• Title/Summary/Keyword: s function

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SEVERAL RESULTS ASSOCIATED WITH THE RIEMANN ZETA FUNCTION

  • Choi, Junesang
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.3
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    • pp.467-480
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    • 2009
  • In 1859, Bernhard Riemann, in his epoch-making memoir, extended the Euler zeta function $\zeta$(s) (s > 1; $s{\in}\mathbb{R}$) to the Riemann zeta function $\zeta$(s) ($\Re$(s) > 1; $s{\in}\mathbb{C}$) to investigate the pattern of the primes. Sine the time of Euler and then Riemann, the Riemann zeta function $\zeta$(s) has involved and appeared in a variety of mathematical research subjects as well as the function itself has been being broadly and deeply researched. Among those things, we choose to make a further investigation of the following subjects: Evaluation of $\zeta$(2k) ($k {\in}\mathbb{N}$); Approximate functional equations for $\zeta$(s); Series involving the Riemann zeta function.

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SOME IDENTITIES INVOLVING THE LEGENDRE'S CHI-FUNCTION

  • Choi, June-Sang
    • Communications of the Korean Mathematical Society
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    • v.22 no.2
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    • pp.219-225
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    • 2007
  • Since the time of Euler, the dilogarithm and polylogarithm functions have been studied by many mathematicians who used various notations for the dilogarithm function $Li_2(z)$. These functions are related to many other mathematical functions and have a variety of application. The main objective of this paper is to present corrected versions of two equivalent factorization formulas involving the Legendre's Chi-function $\chi_2$ and an evaluation of a class of integrals which is useful to evaluate some integrals associated with the dilogarithm function.

The Effect of Maternal Cognitive Empathy on Preschooler's Executive Function: Mediating Effects of Preschooler's Caring Behavior and Happiness (어머니의 인지적 공감능력이 유아의 실행기능에 미치는 영향: 유아 배려행동과 행복감의 매개효과)

  • Kong, Youngsook;Lim, Jiyoung;An, Sunjung;Lee, Yoonjeong
    • Human Ecology Research
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    • v.60 no.1
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    • pp.99-113
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    • 2022
  • This study examined the effect of maternal cognitive empathy on children's executive function focusing on mediating effects of preschooler's caring behavior and happiness. The subject of this study was 460 five-year-old preschooler-their mother dyads in Korea. Data were collected by Korean Version of Questionnaire of Cognitive and Affective Empathy(K-QCAE), Caring Behaviors Scale for Young Children, Happiness Scale for Young Children and Behavior Rating Inventory of Executive Function-Preschool Version(BRIEF-P). Data were analyzed using descriptive statistics, independent samples t-test, Pearson correlation analysis, structural equation model and bootstrapping test with SPSS 25.0 and AMOS 23.0 program. The major results were as follows. 1) Maternal cognitive empathy had a positive influence on preschooler's caring behavior. 2) Preschooler's caring behavior had a positive influence on happiness and executive function. 3) Preschooler's happiness had a positive influence on executive function. 4) The effect of maternal cognitive empathy on preschooler's executive function was mediated by preschooler's caring behavior. 5) The effect of maternal cognitive empathy on preschooler's executive function was sequentially mediated by preschooler's caring behavior and happiness. This study revealed that maternal cognitive empathy, preschooler's caring behavior, and happiness have an important role in preschooler's executive function. Most of all, we suggest that maternal cognitive empathy should be improved to promote preschooler's executive function. The findings of this study will contribute to designing intervention programs to improve preschooler's executive function as well as maternal empathy.

INTEGRAL REPRESENTATIONS OF THE k-BESSEL'S FUNCTION

  • Gehlot, Kuldeep Singh;Purohit, Sunil Dutt
    • Honam Mathematical Journal
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    • v.38 no.1
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    • pp.17-23
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    • 2016
  • This paper deals with the study of newly defined special function known as k-Bessel's function due to Gehlot [2]. Certain integral representations of k-Bessel's function are investigated. Known integrals of classical Bessel's function are seen to follow as special cases of our main results.

The Influence of Parent's Play Participation and Children's Friendly Play Initiative on Children's Executive Function: Focusing on the Mediating Effect of Children's Play Flow (부모 놀이참여와 유아의 친화적 놀이주도성이 유아의 실행기능에 미치는 영향: 유아 놀이몰입의 매개효과를 중심으로)

  • Sooyoung, Byun;Jiyoung, Lim
    • Korean Journal of Childcare and Education
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    • v.18 no.6
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    • pp.37-57
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    • 2022
  • Objective: The purpose of this study was to investigate whether parent's play participation and children's friendly play initiative affect children's executive function through children's play flow. Methods: The survey was conducted on 376 children between the age of 3 and 5 their parents in Daegu city and Gyeonsang province. Data were collected through the questionnaires and analyzed using descriptive statistics, independent sample t-test, one-way ANOVA, Pearson correlation analysis, and path analysis with SPSS 25.0 and AMOS 23.0 programs. Results: The major results were as follows. First, There were significant differences in parent's play participation, children's friendly play initiative, children's play flow, and executive function according to the children's age and family income. Second, parent's play participation and children's friendly play initiative indirectly affected children's executive function through children's play flow. Conclusion/Implications: This study highlights how children's play affects executive function. Also, the findings of this study will contribute to designing various programs that can promote parent's play participation, children's friendly play initiative, and play flow, which affects the children's executive function.

Dynamic Combination of Land Use Planning and Water Planning using GIS, VE and LCC (GIS, 가치공학, 그리고 생애주기비용에 의한 토지이용계획과 상수도계획의 동적인 연계)

  • Kim, Hyeong-Bok
    • 한국공간정보시스템학회:학술대회논문집
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    • 2000.06a
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    • pp.93-105
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    • 2000
  • GIS is a powerful toolbox in managing spatial data associated with attribute data. However GIS is short of spatial analysis function and graphic user interface(GUI) function in dealing with dynamic planning problems. Decision Support Systems(DSS) make up for the shortage of GIS by providing GUI function, modeling function and database function. Spatial Decision Support Systems(SDSS), a new kind of DSS, incorporate display function, basic spatial analysis function and manipulation function of spatial data and attribute data of GIS and GUI function, modeling function and database function of DSS in dealing with spatial planning problems. Planning Support Systems(PSS) add more advanced spatial analysis function and intertemporal function to the functions of SDSS. This study focuses on the modeling of a PSS for capacity expansion of water-distribution network depending upon land use planning by using GIS, value engineering(VE) and life cycle costing(LCC). The PSS shows a guideline about the investment of water-distribution networks related to urban growth management through generating certain numbers of dynamic alternatives to supply the amount of water caused by land use planning.

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A Study of Middleman's Functions in Fisheries Port Market (수산물 산지 중도매인 기능 변화에 관한 연구)

  • Jang, Young-Soo
    • The Journal of Fisheries Business Administration
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    • v.38 no.3
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    • pp.89-108
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    • 2007
  • The purpose of the study are summarized as follows: First, it has researched the new functions of middleman in Fisheries Port Market. Second, the new functions which middleman have to perform in Fisheries Port Market consist of the origin function, marketing function, logistics function. The origin function consists of the discrimination of fish species and freshness, making the price by auction, financing, etc. Marketing function consists of various species assortment from not only fisheries port market but also non fisheries port market as frozen and import fish markets, finding the new selling markets as not broker but wholesaler, making the price and margin non through the action, processing, etc. Logistics function consist of fish stock, delivery Third, it has recognized the upcoming important problems by building up the new functions as middleman in Fisheries port Market. This study has used a questionnaire to verify 3 hypotheses. Research model, factor analysis, regression analysis. The result of this study are summarized as follows: The origin function influences positively on the effectiveness of middleman's performance in Fisheries port Market. Marketing function influences positively on the effectiveness of middleman's performance. However, logistics function did not directly influences on the effectiveness of middleman's performance.

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Correlations among Respiratory Function, UPDRS and Senior Fitness in Parkinson's Disease Patients (파킨슨병환자의 호흡기능, UPDRS 및 Senior Fitness의 관련성)

  • Kang, Dong-Yeon;Cheon, Sang-Myung;Cheon, Sang-Myung;Lee, Kyung-Soon;Kim, Kyoung
    • The Journal of Korean Physical Therapy
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    • v.26 no.2
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    • pp.48-55
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    • 2014
  • Purpose: The purpose of this study was to examine correlations among UPDRS, respiratory function, and senior fitness and to investigate the effects of restrictive respiratory function on these factors in Parkinson's disease patients. Methods: Subjects (n=25, Hoehn & Yahr (H&Y) stage: 2-3, $69.3{\pm}5.9$ yrs) from D Hospital Parkinson's Disease Center at Busan metropolitan area in the Republic of Korea volunteered for this study. They performed the pulmonary function test, UPDRS, and the senior fitness test. SPSS 18.0 was used for analysis of data, and the collected data were analyzed using Pearson's correlation coefficient (n=25). In addition, Independent t-test was used for determination of differences between two groups (between the normal pulmonary function group (n=10) and the restrictive pulmonary function group (n=10)). Results: Forced vital capacity (FVC (L)) showed significant negative correlation (r=-0.44, p<0.05) with H&Y stage in Parkinson's disease patients, and chair stand showed significant negative correlations (r=0.41, 0.43, 0.42, p<0.05) with FVC (L), FVC (%), and FEV1 (L). FVC (%) showed significant positive correlations (r=0.44, r=0.44, p<0.05) with right and left back scratch. In addition, the restrictive respiratory function group showed significantly lower FVC (%) (p<0.01) and was significantly slower (p<0.05) in the 8-foot up-and-go test than the normal respiratory function group. Conclusion: In conclusion, these results suggest that restrictive respiratory function in PD was related to H&Y stage. In addition, agility of PD patients was lower in the restrictive respiratory function group than in the normal function group.

Structural Relationship among Children's Academic Stress, Grit, Executive Function Difficulty, and Media Device Addiction (아동의 학업스트레스, 그릿, 집행기능 곤란 및 미디어기기 과의존 간의 구조적 관계)

  • Kong, Youngsook;Lim, Jiyoung
    • Human Ecology Research
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    • v.59 no.3
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    • pp.387-400
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    • 2021
  • This study examined the structural relationship between children's academic stress, grit, executive function difficulty, and media device addiction. Data on 1,132 children and their mothers from the 11th (2018)Panel Study on Korean Children were used for the study. Data were collected by Academic Stress Scale, Grit Scale-Children, Child-Adolescent Self-reported Executive Function Difficulty Screening Questionnaire, and K-Internet Addiction Scale. Data were analyzed using SPSS 25.0 and AMOS 23.0 program with Pearson correlation, structural equation model and bootstrapping. The main results were as follows. 1) Children's academic stress had a negative influence on their grit. 2) Children's grit had a negative influence on their executive function difficulty and media device addiction. 3) Children's executive function difficulty had a positive influence on their media device addiction. 4) The relationship between children's academic stress and media device addiction was mediated by their grit and executive function difficulty. This study is significant in the sense that it found protective factors and risk factors for children's addiction to media devices. We suggest that children's grit be improved, and their academic stress and executive function difficulty be reduced to prevent and mediate children's media device addiction.

A Structural Equation Model on Sexual Function in Women with Gynecologic Cancer (부인암 여성의 성기능 구조모형)

  • Chun, Na-Mi
    • Journal of Korean Academy of Nursing
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    • v.38 no.5
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    • pp.639-648
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    • 2008
  • Purpose: This study was designed to construct and test a structural equation model on sexual function in women with gynecologic cancer. Methods: The model was constructed and tested under the hypotheses that women's physical changes in sexual function after gynecologic cancer treatment did not automatically lead to sexual dysfunctions. Women's psychosocial factors were considered to be mediating variables. Two hundred twelve women with cervical, ovarian, and endometrial cancer were recruited and asked to complete a survey on their physical factors, psychosocial factors and sexual function. Data was analyzed using SPSS WIN 12.0 and Amos WIN 5.0. Results: Predictors of sexual function in the final model were sexual attitude affected by physical distress and couple's age, sexual information affected by physical distress and couple's age, depression affected by physical distress, and marital intimacy affected by physical distress. Tumor stage and time since last treatment directly affected women's sexual function without any mediating psychosocial variables. However, body image did not affect women's sexual function. Conclusion: Nursing professionals should develop a tailored educational program integrating both physical and psychosocial aspects, and apply it to women and their spouses in order to promote sexual function in women with gynecologic cancer.