• 대한수학회지
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• 제58권1호
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• pp.123-132
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• 2021

Let K be a number field and L a finite abelian extension of K. Let E be an elliptic curve defined over K. The restriction of scalars ResKLE decomposes (up to isogeny) into abelian varieties over K $$Res^L_KE{\sim}{\bigoplus_{F{\in}S}}A_F,$$ where S is the set of cyclic extensions of K in L. It is known that if L is a quadratic extension, then AL is the quadratic twist of E. In this paper, we consider the case that K is a number field containing a primitive third root of unity, $L=K({\sqrt[3]{D}})$ is the cyclic cubic extension of K for some D ∈ K×/(K×)3, E = Ea : y2 = x3 + a is an elliptic curve with j-invariant 0 defined over K, and EaD : y2 = x3 + aD2 is the cubic twist of Ea. In this case, we prove AL is isogenous over K to $E_a^D{\times}E_a^{D^2}$ and a property of the Selmer rank of AL, which is a cubic analogue of a theorem of Mazur and Rubin on quadratic twists.

• ETRI Journal
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• 제42권5호
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• pp.781-789
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• 2020

In this study, an E-band low-noise amplifier (LNA) monolithic microwave integrated circuit (MMIC) has been designed using silicon-germanium 130-nm bipolar complementary metal-oxide-semiconductor technology to suppress unwanted signal gain outside operating frequencies and improve the signal gain and noise figures at operating frequencies. The proposed impedance-controllable filter has series (R_s) and parallel (R_p) resistors instead of a conventional inductor-capacitor (L-C) filter without any resistor in an interstage matching circuit. Using the impedance-controllable filter instead of the conventional L-C filter, the unwanted high signal gains of the designed E-band LNA at frequencies of 54 GHz to 57 GHz are suppressed by 8 dB to 12 dB from 24 dB to 26 dB to 12 dB to 18 dB. The small-signal gain S₂₁ at the operating frequencies of 70 GHz to 95 GHz are only decreased by 1.4 dB to 2.4 dB from 21.6 dB to 25.4 dB to 19.2 dB to 24.0 dB. The fabricated E-band LNA MMIC with the proposed filter has a measured S₂₁ of 16 dB to 21 dB, input matching (S₁₁) of -14 dB to -5 dB, and output matching (S₂₂) of -19 dB to -4 dB at E-band operating frequencies of 70 GHz to 95 GHz.

• 대한전자공학회논문지TC
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• 제37권2호
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• pp.83-90
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• 2000

본 논문에서는 이중공진 및 광대역, 고이득의 특성을 갖는 적층된 원형-디스크 마이크로스트립 1×4 배열 안테나를 차세대 이동통신인 IMT-2000시스템(상향링크: 1.885 GHz∼2.025 GHz, 하향링크: 2.11 GHz∼2.2 GHz)기지국에서 응용할 수 있도록 설계 제작 및 실험하였다. 실험결과 상향:l.885 GHz, 하향:2.178 GHz로 원하는 주파수대에서 정확히 이중 공진하고, 궤환 손실은 -30.19dB, -24.99dB로 나타났으며 VSWR은 각각 1.06, 1.43, 그리고 VSWR<2 에서의 대역폭 402 MHz, -3dB 빔 폭은 1.88 GHz에서( αE :16.8。, αH : 69。), 2.178 GHz에서(αE:15.2。, αH:51.5。)를 갖고, 이득은 사용 하고자 하는 주파수 전반에 거쳐 약 13.7 dBi∼15.21 dBi의 이득을 얻었다.

• Bulletin of the Korean Chemical Society
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• 제32권5호
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• pp.1721-1724
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• 2011

• 대한수학회지
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• 제52권5호
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• pp.991-1001
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• 2015

In this work we obtain conditions for nonspecial line bundles on general ${\kappa}$-gonal curves failing to be normally generated. Let L be a nonspecial very ample line bundle on a general ${\kappa}$-gonal curve X with ${\kappa}{\geq}4$ and $deg\mathcal{L}{\geq}{\frac{3}{2}}g+{\frac{g-2}{{\kappa}}}+1$. If L fails to be normally generated, then L is isomorphic to $\mathcal{K}_X-(ng^1_{\kappa}+B)+R$ for some $n{\geq}1$, B and R satisfying (1) $h^0(R)=h^0(B)=1$, (2) $n+3{\leq}degR{\leq}2n+2$, (3) $deg(R{\cap}F){\leq}1$ for any $F{\in}g^1_k $. Its converse also holds under some additional restrictions. As a corollary, a very ample line bundle $\mathcal{L}{\simeq}\mathcal{K}_X-g^0_d+{\xi}^0_e$ is normally generated if $g^0_d{\in}X^{(d)}$ and ${\xi}^0_e{\in}X^{(e)}$ satisfy $d{\leq}{\frac{g}{2}}-{\frac{g-2}{\kappa}}-3$, supp$(g^0_d{\cap}{\xi}^0_e)={\phi}$ and deg$(g^0_d{\cap}F){\leq}{\kappa}-2$ for any $F{\in}g^1_k$.

• 한국정보통신학회:학술대회논문집
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• 한국해양정보통신학회 2002년도 춘계종합학술대회
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• pp.559-562
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• 2002

본 논문에서는 최근 제한적으로 사용이 승인된 UWB(초광대역： Ultra-Wideband) 통신을 AWGN 하에서 다중 접속을 고려하지 않은 단일 사용사일 경우로 가정시, M진 값이 변화함에 따른 에러율과 성능 개선 기법으로 BCH를 채용시의 에러율을 비교 분석하였다. 기존에 연구되어 오던 변조로 PAM(Pulse Amplitude Modulation)과 PPM(Pulse Position Modulation)방식을 비교하였으며 에러율 $10^{-6}$을 기준으로 M=2, 4일 경우 PAM이 PPM보다 약 E$_{b}$/N$_{o}$ =3~4［dB］, M=8 이상의 경우 PPM이 약 E$_{b}$/N$_{o}$ =9［dB］, M=16일 경우 약 E$_{b}$/N$_{o}$ =15［dB］정도 성능이 우수하였다. AWGN 채널 하에서 에러 정정 부호인 BCH(15,7)를 도입하였을 경우 에러율 $10^{-6}$을 기준으로 PAM방식은 약 E$_{b}$/N$_{o}$ 가 약 1［dB］, PPM 방식은 M=2, 4일 경우 약 E$_{b}$/N$_{o}$ =1~1.5［dB］정도 개선되었다.

• 한국항행학회논문지
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• 제24권2호
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• pp.107-114
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• 2020

2.4 GHz ISM대역 전력증폭기를 설계하고 송신 시스템을 구현하였다. 고효율 증폭기는 E급이나 F급 증폭기로 구현 가능하다. 본 연구에서는 회로 구조가 간단한 E급으로 20 W 급 고효율 증폭기를 설계하여 ISM 대역 응용에 적용하도록 하였다. E급 회로 설계이론 및 회로 시뮬레이션을 통해 임피던스 정합회로를 설계하였으며 2.45 GHz에서 출력전력 44.2 dBm 및 전력부가효율 69%를 얻었다. 설계된 전력증폭기에 30 dBm의 입력전력을 인가하기 위하여 앞단에 전압제어발진기와 구동증폭기를 제작하여 입력전력 공급회로를 구현하였고, 제작한 전력증폭기는 43.2 dBm 출력 및 65%의 전력부가효율 특성을 나타내었다. 본 연구결과는 무선전력전송, 전파차단장치, 고출력 송신장치 등 다양한 무선통신시스템용 출력 전력증폭기 설계에 활용될 수 있다.

• 한국건축시공학회지
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• 제23권2호
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• pp.123-131
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• 2023

본 연구에서는 철근콘크리트의 피복두께, 산소확산속도, 철근직경의 총 세 가지 변수로 콘크리트 균열에 대한 해석을 실시하였다. 피복두께를 변수로 하였을 때 30, 40, 50mm의 피복두께에서 약 3년, 4년, 6년경과 후 균열이 발생하였고 산소확산속도를 변수로 하였을 때 2e-9, 2e-11, 2e-12(m²/s)의 산소확산도에서 약 4년, 5년, 10년경과 후 균열이 발생하였다. 철근직경의 경우 D10, D19, D25의 철근직경에서 약 4년, 3년, 2년경과 후 균열이 발생하였다.

• 한국실내디자인학회논문집
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• 제16권2호
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• pp.79-86
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• 2007

The recent works of architecture and interior design take on too various aspects to be classified as a trend or tendency. Many subjects, seeking the superiority between form and function in space which was the issue of Modernism, got to face the works which transcend the limitation of architecture due to the development of a variety of media and technology these days. In result, we could see the works which are to be Included into the category of art rather than architecture. This study starts from the thought that the common aspects of these works are based on the strangeness to pursue uniqueness, peculiarities or novelty. 'The subject of this study, $'D\acute{e}paysement'$, creates a new relation, disconnected from customs, to an architecture which became familiar through defragment, fixation and abstraction by the habitual relation and makes it reborn as an architecture which gives us a fantasy and a pleasure, by converting into the shape and image which are different from its original shape when a stimulus is given to an architecture. This study starts from the artistic aspect which has a close correlation with the architecture. The subject, $'D\acute{e}paysement'$ could be historically considered in two aspects - $D\acute{e}paysement$ of Surrealism which developed in paintings and Defamiliarization of Russian Formalism in the area of literature. This study is carried in a category of $D\acute{e}paysement$, focusing on the visual aspect of the architecture. This study is composed as follows: In chapter 2, a theoretical research is performed according to the definition and meaning of the $D\acute{e}paysement$ expression techniques, its origination and evolution, and type classification by the features of expression techniques in the era of Surrealism when $D\acute{e}paysement$ developed most vigorously in the area of art. In chapter 3, the system which formalizes the expression method of the techniques is presented, focusing on the case analysis of the artistic works according to the types of $D\acute{e}paysement$. In chapter 4, the application of the expression techniques of $D\acute{e}paysement$ is discussed by conducting cases analysis of the modern interior design.

• 대한수학회지
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• 제53권1호
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• pp.115-126
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• 2016

Let $E{\subset}{\mathbb{F}}^d_q$, the d-dimensional vector space over the finite field with q elements. Construct a graph, called the distance graph of E, by letting the vertices be the elements of E and connect a pair of vertices corresponding to vectors x, y 2 E by an edge if ${\parallel}x-y{\parallel}:=(x_1-y_1)^2+{\cdots}+(x_d-y_d)^2=1$. We shall prove that the non-overlapping chains of length k, with k in an appropriate range, are uniformly distributed in the sense that the number of these chains equals the statistically correct number, $1{\cdot}{\mid}E{\mid}^{k+1}q^{-k}$ plus a much smaller remainder.