• Title/Summary/Keyword: Involving

Search Result 7,299, Processing Time 0.036 seconds

CERTAIN FORMULAS INVOLVING EULERIAN NUMBERS

  • Choi, Junesang
    • Honam Mathematical Journal
    • /
    • v.35 no.3
    • /
    • pp.373-379
    • /
    • 2013
  • In contrast with numerous identities involving the binomial coefficients and the Stirling numbers of the first and second kinds, a few identities involving the Eulerian numbers have been known. The objective of this note is to present certain interesting and (presumably) new identities involving the Eulerian numbers by mainly making use of Worpitzky's identity.

THE CATALAN'S CONSTANT AND SERIES INVOLVING THE ZETA FUNCTION

  • Choi, June-Sang
    • Communications of the Korean Mathematical Society
    • /
    • v.13 no.2
    • /
    • pp.435-443
    • /
    • 1998
  • Some mathematical constants have been used in evaluating series involving the Zeta function, the origin of which can be traced back to an over two centries old theorem of Christian Goldbach. We show some of the series involving the Zeta function can be evaluated in terms of the Catalan's constant by using the theory of the double Gamma function.

  • PDF

SOME RESULTS INVOLVING THE MULTIPLE H FUNCTION

  • Mathur, B.L.;Krishna, Shri
    • Kyungpook Mathematical Journal
    • /
    • v.18 no.2
    • /
    • pp.239-244
    • /
    • 1978
  • The object of the present paper is to obtain certain results involving the H function of several complex variables. An integral involving the generalized Whittaker functions and the multiple H function has been evaluated and this result has been further utilized in finding out an expansion formula for the multiple H function in terms of the Laguerre polynomials. Some particular cases of interest have also been indicated.

  • PDF

Intensity of Physical Therapy for Stroke (뇌졸중 환자를 위한 물리치료 강도)

  • Shin, Jae-Wook;Kim, Jae-Yong;Kim, Jwa-Jun
    • PNF and Movement
    • /
    • v.11 no.1
    • /
    • pp.35-42
    • /
    • 2013
  • Purpose : This paper reviews intensity of physical therapy for stroke. Methods : This is literature study with Pubmed, EBSCO, ProQuest, EMBASE and CINAHL. Results : There were 20 studies that reviewed effects of increased intensity of physical therapy after stroke involving time post-stroke, elements of physical therapy, duration of physical therapy, methods of physical therapy. Ten of the eleven studies, involving time post-stroke, demonstrated significant improvement. Seventeen studies involving upper extremity, lower extremity and mobility demonstrated significant improvement. Five studies involving increased duration of physical therapy demonstrated significant improvement. Studies involving methods of physical therapy showed that mix of different methods is more effective than single method. Conclusion : Increased intensity of physical therapy improve functional recovery.

Effect of Eicosapentaenoic Acid on Cellular Lipid Accumulation and Transcription Factors Involving Glucose Utilization (에이코사펜타에노익산에 의한 세포 내에서의 지방 축적 억제 효과 및 포도당 대사에 관여하는 전사인자의 변화)

  • Bu, So-Young
    • The Korean Journal of Food And Nutrition
    • /
    • v.24 no.4
    • /
    • pp.501-508
    • /
    • 2011
  • Previous studies suggest that polyunsaturated fatty acids with long carbon chains such as eicosapentaenoic acid(EPA) and docosahexaenoic acid(DHA) have several health benefits. However metabolic consequences of these fatty acids themselves and their regulation of transcriptional activity involving glucose utilization are not well established. Thus, the purpose of this study was to investigate how EPA influx affects cellular lipid accumulation and gene expressions involving $de$ $novo$ lipogenesis in hepatocyte cultures. Compared to oleic acid treatment, EPA treatment showed remarkably decreased cellular TG conversion and accumulation, along with phospholipids at a lower extent. As expected, EPA increased mRNA expression involving fatty acid influx and lipid droplet formation, but did not affect mRNA expression involving glucose utilization. EPA increased transcriptional activity of PPAR-${\alpha}$ and glucose responsive transcription factor when transcription factor binding protein was activated. Taken together, these data suggest that EPA decreases lipid accumulation through increases of the ${\beta}$-oxidation pathway without interruption of glucose utilization.

CERTAIN NEW INTEGRAL FORMULAS INVOLVING THE GENERALIZED BESSEL FUNCTIONS

  • Choi, Junesang;Agarwal, Praveen;Mathur, Sudha;Purohit, Sunil Dutt
    • Bulletin of the Korean Mathematical Society
    • /
    • v.51 no.4
    • /
    • pp.995-1003
    • /
    • 2014
  • A remarkably large number of integral formulas involving a variety of special functions have been developed by many authors. Also many integral formulas involving various Bessel functions have been presented. Very recently, Choi and Agarwal derived two generalized integral formulas associated with the Bessel function $J_{\nu}(z)$ of the first kind, which are expressed in terms of the generalized (Wright) hypergeometric functions. In the present sequel to Choi and Agarwal's work, here, in this paper, we establish two new integral formulas involving the generalized Bessel functions, which are also expressed in terms of the generalized (Wright) hypergeometric functions. Some interesting special cases of our two main results are presented. We also point out that the results presented here, being of general character, are easily reducible to yield many diverse new and known integral formulas involving simpler functions.

Accidents involving Children in School Zones Study to identify the key influencing factors (어린이보호구역내 어린이 교통사고 발생에 미치는 영향요인 분석)

  • Park, Sinae;Lim, Junbeom;Kim, Hyungkyu;Lee, Soobeom
    • International Journal of Highway Engineering
    • /
    • v.19 no.2
    • /
    • pp.167-174
    • /
    • 2017
  • PURPOSES: This study aims to analyze the impact of the implementation of a school zone traffic safety improvement project on the number of accidents involving children in these zones. METHODS : To analyze the correlation between school zone traffic safety features of roads in the zone and the number of accidents involving children, we developed an occurrence probability model of traffic accidents involving children by using a binary logistic regression model with SPSS 23.0 software. Two separate models were developed for two zones: interior block and arterial road. RESULTS :The model depicted that in the case of the interior block, shorter sidewalk width, speed bump, and an elevated crosswalk were key factors affecting the occurrence of accidents involving children. In the case of arterial roads exceeding a width of 12 m, the speed limit, roadside barriers, and red paving of road surfaces were found to be the key factors. CONCLUSIONS:The results of this study can serve as the elementary research data to help improve the effectiveness of school zone traffic safety improvement projects and school zone road repair projects in future.

Dynamic Frictional Properties of Geosynthetic Interfaces Involving Only Non-geotextiles (지오텍스타일을 포함하지 않은 토목섬유 경계면의 동적 마찰 특성)

  • Kim Jin-Man
    • Journal of the Korean Geotechnical Society
    • /
    • v.21 no.7
    • /
    • pp.81-89
    • /
    • 2005
  • Relationship between dynamic friction resistances and shear displacement rate, and other frictional characteristics of non-geotextile-involving geosynthetic interfaces was experimentally studied. A cyclic, displacement rate-controlled experimental setup built on a shaking table was used. The subsequent multiple rate tests showed that interfaces that do not involve geotextiles have distinct shearing characteristics that can be differentiated from the interfaces involving geotextiles. Unlike those of the geotextile-involving interfaces, shear behaviors of the interfaces involving only non-geotextiles tend to be not sensitive to shear displacement rate, and are approximately rigid-perfectly plastic.

SOME BILATERAL GENERATING FUNCTIONS INVOLVING THE CHAN-CHYAN-SRIVASTAVA POLYNOMIALS AND SOME GENERAL CLASSES OF MULTIVARIABLE POLYNOMIALS

  • Gaboury, Sebastien;Ozarslan, Mehmet Ali;Tremblay, Richard
    • Communications of the Korean Mathematical Society
    • /
    • v.28 no.4
    • /
    • pp.783-797
    • /
    • 2013
  • Recently, Liu et al. [Bilateral generating functions for the Chan-Chyan-Srivastava polynomials and the generalized Lauricella function, Integral Transform Spec. Funct. 23 (2012), no. 7, 539-549] investigated, in several interesting papers, some various families of bilateral generating functions involving the Chan-Chyan-Srivastava polynomials. The aim of this present paper is to obtain some bilateral generating functions involving the Chan-Chyan-Sriavastava polynomials and three general classes of multivariable polynomials introduced earlier by Srivastava in [A contour integral involving Fox's H-function, Indian J. Math. 14 (1972), 1-6], [A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials, Pacific J. Math. 117 (1985), 183-191] and by Kaano$\breve{g}$lu and $\ddot{O}$zarslan in [Two-sided generating functions for certain class of r-variable polynomials, Mathematical and Computer Modelling 54 (2011), 625-631]. Special cases involving the (Srivastava-Daoust) generalized Lauricella functions are also given.

Development of Creative Economy Innovation and Digital Entrepreneurial Ability for Distribution Strategy by using Design Thinking

  • Siwaporn NAKUDOM;Sor sirichai NAKUDOM;Panita WANNAPIROON
    • Journal of Distribution Science
    • /
    • v.21 no.4
    • /
    • pp.11-20
    • /
    • 2023
  • Purpose: 1) develop a learning model involving design thinking to develop creative economy innovation and the characteristics of digital entrepreneurs. 2) evaluate the impact of design thinking on creative economy innovation 3) evaluate the impact of design thinking on digital entrepreneurial ability. Research design, data and methodology: 1) develop a learning model involving design thinking in order to develop creative economy innovation and the characteristics of digital entrepreneurs. 2) Evaluating creative economy innovation involving design thinking. 3) Assessing the characteristics of digital entrepreneurs based on design concepts. Results: 1) the development of a learning model involving design thinking to develop creative economy innovation and digital entrepreneurial competency 2) The students who studied using the learning model involving a design thinking process had the highest overall scores in terms of creative economy innovation 3) The scores for the assessment of digital entrepreneurial activity for the students who studied by using the design thinking learning model were at a high level. Conclusions: The development of the design thinking learning model can encourage students to be able to develop creative economy innovations and to empower digital entrepreneurs' ability for distribution strategy. Educational institutions that would like to succeed in developing creative economy innovative and digital entrepreneurship characteristics with the support of design thinking.