• 제목/요약/키워드: Order of growth

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RELATIVE LOGARITHMIC ORDER OF AN ENTIRE FUNCTION

  • Ghosh, Chinmay;Bandyopadhyay, Anirban;Mondal, Soumen
    • Korean Journal of Mathematics
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    • 제29권1호
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    • pp.105-120
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    • 2021
  • In this paper, we extend some results related to the growth rates of entire functions by introducing the relative logarithmic order ����g(f) of a nonconstant entire function f with respect to another nonconstant entire function g. Next we investigate some theorems related the behavior of ����g(f). We also define the relative logarithmic proximate order of f with respect to g and give some theorems on it.

피로균열 성장과정에 대한 평가방법의 영향 (Influence of Evaluation Methods for Fatigue Crack Growth Process)

  • 안철봉
    • 한국생산제조학회지
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    • 제8권1호
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    • pp.119-125
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    • 1999
  • The distribution of fatigue crack growth rate is subjected to the measuring interval and calculated method of growth rate. In this paper, in order to establish the method of determining the distribution of fatigue crack growth rate, which ignores those influences, a series of fatigue crack growth experiments and measuring intervals of crack length calculated reasonable are presented. The main conclusions obtained are summarized as follows: 1) As a result of the ΔP constant test and ΔK constant test, it is thought that an approximate measuring interval of 0.3~0.7mm is reasonable, which allows for few errors and is little subjected to the calculated method of crack growth rate. 2) After generally comparing the error estimation by using the experimental data of CCT specimen with the error rating of the CT specimens, it is possible that the fatigue test has few errors within the measuring interval, ξ(Δa/W)=0.0067~0.017, regardless of the dimension of specimen geometry.

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Growth-Inhibiting Effect of Bufadienolides on Cultured Vascular Endothelial Cells

  • Lee, Duck-Yoon;Yoon, Hwa-Joong
    • Toxicological Research
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    • 제11권2호
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    • pp.175-180
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    • 1995
  • We found that bufalln, one of the prominent components of the bufadlenolides in the Chinese medicine chan'su, has the potent inhibitory effects on growth and proliferation of the cultured bovine aortlc endothelial (BAE) and human umbilical vein endothelial (HUVE) cells. All naturally-occuring bufadienolides used in this study inhibited the cell growth in a dose-dependent manner. Particularly, bufalin among the bufadienolides showed the strongest inhibitory activity for the cell growth. The order of growth inhibition by bufadienolides on BAE cells was as follows: bufalin > gamabufotalln > bufotalln > cinobufagin > cinobufotalin > resibufogenin. The $IC_50$ values (50% inhibition of cell growth) of bufalin as determined by XTT assay were the range of 1-10 nM in BAE and HUVE cells. Bufalin exhibited a higher sensitivity towards cultured bovine aortic endothelial cells than human umbilical vein endothelial cells.

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한국인 정상교합자안모의 실측장분석에 관한 두부방사선 계측학적 연구 (A ROENTGENOCEPHALOMETRIC STUDY OH THE LINEAR ANALYSES IN NORMAL OCCLUSION FOR KOREAN)

  • 양원식
    • 대한치과교정학회지
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    • 제4권1호
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    • pp.7-12
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    • 1974
  • The author analyzed 64 males and 65 females with normal occlusion from the childhood to the juvenile korean roentgenocephalometrically. And following conclusions were obtained by means of linear analyses. 1. Maxillo-facial structure growth continued quite rapidly until puberty from childhood, and growth of male was increased than that of female after Hellman dental age IV A significantly. 2. The order of growth increments were mandibular, maxillary, and cranial base length in both sexes. 3. In both sexes, the growth of anterior face was more rapid than that of posterior face, and lower facial growth was greater than upper facial growth of anterior and posterior face. 4. The maxillo-facial height growth was rapid than that of the depth in both sexes.

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Effect of Temperature on the Growth of the Water Strider, Gerris paludum insularis (Gerridae, Heteroptera)

  • Park, Sang-Ock
    • The Korean Journal of Ecology
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    • 제27권6호
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    • pp.369-373
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    • 2004
  • The water strider, Gerris paludum insularis, was reared in a growth cabinet at two constant temperatures and ${\approx}20^{\circ}C$ under a 16:8 (L:D) photoperiod. Differences in head width among three temperatures of ${\approx}20^{\circ}C,\;25^{\circ}C\;and\;30^{\circ}C$ in G. paludum insularis, were compared. Temperature affected growth of head width of G. paludum insularis. There were highly significant differences among head width for three temperature regimes and the immature stages. It was found that head width is greater in $30^{\circ}C$ than $25^{\circ}C\;and\;{\approx}20^{\circ}C$. The growth quantity of the head width in ${\approx}20^{\circ}C$ shows the slowest increase, and $25^{\circ}C\;and\;30^{\circ}C$ were gradually increased in that order. The maximum ratio of growth quantity by each stage is in the first instar in all regimes. The growth rates of all regimes show an increase pattern.

과대 하중작용 시 균열성장 지연 거동에 대한 파괴역학적 정리 (Fracture Mechanic's Approach on Retardation Behaviors under Overloading)

  • 강용구;박준영
    • 한국기계가공학회지
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    • 제11권5호
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    • pp.13-20
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    • 2012
  • In order to clarify the effect of overload on crack growth behaviors, fatigue tests for overload were carried out for round plain specimens of SM45C steel. In the experiment, typical semi-elliptical crack shape was found and further crack growth behaviors were tested. Using three types of single overload fatigue tests, Crack growth retardation phenomenon were examined. The growth rate of surface crack(da/dN) during retardation period was analyzed in terms of ${\Delta}K$ and ${\Delta}K_{eff}$. On the growth rate of surface crack analyzed by ${\Delta}K$, the dependence of overload stress levels appears. However, on the growth rate by ${\Delta}K_{eff}$ obtained by Willenborg analysis, there is a non-liner relationship between da/dN and ${\Delta}K_{eff}$ with narrow scatter band.

광섬유 조명체계가 실내조경식물의 생육에 미치는 효과 (The Growth Effects on Interior Landscape Plants by Optical Fiber Lighting System)

  • 최경옥;방광자
    • 한국조경학회지
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    • 제29권6호
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    • pp.92-100
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    • 2002
  • This study was carried out to obtain fundamental information on the growth response of interior landscape plants under fluorescent light, sunlight and optical fiber lighting indoors. Saintpaulia ‘Delaware’, ‘Kalanchoe blossfeldiana, Anthurium scherzerianum and Ardisia crenata were examined using light intensity of 5001ux and 1,0001ux of fluorescent light, sunlight and optical fiber lighting in an interior environment. Results of experiments are as follows; 1) Plant growth status showed the best results under optical fiber lighting compared with fluorescent light or sunlight. 2) Plant growth status was better under 1,0001ux light intensity than 5001ux light intensity and in cases of the same light intensity, the highest growth increase was under optical fiber lighting. while it was showed relatively different according to the different plant species between a fluorescent light and sunlight. 3) The deep pinkish red color of Saintpaulia ‘Delaware’flower was obtained first under an optical fiber lighting and a fluorescent light, a sun light in that order. 4) Regarding interred activity, photosynthetic rate and transpiration rate, intercellular CO, water absorption rate showed a similar tendency generally in spite of a little difference. Namely, transpiration rate and intercellular CO, $CO_2$ a absorption rate increased according to increase of photosynthetic rate. 5) Photosynthetic rate of test plants except Anthurium scherzerianum increased according to increase of light intensity and increased highest under optical fiber lighting in the same light intensity condition. Increases differed under fluorescent light and sun light. That of Saineaulia ‘Delaware’and Anthurium scherzerianum increased in the order of optical fiber, fluorescent light and sun light, but that of Kalanchoe blossfeldiana and Ardisia pusilla increased in the order of optical fiber lighting, sun light and fluorescent light. Summing up these results, In visual value or internal health status of all experimental plants we obtained the highest result under an optical fiber lighting. Finally, we need to introduce an optical fiber lighting in interior landscape space as main light source.

A NOTE ON VALUE DISTRIBUTION OF COMPOSITE ENTIRE FUNCTIONS

  • Lahiri, Indrajit
    • 대한수학회보
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    • 제38권1호
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    • pp.1-6
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    • 2001
  • We discuss the value distribution of composite entire functions including those of infinite order and estimate the number of Q-points of such functions for an entire function Q or relatively slower growth.

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기계적 체결부 균열의 피로균열성장에 관한 연구 (A Study on the Fatigue Crack Growth of Cracks in Mechanical Joints)

  • 허성필;양원호;정기현
    • 한국자동차공학회논문집
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    • 제10권1호
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    • pp.187-194
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    • 2002
  • It has been reported that cracks in mechanical joints is generally under mixed-mode and there is critical inclined angle at which mode I stress intensity factor becomes maximum. The crack propagates in arbitrary direction and thus the prediction of crack growth path is needed to provide against crack propagation or examine safety. In order to evaluate the fatigue life of cracks in mechanical joints, horizontal crack normal to the applied load and located on minimum cross section is major concern but critical inclined crack must also be considered. In this paper mixed-mode fatigue crack growth test is performed far horizontal crack and critical inclined crack in mechanical joints. Fatigue crack growth path is predicted by maximum tangential stress criterion using stress intensity factor obtained from weight function method, and fatigue crack growth rates of horizontal and inclined crack are compared.