• Bulletin of the Korean Mathematical Society
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• v.47 no.1
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• pp.131-149
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• 2010

In 1992, the author introduced the definition and the properties of Wiener measure over paths in Wiener space and this measure was investigated extensively by some mathematicians. In 2002, the author and Dr. Im presented an article for analogue of Wiener measure and its applications which is the generalized theory of Wiener measure theory. In this note, we will derive the analogue of Wiener measure over paths in Wiener space and establish two integration formulae, one is similar to the Wiener integration formula and another is similar to simple formula for conditional Wiener integral. Furthermore, we will give some examples for our formulae.

• Kyungpook Mathematical Journal
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• v.48 no.4
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• pp.559-575
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• 2008

A commutative hypercomplex system $L_1$(Q,m) is, roughly speaking, a space which is defined by a structure measure (c(A,B, r), (A,$B{\in}{\beta}$(Q)). Such space has bee studied by Berezanskii and Krein. Our main purpose is to establish a generalization of convolution semigroups and to discuss the role of the L$\'{e}$vy measure in the L$\'{e}$vy-Khinchin representation in terms of continuous negative definite functions on the dual hypercomplex system.

• The Pure and Applied Mathematics
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• v.23 no.3
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• pp.205-221
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• 2016

We formulate the additive entropy of a natural number in terms of the additive partition function, and show that its multiplicative entropy is directly related to the multiplicative partition function. We give a practical formula for the multiplicative entropy of natural numbers with two prime factors. We use this formula to analyze the comparative density of additive and multiplicative entropy, prove that this density converges to zero as the number tends to infinity, and empirically observe this asymptotic behavior.

• Earthquakes and Structures
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• v.6 no.3
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• pp.301-316
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• 2014

This paper is devoted to investigate the effects of SSI on strength reduction factor of multistory buildings. A new formula is proposed to estimate strength reduction factors for MDOF structure-soil systems. It is concluded that SSI reduces the strength reduction factor of MDOF systems. The amount of this reduction is relevant to the fundamental period of structure, soil flexibility, aspect ratio and ductility of structure, and could be significantly different from corresponding fixed-base value. Using this formula, measuring the amount of this error could be done with acceptable accuracy. For some practical cases, the error attains up to 50%.

• East Asian mathematical journal
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• v.36 no.2
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• pp.291-315
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• 2020

In this study, the geometric model of 11 factorization formulas presented in the 2015 revised national curriculum was constructed and the necessary mathematical conditions were derived in the process. As a result of the study, all of the 11 factorization formulas are geometrically modeled and 12 conditions are derived in the process. However, the basic method of directly cutting and attaching a given shape was limited to not being able to make a rectangle or rectangular parallelepiped. Therefore, the problem was solved by changing the perspective and focusing on whether rectangle or rectangular parallelepiped with the same area or volume could be constructed.

• The Pure and Applied Mathematics
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• v.8 no.2
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• pp.127-135
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• 2001

The main object of this paper is to present a transformation formula for a finite series involving $_3F_2$ and some identities associated with the binomial coefficients by making use of the theory of Legendre polynomials $P_{n}$(x) and some summation theorems for hypergeometric functions $_pF_q$. Some integral formulas are also considered.

• The Pure and Applied Mathematics
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• v.12 no.4 s.30
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• pp.275-287
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• 2005

Geometric invariants are basic tools for geometric processing and computer vision. In this paper, we give a linear approximation for the differentiation of the binormal vector field of a space curve by using the forward and backward differences of discrete binormal vectors. Two kind of discrete torsion, say, back-ward torsion $T_b$ and forward torsion $T_f$ can be defined by the dot product of the (backward and forward) discrete differentiation of binormal vectors that are linear approximations of torsion. Using Frenet formula and Taylor series expansion, we give error estimations for the discrete torsions. We also give numerical tests for a curve. Notably the average of $T_b$ and $T_f$ looks more stable in errors.

• Journal of applied mathematics & informatics
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• v.39 no.3_4
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• pp.455-467
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• 2021

In this paper, we define twisted q-Euler polynomials of the second kind and explore some properties. We find generating function of twisted q-Euler polynomials of the second kind. Also, we investigate twisted q-Raabe's multiplication formula and (w, q)-alternating power sums of twisted q-Euler polynomials of the second kind. At the end, we define twisted q-Hurwitz's type Euler zeta function of the second kind.

• Child Health Nursing Research
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• v.21 no.4
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• pp.285-292
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• 2015

Purpose: Purpose of this study was to identify factors affecting the performance of hand hygiene by parents of hospitalized infants. Methods: The study was conducted with 209 parents of hospitalized infants from one hospital in Changwon. Data were collected from June through August, 2014 and analyzed using SPSS Win 18.0 program. Results: There were positive correlations between performance of hand hygiene and perceptions of sanitary formula bottle (r=.586, p<.001), attitude to hand hygiene (r=.438, p<.001), and knowledge of hand hygiene (r=.405, p<.001) and between parent efficacy and perceptions of sanitary formula bottle (r=.572, p<.001). Awareness of perceptions of sanitary formula bottle (${\beta}$=.308, p<.001), parent efficacy (${\beta}$=.281, p<.001) and hand hygiene attitude (${\beta}$=.207, p<.001) were significant predictors of hand hygiene performance and explained 46.1% of the variance. Conclusion: To increase infection control medical institutions should provide education on hand hygiene and training for parents of hospitalized infants. In order to enhance the performance of hand hygiene, it is necessary to develop and apply nursing programs for hospitalized infants that include hand hygiene attitude, maintenance of the sanitary formula bottle and parent efficacy.

• Women's Health Nursing
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• v.6 no.3
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• pp.348-357
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• 2000

The purpose of this study was to investigate encouragement experience on breastfeeding of health professionals, and the support in their hospitals on breastfeeding. A questionnaire on breastfeeding was administered to the obstetricians, pediatricians and nurses at the department of pediatrics or obstetrics of university hospital and private hospital in Seoul and Choong-Chung Province in South Korea. Total numbers of study subjects were 346 (pediatrician 67, obstetrician 41, nurse 238). Data was statistically analyzed according to descriptive statistics, Chi-square test and multivariant analysis. The results were as follows : 1. Most of the respondents (93.6%) had a knowledge regarding breastfeeding which had more advantage than formula-feeding. But their experience to educate the mother about breastfeeding was very limited (34.8%). The major problems were insufficient concern of healthcare professionals, no trained personnel's and lack of education programs on breastfeeding. 2. Most of the respondents (82%) had learned breastfeeding management in class at the university. But 2/3 of them had not been educated on breastfeeding management after graduation. 3. More than half of the hospitals had no breastfeeding education programs. And they recommended the formula-feeding to the mothers. 4. Seventy percent of the respondents recognized that breastfeeding information offered to the mothers in their hospitals might help to increase the rate of breastfeeding. But only 40% of hospital had offered breastfeeding information using pamphlets or brochures. In our study, a majority of respondents had not been educated on breastfeeding after graduation. A personal experience in breastfeeding is known predictor of confidence in breastfeeding. Educational programs may have an effect to change the health professionals behavior. Therefore, it is necessary to assist health professionals in obtaining more knowledge about breastfeeding. Continuing education programs to health professionals should be offered by nation and regional organization.