• Title/Summary/Keyword: Representation of F

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AN ALGORITHM FOR MULTIPLICATIONS IN F2m

  • Oh, SeYoung;Yoon, ChungSup
    • Journal of the Chungcheong Mathematical Society
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    • v.15 no.2
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    • pp.85-96
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    • 2003
  • An efficient algorithm for the multiplication in a binary finite filed using a normal basis representation of $F_{2^m}$ is discussed and proposed for software implementation of elliptic curve cryptography. The algorithm is developed by using the storage scheme of sparse matrices.

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A Study on Analysis of Pseudo Noise Generator in Position Location Reporting System by W.F (Walsh 함수에 의한 PLR System에서의 의사잡음발생기 해석에 관한 연구)

  • An, Du-Su;Lee, Jae-Chun;Park, Jun-Hun
    • Proceedings of the KIEE Conference
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    • 1987.07b
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    • pp.1622-1624
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    • 1987
  • In general, pseudo noise generator(PNG) used for PLR System consists of linear feedback shift register. Based on a W.F. representation of shift registers, a method for analyzing operational characters & sequence of PNG are studied. PNG is characterized by the time-recursive equation & PNG sequence is analyzed by the output state variable equation. Methods studied in this paper are illustrated by appropriate example.

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Retinotopy of human visual cortex; A Study with 3T fMRI

  • 윤효운;정관진;임동미;조은미;송명성;연은경;박현욱
    • Proceedings of the KSMRM Conference
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    • 2002.11a
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    • pp.109-109
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    • 2002
  • Purpose: The aim of the study is to see the representation patterns of human visual cortex by perceiving some geometrical shapes. Method: 3 humans as subjects for the fMRI experiment. A classical block or box car design was used as experimental paradigm. 3 different types of fan shapes and concentric circles were presented.

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BoF based Action Recognition using Spatio-Temporal 2D Descriptor (시공간 2D 특징 설명자를 사용한 BOF 방식의 동작인식)

  • KIM, JinOk
    • Journal of Internet Computing and Services
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    • v.16 no.3
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    • pp.21-32
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    • 2015
  • Since spatio-temporal local features for video representation have become an important issue of modeless bottom-up approaches in action recognition, various methods for feature extraction and description have been proposed in many papers. In particular, BoF(bag of features) has been promised coherent recognition results. The most important part for BoF is how to represent dynamic information of actions in videos. Most of existing BoF methods consider the video as a spatio-temporal volume and describe neighboring 3D interest points as complex volumetric patches. To simplify these complex 3D methods, this paper proposes a novel method that builds BoF representation as a way to learn 2D interest points directly from video data. The basic idea of proposed method is to gather feature points not only from 2D xy spatial planes of traditional frames, but from the 2D time axis called spatio-temporal frame as well. Such spatial-temporal features are able to capture dynamic information from the action videos and are well-suited to recognize human actions without need of 3D extensions for the feature descriptors. The spatio-temporal BoF approach using SIFT and SURF feature descriptors obtains good recognition rates on a well-known actions recognition dataset. Compared with more sophisticated scheme of 3D based HoG/HoF descriptors, proposed method is easier to compute and simpler to understand.

The Cortical representation in Korean-English picture naming: fMRI study (한국어-영어 그림 명명 시 나타나는 대뇌 영역: fMRI 연구)

  • Choi Wonil;Cho Kyungdnk;Nam Kichun
    • Proceedings of the KSPS conference
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    • 2003.05a
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    • pp.93-96
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    • 2003
  • The present study was conducted to investigate the difference of cortical activation in naming the picture in Korean and English. Experimental design was 2(Korean, English) language condition x 4(no distractor, semantic related distractor, semantic unrelated distrator, corresponding distractor) distractor condition. language condition was between subject factor and distractor condition was within subject factor. The result was that Korean naming condition showed less cortical activation than English naming condition. The activation region was reported in each condition.

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STRICT TOPOLOGIES AND OPERATORS ON SPACES OF VECTOR-VALUED CONTINUOUS FUNCTIONS

  • Nowak, Marian
    • Journal of the Korean Mathematical Society
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    • v.52 no.1
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    • pp.177-190
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    • 2015
  • Let X be a completely regular Hausdorff space, and E and F be Banach spaces. Let $C_{rc}(X,E)$ be the Banach space of all continuous functions $f:X{\rightarrow}E$ such that f(X) is a relatively compact set in E. We establish an integral representation theorem for bounded linear operators $T:C_{rc}(X,E){\rightarrow}F$. We characterize continuous operators from $C_{rc}(X,E)$, provided with the strict topologies ${\beta}_z(X,E)$ ($z={\sigma},{\tau}$) to F, in terms of their representing operator-valued measures.

A STUDY OF THE BILATERAL FORM OF THE MOCK THETA FUNCTIONS OF ORDER EIGHT

  • Srivastava, Bhaskar
    • Journal of the Chungcheong Mathematical Society
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    • v.18 no.2
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    • pp.117-129
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    • 2005
  • We give a generalization of bilateral mock theta functions of order eight and show that they are $F_q$-functions. We also give an integral representation for these functions. We give a relation between mock theta functions of the first set and bilateral mock theta functions of the second set.

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GRӦBNER-SHIRSHOV BASIS AND ITS APPLICATION

  • Oh, Sei-Qwon;Park, Mi-Yeon
    • Journal of the Chungcheong Mathematical Society
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    • v.15 no.2
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    • pp.97-107
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    • 2003
  • An efficient algorithm for the multiplication in a binary finite filed using a normal basis representation of $F_{2^m}$ is discussed and proposed for software implementation of elliptic curve cryptography. The algorithm is developed by using the storage scheme of sparse matrices.

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