• Bulletin of the Korean Mathematical Society
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• v.55 no.4
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• pp.1125-1135
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• 2018

We show that for an M-action on a compact Hausdorff uniform space, if it has at least two disjoint compact invariant subsets, then it is thickly syndetically sensitive. Additionally, we point out that for a P-M-action of a discrete abelian group on a compact Hausdorff uniform space, the multi-sensitivity is equivalent to both thick sensitivity and thickly syndetic sensitivity.

• Bulletin of the Korean Mathematical Society
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• v.25 no.2
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• pp.179-183
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• 1988

In this paper we study a $C^{*}$-dynamical system (A, G, .alpha.) where A is a UHF-algebra, G is a finite abelian group and .alpha. is a *-automorphic action of product type of G on A. In [2], A. Kishimoto considered the case G= $Z_{n}$, the cyclic group of order n and investigated a condition in order that the fixed point algebra $A^{\alpha}$ of A under the action .alpha. is UHF. In later N.J. Munch studied extremal tracial states on $A^{\alpha}$ by employing the method of A. Kishimoto [3], where G is a finite abelian group. Generally speaking, when G is compact (not necessarily discrete and abelian), $A^{\alpha}$ is an AF-algebra and its ideal structure was well analysed by N. Riedel [4]. Here we obtain some conditions for $A^{\alpha}$ to be UHF, where G is a finite abelian group, which is an extension of the result of A. Kishimoto.oto.

• Journal of Families and Better Life
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• v.31 no.1
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• pp.61-72
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• 2013

This study evaluated Kinetic Family Drawing according to preschoolers' external problem behavior. To achieve this, 120 preschoolers who were four or five years old were investigated and data were statistically analyzed using mean, and chi square analysis with the SPSS Win 13.0 program. The preschoolers' family drawings were analyzed by using the method in Kinetic Family Drawing(Burns & Kaufman, 1972). First, regarding characteristics, the preschoolers in the aggression group rotated certain person or drew the figure from behind, the preschoolers in the delinquency group drew long arms, the figure from behind, and angular forms. Second, regarding action depicted, the preschoolers in both aggression and delinquency groups perceived the lower activity level of their fathers, dangerous situations, and excluded family interaction. Third, regarding symbols, the preschoolers in the delinquency group drew objects such as balls. Finally, regarding drawing style, the preschoolers in the delinquency group drew edges and underline.

• Journal of applied mathematics & informatics
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• v.13 no.1_2
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• pp.201-215
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• 2003

A map is a connected topological graph $\Gamma$ cellularly embedded in a surface. For any connected graph $\Gamma$, by introducing the concertion of semi-arc automorphism group Aut$\_$$\frac{1}{2}$/$\Gamma$ and classifying all embedding of $\Gamma$ undo. the action of this group, the numbers r$\^$O/ ($\Gamma$) and r$\^$N/($\Gamma$) of rooted maps on orientable and non-orientable surfaces with underlying graph $\Gamma$ are found. Many closed formulas without sum ∑ for the number of rooted maps on surfaces (orientable or non-orientable) with given underlying graphs, such as, complete graph K$\_$n/, complete bipartite graph K$\_$m, n/ bouquets B$\_$n/, dipole Dp$\_$n/ and generalized dipole (equation omitted) are refound in this paper.

• Communications of the Korean Mathematical Society
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• v.36 no.4
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• pp.829-833
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• 2021

We investigate the Möbius transformation action of PSL(2, ℝ) on the set of mutually distinct ordered triple points of ℝ ∪ {∞}.

• Journal of Haehwa Medicine
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• v.4 no.1
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• pp.211-223
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• 1995

The antitumor effect of 柴胡(Bupleuri Radix : BP), 茵陳(Artemisiae capillaris Herba; ACH) 및 蒲公英(Taraxaci Herba; TH) and 蒲公英 EE層(Ethyl ether layer of TH; EETH) on human hepatocytes such as Hep G2, PLC and Hep 3B, and synergistic action with the anticancer drugs, that is, mitomycin(MMC), cisplatin(CPT) and 5-fluorouracil(5-FU) were studied by the method of MTT. The results were obtained as follows: 1. $IC_{50}$ against Hep G2, PLC and Hep 3B was $15.5{\mu}g/ml$, $25.4{\mu}g/ml$ and 31.25 in MMC, $92.5{\mu}g/ml$, $50.2{\mu}g/ml$ and $62.5{\mu}g/ml$ in CPT and $125{\mu}g/ml$ in 5-FU respectively. 2. Cytotoxic effect on Hep G2 was obvious in BP-treated group, synergistic action was most effective in TH-treated group or with MMC. 3. Cytotoxic effect on Hep 3B was obvious in ACH-treated group, synergistic action was most effective in ACH-treated group or with MMC. 4. Cytotoxic effect on PLC was obvious in ACH-treated group, synergistic action was most effective in TH-treated group or with MMC. From above results it was concluded that ACH showed the best antitumor effect against PLC and Hep 3B, BP aganst Hep G2 and also synergistic effect was most effective with MMC, which indicates that it is necessary to seperate the antitumor substances in ACH.

• The Korean Journal of Zoology
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• v.3 no.1
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• pp.1-4
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• 1960

The test group and control group, which were grouped with the same weight of five frogs (Rana nigromaculata) respectively, were adapted to light for two hours. Then the anterior lymph heart of the test group were injected with 0.5 cc of 0.1% acetyl choline and 0.5cc of Vitamin B12 (50mc gm/cc). After the frogs of this group were dark-adapted for 90 minutes, their heads were cut off under the dim red light and then their retina removed from eye-balls were extracted with 2% digitonin solution for 20 hours at $0^{\circ}C$. The results of the comparison of these two groups whose optical densities were measured before and after the illumination areas follows : (1) The group which had been injected with 0.5cc of 0.1% acetyl choline solution had the protomotive action on the regeneration of rhodopsin in comparison with the control group. (2) The group which had been injected with 25 mc gm of Vitamin B12 and 0.5cc of 0.1% acetyl choline solution had the controlling action on the regeneration of rhodopsin in comparison with the control group.

• Korean Journal of Mathematics
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• v.19 no.2
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• pp.181-189
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• 2011

Let G be a group and X be a nonempty set and H be a subgroup of G. For a given ${\phi}_G\;:\;G{\times}X{\rightarrow}X$, a group action of G on X, we define ${\phi}_H\;:\;H{\times}X{\rightarrow}X$, a subgroup action of H on X, by ${\phi}_H(h,x)={\phi}_G(h,x)$ for all $(h,x){\in}H{\times}X$. In this paper, by considering a subgroup action of H on X, we have some results as follows: (1) If H,K are two normal subgroups of G such that $H{\subseteq}K{\subseteq}G$, then for any $x{\in}X$ ($orb_{{\phi}_G}(x)\;:\;orb_{{\phi}_H}(x)$) = ($orb_{{\phi}_G}(x)\;:\;orb_{{\phi}_K}(x)$) = ($orb_{{\phi}_K}(x)\;:\;orb_{{\phi}_H}(x)$); additionally, in case of $K{\cap}stab_{{\phi}_G}(x)$ = {1}, if ($orb_{{\phi}_G}(x)\;:\;orb_{{\phi}H}(x)$) and ($orb_{{\phi}_K}(x)\;:\;orb_{{\phi}_H}(x)$) are both finite, then ($orb_{{\phi}_G}(x)\;:\;orb_{{\phi}_H}(x)$) is finite; (2) If H is a cyclic subgroup of G and $stab_{{\phi}_H}(x){\neq}$ {1} for some $x{\in}X$, then $orb_{{\phi}_H}(x)$ is finite.

• Journal of the Korean Mathematical Society
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• v.42 no.1
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• pp.65-83
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• 2005

In this paper, we prove that the two well-known natural normalizations of Hamiltonian functions on the symplectic manifold ($M,\;{\omega}$) canonically relate the action spectra of different normalized Hamiltonians on arbitrary symplectic manifolds ($M,\;{\omega}$). The natural classes of normalized Hamiltonians consist of those whose mean value is zero for the closed manifold, and those which are compactly supported in IntM for the open manifold. We also study the effect of the action spectrum under the ${\pi}_1$ of Hamiltonian diffeomorphism group. This forms a foundational basis for our study of spectral invariants of the Hamiltonian diffeomorphism in [8].

• Applied Microscopy
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• v.8 no.1
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• pp.1-8
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• 1978

The aim of this research was to discover the action mechanism of various antituberculosis agents (isoniazid, paraaminosalicylic acid and streptomycin) which act on Mycobacteria tuberculosis hominis $H_{37}R_v$ and also to study the relationship of ultrastructural changes and the growth pattern in Mycobacterium tuberculosis hominis. The ultrastructural change was observed with an electron microscope while the growth pattern was studied through in vitro culture. The results are summarized as follows: 1. The ultrastructural changes found in the group treated only with isoniazid were the loss of nuclear materials and the appearence of electron dense granules. 2. In the group treated with paraaminosalicylic acid, thickening of nuclear filaments and meso some arrangement disorders were observed. 3. In the group treated with streptomycin, the ribosome particles appeared indistinct and the cytoplasm was denaturalized. 4. In the group cross treated with all three agents, all the ultrastructural changes mentioned above could be observed in the cell just as they appeared in the single treated groups. 5. In all of the single and in the crossly treated group, there were no significant changes note in the cell wall or cytoplasmic membranes of any of the cells observed. 6. In the cultural data in vitro, through the crossly treated group and single treated group. growth was observed in 3-5 weeks of culture.