• 대한산업공학회지
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• 제34권2호
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• pp.216-222
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• 2008

The determination of spectrum charges for the operators is a main issue to efficiently manage the limited radio spectrum resources. In this paper, we propose a model to compute the optimal charges for radio spectrum usage. The objective is to determine that will maximize the spectrum charges, and decision variables of ratios for actual or estimated revenues are considered. The spectrum charges are maximized under satisfying the least profit for operators based on Log-Linear demand function. The parameters of actual sales and minimum profit of operators are analyzed to make an efficient management for radio spectrum. The results show that the spectrum charges increase as the actual sales increase, but it decrease as the required minimum profit of operator increases. It is also observed that the government should increase the ratio for estimated sales if anticipating the poor market in the future, otherwise they should increase the ratio for actual sales to maximize the spectrum charges.

• 한국지진공학회논문집
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• 제11권2호
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• pp.1-9
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• 2007

유전자 알고리즘을 이용하여 구조물의 지진응답해석에 사용할 인공 가속도시간이력을 작성하는 방법을 제시한다. 유전자 알고리즘을 적용하기 위해서 유전원질에 해당되는 결정변수로서 응답스펙트럼 값을 계산할 진동수를 결정하고, 산술평균 교차연산자와 산술비 돌연변이연산자를 제안한다. 이들 연산자와 전형적인 단순 교차연산자를 사용하여 설계응답스펙트럼에 부합하는 인공 지진파 작성에 사용한다. 또한 작성된 인공 가속도시간이력은 실제 계측되는 지진파의 몇 가지의 외형적 특성을 가져야 하므로 이를 고려한 인공 가속도시간이력이 작성되도록 한다. 이 외형적 특성으로는 가속도시간이력의 포락형태, 지진파의 2수평성분간의 상관관계, 지반의 최대가속도 - 최대속도 - 최대변위 관계 등이다.

• 호남수학학술지
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• 제8권1호
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• pp.1-19
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• 1986

We show that a (possibly unbounded) linear operator, T, is scalar on the real line (spectral operator of scalar type, with real spectrum) if and only if (iT) generates a uniformly bounded semigroup and $(1-iT)(1+iT)^{-1}$ is scalar on the unit circle. T is scalar on [0, $\infty$) if and only if T generates a uniformly bounded semigroup and $(1+T)^{-1}$ is scalar on [0,1). By analogy with these results, we define $C^0$-scalar, on the real line, or [0. $\infty$), for an unbounded operator. We show that a generator of a positive-definite group is $C^0$-scalar on the real line. and a generator of a completely monotone semigroup is $C^0$-scalar on [0, $\infty$). We give sufficient conditions for a closed operator, T, to generate a positive-definite group: the sequence < $\phi(T^{n}x)$ > $_{n=0}^{\infty}$ must equal the moments of a positive measure on the real line, for sufficiently many positive $\phi$ in $X^{*}$, x in X. If the measures are supported on [0, $\infty$), then T generates a completely monotone semigroup. On a reflexive Banach lattice, these conditions are also necessary, and are equivalent to T being scalar, with positive projection-valued measure. T generates a completely monotone semigroup if and only if T is positive and m-dispersive and generates a bounded holomorphic semigroup.

• 충청수학회지
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• 제24권1호
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• pp.19-34
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• 2011

A bounded linear operator T on a complex Banach space X is said to have property (I) provided that T has Bishop's property (${\beta}$) and there exists an integer p > 0 such that for a closed subset F of ${\mathbb{C}}$ ${X_T}(F)={E_T}(F)=\bigcap_{{\lambda}{\in}{\mathbb{C}}{\backslash}F}(T-{\lambda})^PX$ for all closed sets $F{\subseteq}{\mathbb{C}}$, where $X_T$(F) denote the analytic spectral subspace and $E_T$(F) denote the algebraic spectral subspace of T. Easy examples are provided by normal operators and hyponormal operators in Hilbert spaces, and more generally, generalized scalar operators and subscalar operators in Banach spaces. In this paper, we prove that if T has property (I), then the quasi-nilpotent part $H_0$(T) of T is given by $$KerT^P=\{x{\in}X:r_T(x)=0\}={\bigcap_{{\lambda}{\neq}0}(T-{\lambda})^PX$$ for all sufficiently large integers p, where ${r_T(x)}=lim\;sup_{n{\rightarrow}{\infty}}{\parallel}T^nx{\parallel}^{\frac{1}{n}}$. We also prove that if T has property (I) and the spectrum ${\sigma}$(T) is finite, then T is algebraic. Finally, we prove that if $T{\in}L$(X) has property (I) and has decomposition property (${\delta}$) then T has a non-trivial invariant closed linear subspace.

• 한국자기공명학회논문지
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• 제17권2호
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• pp.92-97
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• 2013

We study the electron spin resonance line-width (ESRLW) of $Fe^{3+}$ in crystalline $LiNbO_3$ ; the ESRLW is obtained using the projection operator method (POM) developed by Argyres and Sigel. The ESRLW is calculated to be axially symmetric about the c-axis and is analyzed by the spin Hamiltonian with an isotopic g factor at a frequency of 9.5 GHz. The ESRLW increases exponentially as the temperature increases, and the ESRLW is almost constant in the high-temperature region (T>8000 K). This kind of temperature dependence of the ESRLW indicates a motional narrowing of the spectrum when $Fe^{3+}$ ions substitute the $Nb^{5+}$ ions in an off-center position. It is clear from this feature that there are two different regions in the graph of the temperature dependence of the ESRLW.

• 호남수학학술지
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• 제45권3호
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• pp.457-470
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• 2023

In this study, we set a boundary value problem (BVP) consisting of a discrete Sturm-Liouville equation with transmission condition and boundary conditions depending on generalized eigenvalue parameter. Discussing the Jost and scattering solutions of this BVP, we present scattering function and find some properties of this function. Furthermore, we obtain resolvent operator, continuous and discrete spectrum of this problem and we give an valuable asymptotic equation to get the properties of eigenvalues. Finally, we give an example to compare our results with other studies.

• Journal of applied mathematics & informatics
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• 제30권1_2호
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• pp.183-200
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• 2012

A two-strain epidemic model with an age structure mutation and varying population is studied. By means of the spectrum theory of bounded linear operator in functional analysis, the reproductive numbers according to the strains, which associates with the growth rate ${\lambda}^*$ of total population size are obtained. The asymptotic stability of the steady states are obtained under some sufficient conditions.

• 대한수학회논문집
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• 제22권3호
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• pp.383-389
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• 2007

In this paper we examine the hyperinvariant subspace problem for quasi-n-hyponormal operators. The main result on this problem is as follows. If T = N + K is such that N is a quasi-n-hyponormal operator whose spectrum contains an exposed arc and K belongs to the Schatten p-ideal then T has a non-trivial hyperinvariant subspace.

• 전기학회논문지
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• 제59권10호
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• pp.1882-1888
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• 2010

It is widely known that ESA(Electric Signature Analysis) method is very useful one for fault diagnosis of an induction motor. Online fault diagnosis system of induction motors using LabVIEW is proposed to detect the fault of broken rotor bars and shorted turns in stator. This system is not model-based system of induction motor but LabVIEW-based fault diagnosis system using FFT spectrum of stator current in faulty motor without estimating of motor parameters. FFT of stator current in faulty induction motor is measured and compared with various reference fault data in data base to diagnose the fault. This paper is focused on to predict and diagnose of the health state of induction motors in steady state. Also, it can be given to motor operator and maintenance team in order to enhance an availability and maintainability of induction motors. Experimental results are demonstrated that the proposed system is very useful to diagnose the fault and to implement the predictive maintenance of induction motors.

• Journal of Radiation Protection and Research
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• 제13권2호
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• pp.29-40
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• 1988

환경방사선 측정에 이용되는 휴대형 고순도 게르마늄검출기에 대한 스펙트럼-조사선량율 변환연산자를 원판형선원의 공간분포함수와 검출기의 평면에 대한 측정효율식을 적용하여 이론적으로 유도했다. 이와 같이 구한 변환연산자와 휴대형 고순도 게르마늄검출기를 이용해 한국에너지연구소내에서 방사선 조사선량율을 측정했다. 측정한 조사선량율을 이미 알려진 3'${\phi}\;{\times}$3'NaI(Tl) 섬광검출기에 대한 변환연산자를 적용해 NaI(Tl)검출기로 측정한 조사선량율과 가압형 이온전리함으로 측정한 값과 비교했다. 고순도 게르마늄 검출기로 얻은 결과는 NaI(Tl) 검출기와 가압형 이온전리함으로 얻은 값보다 약 17-29% 낮음을 보여주었다. 이 차이는 다른 문헌에서 보인 차이와 거의 같았다. 본 논문에서 제시한 스펙트럼-조사선량율 변환연산자는 탁상용 계산기로 쉽게 계산할 수 있으며 환경방사선의 측정에 사용되는 여러 검출기에 대해서도 쉽게 적용할 수 있는 장점이 있고 지각에서 방출되는 각 핵종별로 조사선량율을 구할 수 있는 장점이 있다.