• Title/Summary/Keyword: operator matrix

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An efficient Component Retrieval Scheme for multiple facet values and multiple facets (다중 패싯값과 다중 패싯을 위한 컴포넌트의 효율적인 검색 방법)

  • 금영욱
    • Journal of the Korea Society of Computer and Information
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    • v.7 no.3
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    • pp.16-22
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    • 2002
  • Effective component retrieval is very essential for component based software development. Facet scheme is one of typical component retrieval methods and is being widely researched. In this paper, an efficient algorithm which supports a query with logical operator NOT for more than one facet values is presented. With this new algorithm the complexity to calculate a weighted synaptic connectivity matrix is enhanced. Also a new scheme is presented to support a query with logical operators for multiple facets.

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On triple sequence space of Bernstein-Stancu operator of rough Iλ-statistical convergence of weighted g (A)

  • Esi, A.;Subramanian, N.;Esi, Ayten
    • Annals of Fuzzy Mathematics and Informatics
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    • v.16 no.3
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    • pp.337-361
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    • 2018
  • We introduce and study some basic properties of rough $I_{\lambda}$-statistical convergent of weight g (A), where $g:{\mathbb{N}}^3{\rightarrow}[0,\;{\infty})$ is a function statisying $g(m,\;n,\;k){\rightarrow}{\infty}$ and $g(m,\;n,\;k){\not{\rightarrow}}0$ as $m,\;n,\;k{\rightarrow}{\infty}$ and A represent the RH-regular matrix and also prove the Korovkin approximation theorem by using the notion of weighted A-statistical convergence of weight g (A) limits of a triple sequence of Bernstein-Stancu polynomials.

EFFICIENT AND ACCURATE FINITE DIFFERENCE METHOD FOR THE FOUR UNDERLYING ASSET ELS

  • Hwang, Hyeongseok;Choi, Yongho;Kwak, Soobin;Hwang, Youngjin;Kim, Sangkwon;Kim, Junseok
    • The Pure and Applied Mathematics
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    • v.28 no.4
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    • pp.329-341
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    • 2021
  • In this study, we consider an efficient and accurate finite difference method for the four underlying asset equity-linked securities (ELS). The numerical method is based on the operator splitting method with non-uniform grids for the underlying assets. Even though the numerical scheme is implicit, we solve the system of discrete equations in explicit manner using the Thomas algorithm for the tri-diagonal matrix resulting from the system of discrete equations. Therefore, we can use a relatively large time step and the computation of the ELS option pricing is fast. We perform characteristic computational test. The numerical test confirm the usefulness of the proposed method for pricing the four underlying asset equity-linked securities.

LINEAR ISOMORPHIC EULER FRACTIONAL DIFFERENCE SEQUENCE SPACES AND THEIR TOEPLITZ DUALS

  • RAJ, KULDIP;AIYUB, M.;SAINI, KAVITA
    • Journal of applied mathematics & informatics
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    • v.40 no.3_4
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    • pp.657-668
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    • 2022
  • In the present paper we introduce and study Euler sequence spaces of fractional difference and backward difference operators. We make an effort to prove that these spaces are BK-spaces and linearly isomorphic. Further, Schauder basis for Euler fractional difference sequence spaces $e^{\varsigma}_{0,p}({\Delta}^{(\tilde{\beta})},\;{\nabla}^m)$ and $e^{\varsigma}_{c,p}({\Delta}^{(\tilde{\beta})},\;{\nabla}^m)$ are also elaborate. In addition to this, we determine the 𝛼-, 𝛽- and 𝛾- duals of these spaces.

Language Identification by Fusion of Gabor, MDLC, and Co-Occurrence Features (Gabor, MDLC, Co-Occurrence 특징의 융합에 의한 언어 인식)

  • Jang, Ick-Hoon;Kim, Ji-Hong
    • Journal of Korea Multimedia Society
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    • v.17 no.3
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    • pp.277-286
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    • 2014
  • In this paper, we propose a texture feature-based language identification by fusion of Gabor, MDLC (multi-lag directional local correlation), and co-occurrence features. In the proposed method, for a test image, Gabor magnitude images are first obtained by Gabor transform followed by magnitude operator. Moments for the Gabor magniude images are then computed and vectorized. MDLC images are then obtained by MDLC operator and their moments are computed and vectorized. GLCM (gray-level co-occurrence matrix) is next calculated from the test image and co-occurrence features are computed using the GLCM, and the features are also vectorized. The three vectors of the Gabor, MDLC, and co-occurrence features are fused into a feature vector. In classification, the WPCA (whitened principal component analysis) classifier, which is usually adopted in the face identification, searches the training feature vector most similar to the test feature vector. We evaluate the performance of our method by examining averaged identification rates for a test document image DB obtained by scanning of documents with 15 languages. Experimental results show that the proposed method yields excellent language identification with rather low feature dimension for the test DB.

Reduction of Computing Time in Aircraft Control by Delta Operating Singular Perturbation Technique (델타연산자 섭동방법에 의한 항공기 동력학의 연산시간 감소)

  • Sim, Gyu Hong;Sa, Wan
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.3
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    • pp.39-49
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    • 2003
  • The delta operator approach and the singular perturbation technique are introduced. The former reduces the round-off error in the numerical computation. The latter reduces computing time by decoupling the original system into the fast and slow sub-systems. The aircraft dynamics consists of the Phugoid and short-period motions whether its model is longitudinal or lateral. In this paper, an approximated solutions of lateral dynamic model of Beaver obtained by using those two methods in compared with the exact solution. For open-loop system and closed-loop system, and approximated solution gets identical to the exact solution with only one iteration and without iteration, respectively. Therefore, it is shown that implementing those approaches is very effective in the flight dynamic and control.

CLASS II COMPOSITE RESIN RESTORATION USING ORTHODONTIC BANDS (교정용 밴드를 이용한 구치부 2급 와동의 복합레진 수복)

  • Park, Sung-Dong;Park, Ki-Tae
    • Journal of the korean academy of Pediatric Dentistry
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    • v.32 no.1
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    • pp.13-17
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    • 2005
  • Children and teenagers have a higher frequency of proximal surface caries in the posterior teeth than adults. For proximal restoration, class II amalgam or stainless steel crown has been widely used in the past, however composite resin restoration is getting ore popular due to it's superior cosmetic appearance. When applying composite resin on proximal area, various types of matrix bands can be utilized according to the operator's reference or skill. Such bands have several clinical effects including suitability for proximal margin, reduction of micro-leakage, moisture-control against saliva and ease finishing and polishing. In this case report, orthodontic bands were utilized instead of matrix bands as a remedy for proximal restorations in both primary and permanent teeth and their clinical advantages are as follows. 1. Orthodontic bands showed superior marginal adaptation compared to conventional matrix bands and moisture-control against saliva was excellent. 2. While applying composite resin, deformation of restoration material was estimated to be insignificant due to he rigidity of the orthodontic bands. 3. Natural tooth contour of the orthodontic bands facilitates to reproduce proximal tooth contour of the restoration. 4. In general, pediatric dentists are accustomed to applying orthodontic bands and this may allow pediatric dentists to make proximal composite restorations more efficiently than other dental specialists.

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A Methodology of the Information Retrieval System Using Fuzzy Connection Matrix and Document Connectivity Order (색인어 퍼지 관계와 서열기법을 이용한 정보 검색 방법론)

  • Kim, Chul;Lee, Seung-Chai;Kim, Byung-Ki
    • The Transactions of the Korea Information Processing Society
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    • v.3 no.5
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    • pp.1160-1169
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    • 1996
  • In this study, an experiment of information retrieval using fuzzy connection matrix of keywords was conducted. A query for retrieval was constructed from each keyword and Boolean operator such as AND, OR, NOT. In a workstation environment, the performance of the fuzzy retrieval system was proved to be considerably effective than that of the system using the crisp set theory. And both recall ratio and precision ratio showed that the proposed technique would be a possible alternative in future information retrieval. Some special features of this experimental system were ; ranking the results in the order of connectivity, making the retrieval results correspond flexibly by changing the threshold value, trying to accord the retrieval process with the retrieval semantics by treating the averse-connectivity (fuzzy value) as a semantic approximation between kewords.

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Function Embedding and Projective Measurement of Quantum Gate by Probability Amplitude Switch (확률진폭 스위치에 의한 양자게이트의 함수 임베딩과 투사측정)

  • Park, Dong-Young
    • The Journal of the Korea institute of electronic communication sciences
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    • v.12 no.6
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    • pp.1027-1034
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    • 2017
  • In this paper, we propose a new function embedding method that can measure mathematical projections of probability amplitude, probability, average expectation and matrix elements of stationary-state unit matrix at all control operation points of quantum gates. The function embedding method in this paper is to embed orthogonal normalization condition of probability amplitude for each control operating point into a binary scalar operator by using Dirac symbol and Kronecker delta symbol. Such a function embedding method is a very effective means of controlling the arithmetic power function of a unitary gate in a unitary transformation which expresses a quantum gate function as a tensor product of a single quantum. We present the results of evolutionary operation and projective measurement when we apply the proposed function embedding method to the ternary 2-qutrit cNOT gate and compare it with the existing methods.

Design of High Performance Multi-mode 2D Transform Block for HEVC (HEVC를 위한 고성능 다중 모드 2D 변환 블록의 설계)

  • Kim, Ki-Hyun;Ryoo, Kwang-Ki
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.18 no.2
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    • pp.329-334
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    • 2014
  • This paper proposes the hardware architecture of high performance multi-mode 2D forward transform for HEVC which has same number of cycles for processing any type of four TUs and yield high throughput. In order to make the original image which has high pixel and high resolution into highly compressed image effectively, the transform technique of HEVC supports 4 kinds of pixel units, TUs and it finds the optimal mode after performs each transform computation. As the proposed transform engine uses the common computation operator which is produced by analyzing the relationship among transform matrix coefficients, it can process every 4 kinds of TU mode matrix operation with 35cycles equally. The proposed transform block was designed by Verilog HDL and synthesized by using TSMC 0.18um CMOS processing technology. From the results of logic synthesis, the maximum operating frequency was 400MHz and total gate count was 214k gates which has the throughput of 10-Gpels/cycle with the $4k(3840{\times}2160)@30fps$ image.