• The Korean Journal of Physiology
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• 제2권2호
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• pp.1-10
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• 1968

Maximal oxygen consumption measurements were performed on 15 middle school boys (age: mean 14.0, range: $13{\sim}16$ years) and 14 high school boys (age: mean 17.4, range: $16{\sim}19$ years). General body build was greater in the high school boys and absolute values of body height, body weight, skinfold thicknesses, maximal oxygen uptake, and maximal pulmonary ventilation followed the same trend. Considered on the basis of body build, however, the values of high school boys were not always greater than those of middle school boys. The following results were obtained. 1. Maximal oxygen consumption in middle school boys was 2.11 l/min., 53.7ml/kg b. weight, 13.9 ml/cm body height, and 63.7 ml/kg LBM. In high school boys the values were: 2.86 l/min., 52.7 ml/kg b.wt., 17.5 ml/cm b. height, and 57.9 ml/kg LBM. Thus, middle school boys were superior to high school boys on body weight and lean body mass basis. They were also superior to the European boys of the same age. 2. The ratio of maximal oxygen uptake to resting value was 9.7 in middle school boys, and 10.8 in high school boys. 3. Maximal pulmonary ventilation in middle school boys was 58.0 l/min., and 84.0 l/min. in high school boys. The ratio of maximal ventilation to resting value was the same as oxygen uptake, namely, 9.7 in middle school boys and 10.7 in high school boys. 4. Ventilation equivalent in middle school boys was 27.5 and 29.3 in high school boys. These values represent values of untrained male subjects. 5. Maximal heart rate in high school boys reached to 193 beat/min. and is 2.9 times that of resting heart rate. 6. Maximal oxygen pulse in high school boys was 16.6 ml/beat and was same as that of untrained subject. 7. Correlation between body weight and maximal oxygen consumption in middle school boys was r=0.570, and r=0.162 in high school boys. Correlation between lean body mass in middle school boys was r=0.499, and r=0.158 in high school boys. Interrelation between body weight and maximal pulmonary ventilation was poor. 8. The differences between trained and untrained subjects were discussed.

• Journal of applied mathematics & informatics
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• 제17권1_2_3호
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• pp.643-651
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• 2005

In the first part of this paper we investigate several statements concerning infinite maximal planar graphs which are equivalent in finite case. In the second one, for a given induced $\theta$-path (a finite induced path whose endvertices are adjacent to a vertex of infinite degree) in a 4-connected VAP-free maximal planar graph containing a vertex of infinite degree, a new $\theta$-path is constructed such that the resulting fan is tight.

• Kyungpook Mathematical Journal
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• 제45권2호
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• pp.255-272
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• 2005

This paper is concerned with studying the weighted $L^P$ boundedness of a class of maximal operators related to homogeneous singular integrals with rough kernels. We obtain appropriate weighted $L^P$ bounds for such maximal operators. Our results are extensions and improvements of the main theorems in [2] and [5].

• 대한수학회논문집
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• 제26권4호
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• pp.685-693
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• 2011

General framework for proximal point algorithms based on the notion of (A, ${\eta}$)-maximal monotonicity (also referred to as (A, ${\eta}$)-monotonicity in literature) is developed. Linear convergence analysis for this class of algorithms to the context of solving a general class of nonlinear variational inclusion problems is successfully achieved along with some results on the generalized resolvent corresponding to (A, ${\eta}$)-monotonicity. The obtained results generalize and unify a wide range of investigations readily available in literature.

• Kyungpook Mathematical Journal
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• 제56권4호
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• pp.1069-1083
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• 2016

In this paper, the structure of e-local modules and classes of modules via essentially small are investigated. We show that the following conditions are equivalent for a module M: (1) M is e-local; (2) $Rad_e(M)$ is a maximal submodule of M and every proper essential submodule of M is contained in a maximal submodule; (3) M has a unique essential maximal submodule and every proper essential submodule of M is contained in a maximal submodule.

• Korean Journal of Mathematics
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• 제20권2호
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• pp.255-261
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• 2012

Let $\mathcal{O}_n$ be the set of ordered labeled trees on $\{0,\;{\ldots},\;n\}$. A maximal decreasing subtree of an ordered labeled tree is defined by the maximal ordered subtree from the root with all edges being decreasing. In this paper, we study a new refinement $\mathcal{O}_{n,k}$ of $\mathcal{O}_n$, which is the set of ordered labeled trees whose maximal decreasing subtree has $k+1$ vertices.

• 대한수학회논문집
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• 제10권4호
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• pp.917-924
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• 1995

Let $P_I$ be the convex compact set of all unital positive linear maps between the $n \times n$ matrix algebra over the complex field. We find a necessary and sufficient condition for which two maximal faces of $\cap P_I$ intersect. In particular, we show that any pair of maximal faces of $P_I$ has the nonempty intersection, whenever $n \geq 3$.

• 대한수학회논문집
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• 제25권2호
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• pp.313-325
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• 2010

General models for the relaxed proximal point algorithm using the notion of relative maximal accretiveness (RMA) are developed, and then the convergence analysis for these models in the context of solving a general class of nonlinear inclusion problems differs significantly than that of Rockafellar (1976), where the local Lipschitz continuity at zero is adopted instead. Moreover, our approach not only generalizes convergence results to real Banach space settings, but also provides a suitable alternative to other problems arising from other related fields.

• 대한수학회지
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• 제53권1호
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• pp.57-72
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• 2016

We establish maximal moment inequalities of partial sums under ${\psi}$-weak dependence, which has been proposed by Doukhan and Louhichi [P. Doukhan and S. Louhichi, A new weak dependence condition and application to moment inequality, Stochastic Process. Appl. 84 (1999), 313-342], to unify weak dependence such as mixing, association, Gaussian sequences and Bernoulli shifts. As an application of maximal moment inequalities, a functional central limit theorem is developed for linear processes with ${\psi}$-weakly dependent innovations.

• 대한수학회보
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• 제57권2호
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• pp.383-391
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• 2020

We study the mapping property of multilinear fractional maximal operators in Lipschitz spaces. It should be pointed out that some of the techniques employed in the study of fractional integral operators do not apply to fractional maximal operators.