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SECOND CLASSICAL ZARISKI TOPOLOGY ON SECOND SPECTRUM OF LATTICE MODULES

  • Girase, Pradip;Borkar, Vandeo;Phadatare, Narayan
    • Korean Journal of Mathematics
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    • v.28 no.3
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    • pp.439-447
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    • 2020
  • Let M be a lattice module over a C-lattice L. Let Specs(M) be the collection of all second elements of M. In this paper, we consider a topology on Specs(M), called the second classical Zariski topology as a generalization of concepts in modules and investigate the interplay between the algebraic properties of a lattice module M and the topological properties of Specs(M). We investigate this topological space from the point of view of spectral spaces. We show that Specs(M) is always T0-space and each finite irreducible closed subset of Specs(M) has a generic point.

A Research of the Profit Module of General Classroom in according to Decreasing the number of Elementary School Classroom's student (초등학교 학급당 학생수 감소에 따른 일반교실의 적정 모듈에 관한 연구)

  • Yoon, Hee-Cheol
    • The Journal of Sustainable Design and Educational Environment Research
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    • v.17 no.1
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    • pp.33-39
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    • 2018
  • The number of elementary school classroom's students. It will be decreased to 21.1 OECD even and furthemore to 19.8 in 2030. Therfore fore the time being the number of elementary school classroom's students will be sustained in 20~22. But nowadays the classroom's area which is fitted the number of 30 is too big compare with the number of 20~22. This reserch is finding the profit module of elementary school's classroom of the number of 20~20. Using one student's unit and various displays of class by teaching methods, I found the conclusions as follows. 1st, the horizontal length of center line is 7,100~7,500 and the vertical length of center line is 7,000~8,000 in the classroom's area of a team of 2. 2nd, if you make adjustment those lenghts to 30cm module, horizontal length is transfered to 7.2m, 7.5m, and vertical length is transferred to 7.2m, 7.5m, 7.8m. Therefore unit classroom's module are $7.2m{\times}7.2m$, $7.5m{\times}7.5m$ in square, and $7.2m{\times}7.5m$, $7.2m{\times}7.8m$, $7.5m{\times}7.8m$ in rectangular. 3rd, the areas of modules are $7.2m{\times}7.2m(51.84m^2)$, $7.5m{\times}7.5m(56.25m^2)$, $7.2m{\times}7.5m(54m^2)$, $7.2m{\times}7.8m(56.16m^2)$, $7.5m{\times}7.8m(58.5m^2)$. Therfore th area of module is from $51.84m^2$ to $58.5m^2$ compared to nowadays' classrooms.

Reduction of Nitro and Nitroso Compounds by Glucose and Baker's Yeast (Glucose와 Baker's Yeast에 의한 니트로와 니트로소 화합물의 환원반응)

  • 김경순;박종옥류병호최희숙
    • KSBB Journal
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    • v.11 no.6
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    • pp.623-629
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    • 1996
  • m-Bromonitrobenzene was reduced to m-bromoaniline with a 86∼91% yield by either baker's yeast (Sigma type I) or glucose and baker's yeast in conjunction with glucose. Nitrosobenzene was reduced to aniline in good yields using baker's yeast(Sigma type I) only.

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THE EFFECT OF STREPTOCOCCUS ORALIS ON THE FORMATION OF ARTIFICIAL PLAQUE (Streptococcus oralis의 인공치태 억제효과에 대한 연구)

  • Kim, Seon-Mi;Yang, Kyu-Ho;Chung, Sung-Su;Oh, Jong-Suk
    • Journal of the korean academy of Pediatric Dentistry
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    • v.26 no.1
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    • pp.77-87
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    • 1999
  • This study was performed to evaluate the effect of Streptococcus oralis on the formation of artificial plaque and the replication of Streptococcus mutans. S. mutans was incubated alone and in the combination with S. oralis in the beaker with wires. The produced plaque weight and the viable cells of S. mutans were compared between those cultures. Various factors were studied about the effect on the formation of plaque and the replication of S. mutans. Followings are the results. 1. Lower amount of plaque was produced and fewer cells of S. mutans were replicated at the mixed culture of S. mmutans and S. oralis than S. mutans alone. 2. When 10 mM glucose was added, the plaque weight was increased in the culture of S. mutans alone. But in the mixed culture of S. mutans and S. oralis, the plaque weight was not increased when 10 mM of glucose was added. 3. When 10 mM fructose was added, the plaque weight was increased in the culture of S. mutans alone or combined S. mutans and S. oralis. 4. In the mixed culture of S. mutans and S. oralis with different concentration, the more S. oralis exist, the less plaque and the fewer viable cells of S. mutans were observed. 5. The plaque weight and the viable cells of S. mutans were more decreased in the mixed culture of S. mutans and S. oralis than S. mutans alone after 12 hours. 6. When Staphylococcus epidermidis consuming hydrogen peroxide was added to the mixed culture of S. mutans and S. oralis, the plaque weight and the viable cells of S. mutans were increased. These results indicate that S. oralis inhibited the formation of plaque and the replication of S. mutans, and this may result from the formation of hydrogen peroxide S. oralis.

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Evaluation of Physicochemical Properties and Biological Activities of Steamed and Fermented Deodeok (Codonopsis lanceolata) (증숙 및 발효 더덕의 이화학적 특성 및 생리활성 변화)

  • Jung, Lae-Seung;Yoon, Won-Byung;Park, Sung-Jin;Park, Dong-Sik;Ahn, Ju-Hee
    • Korean Journal of Food Science and Technology
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    • v.44 no.1
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    • pp.135-139
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    • 2012
  • This study was designed to evaluate the physicochemical properties and biological activities of steamed and fermented Codonopsis lanceolata. The treatments included NS-NF (non-steamed and non-fermented), NS-LF (non-steamed and L. rhamnosus fermented), S-NF (steamed and non-fermented), and S-LF (steamed and L. rhamnosus fermented). Total polyphenol amounts of S-NF and S-LF were significantly increased to more than 26 mg GAE/g. The highest DPPH scavenging activities were observed for S-NF and S-LF, showing $EC_{50}$ values of 0.8 and 0.6 mg/mL, respectively. The growths of Staphylococcus aureus, Listeria monocytogenes, Salmonella Typhimurium, and Shigella boydii were effectively inhibited by S-LF (MIC < 9 mg/mL). The NS-LF and S-LF ($EC_{50}$ <6 mg/mL) effectively inhibited ${\alpha}$-Glucosidase and tyrosinase activities compared to NS-NF ($EC_{50}$ <17 mg/mL). The S-LF exhibited the highest acetylcholinesterase (AChE) inhibitory activity ($IC_{50}$ <32 mg/mL). Therefore, the results suggest that the application of the steaming process combined with probiotic fermentation can effectively enhance the biological and pharmacological activities in C. lanceolata.

Inferential Structure and Reality Problem in Diagnosis of Oriental Medicine (한의 진단의 추론형식과 실재성)

  • Park, Geong-Mo;Choi, Seong-Hoon;Ahn, Gyu-Seok
    • Journal of The Association for Neo Medicine
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    • v.2 no.1
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    • pp.55-84
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    • 1997
  • Inferential structure and reality problem is a serious issue to O.M.(oriental medicine). The study will analyze this issue through a philosophical and historical comparative study of W.M.M(Western modern medicine) and O.M. First, I presuppose some basic ideas. The first is the division of the 'the philosophy of medicine' and 'the medicine itself'. Second, there is a 'visibility' that discriminate between 'the abstractive concept' and 'the concrete object' in diagnostic terminology. The third is the separation of disease, the entity and disease, the phenomenon. Finally, the distinction between the cause of disease and the nature of disease. Through these basic concepts, this study will analyze O.M's diagnostic methodology, 'Pattern identification of the S.A.S(sign and symptom)'. The results are follows: 1. O.M's views disease as a phenomenon. So, the S.A.S, which is visible, is the disease itself. Tough the analysis and inference of the S.A.S, 證(zheng) the essence is derived. 2. 證(zheng) can be considered as 'the abstractive concept' reflecting the essence of a disease. 3. 證(zheng) is not arrived through causal sequence reasoning but rather by analogical reasoning. 4. 證(zheng) is 'the non-random correlative combination of S.A.S', pattern. These patterns secure the abstractive deduction in reality. that is, The causality, the positivism, the view of disease as entity, and anatomical knowledge are the traits peculiar to W.M.M. But, these properties can not be applied universally to every medical systems. Also, these properties do not indicate the superiority or inferiority of any medical system. 5. 證(zheng) summarizes the patients condition simultaneously with the S.A.S. However, 證(zheng) doesn't necessarily indicate the knowledge about the actual internal organ. That is, Early in O.M.'s history, the diagnostic terminologies including 證(zheng) were analogical reflections of a naive knowledge of internal organs and external environmental factors. Later, the naive knowledge in 證(zheng) changed int new nature, an abstractive concept. The confusion of the concept of disease, the indiscriminate acceptance of Western anatomical knowledge, and the O.M.'s theoretical evolution et are the challenge facing modern O.M. To find solutions, this study looks at the sequence of the birth of W.M.M. and then compares it's system with the O.M. system. The confusion of the concept of disease, the indiscriminate acceptance of Western anatomical knowledge, and the O.M.'s theoretical evolution et are the challenge facing modern O.M. To find solutions, this study looks at the sequence of the birth of W.M.M. and then compares it's system with the O.M. system. It is recommended that O.M. diagnostics should pay close attention to the ambiguity of the diagnostic methodology in order to further development. At present time, the concept and the system peculiar to O.M. can not be explained by common language. but O.M.'s practitioner can not persist in this manner an: longer. Along with the internal development of O.M., the adjustment of O.M.'s diagnostic terminology needs to be adopted.

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BICOMPRESSIBLE SURFACES AND INCOMPRESSIBLE SURFACES

  • Saito, Toshio
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.2
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    • pp.515-520
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    • 2019
  • We give new evidence that "complicated" Heegaard surfaces behave like incompressible surfaces. More precisely, suppose that a closed connected orientable 3-manifold M contains a closed connected incompressible surface F which separates M into two (connected) components $M_1$ and $M_2$. Let S be a Heegaard surface of M. Our result is that if the Hempel distance of S is at least four, then S is isotoped so that $S{\cap}M_i$ is incompressible for each i = 1, 2.

Seismic Refraction Analysis to Estimate the Depth to the Bedrock: Case Study (기반암 깊이 도출을 위한 굴절법 탄성파 자료 분석: 사례연구)

  • Lee, Doo-Sung
    • Geophysics and Geophysical Exploration
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    • v.8 no.4
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    • pp.237-242
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    • 2005
  • A seismic refraction study in estimation of depth to the bedrock demonstrates that 1) the average velocity in the medium is about 250 m/s in the surface layer (< 4 m), 2,500 m/s in the weathered formation, and greater than 3,000 m/s in the bedrock, 2) the depth to the deepest reflector assumed to be the bedrock is about 17 m; however, according to the cores collected in a borehole in study area, the bedrock (granite) occurred at depth 25 m, 3) according to the density and velocity logging, at depth 17 m, a measurable velocity and density increase are observed, and 4) the velocity of the weathered formation is relatively high and therefore, the acquisition offsets ($70{\sim}80m$) are turned out not to be long enough to record the refracted signal from the bedrock at depth 25 m as first arrivals.

Digital Surface Model Generation using Aerial Lidar Data and Ground Control Point Acquisition (항공 라이다 데이터를 이용한 공간해상도별 수치표면모형 제작 및 지상기준점 획득 가능성 분석)

  • Kim Kam-Rae;Hwang Won-Soon;Lee Ho-Nam
    • Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
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    • 2006.04a
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    • pp.485-490
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    • 2006
  • In this study, the Digital Surface Models of various spatial resolutions were constructed using LIDAR point data on Digital Photogrammetric System. Then, the accuracies of each DSM's were evaluated using GPS surveying data. And also, observable features were classified and their accuracies were evaluated to verify the availability for Ground Control Point. On Socet Set, Digial Photogrametric System 5 DSM's of which spatial resolutions were 0.15m, 0.5m, 1.0m, 2.5m and 5.0m were constructed and the accuracies of eahc DSM's evaluated in RMSE. The RMSE's of each DSM's were 0.03m, 0.05m, 0.08m, 0.12m and 0,19m. The building feature was observable in DSM's of which spatial resolutions were 0.15m, 0.30m and 0.50m. On the contrary, it could hardly be observed in those of other spatial resolutions. In comparison with the digital map at the scale of 1:1,000, the DSM at the spatial resolution of 0.lim was shifted horizaltally by 0.6m-0.7m of RMSE in each X, Y direction. Therefore, GCP of which horizontal RMSE is better than 1m can be obtained from the DSM at the spatial resolution of 0.15m, of which vertical RMSE is 0.03m-0.19m as the RMSE of DSM. This point cannot be used in aerial triangulation of cartography but can be used for GCP in modeling of satellite image at the moderate resolution.

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