• 제목/요약/키워드: Symmetric condition

검색결과 279건 처리시간 0.027초

Novel Syntheses of Symmetric Alkyl-substituted β-Diketimines with Dimethylsulfate Assisted by Microwave

  • Yoon, Saetbyeol;Lee, Byoungki;Lee, EungJoon;Lee, Ik Mo
    • Bulletin of the Korean Chemical Society
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    • 제34권10호
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    • pp.2871-2876
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    • 2013
  • We present an efficient and new preparative method for the symmetric ${\beta}$-diketimines assisted by microwave. A series of N,N'-symmetrically alkyl substituted ${\beta}$-diketimines have been synthesized from the reaction of O-acylation with dimethylsulfate. Higher reproducibility and yield, lower cost and much improved green nature originated from no solvent condition and higher energy efficiency due to faster reaction time are major merits of this new method. In addition to these merits, almost every kind of ${\beta}$-diketimines including alkyl-substituted ${\beta}$-diketimines little reported yet has been successfully prepared. Much wider applications of these compounds in various fields are expected.

A REMARK ON INVARIANCE OF QUANTUM MARKOV SEMIGROUPS

  • Choi, Ve-Ni;Ko, Chul-Ki
    • 대한수학회논문집
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    • 제23권1호
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    • pp.81-93
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    • 2008
  • In [3, 9], using the theory of noncommutative Dirichlet forms in the sense of Cipriani [6] and the symmetric embedding map, authors constructed the KMS-symmetric Markovian semigroup $\{S_t\}_{t{\geq}0}$ on a von Neumann algebra $\cal{M}$ with an admissible function f and an operator $x\;{\in}\;{\cal{M}}$. We give a sufficient and necessary condition for x so that the semigroup $\{S_t\}_{t{\geq}0}$ acts separately on diagonal and off-diagonal operators with respect to a basis and study some results.

Point defects and grain boundary effects on tensile strength of 3C-SiC studied by molecular dynamics simulations

  • Li, Yingying;Li, Yan;Xiao, Wei
    • Nuclear Engineering and Technology
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    • 제51권3호
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    • pp.769-775
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    • 2019
  • The tensile strength of irradiated 3C-SiC, SiC with artificial point defects, SiC with symmetric tilt grain boundaries (GBs), irradiated SiC with GBs are investigated using molecular dynamics simulations at 300 K. For an irradiated SiC sample, the tensile strength decreases with the increase of irradiation dose. The Young's modulus decreases with the increase of irradiation dose which agrees well with experiment and simulation data. For artificial point defects, the designed point defects dramatically decrease the tensile strength of SiC at low concentration. Among the point defects studied in this work, the vacancies drop the strength the most seriously. SiC symmetric tilt GBs decrease the tensile strength of pure SiC. Under irradiated condition, the tensile strengths of all SiC samples with grain boundaries decrease and converge to certain value because the structures become amorphous and the grain boundaries disappear after high dose irradiation.

사각용기의 강한 비선형 슬로싱 문제에서 발생하는 페러데이파와 슬로싱파의 상호작용 (Interactions of Faraday Wave and Sloshing Wave Generated in the Strong Nonlinear Sloshing Problem of Rectangular Open Tank)

  • 박준상
    • 한국가시화정보학회지
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    • 제18권3호
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    • pp.14-22
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    • 2020
  • An experiment, in the cases that satisfies deep water condition, has been performed to observe the strongly nonlinear sloshing flow in a rectangular tank. A variety of parametric study on oscillating frequency and amplitude was conducted and we found that two types of wave motions, sloshing wave and Faraday wave, could be persisting simultaneously even in horizontal sloshing problem. Moreover, it is observed both of symmetric and skewed symmetric Faraday wave exist. A comprehensive explanation is given to the generation mechanism of those waves and how to interact among them.

고로내 열유동 현상의 수치해석 사례(I) (Numerical simulation of thermo-fluid flow in the blast furnace)

  • 진홍종;최상민
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회B
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    • pp.2038-2043
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    • 2007
  • Analysis of the internal state of the blast furnace is needed to predict and control the operating condition. Especially, it is important to develop modeling of blast furnace for predicting cohesive zone because shape of cohesive zone influences on overall operating condition of blast furnace such as gas flow, temperature distribution and chemical reactions. Because many previous blast furnace models assumed cohesive zone to be fixed, they can't evaluate change of cohesive zone shape by operation condition such as PCR, blast condition and production rate. In this study, an axi-symmetric 2-dimensional steady state model is proposed to simulate blast furnace process using the general purpose-simulation code. And Porous media is assumed for the gas flow and the potential flow for the solid flow. Velocity, pressure and temperature distribution for gas and solid are displayed as the simulation results. The cohesive zones are figured in 3 different operating conditions.

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On the Geometric Equivalence of Asymmetric Factorial Designs

  • Park, Dong-Kwon;Park, Eun-Hye
    • Communications for Statistical Applications and Methods
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    • 제13권3호
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    • pp.777-786
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    • 2006
  • Two factorial designs with quantitative factors are called geometrically equivalent if the design matrix of one can be transformed into the design matrix of the other by row and column permutations, and reversal of symbol order in one or more columns. Clark and Dean (2001) gave a sufficient and necessary condition (which we call the 'gCD condition') for two symmetric factorial designs with quantitative factors to be geometrically equivalent. This condition is based on the absolute value of the Euclidean(or Hamming) distance between pairs of design points. In this paper we extend the gCD condition to asymmetric designs. In addition, a modified algorithm is applied for checking the equivalence of two designs.

THE MOORE-PENROSE INVERSE OF THE PARTITIONED MARIX AND SIMULATION STUDY

  • Sunwoo, Ha-Sik
    • Journal of applied mathematics & informatics
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    • 제5권3호
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    • pp.849-857
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    • 1998
  • In this paper we have a concern on the Moore-Penrose inverse of two kinds of partitioned matrices of the form [V X] and [{{{{ {V atop {X} {{{{ {X atop { 0} }}] where V is symmetric. The Moore-Penrose inverse of the partitioned matrices can be reduced to be simpler forms according to some algebraic conditions. Firstly we investigate the representations of the Moore-Penrose inverses of the partitioned matrices under four al-gebraic conditions. Each condition reduces the Moore-Penrose inverses of the partitioned matrices under four al-gebraic conditions. Each condition reduces the Morre-Penrose inverse into some simpler form. Also equivalant conditions will be considered. Finally we will perform a simulation study to investigate which con-dition is the most important in the sense that which condition occurs the most frequently in the real situation. The simluation study will show us a particular condition occurs the most likely tha other conditions. This fact enables us to obtain the Morre-Penrose inverse with less computational efforts and computational storage.

융착대 예측을 위한 고로공정 모델링 (Blast Furnace Modeling for Predicting Cohesive Zone Shape)

  • 양광혁;최상민;정진경
    • 한국연소학회:학술대회논문집
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    • 한국연소학회 2006년도 제32회 KOSCO SYMPOSIUM 논문집
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    • pp.39-45
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    • 2006
  • Analysis of the internal state of the blast furnace is needed to predict and control the operating condition. Especially, it is important to develop modeling of blast furnace for predicting cohesive zone because shape of cohesive zone influences overall operating condition of blast furnace such as gas flow, chemical reactions and temperature. because many previous blast furnace models assumed cohesive zone to be fixed, they can't evaluate change of cohesive zone shape by operation condition such as PCR, blast condition, and production rate. In this study, an axi-symmetric 2-dimensional steady state model is proposed to simulate blast furnace process. In this model, cohesive zone is changed by solid temperature range, FVM is used for numerical simulation. To find location of cohesive zone whole calculation procedure is iterated Until cohesive zone is converged. Through this approach, shape of cohesive zone, velocity, composition and temperature within the furnace are predicted by model.

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Dependence of Optical Matrix Elements on the Boundary Conditions of the Continuum States in Quantum Wells

  • Jang Y. R.;Yoo K. H.;Ram-Mohan L. R.
    • Journal of the Optical Society of Korea
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    • 제9권2호
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    • pp.39-44
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    • 2005
  • Unlike for the bound states, several different boundary conditions are used for the continuum states above the barrier in semiconductor quantum wells. We employed three boundary conditions, infinite potential barrier boundary condition, periodic boundary condition and scattering boundary condition, and calculated the local number of states, wavefunctions and optical matrix elements for the symmetric and asymmetric quantum wells. We discussed how these quantities are related in the three boundary conditions. We argue that the scattering boundary condition has several advantages over the other two cases. These results would be useful in understanding quantum well lasers and detectors involving continuum states.

실시간 압력정보 제공 진동 촉각 피드백이 만성 뇌졸중 환자의 정적균형능력과 체중 지지율에 미치는 영향 - 예비실험연구 (Effects of Vibrotactile Bio-Feedback Providing Pressure Information in Real Time on Static Balance and Weight Bearing Rate in Chronic Stroke Patients - Pilot Study)

  • 길기수;김호;신원섭
    • 대한통합의학회지
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    • 제9권1호
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    • pp.41-48
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    • 2021
  • Purpose : The purpose of this study is to find out if it helps to improve static balance ability and weight bearing rate for chronic stroke patients with poor balance in clinical intervention through a method of correcting movement errors while performing a task by vibrotactile bio-feedback providing pressure information. Methods : Fifteen chronic stroke patients (12 male and 3 female) were participated in this study. To examine the effects of vibrotactile bio-feedback and general standing without bio-feedback on static balance ability and weight distribution symmetric index in all subjects randomized with R Studio. The static balance ability and weight distribution symmetric index of the participants was evaluated using a force plate. A paired t-test was used for comparison of each conditions. Statistical significance was set at α=0.05. Results : The comparisons of static balance ability and weight distribution symmetric index in chronic stroke patients after two different condition are as follows. In the static balance ability and weight distribution symmetric index, the vibrotactile feedback providing pressure information showed a significant difference compared to none feedback (p<.001). Conclusion : The vibrotactile bio-feedback providing pressure information in real time can support an improve in static balance ability, uniform weight bearing rehabilitation in chronic stroke patients. In the future, it is hoped that a follow-up study that provides a better direction of intervention compared to various feedback interventions commonly used in clinical practice.