• Title/Summary/Keyword: partial function

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Theory of High Resolution TEM Image Formation: Coherence (2) (TEM 관련 이론해설(7): 투과전자현미경의 고분해능 영상이론: 결맞음 (2))

  • Lee, Hwack-Joo
    • Applied Microscopy
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    • v.36 no.1
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    • pp.1-6
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    • 2006
  • In this review, the important ideas of coherence theory are introduced. The transfer function and damping envelopes of the microscope due to temporal and spatial coherence are described. The passbands and the condition of Scherzer focus are discussed in associated with the resolution of transmission electron microscope. The characterization of coherence is also described.

HOW THE PARAMETER ε INFLUENCE THE GROWTH RATES OF THE PARTIAL QUOTIENTS IN GCFε EXPANSIONS

  • Zhong, Ting;Shen, Luming
    • Journal of the Korean Mathematical Society
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    • v.52 no.3
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    • pp.637-647
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    • 2015
  • For generalized continued fraction (GCF) with parameter ${\epsilon}(k)$, we consider the size of the set whose partial quotients increase rapidly, namely the set $$E_{\epsilon}({\alpha}):=\{x{\in}(0,1]:k_{n+1}(x){\geq}k_n(x)^{\alpha}\;for\;all\;n{\geq}1\}$$, where ${\alpha}$ > 1. We in [6] have obtained the Hausdorff dimension of $E_{\epsilon}({\alpha})$ when ${\epsilon}(k)$ is constant or ${\epsilon}(k){\sim}k^{\beta}$ for any ${\beta}{\geq}1$. As its supplement, now we show that: $$dim_H\;E_{\epsilon}({\alpha})=\{\frac{1}{\alpha},\;when\;-k^{\delta}{\leq}{\epsilon}(k){\leq}k\;with\;0{\leq}{\delta}<1;\\\;\frac{1}{{\alpha}+1},\;when\;-k-{\rho}<{\epsilon}(k){\leq}-k\;with\;0<{\rho}<1;\\\;\frac{1}{{\alpha}+2},\;when\;{\epsilon}(k)=-k-1+\frac{1}{k}$$. So the bigger the parameter function ${\epsilon}(k_n)$ is, the larger the size of $E_{\epsilon}({\alpha})$ becomes.

Clinical Appliance of Konus Telescope Denture and Bar-Retained Overdenture on Partially Edenturous Patient (Bar attachment와 Konus telescope를 이용한 부분 무치악 환자의 수복)

  • Choi, Sung-Ho;Shim, Jun-Sung;Lee, Ho-Yong;Lee, Keun-Woo
    • Journal of Dental Rehabilitation and Applied Science
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    • v.18 no.2
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    • pp.119-126
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    • 2002
  • The purpose of this study was to restorate a patient who has a few remaining teeth with #15,23,24 supported Konus telescope denture in Maxillar and #44,43,33,34 supported Dolder bar retained overdenture in Mandible. Konus telescope and bar retained overdenture was taken better results in retention, support, stability compair with regular Removable partial denture. In Removable partial denture, the change of remaining teeth and edentulous ridge is natural. But Konus telescope and bar retained overdenture is a little effected in this change, so it is possiblble in long-term use. In cosider of patient's medical history and the possibility of additional tooth loss, Konus telescope denture can be easily repaired. Compaired with Konus telescope and bar retained overdenture showed high stability and easy cleansing because of rigid support, cross - arch splinting, and simple design. In delivery, patient had a difficulty with removal of denture and plaque control, but showed better condition, good oral hygienic care. Patient satisfied with denture functionally and esthetically. This study showed Konus telescope and bar retained overdenture was effective for treatment of patient remaing a few teeth in function, esthetic and psycologic satisfaction.

Non-stationary mixed problem of elasticity for a semi-strip

  • Reut, Viktor;Vaysfeld, Natalya;Zhuravlova, Zinaida
    • Coupled systems mechanics
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    • v.9 no.1
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    • pp.77-89
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    • 2020
  • This study is dedicated to the dynamic elasticity problem for a semi-strip. The semi-strip is loaded by the dynamic load at the center of its short edge. The conditions of fixing are given on the lateral sides of the semi-strip. The initial problem is reduced to one-dimensional problem with the help of Laplace's and Fourier's integral transforms. The one-dimensional boundary problem is formulated as the vector boundary problem in the transform's domain. Its solution is constructed as the superposition of the general solution for the homogeneous vector equation and the partial solution for the inhomogeneous vector equation. The matrix differential calculation is used for the deriving of the general solution. The partial solution is constructed with the help of Green's matrix-function, which is searched as the bilinear expansion. The case of steady-state oscillations is considered. The problem is reduced to the solving of the singular integral equation. The orthogonalization method is applied for the calculations. The stress state of the semi-strip is investigated for the different values of the frequency.

An Easy Way to Derive the Fourier Transforms of the Truncated Raised-Cosine Function and the n-th Order Powers of it Using Partial-Response System Concept : A Recursive Formula (상승 Cosine 함수와 그 n-제곱 함수의 Fourier 변환을 구하기 위한 용이한 방법: 부분 응답 시스 템 개념을 이용한 순환 공식)

  • 오용선;강창언
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.1
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    • pp.29-37
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    • 1992
  • In this paper, a new and easy analytical method to get the Fourier transforms of a popular type of truncated raised cosine function and its powers (n=1, 2, :1‥‥ : positive integers) Is proposed. This new. method is based on the concept of the ( 1+D)_type partial response system, and the procedure is more compact than the conventional method using differentiations. Especially, the results are obtained as a sum of three functions which are easily manageable for each power And they are recursively related to their powers. Therefore, they can be excellently applied to the computer-aided numerical solutions.

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Dynamic analysis of spindle system with magnetic coupling(1) (마그네틱 커플링을 장착한 축계의 동적해석(I))

  • Kim, S.K.;Lee, S.J.;Lee, J.M.
    • Journal of the Korean Society for Precision Engineering
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    • v.11 no.4
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    • pp.99-105
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    • 1994
  • In this study, the transverse and the torsional vibration analyses of a precision dynamic drive system with the magnetic coupling are accomplished. The force of the magnetic coupling is regarded as an equivalent transverse stiffness, which has a nonlinearity as a function of the gap and the eccentricity between a driver and a follower. Such an equivalent stiffness is calculated by and determined by the physical law and the calculated equivalent stiffness is modelled as the truss element. The form of the torque function transmitted through the magnetic coupling is a sinusoidal and such an equivalent angular stiffness, which represents the torque between a driver and a follower, is modelled as a nonlinear spring. The main spindle connected to a follower is assumed to a rigid body. And then finally we have the nonlinear partial differential equation with respect to the angular displacements. Through the procedure mentioned above, we accomplish the results of the torsional vibration analysis in a spindle system with the magnetic coupling.

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Prosthetic rehabilitation of marginal mandibulectomized patient using implant-supported removable partial denture (하악골 변연절제술 환자에서 임플란트를 지대치로 이용한 가철성 국소의치 수복 증례)

  • Baek, Chang-Hyun;Heo, Seong-Joo;Koak, Jai-Young;Kim, Seong-Kyun;Park, Ji-Man
    • The Journal of Korean Academy of Prosthodontics
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    • v.54 no.2
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    • pp.126-131
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    • 2016
  • Surgical management of oral cancer results in compromised masticatory and swallowing function which affects patient in social and psychological aspects due to reduced phonetic ability and facial deformity, thus, it is imperative to provide applicable prosthetic treatment to overcome such complications. This clinical study describes rehabilitation of a patient with squamous cell carcinoma treated with marginal mandibulectomy and implantation on preserved posterior portion of mandible to provide stability and support for subsequent denture treatment. Kennedy class IV removable partial denture has provided satisfactory results in esthetics and function. Bone level stability around implants was reported to be maintained during eight months of clinical observation.

SINGULAR INNER FUNCTIONS OF $L^{1}-TYPE$

  • Izuchi, Keiji;Niwa, Norio
    • Journal of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.787-811
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    • 1999
  • Let M be the maximal ideal space of the Banach algebra $H^{\infty}$ of bounded analytic functions on the open unit disc $\triangle$. For a positive singular measure ${\mu}\;on\;{\partial\triangle},\;let\;{L_{+}}^1(\mu)$ be the set of measures v with $0\;{\leq}\;{\nu}\;{\ll}\;{\mu}\;and\;{{\psi}_{\nu}}$ the associated singular inner functions. Let $R(\mu)\;and\;R_0(\mu)$ be the union sets of $\{$\mid$\psiv$\mid$\;<\;1\}\;and\;\{$\mid${\psi}_{\nu}$\mid$\;<\;0\}\;in\;M\;{\setminus}\;{\triangle},\;{\nu}\;\in\;{L_{+}}^1(\mu)$, respectively. It is proved that if $S(\mu)\;=\;{\partial\triangle}$, where $S(\mu)$ is the closed support set of $\mu$, then $R(\mu)\;=\;R0(\mu)\;=\;M{\setminus}({\triangle}\;{\cup}\;M(L^{\infty}(\partial\triangle)))$ is generated by $H^{\infty}\;and\;\overline{\psi_{\nu}},\;{\nu}\;{\in}\;{L_1}^{+}(\mu)$. It is proved that %d{\theta}(S(\mu))\;=\;0$ if and only if there exists as Blaschke product b with zeros $\{Zn\}_n$ such that $R(\mu)\;{\subset}\;{$\mid$b$\mid$\;<\;1}\;and\;S(\mu)$ coincides with the set of cluster points of $\{Zn\}_n$. While, we proved that $\mu$ is a sum of finitely many point measure such that $R(\mu)\;{\subset}\;\{$\mid${\psi}_{\lambda}$\mid$\;<\;1}\;and\;S(\lambda)\;=\;S(\mu)$. Also it is studied conditions on \mu for which $R(\mu)\;=\;R0(\mu)$.

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Reducing PAPR of OFDM Signals Using Modified Partial Transmit Sequences Technique Based on Erasure Decoding (소실 복호 기반의 수정된 PTS 기법을 이용한 OFDM 신호의 PAPR 감소)

  • Kong, Min-Han;Song, Moon-Kyou
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.8C
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    • pp.775-781
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    • 2007
  • In this paper, a modified PTS(Partial Transmit Sequences) technique that uses erasure decoding of RS (Reed-Solomon) codes is presented. At the transmitter, some check symbols in a RS codeword partitioned into subblocks are phase-rotated by phase factors. The receiver decodes received codewords by regarding the phase-rotated check symbols as erasures. Hence, this technique does not need to transmit the side information about the phase factors chosen at the transmitter. The complexity of the receiver is also reduced since the estimation process for the phase factors is not required in the receiver. There is no performance degradation due to the transmission error of the side information or the estimation error of the phase factors. To evaluate the performance of the proposed PTS technique, the CCDF(Complementary Cumulative Distribution Function) of PAPR and the BER(Bit Error Rate) are compared with those of the conventional PTS techniques.

A New Genetic Algorithm for Shortest Path Routing Problem (최단 경로 라우팅을 위한 새로운 유전자 알고리즘)

  • ;R.S. Ramakrishna
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.27 no.12C
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    • pp.1215-1227
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    • 2002
  • This paper presents a genetic algorithmic approach to shortest path (SP) routing problem. Variable-length chromosomes (strings) and their genes (parameters) have been used for encoding the problem. The crossover operation that exchanges partial chromosomes (partial-routes) at positionally independent crossing sites and the mutation operation maintain the genetic diversity of the population. The proposed algorithm can cure all the infeasible chromosomes with a simple repair function. Crossover and mutation together provide a search capability that results in improved quality of solution and enhanced rate of convergence. Computer simulations show that the proposed algorithm exhibits a much better quality of solution (route optimality) and a much higher rate of convergence than other algorithms. The results are relatively independent of problem types (network sizes and topologies) for almost all source-destination pairs.