• Title/Summary/Keyword: partial function

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Ab Initio Study of the Conformational Isomers of Tetraethyl and Triethyl Esters of Calix[4]arene

  • Choe, Jong-In;Lee, Sang-Hyun
    • Bulletin of the Korean Chemical Society
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    • v.25 no.4
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    • pp.553-556
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    • 2004
  • In this study we have performed ab initio computer simulations to investigate the conformational characteristics of the tetraethyl (1) and triethyl ester (2) of p-tert-butylcalix[4]arene. The structures of different conformational isomers for each compound have been optimized using ab initio RHF/6-31G methods. After optimization, B3LYP/6-31+G(d,p) single point calculations of the final structures are done to include the effect of electron correlation and the basis set with diffuse function and polarization function. Relative stability of tetraethyl ester (1) of p-tert-butylcalix[4]arene is in following order: cone (most stable) > partial cone > 1,3- alternate > 1,2-alternate isomer. Relative stability of triethyl ester (2) of p-tert-butylcalix[4]arene is in following order: cone (most stable) > 2-partial cone > 1-partial cone > 3-partial cone ~ 1,3-alternate ~ 1,2- alternate isomer.

A New Charge Analysis Derived From the Results of Semi-Emprical Mo-Lcao Calculation

  • Yilmaz, Hayriye;Ceyhan, Emre Cahit;Guzel, Yahya
    • Journal of the Korean Chemical Society
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    • v.56 no.2
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    • pp.195-200
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    • 2012
  • In this study we present a new approach for computing the partial atomic charge derived from the wavefunctions of molecules. This charge, which we call the "y_charge", was calculated by taking into account the energy level and orbital populations in each molecular orbital (MO). The charge calculations were performed in the software, which was developed by us, developed using the C# programming language. Partial atomic charges cannot be calculated directly from quantum mechanics. According to a partitioning function, the electron density of constituent molecular atoms depends on the electrostatic attraction field of the nucleus. Taking into account the Boltzmann population of each MO as a function of its energy and temperature we obtain a formula of partial charges.

The Identification of Vibration Sources in Optical Disk Drive Using PCF Method (PCF 기법을 이용한 광디스크 드라이브의 진동원 규명)

  • 함경훈;장영배;박노철;박영필
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.127-133
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    • 2002
  • After the vibration source is searched in optical disk drive as an information storage device broadly used the influence of it against FES(Focusing Error Signal) which is a kind of positioning error of pick up from the circuit is carefully examined. For that Purpose, partial coherence function method is applied on a simple multi-degree of freedom model made for the theoretical verification and it is practically introduced in optical disk drive for analyzing the effect of vibration source. Finally, partial coherence output spectrum is attentively observed in order to know which vibration source is a great influence on FES.

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Improved Model for Maximum Power Point Tracking (MPPT) of Solar System (태양광 시스템의 최대 전력지점 추적(MPPT) 정확도 향상을 위한 모델링)

  • Lee, YoungHyun;Lee, Jonghwan
    • Journal of the Semiconductor & Display Technology
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    • v.21 no.1
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    • pp.114-118
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    • 2022
  • The photovoltaic system is affected by various conditions such as temperature and irradiance. Because non-uniform irradiation and partial shading conditions affect the entire string of cells connected in series, a bypass diode is used to bypass the current flow normally. In order to find the maximum power point in partial shade conditions, it is necessary to estimate various methods of maximum power point tracking. In this paper, the hybrid method of MPPT using Lambert W function and perturbation & observation algorithm is proposed under partial shading conditions. The simulation results are obtained using MATLAB/Simulink and shows the improvement of the accuracy of MPPT.

APPLICATION OF PRODUCT OF THE MULTIVARIABLE A-FUNCTION AND THE MULTIVARIABLE SRIVASTAVA'S POLYNOMIALS

  • Kumar, Dinesh;Ayant, Frederic;Choi, Junesang
    • East Asian mathematical journal
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    • v.34 no.3
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    • pp.295-303
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    • 2018
  • Gautam et al. [9] introduced the multivariable A-function, which is very general, reduces to yield a number of special functions, in particular, the multivariable H-function. Here, first, we aim to establish two very general integral formulas involving product of the general class of Srivastava multivariable polynomials and the multivariable A-function. Then, using those integrals, we find a solution of partial differential equations of heat conduction at zero temperature with radiation at the ends in medium without source of thermal energy. The results presented here, being very general, are also pointed out to yield a number of relatively simple results, one of which is demonstrated to be connected with a known solution of the above-mentioned equation.

CONTINUOUS HAMILTONIAN DYNAMICS AND AREA-PRESERVING HOMEOMORPHISM GROUP OF D2

  • Oh, Yong-Geun
    • Journal of the Korean Mathematical Society
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    • v.53 no.4
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    • pp.795-834
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    • 2016
  • The main purpose of this paper is to propose a scheme of a proof of the nonsimpleness of the group $Homeo^{\Omega}$ ($D^2$, ${\partial}D^2$) of area preserving homeomorphisms of the 2-disc $D^2$. We first establish the existence of Alexander isotopy in the category of Hamiltonian homeomorphisms. This reduces the question of extendability of the well-known Calabi homomorphism Cal : $Diff^{\Omega}$ ($D^1$, ${\partial}D^2$)${\rightarrow}{\mathbb{R}}$ to a homomorphism ${\bar{Cal}}$ : Hameo($D^2$, ${\partial}D^2$)${\rightarrow}{\mathbb{R}}$ to that of the vanishing of the basic phase function $f_{\underline{F}}$, a Floer theoretic graph selector constructed in [9], that is associated to the graph of the topological Hamiltonian loop and its normalized Hamiltonian ${\underline{F}}$ on $S^2$ that is obtained via the natural embedding $D^2{\hookrightarrow}S^2$. Here Hameo($D^2$, ${\partial}D^2$) is the group of Hamiltonian homeomorphisms introduced by $M{\ddot{u}}ller$ and the author [18]. We then provide an evidence of this vanishing conjecture by proving the conjecture for the special class of weakly graphical topological Hamiltonian loops on $D^2$ via a study of the associated Hamiton-Jacobi equation.

STABILITY RESULTS OF POSITIVE WEAK SOLUTION FOR SINGULAR p-LAPLACIAN NONLINEAR SYSTEM

  • KHAFAGY, SALAH;SERAG, HASSAN
    • Journal of applied mathematics & informatics
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    • v.36 no.3_4
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    • pp.173-179
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    • 2018
  • In this paper, we investigate the stability of positive weak solution for the singular p-Laplacian nonlinear system $-div[{\mid}x{\mid}^{-ap}{\mid}{\nabla}u{\mid}^{p-2}{\nabla}u]+m(x){\mid}u{\mid}^{p-2}u={\lambda}{\mid}x{\mid}^{-(a+1)p+c}b(x)f(u)$ in ${\Omega}$, Bu = 0 on ${\partial}{\Omega}$, where ${\Omega}{\subset}R^n$ is a bounded domain with smooth boundary $Bu={\delta}h(x)u+(1-{\delta})\frac{{\partial}u}{{\partial}n}$ where ${\delta}{\in}[0,1]$, $h:{\partial}{\Omega}{\rightarrow}R^+$ with h = 1 when ${\delta}=1$, $0{\in}{\Omega}$, 1 < p < n, 0 ${\leq}$ a < ${\frac{n-p}{p}}$, m(x) is a weight function, the continuous function $b(x):{\Omega}{\rightarrow}R$ satisfies either b(x) > 0 or b(x) < 0 for all $x{\in}{\Omega}$, ${\lambda}$ is a positive parameter and $f:[0,{\infty}){\rightarrow}R$ is a continuous function. We provide a simple proof to establish that every positive solution is unstable under certain conditions.

Comparative study of off-clamp, laparoscopic partial nephrectomy (OCLPN) and conventional hilar control, laparoscopic partial nephrectomy (HCLPN) for renal tumors: One-year follow-up results of renal function change

  • Kang, Su Hwan;Rhew, Hyun Yul;Kim, Taek Sang
    • Kosin Medical Journal
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    • v.33 no.2
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    • pp.191-199
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    • 2018
  • Objectives: We designed the study to compare the oncologic and renal function outcomes of off-clamp, laparoscopic partial nephrectomy (OCLPN) and conventional laparoscopic partial nephrectomy (HCLPN) for renal tumors. Methods: Between March 2008 and July 2015, 114 patients who underwent laparoscopic partial nephrectomy (LPN) of a renal neoplasm were studied. We performed LPN without hilar clamp on 40 patients (OCLPN, Group 1), and conventional LPN with hilar control and renorrhaphy on another 40 patients (HCLPN, Group 2). We retrospectively reviewed the medical records of each patient's age, sex, R.E.N.A.L. nephrometry score (RNS), operation time, complications, hospitalization period, tumor size, positive resection margin, histologic classification of tumor, pathologic stage, Fuhrman grade, estimated blood loss (EBL), warm ischemic time (WIT), and estimated glomerular filtration rate (eGFR) before and one year after surgery. Results: There were no significant differences in age, sex, preoperative eGFR, EBL, surgical (anesthesia) time, and tumor size between the two groups. The mean eGFR was not significantly different between the OCLPN and HCLPN groups 1 month (95 and $86.2mL/min/1.73m^2$, respectively; P = 0.106), 6 months (92.9 and $83.6mL/min/1.73m^2$, respectively; P = 0.151) and 12 months (93.8 and $84.7mL/min/1.73m^2$, respectively; P = 0.077) postoperatively. The change in eGFR after one year was 3.9% in the OCLPN group and -7.9% in the HCLPN group. Conclusions: OCLPN was superior to HCLPN in preserving renal function one year after surgery, and there was no statistically significant difference in tumor treatment results.

Dynamic Added Variable Plots

  • Seo, Han-Son
    • Communications for Statistical Applications and Methods
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    • v.9 no.3
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    • pp.787-797
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    • 2002
  • Partial residual plots, augmented partial residual plots and CERES plots are basic diagnostic tools for dealing with curvature as a function of specific predictors in regression problem. However, it is known that these plots can miss a curve or show a false curve in some cases such as predictors are related each other. Dynamic display of these plots is developed and applied. Examples demonstrate that dynamic plots are useful for obtaining additional Information on the curvature.

An implant-supported removable partial denture for a patient with post-inflammatory scar contracture caused by burn complications: a clinical report

  • Kim, Jee-Hwan;Lee, Jae-Hoon
    • The Journal of Advanced Prosthodontics
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    • v.4 no.1
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    • pp.57-59
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    • 2012
  • The scars and contracture around the oral-facial region may cause difficulty in prosthodontic treatment to restore esthetics and function for the patients, who suffered severe burns. This article presents a technique that uses a fixed partial denture prepared with a conventional milling technique and an attachment to support anterior cantilever removable partial denture, thereby providing a more esthetically acceptable and functional result.