• The Bulletin of The Korean Astronomical Society
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• v.40 no.2
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• pp.33.3-34
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• 2015

We present the spectroscopic study of the globular clusters (GCs) in the massive elliptical galaxy M86 in the Virgo galaxy cluster. Using the spectra obtained from the Multi-Object Spectroscopy (MOS) mode of Faint Object Camera and Spectrograph (FOCAS) on the Subaru Telescope, we measure the radial velocities for 56 GCs in M86. The mean velocity of the GCs is derived to be $<v_p>=-335{\pm}41km/s$, which is different from the velocity of the M86 nucleus ($<v_{gal}>=-224{\pm}5km/s$) within ${\sim}2.5{\sigma}$. The mean velocity ($<v_p>=-342{\pm}60km/s$) of 33 blue GCs in M86 is similar to that ($<v_p>=-314{\pm}71km/s$) of 23 red GCs. We also derive the mean velocities of the GC systems in other 16 nearby early-type galaxies (ETGs) from the radial velocity data in the literature. The mean value of the differences between the mean velocity of the GC systems in each galaxy and the nucleus velocity of their host galaxies, is almost zero except the M86 GC system. But the scatter of the differences in the blue GC system is larger than that in the red GC system. We will discuss these results in the context of GC formation in ETGs.

• Journal of Oral Medicine and Pain
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• v.15 no.1
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• pp.79-89
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• 1991

The author examined the patterns and various ranges of mandibular movements in TMJ lock closed patients in the frontal, sagittal and horizontal plane and obtained the following results. 1. In the frontal trajectory, the mean amount of maximum mouth opening was 24.4mm and the opening paths were deviated to the affected side in 87.1% of the patients. The mean amount of maximum laterotrusion to the affected side was 10.4mm and that of non-affected side was 7.5mm. There was a significant difference between them(p<0.001). 2. In the sagittal trajectory, the mean amount of the maximum protrusion was 7.0mm, the mean amount of the maximal retrusion was 1.0mm 3. In the horizontal trajectory, the pattern of laterotrusion showed asymmetry: the mean length of non-affected side was smaller than that of the affected side. Protrusive path were deviated to the affected side in 64.5% of the patients, the mean degree of deviation was 16.4$^{\circ}$. The mandibular movements of TMJ lock-closed patients can be characterized by decreased range of mouth opening, protrusive movement, and laterotrusive movement to the non-affected side and also characterized by deviated opening and protrusive path to the affected side.

• Communications for Statistical Applications and Methods
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• v.5 no.3
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• pp.869-878
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• 1998

In this paper, we propose some jackknife estimators for mean in the exponential model with grouped and censored data. Also, we compare the proposed jackknife estimators to other approximate estimators in terms of the mean square error and bias.

• Bulletin of the Korean Mathematical Society
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• v.51 no.5
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• pp.1539-1549
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• 2014

The closed spacelike hypersurfaces with higher order mean curvature is discussed in a de Sitter space. The hypersurface is proved stable if and only if it is totally umbilical.

• Bulletin of the Korean Mathematical Society
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• v.58 no.4
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• pp.877-884
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• 2021

We prove that if a compact convex hypersurface of ℝⁿ⁺¹ has almost maximal extinction time when it is evolved by the mean curvature flow, then it must be nearly round in the C⁰-norm.

• Honam Mathematical Journal
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• v.44 no.1
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• pp.36-51
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• 2022

We study the translation surfaces in the pseudo-Galilean space with the condition that one of generating curves is planar. We classify these surfaces whose mean and Gaussian curvatures are functions of one variable.

• Computers and Concrete
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• v.30 no.4
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• pp.237-242
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• 2022

This paper is concerned with exponential stability in mean square for stochastic static neutral neural networks with varying delays. By using Lyapunov functional method and with the help of stochastic analysis technique, the sufficient conditions to guarantee the exponential stability in mean square for the neural networks are obtained and some results of related literature are extended.

• Journal of The Korean Society of Agricultural Engineers
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• v.53 no.6
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• pp.43-50
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• 2011

The fractal method has recently been applied to a model for determining soil grain size distribution. The objective of this study is to review the applicability of the fractal method for a analysis of submarine sedimentary environments by comparing fractal constants with grain size statistical analysis for the soil samples of Pohang (PH) and Namhae (NH). The y-interception of log (grain size)-log (passing) equation was also used because grain size distribution couldn't be expressed with fractal dimension only. The result of comparison between fractal constants (dimension, y-interception) and grain size statistical indices, the fractal dimension was directly proportional to the mean and the sorting. And the y-interception showed high correlation with the mean. The fractal dimension and y-interception didn't show significant correlation with the skewness and the kurtosis. Thus regression equations between fractal constants and two statistical indices (mean, sorting) were derived. All classifications of the mean and the sorting could be determined using the regression equation based on the fractal dimension and y-interception. Therefore, fractal constants could be used as an alternative index representing the sedimentary environments instead of the mean and sorting.

• Journal of Oriental Neuropsychiatry
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• v.6 no.1
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• pp.85-94
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• 1995

To find out the difference of local characteristics, body and mental activity of Ramyon's habitual eater,THI guestion which is objects of students of high school in the city and country was carried. The results are as follows: 1.In comparison of eating and non-eating group of both male and female syudents, the mean value of eating group was high and showed the significance(P<0.001). 2. The eating group of city showed the higher mean value than country and it showed the significance(P<0.05). 3. In the eating group of city;the female had higher mean value than the male and showed no significance. In the eating group of city;the female had higher mean value than the male and showed significance(P<0.001). 4. In the eating group of male, the mean value of city was higher than country and showed significance(P<0.001). In the eating group of female, the mean value of city was igher than country, but showed no significance. As the results of the above,se know habitual eating of Ramyon give rise to spleen functional disouder and consepuently mental disorder resulting trom spirit-blood's original impediment and the variety of character, such varieties were different according to the characteristics of local and difference. Therefore, we'll study more detail aspents from now on.

• Bulletin of the Korean Mathematical Society
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• v.50 no.1
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• pp.263-273
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• 2013

A mean-value result, saying that the difference quotient of a differentiable function in a real interval is a mean value of its derivatives at the endpoints of the interval, leads to the functional equation $$\frac{f(x)-F(y)}{x-y}=M(g(x),\;G(y)),\;x{\neq}y$$, where M is a given mean and $f$, F, $g$, G are the unknown functions. Solving this equation for the arithmetic, geometric and harmonic means, we obtain, respectively, characterizations of square polynomials, homographic and square-root functions. A new criterion of the monotonicity of a real function is presented.