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• 2008

Let n be a 2-step nilpotent Lie algebra which has an inner product <, > and has an orthogonal decomposition $n\;=z\;{\oplus}v$ for its center z and the orthogonal complement v of z. Then Each element z of z defines a skew symmetric linear map $J_z\;:\;v\;{\longrightarrow}\;v$ given by <$J_zx$, y> = for all x, $y\;{\in}\;v$. In this paper we characterize Jacobi fields and calculate all conjugate points of a simply connected 2-step nilpotent Lie group N with its Lie algebra n satisfying $J^2_z$ = A for all $z\;{\in}\;z$, where S is a positive definite symmetric operator on z and A is a negative definite symmetric operator on v.

• East Asian mathematical journal
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• 제21권1호
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• pp.1-7
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• 2005

The object of this paper is to study($\sigma,\;\tau$)-Lie ideals in semi-prime rings with derivation. Main result is the following theorem: Let R be a semi-prime ring with 2-torsion free, $\sigma$ and $\tau$ two automorphisms of R such that $\sigma\tau=\tau\sigma$=, U be both a non-zero ($\sigma,\;\tau$)-Lie ideal and subring of R. If $d^2(U)=0$, then d(U)=0 where d a non-zero derivation of R such that $d\sigma={\sigma}d,\;d\tau={\tau}d$.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제25권2호
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• pp.135-147
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• 2018

Lu et al. [27] defined derivations on fuzzy Banach spaces and fuzzy Lie Banach spaces and proved the Hyers-Ulam stability of derivations on fuzzy Banach spaces and fuzzy Lie Banach spaces. It is easy to show that the definitions of derivations on fuzzy Banach spaces and fuzzy Lie Banach spaces are wrong and so the results of [27] are wrong. Moreover, there are a lot of seroius problems in the statements and the proofs of the results in Sections 2 and 3. In this paper, we correct the definitions of biderivations on fuzzy Banach algebras and fuzzy Lie Banach algebras and the statements of the results in [27], and prove the corrected theorems.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2004년도 추계학술대회 논문집 전력기술부문
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• pp.179-182
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• 2004

본 논문에서는 Lie Group theory에 기준한 $H_{\infty}$ 스위칭 제어기에 의한 비선형 전력계통안정화장치 (NPSS)를 설계하고 이를 1기 무한 모선에 적용하여 제안된 제어기의 제어효과 및 영향분석을 실시하였다. 이 분석에 사용된 기존의 PSS type은 Lead-lag 형태의 선형화 제어기이며, 제안된 제어기는 전력계통에 매우 강한 비선형을 반영하여 제어가 가능한 Lie Group theory에 기준한 비선형 제어기로 되어있다. 제안된 Lie Group theory에 기준한 비선형 전력계통안정화장치 (NPSS)의 효과분석은 MATLAB을 이용하여 1기 4차 비선형 전력계통의 모델에 적용하여 시뮬레이션하였다.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2004년도 추계학술대회 논문집 전력기술부문
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• pp.183-186
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• 2004

본 논문에서는 Lie Group 및 Lie Transformation의 수학적인 근원을 분석하고 이를 비선형 제어기에 제공하였다. 제어기의 구성형태는 Lead-Lag와 LQR 관측기를 결합한 혼합형 비선형 전력계통안정화장치(NPSS)이다. 이 분석에 사용된 제어기는 첫째로 기존의 PSS type인 Lead-Lag 형태의 선형화 제어기이다. 둘째로 제안된 제어기는 Lie group theory를 적용하여 이를 상태변수에 반영한 Lead-Lag와 LQR 관측기를 결합한 것이다. 제안된 혼합형 비선형 전력계통안정화장치(NPSS)의 효과분석은 MATLAB을 이용하였다. 분석모델은 1기 4차 비선형 전력계통의 모델에 적용하였다.

• 대한가정학회지
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• 제50권8호
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• pp.1-11
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• 2012

The purpose of this study is to compare and analyze the application of raditional elements in Lie Sang bong and Vivienne Tam's Fashion Design. The methods of research, the references to the precedents of prior research, fashion related journals, articles, and websites of designers were examined to analyze how each designer reinterpreted the respective homeland's traditions. The designs of Lie Sang bong and Vivienne Tam studied were from the 2002-03 F/W to the 2012 S/S collections. The results are as follow. First, both designers use traditional marks when reinterpreting the traditional clothes of Korea and China. In the case of Lie Sang bong, traditional Korean marks were linked to the western structure. For Vivienne Tam, designs which revived realistic marks identically were displayed. Second, in terms of the modern reinterpretation of the traditional clothes shapes, there were a number of cases in which the silhouettes of their respective country's traditional clothes were mainly brought into their arts. Lie Sang bong was influenced by the 'line' of traditional Korean design. In addition, the atmosphere of the traditional clothes helped to reanalyze the traditional clothes' figure. In Vivienne Tam's designs, unique Chinese images were produced by, keeping the original form of the Chinese dress. Third, in the use of the traditional ornament techniques, Lie Sang bong partially introduced and applied traditional ornament techniques while Vivienne Tam largely decorated the traditional. Chinese ornaments while directly utilizing the structuring designs.

• 대한수학회보
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• 제26권1호
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• pp.47-52
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• 1989

Methods of Riemannian geometry has played an important role in the study of compact transformation groups. Every effective action of a compact Lie group on a differential manifold leaves a Riemannian metric invariant and the study of such actions reduces to the one involving the group of isometries of a Riemannian metric on the manifold which is, a priori, a Lie group under the compact open topology. Once an action of a compact Lie group is given an invariant metric is easily constructed by the averaging method and the Lie group is naturally imbedded in the group of isometries as a Lie subgroup. But usually this invariant metric has more symmetries than those given by the original action. Therefore the first question one may ask is when one can find a Riemannian metric so that the given action coincides with the action of the full group of isometries. This seems to be a difficult question to answer which depends very much on the orbit structure and the group itself. In this paper we give a sufficient condition that a subgroup action of a compact Lie group has an invariant metric which is not invariant under the full action of the group and figure out some aspects of the action and the orbit structure regarding the invariant Riemannian metric. In fact, according to our results, this is possible if there is a larger transformation group, containing the oringnal action and either having larger orbit somewhere or having exactly the same orbit structure but with an orbit on which a Riemannian metric is ivariant under the orginal action of the group and not under that of the larger one. Recently R. Saerens and W. Zame showed that every compact Lie group can be realized as the full group of isometries of Riemannian metric. [SZ] This answers a question closely related to ours but the situation turns out to be quite different in the two problems.

• 생물정신의학
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• 제22권3호
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• pp.109-112
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• 2015

Since the early 2000s, there has been a continued interest in lie detection using functional magnetic resonance imaging (fMRI) in neuroscience and forensic sciences, as well as in newly emerging fields including neuroethics and neurolaw. Related fMRI studies have revealed converging evidence that brain regions including the prefrontal cortex, anterior cingulate cortex, parietal cortex, and anterior insula are associated with deceptive behavior. However, fMRI-based lie detection has thus far not been generally accepted as evidence in court, as methodological shortcomings, generalizability issues, and ethical and legal concerns are yet to be resolved. In the present review, we aim to illustrate these achievements and limitations of fMRI-based lie detection.

• Journal of Microbiology and Biotechnology
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• 제5권4호
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• pp.200-205
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• 1995

Nutritional factors regulating the morphological differentiation and physiological differentiation of Streptomyces exfoliatus SMF13 on surface cultures were evaluated. S. exfoliatus SMF13 produced leupeptin and chymotrypsin-like protease (CTP) at the stage of substrate mycelium growth, and leupeptin-inactivating enzyme (LIE) and trypsin-like protease (TLP) at the stage of aerial mycelium growth. The activity of leupeptin and CTP was high in the region of active growing substrate mycelium, whereas the activity of LIE and TLP was high in the region of aerial mycelium or spores. The differentiations were induced in glucose-limited conditions or by the addition of glucose anti-metabolite (methyl $\alpha$-glucopyranoside), but repressed by high concentrations of glucose or casamino acids. Morphological differentiation (formation of aerial mycelia and spores) was closely related with physiological differentiation (formation of brown-pigment, LIE and TLP). The local distribution of leupeptin, CTP, LIE, and TLP in a developing colony showed that colony development correlated with the production and functions of the compounds: CTP is essential for providing a nitrogen source for mycelium growth: leupeptin regulates TLP activity: LIE inactivates leupeptin: TLP hydrolyzes nongrowing mycelium.

• 대한수학회보
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• 제34권3호
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• pp.459-468
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• 1997

The purpose of this paper is to give some characterizations of homogeneous real hypersurfaces of type A in complex space forms $M_n(c), c \neq 0$, in terms of Lie derivatives.