• Title/Summary/Keyword: $<_+$-stable

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The Stable Embeddability on Modules over Complex Simple Lie Algebras

  • Kim, Dong-Seok
    • Journal of the Korean Data and Information Science Society
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    • v.18 no.3
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    • pp.827-832
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    • 2007
  • Several partial orders on integral partitions have been studied with many applications such as majorizations, capacities of quantum memory and embeddabilities of matrix algebras. In particular, the embeddability, stable embeddability and strong-stable embeddability problems arise for finite dimensional irreducible modules over a complex simple Lie algebra L. We find a sufficient condition for an L-module strong-stably embeds into another L-module using formal character theory.

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STABLE RANK OF TWISTED CROSSED PRODUCTS OF $C^{*}-ALGEBRAS$ BY ABELIAN GROUPS

  • Sudo, Takahiro
    • The Pure and Applied Mathematics
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    • v.10 no.2
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    • pp.103-118
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    • 2003
  • We estimate the stable rank of twisted crossed products of $C^{*}-algebras$ by topological Abelian groups. As an application we estimate the stable rank of twisted crossed products of $C^{*}-algebras$ by solvable Lie groups. In particular, we obtain the stable rank estimate of twisted group $C^{*}-algebras$ of solvable Lie groups by the (reduced) dimension and (generalized) rank of groups.

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On the Transition between Stable Steady States in a Model of Biochemical System with Positive Feedback

  • Kim, Cheol-Ju;Lee, Dong-Jae;Shin, Kook-Joe
    • Bulletin of the Korean Chemical Society
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    • v.11 no.6
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    • pp.557-560
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    • 1990
  • The transition from one stable steady state branch to another stable steady state branch in a simple metabolic system with positive feedback is discussed with the aid of the bimodal Gaussian probability distribution method. Fluctuations lead to transitions from one stable steady state branch to the other, so that the bimodal Gaussian evolves to a new distribution. We also obtain the fractional occupancies in the two stable steady states in terms of a parameter characterizing conditions of the system.

Comparison of the Differences in AI-Generated Images Using Midjourney and Stable Diffusion (Midjourney와 Stable Diffusion을 이용한 AI 생성 이미지의 차이 비교)

  • Linh Bui Duong Hoai;Kang-Hee Lee
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2023.07a
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    • pp.563-564
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    • 2023
  • Midjourney and Stable Diffusion are two popular AI-generated image programs nowadays. With AI's outstanding image-generation capabilities, everyone can create artistic paintings in just a few minutes. Therefore, "Comparison of differences between AI-generated images using Midjourney and Stable Diffusion" will help see each program's advantages and assist the users in identifying the tool suitable for their needs.

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Stable Rank of Group C*-algebras of Some Disconnected Lie Groups

  • Sudo, Takahiro
    • Kyungpook Mathematical Journal
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    • v.47 no.2
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    • pp.203-219
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    • 2007
  • We estimate the stable rank and connected stable rank of group $C^*$-algebra of certain disconnected solvable Lie groups such as semi-direct products of connected solvable Lie groups by the integers.

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First- and Second-best Pricing in Stable Dynamic Models (안정동력학 모형에서 최선 통행료 및 차선 통행료)

  • Park, Koo-Hyun
    • Journal of the Korean Operations Research and Management Science Society
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    • v.34 no.4
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    • pp.123-138
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    • 2009
  • This study examined the first- and second-best pricing by stable dynamics in congested transportation networks. Stable dynamics, suggested by Nesterov and de Palma (2003), is a new model which describes and provides a stable state of congestion in urban transportation networks. The first-best pricing in user equilibrium models introduces user-equilibrium in the system-equilibrium by tolling the difference between the marginal social cost and the marginal private cost on each link. Nevertheless, the second-best pricing, which levies the toll on some, but not all, links, is relevant from the practical point of view. In comparison with the user equilibrium model, the stable dynamic model provides a solution equivalent to system-equilibrium if it is focused on link flows. Therefore the toll interval on each link, which keeps up the system-equilibrium, is more meaningful than the first-best pricing. In addition, the second-best pricing in stable dynamic models is the same as the first-best pricing since the toll interval is separately given by each link. As an effect of congestion pricing in stable dynamic models, we can remove the inefficiency of the network with inefficient Braess links by levying a toll on the Braess link. We present a numerical example applied to the network with 6 nodes and 9 links, including 2 Braess links.

Comparison of Activity of the Muscles around the Shoulders during Push Up and Push Up Plus Exercises under Diverse Stabilization Conditions

  • Lee, Han Ki;Lee, Jun Cheol;Yoon, Seong Min
    • Journal of International Academy of Physical Therapy Research
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    • v.6 no.1
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    • pp.815-823
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    • 2015
  • This study aimed to examine the most effective exercise method for shoulder joint rehabilitation by comparatively observing activity of shoulder stabilizer muscles during push up and push up plus exercises under diverse stable conditions. The subjects were 20 healthy adults students who went to M university. While the subjects conducted push up and push up plus exercises under diverse stable conditions(a stable surface, a support of 25cm height, a support of 30 cm height and a balance pad), activities of the upper trapezius muscle, pectoralis major muscle, serratus anterior muscle, and triceps brachii muscle were recorded. During push up and push up plus exercises, activities of the stabilizer muscles were higher when the stable condition was changed rather than on the stable surface. In particular, when the support of 30cm height and balance pads were applied, activity of the shoulder stabilizer was highest. There were significant differences in the upper trapezius muscle and triceps brachii muscle during the push up exercise(p<.05) and in the serratus anterior muscle during the push up plus exercise(p<.05). Activities of the shoulder stabilizers were higher when the upper and lower limbs' surface stable conditions were changed than the stable surface. Therefore, when programs for rehabilitation of shoulder joints are applied, provision of diverse stable conditions according to patients' conditions will be effective methods.

The Difference of Trunk Muscle Activities In Trunk Stabilization on the Stable and Unstable Surface. (안정한 지지면과 불안정한 지지면에서의 자세에 따른 체간안정화 근육 활성도 비교)

  • Kim, Suhyon
    • Journal of The Korean Society of Integrative Medicine
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    • v.6 no.2
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    • pp.37-44
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    • 2018
  • Purpose : The aim of this study is to compare the trunk muscle activities in trunk stabilization on the stable and unstable supporting surfaces using by sEMG. Methods : The subjects of this study include seventeen male. We measured sEMG activities of rectus abdominis and erector spine in subjects during trunk stabilization such as plank exercise, quadruped position, quadruped position with rising hand and foot on the stable and unstable surface. Results : sEMG activities in plank exercise was significantly higher in left rectus abdominis and left erector spine on unstable surface then stable surface (p<.05). sEMG activities of left rectus abdominis and left erector spine in quadruped position was significantly higher in unstable surface than stable surface (p<.05). In comparison with posture, Plank exercise showed a significant difference increase other postures (p<.05). Conclusion : sEMG activities of muscle in trunk stabilization was significantly higher in unstable surface than stable surface and plank exercise. So, we suggest that trunk stabilization on the unstable supporting surface and plank exercise were more effective method than stable surface to improve trunk muscles activities.

Quantitative Recognition of Stable State of EEG using Wavelet Transform and Power Spectrum Analysis (웨이브렛 변환과 파워스펙트럼 분석을 통한 EEG 안정상태의 정량적 인식)

  • Kim, Young-Sear;Park, Seung-Hwan;Nam, Do-Hyun;Kim, Jong-Ki;Kil, Se-Kee;Min, Hong-Ki
    • Journal of the Institute of Convergence Signal Processing
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    • v.8 no.3
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    • pp.178-184
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    • 2007
  • The EEG signal in general can be categorized as the Alpha wave, the Beta wave, the Theta wave, and the Delta wave. The alpha wave, showed in stable state, is the dominant wave for a human EEG and the beta wave displays the excited state. The subject of this paper was to recognize the stable state of EEG quantitatively using wavelet transform and power spectrum analysis. We decomposed EEG signal into the alpha wave and the beta wave in the process of wavelet transform, and calculated each power spectrum of EEG signal, using Fast Fourier Transform. And then we calculated the stable state quantitatively by stable state ratio, defined as the power spectrum of the alpha wave over that of the beta wave. The study showed that it took more than 10 minutes to reach the stable state from the normal activity in 69 % of the subjects, 5 -10 minutes in 9%, and less than 5 minutes in 16 %.

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A Study on the Relation between Respiration and EEG in Stable State (안정상태에서의 뇌파와 호흡의 연관성에 관한 연구)

  • Kim, Young-Sear;Min, Hong-Ki
    • Journal of IKEEE
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    • v.12 no.4
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    • pp.204-210
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    • 2008
  • Generally, among the EEG signal, alpha wave is said to be strongly appeared in stable state and beta wave in active state. And in oriental medicine, it is said that relative long and regular respiration shows stable state rather than short and irregular respiration. In this paper, we tried to find out relation between respiration and EEG in stable state using quantitative parameters such as stable state ratio and equivalent ratio of respiration which was defined to indicate the degree of stable state quantitatively. And we verified our proposal by the real experiment for 20 persons.

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