• 제목/요약/키워드: Extension method

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Basis Translation Matrix between Two Isomorphic Extension Fields via Optimal Normal Basis

  • Nogami, Yasuyuki;Namba, Ryo;Morikawa, Yoshitaka
    • ETRI Journal
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    • 제30권2호
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    • pp.326-334
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    • 2008
  • This paper proposes a method for generating a basis translation matrix between isomorphic extension fields. To generate a basis translation matrix, we need the equality correspondence of a basis between the isomorphic extension fields. Consider an extension field $F_{p^m}$ where p is characteristic. As a brute force method, when $p^m$ is small, we can check the equality correspondence by using the minimal polynomial of a basis element; however, when $p^m$ is large, it becomes too difficult. The proposed methods are based on the fact that Type I and Type II optimal normal bases (ONBs) can be easily identified in each isomorphic extension field. The proposed methods efficiently use Type I and Type II ONBs and can generate a pair of basis translation matrices within 15 ms on Pentium 4 (3.6 GHz) when $mlog_2p$ = 160.

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On methods for extending a single footfall trace into a continuous force curve for floor vibration serviceability analysis

  • Chen, Jun;Peng, Yixin;Ye, Ting
    • Structural Engineering and Mechanics
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    • 제46권2호
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    • pp.179-196
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    • 2013
  • An experimentally measured single footfall trace (SFT) from a walking subject needs to be extended into a continuous force curve, which can then be used as load for floor vibration serviceability assessment, or on which further analysis like discrete Fourier transform can be conducted. This paper investigates the accuracy, applicability and parametrical sensitivity of four extension methods, Methods I to IV, which extends the SFT into a continuous time history by the walking step rate, stride time, double support proportion and the double support time, respectively. Performance of the four methods was assessed by comparing their results with the experimentally obtained reference footfall traces in the time and frequency domain, and by comparing the vibrational response of a concrete slab subjected to the extended traces to that of reference traces. The effect of the extension parameter on each method was also explored through parametrical analysis. This study finds that, in general, Method I and II perform better than Method III and IV, and all of the four methods are sensitive to their extension parameter. When reliable information of walking rate or gait period is available in the test, Methods I or II is a better choice. Otherwise, Method III, with the suggested extension parameter of double support time proportion, is recommended.

후면 덧쌓기에 따른 농업용 저수지 제체의 안정성 평가 (Safety evaluation of agricultural reservoir embankment according to backside extension)

  • 이달원;노재진
    • 농업과학연구
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    • 제39권1호
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    • pp.97-110
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    • 2012
  • This study was carried out for safety evaluation, the practical application and improvement of design method of the agricultural reservoir embankment according to backside extension. Seepage analysis, slope stability analysis and finite element analysis were performed for steady state and transient conditions. Also, the pore water pressure, seepage quantity, safety factor and stress-strain behavior according to high water level and rapid drawdown were compared and analyzed. The pore water pressure at contact region between backside extension and old embankment was kept high after rapid drawdown. Therefore, backside extension is recommended that design method is required to be improved and reinforced more than the others raising embankment. The hydraulic gradients before and after backside extension showed high value at the base of the core, but they showed stable state at the upstream slope and downstream slope. The seepage quantity per 1 day and the leakage per 100 m for the steady state and transient conditions appeared to be safe against the piping. The safety factor of slope stability showed high at the steady state, and transient conditions did not show differences depending on the rapid drawdown. The safety factor was appeared high at the upstream slope before backside extension and downstream slope after extension. The excess pore water pressure for steady state and transient conditions showed negative(-) at the upstream slope, it was small at the downstream slope. The mean effective stress (p') showed high at the base of the core and to be wild distribution after the extension. The displacement after extension showed 0.02-0.06 m in the upstream slope, the maximum shear strain after extension was smaller than that before extension.

목뼈와 등뼈 폄 복합운동이 척주세움근 근활성도에 미치는 영향 (Effects of Combined Extension Exercises for the Cervical and Thoracic Spine on the Activity of Erector Spinae Muscles)

  • 김대진;강민혁
    • PNF and Movement
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    • 제21권3호
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    • pp.299-307
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    • 2023
  • Purpose: The purpose of this study was to compare the effects of new exercises (combined cervical and thoracic extension exercises) with those of conventional cervical extensor strengthening exercises (sitting cervical extension exercises) and thoracic extensor strengthening exercises (prone thoracic extension exercises). Method: Fifteen healthy subjects performed sitting cervical extension exercises, prone thoracic extension exercises, and combined cervical and thoracic extension exercises. During each exercise, electromyography was used to measure muscle activity in the erector spinae with C4 and T4 levels. The measured data were analyzed using one-way repeated analysis of variance. Results: With different exercises, there were significant differences in activity in the erector spinae muscle (p < 0.05). The activity in the erector spinae muscle increased significantly during the combined cervical and thoracic extension exercises compared to the sitting cervical extension (p < 0.05) and prone thoracic extension exercises (p < 0.05). The sitting cervical extension exercises significantly increased activity in the cervical erector spinae muscle compared to the prone thoracic extension exercises (p < 0.05). Activity in the thoracic erector spinae muscles was significantly increased during the prone thoracic extension exercises compared to during the sitting cervical extension exercises (p < 0.05). Conclusion: These findings suggest that the newer exercises effectively increase activity in the cervical and thoracic extensor muscles.

확장그라우팅 공법이 적용된 쏘일네일링의 거동특성 (Characteristics of Soil-Nailing Applied to Extension-Grouting Method)

  • 이형규;이인
    • 한국지반환경공학회 논문집
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    • 제11권3호
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    • pp.53-62
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    • 2010
  • 1990년대 초 쏘일네일링 공법이 국내에 처음 도입된 이후 쏘일네일링 공법은 사면안정 및 지반굴착의 보강공법으로 널리 쓰이고 있으며, 쏘일네일링 공법의 적용이 확대됨에 따라 초기의 쏘일네일링 공법에 대한 여러 가지 개선된 쏘일네일링 공법도 발달하였다. 최근에 많이 쓰이는 쏘일네일 공법들은 크게 그라우트에 대한 개선 공법과 쏘일네일 자체에 대한 개선 공법으로 분류된다. 그라우트에 대한 개선공법으로는 대표적으로 가압그라우팅 공법을 들 수 있으며, 쏘일네일 자체에 대한 개선공법으로는 자천공 쏘일네일 공법, 제거식 쏘일네일 공법 등과 더불어 본 연구의 대상이 되는 확장그라우팅 공법이 있다. 본 연구에서는 확장그라우팅 공법의 인발거동 특성을 평가하기 위하여 3차원 유한차분 해석을 수행하였다. 수치해석 결과를 통하여 확장그라우팅 공법이 적용된 쏘일네일링의 인발거동특성에 대하여 기술하였다.