• 제목/요약/키워드: Index n

검색결과 3,516건 처리시간 0.027초

EXTREMAL F-INDICES FOR BICYCLIC GRAPHS WITH k PENDANT VERTICES

  • Amin, Ruhul;Nayeem, Sk. Md. Abu
    • 한국수학교육학회지시리즈B:순수및응용수학
    • /
    • 제27권4호
    • /
    • pp.171-186
    • /
    • 2020
  • Long back in 1972, it was shown that the sum of the squares of vertex degrees and the sum of cubes of vertex degrees of a molecular graph both have large correlations with total 𝜋-electron energy of the molecule. Later on, the sum of squares of vertex degrees was named as first Zagreb index and became one of the most studied molecular graph parameter in the field of chemical graph theory. Whereas, the other sum remained almost unnoticed until recently except for a few occasions. Thus it got the name "forgotten" index or F-index. This paper investigates extremal graphs with respect to F-index among the class of bicyclic graphs with n vertices and k pendant vertices, 0 ≤ k ≤ n - 4. As consequences, we obtain the bicyclic graphs with largest and smallest F-indices.

고해부하가 종이의 물성에 미치는 영향 (The Effect of Refining Load on the Paper Properties)

  • 김용식;원종명
    • 펄프종이기술
    • /
    • 제33권1호
    • /
    • pp.38-44
    • /
    • 2001
  • The effects of refining load on the paper properties were investigated. HwBKP, SwBKP and SwUKP were refined with PFI mill at the load of 3.33 N/mm and 6.00 N/mm. Higher Scott bond was obtained at the higher refining load for three pulp used in this study. However any changes in the light scattering coefficient with the change of refining load were not observed. Although the effect of refining load on the formation index for SwUKP was not observed, higher refining load gave the better formation for HwBKP and SwBKP. The fiber mass and fiber crowding factor were not affected by the refining load. Higher apparent density and tensile index were obtained with the higher refining load. However, the higher refining load did not improve the tensile index at the same apparent density. The tear index was decreased with the increase of refining load.

  • PDF

A New Method for Measuring Refractive Index with a Laser Frequency-shifted Feedback Confocal Microscope

  • Zhou, Borui;Wang, Zihan;Shen, Xueju
    • Current Optics and Photonics
    • /
    • 제4권1호
    • /
    • pp.44-49
    • /
    • 2020
  • In this paper, a new method is presented to measure the refractive index of single plain glass or multilayered materials, based on a laser frequency-shifted confocal feedback microscope. Combining the laser frequency-shifted feedback technique and the confocal effect, the method can attain high axial-positioning accuracy, stability and sensitivity. Measurements of different samples are given, including N-BK7 glass, Silica plain glass, and a microfluidic chip with four layers. The results for N-BK7 glass and Silica plain glass show that the measurement uncertainty in the refractive index is better than 0.001. Meanwhile, the feasibility of this method for multilayered materials is tested. Compared to conventional methods, this system is more compact and has less difficulty in sample processing, and thus is promising for applications in the area of refractive-index measurement.

SOME INEQUALITIES FOR THE HARMONIC TOPOLOGICAL INDEX

  • MILOVANOVIC, E.I.;MATEJIC, M.M.;MILOVANOVIC, I.Z.
    • Journal of applied mathematics & informatics
    • /
    • 제36권3_4호
    • /
    • pp.307-315
    • /
    • 2018
  • Let G be a simple connected graph with n vertices and m edges, with a sequence of vertex degrees $d_1{\geq}d_2{\geq}{\cdots}{\geq}d_n$ > 0. A vertex-degree topological index, referred to as harmonic index, is defined as $H={\sum{_{i{\sim}j}}{\frac{2}{d_i+d_j}}$, where i ~ j denotes the adjacency of vertices i and j. Lower and upper bounds of the index H are obtained.

일부 남자대학생의 비만지수에 따른 혈중 Leptin 농도 연구 (A Study on Serum Leptin Concentrations by Obesity Index in Male College Students in Korea)

  • 김순경
    • Journal of Nutrition and Health
    • /
    • 제33권5호
    • /
    • pp.524-531
    • /
    • 2000
  • This study was conducted to investigate the basal leptin concentrations in normal(n=17, BMI 20-25, obesity index 90-110%) and overweight(n=13, BMI > 25, obestity index > 120%) Korea young aldult males, and correlation between leptin concentrations, nutrients intake, anthropometry and other biochemical parameters. Nutritional status, serum leptin and biochemiccal parameters were evaluated based on 24hr-dietary records, anthropometric measurement and blood analysis. Obesity index were 138% and 101% in overweight and normal group, respectively. Serum leptin concentration was higher in overweight group than that in normal group (8.65$\pm$ 9.41 vs 2.06 $\pm$ 1.19, p<0.05). Serum triglyceride, HDL-cholesterol and insulin concentrations were higher in overweight group than in normal group(p<0.05). Nutrients intakes was not different between two group. The leptin concentrations were correlated with body weight(p<0.001), BMI(p<0.05), obesity index(p<0.05), waist circumference(p<0.05), animal lipid intake(p<0.05)in overweight group.

  • PDF

PECVD 법에 의해 제작된 저굴절률 차이 평판 SiON광도파로 (Low Index Contrast Planar SiON Waveguides Deposited by PECVD)

  • 김용탁;윤석규;윤대호
    • 한국세라믹학회지
    • /
    • 제42권3호
    • /
    • pp.178-181
    • /
    • 2005
  • Silicon oxynitride (SiON) 막은 플라즈마 화학기상증착법(PECVD)으로 $SiH_4,\;N_2O$$N_2$ 가스를 사용하여 $SiO_2/Si$ 위해 증착되었다. 증착 변수에 따라서 SiON 막의 굴절률은 prism coupler를 사용하여 1552nm 파장에서 $1.4480\~1.4958$까지 변화하였다. 평판 광도파로 코어로 사용되는 SiON 막의 두께는 $6{\mu}m$이고, buffer 막과의 굴절률 차이(An)는 $0.36\%$이다. 또한 식각 공정으로 $SiO_2$ 막 위에 증착된 SiON 막은 건식식각을 통해서 수행되었다. 광화이버에 $1.55{\mu}m$ 파장의 레이저론 입력단에 조사하였다. 결과적으로 저굴절률 차이 SiON 광도파로를 제작하였으며, 출력단에서 single-mode 형상을 확인하였다.

EXISTENCE OF n POSITIVE SOLUTIONS TO SECOND-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE

  • Wang, Feng;Zhang, Fang
    • 대한수학회보
    • /
    • 제49권4호
    • /
    • pp.815-827
    • /
    • 2012
  • The existence of $n$ positive solutions is established for second order multi-point boundary value problem at resonance where $n$ is an arbitrary natural number. The proof is based on a theory of fixed point index for A-proper semilinear operators defined on cones due to Cremins.

The Effect of Abdominal-Compression Belt on Balance Ability with One Leg Standing

  • Chang, Ki-Yeon;Chon, Seung-Chul
    • 대한인간공학회지
    • /
    • 제31권2호
    • /
    • pp.337-343
    • /
    • 2012
  • Objective: The aim of this study was to determine the effect of abdominal-compression belt in one leg standing on balance in normal adult. Background: With the effects of increased intra-abdominal pressure, the abdominal-compression belt is contributing to a static balance control. However, specific study is still insufficient. Method: Forty subjects were randomly allocated to two groups: control(n=20) and experimental group(n=20), respectively. The experimental group used an abdominal-compression belt, whereas the control group did not that. All subjects were educated using pressure biofeedback unit and ultrasound imaging for exact application by abdominal-compression belt. Main outcome measurement was used a general stability index, fourier harmony index, weight distribution index, and fall index in tetrax balance system. Results: Experimental group improved significantly on general stability, only 2 factors(eyes closed with head turned forward and eyes closed with head turned backward) among fourier harmony index, and fall index, However, weight distribution index did not revealed significant difference. Conclusion: The findings suggest that application of abdominal-compression belt could be effective on improving balance ability in one leg standing of normal adults. Application: The results of the abdominal-compression belt might help to control balance in workers.

생물지수를 이용한 북한강 수계에서의 생물학적 수질 평가 (biotic Indices as Assessment tools of Water Quality in the Han River System, Korea)

  • 정평림;정영헌;어성준;김재진;최선근
    • The Korean Journal of Ecology
    • /
    • 제21권6호
    • /
    • pp.759-770
    • /
    • 1998
  • biotic indices scoring with the benthic macroinvertebrates were assessed as pollution monitoring tools in the north branch of the Han River system, Korea. We investigated the temporal variability of water quality at unpolluted, moderately polluted and heavily polluted sites using several biotic indices and assessed appropriate biological monitoring indices for lotic systems in Korea. The following biotic and chemical indices were employed in order to compare their applicability to the lotic systems : Trent Biotic Index (TBI), Chandler's Biotic Index-Average Score per Taxon (CBI-ASPT), Modified Biological Monitoring Working Party Score System-Average Score per Taxon (BMWP-ASPT), Hilsenhoff's biotic Index (BI) and Family-level Biotic Index (FBI) models for biotic analyses and National Sanitation foundation's Water Quality Index (NSFWQI) and comprehensive Chemical Pollution Index (Pb/n) for chemical analyses of water quality. Index and score values were compared with each other and with 24 water chemistry parameters. All biotic indices were significantly auto-correlated (p<0.001) and BI and FBI/ROK among them were highly correlated (r=0.84). BI and BMWP-ASPT models were also highly correlated with NSFWQI, while TBI values showed high correlation with the Pb/n. The BI and BMWP-ASPT were highly correlated with the most water chemistry parameters. We conclude that the BI model, which includes indicator species and abundance of taxa, is best suited for the bioassessment of lotic systems in Korea. For rapid field-based assessments, FBI/ROK and BMWP-ASPT models are also appropriate.

  • PDF

Selection of the Most Sensitive Waveband Reflectance for Normalized Difference Vegetation Index Calculation to Predict Rice Crop Growth and Grain Yield

  • Nguyen Hung The;Lee Byun Woo
    • 한국작물학회지
    • /
    • 제49권5호
    • /
    • pp.394-406
    • /
    • 2004
  • A split-plot designed experiment including four rice varieties and 10 nitrogen levels was conducted in 2003 at the Experimental Farm of Seoul National University, Suwon, Korea. Before heading, hyperspectral canopy reflectance (300-1100nm with 1.55nm step) and nine crop variables such as shoot fresh weight (SFW), leaf area index, leaf dry weight, shoot dry weight, leaf N concentration, shoot N concentration, leaf N density, shoot N density and N nutrition index were measured at 54 and 72 days after transplanting. Grain yield, total number of spikelets, number of filled spikelets and 1000-grain weight were measured at harvest. 14,635 narrow-band NDVIs as combinations of reflectances at wavelength ${\lambda}l\;and\;{\lambda}2$ were correlated to the nine crop variables. One NDVI with the highest correlation coefficient with a given crop variable was selected as the NDVI of the best fit for this crop variable. As expected, models to predict crop variables before heading using the NDVI of the best fit had higher $r^2$ (>10\%)$ than those using common broad- band NDVI red or NDVI green. The models with the narrow-band NDVI of the best fit overcame broad- band NDVI saturation at high LAI values as frequently reported. Models using NDVIs of the best fit at booting showed higher predictive capacity for yield and yield component than models using crop variables.