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ON THE CHARACTERISTIC S-AUTOMATA

  • PARK CHIN HONG
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.779-786
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    • 2005
  • In this paper we shall discuss some properties derived from the characteristic S-automaton $_x(S)_M$, using the fact that ${\mu}_S$ is an equivalence relation on M. When $L_{m}:S{\rightarrow}M$ is a left translation and $L_{M}$ is a collection of $L_{m}'s$, we shall show $_x(S)_{M}{\cong}L_{M}$. If S is commutative, we have $_x(S)_{M{\times}N{\cong}L_{M{\times}N}$. Moreover when M and N are perfect, we have $L_{M{\times}N}{\cong}L_{M}{\times}L_{N}$ and $_x(S)_{M{\times}N}{\cong}_x(S)_{M}{\times}_x(S)_N$.

INTERVAL-VALUED FUZZY m-SEMIOPEN SETS AND INTERVAL-VALUED FUZZY m-PREOPEN SETS ON INTERVAL-VALUED FUZZY MINIMAL SPACES

  • Min, Won-Keun;Kim, Myeong-Hwan;Kim, Jung-Il
    • Honam Mathematical Journal
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    • v.31 no.1
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    • pp.31-43
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    • 2009
  • We introduce the concepts of IVF m-semiopen sets, IVF m-preopen sets, IVF m-semicontinuous mappings and IVF m-precontinuous mappings on interval-valued fuzzy minimal spaces. We investigate characterizations of IVF m-semicontinuous mappings and IVF m-precontinuous mappings and study properties of IVF m-semiopen sets and IVF m-preopen sets.

SOME CLASSES OF OPERATORS RELATED TO (m, n)-PARANORMAL AND (m, n)*-PARANORMAL OPERATORS

  • Shine Lal Enose;Ramya Perumal;Prasad Thankarajan
    • Communications of the Korean Mathematical Society
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    • v.38 no.4
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    • pp.1075-1090
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    • 2023
  • In this paper, we study new classes of operators k-quasi (m, n)-paranormal operator, k-quasi (m, n)*-paranormal operator, k-quasi (m, n)-class 𝒬 operator and k-quasi (m, n)-class 𝒬* operator which are the generalization of (m, n)-paranormal and (m, n)*-paranormal operators. We give matrix characterizations for k-quasi (m, n)-paranormal and k-quasi (m, n)*-paranormal operators. Also we study some properties of k-quasi (m, n)-class 𝒬 operator and k-quasi (m, n)-class 𝒬* operators. Moreover, these classes of composition operators on L2 spaces are characterized.

A COTORSION PAIR INDUCED BY THE CLASS OF GORENSTEIN (m, n)-FLAT MODULES

  • Qiang Yang
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.1
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    • pp.1-12
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    • 2024
  • In this paper, we introduce the notion of Gorenstein (m, n)-flat modules as an extension of (m, n)-flat left R-modules over a ring R, where m and n are two fixed positive integers. We demonstrate that the class of all Gorenstein (m, n)-flat modules forms a Kaplansky class and establish that (𝓖𝓕m,n(R),𝓖𝓒m,n(R)) constitutes a hereditary perfect cotorsion pair (where 𝓖𝓕m,n(R) denotes the class of Gorenstein (m, n)-flat modules and 𝓖𝓒m,n(R) refers to the class of Gorenstein (m, n)-cotorsion modules) over slightly (m, n)-coherent rings.

FACTORS INFLUENCING THE FORMATION OF INSOLUBLE GLUCAN BY STREPTOCOCCUS SOBRINUS (Streptococcus sobrinus의 비수용성 글루캔 합성에 영향을 미치는 인자)

  • Chung, Jin;Kim, Shin
    • Journal of the korean academy of Pediatric Dentistry
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    • v.27 no.1
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    • pp.90-97
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    • 2000
  • There are various kinds of factors associated with the formation of dental plaque in oral cavity such as nutrient molecules and chemical agents. The factors influencing the formation of insoluble glucan by Streptococcus sobrinus and its replication were examined on orthodontic wires. The results were as follows: 1. Insoluble glucan was well produced in the media initially adjusted at pH 7.0 than pH 5.5 or pH 8.5 like bacterial replication. 2. The synthesis of insoluble glucan and bacterial replication were significantly increased in the media containing 2.5% yeast extract. The formation of insoluble glucan was inhibited by 10 folds in the media containing 20% of sucrose than 1.25%, but the replication of bacteria was increased by 20 folds. 3. Insoluble glucan was significantly formed at a concentration of 1.0mM of calcium chloride, 40mM of potassium chloride, 0.1mM of magnesium chloride, while the replication of bacteria was little influenced by them regardless their concentration. 4. The formation of insoluble glucan and bacterial replication were significant in the media containing 10mM of sodium bicarbonate, but both were completely inhibited at 100mM or above. The production of insoluble glucan and the bacterial replication were largely decreased at 10mM of Tris while insoluble glucan was formed in abundance at 100mM of Tris. 5. The synthesis of insoluble glucan and the bacterial replication were inhibited at 10mM or above of sodium phosphate and potassium phosphate.

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Increasing Effect of Urban Instream flow in Cheongyang County by Heightening Chilgab Reservoir (칠갑지 숭상에 의한 청양 도심하천유량 증가 효과)

  • Noh, Jae-Kyoung
    • Proceedings of the Korea Water Resources Association Conference
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    • 2009.05a
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    • pp.2107-2111
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    • 2009
  • 인근의 저수지의 높이를 높여 도심구간의 하천 유량이 얼마나 증가되는지 확인하기 위해 지천 상류에 위치한 유역면적 65.8 $km^2$인 청양의 도심하천 위치에서 1966년부터 2007년까지 유량을 모의하고, 목표유량을 0.31 $m^3/s$로 설정하여 상류에 위치한 유역면적 17.5 $km^2$, 저수량 512만 $m^3$인 칠갑지의 숭상으로 방류량 증가에 따른 하천유량의 증가효과를 분석한 결과는 다음과 같다. 첫째, 칠갑지 없는 경우 청양 도심하천 유황은 연평균하여 풍수량 1.49 $m^3/s$, 평수량 0.44 $m^3/s$, 저수량 0.20 $m^3/s$, 갈수량 0.16 $m^3/s$로 분석되었으며, 목표유량 0.31 $m^3/s$보다 0.15 $m^3/s$ 적게 나타났다. 둘째, 칠갑지로부터 682 ha의 논에 관개용수를 공급하는 경우 용수공급량/유역면적은 453.9 mm, 단위유역 용수공급량/강우량 비율은 39.1 %, 용수공급량/유입량 비율은 96.5 %, 용수공급량/저수량 비율은 163.7 %, 유입량/저수량 비율은 226.5 %였으며, 이수안전도는 일단위 52.4 %, 일단위 96.9 %였다. 셋째, 현재 규모의 칠갑지 운영을 고려한 청양 도심하천의 유황은 연평균하여 풍수량 1.40 $m^3/s$, 평수량 0.42 $m^3/s$, 저수량 0.19 $m^3/s$, 갈수량 0.16 $m^3/s$로 분석되어 갈수량은 칠갑지가 없는 경우와 같게 나타났다. 넷째, 칠갑지 규모를 5 m 더 높인 경우 청양 도심하천의 유황은 풍수량 1.40 $m^3/s$, 평수량 0.43 $m^3/s$, 저수량 0.24 $m^3/s$, 갈수량 0.20 $m^3/s$로 분석되어, 목표유량 0.31 $m^3/s$보다 0.11 $m^3/s$ 적게 나타났다. 다섯째, 칠갑지 규모를 10 m 더 높인 경우 청양 도심하천의 유황은 풍수량 1.42 $m^3/s$, 평수량 0.47 $m^3/s$, 저수량 0.27 $m^3/s$, 갈수량 0.23 $m^3/s$로 분석되어, 목표유량 0.31 $m^3/s$보다 0.08 $m^3/s$ 적게 나타났다. 여섯째, 칠갑지 규모를 15 m 더 높인 경우 청양 도심하천의 유황은 풍수량 1.43 $m^3/s$, 평수량 0.47 $m^3/s$, 저수량 0.27 $m^3/s$, 갈수량 0.23 $m^3/s$로 분석되어, 10 m 높인 경우와 같게 나타났다. 결과적으로 칠갑지 규모를 높여 하천유량의 증가효과는 한계가 있는 것으로 밝혀졌으며 최적규모 결정을 위해서는 추가 연구가 필요하며, 부족유량을 충족하기 위해서는 다른 방법이 추가로 필요한 것으로 나타났다.

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A Study on the Estimation of Watter Loss Rates in Irrigation Canals (灌漑用水路의 水路損失率 算定에 關한 硏究)

  • Koo, Ja-Woong;Lee, Ki-Chun;Kim, Jae-Young;Lee, Jae-Young
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.24 no.2
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    • pp.56-66
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    • 1982
  • This study was carried out in order to estimate water losses in irrigation canals, which may be used to evaluate the water requirement for irrigation projects. The conveyance losses were measured by the inflow-outflow method, the seepage losses were measured by the ponding method, and the operation losses in the course of irrigation were calculated by comparing the two kinds of losses. The results obtained in this experiment were as follows; 1. Conveyance losses per unit area of wetted perimeter by the main irrigation canal, the secondary irrigation canal and the tributary irrigation canal, were 1.399${\times}10^{-5}m^3/sec/m^2$, 5.154${\times}10^{-5}m^3/sec/m^2$, and 2.67${\times}10^{-5}m^3/sec/m^2$ respectively in the Goong-sa area. And they were 1.934${\times}10^{-5}m^3/sec/m^2$, 2.149${\times}10^{-5}m^3/sec/m^2$, and 4.558${\times}10^{-5}m^3/sec/m^2$ respectively in the Seong-dug area. 2. Seepage losses per unit area of wetted perimeter by the secondary irrigation canal and the tributary irrigation canal, were 2.180${\times}10^{-6}m^3/sec/m^2$ and 2.168${\times}10^{-6}m^3/sec/m^2$ in the Goong-sa area, 1.150${\times}10^{-6}m^3/sec/m^2$ and 1.084${\times}10^{-6}m^3/sec/m^2$ in the Seong-dug area respectively. 3. Operation losses per unit area of wetted perimeter by the secondary irrigation canal and the tributary irrigation canal, were 4.936${\times}10^{-5}m^3/sec/m^2$ and 2.453${\times}10^{-5}m^3/sec/m^2$ in the Goong-sa area, 2.034${\times}10^{-5}m^3/sec/m^2$ and 4.450${\times}10^{-5}m^3/sec/m^2$ in the Seong-dug area respectively. 4. Conveyance, seepage and operation losses in the Goong-sa area were 6.7%, 94.6%, and 14.0% more than those in the Seong-dug area. Operation losses amount to about 17 times as much as seepage losses in the Goong-sa area and about 29 times in the Seong-dug area. 5. The seepage losses depend much on the soil texture, ranging from 7.437${\times}10^{-7}m^3/sec/m^2$ to 2.430${\times}10^{-6}m^3/sec/m^2$. 6. Water loss rates in the main irrigatin canal, the secondary irrigation canal and the tributary irrigation canal, were estimated as 8.49%, 37.27% and 9.81% respectively in the Goong-sa area. And they were estimated as 15.10%, 32.67% and 13.78% respectively in the Seong-dug area.

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Effect of Rapid Rotating Shift Work on the Urinary $Na^+,K^+,Cl^-$ (빠른 교대근무가 요중 $Na^+,K^+,Cl^-$의 배설에 미치는 영향)

  • Min, Soon;Moon, Dae-Soo;Im, Wook-Bin
    • Journal of Korean Academy of Nursing
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    • v.28 no.4
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    • pp.869-880
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    • 1998
  • In order to investigate of the effects of rapid rotating shift work on physiological stress, the activities of urinary Na$^{+}$, $K^{+}$, Cl$^{[-10]}$ were measured in 14 rotational shift nurses, during day shifts(8AM-4PM, n=4), evening shifts(4PM-l2MN, n=5), and night shifts(12MN-8AM, n=5) in hospital twenty students attending nursing college a used as a control group. Urine specimens were collected in 30 minutes before and after work on the second day of shift work. In day shift nurses, Na$^{+}$ activity was 137mM at 8AM and increased to 206mM at 4PM, whereas $K^{+}$ activity was 42mM at 8AM and no significant change at 4PM. Cl$^{[-10]}$ activity was changed from 234mM to 344mM at 4PM at 8AM. In the evening shift, Na$^{+}$ activity was 117mM at 4PM and 140mM at 12MN, $K^{+}$ activity was 22mM and 32mM, respectively. Cl$^{[-10]}$ activity was 169mM and changed to 270mM. During the night shift, Na$^{+}$ activity was 128mM at 12MN and changed to 161mM at 8AM, $K^{+}$ activity was 42mM at 12MN and 8AM, and Cl$^{[-10]}$ activity was from 303mM and changed to 355mM. In general, the urinary ion activities seemed to increase after work, however there were no significant changes in ion activities except the Na$^{+}$ increase in day shift. The mean of the activities of $K^{+}$ and Cl$^{[-10]}$ before and after work during the day and night shift were significantly higher than those in control group (P<0.05). $K^{+}$ activities were also higher than that of evening shift(P<0.05). However, there was no difference in Na$^{+}$ activity among the control group and three shifts. There was a significant relationship among urinary Na$^{+}$, Cl$^{[-10]}$ and $K^{+}$ in the control group and rotating shift nurses except between Na$^{+}$ and $K^{+}$ in shift. The relationship between Na$^{+}$ and Cl$^{[-10]}$ was low in shift work and there was no significant relationship between Na$^{+}$ and $K^{+}$ in shift, suggesting that the active regulation $K^{+}$ and/or Na$^{+}$ in response to stress upon the shift work disruped the ratio of urinary Na$^{+}$ to $K^{+}$ and also lowered the relationship between $K^{+}$ and Cl$^{[-10]}$ . These results suggest that nurses working the day shift were overloaded and under stress, and the night shift interfered with the physiological rhythm of the nurses.red with the physiological rhythm of the nurses.

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