• 대한수학회보
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• 제43권4호
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• pp.805-812
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• 2006

In this paper we find a suitable bound for the number of commutators which is required to express every element of the derived group of a solvable group satisfying the maximal condition for normal subgroups. The precise formulas for expressing every element of the derived group to the minimal number of commutators are given.

• 대한수학회보
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• 제59권2호
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• pp.351-360
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• 2022

We prove that a punctured-torus group of hyperbolic 4-space which keeps an embedded hyperbolic 2-plane invariant has a strictly parabolic commutator. More generally, this rigidity persists for a punctured-surface group.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2003년도 추계학술대회 논문집 전기기기 및 에너지변환시스템부문
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• pp.104-106
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• 2003

In recent years for propulsion of cooling fan in cars are more used electrical motors than the engine direct coupled type. But the electrical motor which is now used has the brush and the commutator. Because of the brush and the commutator the electrical motor has short life time, low efficiency and mechanical- electrical noise. Therefore it is tried to develope brushless dc motor. The motor is located in the hot air from the radiator. The motor temperature increases high and the increasing of the motor temperature rolls big in its character. The cooling fan motor has relative small in size and input voltage is low. For 300 w output power must be the current of the motor high which causes high copper loss. In this paper will be tested and analysed characteristics of a dc motor which is now used for cooling fan and a BLDC motor will be designed with same character of the brushed motor and with considering of improvement of the efficiency. After design the motor should be analysed and tested.

• 한국항행학회논문지
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• 제21권6호
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• pp.659-665
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• 2017

본 논문에서는 MIMO(multiple input multiple output) 시스템을 위한 저복잡도 FFT(fast Fourier transform) 프로세서의 설계 및 구현 결과를 제시하였다. 무선랜을 이용한 다양한 멀티미디어 서비스 등을 이용하기 위해 높은 채널 용량과 Gbps급 전송이 가능한 시스템에 대한 요구와 함께 IEEE 802.11ac 규격이 채택되었다. MIMO-OFDM (orthogonal frequency duplex multiplexing) 기술을 사용하는 IEEE 802.11ac 규격의 무선랜 시스템은 최대 8개의 안테나 구성 및 20-160 MHz 대역폭을 지원해야한다. 따라서, 제안된 FFT 프로세서는 8채널 64, 128, 256, 512 point 가변길이를 지원한다. 또한, 비단순 승산기의 수를 감소시키기 위해서 MRMDC(mixed-radix multipath delay commutator) 구조를 적용하였고, 이로 인해 제안된 FFT 프로세서는 기존 FFT 프로세서에 비해 현저히 낮은 복잡도로 구현 가능하다. 구현 결과, 제안된 FFT processor는 기존 방식인 radix-2 SDF 구조 대비 gate count가 50 % 감소 가능하였고, 8 채널 MR-2/2/2/4/2/4/2 MDC 구조와 8채널 MR-2/2/2/8/8 MDC 구조 대비 logic gate 수를 각각 18 %와 17 % 감소 가능함이 확인되었다.

• Kyungpook Mathematical Journal
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• 제43권4호
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• pp.499-502
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• 2003

The aim of the present paper is to establish for commutativity of rings with unity 1 satisfying one of the properties $(xy)^{k+1}=x^ky^{k+1}x$ and $(xy)^{k+1}=yx^{k+1}y^k$, for all x, y in R, and the mapping $x{\rightarrow}x^k$ is an anti-homomorphism where $k{\geq}1$ is a fixed positive integer.

• Journal of applied mathematics & informatics
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• 제27권1_2호
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• pp.375-384
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• 2009

Characterizations of simulative WFI-algebras are provided. The notion of commutators, doubly simulative parts, doubly simulative WFI-algebras, and WFI-morphisms are introduced. Using the notion of commutators, the conditions for a WFI-algebra to be simulative are given. Characterizations of doubly simulative WFI-algebras are discussed. Using the notion of doubly simulative WFI-algebras, a commutative pomonoid is established.

• 대한수학회보
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• 제36권1호
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• pp.139-146
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• 1999

It is known that a right nilpotent congruence $\beta$ on a finite algebra A is also left nilpotent [3]. The question on whether the left nilpotency class of $\beta$ in less than or equal to the right nilpotency class of $\beta$is still open. In this paper we find an upper limit for the left nilpotency class of $\beta$. In addition, under the assumption that 1 $\in$ typ{A}, we show that $(\beta]^k=[\beta)^k$ for all k$\geq$1. Thus the left and right nilpotency classes of $\beta$ are the same in this case.

• 대한수학회보
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• 제50권6호
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• pp.1923-1936
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• 2013

We prove that the intrinsic square functions including Lusin area integral and Littlewood-Paley $g^*_{\lambda}$-function as defined by Wilson, are bounded in a class of function spaces include weighted Morrey spaces. The corresponding commutators generated by BMO functions are also considered.

• 대한수학회보
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• 제50권6호
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• pp.1973-1979
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• 2013

The main purpose of this paper is to give the Wintner theorem in unital complete random normed algebras which is a random generalization of the classical Wintner theorem in Banach algebras. As an application of the Wintner theorem in unital complete random normed algebras, we also obtain that the identity operator on a complete random normed module is not a commutator.

• 대한수학회지
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• 제46권3호
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• pp.577-588
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• 2009

In this paper, the author studies the k-th commutators of oscillatory singular integral operators with a BMO function and phases more general than polynomials. For 1 < p < $\infty$, the $L^p$-boundedness of such operators are obtained provided their kernels belong to the spaces $L(log+L)^{k+1}(S^{n-1})$. The results of the corresponding maximal operators are also established.