• Communications of the Korean Mathematical Society
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• v.38 no.4
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• pp.1019-1028
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• 2023

Let 𝔄 and 𝔅 be unital prime *-algebras such that 𝔄 contains a nontrivial projection. In the present paper, we show that if a bijective map Θ : 𝔄 → 𝔅 satisfies Θ(_*[X ⋄ Y, Z]) = _*[Θ(X) ⋄ Θ(Y), Θ(Z)] for all X, Y, Z ∈ 𝔄, then Θ or -Θ is a *-ring isomorphism. As an application, we shall characterize such maps in factor von Neumann algebras.

• Structural Engineering and Mechanics
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• v.23 no.3
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• pp.249-262
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• 2006

In this paper, a simplified mathematical procedure is presented to incorporate nonlinearity in soil material to predict the deceleration time history, penetration depth and other relevant parameters for normal impact of missiles into soil targets. Numerical method is employed for these predictions. The results of the study are compared with experimental observations and predictions available in the literature. A good agreement is found with experimental observations and an improvement is observed with existing predictions. A comparison is also made with linear soil model. Some parametric studies are also carried out to obtain the results of practical interest.

• Steel and Composite Structures
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• v.2 no.5
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• pp.331-354
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• 2002

Tethers of Tension Leg Platform (TLP) are a series structural system where fatigue is the principal mode of failure. The present study is devoted to the fatigue and fatigue fracture reliability study of these tethers. For this purpose, two limit state functions have been derived. These limit state functions are based on S-N curve and fracture mechanics approaches. A detailed methodology for the reliability analysis has then been presented. A sensitivity analysis has been carried out to study the influence of various random variables on tether reliability. The design point, important for probabilistic design, is located on the failure surface. Effect of wind, water depth, service life and number of welded joints are investigated. The effect of uncertainties in various random variables on tether fatigue reliability is highlighted.

• Asian review of World Histories
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• v.4 no.2
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• pp.231-256
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• 2016

This paper presents a case study of the Muslim diaspora through comparative analysis of Islamic tombstones from the Southeast Coast of China under Mongol rule. The locations of the nisbas in the Islamic tombstones are widely dispersed, covering Xinjiang, Transoxiana, Iran, Khorasan, Khwarazm, Armenia, Syria, Palestine, and Arabia. Unexpectedly, we did not find a single named location from India or Southeast Asia. It is well known that notable descendants of distinguished families traditionally produced officials, intellectuals, and wealthy merchants, and surrendered to the Mongols during the war against the Qara Khitai Khanate and the Khwarazm Empire. There were a great number of appointed officials with Muslim names in the Jianghuai (around Lower Yangtze) and Fujian regions. This is consistent with the concentration of epitaphs written in Arabic on the southeast coast of China. The frequent use of the specific tradition of the prophet Muhammad associating the death of the exile with martyrdom in Islamic tombstones in Quanzhou, Hangzhou, and Yangzhou indicates that the Muslims in these port cities eventually established an interregional or diasporic identity of Muslim foreighners whoimmigrated into the region.

• Honam Mathematical Journal
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• v.41 no.1
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• pp.135-152
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• 2019

In the last decades, various integral formulas associated with Bessel functions of different kinds as well as Bessel functions themselves, have been studied and a noteworthy amount of work can be found in the literature. Following up, we present two definite integral formulas involving the product of generalized Bessel function associated with orthogonal polynomials. Also, some intriguing special cases of our main results have been discussed.

• Korean Journal of Mathematics
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• v.27 no.2
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• pp.505-514
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• 2019

In this paper we study the approximation properties of a continuous function by the sequence of (p, q)-Bernstein operators for q > p > 1. We obtain bounds of (p, q)-Bernstein operators. Further we prove that if a continuous function admits an analytic continuation into the disk $\{z:{\mid}z{\mid}{\leq}{\rho}\}$, then $B^n_{p,q}(g;z){\rightarrow}g(z)(n{\rightarrow}{\infty})$ uniformly on any compact set in the given disk $\{z:{\mid}z{\mid}{\leq}{\rho}\}$, ${\rho}>0$.

• Bulletin of the Korean Chemical Society
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• v.26 no.12
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• pp.2061-2064
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• 2005

• Honam Mathematical Journal
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• v.32 no.2
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• pp.299-306
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• 2010

• Journal of Fashion Business
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• v.25 no.2
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• pp.63-79
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• 2021

In order to expand the overseas market of the Korean fashion industry, it is necessary to investigate the fashion-related purchases and fashion consciousness of Muslim women, who are increasingly attracting attention as global fashion consumers. Therefore a survey was conducted to identify the fashion design preferences and fashion consciousness of Malaysian Muslim women. A total of 245 responses were collected and analyzed. The survey included questions on demographic characteristics, fashion product purchases, design preferences and environmental awareness. The data were analyzed through frequency, average and standard deviation. The analysis showed that the majority of respondents were young Malaysian Muslim women in their 20s and 30s. They preferred a modern, Sophisticated, and sporty image, and their preference for unpatterned fabrics was high. When choosing fashion products, these women seek to both pursue fashion trends and comply with Islamic laws. When the women buy clothes, they consider practicality and design elements. The women also collected fashion trend information through SNS and the Internet, and ues this information to purchase fashion products through the Internet and shopping malls. This study was based on a practical survey of local consumers. Therefore, it is expected that the results can be used as data for fashion-related studies and to expand overseas markets to reach Muslim women in Southeast Asia.

• Journal of Fashion Business
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• v.25 no.3
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• pp.17-35
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• 2021

The purpose of this study was to analyze the different consumption patterns of fashion products according to the demographic characteristics and religious variables of Muslim women in Indonesia. The research method consisted of a questionnaire, which surveyed Muslim women in Indonesia, whose ages ranged from teens to 40s. The final questionnaire made use of 301 responses, and the analysis methods included 𝛘²-testing, factor analysis, and ANOVA. The results of this survey are as follows: For differences in average monthly clothing purchase costs, there were significant differences according to age, monthly income, final education, and whether or not the respondent wore a hijab, but there was also significant difference according to marital status and religious faithfulness. Muslim women's clothing purchasing factors were practicality, visibility, fit-to-wear, and design. In terms of the differences in factors which were considered when purchasing clothing, they depended on whether or not the respondent was married, practicality and visibility according to age, visibility according to final education, and religious faithfulness. There were significant differences in practicality and visibility, but not according to monthly income. When accounting for the differences in the places where Muslim women bought fashion products, there were significant differences according to marital status and age. In terms of the differences in reasons for choosing a place of purchase, there were significant differences according to age, monthly income, final education, and the degree of hijab wearing.