• Title/Summary/Keyword: continuous family

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CONTINUOUS WELCH BOUNDS WITH APPLICATIONS

  • Krishnanagara Mahesh Krishna
    • Communications of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.787-805
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    • 2023
  • Let (Ω, µ) be a measure space and {τα}α∈Ω be a normalized continuous Bessel family for a finite dimensional Hilbert space 𝓗 of dimension d. If the diagonal ∆ := {(α, α) : α ∈ Ω} is measurable in the measure space Ω × Ω, then we show that $$\sup\limits_{{\alpha},{\beta}{\in}{\Omega},{\alpha}{\neq}{\beta}}\,{\mid}{\langle}{\tau}_{\alpha},\,{\tau}_{\beta}{\rangle}{\mid}^{2m}\,{\geq}\,{\frac{1}{({\mu}{\times}{\mu})(({\Omega}{\times}{\Omega}{\backslash}{\Delta})}\;\[\frac{{\mu}({\Omega})^2}{\({d+m-1 \atop m}\)}-({\mu}{\times}{\mu})({\Delta})\],\;{\forall}m{\in}{\mathbb{N}}.$$ This improves 48 years old celebrated result of Welch [41]. We introduce the notions of continuous cross correlation and frame potential of Bessel family and give applications of continuous Welch bounds to these concepts. We also introduce the notion of continuous Grassmannian frames.

A NEW FAMILY OF NEGATIVE QUADRANT DEPENDENT BIVARIATE DISTRIBUTIONS WITH CONTINUOUS MARGINALS

  • Han, Kwang-Hee
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.4
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    • pp.795-805
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    • 2011
  • In this paper, we study a family of continuous bivariate distributions that possesses the negative quadrant dependence property and the generalized negatively quadrant dependent F-G-M copula. We also develop the partial ordering of this new parametric family of negative quadrant dependent distributions.

CHARACTERIZATION OF CONTINUOUS DISTRIBUTIONS THROUGH RECORD STATISTICS

  • Khan, Abdul Hamid;Faizan, Mohd.;Haque, Ziaul
    • Communications of the Korean Mathematical Society
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    • v.25 no.3
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    • pp.485-489
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    • 2010
  • A family of continuous probability distribution has been characterized through the difference of two conditional expectations, conditioned on a non-adjacent record statistic. Also, a result based on the unconditional expectation and a conditional expectation is used to characterize a family of distributions. Further, some of its deductions are also discussed.

An exploratory study on factors related to types of never-married among adult men and women (성인 비혼 남녀의 비혼 유형 관련 요인 탐색 연구)

  • Kim, Ji-Yu;Cho, Hee-Sun
    • Journal of Family Relations
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    • v.23 no.3
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    • pp.201-228
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    • 2018
  • Objectives: The objectives of this study were to classify never-married types of adult men and women and explore factors related to these types. Never-married types were categorized into 4 types according to continuity and voluntariness: continuous voluntary type; changed voluntary type; continuous non-voluntary type; and changed non-voluntary type. Factors related to types of being single were examined in terms of socio-demographic factors, individual and psychological factors (self-esteem, depression), dating relationship factors (current relationship status), original family factors (parental conflict, relationship with parents, parents' demand for marriage), marriage related factors (division of roles after marriage), and occupation related factors (work values, employment instability). Method: As for research method, a survey was conducted with never-married adult men and women between the ages of 35 and 49 living in Seoul, Gyeonggi or Incheon areas. Of 300 copies of questionnaire distributed, data from 295 copies were processed using SPSS 24.0 program for multinomial logit analysis. Results: The study results showed that, of never-married men respondents, continuous voluntary type accounted for 20.5%; changed voluntary type 18.9%; continuous non-voluntary type 49.6%; and changed non-voluntary type 11.0%. It was found that the factors related to continuous non-voluntary type among never-married men are age, religion, average monthly income, while the factors related to changed voluntary type are religion, self-esteem, depression, and frequency and strength of parental conflict, while the factor related to changed non-voluntary type men was living with parents. Examining never-married women respondents, it was found that, continuous voluntary type accounted for 33.9%; changed non-voluntary type 19.6%; continuous non-voluntary type 22.6%; and changed voluntary type 23.8%. The factor related to continuous non-voluntary type among never-married women was parents' demand for marriage, while the factors related changed voluntary type were age, depression and strength of parental conflict. Also, the factors related to changed non-voluntary type of never-married women were age, religion, living with parents, depression and parents' demand for marriage. Conclusion: In conclusion, it was found that continuous non-voluntary type formed the largest group among never-married men, whereas continuous voluntary type was the majority in never-married women. Both never-married men and women chose to remain single when they are living with their parents and their parental conflict is intense. Parents' demand for marriage was related to women, but not to men.

A Study of Efficient Operation Plan through Family Restaurant Websites Evaluation (패밀리 레스토랑 웹사이트 평가를 통한 효율적인 운영방안에 관한 연구)

  • 김장익;김진영
    • Culinary science and hospitality research
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    • v.9 no.2
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    • pp.64-84
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    • 2003
  • There is this research that supply better experience and satisfaction of most suitable in users standpoint to users through family restaurant website importance and assessment of satisfaction. Also, there is purpose of this research to supply pendulum in family restaurant internet marketing strategy establishment that website can achieve continuous role as marketing means to be not public information that drive revisit and substantial restaurant visit. Family restaurant website estimation received satisfaction assessment which do not get in importance (expected value) in general as analysis result. In other words, domestic family restaurants website are doing construction. operation by marketing means but real users are various interaction part that can collect and achieve about customer opinion except design part that can do to emboss company's image could see side that satisfaction is unenchanted and presented improvement way in website construction. operation on contents part of various and correct information offer and so on that customer infancy strategy part and user of event and coupon event etc. that is distinction robbers need. Also, realization possibility for restaurant prescription that latent customers who use net can raise family restaurant website revisit and substantial sale could see side. Ditto improvement way in that family restaurants construct and operate website conclusively as a marketing tool that public information is not that three offers satisfaction of most suitable to latent customers who use existent net to website as can achieve continuous role contribute.

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VISCOSITY METHODS OF APPROXIMATION FOR A COMMON SOLUTION OF A FINITE FAMILY OF ACCRETIVE OPERATORS

  • Chen, Jun-Min;Zhang, Li-Juan;Fan, Tie-Gang
    • East Asian mathematical journal
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    • v.27 no.1
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    • pp.11-21
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    • 2011
  • In this paper, we try to extend the viscosity approximation technique to find a particular common zero of a finite family of accretive mappings in a Banach space which is strictly convex reflexive and has a weakly sequentially continuous duality mapping. The explicit viscosity approximation scheme is proposed and its strong convergence to a solution of a variational inequality is proved.

A NEW METHOD FOR A FINITE FAMILY OF PSEUDOCONTRACTIONS AND EQUILIBRIUM PROBLEMS

  • Anh, P.N.;Son, D.X.
    • Journal of applied mathematics & informatics
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    • v.29 no.5_6
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    • pp.1179-1191
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    • 2011
  • In this paper, we introduce a new iterative scheme for finding a common element of the set of fixed points of a finite family of strict pseudocontractions and the solution set of pseudomonotone and Lipschitz-type continuous equilibrium problems. The scheme is based on the idea of extragradient methods and fixed point iteration methods. We show that the iterative sequences generated by this algorithm converge strongly to the common element in a real Hilbert space.

An Analysis of Burnout Factors and Coping Methods on Continuous Peritoneal Dialysis Patients (복막투석환자의 소진요인과 대응양상에 관한 분석)

  • Jeong, Yeong-Sun;Choe, Gwi-Sun
    • The Korean Nurse
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    • v.34 no.2
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    • pp.66-76
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    • 1995
  • This study was done to identify burnout factors and coping methods surveyed upon 59 out-patients who have continuous peritoneal dialysis. Raw data was collected after being filled the questionnaire by subjects or directly interviewing at the peritoneal dialysis room of the K hospital. Taegu. Then. data was classified and analyzed according to categories of questions and revealed facts. The following results are obtained: The average age of subjects is 43.8 years old and the average duration of continuous peritoneal dialysis is 16.9 months. The reasons of choosing continuous peritoneal dialysis are 61. 0% by recommendation of doctor and nurse ranked as the first, 32. 2% by patient own decision ranked as the second. The 57.6% of subjects were experienced complications related to continuous peritoneal dialysis. The major psychosocial burnout factors because of the dialysis are confinement, wasting time, change in responsibility and role as a member of family, worriment for infection, interference in job: and the major physiological burnout factors are fatigue and weakness. Among the main coping methods, the problem-oriented coping methods are "accept the given situation itself, "actively try to change the situation", "try to maintain some controls over the situation", and the affective-oriented coping method are "give up and accept as fate", "pray", "ask comfort or help from family and friends", "sleep", "cry". Conclusively, it can be said that effective nursing intervention is needed to prevent continuous peritoneal dialysis burnout.

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A Study on the Communication of the Functional Family (기능적인 가족의 커뮤니케이션에 관한 이론적 접근)

  • 조윤경
    • Journal of Families and Better Life
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    • v.2 no.1
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    • pp.131-150
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    • 1984
  • The purpose of this study is to explore the family as an interaction system, concentrating on the mutual influences between communication and family development; (1) how Communication patterns affect family relationships, and (2) how relationships among family members affect communication. In order to do this Galvin, Brommel used the following frame work; family is a system in which communication regulates cohesion and adaptability by a flow of message patterns through a defined network of evolving interdependent relationships. A family system consists of members, the relationships among them, the family attributes, the members attributes and an environment in which family functions. Within the framework of common cultural communication patterns, each family has the capacity to develop its own communication code based on the experiences of individual members and the collective family experience. Most of us develop our communication skills within the family context learning both the general cultural language and the specific familial communication code. Communication may be viewed as a symbolic, transactional process as the process of creating and sharing meanings. To say that communication is a process implies a continuous interaction of an indefinite large numbers of variables with a concomitant,. continuous change in the values taken by these variables. Finally the process implies change, Family functions include the primary functions of cohesion and adaptability, and supporting functions of family images, themes, boundaries, and biosocial issues. The primary functions reveal concepts integrated family interaction and supporting function, along with those of cohesion and adaptability, give shape to family life. the characteristics of developed relationships of richness, uniqueness efficiency, substitutability, pacing , openness spontaneity, and evaluation are reflected in the verbal and nonverbal behaviors with which family members negotiated a set of common meanings and develop thier own unique message system. The message system is the major element of communication process and influences both the form and the content of thier relationship and in create and share meanings. Family systems need to provide order and predictability for thier members, specifically focusing on communication rules and the networks by which messages are transmitted. Most rules emerge as a result of multiful interactions. There are basic rules and rules about rules, or metarules. Perceiving the rules of family system is very difficult because often family members don't think about the basic rules, much less the metarules. Breaking the rule may result in the creation of a new set because the system may recalibrate itself to accept more variety of behavior. Families develop communication networks to deal with the general issue. Family adaptability may be seen through the degree of flexibility in forming and reforming networks and networks become a vital part of the decision- making process and relate to the power dynamics operating within the family. Networks also play an integral part in maintaining the roles and rules operating with the family system. Thus networks and rules have mutual influence. The family -of -origin issues influence all aspects of family communication and account for many of the communication patterns, rules and networks and the role of the family -of-origin influences as a primary force for communication on behavior of newly forming systems. Each family system develops its own communication meanings. There is not one right way to communicate within a family but may be indefinitly large change of family life and communication behavior. Study on functional family communication helps to gain a better understanding of dynamics of family communication and ability of a new insight into the family.

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ON CHARACTERIZATIONS OF THE CONTINUOUS DISTRIBUTIONS BY INDEPENDENCE PROPERTY OF RECORD VALUES

  • JIN, HYUN-WOO;LEE, MIN-YOUNG
    • Journal of applied mathematics & informatics
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    • v.35 no.5_6
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    • pp.651-657
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    • 2017
  • A sequence {$X_n,\;n{\geq}1$} of independent and identically distributed random variables with absolutely continuous (with respect to Lebesque measure) cumulative distribution function F(x) is considered. We obtain two characterizations of a family of continuous probability distribution by independence property of record values.