• 제목/요약/키워드: Power-mean Inequality

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NEW QUANTUM VARIANTS OF SIMPSON-NEWTON TYPE INEQUALITIES VIA (α, m)-CONVEXITY

  • Saad Ihsan Butt;Qurat Ul Ain;Huseyin Budak
    • Korean Journal of Mathematics
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    • 제31권2호
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    • pp.161-180
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    • 2023
  • In this article, we will utilize (α, m)-convexity to create a new form of Simpson-Newton inequalities in quantum calculus by using q𝝔1-integral and q𝝔1-derivative. Newly discovered inequalities can be transformed into quantum Newton and quantum Simpson for generalized convexity. Additionally, this article demonstrates how some recently created inequalities are simply the extensions of some previously existing inequalities. The main findings are generalizations of numerous results that already exist in the literature, and some fundamental inequalities, such as Hölder's and Power mean, have been used to acquire new bounds.

An Improved Mean-Variance Optimization for Nonconvex Economic Dispatch Problems

  • Kim, Min Jeong;Song, Hyoung-Yong;Park, Jong-Bae;Roh, Jae-Hyung;Lee, Sang Un;Son, Sung-Yong
    • Journal of Electrical Engineering and Technology
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    • 제8권1호
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    • pp.80-89
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    • 2013
  • This paper presents an efficient approach for solving economic dispatch (ED) problems with nonconvex cost functions using a 'Mean-Variance Optimization (MVO)' algorithm with Kuhn-Tucker condition and swap process. The aim of the ED problem, one of the most important activities in power system operation and planning, is to determine the optimal combination of power outputs of all generating units so as to meet the required load demand at minimum operating cost while satisfying system equality and inequality constraints. This paper applies Kuhn-Tucker condition and swap process to a MVO algorithm to improve a global minimum searching capability. The proposed MVO is applied to three different nonconvex ED problems with valve-point effects, prohibited operating zones, transmission network losses, and multi-fuels with valve-point effects. Additionally, it is applied to the large-scale power system of Korea. The results are compared with those of the state-of-the-art methods as well.

남녀 고등학생의 성희롱에 대한 태도 및 경험에 관한 조사연구 (A Study of the Attitude and Experience for Sexual Harassment in Adolescence)

  • 정의남;박신애
    • 지역사회간호학회지
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    • 제11권2호
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    • pp.538-555
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    • 2000
  • The purpose of this study, in which 573 students from 2 high schools in Kang Nung city participated was to identify the attitude and experience of sexual harassment. This information will provide useful data, and promote a more systematic sexual harassment education program. The subjects of this study were 278 male students and 295 female students. The data was collected from September 25 to October 6. 2000. The data was analyzed using the statistical Computer package. SPSS to manipulate the data along with frequency, percentage, and mean t-test. The results from this study were summarized as follows. 1. The results from this comparison between two groups were significant in their attitude on sexual harassment(t=-2.26. p=0.024). Female students had higher scores than male students. 2. As a cause of sexual harassment. 'A man's misjudgement regarding a women as sexual objects(n=130: 22.7%)'. 'Patriarchal system of unequal distribution of power and status between the sexes(n=105: 18.3%)'. 'The effect of sexual stimulatives. (pornography. pornovideo. TV program ect.)(n=89: 15.5%)'. 3. As a countermeasure for prevention, 'Punishment, law and regulation of the sexual harasser(n = 151; 26.4%)', 'A preventive education of sexual harassment in adolescence (n = 125: 21.8%)'. 'Reformation of gender inequality and sex discrimination in the socio-structure(n=76; 13.3%)'. 4. Out of 573 students who participated in this study, 209(36.5%) students reported experiencing an incident of sexual harassment. For 278 males who participated in this study, 88(31.7%) had experienced an incident of sexual harassment. For the 295 females who participated in this study, 121(41.0%) had experienced an incident of sexual harassment. The type of sexual harassment is reported physical sexual harassment(n = 248: 40.5%), verbal sexual harassment(n = 226; 36.7%), and visual sexual harassment(n=139: 22.6%). 5. Their age in which they had experienced harassment was usually 'after 16 years of age(n=122: 58.4%)'. The age of harassers were mostly teenagers(n=112; 53.6%). The relationship to the with sexual harasser was a stranger (n=85; 40.7%), or a friend(n=78: 37.3%). After the incident of sexual harassment occurred, some students informed friends (n=114: 54.5%), 63(30.1%) told no one. Male students' feelings after the experienced harassment ranged from: 'be interesting', 'be pleasant'. Female students' feelings after the experienced harassment ranged from; 'be surprised', 'get a shock', 'fear', 'shame'.

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기혼여성의 경제적 의존과 복지국가 (Married Women's Economic Dependency and the Welfare State)

  • 김영미
    • 사회복지연구
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    • 제36호
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    • pp.55-80
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    • 2008
  • 이 연구는 기혼여성의 경제적 의존 수준을 국가 비교를 통해 분석함으로써, 그동안 많은 복지국가 및 소득불평등 연구에서 간과해 온 가족 내(within a family) 불균등한 권력관계를 검토하였다. 기혼여성의 경제적 의존은 가구 내에서, 그리고 전체 사회 내에서 여성들이 열악한 지위에 놓여 있게 하는 원인으로 작용한다. 가족 내 부부의 소득의 비중을 이용한 Sørensen & McLanahan(1987)의 의존 지수(Dependency Index)를 OECD 16개 국가에 대해 도출하였다. 분석 자료는 가구 내 남편과 부인 각각의 소득에 관한 정보를 제공하는 룩셈부르크 소득조사(LIS) Wave V(2000년 전후 시점)이다. 이 지수는 노동시장 참여여부, 노동시간, 임금수준을 종합적으로 고려하였다. 의존 지수는 배우자 중 한 명이 노동시장에 참여하지 않는 경우를 포함한 모든 부부를 대상으로 했을 때와 맞벌이 부부만을 포함했을 때로 구분하여 도출하였다. 분석 결과, 모든 부부를 대상으로 했을 때 의존 지수값은 스칸디나비아 국가들이 가장 낮게 나타났다. 이는 이들 국가의 높은 경제활동 참가율에 기인한다고 할 수 있다. 7세 미만 자녀가 있을 경우 기혼여성의 경제적 의존 상황은 더욱 악화되는데, 국가마다 상당한 정도의 차이가 존재하는 것으로 나타났다. 맞벌이 부부를 대상으로 한 의존 지수값의 경우, 앞의 결과와 비교하여 대부분의 국가에서 의존 지수값이 작아졌고 국가 간 편차가 다소 줄어들었다. 여성 파트타임 고용률이 높은 국가들의 경우, 여전히 의존 수준이 높게 나타나 기혼여성의 노동시장 참여가 반드시 맞벌이 가구에서의 경제적 권력관계를 변화시키는 것은 아님을 보여주었다. 마지막으로, 기혼여성의 경제적 독립수준이 높아지는데 필요한 정치 경제 제도적 조건에 대한 분석을 실시하였다. Ragin(2000)의 퍼지셋 질적비교분석(FSQCA)방법을 사용하여 필요충분조건 분석을 실시한 결과, 강력한 노동운동의 영향력, 높은 수준의 공공 부문 고용창출, 관대한 가족지원 조건이 기혼여성의 경제적 독립성에 필요한 조건임이 검증되었다.