• Journal of applied mathematics & informatics
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• 제7권1호
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• pp.83-100
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• 2000

Many queueing systems such as M/M/s/K retrial queue with impatient customers, MAP/PH/1 retrial queue, retrial queue with two types of customers and MAP/M/$\infty$ queue can be modeled by a level dependent quasi-birth-death(LDQBD) process with linear transition rates of the form ${\lambda}_k$={\alpga}{+}{\beta}k$ at each level $\kappa$. The purpose of this paper is to propose an algorithm to find transient distributions for LDQBD processes with linear transition rates based on the adaptive uniformization technique introduced by van Moorsel and Sanders [11]. We apply the algorithm to some retrial queues and present numerical results.

• Bulletin of the Korean Chemical Society
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• 제14권1호
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• pp.95-100
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• 1993

A noise-induced transition is presented for a bistable system subjected to a multiplicative random force, which is singular at the unstable state. The stationary probability distribution is obtained from the Fokker-Planck equation and the effects of the singularity is analyzed. On the basis of noise-induced phase transition with Gaussian white noise, the relaxation time and the transition rate of the system are evaluated up to the first order correction of D. In the parameter region v < l, the transition rates decrease as the exponent v goes to 1 and as the coefficient of the linear term of the kinetic equation increases.

• 한국공작기계학회논문집
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• 제11권3호
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• pp.102-109
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• 2002

The fatigue crack growth under mixed mode condition has been discussed within the scope of linear fracture mechanics such as maximum tangential stress, maximum tangential principal stress and minimum strain energy density. The purpose of this study is to investigate the characteristics of fatigue test crack growth in 304 stainless steel under mixed node. The fatigue test results carried out by using inclined pre-crack specimens was compared to both of the theoretical predictions of the criteria, maximum tangential stress and stain energy density. As difference from theoretical analysis, the transition region from mixed mode to mode I appeared in the fatigue test. There is deep relationship between the angle of slanted pre-crack and transition. Therefore, as applying the different stress intensity factor to each node I+II and mode I, the directions and rates of fatigue crack growth are evaluated more accurately under mixed mode.

• Carbon letters
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• 제2권1호
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• pp.22-26
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• 2001

Na alloyed graphite intercalation compounds with stage 1 and 2 were synthesized using the high temperature and pressure technique. Thermal stability and staging transitions of the compounds were investigated depending on heating rates. The thermal stability and temperature dependence of the deintercalation compounds were characterized using differential scanning calorimeter (DSC) analyzer. Enthalpy of formations were confirmed at temperatures between 25 and $500^{\circ}C$, depending on the various heating rates. The structure ions and interlayer spaces of the graphite were identified by X-ray diffraction (XRD). Diffractograms of stages with non-integral (00l) values were obtained in the thermal decomposition process, and stacking disorder defects and random stage modes were observed. The average value of the interlayer C-C bond lengths were found approximately $2.12{\AA}$ and $1.23{\AA}$ from the diffractions. Based on the stage transition, the degree of the deintercalaton has a inverse-linear relationship against the heating rate.

• 분석과학
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• 제12권6호
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• pp.465-471
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• 1999

클로로메틸화폴리스틸렌에 디에틸렌트리아민을 선형과 집게형으로 지지시킨 수지를 합성하고 이 수지에 전이금속이 흡착되는 속도를 limited-bath법으로 측정하였다. 이 결과에서 확산계수, 활성화 엔트로피와 활성화 자유에너지를 구하였다. 속도론적 데이터에서 전이금속이 수지에 흡착되는 반응 과정의 속도결정단계는 확산과정임을 알 수 있었다.

• 대한화학회지
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• 제35권1호
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• pp.16-23
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• 1991

폴리스틸렌 수지에 트리에틸렌테트라아민을 반응시켜 선형과 집게형의 킬레이트 수지를 합성하였으며, 이들 수지에 지지된 아민은 주로 적외선 스펙트럼으로 확인하였고, 전이금속이 수지에 흡착되는 속도를 측정하였다. 이 결과에서 얻어진 확산계수 및 활성화엔트로피 등이 보고된다. 흡착과정의 속도결정 단계는 입자를 통한 확산과정이다.

• Bulletin of the Korean Chemical Society
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• 제17권3호
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• pp.228-234
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• 1996

The rates of solvolysis of 1-(4-methoxyphenyl)-1-aryl-2,2,2-trifluoroethyl chlorides[I] in a variety of solvents were measured by an electroconductometric method. LArSR relationships (Yukawa-Tsuno eq.)were found to give a linear plot, log(k/ko)=-1.84[σo+0.918(σ+-σo)], in 80% aqueous ethanol. Small |ρ| and r values in comparison with 1-aryl-1-(trifluoromethyl)ethyl tosylate(ρ=-6.09, r=1.59) suggested that the carbocationic charge in the transition state was dispersed by a strong p-π donor, p-methoxy group. Linear mY plots with m 0.90 for all of the substituents in aqueous acetone and m=0.60-0.82 for those of aqueous ethanol indicate that this solvolysis proceeds via an SN1 mechanism with nucleophilic solvent assistance. Thiourea effects and isokinetic temperatures for the rate of solvolysis also can prove the above mechanism.

• Journal of Welding and Joining
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• 제7권4호
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• pp.56-67
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• 1989

In this study, the possibility of evaluating the peculiar fracture strength of weldment in high strength steels was investigated by means of a small punch(SP) test. In order to obtain the ductile-brittle transition temperature(DBTT) of SP energy by which the fracture strength of weldment in structural steels such as SS41 and SM53B steels had been evaluated in our preceding publication, the effects of notches and loading rates on SP energy were discussed. It was found that the correspondence of SP energy to critical COD at test temperature -196.deg. C showed a linear relation with some deviation. The empirical correlation with scatter band, Esp/(Esp)p = 1.67[.delta./(.delta./sub c//(.delta./sub c/)/sub p/]-0.55, was developed between the SP energy ratio and critical COD ratio of each weld structure compared with parent material at test temperature -196.deg. C. In addition, there did not appear to be a significant effect of test materials and specimen size etc. on the correlation.

• Bulletin of the Korean Chemical Society
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• 제17권11호
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• pp.1056-1061
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• 1996

Solvolysis rates of 1-(4-methoxyphenyl)-l-phenyl-2,2,2-trifiuoroethyl chloride (1) and 1-(4-methoxyphenyl)-1-phenylethyl chloride (2) were measured in a variety of aqueous binary solvents, and the solvent effect was treated with the Grunwald-Winstein equation. The solvent effect on the solvolysis of 1 failed to give a single linear correlations using the ordinary Y or YCl, but exhibited the wide split pattern which could not be related to the solvent nucleophilicity. The improved correlations with YBnCl and extended dual-parameter treatment, log (k/k0)=mYCl+hI (mΔYΔ), were observed for the solvolysis of 1. These results suggest that the incipient cationic charge in the solvolysis of 1 is delocalized strongly into the aryl-rings in the transition state. While the solvent effect on the solvolysis of 2 is better correlated with Y or YCl than YBnCl but the linearity is not satisfactory. The correlation is comparably improved by the use of the extended Grunwald-Winstein equation, log (k/k0)=0.81YCl+0.26NOTs (R=0.994, SD=±0.12), indicating the cationic charge of reaction center of 2 was localized mostly in the transition state.

• Asian Pacific Journal of Cancer Prevention
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• 제16권18호
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• pp.8327-8333
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• 2016

Background: The recent epidemiologic transition in Thailand, with decreasing incidence of infectious diseases along with increasing rates of chronic conditions, including cancer, is a serious problem for the country. Breast cancer has the highest incidence rates among females throughout Thailand. Lampang is a province in the upper part of Northern Thailand. A study was needed to identify the current burden, and the future trends of breast cancer in upper Northern Thai women. Materials and Methods: Here we used cancer incidence data from the Lampang Cancer Registry to characterize and analyze the local incidence of breast cancer. Joinpoint analysis, age period cohort model and Nordpred package were used to investigate the incidences of breast cancer in the province from 1993 to 2012 and to project future trends from 2013 to 2030. Results: Age-standardized incidence rates (world) of breast cancer in the upper parts of Northern Thailand increased from 16.7 to 26.3 cases per 100,000 female population which is equivalent to an annual percentage change of 2.0-2.8%, according to the method used. Linear drift effects played a role in shaping the increase of incidence. The three projection method suggested that incidence rates would continue to increase in the future with incidence for women aged 50 and above, increasing at a higher rate than for women below the age of 50. Conclusions: The current early detection measures increase detection rates of early disease. Preparation of a budget for treatment facilities and human resources, both in surgical and medical oncology, is essential.