• 제목/요약/키워드: symmetric function

검색결과 459건 처리시간 0.025초

SYMMETRY OF MINIMAL GRAPHS

  • Jin, Sun Sook
    • 충청수학회지
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    • 제23권2호
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    • pp.251-256
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    • 2010
  • In this article, we consider a minimal graph in $R^3$ which is bounded by a Jordan curve and a straight line. Suppose that the boundary is symmetric with the reflection under a plane, then we will prove that the minimal graph is itself symmetric under the reflection through the same plane.

FPGA를 이용한 전파천문용 디지털 필터 설계에 관한 기본연구 (A Study on the Digital Filter Design for Radio Astronomy Using FPGA)

  • 정구영;노덕규;오세진;염재환;강용우;이창훈;정현수;김광동
    • 융합신호처리학회논문지
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    • 제9권1호
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    • pp.62-74
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    • 2008
  • 본 논문에서는 전파천문용으로 사용하기 위한 대칭형 디지털 필터 코어의 설계를 제안한다. 본 논문에서는 Xilinx사의 Virtex-4 SX55 모델의 FPGA칩을 기반으로 한국우주전파관측망(Korean VLBI Network; KVN)의 자료획득시스템에서 요구하는 FIR 필터 코어의 기능을 VHDL 코드로 설계하였다. 본 논문에서 설계한 디지털 필터는 디지털 필터계수를 공유하여 시스템의 효율을 증대시킨 대칭형 구조(Symmetric Structure)를 갖는다. 대칭구조의 디지털 필터(Symmetric FIR Filter Unit; SFFU)는 제한된 시스템 클록을 이용하여 데이터의 처리를 효과적으로 수행하기 위해 병렬처리 방법을 사용한다. 따라서 본 논문에서는 SFFU의 효율적인 설계를 위해 전체적인 IP core의 합성 및 실험에는 통합 합성 소프트웨어 ISE Foundation을 사용하였으며, GUI 환경이 뛰어난 core generator를 활용하였다. 설계한 디지털 필터 코어의 합성 결과, 최대 동작 주파수는 260MHz를 약간 상회하는 수준까지 달성하였으며, 슬라이스, LUT 등의 리소스 사용량은 40% 이하임을 확인하였다 또한 Mentor Graphics사의 Modelsim 6.la 버전을 이용하여 SFFU(Symmetric FIR Filter Unit)의 시뮬레이션을 수행한 결과, 오류 없이 작동하는 것을 확인하였다. SFFU의 기능을 확인하기 위하여 추가적으로 Matlab을 이용하여 의사 신호를 이용한 시뮬레이션을 수행하였다. 시뮬레이션과 설계한 디지털 FIR 필터의 비교실험결과에서 FIR 필터의 기능을 수행하고 있음을 확인할 수 있어 본 논문에서 FPGA와 VHDL을 이용하여 설계한 대칭구조의 디지털 FIR 필터의 유효성을 확인할 수 있었다.

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Stable activation-based regression with localizing property

  • Shin, Jae-Kyung;Jhong, Jae-Hwan;Koo, Ja-Yong
    • Communications for Statistical Applications and Methods
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    • 제28권3호
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    • pp.281-294
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    • 2021
  • In this paper, we propose an adaptive regression method based on the single-layer neural network structure. We adopt a symmetric activation function as units of the structure. The activation function has a flexibility of its form with a parametrization and has a localizing property that is useful to improve the quality of estimation. In order to provide a spatially adaptive estimator, we regularize coefficients of the activation functions via ℓ1-penalization, through which the activation functions to be regarded as unnecessary are removed. In implementation, an efficient coordinate descent algorithm is applied for the proposed estimator. To obtain the stable results of estimation, we present an initialization scheme suited for our structure. Model selection procedure based on the Akaike information criterion is described. The simulation results show that the proposed estimator performs favorably in relation to existing methods and recovers the local structure of the underlying function based on the sample.

MULTIVALENT NON-CARATHÉODORY FUNCTIONS INVOLVING HIGHER ORDER DERIVATIVES

  • Daniel Breaz;Kadhavoor Ragavan Karthikeyan;Sakkarai Lakshmi;Alagiriswamy Senguttuvan
    • 대한수학회논문집
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    • 제39권3호
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    • pp.657-671
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    • 2024
  • In this paper, we use higher order derivatives with regard to symmetric points to introduce a class of multivalent starlike functions. The major deviation is that we define some differential characterizations that are subordinate to a function whose real part is not greater than zero. The primary outcomes of this study are initial coefficients and the Fekete-Szegő inequality for functions falling under the given class. Also, we have obtained an interesting subordination results involving symmetric functions. The results obtained here extend or unify the various other well-known and new results.

디지털 자동 초점을 위한 등방성 점확산함수 추정 (Estimation of Circularly Symmetric Point Spread Function for Digital Auto-Focusing)

  • 김동균;박영욱;이진희;백준기
    • 대한전자공학회논문지SP
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    • 제46권1호
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    • pp.7-13
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    • 2009
  • 본 논문은 디지털 자동초점을 위한 등방성 점확산함수 추정에 관한 새로운 방법을 제안한다. 제안하는 알고리듬은 영상의 윤곽에서 방향을 판단하고 방향에 따라 윤곽 프로파일을 수집한다. 수집한 윤곽 프로파일을 평균하여 계단응답을 만들고 등방성 점확산함수의 특징을 이용하여 점확산함수를 추정한다. 실험을 통해 열화된 영상에서 제안하는 알고리듬으로 점확산함수를 추정하는 과정을 보이고 정확성을 증명한다.

A non-symmetric non-periodic B3-spline finite strip method

  • Kim, Kyeong-Ho;Choi, Chang-Koon
    • Structural Engineering and Mechanics
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    • 제18권2호
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    • pp.247-262
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    • 2004
  • In the earlier application of the spline finite strip method(FSM), the uniform B3-spline functions were used in the longitudinal direction while the conventional interpolation functions were used in the transverse direction to construct the displacement filed in a strip. To overcome the shortcoming of the uniform B3-spline, non-periodic B-spline was developed as the displacement function. The use of non-periodic B3-spline function requires no tangential vectors at both ends to interpolate the geometry of shell and the Kronecker delta property is also satisfied at the end boundaries. Recently, non-periodic spline FSM which was modified to have a multiple knots at the boundary was developed for the shell analysis and applied to the analysis of bridges. In the formulation of a non-symmetric spline finite strip method, the concepts of non-periodic B3-spline and a stress-resultant finite strip with drilling degrees of freedom for a shell are used. The introduction of non-symmetrically spaced knots in the longitudinal direction allows the selective local refinement to improve the accuracy of solution at the connections or at the location of concentrated load. A number of numerical tests were performed to prove the accuracy and efficiency of the present study.

The Line n-sigraph of a Symmetric n-sigraph-V

  • Reddy, P. Siva Kota;Nagaraja, K.M.;Geetha, M.C.
    • Kyungpook Mathematical Journal
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    • 제54권1호
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    • pp.95-101
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    • 2014
  • An n-tuple ($a_1,a_2,{\ldots},a_n$) is symmetric, if $a_k$ = $a_{n-k+1}$, $1{\leq}k{\leq}n$. Let $H_n$ = {$(a_1,a_2,{\ldots},a_n)$ ; $a_k$ ${\in}$ {+,-}, $a_k$ = $a_{n-k+1}$, $1{\leq}k{\leq}n$} be the set of all symmetric n-tuples. A symmetric n-sigraph (symmetric n-marked graph) is an ordered pair $S_n$ = (G,${\sigma}$) ($S_n$ = (G,${\mu}$)), where G = (V,E) is a graph called the underlying graph of $S_n$ and ${\sigma}$:E ${\rightarrow}H_n({\mu}:V{\rightarrow}H_n)$ is a function. The restricted super line graph of index r of a graph G, denoted by $\mathcal{R}\mathcal{L}_r$(G). The vertices of $\mathcal{R}\mathcal{L}_r$(G) are the r-subsets of E(G) and two vertices P = ${p_1,p_2,{\ldots},p_r}$ and Q = ${q_1,q_2,{\ldots},q_r}$ are adjacent if there exists exactly one pair of edges, say $p_i$ and $q_j$, where $1{\leq}i$, $j{\leq}r$, that are adjacent edges in G. Analogously, one can define the restricted super line symmetric n-sigraph of index r of a symmetric n-sigraph $S_n$ = (G,${\sigma}$) as a symmetric n-sigraph $\mathcal{R}\mathcal{L}_r$($S_n$) = ($\mathcal{R}\mathcal{L}_r(G)$, ${\sigma}$'), where $\mathcal{R}\mathcal{L}_r(G)$ is the underlying graph of $\mathcal{R}\mathcal{L}_r(S_n)$, where for any edge PQ in $\mathcal{R}\mathcal{L}_r(S_n)$, ${\sigma}^{\prime}(PQ)$=${\sigma}(P){\sigma}(Q)$. It is shown that for any symmetric n-sigraph $S_n$, its $\mathcal{R}\mathcal{L}_r(S_n)$ is i-balanced and we offer a structural characterization of super line symmetric n-sigraphs of index r. Further, we characterize symmetric n-sigraphs $S_n$ for which $\mathcal{R}\mathcal{L}_r(S_n)$~$\mathcal{L}_r(S_n)$ and $$\mathcal{R}\mathcal{L}_r(S_n){\sim_=}\mathcal{L}_r(S_n)$$, where ~ and $$\sim_=$$ denotes switching equivalence and isomorphism and $\mathcal{R}\mathcal{L}_r(S_n)$ and $\mathcal{L}_r(S_n)$ are denotes the restricted super line symmetric n-sigraph of index r and super line symmetric n-sigraph of index r of $S_n$ respectively.

실험모드해석에 의한 승용차용 레디얼 타이어의 3차원 진동특성 (Experimental Modal Analysis for 3-D Vibration Characteristics of Radial Tire for Passenger Car under Free-Suspension)

  • 김용우;남진영
    • 한국자동차공학회논문집
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    • 제10권3호
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    • pp.227-236
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    • 2002
  • We have performed two kinds of experimental modal analyses fur a radial tire for passenger car under free-suspension. One is the modal analysis to obtain three-dimensional modes of tire using accelerometers and the other is the one to identify cavity resonance frequency using a pressure sensor. From the first analysis, we have obtained the three-dimensional natural modes, which makes it possible to grasp the features of the modes and to classify the vibrational modes into symmetric, non-symmetric, and antisymmetric modes in a simple way by using the experimental results. From the first and the second experimental analyses we have identified the cavity resonance frequency and its three-dimensional mode shape.