• 제목/요약/키워드: R-functions

검색결과 1,763건 처리시간 0.022초

MEROMOR0PHIC UNIVALENT HARMONIC FUNCTIONS WITH NEGATIVE COEFFICIENTS

  • Jahangiri, Jay M.;Silverman, Herb
    • 대한수학회보
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    • 제36권4호
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    • pp.763-770
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    • 1999
  • The purpose of this paper is to give sufficient coefficient conditions for a class of univalent harmonic functions that map each $$\mid$z$\mid$$ = r >1 onto a curve that bounds a domain that is starlike with respect to origin. Furthermore, it is shown that these conditions are also necessary when the coefficients are negative. Extreme points for these classes are also determined. Finally, comparable results are given for the convex analgo.

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A NEW CONJUGATE GRADIENT MINIMIZATION METHOD BASED ON EXTENDED QUADRATIC FUNCTIONS

  • Moghrabi, Issam.A.R.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제8권2호
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    • pp.7-13
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    • 2004
  • A Conjugate Gradient (CG) algorithm for unconstrained minimization is proposed which is invariant to a nonlinear scaling of a strictly convex quadratic function and which generates mutually conjugate directions for extended quadratic functions. It is derived for inexact line searches and is designed for the minimization of general nonlinear functions. It compares favorably in numerical tests with the original Dixon algorithm on which the new algorithm is based.

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A NON-MARKOVIAN EVOLUTION MODEL OF HIV POPULATION WITH BUNCHING BEHAVIOUR

  • Sridharan, V.;Jayshree, P.R.
    • Journal of applied mathematics & informatics
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    • 제5권3호
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    • pp.785-796
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    • 1998
  • In this paper we propose a model of HIv population through method of phases with non-Markovian evolution of immi-gration. The analysis leads to an explicit differnetial equations for the generating functions of the total population size. The detection process of antibodies (against the antigen of virus) is analysed and an explicit expression for the correlation functions are provided. A measure of bunching is also introduced for some particular choice of parameters.

REPRESENTATION OF THE GENERALIZED FUNCTIONS OF GELFAND AND SHILOV

  • Jae Young Chung;Sung Jin Lee
    • 대한수학회논문집
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    • 제9권3호
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    • pp.607-616
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    • 1994
  • I. M. Gelfand and G. E. Shilov [GS] introduced the Gelfand-Shilov spaces of type S, generalized type S and type W of test functions to investigate the uniqueness of the solutions of the Cauchy problems of partial differential equations. Using the heat kernel method Matsuzawa gave structure theorems for distributions, hyperfunctions and generalized functions in the dual space $(S^s_r)'$ of the Gelfand-Shilov space of type S in [M1, M2 and DM], respectively. Also, we gave structure theorems for ultradistributions, Fourier hyperfunctions in [CK, KCK], respectively.

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Differential Sandwich Theorem for Multivalent Meromorphic Functions associated with the Liu-Srivastava Operator

  • Ali, Rosihan M.;Chandrashekar, R.;Lee, See-Keong;Swaminathan, A.;Ravichandran, V.
    • Kyungpook Mathematical Journal
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    • 제51권2호
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    • pp.217-232
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    • 2011
  • Differential subordination and superordination results are obtained for multivalent meromorphic functions associated with the Liu-Srivastava linear operator in the punctured unit disk. These results are derived by investigating appropriate classes of admissible functions. Sandwich-type results are also obtained.

PRIME IDEALS IN LIPSCHITZ ALGEBRAS OF FINITE DIFFERENTIABLE FUNCTIONS

  • EBADIAN, ALI
    • 호남수학학술지
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    • 제22권1호
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    • pp.21-30
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    • 2000
  • Lipschitz Algebras Lip(X, ${\alpha}$) and lip(X, ${\alpha}$) were first studied by D. R. Sherbert in 1964. B. Pavlovic in 1995 shown that in these algebras, the prime ideals containing a given prime ideal form a chain. In this paper, we show that the above property holds in $Lip^n(X,\;{\alpha})$ and $lip^n(X,\;{\alpha})$, the Lipschitz algebras of finite differentiable functions on a perfect compact place set X.

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The Maximal Ideal Space of Extended Differentiable Lipschitz Algebras

  • Abolfathi, Mohammad Ali;Ebadian, Ali
    • Kyungpook Mathematical Journal
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    • 제60권1호
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    • pp.117-125
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    • 2020
  • In this paper, we first introduce new classes of Lipschitz algebras of infinitely differentiable functions which are extensions of the standard Lipschitz algebras of infinitely differentiable functions. Then we determine the maximal ideal space of these extended algebras. Finally, we show that if X and K are uniformly regular subsets in the complex plane, then R(X, K) is natural.

중학교 교과과정에 따른 보건교육 내용 분석 연구 (A study on health education content analysis in middle school curriculum)

  • 유재복
    • 한국학교보건학회지
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    • 제3권1호
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    • pp.59-72
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    • 1990
  • The study reserches the related contents of the health education in the existing gymnastics and the domestics textbook, catches learning-Ulaching contents by the health-control function and compares the contents with the health-education curriculum of the Texas State in America. This study is questioned and reserched the general features of the teachers who is change in the health education, their attitudes about the teaching of it, and the recognition degree about their health education. The results above is like the following. 1. Learning-teaching contents by the health-control function. The domestics and gymnastics which contains the health education contents, is not discripted continually and at the same time is short of the contents in the health-control function according to the students' individual domains. Also the recent serious problems, (that is, Smoking, Drinking and Medical poisoning, Emotion, and Psychic domains) were no mentioned. 1) In gymnastics textbook, the physical domains are mentioned 8, 9 in juinor, and senior class, the affective, psychic domains only senior class and the social domains only 1 grade except junior and senior class. Growth-development function is concentratedly stated only 1 grade in physical domains and there is no stated in. The social domains are referred a little in senior class. In cure-recovery functions, the physical domains is being taught in 2, and 3 grade, but not 1 grade. Specially, the social domains are being taught in all grade, but, the affective domains are not at all 2) In the subject of domestics, the physical domains of the daily life functions are taught in all the years, but the emotional, mental domains are taught a little in 1 and 2 grades. The growth-development functions are being taught about the nutrition-health, in the physical parts of all graries, and the emotional-mental, social domains are being taught some in 7 and 8 grade except 3 grade, he cure-recovery functions ere taught in only 1 grade, the contents of rehabilitative functions are not being taught like gymnastics. 2. The general characteristics of the health-education teachers and the health-education. In the calss field, the average age of gymnastics-teachers is from 35 to 40 years old, and it of domestics teachers is from 24 to 29 years old. 1) In the class-hours a week, the gymnastics teachers take lessons 3 hours (75.6%) and the domestics teachers 4 hours (65.6%). In "the health-lessons hours alloted"in a semister, 3 or 4 hours is 38.7% and no hours is 18.0% in gymnastics teachers. On the other hand, there is no hours to teach the health-education in domestics teachers. About the opinion: the health subject must be taught as a independent subject, 42.9% of the gymnastics teachers agreed and 45.3 % of the domestics teachers did. 2) The factors which have an influence upon the health-teachers #. In age, the class lesson hours of a week(r= .0014), the confident manner about the lessons(r= .0485) and the necessity of the lessons (r= .0316) are closely related one another. #. In sexes, the lesson hours a class(r= .0000), the alloted hours of health lesson a semister(r= .0000) the confident manner about the class(r= .0001). the quantity of lesson(r= .0001): and, the teacher's belief(r= .0264) are co-related one another. #. In subject in change. the class hours a week(r= .0000), the alloted hours of health-lesson a semister(r= .0000) the quantity of the lesson(r= .0114) are co-related each other. #. In majority, the class lesson hours a week(r= .0000) the alloted hours of health lesson a semister(r= .0000) the quantity of the lesson are co-related each other. The quantity of lesson and the confidence about the lesson (r= .3223) and the quantity of lesson and the interest of lesson (r= .2450) are co-related each other.

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Functions of the Plant Qbc SNARE SNAP25 in Cytokinesis and Biotic and Abiotic Stress Responses

  • Won, Kang-Hee;Kim, Hyeran
    • Molecules and Cells
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    • 제43권4호
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    • pp.313-322
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    • 2020
  • Eukaryotes transport biomolecules between intracellular organelles and between cells and the environment via vesicle trafficking. Soluble N-ethylmaleimide-sensitive factor attachment protein receptors (SNARE proteins) play pivotal roles in vesicle and membrane trafficking. These proteins are categorized as Qa, Qb, Qc, and R SNAREs and form a complex that induces vesicle fusion for targeting of vesicle cargos. As the core components of the SNARE complex, the SNAP25 Qbc SNAREs perform various functions related to cellular homeostasis. The Arabidopsis thaliana SNAP25 homolog AtSNAP33 interacts with Qa and R SNAREs and plays a key role in cytokinesis and in triggering innate immune responses. However, other Arabidopsis SNAP25 homologs, such as AtSNAP29 and AtSNAP30, are not well studied; this includes their localization, interactions, structures, and functions. Here, we discuss three biological functions of plant SNAP25 orthologs in the context of AtSNAP33 and highlight recent findings on SNAP25 orthologs in various plants. We propose future directions for determining the roles of the less well-characterized AtSNAP29 and AtSNAP30 proteins.