• 제목/요약/키워드: balanced pair

검색결과 27건 처리시간 0.028초

ADMISSIBLE BALANCED PAIRS OVER FORMAL TRIANGULAR MATRIX RINGS

  • Mao, Lixin
    • 대한수학회보
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    • 제58권6호
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    • pp.1387-1400
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    • 2021
  • Suppose that $T=\(\array{A&0\\U&B}\)$ is a formal triangular matrix ring, where A and B are rings and U is a (B, A)-bimodule. Let ℭ1 and ℭ2 be two classes of left A-modules, 𝔇1 and 𝔇2 be two classes of left B-modules. We prove that (ℭ1, ℭ2) and (𝔇1, 𝔇2) are admissible balanced pairs if and only if (p(ℭ1, 𝔇1), h(ℭ2, 𝔇2) is an admissible balanced pair in T-Mod. Furthermore, we describe when ($P^{C_1}_{D_1}$, $I^{C_2}_{D_2}$) is an admissible balanced pair in T-Mod. As a consequence, we characterize when T is a left virtually Gorenstein ring.

(𝓕, 𝓐)-GORENSTEIN FLAT HOMOLOGICAL DIMENSIONS

  • Becerril, Victor
    • 대한수학회지
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    • 제59권6호
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    • pp.1203-1227
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    • 2022
  • In this paper we develop the homological properties of the Gorenstein (𝓛, 𝓐)-flat R-modules 𝓖𝓕(𝓕(R),𝓐) proposed by Gillespie, where the class 𝓐 ⊆ Mod(Rop) sometimes corresponds to a duality pair (𝓛, 𝓐). We study the weak global and finitistic dimensions that come with the class 𝓖𝓕(𝓕(R),𝓐) and show that over a (𝓛, 𝓐)-Gorenstein ring, the functor - ⊗R - is left balanced over Mod(Rop) × Mod(R) by the classes 𝓖𝓕(𝓕(Rop),𝓐) × 𝓖𝓕(𝓕(R),𝓐). When the duality pair is (𝓕(R), 𝓕𝓟Inj(Rop)) we recover the G. Yang's result over a Ding-Chen ring, and we see that is new for (Lev(R), AC(Rop)) among others.

THE RESOLUTION DIMENSIONS WITH RESPECT TO BALANCED PAIRS IN THE RECOLLEMENT OF ABELIAN CATEGORIES

  • Fu, Xuerong;Hu, Yonggang;Yao, Hailou
    • 대한수학회지
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    • 제56권4호
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    • pp.1031-1048
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    • 2019
  • In this paper we study recollements of abelian categories and balanced pairs. The main results are: recollements induce new balanced pairs from the middle category; the resolution dimensions are bounded under certain conditions. As an application, the resolution dimensions with respect to cotilting objects of abelian categories involved in recollements are recovered.

Design of A Compact Single-Balanced Mixer for UWB Applications

  • Mohyuddin, Wahab;Kim, In Bok;Choi, Hyun Chul;Kim, Kang Wook
    • Journal of electromagnetic engineering and science
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    • 제17권2호
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    • pp.65-70
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    • 2017
  • The design and implementation aspects of a new single-balanced mixer for ultra-wideband (UWB) applications are presented in this study. The proposed mixer utilizes a miniaturized UWB ring coupler as a balun, consisting of a pair of in-phase and inverted-phase transitional structures. The well-balanced UWB performance of the ring coupler, aside from the optimized diode matching, results in improved conversion loss and inter-port isolations for a wide bandwidth. The size of the implemented single-balanced diode mixer is reduced to about 60% of the area of the conventional single-balanced ring diode mixer. The measured results of the proposed mixer exhibit an average conversion loss of 7.5 dB (minimum 6.7 dB) and a port-to-port isolation of greater than 18 dB over a UWB frequency range of 3.1-10.6 GHz. The measured results agree well with the simulated results.

자기유도 결합 LC 공진기를 이용한 초소형 평형신호 여파기 (Micro Balanced Filter in Magnetically Coupled LC Resonators)

  • 박종철;박재영
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2008년도 제39회 하계학술대회
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    • pp.1406-1407
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    • 2008
  • In this paper, a micro balanced filter in magnetically coupled LC resonators is proposed, designed, simulated by using FR-4 PCB substrate for low cost, small volume IEEE 802. 11a wireless LAN application. Two pair of coupled LC resonators using magnetic coupling of embedded inductors are applied to obtain bandpass transmission response and improve their phase and magnitude imbalance characteristics. In addition, high dielectric composite film is applied to fabricate the high Q MIM capacitors with small size and high capacitance density. It has an insertion loss of 1.4 dB, a return loss of 10 dB, a phase imbalance of 0.25 degree, and magnitude imbalance of 0.17 dB at frequency bandwidth of 200 MHz ranged from 5.15 GHz to 5.35 GHz, respectively. The proposed balanced filter has a small volume of $1.1mm{\times}1.3mm{\times}0.6mm$ (height).

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New Design of Choice Sets for Choice-based Conjoint Analysis

  • Kim, Bu-Yong
    • 응용통계연구
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    • 제25권5호
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    • pp.847-857
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    • 2012
  • This article is concerned with choice-based conjoint analysis versus rating-based and ranking-based conjoint analysis. Choice-based conjoint analysis has a definite advantage in that the respondent's task of choosing the most preferred profile from several competing profiles adequately mimics consumer marketplace behavior. It is crucial to design the choice sets appropriate for the choice-based conjoint. Thus, this article suggests a new method to design the choice sets that are well-balanced. It augments the balanced incomplete block design and then obtains the dual design of the result to accommodate various numbers of profiles. In consequence, the choice sets designed by the new method have the desirable characteristics that each profile is presented to the same number of respondents, and pairs of any two distinct profiles occur together in the same number of choice sets. The balancing of the design increases the efficiency of the conjoint analysis. In addition, the pair-comparison scheme can improve the quality of data through the identification of contradictory responses.

연선의 혼합 모드 산란 계수 측정 시스템 (Mixed-mode S-parameter Measurement System of Twisted Pairs)

  • 안정식
    • 한국정보통신학회논문지
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    • 제22권6호
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    • pp.888-894
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    • 2018
  • 본 논문에서는 연선의 성능 측정을 위한 혼합 모드 산란계수 측정시스템을 제안하였다. 연선은 균형 형태의 소자로써 일반적으로 동축 형태로 구현된 네트워크 분석기를 이용하여 특성 측정이 불가능하다. 이때, 발룬을 이용하여 균형 신호와 불균형 신호 간 변환을 통해 측정이 가능하지만 측정 주파수 대역폭이 제한되는 문제가 있다. 제안하는 시스템은 발룬을 사용하지 않고 4포트 벡터 네트워크 분석기와 설계한 고정구를 이용하여 혼합모드 산란계수를 측정하여 연선의 성능을 측정한다. 제안하는 시스템을 이용하여 상용 이더넷 케이블의 성능을 측정해보고 발룬의 이용한 결과와 비교해 보았다. 이를 통해 제안하는 시스템을 이용해 연선의 성능 측정이 가능함을 확인하였다.

Crosstalk를 방지한 100 MHz 고속 데이터 전송 Modular Jack의 설계 및 제작에 관한 연구 (A Study on a Reduced Crosstalk for the Design of 100 MHz High Speed Data Transmission Modular Jack)

  • 이중근;안현수
    • 한국전자파학회논문지
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    • 제10권1호
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    • pp.1-10
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    • 1999
  • 본 논문에서는 100 Mb/s Unshielded Twisted Pairs (UTP) 케이블 Modular Jack의 평형 통신 시스템(Balanced Communication System)에서 시스템의 성능에 영향을 주지 않으변서, UTP 케이블의 꼬임이 풀림 으로 인해 서로 근접하게 배치된 평형통신 선로(Balanced Communication Lines)간에 존재하는 불균일한 결 합으로 인한 차등 누화 선호(Differen tial- Mode Crosstalk Signal)를 효과적으로 제거하거나 억제시킬 수 있는 접근 방법에 대하여 논하고 있으며, 실제 UTP 케이블의 Modular Jack에 이를 적용시켜 이에 대한 큰단누화 (Near-End Crosstalk (Next)를 측정함으로써 그 타당성을 입증하였다.

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탐색기의 주사루프 모델링과 LQG/LTR보상기 설계 (Modelling and LQG/LTR Compensator Design of the Seeker Scan-Loop)

  • 황홍연;이호평
    • 대한기계학회논문집
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    • 제17권11호
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    • pp.2730-2741
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    • 1993
  • A mathematical model of the seeker scan-loop which is composed of a spin-stabilized gyroscope and its driving signal processors is derived. The derived model has a transmission zero pair on the imaginary axis near to the required bandwidth. The LQG/LTR design methodology is evolved for the derived scan-loop model. To implement the designed LQG/LTR compensator to the actual plant, the compensator order is reduced using the internally balanced realization method. The performances of the LQG/LTR compensator are tested and compared with those of the P-control. Especially, stability-robustnessexperiments for model uncertainties represented in the form of time-delays are performed. It is demonstrated that the LQG/STR compensator is actually very robust to model uncertainties.

태극 패턴 DNA 행렬 코드의 평형과 불평형 해석 (A Balanced and Unbalanced Analysis of the DNA Matrix Code of The Taegeuk Pattern)

  • 김정수;이문호
    • 공학교육연구
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    • 제21권1호
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    • pp.77-89
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    • 2018
  • The chromosomes of all the world are the same in all 24 pairs, but the key, skin color and appearance are different. Also, it is the resistance of adult disease, diabetes, cancer. In 1953, Watson, Crick of Cambridge University experimentally discovered a DNA double helix structure, and in 1962, They laureates the Nobel Prize. In 1964, Temin, University of Wisconsin, USA, experimentally identified the ability to copy gene information from RNA to DNA and received the Nobel Prize in 1975. In this paper, we analyzed 24 pairs of DNA chromosomes using mathematical matrices based on the combination order sequence of four groups, and designed the Taegeuk pattern genetic code for the first time in the world. In the case of normal persons, the middle Yin-Yang taegeuk is designed as a block circulant Jacket matrix in DNA, and the left-right and upper-lower pairs of east-west and north-south rulings are designed as pair complementary matrices. If (C U: A G) chromosomes are unbalanced, that is, people with disease or inheritance become squashed squirming patterns. In 2017, Professor Michel Young was awarded a Nobel by presenting a biological clock and experimentally explained the bio-imbalance through a yellow fruit fly experiment.This study proved mathematical matrices for balanced and unbalanced RNA.