• Title/Summary/Keyword: %24M_1%24-spaces

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COMPARISON THEOREMS FOR THE VOLUMES OF TUBES ABOUT METRIC BALLS IN CAT(𝜿)-SPACES

  • Lee, Doohann;Kim, Yong-Il
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.3
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    • pp.457-467
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    • 2011
  • In this paper, we establish some comparison theorems about volumes of tubes in metric spaces with nonpositive curvature. First we compare the Hausdorff measure of tube about a metric ball contained in an (n-1)-dimensional totally geodesic subspace of an n-dimensional locally compact, geodesically complete Hadamard space with Lebesgue measure of its corresponding tube in Euclidean space ${\mathbb{R}}^n$, and then develop the result to the case of an m-dimensional totally geodesic subspace for 1 < m < n with an additional condition. Also, we estimate the Hausdorff measure of the tube about a shortest curve in a metric space of curvature bounded above and below.

STABILITY OF DERIVATIONS ON PROPER LIE CQ*-ALGEBRAS

  • Najati, Abbas;Eskandani, G. Zamani
    • Communications of the Korean Mathematical Society
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    • v.24 no.1
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    • pp.5-16
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    • 2009
  • In this paper, we obtain the general solution and the generalized Hyers-Ulam-Rassias stability for a following functional equation $$\sum\limits_{i=1}^mf(x_i+\frac{1}{m}\sum\limits_{{i=1\atop j{\neq}i}\.}^mx_j)+f(\frac{1}{m}\sum\limits_{i=1}^mx_i)=2f(\sum\limits_{i=1}^mx_i)$$ for a fixed positive integer m with $m\;{\geq}\;2$. This is applied to investigate derivations and their stability on proper Lie $CQ^*$-algebras. The concept of Hyers-Ulam-Rassias stability originated from the Th. M. Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72(1978), 297-300.

CHARACTERIZATION OF MINKOWSKI PYTHAGOREAN-HODOGRAPH CURVES

  • Lee, Sun-Hong;Kim, Gwang-Il
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.521-528
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    • 2007
  • We present a new proof of the characterization theorem for Minkowski Pythagorean-hodograph curves in the Minkowski spaces $\mathbf{R}^{n+1,m}$. For an polynomial curves $\mathbf{s}(t)=(x_1(t),...,\;x_{n+m}(t))$, we also find Minkowski Pythagorean-hodograph curves $\mathbf{r}(t)=(x_0(t),\;x_1(t),...,\;x_{n+m}(t))$. In case m=0, Minkowski Pythagorean-hodograph curves become Pythagorean-hodograph curves in the Euclidean spaces $\mathbf{R}^{n+1}$ and Theorems in this paper hold for these Pythagorean-hodograph curves.

The Study on Thermal Characteristic of the Balcony with Natural Ventilation System (자연환기시스템을 부착한 발코니의 열적 특성에 관한 연구)

  • Cho Sung-Woo
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.17 no.4
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    • pp.347-354
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    • 2005
  • This paper compared vertical temperature distribution between the existing balcony model without ventilator facilities and the improved balcony model with ventilator facilities using differential equation. As the air inside of balcony is heated by solar radiation this heated air is not exhausted in the existing balcony, remaining stagnant. The air temperature distribution was $26.7{\sim}29.3^{\circ}C$ in balcony without natural ventilator system. This heated air affected the rising air temperature of adjacent spaces such as living room and bedroom in the existing balcony. But, as the heated air inside of the improved balcony model is exhausted through natural ventilator facilities in summer, the air temperature in balcony has fallen. The air temperature distribution in improved balcony was $24.8{\sim}26.7^{\circ}C$ for the inlet air speed of 1 m/s and $24.6{\sim}26.7^{\circ}C$ for the inlet air speed of 3 m/s. The energy consumption of the improved balcony is 2.5 times less than of the existing balcony. The improved balcony with the closed damper makes a roll as the existing balcony in the aspect of the heating effect. When the heated air in the improved balcony is supplied, the air temperature is raised and the ventilation effect in adjacent spaces was improved.

A Study on the Utilization of Interior Lanscape Plant through the Investigation of Image -Focused on the Tall Trees- (이미지 조사를 통한 자생수종 활용에 관한 연구 -상층목을 중심으로-)

  • 조현진;방광자;이남현;이영현
    • Journal of the Korean Institute of Landscape Architecture
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    • v.25 no.3
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    • pp.210-221
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    • 1997
  • This study was conducted to investigte the visual preference and response between introduced and native trees for utilization of the south native trees in interior space. 1. The intensity of illumination was below 500lux at 24 buildings of interior spaces surveyed. Generally the temperature was 24~$26^{\circ}C$, and humidity was 60~70%. 2. Total number of introduced tree species were 9 familiar, 16 genus, 18 species, especially palm genus were the largest tree among them at these surveyed interior spaces, but native trees were only 2 species. The introduced tree of 2 to 3m in height was 46 percent, and the case of 1.2 to 2m was 42 percent. 3. The mean of visual preference was the highest at Rhapis excelsa and howeia belmoreana, and followed with Neolitsea sericea, Daphniphllum macropodum, Listsea japonicum. In the mean of visual preference for selected tree groups, native tree was not different as compared with introduced tree. 4. Visual image factor of the native and introduced trees at interior spaces was classified by individual factor and emotional factor. These 2 factors were shown 66.5% total variance. The native tree was strongly recognized on individual factor, as , and introduced tree was also strongly recognized on emotional factor. 5. In the analysis of visual preference and image, a difference between the selected groups of the introduced and native trees were not shown significant, and the introduced trees were similar to the native trees on the visual image. This result was as follow There was an analogy between Cinnamomum camphora, Ligustrum japonicum and Ficus retusa, Ficus benjamina. There is an analogy between Castanopsis cuspidata var. sieboldii, Cinnamomum japonicum and Ficus retusa, Ficus benjamina. There was an analogy between Elaeocarpus sylvestris var. ellipticus, Fatsia japonica and Rhapis excelsa, Howeia belmoreana. There was an analogy between Neolitsea sericea, Daphniphyllum macropo여, Listsea japonica and Rhapis excelsa, Howeia belmoreana. There was an analogy between Elaeocarpus sylvestris var. ellipticus, Fatsia japonica and Dracaena fragranse, Ficus elastica, Monstera deliciosa.

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Fine Structure of Book Lung in the Wolf Spider, Pardosa astrigera (별늑대거미 (Pardosa astrigera L. Koch) 서폐의 미세구조)

  • Lim, Hyoung-Soo;Moon, Myung-Jin
    • Applied Microscopy
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    • v.24 no.2
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    • pp.1-11
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    • 1994
  • The book lung in the wolf spider, Pardosa astrigera was consisted of a series of flattened triangular-shaped air sacs, stacked with about 70 sheets, and was located in the ventrolateral region of opisthosoma. Each hemolymph spaces (average $8{\mu}m$ in thickness) surrounded by the air sacs (average $6{\mu}m$ in thickness). The air sacs was supported by cylindrical cuticular spikes of microfibril bundles. Epithelial cell processes surrounded the hemolymph spaces. The nuclei of the epithelial cells were concentrated near the atrium. In the middle portion of air sac, the epithelial cells formed pillars across the hemolymph spaces and spot desmosome and zonula adherens were seen between the plasma membranes. In the hemolymph space of this spider, granular hemocytes (average diameter $8{\mu}m$) were the most dominant type of hemocytes. In the medial sinus, the hemolymph flow between the air sacs of a paired book lungs and then flow out of the lung vein. The air comes in the atrium through the ventral lung slit and makes a tidal wave in and out of the air sacs.

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A Comparative Study on the Provision of Open Space by Local Government in Metropolitan Region Between Korea and Australia. - in the case of Seoul and Sydney Metropolitan Areas- (한국과 호주의 지방자치단체의 대도시지역에 있어 녹지공급에 관한 비교 연구 -서울과 시드니를 중심으로-)

  • 오병태
    • Journal of the Korean Institute of Landscape Architecture
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    • v.24 no.3
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    • pp.133-149
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    • 1996
  • The aim of this study is to compare open space planning between Australia and Korea by Local Governments Areas. Open space planning is carried out at the state and municipal level in Australia, but by metropolitan city government in Korea. This study is structured by reviewing the presemt phenomena of provision of open space in Sydney and Seoul, By measuring disparity in terms of open spaces by L. G. A. s an by comparing planning approaches between two cities, for example policy, government standards, government administration system in open space management. In this paper, the provision of parks in Sydney and Seoul are comparatively examined and geographically mapped, and multiple repression analysis is applied to measure the residuals from the line of equality. The results of this study show that, 1) During the last 1 dacade from '80 and '90. Sydney has increased the quantity of open spaces from ratio of 19.11ha/1000 to 22.33ha/1000 of parks, however Seoul decreased it by the ratio of 12.21$m^2$/person to 1012$m^2$ per person. 2) Sydney has more programs, such as Greenspace program, Metropolitan open space program etc. to increase and to distribute open spaces equally rather than Seoul which has less open spaces. 3) There exists patterned inequality in terms of open space provision in inner city and suburb between Sydney and Seoul. 4) Seoul requires more active polices to increase open spaces like Greenacre Program of New Jerrsey State, Double Open Space Pland of Tokyo or Green Space Program of Sydney.

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Prediction of Effect on Outside Thermal Environment of Building and Green Space Arrangement by Computational Fluid Dynamic (CFD 시뮬레이션을 이용한 건축물 및 녹지배치가 외부 열환경에 미치는 영향 예측)

  • Kim, Jeong-Ho;Son, Won-Duk;Yoon, Yong-Han
    • Journal of Environmental Science International
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    • v.21 no.1
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    • pp.69-81
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    • 2012
  • This study forecasts changes in thermal environment and microclimate change per new building construction and assignment of green space in urban area using Computational Fluid Dynamics(CFD) simulation. The analysis studies temperature, humidity and wind speed changes in 4 different given conditions that each reflects; 1) new building construction; 2) no new building construction; 3) green spaces; and 4) no green spaces. Daily average wind speed change is studied to be; Case 2(2.3 m/s) > Case 3. The result of daily average temperate change are; Case 3($26.5^{\circ}C$) > Case 4($24.6^{\circ}C$) > Case 2($23.9^{\circ}C$). This result depicts average of $2.5^{\circ}C$ temperature rise post new building construction, and decrease of approximately $1.8^{\circ}C$ when green space is provided. Daily average absolute humidity change is analysed to be; Case 3(15.8 g/kg') > Case 4(14.1 g/kg') > Case 2(13.5 g/kg'). This also reveals that when no green spaces is provided, 2.3 g/kg' of humidity change occurs, and when green space is provided, 0.6 g/kg change occurnd 4(1.8 m/s), which leads to a conclusion that daily average wind velocity is reduced by 0.5 m/s per new building construction in a building complex.

Study on Automation for Verification of Naval Ship's Operational Scenarios using Simulation: Focusing on Crew Messroom Case (시뮬레이션을 이용한 함정 운용 시나리오 검증 자동화 연구: 승조원을 고려한 Crew Messroom 운용성 검증을 중심으로)

  • Oh, Dae-Kyun;Lee, Dong-Kun
    • Journal of Ocean Engineering and Technology
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    • v.27 no.1
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    • pp.24-30
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    • 2013
  • The Korea Navy has been making constant efforts to apply M&S (modeling and simulation) to naval ship development, and the generalization of M&S for ship development is a trend. M&S for ship design is used for the V&V (verification and validation) of its design and operation, including design verification and ergonomic design that considers the crew using the Naval Ship Product Model. In addition, many parts of this M&S are repeatedly accomplished regardless of the kinds of ships. This study aims to standardize M&S, which repeatedly applies similar verifications for operation scenarios. A congestion assessment simulation for the major spaces of ships was the subject of the standardization based on the leading research results of various researchers, and a simulation automation solution was suggested. An information model using XML was proposed through the simulation automation concept, and a prototype system based on it was implemented. The usability was shown through a case study that verified the operability performance of the crew messroom.