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THE COMPETITION INDEX OF A NEARLY REDUCIBLE BOOLEAN MATRIX

  • Cho, Han Hyuk;Kim, Hwa Kyung
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.6
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    • pp.2001-2011
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    • 2013
  • Cho and Kim [4] have introduced the concept of the competition index of a digraph. Similarly, the competition index of an $n{\times}n$ Boolean matrix A is the smallest positive integer q such that $A^{q+i}(A^T)^{q+i}=A^{q+r+i}(A^T)^{q+r+i}$ for some positive integer r and every nonnegative integer i, where $A^T$ denotes the transpose of A. In this paper, we study the upper bound of the competition index of a Boolean matrix. Using the concept of Boolean rank, we determine the upper bound of the competition index of a nearly reducible Boolean matrix.

Surface Emissivity Derived From Satellite Observations: Drought Index

  • Yoo, Jung-Moon;Yoo, Hye-Lim
    • Journal of the Korean earth science society
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    • v.27 no.7
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    • pp.787-803
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    • 2006
  • The drought index has been developed, based on a $8.6{\mu}m$ surface emissivity in the $8-12{\mu}m$ MODIS channels over the African Sahel region (10-20 N, 13 W-35 W) and the Seoul Metropolitan Area (SMA: 37.2-37.7 N, 126.6-127.2 E). The emissivity indicates the $SiO_2$ strength and can vary interannually by vegetation, water vapor, and soil moisture, as a potential indicator of drought conditions. In a well-vegetated region close to 10 N of the Sahel, the Normalized Difference Vegetation Index (NDVI) showed high sensitivity, while the emissivity did not. On the other hand, the NDVI experienced negligible variability in a poorly vegetated region near 20 N, while the emissivity reflected sensitively the effects of atmospheric water vapor and soil moisture conditions. Seasonal variations of the emissivity (0.94-0.97) have been examined over the SMA during the 2003-2004 period compared to NDVI (or Enhanced Vegetation Index; EVI). Here, the dryness was more severe in urban area with less vegetation than in suburban area; the two areas corresponded to the north and south of the Han river, respectively. The emissivity exhibiting a significant spatial correlation of ${\sim}0.8$ with the two indices can supplement their information.

A STUDY ON THE MANDIBULAR MOVEMENTS OF TMD PATIENTS (두개하악장애 환자의 하악운동에 관한 연구)

  • Heo, Seong-Joo;Kim, Kwang-Nam;Chang, Ik-Tae
    • The Journal of Korean Academy of Prosthodontics
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    • v.32 no.1
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    • pp.103-119
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    • 1994
  • The purpose of this study was to evaluate the mandibular movements of TMD patients comparing to normal persons. Sirognathograph was used to measure five parameters of mandibular movements of twenty normal persons and eight TMD patients. Five parameters were (1) Maximum opening during maximum opening and closing, (2) Mean velocity during maximum opening and closing, (3) Maximum opening during unilateral chewing, (4) Mean velocity during unilateral chewing, (5) Consistency of mandibular movement during unilateral chewing. Based on above results, new Mandibular Movement Index(M.M.I.) was formulated and compared to Helkimo's Clinical Dysfunction Index by measuring two indices before treatment and 2 weeks, 4 weeks, 6 weeks, 8 weeks after treatment. The conclusions were as follows: 1, The amounts of maximum opening and mean velocity during maximum opening and closing of TMD patients were less than those of normal persons(p<0.01). 2. The amounts of maximum opening and mean velocity during unilateral chewing of TMD patients were less than those of normal persons(p<0.05) (P<0.01). 3. Although TMD patients showed limited mandibular movements during unilateral chewing, the consistency of mandibular movements was better than that of normal persons(p<0.05). 4. Both mandibular movement index and Helkimo's Clinical Dysfunction Index, were useful in diagnosing TMD patients.

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Refractive Index Dispersion of Aluminate Glasses on the Addition of $SiO_2$ ($SiO_2$ 첨가에 따른 알루미네이트 유리의 굴절률 분산 특성)

  • 원종원;정용선;오근호
    • Journal of the Korean Ceramic Society
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    • v.34 no.7
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    • pp.693-698
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    • 1997
  • The refractive index and dispersion in the (100-x)(0.6CaO.0.4Al2O3).xSiO2(x=0~30) glasses were investigated. As the amount of SiO2 increased, the refractive index decreased. The change of refractive index was attributed to the change of the molar refraction rather than the molar volume. When the amount of SiO2 was smaller than 20 mol%, the average electronic transition energy gaps(E0) and the electronic oscillator strengths(Ed) were about 10.9($\pm$0.1) nd 18($\pm$0.5)eV, respectively. However E0 and Ed of the glass (CAS30) with 30 mol% SiO2 increased to 12.63 and 19.89eV, respectively. The similar results was observed in the variation of Abbe Number. Abbe number of the glass in the range of 0~20 mol% SiO2 was about 46 and that of CAS30 increased to 60. The zero-material dispersion wavelength({{{{ lambda }}0) of pure calcium aluminate glass was 1.8 ${\mu}{\textrm}{m}$. As the amount of SiO2 increased, the zero-material dispersion wavelength shifted to a shorter wavelength. {{{{ lambda }}0 of CAS30 was 1.5 ${\mu}{\textrm}{m}$, that is currently using for the optical telecommunication system.

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Development of Hydroclimate Drought Index (HCDI) and Evaluation of Drought Prediction in South Korea (수문기상가뭄지수 (HCDI) 개발 및 가뭄 예측 효율성 평가)

  • Ryu, JaeHyun;Kim, JungJin;Lee, KyungDo
    • Journal of The Korean Society of Agricultural Engineers
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    • v.61 no.1
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    • pp.31-44
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    • 2019
  • The main objective of this research is to develop a hydroclimate drought index (HCDI) using the gridded climate data inputs in a Variable Infiltration Capacity (VIC) modeling platform. Typical drought indices, including, Standardized Precipitation Index (SPI), Standardized Precipitation Evapotranspiration Index (SPEI), and Self-calibrated Palmer Drought Severity Index (SC-PDSI) in South Korea are also used and compared. Inverse Distance Weighting (IDW) method is applied to create the gridded climate data from 56 ground weather stations using topographic information between weather stations and the respective grid cell ($12km{\times}12km$). R statistical software packages are used to visualize HCDI in Google Earth. Skill score (SS) are computed to evaluate the drought predictability based on water information derived from the observed reservoir storage and the ground weather stations. The study indicates that the proposed HCDI with the gridded climate data input is promising in the sense that it can help us to predict potential drought extents and to mitigate its impacts in a changing climate. The longer term drought prediction (e.g., 9 and 12 month) capability, in particular, shows higher SS so that it can be used for climate-driven future droughts.

A Study to Establish Target Exposure Index for Chest Radiography (흉부방사선검사의 목표노출지수 설정을 위한 연구)

  • Hoi-Woun Jeong;Jung-Whan Min
    • Journal of radiological science and technology
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    • v.47 no.3
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    • pp.167-173
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    • 2024
  • This study purpose to establish an appropriate target exposure index(EIT) using dose area product(DAP) and exposure index(EI) based on chest radiography. First, the system response experiment was conducted with radiation quality of RQA5 to compare the dosimetry and dose area product of equipment. Next, EI and DAP were acquired and analyzed while varying the dose in the diagnostic at 70kVp using a human body model phantom. The signal to noise ratio(SNR) of the obtained results was analyzed in the diagnostic with in the diagnostic reference level(DRL) application range. The DRL at percentage 25% had a dose of 0.17 mGy and EI was 83, and at percentage 75% the dose was 0.68 mGy and EI was 344. As the dose increased, the SNR in the subdiaphragm increased. To set the EIT, calibration must first be performed using a dosimeter and set within the DRL range to reflect the needs of the medical institution.

A proposed temperature crack index table based on correlation between temperature cracks and construction methods in subway concrete box structures (지하철 콘크리트 BOX 구조물의 수화균열에 대한 상관관계 분석 및 온도균열지수표 제시)

  • Song, Suk-Jun;Park, Ji-Woong;Kim, Eun-Kyum
    • Proceedings of the KSR Conference
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    • 2010.06a
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    • pp.1437-1443
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    • 2010
  • Thermal stresses due to the heat of hydration can cause extensive cracking in subway structures. In order to reduce heat cracks, construction methods (e.g. sequential or skipping construction methods) need to be changed. However, to our knowledge, the existing literature contains little information on the correlation between heat cracks and construction methods. Thus, in this study, the temperature crack index table was suggested based on construction lengths (6 m, 9 m and 18 m), concrete mixtures (Type I cement with FA of 20 % in cement weight, Type IV cement with FA of 10 % in cement weight, and mixture of three different cements), construction seasons (spring or autumn, summer and winter) and construction method (sequential or skipping construction methods). The index table can be easily used corresponding to changes in concrete placing method at the construction site. Also, the correlation of cracking due to sequential or skipping construction methods was derived based on the statistical approaches.

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Effect of Diltiazem Cardioplegia on the Myocardial Protection and Functional Recovery of the Isolated Perfused Rat Heart (적출된 작업성 쥐심장에서 Diltiazem 심정지액이 심근보호 및 심근기능 회복에 미치는 영향)

  • 최종범
    • Journal of Chest Surgery
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    • v.21 no.6
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    • pp.970-978
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    • 1988
  • There is tendency of increasing number and decreasing age of patients who are indicated for Rastelli operation for their cyanotic congenital heart disease. So there is the need to find the criterion which saves the patients from early postoperative hemodynamic disturbances. We reviewed the 26 patients who had been performed Rastelli operation at Seoul national University Hospital from January 1981 to June 1988. mean age of the patients was 7.8*3.4 years[range 2.5-15years], mean body surface area[BSA] 0.79*0.25m2[range 0.49-1.51m2] and mean hematocrit 57.95*12%[range 48-80%]. We divided these patients into survived group and died group before postoperative 72 hours, and analyzed preoperative arterial oxygen saturation[SaO2], the ratio of diameter of right pulmonary artery to ascending aorta[RPA/AA], the ratio of both right and left pulmonary artery diameter to descending thoracic aorta[RPA+LPA/DTA], pulmonary artery index[PA index], cardiopulmonary bypass time, aorta cross-clamping time, postoperative perfusion state and total amount of dopamine infused postoperatively. The results showed that RPA+LPA/DTA and PA index were statistically significant factors to influence early postoperative cardiac death rate[P< 0.05]. Especially there were good linear correlations between PA index[X] and peripheral perfusion index[Y][Y= - 1.15+0.02 X, r=0.86, P<0.01]and between PA index[X] and total amount of dopamine infused before postoperative 72 hours[mg/kg, Y][Y=61.94 - 0.15 X, r=-0.80, P < 0.01]. Also there were tendencies that the higher RPA+LPA/DTA[Y], the better peripheral perfusion [X] and the lower need of dopamine[X], but no statistical significance.[Y=0.78+1.60 X, r =0. 49, P >0.05] And the discriminate analysis showed that patients with PA index over 221 mm2/BSA could undergo correction with 25 per cent of error rate. In conclusion, early postoperative hemodynamic states could be predicted by preoperatively measured PA index, and which can be used as a criterion for Rastelli operation performed on cyanotic congenital heart disease.

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Observational Study to Investigate Thermal Environment and Effect of Clean- Road System over a Broad Way of Daegu in Summer (대구의 여름철 도로 열 환경과 클린로드 시스템의 효과 조사를 위한 관측연구)

  • Kim, Sung-Rak;Jung, Eung-Ho;Kim, Hae-Dong
    • Journal of Environmental Science International
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    • v.24 no.9
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    • pp.1171-1180
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    • 2015
  • To investigate thermal environment and effect of clean-road system over a broad way, we conducted the filed meteorological observation during 12~13 August 2014. The clean-road system was employed over a part of the broad way of Dalgubul(Dalgubul-Daero) by Daegu Metropolitan city in 2011. The clean-road system in general is operated two times(4 am, 2 pm) during summertime. In case of scorching alert, the system is operated 3 times a day(4 am, 2 pm and 4 pm). To evaluate the present thermal condition and the improvement effects due to the system, we analyzed the time variation of discomfort index and WBGT(wet-bulb and globe temperature). WBGT was more than 25 during 8 a.m. ~ 9 p.m. And discomfort index was more than 75 during 8 a.m. ~ 11 p.m. The thermal improvement effect of the clean-road system was restrictive during daytime.

THE ZAGREB INDICES OF BIPARTITE GRAPHS WITH MORE EDGES

  • XU, KEXIANG;TANG, KECHAO;LIU, HONGSHUANG;WANG, JINLAN
    • Journal of applied mathematics & informatics
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    • v.33 no.3_4
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    • pp.365-377
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    • 2015
  • For a (molecular) graph, the first and second Zagreb indices (M1 and M2) are two well-known topological indices, first introduced in 1972 by Gutman and Trinajstić. The first Zagreb index M1 is equal to the sum of the squares of the degrees of the vertices, and the second Zagreb index M2 is equal to the sum of the products of the degrees of pairs of adjacent vertices. Let $K_{n_1,n_2}^{P}$ with n1 $\leq$ n2, n1 + n2 = n and p < n1 be the set of bipartite graphs obtained by deleting p edges from complete bipartite graph Kn1,n2. In this paper, we determine sharp upper and lower bounds on Zagreb indices of graphs from $K_{n_1,n_2}^{P}$ and characterize the corresponding extremal graphs at which the upper and lower bounds on Zagreb indices are attained. As a corollary, we determine the extremal graph from $K_{n_1,n_2}^{P}$ with respect to Zagreb coindices. Moreover a problem has been proposed on the first and second Zagreb indices.