• Title/Summary/Keyword: null curve

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Errors in Potentiometric End-Point of Redox Titrations Determined by Zero Second Derivative Method (산화환원 전위차적정에 있어 수치미분법으로 얻은 영 2 차미분 종말점의 오차)

  • Q. Won Choi;Kyong Ryul Kim
    • Journal of the Korean Chemical Society
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    • v.22 no.3
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    • pp.128-132
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    • 1978
  • The potentiometric end-point of redox titrations determined by nulling the second derivative of the titration curve by numerical differentiation method is analyzed by using an electronic digital computer. The error involved in the method is shown to be dependent on the location of the equivalence point in the titrant addition increment that encompasses the latter. The error increases as the equivalence point moves away from the mid-point of the increment toward a maximum value that is as great as a half of the increment. Therefore, when the numerical differentiation method is used to null the second derivative, the end-point should be compared with the steepest point of the titration curve or diluted titrant should be used in the vicinity of the end-point.

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ON THE SCALAR AND DUAL FORMULATIONS OF THE CURVATURE THEORY OF LINE TRAJECTORIES IN THE LORENTZIAN SPACE

  • Ayyildiz, Nihat;Yucesan, Ahmet
    • Journal of the Korean Mathematical Society
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    • v.43 no.6
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    • pp.1339-1355
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    • 2006
  • This paper develops in detail the differential geometry of ruled surfaces from two perspectives, and presents the underlying relations which unite them. Both scalar and dual curvature functions which define the shape of a ruled surface are derived. Explicit formulas are presented for the computation of these functions in both formulations of the differential geometry of ruled surfaces. Also presented is a detailed analysis of the ruled surface which characterizes the shape of a general ruled surface in the same way that osculating circle characterizes locally the shape of a non-null Lorentzian curve.

Designing Statistical Test for Mean of Random Profiles

  • Bahri, Mehrab;Hadi-Vencheh, Abdollah
    • Industrial Engineering and Management Systems
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    • v.15 no.4
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    • pp.432-445
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    • 2016
  • A random profile is the result of a process, the output of which is a function instead of a scalar or vector quantity. In the nature of these objects, two main dimensions of "functionality" and "randomness" can be recognized. Valuable researches have been conducted to present control charts for monitoring such processes in which a regression approach has been applied by focusing on "randomness" of profiles. Performing other statistical techniques such as hypothesis testing for different parameters, comparing parameters of two populations, ANOVA, DOE, etc. has been postponed thus far, because the "functional" nature of profiles is ignored. In this paper, first, some needed theorems are proven with an applied approach, so that be understandable for an engineer which is unfamiliar with advanced mathematical analysis. Then, as an application of that, a statistical test is designed for mean of continuous random profiles. Finally, using experimental operating characteristic curves obtained in computer simulation, it is demonstrated that the presented tests are properly able to recognize deviations in the null hypothesis.

Magnetic Properties of YBCO Superconducting Bulk

  • Lee, Sang-Heon
    • Transactions on Electrical and Electronic Materials
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    • v.6 no.2
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    • pp.67-69
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    • 2005
  • Magnetic properties of a field cooled YBaCuO superconductor beneath the toroidal permanent magnet was examined by means of improved magneto-balancing method at 77 K. Magnetic flux measurements of a toroidal magnet revealed a concave shaped field distribution with a single minimum and a null field along the axis of the torus at the point where the field reversed. The observed values of both the suspension position and the force exerted upon the superconductor specimen were in good agreement with those calculated from the magnetization curve of the specimen and the intensity of the magnetic field of the used permanent magnet.

Development of the Global-Korean Aviation Turbulence Guidance (Global-KTG) System Using the Global Data Assimilation and Prediction System (GDAPS) of the Korea Meteorological Administration (KMA) (기상청 전지구 수치예보모델을 이용한 전지구 한국형 항공난류 예측시스템(G-KTG) 개발)

  • Lee, Dan-Bi;Chun, Hye-Yeong
    • Atmosphere
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    • v.28 no.2
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    • pp.223-232
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    • 2018
  • The Global-Korean aviation Turbulence Guidance (G-KTG) system is developed using the operational Global Data Assimilation and Prediction System of Korea Meteorological Administration with 17-km horizontal grid spacing. The G-KTG system provides an integrated solution of various clear-air turbulence (CAT) diagnostics and mountain-wave induced turbulence (MWT) diagnostics for low [below 10 kft (3.05 km)], middle [10 kft (3.05 km) - 20 kft (6.10 km)], and upper [20 kft (6.10 km) - 50 kft (15.24 km)] levels. Individual CAT and MWT diagnostics in the G-KTG are converted to a 1/3 power of energy dissipation rate (EDR). 12-h forecast of the G-KTG is evaluated using 6-month period (2016.06~2016.11) of in-situ EDR observation data. The forecast skill is calculated by area under curve (AUC) where the curve is drawn by pairs of probabilities of detection of "yes" for moderate-or-greater-level turbulence events and "no" for null-level turbulence events. The AUCs of G-KTG for the upper, middle, and lower levels are 0.79, 0.69, and 0.63, respectively. Comparison of the upper-level G-KTG with the regional-KTG in East Asia reveals that the forecast skill of the G-KTG (AUC = 0.77) is similar to that of the regional-KTG (AUC = 0.79) using the Regional Data Assimilation and Prediction System with 12-km horizontal grid spacing.

Equity in the Delivery of Health care in the Republic of Korea (의료이용의 형평성에 관한 실증적 연구 -공.교 의료보험 피부양자를 대상으로-)

  • 명지영;문옥륜
    • Health Policy and Management
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    • v.5 no.2
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    • pp.155-172
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    • 1995
  • This study is an empirical analysis on the equity in the delivery of heatlh care under the Korean Medical Insurance Corporation System. The purposes of this study are to find out effects of income on the health care utiliztion and measure the income-related inequity in the distribution of health care. This study was carried out based on the fact that the health insurance program has been organized to achieve the equity objective, "equal treatment for equal needs". Of 41, 828 insured persons who had been diagnosed in the 1993 Health Screening Test and utilifzation data from 1, January 1993 through 31, December 1993 were derived from the Benefit Managment File. Inequity was measured by means of I) share approach, ii) standardization concentration curve approach, iii) inequity index, iv) test for inequity. The major findings were as follows : 1. The expenditure shares of the top two quintile groups exceeded their morbidity shares, whereas the opposite was true of the bottom three quintile groups, Which showed a positive HI$_{LG}$ inequity index, suggesting the presence of some inequity favoring the rich group. 2. Compared with other residential areas, the rural area showed the highest positive HI$_{LG}$ irrespective of need indicatior applied. 3. Standardized expenditure concentration indices adjusted by age, gender and need structure were also found to be positive, and therefore still indicated that there has been inequity favoring the rich after the standardization. 4. The Loglikelihood Ratio (LR) test for the statistical significance of income-related inequity of medical care utilization was carried out using the logistic regression model. The resulting loglikelihood ratio test statistic value was 176, which did exceed the 0.5 percent critical value of the chi-square distribution with 28 degrees of freedom, which is 50.993. Therefore, the null hypothesis of no income-related inequity of medical care utilization was rejected at the 99.5 percent confidence level. 5. The Regression based F-test has been carried out for analyzing the income-related inequity of medical expenditure in terms of age, gender, morbidity indicators as explanary variables. The hypothesis of the absence of income-relate inequity was rejected for all need indicators at the 95% confidence level.nce level.

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Electrical Properties of ZnO-Bi2O3-Sb2O3 Ceramics (ZnO-Bi2O3-Sb2O3 세라믹스의 전기적 특성)

  • Hong, Youn-Woo;Shin, Hyo-Soon;Yeo, Dong-Hun;Kim, Jong-Hee;Kim, Jin-Ho
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.21 no.8
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    • pp.738-748
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    • 2008
  • In this study, it has been investigated on the changing behavior of electrical properties in $ZnO-Bi_2O_3-Sb_2O_3$ (Sb/Bi=2.0, 1.0 and 0.5) ceramics. The samples were prepared by conventional ceramic process, and then characterized by I-V, C-V curve plots, impedance and modulus spectroscopy (IS & MS) measurement. The electrical properties of ZBS systems were strongly dependent on Sb/Bi. In ZBS systems, the varistor characteristics were deteriorated noticeably with increasing Sb/Bi and the donor density and interface state density were increased with increasing Sb/Bi. On the other hand, we observed that the grain boundary reacted actively with the ambient oxygen according to Sb/Bi ratio. Especially the grain boundaries of Sb/Bi=0.5 systems were divided into two types, i.e. sensitive to oxygen and thus electrically active one and electrically inactive intergranular one with temperature. Besides, the increased pyrochlore and $\beta$-spinel phase with Sb/Bi ratio caused the distributional inhomogeneity in the grain boundary barrier height and the temperature instability. To the contrary, the grain boundary layer was relatively homogeneous and more stable to temperature change and kept the system highly nonlinear at high Bi-rich phase contents.

Induces Vasodilatation of Rat Mesenteric Artery in vitro Mainly by Inhibiting Receptor-Mediated $Ca^{2+}$ -Influx and $Ca^{2+}$ -Release

  • Cao Yong-Xiao;Zheng Jian-Pu;He Jian-Yu;Li Jie;Xu Cang-Bao;Edvinsson Lars
    • Archives of Pharmacal Research
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    • v.28 no.6
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    • pp.709-715
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    • 2005
  • The purpose of this study was to investigate the effect of atropine on peripheral vasodilation and the mechanisms involved. The isometric tension of rat mesenteric artery rings was recorded in vitro on a myograph. The results showed that atropine, at concentrations greater than 1$\mu$M, relaxed the noradrenalin (NA)-precontracted rat mesenteric artery in a concentration-dependent manner. Atropine-induced vasodilatation was mediated, in part, by an endothelium-dependent mechanism, to which endothelium-derived hyperpolarizing factor may contribute. Atropine was able to shift the NA-induced concentration-response curve to the right, in a non-parallel manner, suggesting the mechanism of atropine was not mediated via the ${\alpha}_1$-adrenoreceptor. The $\beta$-adrenoreceptor and ATP sensitive potassium channel, a voltage dependent calcium channel, were not involved in the vasodilatation. However, atropine inhibited the contraction derived from NA and $CaCl_2$ in $Ca^{2+}$-free medium, in a concentration dependent manner, indicating the vasodilatation was related to the inhibition of extracellular $Ca^{2+}$ influx through the receptor-operated calcium channels and intracellular $Ca^{2+}$ release from the $Ca^{2+}$ store. Atropine had no effect on the caffeine-induced contraction in the artery segments, indicating the inhibition of intracellular $Ca^{2+}$ release as a result of atropine most likely occurs via the IP3 pathway rather than the ryanodine receptors. Our results suggest that atropine-induced vasodilatation is mainly from artery smooth muscle cells due to inhibition of the receptor-mediated $Ca^{2+}$-influx and $Ca^{2+}$-release, and partly from the endothelium mediated by EDHF.

Selection and optimization of nutritional risk screening tools for esophageal cancer patients in China

  • Dong, Wen;Liu, Xiguang;Zhu, Shunfang;Lu, Di;Cai, Kaican;Cai, Ruijun;Li, Qing;Zeng, Jingjing;Li, Mei
    • Nutrition Research and Practice
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    • v.14 no.1
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    • pp.20-24
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    • 2020
  • BACKGROUND/OBJECTIVES: Malnutrition has multiple impacts on surgical success, postoperative complications, duration of hospital stay, and costs, particularly for cancer patients. There are various nutrition risk screening tools available for clinical use. Herein, we aim to determine the most appropriate nutritional risk screening system for esophageal cancer (EC) patients in China. SUBJECTS/METHODS: In total, 138 EC patients were enrolled in this study and evaluated by experienced nurses using three different nutritional screening tools, the Nutrition Risk Screening 2002 tool (NRS2002), the Patient-generated Subjective Globe Assessment (PG-SGA), and the Nutrition Risk Index (NRI).We compared sensitivity, specificity, positive and negative likelihood ratios, and Youden index generated by each of the three screening tools. Finally, cut-off points for all three tools were re-defined to optimize and validate the best nutritional risk screening tool for assessing EC patients. RESULTS: Our data suggested that all three screening tools were 100% sensitive for EC patients, while the specificities were 44.4%, 2.96%, and 59.26% for NRS 2002, PG-SGA, and NRI, respectively. NRI had a higher positive likelihood ratio as well as a higher area under the receiver operating characteristic curve compared to those of NRS 2002 and PG-SGA; although, all three tools had null negative likelihood ratios. After adjusting the cut-off points, the specificity and accuracy for all tools were significantly improved, however, the NRI remained the most appropriate nutritional risk screening system for EC patients. CONCLUSIONS: The NRI is the most suitable (highest sensitivity and accuracy) nutritional risk screening tool for EC patients. The performance of the NRI can be significantly improved if the cut-off point is modified according to the results obtained using MedCalc software.