• Title/Summary/Keyword: symmetric structure

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Cyclic Structure Jacobi Semi-symmetric Real Hypersurfaces in the Complex Hyperbolic Quadric

  • Imsoon Jeong;Young Jin Suh
    • Kyungpook Mathematical Journal
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    • v.63 no.2
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    • pp.287-311
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    • 2023
  • In this paper, we introduce the notion of cyclic structure Jacobi semi-symmetric real hypersurfaces in the complex hyperbolic quadric Qm* = SO02,m/SO2SOm. We give a classifiction of when real hypersurfaces in the complex hyperbolic quadric Qm* having 𝔄-principal or 𝔄-isotropic unit normal vector fields have cyclic structure Jacobi semi-symmetric tensor.

SEMI-SYMMETRIC STRUCTURE JACOBI OPERATOR FOR REAL HYPERSURFACES IN THE COMPLEX QUADRIC

  • Imsoon Jeong;Gyu Jong Kim;Changhwa Woo
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.4
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    • pp.849-861
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    • 2023
  • In this paper, we introduce the notion of semi-symmetric structure Jacobi operator for Hopf real hypersufaces in the complex quadric Qm = SOm+2/SOmSO2. Next we prove that there does not exist any Hopf real hypersurface in the complex quadric Qm = SOm+2/SOmSO2 with semi-symmetric structure Jacobi operator. As a corollary, we also get a non-existence property of Hopf real hypersurfaces in the complex quadric Qm with either symmetric (parallel), or recurrent structure Jacobi operator.

Analysis of Symmetric Coupled Line with New Crossbar Embedded on Si-based Lossy Structure using the FDTD Method (실리콘에 기초한 새로운 크로스바 구조의 손실있는 대칭 결합선로에 대한 유한차분법을 이용한 해석)

  • Kim, Yoonsuk
    • Journal of the Korea Institute of Military Science and Technology
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    • v.4 no.2
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    • pp.122-129
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    • 2001
  • A characterization procedure for analyzing symmetric coupled MIS(Metal-Insulator-Semiconductor) transmission line is used the same procedure as a general single layer symmetric coupled line with perfect dielectric substrate from the extraction of the characteristic impedance and propagation constant for even- and odd-mode. In this paper, an analysis for a new substrate shielding symmetric coupled MIS structure consisting of grounded crossbar at the interface between Si and SiO2 layer using the Finite- Difference Time-Domain(FDTD) method is presented. In order to reduce the substrate effects on the transmission line characteristics, a shielding structure consisting of grounded crossbar lines over time-domain signal has been examined. Symmetric coupled MIS transmission line parameters for even- and odd-mode are investigated as the functions of frequency, and the extracted distributed frequency- dependent transmission line parameters and corresponding equivalent circuit parameters as well as quality factor for the new MIS crossbar embedded structure are also presented. It is shown that the quality factor of the symmetric coupled transmission line can be improved without significant change in the characteristic impedance and effective dielectric constant.

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Finger Vein Recognition Based on Multi-Orientation Weighted Symmetric Local Graph Structure

  • Dong, Song;Yang, Jucheng;Chen, Yarui;Wang, Chao;Zhang, Xiaoyuan;Park, Dong Sun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.9 no.10
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    • pp.4126-4142
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    • 2015
  • Finger vein recognition is a biometric technology using finger veins to authenticate a person, and due to its high degree of uniqueness, liveness, and safety, it is widely used. The traditional Symmetric Local Graph Structure (SLGS) method only considers the relationship between the image pixels as a dominating set, and uses the relevant theories to tap image features. In order to better extract finger vein features, taking into account location information and direction information between the pixels of the image, this paper presents a novel finger vein feature extraction method, Multi-Orientation Weighted Symmetric Local Graph Structure (MOW-SLGS), which assigns weight to each edge according to the positional relationship between the edge and the target pixel. In addition, we use the Extreme Learning Machine (ELM) classifier to train and classify the vein feature extracted by the MOW-SLGS method. Experiments show that the proposed method has better performance than traditional methods.

A New Symmetric Cascaded Multilevel Inverter Topology Using Single and Double Source Unit

  • Mohd. Ali, Jagabar Sathik;Kannan, Ramani
    • Journal of Power Electronics
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    • v.15 no.4
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    • pp.951-963
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    • 2015
  • In this paper, a new symmetric multilevel inverter is proposed. A simple structure for the cascaded multilevel inverter topology is also proposed, which produces a high number of levels with the application of few power electronic devices. The symmetric multilevel inverter can generate 2n+1 levels with a reduced number of power switches. The basic unit is composed of a single and double source unit (SDS-unit). The application of this SDS-unit is for reducing the number of power electronic components like insulated gate bipolar transistors, freewheeling diodes, gate driver circuits, dc voltage sources, and blocked voltages by switches. Various new algorithms are recommended to determine the magnitude of dc sources in a cascaded structure. Furthermore, the proposed topology is optimized for different goals. The proposed cascaded structure is compared with other similar topologies. For verifying the performance of the proposed basic symmetric and cascaded structure, results from a computer-based MATLAB/Simulink simulation and from experimental hardware are also discussed.

SYMMETRY OVER CENTERS

  • KIM, DONG HWA;LEE, YANG;SUNG, HYO JIN;YUN, SANG JO
    • Honam Mathematical Journal
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    • v.37 no.4
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    • pp.377-386
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    • 2015
  • The symmetric ring property was due to Lambek and provided many useful results in relation with noncommutative ring theory. In this note we consider this property over centers, introducing symmetric-over-center. It is shown that symmetric and symmetric-over-center are independent of each other. The structure of symmetric-over-center ring is studied in relation to various radicals of polynomial rings.

THE RIESZ DECOMPOSITION THEOREM FOR SKEW SYMMETRIC OPERATORS

  • Zhu, Sen;Zhao, Jiayin
    • Journal of the Korean Mathematical Society
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    • v.52 no.2
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    • pp.403-416
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    • 2015
  • An operator T on a complex Hilbert space $\mathcal{H}$ is called skew symmetric if T can be represented as a skew symmetric matrix relative to some orthonormal basis for $\mathcal{H}$. In this note, we explore the structure of skew symmetric operators with disconnected spectra. Using the classical Riesz decomposition theorem, we give a decomposition of certain skew symmetric operators with disconnected spectra. Several corollaries and illustrating examples are provided.

Modified AES having same structure in encryption and decryption (암호와 복호가 동일한 변형 AES)

  • Cho, Gyeong-Yeon;Song, Hong-Bok
    • Journal of Korea Society of Industrial Information Systems
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    • v.15 no.2
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    • pp.1-9
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    • 2010
  • Feistel and SPN are the two main structures in a block cipher. Feistel is a symmetric structure which has the same structure in encryption and decryption, but SPN is not a symmetric structure. In this paper, we propose a SPN which has a symmetric structure in encryption and decryption. The whole operations of proposed algorithm are composed of the even numbers of N rounds where the first half of them, 1 to N/2 round, applies a right function and the last half of them, (N+1)/2 to N round, employs an inverse function. And a symmetry layer is located in between the right function layer and the inverse function layer. In this paper, AES encryption and decryption function are selected for the right function and the inverse function, respectively. The symmetric layer is composed with simple matrix and round key addition. Due to the simplicity of the symmetric SPN structure in hardware implementation, the proposed modified AES is believed to construct a safe and efficient cipher in Smart Card and RFID environments where electronic chips are built in.

Symmetric Paths: Their Structures and Relations

  • Nam, Seungho
    • Language and Information
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    • v.17 no.1
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    • pp.1-16
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    • 2013
  • The goal of this paper is two-fold: (i) the paper aims to characterize unique semantics of so called "symmetric" locatives like across the street - this will provide a guiding semantics for annotating a variety of paths; and (ii) the paper claims that we need "symmetric" paths to give a unified account of the various semantic effects of symmetric locatives. The paper illustrates several semantic effects induced by symmetric locatives: (i) symmetric underspecification, (ii) path-/event-quantification, (iii) static symmetric relations, and (iv) the symmetric inference by the adverb back. The paper defines the semantic class of symmetric locatives, and accounts for the symmetry effects in terms of properties and relations of Path Structure proposed by Nam (1995).

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