• Title/Summary/Keyword: S-function

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SOME EXAMPLES OF THE UNION OF TWO LINEAR STAR-CONFIGURATIONS IN ℙ2 HAVING GENERIC HILBERT FUNCTION

  • Shin, Yong Su
    • Journal of the Chungcheong Mathematical Society
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    • v.26 no.2
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    • pp.403-409
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    • 2013
  • In [20] and [22], the author proved that the union of two linear star-configurations in $\mathbb{P}^2$ of type $t{\times}s$ with $3{\leq}t{\leq}10$ and $t{\leq}s$ has generic Hilbert function. In this paper, we prove that the union of two linear star-configurations in $\mathbb{P}^2$ of type $t{\times}s$ with $3{\leq}t$ and $({a\atop2})-1{\leq}s$ has also generic Hilbert function.

A Study on the Family Functioning in the Family with the Cancer Patient (암환자가족의 가족기능에 대한 조사연구)

  • Han, Suk-Jung
    • Asian Oncology Nursing
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    • v.3 no.2
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    • pp.155-163
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    • 2003
  • This study was designed to assess the level of family function between cancer patient's families and normal families, and to seek better quality family-Mcentered nursing care. The subjects for this study were 95 ca patient's families who were selected from th university hospitals and 95 normal families who selected from 1 university hospital. The instrument used for this study was McMaster Family Assessment Device (FAD) developed by Epstein, Baldwin and Bishop (1983). The scale consisted of 53 items covering 7 areas: 'problem solving', 'communication', 'roles', 'affective responsiveness', 'affective involvement', 'behavior control', and 'general functioning'. As for data analyses, descriptive statistics, ${\chi}^2-test$, t-test, ANOVA were adopted using SAS program. The result of this study was as follows: There there was no significant difference between cancer patient's family function and normal family function. Also there was no significant difference on cancer patient's family function with regard to family characteristics, disease's characteristics, and clinical stage of cancer.

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Requiremental Function Method based Owner's Requirement in VE Process Application at Planning Stage (기획단계 발주자 요구사항 기반 Requiremental Function Method VE 적용)

  • Park, In-Ji;Son, Myung-Jin;Hyun, Chang-Taek
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2012.05a
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    • pp.123-125
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    • 2012
  • It is the important accurately to identify the needs of our customers in order to success the project. Requirements in the early stages of business is very abstract or not quantitative, and that will cause problems such as cost or schedule changes. Particularly many people are likely to prefer the early stages of the project, because the time of applying VE related cost savings is important. Owner's requirement analysis for project success in the VE process does not easy, and specific ongoing management of the requirement is difficult. Therefore, the analysis and the application of owner's requirements is limited in project process. The purpose of this study is proposed to the RFM technique to supplement the functional analysis on the basis owner's requirements analysis in planning a building project.

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Shannon의 함수

  • Yi, Beom-Jun
    • 한국해양학회지
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    • v.14 no.1
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    • pp.32-38
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    • 1979
  • The original concept and theory of Shannon's function H=-$\Sigma$(i-1,n)Pi, log$\_$2/Pi and its applicable domains in ecology are discussed. The confusions exist in use and interpretation of this function are due to: 1. Mixing the idea of proper ecological diversity with that of Shannon's information theory. 2. Confusion of physical or thermodynamical systems with ecological systems. 3. Confusion of the system from which one had calculated function H with the system of which function H is interpreted. It's proposed to use function H for the comparison of community's structure and so, for the distinction of community's evolution (succession) steps.

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A Study of Marichev-Saigo-Maeda Fractional Integral Operators Associated with the S-Generalized Gauss Hypergeometric Function

  • Bansal, Manish Kumar;Kumar, Devendra;Jain, Rashmi
    • Kyungpook Mathematical Journal
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    • v.59 no.3
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    • pp.433-443
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    • 2019
  • In this work, we evaluate the Mellin transform of the Marichev-Saigo-Maeda fractional integral operator with Appell's function $F_3$ type kernel. We then discuss six special cases of the result involving the Saigo fractional integral operator, the $Erd{\acute{e}}lyi$-Kober fractional integral operator, the Riemann-Liouville fractional integral operator and the Weyl fractional integral operator. We obtain new and known results as special cases of our main results. Finally, we obtain the images of S-generalized Gauss hypergeometric function under the operators of our study.

Synthesizing a Boolean Function of an S-box with Integer Linear Programming (수리계획법을 이용한 S-box의 부울함수 합성)

  • 송정환;구본욱
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.14 no.4
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    • pp.49-59
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    • 2004
  • Boolean function synthesize problem is to find a boolean expression with in/outputs of original function. This problem can be modeled into a 0-1 integer programming. In this paper, we find a boolean expressions of S-boxes of DES for an example, whose algebraic structure has been unknown for many years. The results of this paper can be used for efficient hardware implementation of a function and cryptanalysis using algebraic structure of a block cipher.

Development of a Postural Evaluation Function for Effective Use of an Ergonomic Human Model (인체모형의 효과적 활용을 위한 자세 함수의 개발)

  • Park, Sungjoon;Kim, Ho
    • Journal of Korean Institute of Industrial Engineers
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    • v.28 no.2
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    • pp.216-222
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    • 2002
  • The ergonomic human model can be considered as a tool for the evaluation of ergonomic factors in vehicle design process. The proper anthropometric data on driver's postures are needed in order to apply a human model to vehicle design. Although studies on driver's posture have been carried out for the last few decades, there are still some problems for the posture data to be applied directly to the human model due to the lack of fitness because such studies were not carried out under the conditions for the human model application. In the traditional researches, the joint angles were evaluated by the categorized data, which are not appropriate for the human model application because it is so extensive that it can not explain the posture evaluation data in detail. And the human models require whole-body posture evaluation data rather than joint evaluation data. In this study a postural evaluation function was developed not by category data but by the concept of the loss function in quality engineering. The loss was defined as the discomfort in driver's posture and measured by the magnitude estimation technique in the experiment using a seating buck. Four loss functions for the each joint - knee, hip, shoulder, and elbow were developed and a whole-body postural evaluation function was constructed by the regression analysis using these loss functions as independent factors. The developed postural evaluation function shows a good prediction power for the driver's posture discomfort in validation test. It is expected that the driver's postural evaluation function based on the loss function can be used in the human model application to the vehicle design process.

s-CONVEX FUNCTIONS IN THE THIRD SENSE

  • Kemali, Serap;Sezer, Sevda;Tinaztepe, Gultekin;Adilov, Gabil
    • Korean Journal of Mathematics
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    • v.29 no.3
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    • pp.593-602
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    • 2021
  • In this paper, the concept of s-convex function in the third sense is given. Then fundamental characterizations and some basic algebraic properties of s-convex function in the third sense are presented. Also, the relations between the third sense s-convex functions according to the different values of s are examined.

AN EXTENSION OF JENSEN-MERCER INEQUALITY WITH APPLICATIONS TO ENTROPY

  • Yamin, Sayyari
    • Honam Mathematical Journal
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    • v.44 no.4
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    • pp.513-520
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    • 2022
  • The Jensen and Mercer inequalities are very important inequalities in information theory. The article provides the generalization of Mercer's inequality for convex functions on the line segments. This result contains Mercer's inequality as a particular case. Also, we investigate bounds for Shannon's entropy and give some new applications in zeta function and analysis.

Some properties of the Green's function of simplified elastodynamic problems

  • Sanchez-Sesma, Francisco J.;Rodriguez-Castellanos, Alejandro;Perez-Gavilan, Juan J.;Marengo-Mogollon, Humberto;Perez-Rocha, Luis E.;Luzon, Francisco
    • Earthquakes and Structures
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    • v.3 no.3_4
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    • pp.507-518
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    • 2012
  • It is now widely accepted that the resulting displacement field within elastic, inhomogeneous, anisotropic solids subjected to equipartitioned, uniform illumination from uncorrelated sources, has intensities that follow diffusion-like equations. Typically, coda waves are invoked to illustrate this concept. These waves arrive later as a consequence of multiple scattering and appear at "the tail" (coda, in Latin) of seismograms and are usually considered an example of diffuse field. It has been demonstrated that the average correlations of motions within a diffuse field, in frequency domain, is proportional to the imaginary part of Green's function tensor. If only one station is available, the average autocorrelation is equal to the average squared amplitudes or the average power spectrum and this gives the Green's function at the source itself. Several works address this point from theoretical and experimental point of view. However, a complete and explicit analytical description is lacking. In this work we study analytically some properties of the Green's function, specifically the imaginary part of Green's function for 2D antiplane problems. This choice is guided by the fact that these scalar problems have a closed analytical solution (Kausel 2006). We assume the diffusiveness of the field and explore its analytical consequences.