• Bulletin of the Korean Mathematical Society
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• v.40 no.3
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• pp.457-464
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• 2003

Given a Riemannian manifold (M, $\alpha$) with an almost Hermitian structure f and a non-vanishing covariant vector field b, consider the generalized Randers metric $L\;=\;{\alpha}+{\beta}$, where $\beta$ is a special singular Riemannian metric defined by b and f. This metric L is called an (a, b, f)-metric. We compute the inverse and the determinant of the fundamental tensor ($g_{ij}$) of an (a, b, f)-metric. Then we determine the maximal domain D of $TM{\backslash}O$ for an (a, b, f)-manifold where a y-local Finsler structure L is defined. And then we show that any (a, b, f)-manifold is quasi-C-reducible and find a condition under which an (a, b, f)-manifold is C-reducible.

• 한국초전도학회:학술대회논문집
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• 2007.07a
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• pp.37-37
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• 2007

• Korean Journal of Plant Resources
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• v.11 no.3
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• pp.335-344
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• 1998

Percicarp anatomy of Fagophrum was examined on the basis of 12 species and two subspecies to contribute to a better understanding of specific phylogenetic relationship within genus. Examined species have a similar mature pericarp structure, but differences among the species are found with respect to whether or not sclerotic cells are present, and what kind of is the sclerotic cell shape in theexocarp. By the comparisons with pericarp anatomical structure, they are classified into three groups. First clade is composed of F. esculentum , F. esculentum ssp. ancestralis and F. homotropicum ; second clade is consisted of F. tataricum, F. tataricum ssp. potanini and Fl cymosum ; third clade is composed of f. callianthum,F. capillatum, F. gracilipes, F. leptopodum, F.lineare, F. pleioramosum, F.statice and F.urophyllum. The phylogey based on pericarp characters was considerably consistent with ones proposed by previous authors. It also suggested that pericarp characters are useful informatino for deduceing phylogenetic phylogenetic realtionship within geneus Fagopyrum. On the other hand, morphological character evolution indicated that there are tow synapomorphies in genus. There,it was suggested that these species having selfing and homostylous characters are evolved form heterostylous and ourcrossing species.

• Journal of the Korean Society of Food Science and Nutrition
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• v.24 no.5
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• pp.684-689
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• 1995

The molecular structure of rice starch was investigated using Korean rice[3 varieties of Japonica type and 3 varieties of Tongi type(Japonica-Indica breeding type)]. The λmax of iodine complex and inherent viscosity of Japonica type were higher than those of Tongil type. $\beta$-Amylolysis limit of the starches was not different between the two rice types. In the distribution of molecular weight of rice starch, the molecular size of amylose and amylopectin for Japonica type were smaller than those for Tongil type. The chain of rice starch distributed F1 of above DP 55, F2 of DP 40~50 and F3 of DP 15~20, and the ratio of F3 against F2 for Japonica type was higher than that of Tongil type. The results suggest that rice of Japonica and Tongil type was different molecular structure of starch.

• Journal of Integrative Natural Science
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• v.12 no.4
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• pp.101-104
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• 2019

A hydrated strontium iron fluoride, Sr₂Fe₂F₁₀(H₂O) has been synthesized and characterized. The material was synthesized through mild hydrothermal reaction using an aqueous CF₃COOH solution. The material exhibits a one-dimensional structure consisting of chains of corner-shared Fe³⁺F₆ octahedra, isolated Fe³⁺F₅(H₂O) octahedra, chains of SrF₁₀ polyhedra and isolated SrF₈ polyhedra, respectively. Magnetic property measurements on Sr₂Fe₂F₁₀(H₂O) reveals an antiferromagnetic order at T_N of ~2.5 K with a Weiss temperature (θ) of -61.51 K.

• Journal of the Chungcheong Mathematical Society
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• v.20 no.3
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• pp.245-259
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• 2007

We define and study a concept of $T^f$-space for a map, which is a generalized one of a T-space, in terms of the Gottlieb set for a map. We show that X is a $T_f$-space if and only if $G({\Sigma}B;A,f,X)=[{\Sigma}B,X]$ for any space B. For a principal fibration $E_k{\rightarrow}X$ induced by $k:X{\rightarrow}X^{\prime}$ from ${\epsilon}:PX^{\prime}{\rightarrow}X^{\prime}$, we obtain a sufficient condition to having a lifting $T^{\bar{f}}$-structure on $E_k$ of a $T^f$-structure on X. Also, we define and study a concept of co-$T^g$-space for a map, which is a dual one of $T^f$-space for a map. We obtain a dual result for a principal cofibration $i_r:X{\rightarrow}C_r$ induced by $r:X^{\prime}{\rightarrow}X$ from ${\iota}:X^{\prime}{\rightarrow}cX^{\prime}$.

• Bulletin of the Korean Mathematical Society
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• v.60 no.4
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• pp.915-931
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• 2023

Let F_n be the Farey sequence of order n. For S ⊆ F_n, let 𝓠(S) be the set of rational numbers x/y with x, y ∈ S, x ≤ y and y ≠ 0. Recently, Wang found all subsets S of F_n with |S| = n + 1 for which 𝓠(S) ⊆ F_n. Motivated by this work, we try to determine the structure of S ⊆ F_n such that |S| = n and 𝓠(S) ⊆ F_n. In this paper, we determine all sets S ⊆ F_n satisfying these conditions for n ∈ {p, 2p}, where p is prime.

• Journal of the Korean Crystal Growth and Crystal Technology
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• v.9 no.1
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• pp.1-5
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• 1999

The rare-earth ions ($R^{3+}$, R=Nd, Er) doped $CaF_{2}$ layers have been grown on $CaF_{2}$ (111) substrate by molecular beam epitaxy. The surface structure and the crystallinity of $CaF_{2}:R^{3+}$ layers depending on the doping concentration of $R^{3+}$ and layer thickness were studied by reflection high-energy electron diffraction (RHEED). In aspect of application as buffer layer in semiconductor-related hybrid structure, the lattice displacement between $CaF_{2}:R^{3+}$ layers and $CaF_{2}$ (111) substrate was investigated by X-ray rocking curve analysis.

• Journal of the Korean Magnetics Society
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• v.10 no.3
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• pp.139-142
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• 2000

We present results based on FLAPW local spin density(LSD) calculations of double perovskite structure oxide L $a_2$MnFe $O_{6}$ . The total energy calculations with various spin structures show that this material has a stable ferromagnetic spin configuration. The ionic state of transition metals depend on the spin configuration $_Mn^{4+}$ and F $e^{2+}$ for ferromagnetic structure, M $n^{3+}$ and F $e^{3+}$ for ferrimagnetic structure). It is explained by super exchange interaction between transition metals. The calculated magnetic structure is well matched with recent experimental result.ult.t.

• The Plant Pathology Journal
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• v.28 no.4
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• pp.357-363
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• 2012

Several species belonging to the Gibberella fujikuroi species (Gf ) complex are commonly associated with rice and corn, not only causing serious diseases, but also producing fumonisins, a group of mycotoxins harmful to animals and humans. To characterize the population structure of the putative fumonisin-producing Gf complex in Korea, we obtained 276 candidate isolates from rice and corn harvested in 2009 and 2010 by diagnostic polymerase chain reaction with several specific primer sets. Phylogenetic trees were constructed using multilocus sequences (combined RPB2 and EF1A, totaling 1.6 kb) from these isolates. Among the 135 isolates from rice, F. fujikuroi (teleomorph: G. fujikuroi; 59.3%) and F. proliferatum (G. intermedia; 13.3%) were predominant, followed by F. concentricum (5.9%). Additionally, twenty-five (18.5%) rice isolates belonged in a distinct subclade of F. commune, a non-member of the Gf complex. In contrast, F. verticillioides was the most predominant species (38.3%) among the 141 corn isolates, and followed by F. fujikuroi (27.7%), F. proliferatum (14.9%), F. subglutinans (7.1%), and F. concentricum (2.8%). A single mating type (MAT1-1) was found predominantly among the Gf complex isolates examined. Possible distinct subclades were detected within the populations of F. fujikuroi and F. proliferatum; however, this needs further confirmation. This is the first reported population-level characterization of putative fumonisin-producing Gf complex associated with rice and corn in Korea.