• Bulletin of the Korean Chemical Society
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• 제35권3호
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• pp.753-757
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• 2014

The nucleophilic substitution reactions of Y-aryl N,N-dimethyl phosphoroamidochloridates with substituted anilines and deuterated anilines are kinetically investigated in acetonitrile at $65.0^{\circ}C$. A stepwise mechanism with a rate-limiting leaving group departure from the intermediate is proposed based on the positive ${\rho}_{XY}$ value. The deuterium kinetic isotope effects involving deuterated anilines show secondary inverse with all the nucleophiles, rationalized by a dominant backside nucleophilic attack.

• 한국초전도학회:학술대회논문집
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• 한국초전도학회 2007년도 High Temperature Superconductivity Vol.XVII
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• pp.4-4
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• 2007

• 대한수학회지
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• 제36권2호
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• pp.355-367
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• 1999

We prove the existence of 2N-1 distinct ordered positive solutions of a class of semilinear elliptic Dirichlet boundary value problems on Rn when the forcing term has N distinct positive stable zeros and the coefficient function decaying to the zero at infinity.

• 충청수학회지
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• 제24권3호
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• pp.401-407
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• 2011

The paper deals with characterization of standard Gumbel distribution and standard $Fr{\acute{e}}chet$ distribution and was motivated by [4], where the Weibull distribution is characterized. We present criterions using the independence of some suitable functions of lower records in a sequence of independent identically distributed random variables $\{X_n,\;n{\geq}1\}$.

• East Asian mathematical journal
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• 제35권1호
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• pp.41-50
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• 2019

This paper is dealt with one-dimensional elliptic jumping problem with nonlinearities crossing n eigenvalues. We get one theorem which shows multiplicity results for solutions of one-dimensional elliptic boundary value problem with jumping nonlinearities. This theorem is that there exist at least two solutions when nonlinearities crossing odd eigenvalues, at least three solutions when nonlinearities crossing even eigenvalues, exactly one solutions and no solution depending on the source term. We obtain these results by the eigenvalues and the corresponding normalized eigenfunctions of the elliptic eigenvalue problem and Leray-Schauder degree theory.

• 대한수학회지
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• 제61권1호
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• pp.91-107
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• 2024

We determine the N → ∞ asymptotics of the expected value of entanglement entropy for pure states in H_1,N ⊗ H_2,N, where H_1,N and H_2,N are the spaces of holomorphic sections of the N-th tensor powers of hermitian ample line bundles on compact complex manifolds.

• 지질공학
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• 제30권4호
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• pp.457-468
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• 2020

플랜트, 토목 및 건축 사업에서 말뚝(Pile) 설계 시 어려움을 겪는 주된 요인은 지반 특성의 불확실성이다. 특히 표준관입시험(Standard Penetration Test, SPT)을 통해 측정되는 N치를 얻는 것이 가장 중요한 자료이나 광범위한 모든 지역에서 구하는 것은 어려운 현실이다. 짧은 해외사업 입찰기간 내에 시추조사를 할 경우 인허가, 시간, 비용, 장비접근, 민원 등 많은 제약요건이 존재하여 전체적인 시추조사가 어렵다. 미시추 지점에서 지반 특성은 엔지니어의 경험적 판단에 의존하여 파악되고 있고, 이는 말뚝의 설계 및 물량산출 오류로 이어져서, 공기 지연 및 원가 증가의 원인이 되고 있다. 이를 극복하기 위해서, 한정된 최소한의 지반 실측 자료를 활용하여 미시추 지점에서도 N치를 예측 할 수 있는 기술이 요구되며, 본 연구에서는 AI기법 중 하나인 인공신경망을 적용하여 N치를 예측하는 연구를 수행하였다. 인공신경망은 제한된 양의 지반정보와 생물학적인 로직화 과정을 통하여 입력변수에 대한 보다 신뢰성 있는 결과를 제공하여 준다. 본 연구에서는 최소한의 시추자료의 지반정보를 입력항목으로 하여 다층퍼셉트론과 오류역전파 알고리즘에 의하여 학습된 패턴을 가지고 미시추 지점에서 N치를 예측하는데 그 목적을 두고 있다. 이를 위하여 2개 현장(필리핀, 인도네시아)에 AI기법 적용시 실측값과 예측값에 대한 적정성을 검토하였고, 그 결과 예측값에 대한 신뢰도가 높은 것으로 연구 검토되었다.

• 한국자동차공학회논문집
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• 제7권6호
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• pp.258-269
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• 1999

It is important to evaluate fatigue damage of in-service material in respect to assure safety and remaining fatigue life in structure and mechanical components under cyclic load . Fatigue damage is represented by mathematical modelling with crack growth rate da/dN and cycle ration N/Nf and is detected by X-ray diffraction and ultrasonic wave method etc. But this is estimated generally by single parameter but influenced by many test conditions The characteristics of it indicates fatigue damage has complex fracture mechanism. Therefore, in this study we propose that back-propagation neural networks on the basis of ration of X-ray half-value breath B/Bo, fractal dimension Df and fracture mechanical parameters can construct artificial intelligent networks estimating crack growth rate da/dN and cycle ratio N/Nf without regard to stress amplitude Δ $\sigma$.

• 대한치과보철학회지
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• 제43권5호
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• pp.671-683
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• 2005

Statement of problem: The most commonly reported problem associated with dental implant restoration is the loosening of the screws. Purpose: This study compared the efficacy of an implant system incorporating an anti-rotational locking sleeve(Anti-Rotating Inner Post Screw System(ARIPS-system)) with other, traditional implant systems as a means of minimizing vibration loosening. Materials and methods: Three implant systems were examined; the conventional external hex type, the ARIPS-system, and the internal taper type implant system 30 specimens(10 samples per group)were fabricated and each abutment screw was secured to the implant future with 32Ncm of torque force and loosening torque was measured using a Torque Gauge. The procedure was repeated 3 times, recording initial loosening torque each time. The re-tightened abutment screw was subjected to a cyclic load having a maximum forte of 200N and minimum of 20N at 2Hz over a period of 12,600 cycles. after which the loosening torque was measured. Measured values were calaulated for statistical analysis. Analysis of measured value was performed by 3 methods: (i) as a percentage average of the initial 3 loosening-torque values(initial loosening value) to the tightening torque of 32Ncm, (ii) as a percentage of the loosening torque value after a load of 200N(experimental value) to the initial loosening value, and (iii) as a percentage of the experimental value to the 32Ncm of tightening torque. The analyses shows the amount of initial loosening at the screw, loosening by repetitive load and the the final loosening value. Results: The results of this study were as follows (1) Percentage of initial loosening value to tightening-torque was increased in order of external hex, ARIPS-system and internal taper and all values between each groups showed statistical significance (p<0.05). (2) Percentage of experimental value to initial loosening value was increased in order of external hex, ARIPS-system and internal taper. Value of internal taper showed significant difference with those of external hex and ARIPS-system (p<0.05). (3) Percentage of experimental value to tightening torque was increased in order of external hex, ARIPS-system and internal taper and all values between each groups showed statistical significance (p<0.05). Conclusion: The results of the analysis of the final loosening level value, which are closely correlated to clinical use, show that the ARIPS-system can be a useful means of minimizing abutment screw loosening when compared to the external hex type system. Although further clinical studies need to be made, the ARIPS-system should be considered to maximize the long-term success of the implant prosthesis.

• 충청수학회지
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• 제16권2호
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• pp.23-30
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• 2003

In this note, we introduce the concept of the modulus of a curve family in $R^n$ and examine some basic properties. And we study the boundary behavior of quasiconformal mappings on a domain $D{\subset}\bar{R}^n$ and present some geometric applications.