• Title/Summary/Keyword: Modified equation

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A Study on the Modified Broca's Index to Estimate Standard Body Weight of Korean Adults (표준체중 산출을 위한 Modified Broca's Index에 관한 조사)

  • Cho, Byoung-Mann
    • Journal of Preventive Medicine and Public Health
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    • v.16 no.1
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    • pp.35-40
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    • 1983
  • The author investigated the modified Broca's index that could be applied to Korean adults, what is called Korean Broca's Index, with 2322 apparently healthy subjects of 20-59 years old in order to obtain the index which could be used to estimate the standard body weight of Korean adults. The obtained results were as follows: 1. Linear regression equation of body weight to height was Y (weight in kg)=0.7195 X (height in cm)-57.9746 in male, and V (weight in kg)=0.4288 X (height in cm)-16.6528 in female. 2. Estimated constant that could be applied to Korean Broca's Index was 0.93 in male and 0.89 in female, and these sexual difference was statistically significant. (P<0.01)

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CONVERGENCE THEOREMS FOR NEWTON'S AND MODIFIED NEWTON'S METHODS

  • Argyros, Ioannis K.
    • The Pure and Applied Mathematics
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    • v.16 no.4
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    • pp.405-416
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    • 2009
  • In this study we are concerned with the problem of approximating a locally unique solution of an equation in a Banach space setting using Newton's and modified Newton's methods. We provide weaker convergence conditions for both methods than before [5]-[7]. Then, we combine Newton's with the modified Newton's method to approximate locally unique solutions of operator equations. Finer error estimates, a larger convergence domain, and a more precise information on the location of the solution are obtained under the same or weaker hypotheses than before [5]-[7]. The results obtained here improve our earlier ones reported in [4]. Numerical examples are also provided.

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Numerical simulation of the free surface around a circular column in regular waves using modified marker-density method

  • Yang, In-Jun;Lee, Young-Gill;Jeong, Kwang-Leol
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.7 no.3
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    • pp.610-625
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    • 2015
  • In this paper the wave run-up around a circular column in regular waves is numerically calculated to investigate the applicability of the Modified Marker-Density (MMD) method to prediction of wave run-up around an offshore platform. The MMD method is one of the methods to define the highly nonlinear free surface. The governing equations are the Navier-Stokes equations and the continuity equation which are computed in Cartesian grid system. To validate incident waves generated by numerical simulation, those are compared with the solutions of the Stokes $5^{th}$ order wave theory. The wave run-up simulations are performed varying the steepness and period of incident waves as referred experimental data. The numerical results are compared to the experimental data and the results show good agreements.

Vibration analysis of inhomogeneous nonlocal beams via a modified couple stress theory incorporating surface effects

  • Ebrahimi, Farzad;Safarpour, Hamed
    • Wind and Structures
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    • v.27 no.6
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    • pp.431-438
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    • 2018
  • This paper presents a free vibration analysis of size-dependent functionally graded (FG) nanobeams with all surface effects considerations on the basis of modified couple stress theory. The material properties of FG nanobeam are assumed to vary according to power law distribution. Based on the Euler-Bernoulli beam theory, the modeled nanobeam and its equations of motion are derived using Hamilton's principle. An analytical method is used to discretize the model and the equation of motion. The model is validated by comparing the benchmark results with the obtained results. Results show that the vibration behavior of a nanobeam is significantly influenced by surface density, surface tension and surface elasticity. Also, it is shown that by increasing the beam size, influence of surface effect reduces to zero, and the natural frequency tends to its classical value.

Modified algorithmic LMI design with applications in aerospace vehicles

  • Chen, Tim;Gu, Anzaldi;Hsieh, Chiayen;Xu, Giustolisi;Wang, Cheng;Chen, C.Y.J.
    • Advances in aircraft and spacecraft science
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    • v.8 no.1
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    • pp.69-85
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    • 2021
  • A modified fuzzy mechanical control of large-scale multiple time delayed dynamic systems in states is considered in this paper. To do this, at the first level, a two-step strategy is proposed to divide a large system into several interconnected subsystems. As a modified fuzzy control command, the next was received as feedback theory based on the energetic function and the LMI optimal stability criteria which allow researchers to solve this problem and have the whole system in asymptotically stability. Modeling the Fisher equation and the temperature gauge for high-speed aircraft and spacecraft shows that the calculation method is efficient.

수정된 FS방법을 이용한 일반화된 지수생존모형의 추정

  • 하일도;조건호
    • Proceedings of the Korea Society for Industrial Systems Conference
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    • 1999.05a
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    • pp.205-209
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    • 1999
  • 일반화된 지수생존모형(generalized exponential survival model)을 고려하여 이 모형의 모수를 추정하는 수정된 FS(modified Fisher scoring)방법을 제안한다. 이를 위해 우도방정식(likelihood equation)을 유도하고 초기추정치 (initial estimate)를 포함한 추정알고리즘(estimating algorithm)을 개발한다.

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Simulation of Temperature-Dependent EPR Spectra of Mixed-Valence Copper (II)-Copper (I)-Complexes

  • So, Hyun-Soo
    • Bulletin of the Korean Chemical Society
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    • v.8 no.2
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    • pp.111-114
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    • 1987
  • Temperature-dependent, solution EPR spectra of two mixed-valence copper(II)-copper(I) complexes have been simulated by using modified Bloch equations. The transition probability for the intramolecular electron transfer is determined from the simulation. The transition probabilities have been fitted to the Arrhenius equation to derive the activation energies. The transition probability also varies according to the solvent used.

Development of Bioelectrical Impedance Analyzer for Korean in Telemedicine (원격의료계측을 위한 한국형 생체 전기 임피던스 분석 시스템의 개발)

  • 문재국;서광석;임택균;신태민;윤형로
    • Journal of Biomedical Engineering Research
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    • v.23 no.5
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    • pp.413-418
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    • 2002
  • The purpose of this study was to design a single frequency BIA(Bioelectrical Impedance Analyzer) which can measure body impedance when patient is sitting on the toilet and to develope a prediction equation for designed BIA. For the purpose of this study, we acquired body impedances with designed BIA from 181 subjects composed of healthy Korean by attaching electrodes to suitable positions(wrist and thigh) for toilet measurement. We computed an appropriate FFM(Fat Free Mass) for Korean using modified-Siri equation to the same subjects instead of Siri equation which nay cause accuracy problems in hydrodensitometry when it applied to Korean. We used this FFM as reference value and developed a Korean FFM prediction equation based on body impedance index, body weight and sex. Correlation coefficient between prediction value and reference value of FFM was extremely high (r = 0.977) and SEE(Standard Error of Estimation) was low 2.47kg.(p<0.05) For comparison between existing electrode-attaching method and our method for toilet measurement, we acquired body impedance with designed BIA from same subjects attaching electrodes on existing positions (wrist and ankle) and made FFM prediction equation for BIA. Correlation coeffient between predicted value and reference value was 0.978 and SEE was 2.43kg(p<0.05). It means that the developed system has not significant differences with existing method. In conclusion bioelectrical impedance analyzer and the FFM prediction equation developed in this paper are evaluated to he adequate to compute FFM of Korean.

A Linear Wave Equation Over Mild-Sloped Bed from Double Integration (이중적분을 이용한 완경사면에서의 선형파 방정식)

  • Kim, Hyo-Seob;Jung, Byung-Soon;Lee, Ye-Won
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.12 no.3
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    • pp.165-172
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    • 2009
  • A set of equations for description of transformation of harmonic waves is proposed here. Velocity potential function and separation of variables are introduced for the derivation. The continuity equation is in a vertical plane is integrated through the water so that a horizontal one-dimensional wave equation is produced. The new equation composed of the complex velocity potential function, further be modified into. A set up of equations composed of the wave amplitude and wave phase gradient. The horizontally one-dimensional equations on the wave amplitude and wave phase gradient are the first and second-order ordinary differential equations. They are solved in a one-way marching manner starting from a side where boundary values are supplied, i.e. the wave amplitude, the wave amplitude gradient, and the wave phase gradient. Simple spatially-centered finite difference schemes are adopted for the present set of equations. The equations set is applied to three test cases, Booij's inclined plane slope profile, Massel's smooth bed profile, and Bragg's wavy bed profile. The present equations set is satisfactorily verified against existing theories including Massel's modified mild-slope equation, Berkhoff's mild-slope equation, and the full linear equation.

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