• Title/Summary/Keyword: symmetric space etc.

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Sequence Spaces of Fuzzy Real Numbers Using Fuzzy Metric

  • Tripathy, Binod Chandra;Borgohain, Stuti
    • Kyungpook Mathematical Journal
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    • v.54 no.1
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    • pp.11-22
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    • 2014
  • The sequence spaces $c^F$(M), $c^F_0$(M) and ${\ell}^F$(M) of fuzzy real numbers with fuzzy metric are introduced. Some properties of these sequence spaces like solidness, symmetricity, convergence-free etc. are studied. We obtain some inclusion relations involving these sequence spaces.

On I-Convergent Double Sequences of Fuzzy Real Numbers

  • Tripathy, Binod Chandra;Sarma, Bipul
    • Kyungpook Mathematical Journal
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    • v.52 no.2
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    • pp.189-200
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    • 2012
  • In this article we introduce the class of I-convergent double sequences of fuzzy real numbers. We have studied different properties like solidness, symmetricity, monotone, sequence algebra etc. We prove that the class of I-convergent double sequences of fuzzy real numbers is a complete metric spaces.

Design and Implementation of Lightweight Encryption Algorithm on OpenSSL (OpenSSL 상에서 LEA 설계 및 구현)

  • Park, Gi-Tae;Han, Hyo-Joon;Lee, Jae-Hwoon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39B no.12
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    • pp.822-830
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    • 2014
  • Recently, A Security service in Internet environments has been more important and the use of SSL & TLS is increasing for the personel homepage as well as administrative institutions. Also, IETF suggests using DTLS, which can provide a security service to constrained devices with lower CPU power and limited memory space under IoT environments. In this paper, we implement LEA(Lightweight Encryption Algorithm) algorithm and apply it to OpenSSL. The implemented algorithm is compared with other symmetric encryption algorithms such as AES etc, and it shows the superior performance in calculation speed.

A New Ordering Method Using Elimination Trees (삭제나무를 이용한 새로운 순서화 방법)

  • Park, Chan-Kyoo;Doh, Seung-yong;Park, Soon-dal
    • Journal of Korean Institute of Industrial Engineers
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    • v.29 no.1
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    • pp.78-89
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    • 2003
  • Ordering is performed to reduce the amount of fill-ins of the Cholesky factor of a symmetric positive definite matrix. This paper proposes a new ordering algorithm that reduces the fill-ins of the Cholesky factor iteratively by elimination tree rotations and clique separators. Elimination tree rotations have been used mainly to reorder the rows of the permuted matrix for the efficiency of storage space management or parallel processing, etc. In the proposed algorithm, however, they are repeatedly performed to reduce the fill-ins of the Cholesky factor. In addition, we presents a simple method for finding a minimal node separator between arbitrary two nodes of a chordal graph. The proposed reordering procedure using clique separators enables us to obtain another order of rows of which the number of till-ins decreases strictly.

Recognizing asymmetric moire patterns for human spinal deformity detection

  • Kim, Hyoung-Seop;Hiroshi UENO;Seiji ISHIKAWA;Yoshinori Otsuka
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.568-571
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    • 1997
  • Recently, the number of techniques for analyzing medical images has been increasing in computer vision, employing X-ray CT images, ultrasound images, MR images, moire topographic images, etc. Spinal deformity is a serious problem especially for teenagers and medical doctors inspect moire topographic images of their backs visually for the primary screening. If a subject is normal, the moire image is almost symmetric with respect to the middle line of the subject's back, otherwise it shows asymmetric shape. In this paper, an image analysis technique is described for discriminating suspicious cases from normal in human spinal deformity by recognizing asymmetric moire images of human backs. The principal axes which are sensitive to asymmetry of the moire image are extracted at two parts on a subject's back and their angles are evaluated with respect to the detected middle line of the back. The two angles compose a 2-D feature space and inspected cases are divided into two clusters in the space by a linear discriminant function based on the Mahalanobis distance. Given 120 cases, 60 normal and 60 abnormal, the leave-out method was applied for the recognition and 75% recognition rate was achieved.

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Fabrication of a Circular Coil for the Study on the Magnetic Field Tolerance of TMP

  • Baik, Kyungmin;Cheung, Wan-Sup;Lim, Jong-Yeon
    • Proceedings of the Korean Vacuum Society Conference
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    • 2013.02a
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    • pp.153-153
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    • 2013
  • Turbomolecular pump (TMP) is widely used to obtain and maintain high vacuum by spinning turbine rotors to migrate gas molecules to the exhaust of the pump. However, performance of the TMP has not been well observed when it is influenced by strong magnetic field. Such study may give useful information about magnetic field tolerance of TMP, development of magnetic shielding technique for key components of TMP, etc. For this purpose, magnetic field induced by a circular current source was firstly designed and investigated. Using spherical coordinates and vector potential, magnetic field throughout the space including axis of rotation was calculated. Due to the rotational symmetry of the circular current source, induced magnetic field is azimuthally symmetric and, thus, is analyzed by radial and polar components of the magnetic fields. In order to enhance the numerical accuracy for the calculation, magnetic field was expressed by complete elliptic integrals of first and second kinds. According to the calculation, when 1 A of DC-current passes through a 1 turned circular wire with 50 cm of diameter, overall magnitude of the inducedmagnetic field was about 0.02 Gauss, which was used to the determination of the current and the number of turns of wires to fabricate the coil for the study on the magnetic field tolerance of TMP.

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A Study on Landscape Formation Techniques of Summer Palace as Royal Garden in China (이화원 황가원림의 경관연출기법 연구)

  • An, Seung-Hong;Yoon, Sung-Yung;Yeom, Sung-Jin;Yoon, Sang-Jun;Lee, Won-Ho
    • Journal of the Korean Institute of Traditional Landscape Architecture
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    • v.36 no.4
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    • pp.18-27
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    • 2018
  • This study is a basic one analyzing the scenic characteristics that are created in Royal Garden in China while taking into consideration that Royal Garden in China is a fruit compiling all of the Chinese classical gardens. In case of Summer Palace in China, it adopted various kinds of landscape displaying techniques for fulfilling the desires of an Emperor who wanted to appreciate beautiful landscapes all the time. Accordingly, the scenic characteristics can be summarized as follows. First, Summer Garden creates various kinds of garden landscapes through various kinds of landscape creation techniques, such as, Borrowed Landscape, Central One, Background One, Symmetrical One, Axial One, Dividing One, Framed One, Window One and Complementing One, etc. Second, it was created in order for visitors to focus on appreciation of landscapes by allocating hard points while considering the symmetric structure, Structure of Long Corridor and Visual Physiology of a building on the basis of the South-North Pivotal Line. Third, it utilized the scenic spot transferring technique that introduces the landscapes of scenic spots in various regions of China to Summer Palace to be matched to the unique geological characteristics of Summer Garden. It was found that Summer Palace adopted the common landscaping techniques in Jiangnan Region of Ancient China since the landscape of Jichang Garden in Hangzhou and that of Shan Tang Jie in Suzhou are reproduced and transferred. It was found that 3 methods mentioned above have the effects that attract sightseers' eyes naturally and make their interests concentrated as well as reviving the feeling of space in a garden and creating abundant scenic beauty.