• Title/Summary/Keyword: m-point

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A PROXIMAL POINT ALGORITHM FOR SOLVING THE GENERAL VARIATIONAL INCLUSIONS WITH M(·, ·)-MONOTONE OPERATORS IN BANACH SPACES

  • Chen, Junmin;Wang, Xian;He, Zhen
    • East Asian mathematical journal
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    • v.29 no.3
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    • pp.315-326
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    • 2013
  • In this paper, a new monotonicity, $M({\cdot},{\cdot})$-monotonicity, is introduced in Banach spaces, and the resolvent operator of an $M({\cdot},{\cdot})$-monotone operator is proved to be single valued and Lipschitz continuous. By using the resolvent operator technique associated with $M({\cdot},{\cdot})$-monotone operators, we construct a proximal point algorithm for solving a class of variational inclusions. And we prove the convergence of the sequences generated by the proximal point algorithms in Banach spaces. The results in this paper extend and improve some known results in the literature.

PRIMITIVE CIRCLE ACTIONS ON ALMOST COMPLEX MANIFOLDS WITH ISOLATED FIXED POINTS

  • Jang, Donghoon
    • East Asian mathematical journal
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    • v.35 no.3
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    • pp.357-363
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    • 2019
  • Let the circle act on a compact almost complex manifold M with a non-empty discrete fixed point set. To each fixed point, there are associated non-zero integers called weights. A positive weight w is called primitive if it cannot be written as the sum of positive weights, other than w itself. In this paper, we show that if every weight is primitive, then the Todd genus Todd(M) of M is positive and there are $Todd(M){\cdot}2^n$ fixed points, where dim M = 2n. This generalizes the result for symplectic semi-free actions by Tolman and Weitsman [8], the result for semi-free actions on almost complex manifolds by the author [6], and the result for certain symplectic actions by Godinho [1].

Design and analysis of a mode size converter composed of periodically segmented taper waveguide (주기적으로 분리된 광도파로로 구성된 모드 크기 변환기의 설계 및 분석)

  • 박보근;정영철
    • Korean Journal of Optics and Photonics
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    • v.15 no.1
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    • pp.22-27
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    • 2004
  • In this paper, we designed a mode size converter to reduce coupling loss between optical waveguide and single mode fiber. The proposed mode converter is composed of periodically segmented tapered waveguide to achieve small size and easy fabrication. For the optimally designed mode size converter at 1550nm, the taper length is 500(equation omitted), the segmentation period 5ß:, the waveguide width of fiber contact section 1.3ß:, and duty cycle 0.95. The coupling loss of the optimized mode size converter is 0.33㏈/point, which is 1.27㏈/point lower than that without the mode size converter.

Error Rate Analysis according to Setting of the Reference Point for Calculating the Flood Runoff that using Surface Image Velocimeter (SIV) (표면영상유속계(SIV)를 활용한 홍수유출량 산정 시 참조점 설정에 따른 오차율 분석)

  • Kim, Yong-Seok;Yang, Sung-Kee
    • Journal of Environmental Science International
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    • v.25 no.6
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    • pp.799-815
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    • 2016
  • In this study, according to the reference setting based on the runoff video of 9:00 where the highest water level of 3.94 m has been recorded during the runoff of Cheon-mi Stream in Jeju Island by the attack of Typhoon no. 16 Sanba on September $17^{th}$, 2012, the error rate of long-distance and short-distance velocimetry and real-distance change rate by input error have been calculated and the input range value of reference point by stream has been suggested. In the reference setting process, if a long-distance reference point input error occurs, the real-distance change rate of 0.35 m in the x-axis direction and 1.35 m in y-axis direction is incurred by the subtle input error of 2~11 pixels, and if a short-distance reference point input error occurs, the real-distance change rate of 0.02 m in the x-axis direction and 0.81 m in y-axis direction is incurred by the subtle input error of 1~11 pixels. According to the long-distance reference point setting variable, the velocity error rate showed the range of fluctuation of at least 14.36% to at most 76.06%, and when calculating flux, it showed a great range of fluctuation of at least 20.48% to at most 78.81%.

Acupuncture Treatment for T.M.D. (악관절증의 침치료에 대한 고찰 (근육장애을 중심으로))

  • Kim, Suk;Kim, Chang-Hwan
    • The Journal of Korean Medicine
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    • v.16 no.1 s.29
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    • pp.36-50
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    • 1995
  • Acupuncture is so effective and simple to use in the pain and dysfunction syndrome of TMD. Acupuncture treatment is a point-specific. So, the selection of acupuncture point is very important. According to the traditional meridian theory, we select the points; local points around TMJ and mastication muscles(ST6, ST7, GB20, GB21) and remote point(LI4). And if there is another pain, one or two other points are added. Both neural and humoral mechanism play an important role in acupuncture analgesia. The discovery of spinal gate mechanisms shows somatic stimulation can induce pain inhibition. Humoral mechanism has been established from the discovery of opioid receptors and endogenous opioids. Acupuncture induces a relaxation in the patient, which further decreases the muscle tension.

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Impact of Emissions from Major Point Sources in Chungcheongnam-do on Surface Fine Particulate Matter Concentration in the Surrounding Area (충남지역 대형 점오염원이 주변지역 초미세먼지 농도에 미치는 영향)

  • Kim, Soontae;Kim, Okgil;Kim, Byeong-Uk;Kim, Hyun Cheol
    • Journal of Korean Society for Atmospheric Environment
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    • v.33 no.2
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    • pp.159-173
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    • 2017
  • The Weather Research and Forecast (WRF) - Community Multiscale Air Quality (CMAQ) system was applied to investigate the influence of major point sources located in Chungcheongnam-do (CN) on surface $PM_{2.5}$ (Particulate Matter of which diameter is $2.5{\mu}m$ or less) concentrations in its surrounding areas. Uncertainties associated with contribution estimations were examined through cross-comparison of modeling results using various combinations of model inputs and setups; two meteorological datasets developed with WRF for 2010 and 2014, and two domestic emission inventories for 2010 and 2013 were used to estimate contributions of major point sources in CN. The results show that contributions of major point sources in CN to annual $PM_{2.5}$ concentrations over Seoul, Incheon, Gyeonggi, and CN ranged $0.51{\sim}1.63{\mu}g/m^3$, $0.71{\sim}1.62{\mu}g/m^3$, $0.63{\sim}1.66{\mu}g/m^3$, and $1.04{\sim}1.86{\mu}g/m^3$, respectively, depending on meteorology and emission inventory choice. It indicates that the contributions over the surrounding areas can be affected by model inputs significantly. Nitrate was the most dominant $PM_{2.5}$ component that was increased by major point sources in CN followed by sulfate, ammonium, and others. Based on the model simulations, it was estimated that primary $PM_{2.5}$ $(PPM)-to-PM_{2.5}$ conversion rates were 41.3~50.7 ($10^{-6}{\mu}g/m^3/TPY$) for CN, and 12.4~18.3 ($10^{-6}{\mu}g/m^3/TPY$) for Seoul, Incheon, and Gyeonggi, respectively. In addition, spatial gradients of PPM contributions show very steep trends. $NO_X$-to-nitrate conversion rates were 7.61~12.3 ($10^{-6}{\mu}g/m^3/TPY$) for CN, and 3.94~11.3 ($10^{-6}{\mu}g/m^3/TPY$) for the sub-regions in the SMA. $SO_2$-to-sulfate conversion rates were 4.04~5.28 ($10^{-6}{\mu}g/m^3/TPY$) for CN, and 3.73~4.43 ($10^{-6}{\mu}g/m^3/TPY$) for the SMA, respectively.

Evaluation of Uncertainty Sources in Temperature Measurement Using Platinum Resistance Thermometer Caused by Temperature Gradient in Furnace and Sealed-type Freezing Point Cells (전기로 및 봉입형 응고점 셀 내의 온도구배가 미치는 표준백금저항온도계 온도측정의 불확도 요소 평가)

  • Kang, Kee-Hoon;Gam, Kee-Sool;Kim, Yong-Gyoo;Song, Chang-Ho
    • Journal of Sensor Science and Technology
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    • v.13 no.6
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    • pp.411-416
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    • 2004
  • In the international temperature scale of 1990 (ITS-90), standard platinum resistance thermometer (SPRT) is a defining standard thermometer used in the temperature range from 13.8033 K to $961^{\circ}C$. Uncertainty of SPRT is about several mK and uncertainty of defining fixed points of the ITS-90 which is used for calibrating SPRT is about several tenth of mK. Above $0^{\circ}C$. the defining fixed points are gallium melting point and indium, tin, zinc, aluminium and silver freezing points which are all realized using an electric furnace or a liquid bath. To realize freezing point of tin ($231.928^{\circ}C$) and zinc ($419.527^{\cir}C$), two 3-zone furnaces which have 3 electric heaters were manufactured. Temperature gradient of the constructed furnaces were tested. Uncertainty caused by temperature gradient of furnace and immersion effect of SPRT in the sealed-type freezing point cells were evaluated 0.038 mK for tin freezing point and 0.036 mK for zinc freezing point.

An Observational Study on the Change of Micro-meteorological Environment due to Deforestation (삼림파괴로 인한 미기후 환경변화에 관한 관측적 연구)

  • Lim, Jung-Sub;Lee, Bu-Yong;Kim, Hae-Dong;Kim, Hak-Yoon;Hwang, Soo-Jin
    • Journal of the Korean earth science society
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    • v.30 no.2
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    • pp.185-195
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    • 2009
  • We investigated the change of several meteorological variables due to deforestation. We established two sets of automatic weather observation system: one on a hill where forest was destructed by lumbering (Point 1) and the other in a neighboring district (Point 2) of fairly preserved forest. The observations were continued for one year (2006. 12-2007. 12). In this study, we analysed the data observed for one week from the nea day after summertime rainfall. The results showed that the air temperatures of Point 1 were about $1.5^{\circ}C$ higher than those of Point 2 during the daytime. But there were small gaps between the two poults during the nighttime. The relative humidities also differed greatly between the two during the daytime. It was as high as about 10% at Point 2. The surface and underground (15 cm in depth) soil temperatures were also fealty different between the two points during the daytime. They were $3-10^{\circ}C$ higher at Point 2 than those of Point 1. And the gaps reduced drastically during the nighttime. The averaged soil moistures were 7.1% at Point 1 and 19.5% at Point 2 during the observation period, respectively. The differences of wind direction were small, but the wind speeds differed between the two points. The observed wind speeds during the observation period were roughly estimated to be about 0.5m/s at Point 1 and 0.3m/s at Point 2. The heat budget analysis was also performed based on the observation data.

Comments on "Air Quality Impact Analysis of Point and Area Sources" ("점오염원과 면오염원의 대기환경영향 분석"에 대하여)

  • 김영성
    • Journal of Korean Society for Atmospheric Environment
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    • v.9 no.3
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    • pp.255-256
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    • 1993
  • Recently, Ghim and Son (1993) compared the air quality impacts of two point sources P1 and P3 in Seoul in the first quarter of 1988, whose emission rates were 99.9g/s and 49.4g/s, and whose stack heights were 75m and 21m. They said that higher concentrations from P3 in the nearby area were responsible for shorter stack height of P3. But concentrations were not raised so high only because the stack height was reduced from 75m to 21m. Volume of exit gas from P3 was also much smaller than that from P1.

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A Common Fixed Point Theorem in M-Fuzzy Metric Spaces (M-퍼지거리공간에서의 공통 부동점정리)

  • Park, Jin-Han;Park, Jong-Seo;Park, Yong-Beom;Lee, Bu-Young
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2006.11a
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    • pp.141-144
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    • 2006
  • In this paper, using the notion of generalized metric (or D-metric) due to Dhage [3], we give new definition of M-fuzzy metric spaces and prove a common fixed point theorem for two mappings under the condition of weak compatible and R-weakly commuting mappings in complete M-fuzzy metric spaces.

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