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피어슨 곡선족에서 온 표본분포들에 관한 소고

  • 구자흥;유동선
    • Journal for History of Mathematics
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    • v.13 no.1
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    • pp.1-14
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    • 2000
  • The first part of this thesis discusses the Pearson's Curve Family which gives $\beta$distribution, $\Gamma$-distribution, $X^2$-distribution and t-distribution. The second part of this thesis gives some brief process of calculations for normal distribution density and t-distribution density by the 7-th type Curve of Pearson's Curve Family. Finally, a conclusion arrives that Student(Gosset) could not find out his famous 'Student's t-distribution' without his attending of 'Pearson's Differential Equation' class taught by Pearson himself when he was a senior student. However, if he had got a professorship at the Pearson Statistics Laboratory, the University of London, then he could not have found 'Student's t-distribution' for small sampling technique of modern statistics.

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Physical parameters of the detached eclipsing binary KIC3858884

  • Lee, Chung-Uk;Kim, Seung-Lee;Lee, Jae-Woo
    • The Bulletin of The Korean Astronomical Society
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    • v.36 no.2
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    • pp.141.2-141.2
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    • 2011
  • We present physical parameters of the detached eclipsing binary KIC3858884, which has a d-Scuti type pulsating secondary component. To derive orbital elements from radial-velocity curve, high-resolution Echelle spectra were obtained at the Bohyunsan Optical Astronomy Observatory in Korea. The BOES spectra and Kepler photometric data were analyzed with JKTEBOP and Wilson-Devinney model for eclipsing light-curve synthesis and Period04 for pulsation frequency analysis. After the iterative curve fitting, we determined physical parameters of KIC3858884 as $M_1=2.02{\pm}0.23M_{\odot}$, $M_2=2.02{\pm}0.16M_{\odot}$, $R_1=3.61{\pm}0.12R_{\odot}$, $R_2=2.84{\pm}0.10R_{\odot}$, respectively.

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Y-band light curve of M101 SN Ia

  • Choi, Changsu;Im, Myungshin
    • The Bulletin of The Korean Astronomical Society
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    • v.37 no.2
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    • pp.89.1-89.1
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    • 2012
  • Type Ia Supernovae are known as one of the most reliable standard candle regarding to our understanding their explosion mechanism. Recently NIR photometry of SN Ia shows us better promise on the distance measurement. NIR peak luminosity is relatively independent of light curve shape and effect of extinction is obviously less than in optical wavelengths. Among NIR bands, Y-band photometry is suggested to have less scatter and reduced reddening effect than other NIR wavelengths, furthermore it is still unexplored regime to verify its utility. Here we report Y-band light curve analysis of M101 SN Ia to investigate how Y-band can help us to determine accurate distance to the galaxy.

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Development of a Hierarchical HydroG-OneFlow Web Services of River GeoSpatial Information (하천공간정보의 계층적 HydroG-OneFlow 웹서비스 개발)

  • Shin, Hyung Jin;Hwang, Eui Ho;Chae, Hyo Sok;Hong, Sung Soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.626-626
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    • 2015
  • 본 연구에서는 하천공간정보의 웹서비스를 위해 SOAP(Simple Object Access Protocol) API 및 REST(Representation State Transfer) API로 제공하는 HydroG-OneFlow 웹서비스를 개발하였다. HydroG-OneFlow는 GML 기반의 서비스를 제공하며 GetBasin, GetGeoVariable 및 GetData 등의 기본서비스로 구성된다. GML은 GIS S/W의 벡터 GML 포맷과 공간정보 오픈플랫폼 서비스인 브이월드 데이터 API에서 제공하는 GML 포맷을 참고하여 하천공간 벡터정보를 제공할 수 있도록 GML을 구성하였다. GDM 공간 데이터에 대한 벡터정보 ML 수용 수준을 향상시킬 수 있도록 벡터구조의 점, 선, 면 정보에 대하여 GML의 PointPropertyType, CurvePropertyType, SurfacePropertyType을 도입하였다. 또한 일반적인 공간자료에서는 Multi 객체에 대한 지원도 필요하다. 현 GDM 데이터베이스에서도 OGC 표준의 MultiPoint, MultiLineString, MultiPolygon을 지원하고 있다. 이를 위하여 GML의 상응 요소인MultiPointPropertyType, MultiCurvePropertyType, MultiSurfacePropertyType을 하천공간정보 벡터 스키마에 도입하여 활용하였다. 클라이언트 서버 통신은 메시지 교환프로토콜인 SOAP을 사용하여 서버의 객체를 직접 호출하여 이루어진다. 서버는 서버의 제공 서비스를 WSDL(Web Service Description Language)를 통하여 게시하고 클라이언트는 이 기준(Criteria)을 참고하여 접근한다. GetData의 경우 Type(GRID or VECTOR), GDM(Geospatial Data Model) 여부(true or false), LayerName, BasinID, GenTime을 인자로 받아 GeoData에서 검색된 정보를 반환한다. SOAP버전은 1.1과 1.2를 지원하여 접근하는 클라이언트에서 선택할 수 있도록 개발하였다.

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Quantitative Analysis of Normal Salivary Gland Function using Salivary Scintigraphy (타액선 신티그라피를 이용한 정상 타액선기능의 정량분석)

  • Kim, Hui-Jin;Ko, Myung-Yun;Park, June-Sang
    • Journal of Oral Medicine and Pain
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    • v.25 no.4
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    • pp.345-353
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    • 2000
  • This study was to investigate normal salivary flow rates and normal indices of Quantitative analysis of salivary scintigraphy. 96 adult volunteers were studied by Questionnaire evaluating salivary conditions and clinical examinations. 35(male 23, female 12, age range 23-31years) that absented subjective and objective symptoms related saliva were classified as normal group. The normal group underwent measurement unstimulated and stimulated salivary flow rates and salivary scintigraphy. The obtained results were as follows: 1. There were not significant in sex differences of unstimulated and stimulated salivary flow rates. The unstimulated salivary flow rate was $0.66{\pm}0.41g/min$, stimulated salivary flow rates was $1.61{\pm}0.69g/min$. 2. As comparing of parameters of salivary scintigraphy, the Uptake ratio(UR), $T_{max}$, $T_{min}$, Maximum accumulation (MA), Maximum secretion(MS) of parotid and submandibular glands were not significant in sex and side-ralated differences. 3. The UR, $T_{max}$, MA, MS of parotid gland were significantly higher than those of submandibular gland; in the parotid gland, UR, $3.67{\pm}0.88$, $T_{max}$, $18.77{\pm}0.43min$, MA, $41.35{\pm}9.22%$, MS, $43.13{\pm}9.13%$; in the submandibular gland, UR, $3.04{\pm}0.10$, $T_{max}$, $18.48{\pm}0.52min$, MA, $36.47{\pm}14.18%$, MS, $36.88{\pm}12.20%$. 4. As classifying of time-activity curve, the most of parotid gland was N-type(97.1%), submandibular gland was observed in order of M-type(67.1%), N-type(21.4%), F-type(11.4%), however, was not observed S-type. 5. As the type of time-activity curve of submandibular gland was more flattened, the UR, $T_{max}$, MA, MS were significantly decresed.

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A research on the pattern fabrication of skirt due to the lower body type of the old aged woman (노년기 여성의 하반신 체형분석에 따른 스커트 원형 제작에 관한 연구)

  • Kim, Kyung-Hee;Lee, Kun-Hee
    • Journal of Fashion Business
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    • v.15 no.5
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    • pp.178-194
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    • 2011
  • Due to the population growth of the old aged, Korea is also entering into an aging society. But a research on the pattern design to the old aged is much to be desired. The purpose of this research is to design skirt pattern fitted for each body type by categorizing the lower body type of the old aged woman. For the way of research, categorized the body type by using the female measuring size from the 65 years old to 99 years old which has been measured by the Korean body size research as an assay data, and base on this data, a suitable skirt pattern for each body type of the old aged woman was designed by practicing the exterior evaluation. The data analysis was done with the statistical treatment in SPSS 12.0, and the results are as follows. The lower body type of the old aged woman were divided into the type 1. The circumference article is the biggest compared to the height article regarding to the lower body type of the old aged woman. The type 2. The height article and the circumference and thickness articles are the poorest. The type 3. The height article is the biggest and the hip width and calf circumference are thicker than the waist width. The type 4. The height article is the lowest and the waist width is thicker instead the hip and leg are thinner. In type 1, The pattern was modified by increasing 1cm a length of the dart and raising up 1.2cm at the cross point between side line and waist line. In type 2, the basic pattern was used, and in type 3, using the outline of the basic pattern however, increased 1cm a length of the dart and modified the amounts of dart by handling the art in curve, and modified the waist line to be more three-dimensional curves by raising up 1 cm at the cross point between waist line and side line and falling down 0.5cm at the cross point between the back center line and the waist line. In type 4, modified the amounts of front and back dart to 1.25cm, and raised up 0.8cm at the cross point between side line and waist line, and modified the waist line and the side seam line in a gentle curve by reducing circumference of the skirt tail to 1cm from the side seam line.

EXTENDING HYPERELLIPTIC K3 SURFACES, AND GODEAUX SURFACES WITH π1 = ℤ/2

  • Coughlan, Stephen
    • Journal of the Korean Mathematical Society
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    • v.53 no.4
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    • pp.869-893
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    • 2016
  • We construct the extension of a hyperelliptic K3 surface to a Fano 6-fold with extraordinary properties in moduli. This leads us to a family of surfaces of general type with $p_g=1$, q = 0, $K^2=2$ and hyperelliptic canonical curve, each of which is a weighted complete inter-section inside a Fano 6-fold. Finally, we use these hyperelliptic surfaces to determine an 8-parameter family of Godeaux surfaces with ${\pi}_1={\mathbb{Z}}/2$.

Surfaces of Revolution of Type 1 in Galilean 3-Space

  • Cakmak, Ali;Es, Hasan;Karacan, Murat Kemal;Kiziltug, Sezai
    • Kyungpook Mathematical Journal
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    • v.60 no.3
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    • pp.585-597
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    • 2020
  • In this study, we classify surfaces of revolution of Type 1 in the three dimensional Galilean space 𝔾3 in terms of the position vector field, Gauss map, and Laplacian operator of the first and the second fundamental forms on the surface. Furthermore, we give a classification of surfaces of revolution of Type 1 generated by a non-isotropic curve satisfying the pointwise 1-type Gauss map equation.

Physical Parameters of Late Type Spiral Galaxies - III. Mass and Mass to Luminosity Ratio of NGC 7793

  • Kim, Chang-Ha;Chun, Mun-Suk
    • Journal of Astronomy and Space Sciences
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    • v.3 no.2
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    • pp.103-116
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    • 1986
  • The mass distribution and other related quantities were calculated by fitting the observed rotation curve(Davoust and de Vaucouleur 1980) to Brandt and Belton's mass distribution model. One of n values for mass model is determined as 1.5(Vm=95 $kms^{-1}$) and two pairs of them are determined as 0.8(Vm = 95$kms^{-1}$) and 2.0 and 0.8 (Vm = 55$kms^{-1}$) and 2.0 because of the hump in observed rotation curve. Total masses and integrated mass to luminosity ration are $1.8\times10^{10}M_\odot,\;1.5\times10^{10}M_\odot,\;1.4\times10^{10}M_\odot$, and 6.57, 5.33, 5.26 for three cases according to n values. Integrated mass to luminosity ratio in Holmberg radius is 3.44, 3.26, 3.00 in god agreement with the typical value of Sd type suggested by Faber and Gallagher(1979). Presented halo masses which are fifty percent of total masses and halo mass to luminosity ratios given as 75.83, 53.50, 58.75 are values less than Turner's(1976).

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The Luminosity of Type Ia Supernova as a Function of Host-Galaxy Morphology

  • Kim, Young-Lo;Kang, Yijung;Lim, Dongwook;Lee, Young-Wook
    • The Bulletin of The Korean Astronomical Society
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    • v.37 no.2
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    • pp.76.1-76.1
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    • 2012
  • We have employed SNANA supernova analysis package to make YONSEI Supernova Catalogue 1, which contains distance modulus, light-curve shape parameters, and color or extinction values of each supernova. This database is used to study the dependence of Type Ia supernovae (SNe Ia) luminosities on the host-galaxy morphologies. The redshift range of this catalogue is 0.010 < z < 1.555, and we use three light-curve fitters: SALT2, MLCS2k2 (Rv = 3.1), and MLCS2k2 (Rv = 1.7). We find a systematic difference in the Hubble residual (HR) of $0.1{\pm}0.031$ mag between E-S0 and Scd/Sd/Irr host-galaxies, and of $0.16{\pm}0.044$ mag between passive and star-burst host-galaxies. This difference is significant over the $3{\sigma}$ level. Considering the significant difference in the mean age of stellar population between these morphological types, the difference in the HR reported here suggests that the evolution effect of SNe Ia luminosity should be considered in the cosmological application of SNe Ia data.

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