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Some Theorems Connecting the Unified Fractional Integral Operators and the Laplace Transform

  • Soni, R. C.;Singh, Deepika
    • Kyungpook Mathematical Journal
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    • v.45 no.2
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    • pp.153-159
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    • 2005
  • In the present paper, we obtain two Theorems connecting the unified fractional integral operators and the Laplace transform. Due to the presence of a general class of polynomials, the multivariable H-function and general functions ${\theta}$ and ${\phi}$ in the kernels of our operators, a large number of (new and known) interesting results involving simpler polynomials (which are special cases of a general class of polynomials) and special functions involving one or more variables (which are particular cases of the multivariable H-function) obtained by several authors and hitherto lying scattered in the literature follow as special cases of our findings. Thus the Theorems obtained by Srivastava et al. [9] follow as simple special cases of our findings.

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The Inverse Laplace Transform of a Wide Class of Special Functions

  • Soni, Ramesh Chandra;Singh, Deepika
    • Kyungpook Mathematical Journal
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    • v.46 no.1
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    • pp.49-56
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    • 2006
  • The aim of the present work is to obtain the inverse Laplace transform of the product of the factors of the type $s^{-\rho}\prod\limit_{i=1}^{\tau}(s^{li}+{\alpha}_i)^{-{\sigma}i}$, a general class of polynomials an the multivariable H-function. The polynomials and the functions involved in our main formula as well as their arguments are quite general in nature. On account of the general nature of our main findings, the inverse Laplace transform of the product of a large variety of polynomials and numerous simple special functions involving one or more variables can be obtained as simple special cases of our main result. We give here exact references to the results of seven research papers that follow as simple special cases of our main result.

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Partial Diallel Crosses Designs using m-Associate Class Partially Balanced Incomplete Block Designs

  • Choi Kuey Chung;Son Young Nam
    • Proceedings of the Korean Statistical Society Conference
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    • 2001.11a
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    • pp.121-124
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    • 2001
  • In this paper, partial diallel crosses designs are proposed. These designs for estimating general combining abilities are constructed by using m-associate class partially balanced incomplete block designs. Also, the efficiency of the partially diallel crosses designs obtained through this method is reported in table.

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CURVATURE ESTIMATES FOR A CLASS OF FULLY NONLINEAR ELLIPTIC EQUATIONS WITH GENERAL RIGHT HAND SIDES

  • Jundong Zhou
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.2
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    • pp.355-379
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    • 2024
  • In this paper, we establish the curvature estimates for a class of curvature equations with general right hand sides depending on the gradient. We show an existence result by using the continuity method based on a priori estimates. We also derive interior curvature bounds for solutions of a class of curvature equations subject to affine Dirichlet data.

A Consistent Test for Linearity for a Class of General First order Nonlinear Time Series

  • Hwang, Sun Y.
    • Journal of the Korean Statistical Society
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    • v.27 no.4
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    • pp.451-458
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    • 1998
  • Problem of testing linearity among general class of first order nonlinear time series models is discussed. The null hypotheses of linearity is identified via conditional expectations. A consistent test is then suggested and relevant limiting results are derived. It is worth indicating that any specific alternatives are not specified.

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Comparative Analysis of Verbal Interaction between Teachers and Students for the Gifted and the General Science Class in Middle School (중학교 일반학급과 영재학급의 과학수업에서 교사와 학생사이의 언어적 상호작용 비교 분석)

  • Lee, Ji-Hyang;Kim, Dong-Jin;Hwang, Hyun-Sook;Park, Se-Yeol;Baek, In-Hwan;Park, Kuk-Tae
    • Journal of Gifted/Talented Education
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    • v.20 no.3
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    • pp.721-741
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    • 2010
  • This study was to analyze verbal interactions between teachers and students after observations on teachers' questioning and feedback, students' response types and frequency analysis at middle-school class of average and gifted students. As for the verbal interaction between teachers and students of science class of general students, it was dominant for teachers to utilize questions for summarizing or guiding for textbook contents as they are. They were focused on immediate feedback in a restatement form. The students used simple responses like yes/no in general. The most high frequency of verbal interaction models expressed were in the order of cognitive-memory thinking question-short answer-immediate feedback. On the other hand, teachers of gifted students' science class threw divergent and evaluative thinking questions of open question, such as 'what's the reason?' or 'why is it?' Immediate feedback in explanatory form was mainly provided as well. The level of feedback delay was higher than general class and that of immediate feedback was lower than general class. The students preferred short words or a not-complicated sentence when they replied and their participation was more attentive and positive. Hence, The high frequency of verbal interaction models expressed were in order of cognitive-memory thinking questions-elaborative short answer-delayed feedback.

A Study on Remake of Dental Prosthesis According to Dental Laboratory Characteristics (Focusing on Daegu and Gyeong-buk of Dental lab) (치과기공소의 특성에 따른 치과보철물의 재제작에 관한 연구 - 대구.경북 치과기공소 중심으로 -)

  • Kim, Jeong-Sook;Lee, Hee-Sung
    • Journal of Technologic Dentistry
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    • v.33 no.3
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    • pp.227-236
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    • 2011
  • Purpose: The purpose of this study was to reduce the remake rate of dental prosthesis. We examined remake cause and major factor of dental prosthesis to determine methods for raising dental prosthesis satisfaction. Methods: Subjects included dental technicians in the metropolitan areas of the cities of Daegu and Gyeong-buk. Surveys were filled out by consenting dental technicians. Statistical analysis was done using SPSS version 19.0 for Windows. We determined frequencies and percentage, calculating means, and standard deviations, and determining statistical significance using t-tests, analysis of variance. Results: Impression or material transform is high among remake cause and margin is high among remake major factor. Crown class showed differences in General characteristics associated with age, number of employees, and number of connection dental. Porcelain class showed differences in General characteristics associated with age, number of employees, and number of connection dental. Denture class showed differences in General characteristics associated with age, monthly salaray, and career. Implant class showed differences in General characteristics associated with age, education, and career. Conclusion: In order to reduce remake rate of dental prosthesis, communication of dentist, dental technician, and the patient are require and correct information of patient and dental prosthesis are need.

A Comparison of Self-Regulation and Sociality between Elementary Scientific Gifted Students and General Students (초등과학영재 학생과 일반학생의 자기조절능력과 사회성의 비교)

  • Lee, Yeo Jin;Choi, Sun Young
    • Journal of Korean Elementary Science Education
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    • v.35 no.4
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    • pp.406-415
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    • 2016
  • The purpose of this study was to compare self-regulation and sociality between elementary scientific gifted students and general students. The subjective students are composed of fifth and sixth grade elementary school students. A survey on self-regulation and sociality had been conducted to 106 general students, 38 gifted class students and 43 students in science educational institute for the gifted. The results of this study were as follows: First, the results of ANOVA test showed that the scientific gifted students were significantly better than general students on all subscales of self-regulation and sociality. Second, the results of correlation analysis indicated that self-regulation and sociality and their subscales were all highly positive relationship on students in science educational institute for the gifted, gifted class students and general students. Third, the results of multiple regression analysis showed that the motivational factor of self-regulation gave the greatest effect to the sociality of students in science educational institute for the gifted, whereas, the cognitive factor of self-regulation gave the greatest effect to the sociality of the general students and gifted class students.