• Title/Summary/Keyword: S-transformation

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TRANSFORMATION FORMULAS FOR THE GENERATING FUNCTIONS FOR CRANKS

  • Lim, Sung-Geun
    • East Asian mathematical journal
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    • v.27 no.3
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    • pp.339-348
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    • 2011
  • B. C. Berndt [6] has evaluated the transformation formula for a large class of functions that includes and generalizes the classical Dedekind eta-function. In this paper, we consider a twisted version of his formula. Using this transformation formula, we derive modular trans-formation formulas for the generating functions for cranks which were central to deduce K. Mahlburg's results in [11].

A FEW CLASSES OF INFINITE SERIES IDENTITIES FROM A MODULAR TRANSFORMATION FORMULA

  • Lim, Sung Geun
    • Journal of the Chungcheong Mathematical Society
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    • v.35 no.4
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    • pp.277-295
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    • 2022
  • The author proved a modular transformation formula for a function related to generalized non-holomorphic Eisenstein series and, using this formula, established a lot of infinite series identities. In this paper, we find more generalized series relations which contain the author's previous work.

The Essential Prescriptions of the Golden Chamber (金匮要略) use of Shen Qi Pill(肾气丸)'s for qi's transformation(气化), truly embodies the analysis found in the Yellow Emperor internal classic(黃帝内经) describing the kidney functions (종"황제내경"신지공능탐석"금궤요략"신기환기화작용적체현(从"黃帝内经"肾之功能探析"金匮要略"肾气丸气化作用的体现))

  • Park, Eun Hee;Xie, Jing;Jia, Chunhua
    • Journal of Korean Medical classics
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    • v.26 no.1
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    • pp.39-45
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    • 2013
  • Objective : This article is based on a formula taken from Essential Prescriptions of the Golden Chamber(金匮要略). Shen Qi Pill(肾气丸) is generally used for such deficiency cases as: consumptive diseases, xiaoke(消渴) (waisting, thirst), beriberi, urinary problems during pregnancy, phlegm and so forth, and its main purpose is to treat Kidney Qi depletion, Qi transformation disorders, without obvious hot/cold appearance patterns. Method : Mainly through the literature study of related treatise on IInner Canon of the Yellow Emperor's internal classic(黃帝内经) and The Essential Prescriptions of the Golden Chamber. Result : According to the Yellow Emperor's internal classic, the Kidney has three main functions, storing essence, controlling the waters and holding Qi. Shen Qi Pill's(肾气丸) source formula is intended to supplement even though its constituent herbs aren't the warming type. To reinforce the Qi's transformation ability is considered to be a main function of the kidney organ, and in clinic, diagnosed kidney related problems and its treatment process are mainly associated with warming to help the Qi transforming. Conclusion : Thus recovering the kidneys Qi's transformation function is part of the process to eliminate diseases. Just cause the Kidney is deficient we shouldn't think immediately of using warming supplement herbs.

The Cosmetics Consumption Behavior Related to Aesthetic Consciousness in Post-80s, 90s Generation in Xi'an (시안의 80후, 90후 세대 여성의 미의식에 따른 화장행동 연구)

  • Yu, Jingqi;Ahn, SuhYoung;Koh, Ae-Ran
    • Human Ecology Research
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    • v.56 no.1
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    • pp.85-97
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    • 2018
  • For a further understanding of the Chinese consumer, this study investigated 1) the effects of aesthetic consciousness on make-up attitude, and 2) the differences in the effect of aesthetics consciousness on make-up attitude among age groups. An online survey was conducted on female consumers belonging to the post-80s and 90s generations, living in Xian China. SPSS 24.0 and Amos 18.0 was used for data analysis. Confirmatory factor analysis for the research variables were performed and three factors of aesthetic consciousness (social relations consideration, internal consideration, and external consideration), and four factors of make-up attitude (psychological pleasure, self-satisfaction, consciousness of others, and tool of transformation) were identified. The results from the model test were : 1) aesthetics consciousness was found to vary depending on make-up attitude. Social relations consideration had a positive effects on psychological pleasure, self-satisfaction, and tool of transformation. Internal consideration had a positive effect on self-satisfaction and tool of transformation, and a negative effect on psychological pleasure. External consideration had positive effects on all four factors of make-up attitude. 2) In the post-80s participants, social relations consideration and external consideration had positive effects on all four factors of make-up attitude. Internal consideration s had a negative effect on consciousness of others and a positive effect on tool of transformation. In the post-90s participants, social relations consideration had positive effects on psychological pleasure, self-satisfaction, and tool of transformation. Internal consideration had positive effects on psychological pleasure and self-satisfaction.

Generalization of a Transformation Formula for the Exton's Triple Hypergeometric Series X12 and X17

  • Choi, Junesang;Rathie, Arjun K.
    • Kyungpook Mathematical Journal
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    • v.54 no.4
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    • pp.677-684
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    • 2014
  • In the theory of hypergeometric functions of one or several variables, a remarkable amount of mathematicians's concern has been given to develop their transformation formulas and summation identities. Here we aim at generalizing the following transformation formula for the Exton's triple hypergeometric series $X_{12}$ and $X_{17}$: $$(1+2z)^{-b}X_{17}\;\left(a,b,c_3;\;c_1,c_2,2c_3;\;x,{\frac{y}{1+2z}},{\frac{4z}{1+2z}}\right)\\{\hfill{53}}=X_{12}\;\left(a,b;\;c_1,c_2,c_3+{\frac{1}{2}};\;x,y,z^2\right).$$ The results are derived with the help of two general hypergeometric identities for the terminating $_2F_1(2)$ series which were very recently obtained by Kim et al. Four interesting results closely related to the Exton's transformation formula are also chosen, among ten, to be derived as special illustrative cases of our main findings. The results easily obtained in this paper are simple and (potentially) useful.

Effects of Wounding and Inoculation Time on Agrobacterium -mediated Transformation in Capsicum annuum L. (상처처리와 접종시간이 Agrobacterium에 의한 고추 형질전환에 미치는 영향)

  • Jeon, Young-Ju;Park, Young-Doo;Choi, Geun-Won
    • Horticultural Science & Technology
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    • v.18 no.6
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    • pp.797-801
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    • 2000
  • The present study was conducted to improve the efficiency of transformation mediated by Agrobacterium tumefaciens in hot pepper. Both regeneration ratio and transformation frequency after the cocultivation with A. tumefaciens were affected by inoculation time and artificial wounding. Transformation frequency was increased over 50% by combining artificial wounding with 120 s of inoculation treatment. Confirmation for the transformation of regenerated shoots was carried out by histochemical ${\beta}$-glucuronidase assay and polymerase chain reaction analysis using npt II primer.

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A Study on Color Management of Input and Output Device in Electronic Publishing (II) (전자출판에서 입.출력 장치의 컬러 관리에 관한 연구 (II))

  • Cho, Ga-Ram;Koo, Chul-Whoi
    • Journal of the Korean Graphic Arts Communication Society
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    • v.25 no.1
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    • pp.65-80
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    • 2007
  • The input and output device requires precise color representation and CMS (Color Management System) because of the increasing number of ways to apply the digital image into electronic publishing. However, there are slight differences in the device dependent color signal among the input and output devices. Also, because of the non-linear conversion of the input signal value to the output signal value, there are color differences between the original copy and the output copy. It seems necessary for device-dependent color information values to change into device-independent color information values. When creating an original copy through electronic publishing, there should be color management with the input and output devices. From the devices' three phases of calibration, characterization and color conversion, the device-dependent color should undergo a color transformation into a device-independent color. In this paper, an experiment was done where the input device used the linear multiple regression and the sRGB color space to perform a color transformation. The output device used the GOG, GOGO and sRGB for the color transformation. After undergoing a color transformation in the input and output devices, the best results were created when the original target underwent a color transformation by the scanner and digital camera input device by the linear multiple regression, and the LCD output device underwent a color transformation by the GOG model.

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Effect of Prior Deformation and Cyclic Transformation on the Mechanical Properties in Fe-30 Ni-0.24C Alloy (Fe-30 Ni-0.24C합금에서 역변태 오스테나이트의 기계적 성질에 미치는 이전가공도 및 역변태 Cycle수의 영향)

  • Kim, H.S.;Lee, K.B.;Hong, S.K.
    • Journal of the Korean Society for Heat Treatment
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    • v.3 no.4
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    • pp.1-9
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    • 1990
  • In this study, the ausformed martensite cooled to $-196^{\circ}C$ with various deformation degrees in Fe-30%Ni-0.24%C alloy was transformed to reversed austenite at $500^{\circ}C$ by cyclic reverse martensitic transformation. The effects of prior deformation and the number of cyclic reverse transformation on the microstructure and the mechanical properities of reversed anstensite were investigated. Experimental results showed that the strength of reversed austenite was higher than that of original austenite. This is due to higher dislocation density and grain refining. The reversed austenite formed from ausformed martensite was highly strengthened by prior deformation. This strengthening effect of reversed austenite is attributed to higher dislocation density than grain fefining. The yield strength of reversed austenite below 30% prior deformation, but above 30% prior deformation the strength of reversed austenite is lower than that of deformed austenite. This is due to partly disappearance of strain hardening effect at higher deformation degree by reverse transformation. The strength of reversed austenite is increased with the number of cyclic transformation. Especially, it is principally strengthened by the first cyclic transformation and shows higher increase in yield strength than that of ultimate tensile strength.

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A Morphological Study on the Modern Urbanization and Transformation Type of Urban Tissues in Kunsan (군산의 근대도시발달과정과 도시조직의 변화 유형에 관한 형태학적 연구)

  • Lee, Kyung-Chan;Huh, Joon
    • Journal of the Korean Institute of Landscape Architecture
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    • v.32 no.6 s.107
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    • pp.36-51
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    • 2005
  • The purpose of this thesis is to analyse modem urbanization process and the morphological transformation of the urban tissues in Kunsan between the you 1899 and 2001, The method of this study is to investigate the transformation process of morphological elements such as plot structure, building layout, building facades, land use, exterior space structure and their use, with actual field surveys, the analysis of land registration maps in 1912, and various topological map. Morphological analysis on modern Kunsan is progressed by three steps-typo-morphological analysis of urban tissue in old-town area, interpretation of morphological process, and transformation process, of morphological structure in Japanese concession in view of plots system. As a result, it is found that there is cyclical relationship among the morphological transformation processes of morphological elements, plots, buildings, land-uses, and access space to buildings. From the view of town plan change, the period of restoration of war damage in 1950s and compressive growing period in 1960s have important meaning in the morphological process of old-town area. Particularly the first building plan and layout type together with plot form and structure is acted as the main factor to decide the subsequent plot transformation system, exterior space system and the particular streetscape in Kunsan.