• Journal of the Korean Mathematical Society
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• v.53 no.1
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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.

• The Bulletin of The Korean Astronomical Society
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• v.42 no.2
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• pp.41.1-41.1
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• 2017

We present weak-lensing analysis of the merging galaxy cluster Abell 115 at z=0.197 based on Subaru i and V band images. As merging clusters often show, Abell 115's merging signatures include radio relics, double X-ray peaks, and large offsets between the cluster member galaxies and the X-ray distributions. A weak-lensing study provides underlying dark matter distribution, the key information to determine the complex merging scenario of the cluster. In this work, we present 2D mass reconstruction of the cluster, which reveals two distinct mass peaks consistent with galaxy distributions. We measure the first weak-lensing mass of each subcluster. Our weak-lensing total mass estimate is a few factors lower than the published dynamical mass obtained from velocity dispersion. This large mass discrepancy may be attributed to a significant departure from dynamical equilibrium. We also re-analyze the archival chandra data and find that the result is consistent with weak-lensing mass.

• Speech Sciences
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• v.12 no.4
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• pp.167-180
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• 2005

The present study examines the phonetic realizations of the unstressed weak vowel /e/ in English words produced by native and Korean ESL speakers. Traditionally, the stressed elements in utterance are considered to be prominent. In this sense, the unstressed weak vowel /e/ is predicted to be shorter in length, lower in pitch and intensity than the stressed vowels. The experiment shows that native English speakers correlate the unstressed weak vowel /e/ with both shorter duration and lower pitch; Korean ESL speakers correlate it with lower pitch only. We cannot find any significant statistical difference in intensity between /e/ and the stressed vowels in both cases. This study suggests it is important to acquire and produce the correct prosodic correlates of the unstressed weak vowel /e/ for Korean ESL speakers to command more natural English intonation, since /e/ is the most common vowel in English speech and consists of the English foot rhythm along with stressed vowels.

• Publications of The Korean Astronomical Society
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• v.30 no.2
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• pp.393-395
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• 2015

Weak gravitational lensing is an efficient technique for detecting galaxy clusters and probing their mass distribution. We present a weak gravitational lensing analysis of a large sample of galaxy clusters. We have built a nearly complete sample of 50 optically rich clusters, located in the redshift range 0.1 < z < 0.6 and observed in the Canada France Hawaii Telescope Legacy Survey (CFHT-LS). We used weak gravitational lensing to measure, for each galaxy cluster, the density radial profile, the total mass and the mass-to-light ratio (by comparing with the total luminosity of the member galaxies). This project is a preliminary step towards the next analysis of the weak lensing galaxy clusters in the surveys KiDS and VOICE, which are currently collecting data with the VLT Survey Telescope, in Chile.

• Journal of the Korean Mathematical Society
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• v.58 no.1
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• pp.237-264
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• 2021

In this work the stationary bootstrap of Politis and Romano [27] is applied to the empirical distribution function of stationary and associated random variables. A weak convergence theorem for the stationary bootstrap empirical processes of associated sequences is established with its limiting to a Gaussian process almost surely, conditionally on the stationary observations. The weak convergence result is proved by means of a random central limit theorem on geometrically distributed random block size of the stationary bootstrap procedure. As its statistical applications, stationary bootstrap quantiles and stationary bootstrap mean residual life process are discussed. Our results extend the existing ones of Peligrad [25] who dealt with the weak convergence of non-random blockwise empirical processes of associated sequences as well as of Shao and Yu [35] who obtained the weak convergence of the mean residual life process in reliability theory as an application of the association.

• Journal of the Korean Mathematical Society
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• v.54 no.5
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• pp.1457-1482
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• 2017

Let S and R be rings and $_SC_R$ a (faithfully) semidualizing bimodule. We introduce and study C-weak flat and C-weak injective modules as a generalization of C-flat and C-injective modules ([21]) respectively, and use them to provide additional information concerning the important Foxby equivalence between the subclasses of the Auslander class ${\mathcal{A}}_C$ (R) and that of the Bass class ${\mathcal{B}}_C$ (S). Then we study the stability of Auslander and Bass classes, which enables us to give some alternative characterizations of the modules in ${\mathcal{A}}_C$ (R) and ${\mathcal{B}}_C$ (S). Finally we consider an open question which is closely relative to the main results ([11]), and discuss the relationship between the Bass class ${\mathcal{B}}_C$(S) and the class of Gorenstein injective modules.

• Steel and Composite Structures
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• v.15 no.5
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• pp.507-518
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• 2013

The seismic performance of six types of weak-axis steel moment connections was investigated through cyclic testing of six full-scale specimens. These weak-axis moment connections were the column-tree type, WUF-B type, FF-W type, WFP type, BFP-B type and DST type weak-axis connections. The testing results showed that each of these weak-axis connection types achieved excellent seismic performance, except the WFP and the WUF-B types. The WFP and WUF-B connections displayed poor seismic performance because a fracture appeared prematurely at the weld joint due to stress concentrations. The column-tree type connection showed the best seismic behavior such that the story drift ratio could reach 5%.

• Journal of the Korean Society for Precision Engineering
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• v.15 no.6
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• pp.64-78
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• 1998

In this paper, on the basis of factory rationalization, the detection and evaluation system of weak assembly process was developed to analyze the processes for improvement of assembly productivity in the current assembly system. Using this detection and evaluation system of weak assembly process, the weak degrees of assembly process were quantitatively calculated. In this system, the improved design rules were constructed for assemblability and the redesign alternative was Presented for elimination of weak Process. After review of the redesign alternative, it was applied to the actual assembly system.

• Bulletin of the Korean Mathematical Society
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• v.61 no.3
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• pp.637-669
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• 2024

The goal of this paper is to study decay properties of weak solutions to Cauchy problem of the non-stationary fractional Navier-Stokes equations. By using the Fourier splitting method, we give the time L²-decay rate of weak solutions, which reveals that L²-decay is generally determined by its linear generalized Stokes flow. In second part, we establish various decay results and the uniqueness of the two dimensional fractional Navier-Stokes flows. In the end of this article, as an appendix, the existence of global weak solutions is given by making use of Galerkin' method, weak and strong compact convergence theorems.

• The Journal of Pediatrics of Korean Medicine
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• v.23 no.3
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• pp.55-69
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• 2009

Objectives This study is designed to evaluate the relationship between school life maladjustment and oriental medicine by diagnostic procedure based on the symptoms of weak children. Methods The questionnaire administrated to 130 fifth grade elementary school students in Daejeon was analyzed. Results 1. Comparing and analyzing different sexes in terms of school adjustment grades, girls were more adaptable than boys. 2. Weak score didn't show significant difference in sex and in the school adjustment 3. Based on the relationship between a group normal children and a group of children with weak lung, normal children group was more adaptable than group of children with weak lung. Conclusions School life maladjustment should be investigated as a new field of oriental medical treatment and further study needs to be done.