• Title/Summary/Keyword: Normal values

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Theoretical formulations of current and unique Rayleigh waves with impedance boundary condition embedding normal stress

  • Nguyen, Xuan Quynh;Lee, Dongkyu
    • Smart Structures and Systems
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    • v.29 no.2
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    • pp.279-286
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    • 2022
  • In this article, a novel propagation formulation of Rayleigh waves in a compressible isotropic half-space with impedance boundary condition is proposed by embedding the normal stress. In a two-dimensional case, it is assumed that a design boundary is free of normal traction and a shear traction depends on linearly a normal component of displacements multiplied by frequencies. Therefore, impedance boundary conditions affect the normal stress, where the impedance parameters correspond to dimensions of stresses over velocity. On the other hand, vanished impedance values are traction-free boundary conditions. The main purpose of this article is to present theoretically the existence and uniqueness of a Rayleigh wave formulation relying on secular equation's mathematical analyses. Its velocity varies along with the impedance parameters. Moreover, numerical experiments with different values for the velocity of Rayleigh waves are carried out. The present Rayleigh waves study is a fundamental step in analyzing the cause and effect of physical states such as building or structure damages resulting from natural dynamics. The results of the study generate a basic design formulation theory to test the effects of Rayleigh waves affecting structures when an earthquake occurs. The presence and uniqueness of the proposed formulation is verified by mutual comparisons of several numerical examples.

Studies on the Safety of Recombinant Bovine Somatotropin in Dairy Cow : Effects of ${\gamma}$BST on Hematologic and Blood Chemical Values in Dairy Cow (${\gamma}$BST의 젖소에 대한 안전성 연구 II. 성장호르몬이 젖소의 혈액상 및 혈액화학치에 미치는 영향)

  • Lee Mun-Han;Jin Young-Wha;Lee Chang-Woo
    • Journal of Veterinary Clinics
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    • v.8 no.2
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    • pp.157-170
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    • 1991
  • Effects of recombinant bovine somatotropln(${\gamma}$BST) on hematologie and blood chemical values were investigated in twenty-five multiparous Holstein dairy cows. Recombinant BST was administered by two different routes ; intramusculary(12.5mg and 25mg/day) and subcutaneously(500mg and 750mg) in sustained-release vehicle every 2 weeks beginning 4 weeks postpartum and continuing for 7 months. Whole blood and serum samples were collected 0, 1, 2, 3, 5, and 7 months after beginning of treatments from control and ${\gamma}$BST-administered groups. Hematologic values including RBC, PCV, HB, MCH, MCHC, WBC and differential counts of treatment groups receiving ${\gamma}$BST were similiar to those of control group. Blood chemical values observed were total protein, albumin, A/G ratio, glucose, cholesterol, Ca, Pi, Ca/pi ratio, total bilirubin, creatinine, BUN, alkaline phosphatase, lactate dehydrogenase, alanine aminotransferase and aspartate aminotransferase. There were no significant differences in blood chemical values of cows administered with ${\gamma}$BST from those of control. Although some blood chemical values were fluctuated at a certain observation period, they were remained within the normal physiological ranges. It is concluded from the observations of these experiments that the dose and dosage froms of ${\gamma}$BST employed in this work might not affect hematologic and blood chemical values in dairy cows under the normal sanitary condition and adequate nutritional balance.

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Critical Multiple Correlation Coefficient for Improving Mean and Variance in Augmenting Hydrologic Samples

  • Heo, Jun-Haeng
    • Korean Journal of Hydrosciences
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    • v.6
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    • pp.13-22
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    • 1995
  • The augmenting hydrologic data using a correlation procedure has been used to improve the estimates of the mean and variance at the site of interest with short record when one or more near by sites with longer records are available. The variance of the unbiased maximum likelihood estimator of $ derived by Moran based on the multivariate normal distribytion is modified into the form of Matalas and Jacobs for the biveriate normal distribution to get the critical minimum values of the multiple correlation coefficient which give the improvement for estimating the variance at the site of interest. Those values are tabulated for various lengths of short records and the number of sites.

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NOTES ON NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS SHARING A SET WITH THEIR DERIVATIVES

  • Li, Xiao-Min;Yi, Hong-Xun;Wang, Kai-Mei
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.6
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    • pp.1773-1789
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    • 2014
  • We study the normality of families of meromorphic functions sharing a set consisting of two or three distinct finite values to improve and extend Theorem 1 in Liu-Pang [15] and Theorem 1.1 in Liu-Chang [16]. Examples are provided to show that the results in this paper, in a sense, are the best possible.

MEROMORPHIC FUNCTIONS PARTIALLY SHARED VALUES WITH THEIR SHIFTS

  • Lin, Weichuan;Lin, Xiuqing;Wu, Aidi
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.2
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    • pp.469-478
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    • 2018
  • We prove some uniqueness theorems of nonconstant meromorphic functions partially sharing values with their shifts. As an application, we obtain a sufficient condition on periodic meromorphic functions. Moreover, some examples are given to illustrate that the conditions are sharp and necessary.

Quantiles for Shapiro-Francia W' Statistic

  • Rahman, Mezbahur;Ali, Mir Masoom
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.1
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    • pp.1-10
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    • 1999
  • Table of the empirical quantiles for the well known Shapiro-Francia W' goodness of fit statistic is produced which is more accurate than the existing ones. Prediction equation for the quantiles of W' statistic for sample sizes 30 or more we developed. The process of computing the expected values for the standard normal variate is discussed. This work is intended to make the Shapiro-Francia W' statistic more accessible to the practitioner.

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Normal Families and Shared Values of Meromorphic Functions

  • Meng, Chao
    • Kyungpook Mathematical Journal
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    • v.48 no.2
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    • pp.317-321
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    • 2008
  • Some criteria for determining the normality of the family F of meromorphic functions in the unit disc, which share values depending on f $\in$ F with their derivatives is obtained. The new results in this paper improve some earlier related results given by Pang and Zalcman [3], Fang and Zalcman [2], A. P. Singh and A. Singh [5].

Radiologic assessment of alveolar and basal bone change of partially edentulous mandible (부분 무치악 하악골의 치조골 및 기저골 변화에 관한 방사선학적 평가)

  • Park Chang-Seo;Kim Kee-Deog
    • Imaging Science in Dentistry
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    • v.32 no.3
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    • pp.141-145
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    • 2002
  • Purpose : The purpose of this study was to propose standard values for alveolar and basal bone in normal adult mandibles, and radiologically analyze the remodeling process of the edentulous mandible by examining molar areas and comparing them to the established normal values. Materials and Methods : Panoramic and CT scans of mandible were performed on 20 normal adults and 20 edentulous or partially edentulous adults. In both groups, arch half diameter and distance of alveolar bone were measured. Also the distance from the mandibular canal to the caudal edges, the buccal and lingual external borders of basal bone, were measured. A statistical comparison between the mean values of normal and edentulous mandibles was carried out in the selected areas. Results : There was evidence of decreasing arch half diameter and distance in the edentulous mandible, but statistically no significant change was seen between the normal and edentulous alveolar bone. There was evidence of decreasing buccal basal bone and increasing in the lingual basal bone in the edentulous mandible. A statistically significant difference between normal and edentulous mandibles was noted in the buccal basal bone. Conclusion: There was an inward and forward atrophic change of the edentulous mandibular molar area compared to the control. CT scanning required the use of sophisticated and expensive procedures to analyze the remodeling process of edentulous mandibles. Consequently, the development and application of a more simplified and objective radiographic procedure for broad and long-term study of remodeling procedures of edentulous mandible was recommended.

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Decomposition of Sediment size Curves into Log-Normal components: An Example from Cheju Strait Continental shelf (퇴적물입도곡선의 정규성분으로의 분해:제주해협의 예)

  • 공영세;김원식
    • 한국해양학회지
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    • v.28 no.2
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    • pp.114-120
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    • 1993
  • Numerical method of nonlinear regression was introduced to characterize grain-size distribution more effectively than using the traditional textural parameters. This technique proved critical particularly to multimodal size distributions, as exemplified by samples from Cheju strait continental shelf. Grain-size analysis of samples collected from the Cheju Strait continental shelf reveals that 86% of the grain-size distributions are multimodal. As multimodal grain-size distribution deviates from the statistical (log) normal distribution, the grain-size parameters traditionally used in sediment studies do not describe the distribution efficiently. Therefore, the use of grain-size curves into elementary normal component curves was used. Means and standard deviations of 387 decomposed normal components were decided by a decomposition method (nonlinear least square regression) from 167 size curves of the Cheju Strait sediments. The mean values of decomposed normal components show peaks at 1-3 phi and 8-9 phi size classes. The plot of mean values of the coarse fraction normal components on the map shows a characteristic and complex areal distribution. On the basis of the areal distribution of the mean values of the components and that of isopach of total Plenipotence sediment, the areal distribution of layers composing a transgressive sand of Late Plenipotence age were revealed.

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Normal Predictive Values of Spirometry in Korean Population (한국인의 정상 폐활량 예측치)

  • Choi, Jung Keun;Paek, Domyung;Lee, Jeoung Oh
    • Tuberculosis and Respiratory Diseases
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    • v.58 no.3
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    • pp.230-242
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    • 2005
  • Background : Spirometry should be compared with the normal predictive values obtained from the same population using the same procedures, because different ethnicity and different procedures are known to influence the spirometry results. This study was performed to obtain the normal predictive values of the Forced Vital Capacity(FVC), Forced Expiratory Volume in 1 Second($FEV_1$), Forced Expiratory Volume in 6 Seconds($FEV_6$), and $FEV_1/FVC$ for a representative Korean population. Methods : Based on the 2000 Population Census of the National Statistical Office of Korea, stratified random sampling was carried out to obtain representative samples of the Korean population. This study was performed as a part of the National Health and Nutrition Survey of Korea in 2001. The lung function was measured using the standardized methods and protocols recommended by the American Thoracic Society. Among those 4,816 subjects who had performed spirometry performed, there was a total of 1,212 nonsmokers (206 males and 1,006 females) with no significant history of respiratory diseases and symptoms, with clear chest X-rays, and with no significant exposure to respiratory hazards subjects. Their residence and age distribution was representative of the whole nation. Mixed effect models were examined based on the Akaike's information criteria in statistical analysis, and those variables common to both genders were analyzed by regression analysis to obtain the final equations. Results : The variables affecting the normal predicted values of the FVC and $FEV_6$ for males and females were $age^2$, height, and weight. The variables affecting the normal predicted values of the $FEV_1$ for males and females were $age^2$, and height. The variables affecting the normal predicted values of the $FEV_1/FVC$ for male and female were age and height. Conclusion : The predicted values of the FVC and $FEV_1$ was higher in this study than in other Korean or foreign studies, even though the difference was < 10%. When compared with those predicted values for Caucasian populations, the study results were actually comparable or higher, which might be due to the stricter criteria of the normal population and the systemic quality controls applied to the whole study procedures together with the rapid physical growth of the younger generations in Korea.