• Title/Summary/Keyword: F-pure

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WALLMAN COVERS AND QUASI-F COVERS

  • Kim, Chang Il;Shin, Chang Hyeob
    • The Pure and Applied Mathematics
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    • v.20 no.2
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    • pp.103-108
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    • 2013
  • Observing that for any space X, there is a Wallman sublattice $\mathfrak{A}_X$ and that QFX is homeomorphic to a subspace $X_q$ of the Wallman cover $\mathfrak{L}(\mathfrak{A}_X)$ of $\mathfrak{A}_X$, we show that ${\beta}QFX$ and $\mathfrak{L}(\mathfrak{A}_X)$ are homeomorphic.

STRONG INSERTION OF A CONTRA-BAIRE-1 (BAIRE-.5) FUNCTION BETWEEN TWO COMPARABLE REAL-VALUED FUNCTIONS

  • Mirmiran, Majid;Naderi, Binesh
    • The Pure and Applied Mathematics
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    • v.26 no.1
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    • pp.1-12
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    • 2019
  • Necessary and sufficient conditions in terms of lower cut sets are given for the strong insertion of a Baire-.5 function between two comparable real-valued functions on the topological spaces that $F_{\sigma}-kernel$ of sets are $F_{\sigma}-sets$.

INTRODUCTION OF T -HARMONIC MAPS

  • Mehran Aminian
    • The Pure and Applied Mathematics
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    • v.30 no.2
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    • pp.109-129
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    • 2023
  • In this paper, we introduce a second order linear differential operator T□: C (M) → C (M) as a natural generalization of Cheng-Yau operator, [8], where T is a (1, 1)-tensor on Riemannian manifold (M, h), and then we show on compact Riemannian manifolds, divT = divTt, and if divT = 0, and f be a smooth function on M, the condition T□ f = 0 implies that f is constant. Hereafter, we introduce T-energy functionals and by deriving variations of these functionals, we define T-harmonic maps between Riemannian manifolds, which is a generalization of Lk-harmonic maps introduced in [3]. Also we have studied fT-harmonic maps for conformal immersions and as application of it, we consider fLk-harmonic hypersurfaces in space forms, and after that we classify complete fL1-harmonic surfaces, some fLk-harmonic isoparametric hypersurfaces, fLk-harmonic weakly convex hypersurfaces, and we show that there exists no compact fLk-harmonic hypersurface either in the Euclidean space or in the hyperbolic space or in the Euclidean hemisphere. As well, some properties and examples of these definitions are given.

Correlation of Convective Boiling Heat Transfer in a Horizontal Tube for Pure Refrigerants and Refrigerant Mixtures (순수 및 혼합냉매의 유동증발 열전달 상관식)

  • Shin, J.Y.;Kim, M.S.;Ro, S.T.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.8 no.2
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    • pp.254-266
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    • 1996
  • Boiling heat transfer coefficients of pure refrigerants(R22, R32, R125, R134a, R290, and R600a) and refrigerant mixtures(R32/R134a and R290/R600a) are measured experimentally and compared with several correlations. Convective boiling term of Chen's correlation predicts experimental data for pure refrigerants fairly well(root-mean-square error of 12.1% for the quality range over 0.2). An analysis of convective boiling heat transfer of refrigerant mixtures is performed for an annular flow to study degradation of heat transfer. Annular flow is the subject of this analysis because a great portion of the evaporator in refrigeration or air conditioning system is known to be in the annular flow regime. Mass transfer effect due to composition difference between liquid and vapor phases, which is considered as a driving force for mass transfer at interface, is included in this analysis. Correction factor $C_F$ is introduced to the correlation for the pure substances through annular flow analysis to apply the correlation to the mixtures. The flow boiling heat transfer coefficients are calculated using the correlation considering nucleate boilling effect in the low quality region and mass transfer effect for nonzazeotropic refrigerant mixtures.

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Improvement of Fatigue Properties in Ultrafine Grained Pure Ti after ECAP(Equal Channel Angular Pressing) (ECAP가공에 의한 초미세립 순수 티타늄의 피로 특성 향상)

  • Lee, Young-In;Park, Jin-Ho;Choi, Deok-Ho;Choi, Myung-Il;Kim, Ho-Kyung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.11 s.242
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    • pp.1494-1502
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    • 2005
  • Fatigue life and notch sensitivity of the ultrafine grained pure Ti produced by ECAP was investigated. The ECAPed sample with the true strain of 460$\%$ showed near equiaxed grains with an average size of about 0.3 $\mu$m. After ECAP, the ultimate tensile strength was increased by 60$\%$, while the tensile ductility was decreased by 31$\%$. The ECAPed ultrafine grained pure Ti samples showed high notch sensitivity and significant improvement of high cycle fatigue limit by a factor of 1.67. The ECAPed samples also show high notch sensitivity (K$_{f}$/K$_{t}$ = 0.96). It can be concluded that ECAP is the effective process for achieving high fatigue strength in Ti by increasing its tensile strength through grain refinement

A Study on the Health Promoting Behaviors Depending on the Response Patterns of HLOC in Korean Adults (한국 성인의 건강통제위 반응유형별 건강증진행위)

  • Gu, Mee-Ock;Eun, Young
    • Journal of Korean Academy of Nursing
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    • v.28 no.3
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    • pp.739-750
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    • 1998
  • The purpose of this study was to identify the response patterns of Health Locus of Control (HLOC) and to analysis of the health promoting behaviors depending on the response patterns of HLOC in Korean adults. The sample was composed of 300 healthy adults ranged from twenties to seventies. In data analysis, SPSS PC/sup +/ program was utilized for descriptive statistics, pearson correlation, ANOVA and cluster analysis. The results of the study were as follows : 1. The average scores of HLOC in Korean were HLOC-I : 24.12(range 6-30), HLOC-P : .21.72, HLOC-C : 17.46. 2. The total mean score of the health promoting behavior scale was 2.50 (range 1-4), and the mean scores on the subscales were ; self actualization 2.60, health responsibility 2.14, exercise 2.28, nutrition 3.16, interpersonal support 2.74, stress management 2.15. 3. The HLOC-I and health promoting behavior were correlated positively(r =0.184, p=0.001), and the HLO-C and the health promoting behavior were correlated negatively(r=-0.102, p=0.039). The HLOC-P and the health promoting behavior weren't correlated in the level of statistical significance. 4. The response patterns of HLOC in Korean adults were identified 6 types, such as pure internal, pure chance, believers in control, yea sayer, nay sayer, and complex control. The type of believers in control and the type of yea sayer were subdivided in two different types. The believers in control was the largest group(33.67%), and yea sayer was the next large group(26.33%). The pure chance and the complex control type was the smallest groups. 5. There was a significant difference in health promoting behavior depending on the response patterns of HLOC(F=2.67, p=0.010). There were also significant differences in 4 subscales of health promoting behavior : self actualization(F=3.12, P=0.003), health responsibility(F=2.15, P=0.038), nutrition(F=5.08, p=0.000), and interpersonal support(F=2.26,p=0.029). These results suggest that the response patterns of HLOC is the important factor to predict the level of health promoting behavior in Korean adults.

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QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN NON-ARCHIMEDEAN NORMED SPACES

  • Cui, Yinhua;Hyun, Yuntak;Yun, Sungsik
    • The Pure and Applied Mathematics
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    • v.24 no.2
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    • pp.109-127
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    • 2017
  • In this paper, we solve the following quadratic ${\rho}-functional$ inequalities ${\parallel}f({\frac{x+y+z}{2}})+f({\frac{x-y-z}{2}})+f({\frac{y-x-z}{2}})+f({\frac{z-x-y}{2}})-f(x)-f(y)f(z){\parallel}$ (0.1) ${\leq}{\parallel}{\rho}(f(x+y+z)+f(x-y-z)+f(y-x-z)+f(z-x-y)-4f(x)-4f(y)-4f(z)){\parallel}$, where ${\rho}$ is a fixed non-Archimedean number with ${\mid}{\rho}{\mid}$ < ${\frac{1}{{\mid}4{\mid}}}$, and ${\parallel}f(x+y+z)+f(x-y-z)+f(y-x-z)+f(z-x-y)-4f(x)-4f(y)-4f(z){\parallel}$ (0.2) ${\leq}{\parallel}{\rho}(f({\frac{x+y+z}{2}})+f({\frac{x-y-z}{2}})+f({\frac{y-x-z}{2}})+f({\frac{z-x-y}{2}})-f(x)-f(y)f(z)){\parallel}$, where ${\rho}$ is a fixed non-Archimedean number with ${\mid}{\rho}{\mid}$ < ${\mid}8{\mid}$. Using the direct method, we prove the Hyers-Ulam stability of the quadratic ${\rho}-functional$ inequalities (0.1) and (0.2) in non-Archimedean Banach spaces and prove the Hyers-Ulam stability of quadratic ${\rho}-functional$ equations associated with the quadratic ${\rho}-functional$ inequalities (0.1) and (0.2) in non-Archimedean Banach spaces.

Effects of Fluoride Additions on Sintering and Microwave Dielectric Properties of $ZnWO_4$ (Fluoride 첨가가 $ZnWO_4$ 소결 및 고주파 유전특성에 미치는 영향)

  • Lee, Kyoung-Ho;Kim, Yong-Chul;Kim, Hong-Rae
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2002.07b
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    • pp.541-544
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    • 2002
  • In this study, a new LTCC material using $ZnWO_4$-LiF system was attempted with respect to use as a capacitor layer in Front-End Module. Pure $ZnWO_4$ must be sintered above $1050^{\circ}C$ in order to obtain up to 98% of full density. It's measured dielectric constant, quality factor, and temperature coefficient of resonant frequency were 15.5, 74380GHz, and $-70ppm/^{\circ}C$, respectively. LiF addition resulted in an liquid phase formation at $810^{\circ}C$ due to interaction between $ZnWO_4$ and LiF. Therefore $ZnWO_4$ with 0.5~1.5wt% LiF could be densified at $850^{\circ}C$. Addition of LiF slightly lowered the dielectric constant from 15.5 to 14.2~15. In the given LiF addition range, the sintering shrinkage increased with increasing LiF content. $Q{\times}fo$ value, however, decreased with increasing LiF content(or increasing densification). This is originated from the interaction between the liquid phase and $ZnWO_4$ and inhomogeneity of grain morphology.

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ON FUNCTIONALLY CONVEX SETS AND FUNCTIONALLY CLOSED SETS IN REAL BANACH SPACES

  • Moazzen, Alireza;Gordji, Madjid Eshaghi;Raeisi, Hamidreza
    • The Pure and Applied Mathematics
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    • v.25 no.1
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    • pp.49-57
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    • 2018
  • We have introduced two new notions of convexity and closedness in functional analysis. Let X be a real normed space, then $C({\subseteq}X)$ is functionally convex (briefly, F-convex), if $T(C){\subseteq}{\mathbb{R}}$ is convex for all bounded linear transformations $T{\in}B$(X, R); and $K({\subseteq}X)$ is functionally closed (briefly, F-closed), if $T(K){\subseteq}{\mathbb{R}}$ is closed for all bounded linear transformations $T{\in}B$(X, R). By using these new notions, the Alaoglu-Bourbaki-Eberlein-${\check{S}}muljan$ theorem has been generalized. Moreover, we show that X is reflexive if and only if the closed unit ball of X is F-closed. James showed that for every closed convex subset C of a Banach space X, C is weakly compact if and only if every $f{\in}X^{\ast}$ attains its supremum over C at some point of C. Now, we show that if A is an F-convex subset of a Banach space X, then A is bounded and F-closed if and only if every element of $X^{\ast}$ attains its supremum over A at some point of A.