• Title/Summary/Keyword: Dual Ring

Search Result 154, Processing Time 0.022 seconds

COLOCALIZATION OF LOCAL HOMOLOGY MODULES

  • Rezaei, Shahram
    • Bulletin of the Korean Mathematical Society
    • /
    • v.57 no.1
    • /
    • pp.167-177
    • /
    • 2020
  • Let I be an ideal of Noetherian local ring (R, m) and M an artinian R-module. In this paper, we study colocalization of local homology modules. In fact we give Colocal-global Principle for the artinianness and minimaxness of local homology modules, which is a dual case of Local-global Principle for the finiteness of local cohomology modules. We define the representation dimension rI (M) of M and the artinianness dimension aI (M) of M relative to I by rI (M) = inf{i ∈ ℕ0 : HIi (M) is not representable}, and aI (M) = inf{i ∈ ℕ0 : HIi (M) is not artinian} and we will prove that i) aI (M) = rI (M) = inf{rIR𝖕 (𝖕M) : 𝖕 ∈ Spec(R)} ≥ inf{aIR𝖕 (𝖕M) : 𝖕 ∈ Spec(R)}, ii) inf{i ∈ ℕ0 : HIi (M) is not minimax} = inf{rIR𝖕 (𝖕M) : 𝖕 ∈ Spec(R) ∖ {𝔪}}. Also, we define the upper representation dimension RI (M) of M relative to I by RI (M) = sup{i ∈ ℕ0 : HIi (M) is not representable}, and we will show that i) sup{i ∈ ℕ0 : HIi (M) ≠ 0} = sup{i ∈ ℕ0 : HIi (M) is not artinian} = sup{RIR𝖕 (𝖕M) : 𝖕 ∈ Spec(R)}, ii) sup{i ∈ ℕ0 : HIi (M) is not finitely generated} = sup{i ∈ ℕ0 : HIi (M) is not minimax} = sup{RIR𝖕 (𝖕M) : 𝖕 ∈ Spec(R) ∖ {𝔪}}.

Development of Determining Technique of Optimum Signal Time of Intersections On Median Exclusive Bus Lane using Bus-only Signal (중앙버스전용차로 버스전용신호 도입시 신호 최적화에 관한 연구)

  • Kim, Bo-Gyeom;Kim, Seung-Il;Kim, Yeong-Chan;Kim, Jin-Tae
    • Journal of Korean Society of Transportation
    • /
    • v.24 no.5 s.91
    • /
    • pp.123-133
    • /
    • 2006
  • Seoul and many large cities in Korea have implemented Median Exclusive Bus Lane(MEB). But exclusive bus lane in the middle of the road caused new contradictions between left turn movement and through bus movement and several signal operation techniques like 'left turn Protected' and 'overlap phase' couldn't be applied in intersections on MEB. We suggest 'Bus-only Signal for median lane technique as solution of these problems This study presents optimum signal time design process and detailed algorithms for intersections where bus-only signals are installed. As a test field. we took Yang-Je intersection where Median Exclusive Bus Lane go through. and have large gap in volume of left turn in main direction. And we verified that revised optimum signal time including overlap phase can reduce average delay time of vehicle through before and after simulation.

Lifejcket-Integrated Antenna for Search and Rescue System (탐색 및 구조 시스템용 구명조끼 내장형 안테나)

  • Lim, Ji-Hun;Yang, Gyu-Sik;Jung, Sung-Hun;Park, Dong-Kook
    • Journal of Navigation and Port Research
    • /
    • v.38 no.4
    • /
    • pp.367-371
    • /
    • 2014
  • When the crew or passengers fall into the water due to marine accident of vessel, it is very important to rescue them quickly. In the case of marine accidents, most people in distress have been wearing a lifejacket, so if the GPS and Cospas-Sarsat communication module will be integrated within the lifejacket, it is easy to rescue them. In this paper, development of the dual band lifejacket-integrated antenna for GPS and Cospas-Sarsat communication is discussed. The antenna with the FR-4 substrate of 0.2mm thickness for flexibility was designed that it can be fitted close to the shoulder of the life jacket and operate at 1.575GHz and 406MHz. The GPS communication antenna was implemented with a ring-slot antenna having a circular polarized characteristic and a meander type linear polarized antenna is used as Cospas-Sarsat communication. The two antennas are fed by a single microstrip line and an open stub is used to minimize the mutual interference between the two antennas. The performance of the fabricated antenna attached to the life vest is confirmed by the measurement of the return loss at GPS and Cospas-Sarsat frequency bands.

The Design of Broadband Ultrasonic Transducers for Fish Species Identification - Dual Resonance Design of a Ultrasonic Transducer Using a Single Acoustic Matching Layer - (어종식별을 위한 광대역 초음파 변환기의 설계 II - 단일음향정합층을 이용한 이중공진형 변환기의 설계 -)

  • 이대재
    • Journal of the Korean Society of Fisheries and Ocean Technology
    • /
    • v.34 no.1
    • /
    • pp.74-84
    • /
    • 1998
  • A doubly resonant ultrasonic transducer has been designed as an attempt to increase the bandwidth of underwater transducers. The dual resonance conditions were accomplished by attaching a single acoustic matching layer on the front face of a Tonpilz transducer consisted of an aluminum head, a piezoelectric ring, a brass tail and a prestress bolt. A modified Mason's model was used for the performance analysis and the design of transducers, and the constructed transducers were tested experimentally and numerically by changing the impedances and thicknesses of the head, tail and matching layers in the water tank. Two distinct resonance peaks in the transmitting voltage response(TVR) of a developed transducer were observed at 34.3 and 40.4 kHz, respectively, with the difference frequency of 6.1kHz and the center frequency of 37.2kHz. The values of TVR at these frequencies were 136.5 dB re $1\;\muPa/V$ at 34.3 kHz and 136.8 dB re $1\;\muPa/V$ at 40.4 kHz, respectively. Reasonable agreement between the experimental results and the numerical results was achieved. From this result, it is expected that the generation of the distinct resonances at any two desired frequencies can be achieved through the proper choice of the matching layer to provide the impedance transformation between the transducer and the medium.

  • PDF