• Journal of Nutrition and Health
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• 제45권4호
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• pp.390-399
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• 2012

The objective of this study was to develop and evaluate the construct validity of a Nutrition Quotient (NQ) for children. In a previous report (Kang, et al., 2012), the food behavior checklist for children's NQ, consisting of 19 items, was grouped into a 5-factor structure according to the exploratory factor analysis: balance, diversity, moderation, regularity, and practice. In this study, the construct validity of the NQ was assessed using a confirmatory factor analysis. Elementary school students (n = 1,393) from six large cities completed the NQ test. Indicator tests suggested an adequate model fit (goodness of fit index = 0.9613; adjusted GFI = 0.95; standardized root mean square residual = 0.0464; chi-square test statistics of < 0.001 p-value, 82.1), and item loadings were significant for all subscales (p < 0.05). The standardized path coefficients were used as the weights of the items. The NQ and the 5 factor scores of the student were calculated by the obtained weights of the questionnaire items. Logistic regression was applied to find the significant factors in order to affect a specific nutrient status. The receiver operation characteristic curve analyses were performed in order to find diagnostic cut-off points of the five factors. The food behavior checklist for children's NQ would be a handy and suitable instrument for evaluating dietary behaviors of Korean children.

• 호남수학학술지
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• 제40권4호
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• pp.601-610
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• 2018

In the present paper, we construct an ordered regular equivalence relation on an ordered semihyperring by 2-hyperideals such that the corresponding quotient structure is also an ordered semihyperring.

• 대한수학회보
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• 제60권1호
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• pp.113-122
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• 2023

We classify lens spaces with the Milnor fillable contact structure that admit minimal symplectic fillings whose second Betti numbers are one.

• Korean Journal of Mathematics
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• 제11권1호
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• pp.45-49
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• 2003

We introduce the $k_0$-proximity space as a generalization of the Efremovi$\check{c}$-proximity space. We try to show that $k_0$-proximity structure lies between topological structures and uniform structure in the sense that all topological invariants are $k_0$-proximity invariants and all $k_0$-proximity invariants are uniform invariants.

• Kyungpook Mathematical Journal
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• 제61권2호
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• pp.223-237
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• 2021

Let n be a fixed natural number. Menger algebras of rank n can be regarded as a canonical generalization of arbitrary semigroups. This paper is concerned with studying algebraic properties of Menger algebras of rank n by first defining a special class of full n-place functions, the so-called a left translation, which possess necessary and sufficient conditions for an (n + 1)-groupoid to be a Menger algebra of rank n. The isomorphism parts begin with introducing the concept of homomorphisms, and congruences in Menger algebras of rank n. These lead us to establish a quotient structure consisting a nonempty set factored by such congruences together with an operation defined on its equivalence classes. Finally, the fundamental homomorphism theorem and isomorphism theorems for Menger algebras of rank n are given. As a consequence, our results are significant in the study of algebraic theoretical Menger algebras of rank n. Furthermore, we extend the usual notions of ordinary semigroups in a natural way.

• 대한수학회지
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• 제33권3호
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• pp.625-639
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• 1996

A convex $RP^n$-structure on a smooth anifold M is a representation of M as a quotient of a convex domain $\Omega \subset RP^n$ by a discrete group $\Gamma$ of collineations of $RP^n$ acting properly on $\Omega$. When M is a closed surface of genus g > 1, then the equivalence classes of such structures form a moduli space $B(M)$ homeomorphic to an open cell of dimension 16(g-1) (Goldman [2]). This cell contains the Teichmuller space $T(M)$ of M and it is of interest to know what of the rich geometric structure extends to $B(M)$. In [3], a symplectic structure on $B(M)$ is defined, which extends the symplectic structure on $T(M)$ defined by the Weil-Petersson Kahler form.

• 한국초등과학교육학회지:초등과학교육
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• 제35권2호
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• pp.137-149
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• 2016

The purpose of this study is to develop a descriptive paper test item which can evaluate elementary school students' HGA (scientific Hypothesis Generating Ability) and to propose a counting formula that can easily assess student's HGA objectively and quantitatively. To make the test item can possibly evaluate all the students from 6th graders to 3rd graders, the 'rabbit's ear' item is developed. Developed test item was distributed to four different elementary schools in Seoul. Total 280 students who were in the 6th grade solved the item. All the students' reponses to the item were analyzed. Based on the analyzed data evaluation factors and evaluation criteria are extracted to design a Hypothesis Generating ability Quotient (HGQ). As the result 'Explican's Degree of Likeness' and 'Hypothesis' Degree of Explanation' are chosen as evaluation factors. Also precedent evaluation criteria were renewed. At first, Explican's Degree of Likeness evaluation criterion was turned four levels into three levels and each content of evaluation criterion is also modified. Secondly, new evaluation factor 'Hypothesis' Degree of Explanation' was developed as combined three different evaluation criteria, 'level of explican', 'number of explican' and 'structure of explican'. This evaluation factor was designed to assess how the suggested hypothesis can elaborately explain the cause of one phenomenon. Newly designed evaluation factors and evaluation criteria can assess HGA more in detail and reduce the scoring discordant through the markers. Lastly, Developed counting formula is much more simple than precedent Kwon's equation for evaluating the Hypothesis Explanation Quotient. So it could help easily distinguish one student's scientific hypothesis generating ability.

• 대한수학회지
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• 제55권3호
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• pp.695-704
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• 2018

In this paper we derive some basic inequalities connecting the Minkowski measure of symmetry, the Minkowski symmetral and the Banach-Mazur distance. We then explore the geometric contents of these inequalities and shed light on the structure of the quotient 𝔅/Aff of the space of convex bodies modulo the affine transformations.

• Journal of applied mathematics & informatics
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• 제20권1_2호
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• pp.315-325
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• 2006

The notion of intuitionistic fuzzy finite switchboard state machines and (strong) homomorphisms of intuitionistic fuzzy finite state machines are introduced, and related properties are investigated. After we give a congruence relation on the set of all words of elements of X of finite length, the quotient structure is discussed. We show that the family of equivalence classes is a finite semigroup with identity.

• 대한수학회논문집
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• 제28권3호
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• pp.449-455
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• 2013

The notion of hardily ranked bigroupoids is introduced and related properties are investigated. By considering congruence relations on a hardily ranked bigroupoid, the quotient structure of hardily ranked bigroupoids is discussed.