• Title/Summary/Keyword: B787

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GENERALIZED FORMS OF SWIATAK'S FUNCTIONAL EQUATIONS WITH INVOLUTION

  • Wang, Zhihua
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.3
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    • pp.779-787
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    • 2019
  • In this paper, we study two functional equations with two unknown functions from an Abelian group into a commutative ring without zero divisors. The two equations are generalizations of Swiatak's functional equations with an involution. We determine the general solutions of the two functional equations and the properties of the general solutions of the two functional equations under three different hypotheses, respectively. For one of the functional equations, we establish the Hyers-Ulam stability in the case that the unknown functions are complex valued.

COMPUTATION OF WEDDERBURN DECOMPOSITION OF GROUPS ALGEBRAS FROM THEIR SUBALGEBRA

  • Mittal, Gaurav;Sharma, Rajendra Kumar
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.3
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    • pp.781-787
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    • 2022
  • In this paper, we show that under certain conditions the Wedderburn decomposition of a finite semisimple group algebra 𝔽qG can be deduced from a subalgebra 𝔽q(G/H) of factor group G/H of G, where H is a normal subgroup of G of prime order P. Here, we assume that q = pr for some prime p and the center of each Wedderburn component of 𝔽qG is the coefficient field 𝔽q.

Torsional flexural steady state response of monosymmetric thin-walled beams under harmonic loads

  • Hjaji, Mohammed A.;Mohareb, Magdi
    • Structural Engineering and Mechanics
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    • v.52 no.4
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    • pp.787-813
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    • 2014
  • Starting with Hamilton's variational principle, the governing field equations for the steady state response of thin-walled beams under harmonic forces are derived. The formulation captures shear deformation effects due to bending and warping, translational and rotary inertia effects and as well as torsional flexural coupling effects due to the cross section mono-symmetry. The equations of motion consist of four coupled differential equations in the unknown displacement field variables. A general closed form solution is then developed for the coupled system of equations. The solution is subsequently used to develop a family of shape functions which exactly satisfy the homogeneous form of the governing field equations. A super-convergent finite element is then formulated based on the exact shape functions. Key features of the element developed include its ability to (a) isolate the steady state response component of the response to make the solution amenable to fatigue design, (b) capture coupling effects arising as a result of section mono-symmetry, (c) eliminate spatial discretization arising in commonly used finite elements, (d) avoiding shear locking phenomena, and (e) eliminate the need for time discretization. The results based on the present solution are found to be in excellent agreement with those based on finite element solutions at a small fraction of the computational and modelling cost involved.

A Unified ARIA-AES Cryptographic Processor Supporting Four Modes of Operation and 128/256-bit Key Lengths (4가지 운영모드와 128/256-비트 키 길이를 지원하는 ARIA-AES 통합 암호 프로세서)

  • Kim, Ki-Bbeum;Shin, Kyung-Wook
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.21 no.4
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    • pp.795-803
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    • 2017
  • This paper describes a dual-standard cryptographic processor that efficiently integrates two block ciphers ARIA and AES into a unified hardware. The ARIA-AES crypto-processor was designed to support 128-b and 256-b key sizes, as well as four modes of operation including ECB, CBC, OFB, and CTR. Based on the common characteristics of ARIA and AES algorithms, our design was optimized by sharing hardware resources in substitution layer and in diffusion layer. It has on-the-fly key scheduler to process consecutive blocks of plaintext/ciphertext without reloading key. The ARIA-AES crypto-processor that was implemented with a $0.18{\mu}m$ CMOS cell library occupies 54,658 gate equivalents (GEs), and it can operate up to 95 MHz clock frequency. The estimated throughputs at 80 MHz clock frequency are 787 Mbps, 602 Mbps for ARIA with key size of 128-b, 256-b, respectively. In AES mode, it has throughputs of 930 Mbps, 682 Mbps for key size of 128-b, 256-b, respectively. The dual-standard crypto-processor was verified by FPGA implementation using Virtex5 device.

Synthesis of $\textrm{TiB}_2$ Powder by Mechanical Alloying and the Effect of Zr and Ta Substitution for Ti (기계적합금법에 의한 $\textrm{TiB}_2$ 분말의 제조 및 Zr과 Ta이 합성에 미치는 영향)

  • Hwang, Yeon;Kang, Eul-Son
    • Korean Journal of Materials Research
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    • v.9 no.8
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    • pp.787-791
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    • 1999
  • TiB$_2$powders were prepared by mechanical alloying, and the effect of Zr and Ta substitution for Ti was investigated. It was possible to produce titanium diboride phase by mechanical alloying titanium and boron elemental powders for 280 hours. The amorphization reaction, a common process which occurs during mechanical alloying, has not been found. When zirconium of which atomic radius was larger than that of titanium was substituted for Ti, the alloying time was greatly reduced. On the contrary, substitution of tantalum for titanium prolonged the alloying time because of the less negative heat of formation of tantalum diboride than that of titanium diboride.

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Effects of Tempering Condition on the Microstructure and Mechanical Properties of 30MnB5 Hot-Stamping steel (핫스탬핑용 30MnB5강의 템퍼링 조건에 따른 미세조직 및 기계적 물성 연구)

  • Jeong, Junyeong;Park, Sang-Cheon;Shin, Ga-Young;Lee, Chang Wook;Kim, Tae-Jeong;Choi, Min-Su
    • Korean Journal of Metals and Materials
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    • v.56 no.11
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    • pp.787-795
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    • 2018
  • The effects of tempering condition on the microstructure and mechanical properties of 30MnB5 hot stamping steel were investigated in this study. Before the tempering, hot-stamped 30MnB5 steel was composed of only ${\alpha}^{\prime}$-martensite microstructure without precipitates. After the tempering at $180^{\circ}C$ for 120 min, nano-sized ${\varepsilon}$-carbides were precipitated in the ${\alpha}^{\prime}$-martensite laths. After tempering at $250^{\circ}C$ for 60 min, cementite was precipitated along the ${\alpha}^{\prime}$-martensite lath boundaries. The cementite was also observed in the specimens tempered at $350^{\circ}C$ for 30 min and $450^{\circ}C$ for 6 min, respectively. The globular ${\alpha}$-ferrite appeared at $350^{\circ}C-30min$ tempering, and the volume fraction of ${\alpha}$-ferrite increased when the tempering temperature was increased. The yield strength increased after tempering, and it reached a peak with the tempering condition of $180^{\circ}C-120min$, due to the nano-sized precipitates in the ${\alpha}^{\prime}$-martensite lath. After the tempering, the steel's ultimate tensile strength (UTS) was decreased due to the reduction in dislocation density and C segregation to lath boundaries. The highest elongation was observed at the $180^{\circ}C-120min$ tempering condition, due to the reduction of residual stress, and the lack of precipitates along the lath boundaries. The $180^{\circ}C-120min$ tempering condition was considered to have outstanding crash performance, according to toughness and anti-intrusion calculation results. In drop tower crash tests, the 30MnB5 door impact beam tempered at $180^{\circ}C$ for 120 min showed better crash performance compared to a 22MnB5 door impact beam.

Design of a MIMO Antenna Using a RF MEMS Element (RF MEMS 소자를 이용한 MIMO 안테나 설계)

  • Lee, Won-Woo;Rhee, Byung-Ho
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.24 no.12
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    • pp.1113-1119
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    • 2013
  • In this letter, a new approach is proposed for the design of a multi antenna for MIMO wireless devices. The proposed antenna covers various LTE(Long Term Evolution) service bands: band 17(704~746 MHz), band 13(746~787 MHz), band 5(824~894 MHz), and band 8(880~960 MHz). The proposed main antenna consists of a conventional monopole antenna with an inverted L-shaped slit for wideband operation. The proposed the LTE sub antenna is based on a switch loaded loop antenna structure, with a resonance frequency that can be controlled by capacitance of a logic circuit. The tuning technique for the LTE Rx antenna uses a RF MEMS(Micro-Electro mechanical system) to match the impedances to realize the bands of interest. Because the two proposed antennas are polarized orthogonally to each other, the ECC(Envelope Correlation Coefficient) characteristic between two antennas was measured to be very low (below 0.06) with an isolation characteristic below -20 dB between the two antennas in the operating overall LTE bands. The proposed antenna is particularly attractive for mobile devices that integrate LTE multiple systems.

Design of SC-FDE Transmission Structure to Cope with Narrow Band Interference (협대역 간섭신호 대응을 위한 SC-FDE 전송 구조 설계)

  • Joo, So-Young;Jo, Sung-Mi;Hwang, Chan-Ho;Jeong, Eui-Rim
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.22 no.5
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    • pp.787-793
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    • 2018
  • In this paper, we propose a new single carrier - frequency domain equalization (SC-FDE) structure to cope with narrow band interference. In the conventional SC-FDE structure, when a high-power narrow band interference exists, channel estimation and data recovery is difficult. To relieve from this problem, this paper proposes a new SC-FDE frame structure to enable frequency-domain channel estimation in the environments that exist narrow band interference. Specifically, in the conventional method, the channel estimation is performed in time-domain first and from that, the frequency-domain channel is obtained by Fourier transform. In contrast, we proposed a new SC-FDE structure to enable frequency-domain channel estimation directly from received signals without time-domain channel estimation. The receiver performance improvement is verified through computer simulation. According to the results, the proposed technique can detect the signal with less than 2 dB loss compared with jammer-free environments, while the conventional method does not communicate with each other.

The Analysis on Positioning Error of Recognition Schemes of Pilot Signal in Indoor TDoA Positioning System using Visible Light Communication (가시광 무선 통신을 이용한 TDoA 기반 실내 측위 시스템에서 파일럿 신호 인식 방식에 따른 측위 성능 분석)

  • Hwang, Junho;Yoo, Myungsik
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.37B no.9
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    • pp.787-794
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    • 2012
  • The visible light communication is considered as a next generation communication technology, when utilizes LED and PD for communication. Since it is easy to provide LOS communication environment along with cheap deployment cost, the positioning system based on VLC has been actively studied. However, the existing positioning system using VLC requires a complex computation and an additional deployment cost due to sensors for example. In this paper, we propose a new positioning system based on VLC which does not require additional complexity and the cost. In addition, the procedure for operating LED panels for positioning and the recognition schemes of pilot signal are proposed. The performance of recognition schemes of pilot signal is analyzed through the computer simulations.