• Journal of applied mathematics & informatics
• /
• 제40권5_6호
• /
• pp.1167-1179
• /
• 2022

In this paper, we obtain some subsets of real numbers (ℝ) on which a fractional part function is defined as a real-valued continuous function. This gives rise to the analysis of the continuous properties of the fractional part function as a real-valued function. The analysis of fractional part function is helpful in the study of the dynamics of circle.

• Journal of Mechanical Science and Technology
• /
• 제20권5호
• /
• pp.658-667
• /
• 2006

Fractional derivative models, which are used to describe the viscoelastic behavior of material, have received considerable attention. Thus it is necessary to put forward the analysis solutions of dynamic systems containing a fractional derivative. Although previously reported such kind of fractional calculus-based constitutive models, it only handles the particularity of rational number in part, has great limitation by reason of only handling with particular rational number field. Simultaneously, the former study has great unreliability by reason of using the complementary error function which can't ensure uniform real number. In this paper, a new approach is proposed for an analytical scheme for dynamic system of a spring-mass-damper system of single-degree of freedom under general forcing conditions, whose damping is described by a fractional derivative of the order $0<{\alpha}<1$ which can be both irrational number and rational number. The new approach combines the fractional Green's function and Laplace transform of fractional derivative. Analytical examples of dynamic system under general forcing conditions obtained by means of this approach verify the feasibility very well with much higher reliability and universality.

• 충청수학회지
• /
• 제27권3호
• /
• pp.393-401
• /
• 2014

In this work, we discuss the existence of mild solutions in the ${\alpha}$-norm for some partial functional integrodifferential equations with infinite delay. We assume that the linear part generates an analytic semigroup on a Banach space X and the nonlinear part is a Lipschitz continuous function with respect to the fractional power norm of the linear part.

• Structural Engineering and Mechanics
• /
• 제63권2호
• /
• pp.181-193
• /
• 2017

An identification method for determination of the parameters of the rheological models of dampers made of viscoelastic material is presented. The models have two, three or four parameters and the model equations of motion contain derivatives of the fractional order. The results of dynamical experiments are approximated using the trigonometric function in the first part of the procedure while the model parameters are determined as the solution to an appropriately defined optimization problem. The particle swarm optimization method is used to solve the optimization problem. The validity and effectiveness of the suggested identification method have been tested using artificial data and a set of real experimental data describing the dynamic behavior of damper and a fluid frequently used in dampers. The influence of a range of excitation frequencies used in experiments on results of identification is also discussed.

• 한국수학사학회지
• /
• 제27권6호
• /
• pp.409-419
• /
• 2014

In school mathematics, the logarithmic function is defined as the inverse function of an exponential function. And the natural logarithm is defined by the integral of the fractional function 1/x. But historically, Napier had already used the concept of logarithm in 1614 before the use of exponential function or integral. The calculation of the logarithm was a hard work. So mathematicians with arithmetic ability made the tables of values of logarithms and people used the tables for the estimation of data. In this paper, we first take a look at the mathematicians and mathematical principles related to the appearance and the developments of the logarithmic tables. And then we deal with the confusions between mathematicians, raised by the estimation data which were known as proportional parts or mean differences in common logarithmic tables.

• 대한전자공학회논문지SD
• /
• 제46권11호
• /
• pp.92-100
• /
• 2009

본 논문은 LLR-BP 복호 알고리즘을 사용하는 LDPC 복호기의 하드웨어 구조 분석하고 효율적인 복호기의 설계 방법들을 제시하였다. 또한 설계 시 복호 성능 및 하드웨어 복잡도에 영향을 미칠 수 있는 다양한 설계 이슈들을 제시하고 복호 성능의 변화를 모의실험을 통하여 분석하였다. 오류확률을 전달하는 메시지의 양자화는 정수부 3비트, 소수부 4비트를 할당하였고, 복호 성능이 저하되지 않도록 사전정보에 정수부 2비트, 소수부 4비트를 할당하였으며 LUT로 구현되는 $\Psi$(x) 함수를 조합회로인 PWL 블록으로 대체하여 하드웨어 구조의 개선에 대해 논의하였다. 복호 시간을 단축하기 위하여 중첩 스케줄링을 적용하고, 각 복호기 구조 및 설계 변수들의 제한에 따른 하드웨어 자원을 비교함으로써, 하드웨어 복잡도를 분석하였다.

• 정보처리학회논문지C
• /
• 제9C권3호
• /
• pp.385-398
• /
• 2002

제한된 라디오 스펙트럼에서 증가하는 이동 단말기의 수에 따라 서비스를 제공하기 위해서, 무선 시스템은 마이크로/피코 셀룰러 구조와 같이 설계되어야 한다. 이와 같이 다수의 사용자를 수용하기 위하여 셀 크기를 축소하게 되면 핸드오프 이벤트가 증가하게 되며, 안정적인 서비스를 제공하기 위해 효과적 처리해 줄 수 있는 핸드오프 기술이 필수적이라 할 수 있다. Population-Based Bandwidth Reservation(PBR) 구조는 한 셀(Cell)의 이웃에 있는 셀 들에게 셀룰러 트래픽의 양에 따라 대역폭의 양을 동적으로 조절함으로써 핸드오프 호(Hand-off Call)들에게 우선 순위를 제공하는 구조이다. 본 논문에서는 어떤 기간에 발생하는 핸드오프 호에 요구되는 전체 대역폭에 대한 요청 예약 비율을 나타내는 Fractional Parameter, f의 변화에 따라 PBR 구조의 성능을 분석하였다. 파라미터 f의 값은 QoS(Quality of Service) 요구에 따라 결정되어지며, 요구사항을 충족시키기 위하여 변화하는 트래픽 상태에 따라 동적으로 조절된다. f의 최적값은 이동국(Mobile Station)의 속도, 평균 호의 기간, 셀 크기 등에 따라 결정되어진다. 본 논문에서는 이동국의 속도에 따라서 평균 호의 기간과 셀 크기를 가정하였다. 속도에 따라서 약간의 타이가 나지만, 0.4 $\leq$ f $\leq$ 0.6인 경우에서 Blocking Probability, Dropping Probability, Utilization이 최적인 값을 가지게 된다.

• 동국한의학연구소논문집
• /
• 제1권
• /
• pp.55-80
• /
• 1992

In order to examine that the effect of Sam Hwa San, circulating the vital energy of Sam Cho and controlling body fluid metabolism, gives any influence on renal function, changes in the urine flow, eletrolytes excretion, plasma aldosterone concentration and renin activity were observed after intravenous infusion of the Sam Hwa San extract in rabbit. Also in vitro effect of the herb extract on oxygen consumption in renal cortical slices and ATPase activity in kidney microsomes was measured. The following results were obtained : 1. The urine flow was markedly increased at 10 min after intravenous infusion of the Sam Hwa San extract($0.134{\pm}0.015$ vs. $0.433{\pm}0.046ml/min.kg$), but return ed to normal value after 40 min of infusion. 2. The glomerular filtration rate was significantly increased at 10 min after in travenous infusion of the Sam Hwa San extract, and the renal plasma flow at 10 and 20 min after infusion of the Sam Hwa San extract, following return to normal value. 3. $Na^+$ excretion was significantly increased during 10-40 min after intravenous infusion of the Sam Hwa San extract, although showed the maximal rate at 10-20 min. The fractional $Na^+$ excretion was also increased during 10-40 min. $K^+$ excretion was rapidly increased at 10 min after the intravenous Infusion of the Sam Hwa San extract and then gradually decreased to normal level at 40 min. The fractional $K^+$ excretion was significantly increased during 10-40 min after the intravenous infusion of the Sam Hwa San extract. 4. The plasma aldosterone concentration and renin activity were not altered by the infusion of the Sam Hwa San extract. 5. The ouabain-sensitive oxygen consumption of renal cortical slices was significantly reduced by the Sam Hwa San extract(0.5 and 1.0 vol.%). 6. The Na-K-ATPase activity of renal microsomes was strongly inhibited by the Sam Hwa San extract(0.5 and 1.0 vol.%). These results suggest that the Sam Hwa San causes a strong diuretic effect which results from reduction of Na reabsorption in renal tubule by a direct inhibition of Na-pump and, in part, from all increase in renal blood flow. In clinic, it is considered to obtain the therapeutic effect in body fluid metabolism disharmony to cause the circular disorder of vital energy.

• 암석학회지
• /
• 제3권1호
• /
• pp.76-93
• /
• 1994

선캠브리아 홍제사 화강암은 중앙부의 흑운모화강암으로부터 주변부로 갈수록 흑운모-백운모 화강암으로 변한다. 흑운모의 X_{Fe}$ (=Fe/(Fe+Mg)) 값과 알루미늄 포화도는 광물조합에 따라 체계적으로 변화하고 전암의 화학조성과 정의 상관관계를 보인다. 이러한 변화는 화강암체내의 누대구조와 함께 홍제사 화강암질 마그마의 분별정출작용에 기인한다. 미량원소 자료 또한 흑운모-백운모 화강암이 흑운모 화강암에 비해 더 진화하였음을 지지한다. 홍제사 화강암의 진화는 AFM 액상도 (A=$Al_2O_3-CaO-Na_2O-K_2O$;F=FeO+MnO; M=MgO)를 사용하여 잘 설명된다. 흑운모만 정출하는 초기 마그마단계에서 화강암질 마그마의 $X_{Fe}$ 값과 알루미늄 포화도는 동시에 증가한다. 이후에 백운모가 흑운모-백운모 공융선을 따라 흑운모와 함께 정출하며, 그 결과 흑운모-백운모 화강암이 산출된다. 국부적으로 Mn과 B이 증가함에 따라 석류석과 전기석이 정출된다. 화강암체 주변부에서 흑운모-백운모 화강암이 산출하는 특징적 누대구조는 홍제사 화강암 관입시의 수동적 스토핑(passive stoping)에 의해 설명될 수 있다. 주성분 원소를 사용한 분별그림은 홍제사 화강암이 대륙 충돌 환경하에서 관입하였음을 지시한다.