• Journal of applied mathematics & informatics
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• v.15 no.1_2
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• pp.159-172
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• 2004

A map is singular if each edge is on the same face on a surface (i.e., those have only one face on a surface). Because any map with loop is not colorable, all maps here are assumed to be loopless. In this paper po-vides the explicit expression of chromatic sum functions for rooted singular maps on the projective plane, the torus and the Klein bottle. From the explicit expression of chromatic sum functions of such maps, the explicit expression of enumerating functions of such maps are also derived.

• Bulletin of the Korean Mathematical Society
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• v.55 no.6
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• pp.1909-1920
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• 2018

In the paper, the authors find a common solution to three series of differential equations related to the generating function of the Bernoulli numbers of the second kind and present a recurrence relation, an explicit formula in terms of the Stirling numbers of the first kind, and a determinantal expression for the Bernoulli numbers of the second kind.

• East Asian mathematical journal
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• v.31 no.1
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• pp.91-101
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• 2015

An explicit expression of the optimal investment strategy corresponding to the HARA utility function under the constant elasticity of variance (CEV) model has been given by Jung and Kim [6]. In this paper we give an explicit expression of the optimal solution for the extended logarithmic utility function. And we prove an a.s. convergence of the HARA solutions to the extended logarithmic one.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.13 no.3
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• pp.202-208
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• 2001

Explicit approximation has been developed to estimate the run-up height on S-berm breakwater on the basis of Saville's hypothetical slope method. For the explicit expression of run-up height several relations are developed to represent the ratio of run-up height against breakwater slope with various conditions of water depth and wave steepness. For the verification of explicit approximation the results are compared with Saville's measurement data and simple expression of Delft Hydraulic Laboratory.

• Journal of the Korean Mathematical Society
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• v.50 no.3
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• pp.509-527
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• 2013

A Krawtchouk polynomial is introduced as the classical Mac-Williams identity, which can be expressed in weight-enumerator-free form of a linear code and its dual code over a Hamming scheme. In this paper we find a new explicit expression for the $p$-number and the $q$-number, which are more generalized notions of the Krawtchouk polynomial in the P-polynomial schemes by using an extended version of a discrete Green's function. As corollaries, we obtain a new expression of the Krawtchouk polynomial over the Hamming scheme and the Eberlein polynomial over the Johnson scheme. Furthermore, we find another version of the MacWilliams identity over a Hamming scheme.

• Coupled systems mechanics
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• v.12 no.1
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• pp.1-20
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• 2023

On the basis of the explicit time-domain method, an investigation is performed on the influence of the rotational stiffness and rotational damping of the vehicle body and front-rear bogies on the dynamic responses of the vehicle-bridge coupled systems. The equation of motion for the vehicle subsystem is derived employing rigid dynamical theories without considering the rotational stiffness and rotational damping of the vehicle body, as well as the front-rear bogies. The explicit expressions for the dynamic responses of the vehicle and bridge subsystems to contact forces are generated utilizing the explicit time-domain method. Due to the compact wheel-rail model, which reflects the compatibility requirement of the two subsystems, the explicit expression of the evolutionary statistical moment for the contact forces may be performed with relative ease. Then, the evolutionary statistical moments for the respective responses of the two subsystems can be determined. The numerical results indicate that the simplification of vehicle model has little effect on the responses of the bridge subsystem and the vehicle body, except for the responses of the rotational degrees of freedom for the vehicle subsystem, regardless of whether deterministic or random analyses are performed.

• Journal of applied mathematics & informatics
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• v.5 no.3
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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.

• Journal of Korean language education
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• v.25 no.1
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• pp.115-144
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• 2014

The purpose of this paper is to compare the two different instruction methods for Korean learners of academic purposes in learning request expression. Participants were divided into two groups, explicit and implicit group. Both groups viewed several scenes from the drama that involved native speakers interacting in different situations. The instructional treatment for the explicit group included metapragmatic information while the treatment for the implicit group did not. On the other hand, the treatment for the implicit group followed implicit techniques, which were repetition of the video presentation and a script reading activity. This study was made up of a pre-test, a post-test, and a delayed-test. The pre-test was conducted prior to the instructional treatment. The post-test was administered a day after the last instruction and the delayed-test was conducted five weeks after the treatments. Two types of tests, speaking and writing, were used in this study to examine subjects' knowledge of Korean request. The result of this research reveals that implicit treatment was more effective than explicit treatment in Korean learners' request acquisition. This results might have been due to the operationalization of the implicit condition in this study. Implicit instruction may help language learners make rules by themselves through tasks.

• Korean Journal of Community Nutrition
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• v.28 no.2
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• pp.114-123
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• 2023

Objectives: Current social norms in the United States do not favor breastfeeding in public. This study examined associations between college students' explicit and implicit emotions of breastfeeding in public and their intention to support public breastfeeding. Methods: Twenty-two student participants viewed images of a breastfeeding woman with a fully-covered, fully-exposed, or partially-exposed breast in a public setting. After viewing each image, participants' explicit emotions (self-reported) of the image were measured using a questionnaire and their implicit emotions (facial expression) were measured using FaceReader technology. We examined if a relationship exists between both emotions [toward images] and intention to support breastfeeding in public using correlation techniques. We determined the relative influence of two emotions on the intention to support breastfeeding in public using regression analyses. Results: The nursing images depicting a fully-covered breast (r = 0.425, P = 0.049 vs. r = 0.271, P = 0.222) and fully-exposed breast (r = 0.437, P = 0.042 vs. r = 0.317, P = 0.150) had stronger associations with explicit emotions and intention to support breastfeeding in public compared to implicit emotions and intention. Breastfeeding knowledge was associated with a positive explicit emotion for images with partial- (β = 0.60, P = 0.003) and full-breast exposure (β = 0.65, P = 0.002). Conclusions: Explicit emotions appear to drive stated intentions to support public breastfeeding. Further research is needed to understand the disconnect between explicit and implicit emotions, the factors that influence these emotions, and whether stated intentions lead to consistent behavior.

• Steel and Composite Structures
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• v.23 no.3
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• pp.331-338
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• 2017

Cold-formed lipped channel columns (CFLCCs) have been widely used in light gauge steel constructions. The distortional buckling is one of the important buckling modes for CFLCCs and the distortional buckling critical load depends significantly on the rotational restrain stiffness generated by the web to the lipped flange. First, a simplified explicit expression for the rotational restraint stiffness of the lipped flange has been derived. Using the expression, the characteristics of the rotational restraint stiffness of the lipped flange have been investigated. The results show that there is a linear coupling relationship between the applied forces and the rotational restraint stiffness of the lipped flange. Based on the explicit expression of the rotational restraint stiffness of the lipped flange, a simplified analytical formula has been derived which can determine the elastic distortional buckling critical stress of the CFLCCs subjected to axial compression. The simplified analytical formula developed in this study has been shown to be accurate through the comparisons with results from the distortional buckling analyses using the ANSYS finite element software. The developed analytical formula is easy to apply, and can be used directly in practical design and incorporated into future design codes and guidelines.