• 제목/요약/키워드: R-BAR

검색결과 645건 처리시간 0.022초

STRUCTURE JACOBI OPERATOR OF SEMI-INVARINAT SUBMANIFOLDS IN COMPLEX SPACE FORMS

  • KI, U-HANG;KIM, SOO JIN
    • East Asian mathematical journal
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    • 제36권3호
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    • pp.389-415
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    • 2020
  • Let M be a semi-invariant submanifold of codimension 3 with almost contact metric structure (𝜙, ξ, η, g) in a complex space form Mn+1(c), c ≠ 0. We denote by Rξ and R'X be the structure Jacobi operator with respect to the structure vector ξ and be R'X = (∇XR)(·, X)X for any unit vector field X on M, respectively. Suppose that the third fundamental form t satisfies dt(X, Y) = 2𝜃g(𝜙X, Y) for a scalar 𝜃(≠ 2c) and any vector fields X and Y on M. In this paper, we prove that if it satisfies Rξ𝜙 = 𝜙Rξ and at the same time R'ξ = 0, then M is a Hopf real hypersurfaces of type (A), provided that the scalar curvature ${\bar{r}}$ of M holds ${\bar{r}}-2(n-1)c{\leq}0$.

AN EXTENDED NON-ASSOCIATIVE ALGEBRA

  • Choi, Seul-Hee
    • 호남수학학술지
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    • 제29권2호
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    • pp.213-222
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    • 2007
  • A Weyl type algebra is defined in the paper (see [2],[4], [6], [7]). A Weyl type non-associative algebra $\bar{WN_{m,n,s}}$ and its restricted subalgebra $\bar{WN_{m,n,s_r}}$ are defined in the papers (see [1], [14], [16]). Several authors find all the derivations of an associative (Lie or non-associative) algebra (see [3], [1], [5], [7], [10], [16]). We find Der($\bar_{WN_{0,0,1_n}}$) of the algebra $\bar_{WN_{0,0,1_n}}$ and show that the algebras $\bar_{WN_{0,0,1_n}}$ and $\bar_{WN_{0,0,s_1}}$ are not isomorphic in this work. We show that the associator of $\bar_{WN_{0,0,1_n}}$ is zero.

Rotary bar 절삭공구 개발 및 성능 평가에 대한 연구 (The Research on Development and Performance of the Rotary bar Cutting tool)

  • 서정환;양해정;김광
    • 한국생산제조학회지
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    • 제21권6호
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    • pp.926-931
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    • 2012
  • Rotary bar was cutting tool being in use for deburring scale after welding metal and for eliminating sharp edges. It was necessary to develop exclusive 6-axis machine being possible to process machining continuously for making an cutting edge of rotary bar and to revise easily machining program. This study aimed at the structural analysis of strength according to the configuration of new made 6-axis machine and at the machining accuracy and durability of rotary bar. As a result of test, the runout of new rotary bar manufactured out of 6-axis machine was decreased from 0.385 mm to 0.027mm extensively than old one. And good cutting ability and durability was obtained equal quality compared with imported products.

Experimental and Analytical Study on the Bus Duct System for the Prediction of Temperature Variations Due To the Fluctuation of Load

  • Thirumurugaveerakumar, S.;Sakthivel, M.;Valarmathi, S.
    • Journal of Electrical Engineering and Technology
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    • 제9권6호
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    • pp.2036-2041
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    • 2014
  • In this paper, a thermal model is developed for the bus bar system to predict the temperature variation during the transient time period and to calculate both the steady-state and transient electrical current carrying capacity (ampacity) of bus bar. The bus bar system installed in the power house of Kumaraguru College of Technology, Coimbatore has been considered. Temperature variation predicted in the modelling is validated by observing the current and steady state temperatures in different feeders of the bus bar. Magnetic field of the extreme phases R and B induces more current in the middle phase Y. Hence, the steady state temperature in the phase Y is greater than other two phases. The transient capabilities of the bus bar are illustrated by calculating the variations in the bus bar temperature when it is subjected to a step change in current during the peak hours due to increase in hostel utilities and facilities (5.30 pm to 10.30 pm). The physical and geometrical properties of the bus bar and temperature variation in the bus bar are used to estimate the thermal time constants for common bus bar cross-sections. An analytical expression for the time constant of the bus bar is derived.

Development of Fast Screening Method for Crop Protection Agents in Tobacco by Stir Bar Sorptive Extraction and Thermal Desorption coupled to GC/MS

  • Min, Hye-Jeong;Lee, Jeong-Min;Shin, Han-Jae;Lee, Moon-Yong;Jang, Gi-Chul
    • 한국연초학회지
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    • 제36권1호
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    • pp.26-33
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    • 2014
  • Simultaneous determination of crop protection agents(CPAs) in food are done with multi-residue methods, which are composed of sample clean-up, concentration, chromatographic separation and detection. Stir Bar Sorptive Extraction(SBSE) technique is used for sample preparation of various analytes in several fields. The aim of this study was to develop a sensitive and fast method based on SBSE followed by thermal desorption - gas chromatography - mass spectrometry(TD - GC/MS) to determine CPAs in tobacco sample. For the analysis of tobacco sample prior to the SBSE method, solvent extraction or ultrasound-assisted solvent extraction was performed. methanol was used as the extraction solvent. The extract was then diluted with water. Finally, the sample was subjected to SBSE. A method for fast screening of crop protection agents in tobacco using SBSE-TD - GC/MS has been developed. About 17 CPAs including organochlorine, organophosphorous and others were identified and quantified. This method showed good linearity and high sensitivity for most of the target CPAs. The method was applied to the determination of CPAs at ng/mL levels in tobacco sample. This method is simple, rapid and may be applied in detection of other components.

베이지안 분류 기반 통합가뭄지수를 활용한 낙동강 유역의 미래 가뭄에 대한 수문학적 위험도 분석 (Evaluation of Future Hydrologic Risk of Drought in Nakdong River Basin Using Bayesian Classification-Based Composite Drought Index)

  • 김혁;김지은;김지영;유지영;김태웅
    • 대한토목학회논문집
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    • 제43권3호
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    • pp.309-319
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    • 2023
  • 최근 기후변화로 인해 기상재해의 발생빈도와 강도가 증가하고 있다. 우리나라는 지역별 기후 특성의 편차로 인해 기후변화에 따른 취약성 및 대응능력이 지역별로 차이가 크다. 특히 가뭄은 다양한 요인에 의해 발생하고, 기상학적, 수문학적, 농업적 영향 범위가 광범위하다. 따라서 가뭄에 효과적으로 대응하기 위해서는 다양한 요인을 고려할 수 있는 통합가뭄지수를 활용할 필요가 있으며, 기후변화를 고려한 미래 가뭄을 종합적으로 평가해야 한다. 본 연구에서는 베이지안 분류(DNBC) 기반의 통합가뭄지수를 활용하여 낙동강 유역의 미래 가뭄에 대한 수문학적 위험도(${\bar{R}}$)를 평가하였다. 우선, 관측자료와 기후변화 시나리오 자료를 이용하여 부문별 가뭄지수(SPI, SDI, ESI, WSCI)를 DNBC에 적용하여 통합가뭄지수를 산정하였다. 산정된 통합가뭄지수의 심도와 지속기간을 대상으로 이변량 가뭄빈도분석을 실시하고, 이변량 재현기간을 활용하여 수문학적 위험도를 산정하였다. 그 결과, S2(2021-2040) 기간에서 위험도가 가장 높게 나타났으며(${\bar{R}}$=0.572), 평균적으로 위험도가 가장 높은 지역은 밀양강(#2021)이었다(${\bar{R}}$=0.94). 단기 미래(2021-2040) 기간 동안 낙동강 유역의 수문학적 위험도는 전반적으로 큰 폭으로 상승하였으며, 중·장기 미래(2041-2070, 2071-2099) 기간 동안 낙동강 유역 북부의 위험도는 감소하고 남부의 위험도는 상승하였다.

측정 시스템 분석 모형의 고찰 및 새로운 모형의 제안 (Review and Suggestions of Models for Measurement System Analysis)

  • 최성운
    • 대한안전경영과학회지
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    • 제10권1호
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    • pp.191-195
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    • 2008
  • The present study contributes reviewing and suggesting various models for measurement system analysis (MSA). Measurement errors consist of accuracy, linearity, stability, part precision, repeatability and reproducibility (R&R). First, the major content presents split-plot design, and the combination method of crossed and nested design for obtaining gage R&R. Second, we propose $\bar{x}-s$ variable control chart for calculating the gage R&R and number of distinct category. Lastly, investigating the determination of gage performance curve which establishes the control specification propagating calibration uncertainties and measurement errors is described.

STRUCTURE JACOBI OPERATORS OF SEMI-INVARINAT SUBMANIFOLDS IN A COMPLEX SPACE FORM II

  • Ki, U-Hang;Kim, Soo Jin
    • East Asian mathematical journal
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    • 제38권1호
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    • pp.43-63
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    • 2022
  • Let M be a semi-invariant submanifold of codimension 3 with almost contact metric structure (φ, ξ, η, g) in a complex space form Mn+1(c). We denote by Rξ the structure Jacobi operator with respect to the structure vector field ξ and by ${\bar{r}}$ the scalar curvature of M. Suppose that Rξ is φ∇ξξ-parallel and at the same time the third fundamental form t satisfies dt(X, Y) = 2θg(φX, Y) for a scalar θ(≠ 2c) and any vector fields X and Y on M. In this paper, we prove that if it satisfies Rξφ = φRξ, then M is a Hopf hypersurface of type (A) in Mn+1(c) provided that ${\bar{r}-2(n-1)c}$ ≤ 0.

불확실한 환경에서 N-R방법을 이용한 로봇 비젼 제어기법 개발에 대한 연구 (A Study on the Development of a Robot Vision Control Scheme Based on the Newton-Raphson Method for the Uncertainty of Circumstance)

  • 장민우;장완식;홍성문
    • 대한기계학회논문집A
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    • 제40권3호
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    • pp.305-315
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    • 2016
  • 본 논문은 로봇이 이동하는 동안 장애물이 출현하는 불확실한 환경에서 N-R방법을 이용하여 개발된 로봇 비젼제어 기법의 효율성을 알아보고자 한다. 본 연구에 사용되는 비젼 시스템 모델은 6개의 카메라 매개변수(C1~C6)를 포함한다. N-R방법의 일괄처리기법을 이용하여 사용한 각 카메라에 대한 6개의 카메라 매개변수의 추정을 개발하고, 각 카메라에 대한 6개의 매개변수를 사용한 로봇 관절각 기법을 개발하여 얇은 막대 배치 작업을 수행한다. 특히, 불확실한 환경에서 얇은 막대 배치 작업을 위해 장애물에 의한 불연속 궤적은 시작영역, 중간영역, 타겟 근처 영역 등 3개 영역으로 구분하였다. 제안된 로봇 비젼 제어기법을 사용하여 얇은 막대 배치 실험을 통해 각 장애물 영역에서 장애물의 개수 증가에 따른 영향을 조사하고자 한다.

PRIME RADICALS IN ORE EXTENSIONS

  • Han, Jun-Cheol
    • East Asian mathematical journal
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    • 제18권2호
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    • pp.271-282
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    • 2002
  • Let R be a ring with an endomorphism $\sigma$ and a derivation $\delta$. An ideal I of R is ($\sigma,\;\delta$)-ideal of R if $\sigma(I){\subseteq}I$ and $\delta(I){\subseteq}I$. An ideal P of R is a ($\sigma,\;\delta$)-prime ideal of R if P(${\neq}R$) is a ($\sigma,\;\delta$)-ideal and for ($\sigma,\;\delta$)-ideals I and J of R, $IJ{\subseteq}P$ implies that $I{\subseteq}P$ or $J{\subseteq}P$. An ideal Q of R is ($\sigma,\;\delta$)-semiprime ideal of R if Q is a ($\sigma,\;\delta$)-ideal and for ($\sigma,\;\delta$)-ideal I of R, $I^2{\subseteq}Q$ implies that $I{\subseteq}Q$. The ($\sigma,\;\delta$)-prime radical (resp. prime radical) is defined by the intersection of all ($\sigma,\;\delta$)-prime ideals (resp. prime ideals) of R and is denoted by $P_{(\sigma,\delta)}(R)$(resp. P(R)). In this paper, the following results are obtained: (1) $P_{(\sigma,\delta)}(R)$ is the smallest ($\sigma,\;\delta$)-semiprime ideal of R; (2) For every extended endomorphism $\bar{\sigma}$ of $\sigma$, the $\bar{\sigma}$-prime radical of an Ore extension $P(R[x;\sigma,\delta])$ is equal to $P_{\sigma,\delta}(R)[x;\sigma,\delta]$.

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