• Title/Summary/Keyword: Harmonic-mean

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Classification of Land Cover on Korean Peninsula Using Multi-temporal NOAA AVHRR Imagery

  • Lee, Sang-Hoon
    • Korean Journal of Remote Sensing
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    • v.19 no.5
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    • pp.381-392
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    • 2003
  • Multi-temporal approaches using sequential data acquired over multiple years are essential for satisfactory discrimination between many land-cover classes whose signatures exhibit seasonal trends. At any particular time, the response of several classes may be indistinguishable. A harmonic model that can represent seasonal variability is characterized by four components: mean level, frequency, phase and amplitude. The trigonometric components of the harmonic function inherently contain temporal information about changes in land-cover characteristics. Using the estimates which are obtained from sequential images through spectral analysis, seasonal periodicity can be incorporates into multi-temporal classification. The Normalized Difference Vegetation Index (NDVI) was computed for one week composites of the Advanced Very High Resolution Radiometer (AVHRR) imagery over the Korean peninsula for 1996 ~ 2000 using a dynamic technique. Land-cover types were then classified both with the estimated harmonic components using an unsupervised classification approach based on a hierarchical clustering algorithm. The results of the classification using the harmonic components show that the new approach is potentially very effective for identifying land-cover types by the analysis of its multi-temporal behavior.

Comparison of Harmonic scalpel and monopolar cautery for capsulectomy at the second stage of expander/implant breast reconstruction

  • Kim, Ki Jae;Chung, Jae Ho;Lee, Hyung Chul;Lee, Byung Il;Park, Seung Ha;Yoon, Eul Sik
    • Archives of Plastic Surgery
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    • v.47 no.2
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    • pp.140-145
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    • 2020
  • Background Capsular contracture is a common complication of two-stage expander/implant breast reconstruction. To minimize the risk of this complication, capsulectomy is performed using monopolar cautery or ultrasonic surgical instrumentation, the latter of which can be conducted with a Harmonic scalpel. To date, there is disagreement regarding which of the two methods is superior. The purpose of this study was to compare postoperative outcomes between a group of patients who underwent surgery using a Harmonic scalpel and another group treated with monopolar cautery. Methods A retrospective chart review was conducted of patients who underwent capsulectomy as part of two-stage breast reconstruction between January 2018 and February 2019 and who received at least 1 month of follow-up after surgery. Operative time and postoperative outcomes, including drainage duration, were analyzed. Results In total, 36 female patients underwent capsulectomy. The monopolar group consisted of 18 patients and 22 breasts, while the Harmonic scalpel group consisted of 18 patients and 21 breasts. There was no statistically significant difference in demographics between the two groups. The Harmonic scalpel group had a significantly shorter mean drainage duration (6.65 days vs. 7.36 days) and a smaller mean total drainage volume (334.69 mL vs. 433.54 mL) than the monopolar cautery group (P<0.05). No statistically significant difference was observed with regard to seroma or hematoma formation. Conclusions The Harmonic scalpel approach for capsulectomy reduced the total drainage volume and drainage duration compared to the monopolar cautery approach. Therefore, this approach could serve as a good alternative to electrocautery.

ON A CLASS OF BIVARIATE MEANS INCLUDING A LOT OF OLD AND NEW MEANS

  • Raissouli, Mustapha;Rezgui, Anis
    • Communications of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.239-251
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    • 2019
  • In this paper we introduce a new formulation of symmetric homogeneous bivariate means that depends on the variation of a given continuous strictly increasing function on (0, ${\infty}$). It turns out that this class of means includes a lot of known bivariate means among them the arithmetic mean, the harmonic mean, the geometric mean, the logarithmic mean as well as the first and second Seiffert means. Using this new formulation we introduce a lot of new bivariate means and derive some mean-inequalities.

Riccati Equation and Positivity of Operator Matrices

  • Fujii, Jun Ichi;Fujii, Masatoshi;Nakamoto, Ritsuo
    • Kyungpook Mathematical Journal
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    • v.49 no.4
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    • pp.595-603
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    • 2009
  • We show that for an algebraic Riccati equation $X^*B^{-1}X-T^*X-X^*T=C$, its solutions are given by X = W + BT for some solution W of $X^*B^{-1}X$ = $C+T^*BT$. To generalize this, we give an equivalent condition for $\(\array{B&W\\W*&A}\)\;{\geq}\;0$ for given positive operators B and A, by which it can be regarded as Riccati inequality $X^*B^{-1}X{\leq}A$. As an application, the harmonic mean B ! C is explicitly written even if B and C are noninvertible.

Long-term Monthly Variations of Tide in Pusan Harbour (부산항 조석의 장기 월별 변동 특성)

  • 김종규;강태순
    • Journal of Ocean Engineering and Technology
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    • v.16 no.2
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    • pp.6-9
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    • 2002
  • The long-term monthly variations of tide with tidal harmonic analysis in Pusan Harbour are investigated. The present spring tidal range decreased 1.4 cm and the variation of phase lag increased than 1974. The high and low water level of yearly mean sea level is show during the February to March and August to September, respectively. It is important to note that the larger lunar elliptic N2 is large in comparison with lunisolar diurnal K1 and principal lunar diurnal O1. The ratios (Correction Factors) of monthly mean sea level and the main 4 tidal constituents are evaluated to correct the shortly (monthly) observed tide for the design of harbour facilities.

A NEW WAY FOR SOLVING TRANSPORTATION ISSUES BASED ON THE EXPONENTIAL DISTRIBUTION AND THE CONTRAHARMONIC MEAN

  • M. AMREEN;VENKATESWARLU B
    • Journal of applied mathematics & informatics
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    • v.42 no.3
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    • pp.647-661
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    • 2024
  • This study aims to determine the optimal solution to transportation problems. We proposed a novel approach for tackling the initial basic feasible solution. This is a critical step toward achieving an optimal or near-optimal solution. The transportation issue is an issue of distributing goods from several sources to several destinations. The literature demonstrates many ways to improve IBFS. In this work, to solve the IBFS, we suggested a new method based on the statistical formula called cumulative distribution function (CDF) in exponential distribution, and inverse contra-harmonic mean (ICHM). The spreadsheet converts transportation cost values into exponential cost cell values. The stepping-stone method is used to identify an optimum solution. The results are compared with other existing methodologies, the suggested method incorporates balanced, and unbalanced, maximizing the profits, random values, and case studies which produce more effective outcomes.

Harmonics Analysis of AC High Speed Railroad(HSR) System using Probabilistic Approach (확률론적 방법을 이용한 교류 고속철도 시스템의 고조파 해석)

  • Song Hak-Seon;Lee Jun-Kyong;Kim Jin-O;Kim Hyong-Chul
    • Proceedings of the KSR Conference
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    • 2005.05a
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    • pp.782-787
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    • 2005
  • Magnitude of generated harmonic currents along with the operation of AC traction has nonlinear characteristics, and generated harmonic currents for high speed traction are more and more in high speed railroad(HSR) systems, especially. This paper presents probabilistic approximation method for the harmonic currents analysis about the operating speed of AC traction. To use probabilistic method for HSR system, probability density function(PDF) for collected operating speed based measure data is calculated. Mean and variance of harmonic currents of single traction are obtained based on the operating speed PDF and electrical traction model. The results of Monte Carlo Simulation(MCS) are in well accordance with the experimental and analytic methods. The harmonics of different number of trainloads are systematically investigated. It is assessed by the total demand distortion(TDD) for the HSR system.

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On the Nonlinear Hydrodynamic Forces due to Large Amplitude Forced Oscillations (대진폭강제동요시(大振幅强制動搖時)의 비선형유체력(非線型流體力)에 관한 연구(硏究))

  • J.H.,Hwang;Y.J.,Kim;S.Y.,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.23 no.2
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    • pp.1-13
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    • 1986
  • The nonlinear hydrodynamic forces acting on a two-dimensional circular cylinder, oscillating with large amplitude in the free surface, are calculated by using the Semi-Lagrangian Time-Step-ping Method used by O.M. Faltinsen. In present calculation the position and the potential value of free surface are calculated using the exact kinematic and dynamic free surface boundary condition. At each time step an integral equation is solved to obtain the value of potential and normal velocity along the boundaries, consisting of both the body surface and the free surface. Some effort was devoted to the elimination of instability arising in the range of high frequency. Numerical simulations were performed up to the 3rd or 4th period which seems to be enough for the transient effect to die out. Each harmonic component and time-mean force are obtained by the Fourier transform of forces in time domain. The results are compared with others' experimental and theoretical results. Particularly, the calculation shows the tendency that the acceleration-phase 1st-harmonic component(added mass) increases as the motion amplitude increases and a reverse tendency in the velocity-phase 1st-harmonic component(damping coefficient). The Yamashita's experimental result also shows the same tendency. In general, the present result show relatively good agreement with the Yamashita's experimental result except for the time-mean force.

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A Study on the Tidal Characteristics of the Nakdongpo Estuary (낙동포의 조석특성에 관한 연구)

  • 전승환;전홍선
    • Journal of the Korean Institute of Navigation
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    • v.7 no.2
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    • pp.47-63
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    • 1983
  • In this paper, we have investigated the tidal characteristics of the Nakdongpo estuary. We have carried out the analysis of harmonic constant with the use of the recorded data on tidal level at the Gadeong Do tide station and analyzed the flow velocity data obtained by ourselves at two points in the Nakdongpo estuary. In addition, we have analyzed the variation of the mean-sea level. Typical items of the characteristics we have found are; (1) The principal harmonic constants and non-harmonic constants are shown in table 2. (2) Tide in this area shows the semidiurnal inequality. (3) The mean-sea level is shown to be depressed at the rate of about 1cm to the rise of 1 mbar of the atmospheric pressure. (4) (i) At $K_2$ point, The E-W component of the velocty reveals the nature of progressive waves. The N-S component reveals the nature of stationary waves. (ii) At $K_3$ point, The E-W component shows the characteristics of progressive waves to some degree. The N-S component shows a weak hint of stationary waves. (5) At $K_2$ point, S-component is predominant due to the flow of river. At $K_3$ point, E-component is predominant due to the Tsushima current.

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Asymptotic dirichlet problem for schrodinger operator and rough isometry

  • Yoon, Jaihan
    • Bulletin of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.103-114
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    • 1997
  • The asymptotic Dirichlet problem for harmonic functions on a noncompact complete Riemannian manifold has a long history. It is to find the harmonic function satisfying the given Dirichlet boundary condition at infinity. By now, it is well understood [A, AS, Ch, S], when M is a Cartan-Hadamard manifold with sectional curvature $-b^2 \leq K_M \leq -a^2 < 0$. (By a Cartan-Hadamard manifold, we mean a complete simply connected manifold of non-positive sectional curvature.)

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