• Bulletin of the Korean Mathematical Society
• /
• v.44 no.1
• /
• pp.195-202
• /
• 2007

We prove that a real hypersurface M in a complex space form Mn(c), $c{\neq}0$, whose Ricci operator and structure tensor commute each other on the holomorphic distribution and the Ricci operator is ${\eta}-parallel$, is a Hopf hypersurface. We also give a characterization of this hypersurface.

• Bulletin of the Korean Mathematical Society
• /
• v.43 no.2
• /
• pp.235-244
• /
• 2006

We shall give a characterization of a real hypersurface M in a complex space form Mn(c), $c\;{\neq}\;0$, whose Ricci operator and structure tensor commute each other on the holomorphic distribution of M, and the Ricci operator is ${\eta}-parallel$.

• Bulletin of the Korean Mathematical Society
• /
• v.48 no.4
• /
• pp.759-767
• /
• 2011

An element of a ring is called strongly nil clean provided that it can be written as the sum of an idempotent and a nilpotent element that commute. A ring is strongly nil clean in case each of its elements is strongly nil clean. We investigate, in this article, the strongly nil cleanness of 2${\times}$2 matrices over local rings. For commutative local rings, we characterize strongly nil cleanness in terms of solvability of quadratic equations. The strongly nil cleanness of a single triangular matrix is studied as well.

• Journal of the Korean Mathematical Society
• /
• v.46 no.3
• /
• pp.621-642
• /
• 2009

In this paper we give necessary and sufficient conditions that two Toeplitz operators with monomial symbols acting on the weighted Bergman space commute. We also present necessary and sufficient conditions for the hyponormality of Toeplitz operators with some special symbols on the weighted Bergman space. All the results are stated in terms of the Mellin transform of the symbol.

• Bulletin of the Korean Mathematical Society
• /
• v.29 no.2
• /
• pp.295-300
• /
• 1992

In [5] it was shown that if T .mem. L(X) is regular on a Banach space X, with finite dimensional intersection T$^{-1}$ (0).cap.T(X) and if S .mem. L(X) is invertible, commute with T and has sufficiently small norm then T - S in upper semi-Fredholm, and hence essentially one-one, in the sense that the null space of T - S is finite dimensional ([4] Theorem 2; [5] Theorem 2). In this note we extend this result to incomplete normed space.

• Bulletin of the Korean Mathematical Society
• /
• v.49 no.3
• /
• pp.589-599
• /
• 2012

An element of a ring is called strongly nil clean provided that it can be written as the sum of an idempotent and a nilpotent element that commute. We characterize, in this article, the strongly nil cleanness of $2{\times}2$ and $3{\times}3$ matrices over $R[x]/(x^2-1)$ where $R$ is a commutative local ring with characteristic 2. Matrix decompositions over fields are derived as special cases.

• Bulletin of the Korean Mathematical Society
• /
• v.46 no.1
• /
• pp.71-78
• /
• 2009

An element of a ring R with identity is called strongly clean if it is the sum of an idempotent and a unit that commute, and R is called strongly clean if every element of R is strongly clean. Let R be a noncommutative local ring, a criterion in terms of solvability of a simple quadratic equation in R is obtained for $M_2$(R) to be strongly clean.

• Korean Journal of Community Nutrition
• /
• v.16 no.2
• /
• pp.195-205
• /
• 2011

This study was conducted to investigate the time spent, activity coefficient and energy expenditure on 7 different types of activity. Total of 386 5th and 6th grade primary school boys and girls in Seoul participated in this study. The participants spent 8 hrs for rest, 4 hrs for out of school study, 3 hrs for leisure, 1 hr 45 mins. for hygiene, 1 hr for commute, and 15 mins. for house choir activity in the day of 6 class hours. The average activity coefficient of 1 day for boys and girls were 1.69 and 1.64, respectively. The TEEs were 2,382 kcal and 2,050 kcal for boys and girls, respectively. The energy cost for study related activity (in school and study activities) was 40% of the TEE, and for rest 20%, for commute 9%, and for hygiene 10% of the TEE. The energy cost for house choir was only about 2% of TEE. The 91.2% participant's EER was higher than the EER shown in the table of 2010 DRI for Koreans. When the participant's EER was compared with the energy allowance calculated by the method in 2000 RDA for Korean, 81.6% was in the range of ${\pm}5%$, and the correlation coefficients between the 2 values were 0.981 for boys and 0.978 for girls, which means high agreements.

• Journal of Korean Society of Transportation
• /
• v.29 no.3
• /
• pp.7-19
• /
• 2011

Using 2006 metropolitan household travel survey data, this study analyzes trip behaviors based on a concept of trip chains using both trip purpose and number of trip linkages. For the analysis, trip chains are classified into two groups depending on including commute trips. Each group is further classified into a single linkage (i.e., Origin-Destination trips without any intermediate stop-by) and multiple linkages (Origin-Destination trip with at least one intermediate stop-by). The analysis is conducted using the two-step Nested Logit Model. Computational results identifying the characteristics of single and multiple linkages show that the young, male and office employee drivers tend to have more multiple linkages than single linkages in their trips. In contrast, it is shown that a driver whose monthly income is less than 3,000,000 Korean Won with a longer commute time more likely to make a trip chain with single linkages (p<0.0001).

• The Korean Journal of Community Living Science
• /
• v.15 no.1
• /
• pp.35-47
• /
• 2004

This study investigated the health and eating habits of college students who commute long distances to and from their schools. Among ninety-eight commuters, 61.2% were females while 38.8% were males. The mean round-trip commuting time was 4.60 hours and the mean number of days of commuting was 3.68. The proportion of underweight females (26.7%) was significantly greater than that of underweight males (5.3%). Conversely, the proportion of overweight males was 34.2% while only 1.6% of the females were overweight, and the difference was statistically significant. The mean number of health-related problems was 1.47 for males and 1.90 for females. Commuting affected the eating habits (90.8%) and health status more noticeably among females. Physical discomfort such as fatigue, stomach discomfort, constipation, weight change, and insomnia appeared after commuting. Irregular meal times, skipping breakfast, frequent overeating and insufficient time to eat were the most prevalent problems indicated. The scores for dietary attitude and eating habits were 20.1/30 and 27.6145, for males and females respectively. Although self-perceived nutrition knowledge was significantly related to dietary attitude and satisfaction with meals, a correlation was not found between self-perceived nutrition knowledge or dietary attitude and the eating habits score. The more concerned the parents were about student's eating habits, the higher the score relating to eating habits. The parents' concerns about students' meals and the food expenses were significantly correlated, but no correlation was found between the food expenses and the eating habits score. Consistent parental concern and encouraging students to maintain good eating habits are recommended. University administrators should also be aware of the needs of commuters and provide a proper and adequate food-related environment for the students.