• Title/Summary/Keyword: commutators

Search Result 55, Processing Time 0.035 seconds

PATH-CONNECTED AND NON PATH-CONNECTED ORTHOMODULAR LATTICES

  • Park, Eun-Soon;Song, Won-Hee
    • Bulletin of the Korean Mathematical Society
    • /
    • v.46 no.5
    • /
    • pp.845-856
    • /
    • 2009
  • A block of an orthomodular lattice L is a maximal Boolean subalgebra of L. A site is a subalgebra of an orthomodular lattice L of the form S = A $\cap$ B, where A and B are distinct blocks of L. An orthomodular lattice L is called with finite sites if |A $\cap$ B| < $\infty$ for all distinct blocks A, B of L. We prove that there exists a weakly path-connected orthomodular lattice with finite sites which is not path-connected and if L is an orthomodular lattice such that the height of the join-semilattice [ComL]$\vee$ generated by the commutators of L is finite, then L is pathconnected.

A LINEAR APPROACH TO LIE TRIPLE AUTOMORPHISMS OF H*-ALGEBRAS

  • Martin, A. J. Calderon;Gonzalez, C. Martin
    • Journal of the Korean Mathematical Society
    • /
    • v.48 no.1
    • /
    • pp.117-132
    • /
    • 2011
  • By developing a linear algebra program involving many different structures associated to a three-graded H*-algebra, it is shown that if L is a Lie triple automorphism of an infinite-dimensional topologically simple associative H*-algebra A, then L is either an automorphism, an anti-automorphism, the negative of an automorphism or the negative of an anti-automorphism. If A is finite-dimensional, then there exists an automorphism, an anti-automorphism, the negative of an automorphism or the negative of an anti-automorphism F : A $\rightarrow$ A such that $\delta$:= F - L is a linear map from A onto its center sending commutators to zero. We also describe L in the case of having A zero annihilator.

CROSS COMMUTATORS ON BACKWARD SHIFT INVARIANT SUBSPACES OVER THE BIDISK II

  • Izuchi, Kei Ji;Izuchi, Kou Hei
    • Journal of the Korean Mathematical Society
    • /
    • v.49 no.1
    • /
    • pp.139-151
    • /
    • 2012
  • In the previous paper, we gave a characterization of backward shift invariant subspaces of the Hardy space over the bidisk on which [${S_z}^n$, $S_w^*$] = 0 for a positive integer n ${\geq}$ 2. In this case, it holds that ${S_z}^n=cI$ for some $c{\in}\mathbb{C}$. In this paper, it is proved that if [$S_{\varphi}$, $S_w^*$] = 0 and ${\varphi}{\in}H^{\infty}({\Gamma}_z)$, then $S_{\varphi}=cI$ for some $c{\in}\mathbb{C}$.

A Simulation Model of Brushless DC Motor with Rectangular Current Excitation (구형파 전류여자 브러시리스 직류전동기의 시뮬레이션 모델)

  • Kim Jong-Sun;O Won-Hyun;Shin Eun-Chul;Yoo Ji-Yoon;Lee Kwang-Woon
    • Proceedings of the KIPE Conference
    • /
    • 2002.07a
    • /
    • pp.443-446
    • /
    • 2002
  • Brushless DC motor(BLDCM) are suitable to operate in a wide speed range, easy to control and since there are no mechanical brushes and commutators, require low maintenance costs and are free from restrictions of application environment. And since the ratio of instantaneous torque and rated torque is high, BLDCM are appropriate for variable speed operation. This paper proposes the optimal model by using Matlab/simulink based on modelling and characteristic analysis of trapezoidal back EMF type BLDCM and verifies the validity of the proposed model by applying control systems.

  • PDF

On Semiprime Rings with Generalized Derivations

  • Khan, Mohd Rais;Hasnain, Mohammad Mueenul
    • Kyungpook Mathematical Journal
    • /
    • v.53 no.4
    • /
    • pp.565-571
    • /
    • 2013
  • In this paper, we investigate the commutativity of a semiprime ring R admitting a generalized derivation F with associated derivation D satisfying any one of the properties: (i) $F(x){\circ}D(y)=[x,y]$, (ii) $D(x){\circ}F(y)=F[x,y]$, (iii) $D(x){\circ}F(y)=xy$, (iv) $F(x{\circ}y)=[F(x) y]+[D(y),x]$, and (v) $F[x,y]=F(x){\circ}y-D(y){\circ}x$ for all x, y in some appropriate subsets of R.

Low-Power Radix-4 butterfly structure for OFDM FFT (OFDM FFT용 저전력 Radix-4 나비연산기 구조)

  • Kim, Do-Han;Kim, Bee-Chul;Hur, Eun-Sung;Lee, Won-Sang;Jang, Young-Beom
    • Proceedings of the IEEK Conference
    • /
    • 2006.06a
    • /
    • pp.13-14
    • /
    • 2006
  • In this paper, an efficient butterfly structure for Radix-4 FFT algorithm using DA(Distributed Arithmetic) is proposed. It is shown that DA can be efficiently used in twiddle factor calculation of the Radix-4 FFT algorithm. The Verilog-HDL coding results for the proposed DA butterfly structure show 61.02% cell area reduction comparison with those of the conventional multiplier butterfly structure. Furthermore, the 64-point Radix-4 pipeline structure using the proposed butterfly and delay commutators is compared with other conventional structures. Implementation coding results show 46.1% cell area reduction.

  • PDF

ON-OFF' Current Control Method with Frequency Limiter and Operating Characteristics of Brushless DC Motors Using Resolver (리졸버를 사용한 브러쉬 없는 직류전동기의 운전특성과 주파수 제한기를 가진 'ON-OFF'전류제어 방식)

  • 홍성수;권봉환;윤명중
    • The Transactions of the Korean Institute of Electrical Engineers
    • /
    • v.35 no.9
    • /
    • pp.396-402
    • /
    • 1986
  • Although the structure of the brushless DC motor is similar to the one of the permanent magnet synchronous motor, its operating characteristics are the same as those of the permanent magnet DC motor. This is the reason that the commutators and brushes in the permanent magnet DC motor can be replaced by the power semiconductor devices and rotor position sensors for the brushless DC motor. In this paper, a current control method is presented to make a sinusoidal current waveform for constant torque generation and the operating characteristics of the brushless DC motor using the resolver as the rotor position sensor is also presented and experimented.

  • PDF

The Measurement System Development for Motor Temperature of TTX (틸팅차량 전동기 온도측정 시스템 개발)

  • Lee, Su-Gil;Han, Young-Jae;Han, Seong-Ho;Lee, Jun-Seok
    • Proceedings of the KIEE Conference
    • /
    • 2007.11a
    • /
    • pp.202-203
    • /
    • 2007
  • Induction Motor is important at tilting train. Tiling train induction motor should be operated to commercial servicespeed 180km/h at Korea Conventional Line upgrade railroad. As the induction motors are without commutators, maintenance is easy and it is far lighter than the conventional motors with the same capacity. The induction motor, however, posed problems in use as its motor torque is not large enough compared with DC motors. With the recent advances in power semiconductors, it is possible to apply the induction motors to trains by applying VVVF inverter control method to the traction motor. In this study, we realize the stable measurement AC motor temperature characteristic of TTX train.

  • PDF

WEIGHTED NORM ESTIMATES FOR THE DYADIC PARAPRODUCT WITH VMO FUNCTION

  • Chung, Daewon
    • Bulletin of the Korean Mathematical Society
    • /
    • v.58 no.1
    • /
    • pp.205-215
    • /
    • 2021
  • In [1], Beznosova proved that the bound on the norm of the dyadic paraproduct with b ∈ BMO in the weighted Lebesgue space L2(w) depends linearly on the Ad2 characteristic of the weight w and extrapolated the result to the Lp(w) case. In this paper, we provide the weighted norm estimates of the dyadic paraproduct πb with b ∈ VMO and reduce the dependence of the Ad2 characteristic to 1/2 by using the property that for b ∈ VMO its mean oscillations are vanishing in certain cases. Using this result we also reduce the quadratic bound for the commutators of the Calderón-Zygmund operator [b, T] to 3/2.

Development of a remote monitoring system for gas detection at the subway station (지하철 역내 가스 검출 원격 모니터링 시스템 구현)

  • Park, Yong-Man;Kim, Hei-Sik;Kim, Gyu-Sik;Lee, Moon-Gyu
    • Proceedings of the KIEE Conference
    • /
    • 2007.04a
    • /
    • pp.439-441
    • /
    • 2007
  • The seoul metropolitan subway has installed 8 lines and about 500 stations to transport 5 million passengers everyday. The underground air pollution level in the subway stations is very severe status, which is very harmful to the commutators and its personals. Although subway roles as such a massive and huge transportation system, the subway doesn't adapt yet any real-time air monitoring system. They have only some hand-held type detector equipments for monitoring air pollution. Therefore subway passengers are exposed to the harmful air pollution environment. The most harmful environmental parameters among the air pollution are known as the dust and sound noise dB level in the subway station. Because the dust is consisted of very small particles, we can't see them easily in dark condition on the platform, but it is very harmful. The monitoring system for air pollution is developed using embedded system attached with 6 different environmental sensors. This system monitors air pollution of dust sound noise, gas, temperature, humidity, inflammable gas, toxic gas in the subway ?station. The sensor unit of the ARM-CPU board and sensor transmits real time environmental data to the main server using Zigbee wireless communication module and TCP/IP network. The main control server receives and displays the real-time environmental data, and it send alarms to the personals when high level value.

  • PDF