• 대한수학회지
• /
• 제43권3호
• /
• pp.507-528
• /
• 2006

In this paper we show that the Koecher's Jordan automorphic generators of one variable on an irreducible symmetric cone are enough to determine the elements of scalar multiple of the Jordan identity on the attached simple Euclidean Jordan algebra. Its various geometric, Jordan and Lie theoretic interpretations associated to the Cartan-Hadamard metric and Cartan decomposition of the linear automorphisms group of a symmetric cone are given with validity on infinite-dimensional spin factors

• Nonlinear Functional Analysis and Applications
• /
• 제28권2호
• /
• pp.449-471
• /
• 2023

In this paper, we study a linear system of homogeneous commensurate /incommensurate fractional-order differential equations by developing a new semi-analytical scheme. In particular, by decoupling the system into two fractional-order differential equations, so that the first equation of order (δ + γ), while the second equation depends on the solution for the first equation, we have solved the under consideration system, where 0 < δ, γ ≤ 1. With the help of using the Adomian decomposition method (ADM), we obtain the general solution. The efficiency of this method is verified by solving several numerical examples.

• The Journal of Asian Finance, Economics and Business
• /
• 제8권1호
• /
• pp.113-122
• /
• 2021

This study aims to investigate the effects of fiscal policy instruments on economic growth in Jordan using annual data from 1970 to 2019, by applying the VAR model (Vector Auto regression) and the Vector Error Correction Model (VECM). The study also examines the dynamic relationship among economic variables over time using the Granger casualty test, Impulse Response Function, and Variance Decomposition. The results show that not only the public expenditures have a positive effect on economic growth in Jordan, but also the tax revenues positively affect the economic growth in the short-run, and this is because of using the tax revenues to finance the government activities in Jordan. This effect becomes negative in the long run, and this is explained because the tax seems a source of distortions in the economy, The extreme taxes may cause huge distortions in the economy, and these distortions destroys the purchasing power, the aggregate demand, and supply. More governmental dependence on tax revenues is the main source of tax evasion and less efficiency. The effect of taxation will curb any prosperity in the economy. Therefore, the government should estimate the fair tax rates to generate sufficient revenues to finance the public expenditure required to enhance economic prosperity.

• 융합신호처리학회논문지
• /
• 제12권3호
• /
• pp.163-168
• /
• 2011

본 논문은 감마보정을 위한 비선형 곡선 알고리즘의 개선에 관한 연구이다. 기존의 비선형 감마 곡선 생성 방법은 Gauss-Jordan 역행렬을 적용한 최소 자승 다항식(Least Square Polynomial)을 사용하였다. 이 방법은 다항식 계수 값 계산 과정 중 고차행렬의 역행렬 연산에서 $10^{-11}$ 이하의 매우 작은 값은 절단함으로써 곡선접합의 정밀도가 감소된다. 또한 입력으로 사용되는 샘플 포인트가 10-bit 기준으로 0~1023의 밝기 값에 대하여 고루 분포되어있는 경우에만 정확한 동작이 가능하다. 본 논문은 이러한 기존 알고리즘의 단점을 보완하기 위하여, 고차 다항식의 계수 값을 반데몬드 행렬(Vandemond Matrix)에 SVD분해(Singular Value Decomposition)와 QR분해법(QR Decomposition)을 적용하여 행렬의 고유치와 직교성분만으로 연산하였다 또한, 입력 데이터의 구간을 분할하여 각 구간의 다항식을 생성하고, 새롭게 생성된 다항식을 이용하여 곡선 접합을 수행하도록 하였다. 입력 데이터와 곡선 접합결과의 평균제곱오차(Mean Square Error: MSE)와 표준편차(Standard Deviation: STD)를 통한 오차율 비교 결과 최하위 비트(Least Significant Bit: LSB) 에러 범위에서 MSE가 약 $10^{-9}$ 이고 STD는 약 $10^{-5}$로 정밀도가 향상되었다.

• Journal of applied mathematics & informatics
• /
• 제25권1_2호
• /
• pp.525-531
• /
• 2007

We newly introduce the concept of summable in measure and investigate on some its properties. In addition to this, we consider a size of given series by means of we are giving Lebesgue measure to an associated series.

• The Journal of Asian Finance, Economics and Business
• /
• 제7권11호
• /
• pp.83-93
• /
• 2020

This empirical research aims to modeling and improving the forecasting accuracy of the volatility pattern by employing the Saudi Arabia stock market (Tadawul)by studying daily closed price index data from October 2011 to December 2019 with a number of observations being 2048. In order to achieve significant results, this study employs many mathematical functions which are non-linear spectral model Maximum overlapping Discrete Wavelet Transform (MODWT) based on the best localized function (Bl14), autoregressive integrated moving average (ARIMA) model and generalized autoregressive conditional heteroskedasticity (GARCH) models. Therefore, the major findings of this study show that all the previous events during the mentioned period of time will be explained and a new forecasting model will be suggested by combining the best MODWT function (Bl14 function) and the fitted GARCH model. Therefore, the results show that the ability of MODWT in decomposition the stock market data, highlighting the significant events which have the most highly volatile data and improving the forecasting accuracy will be showed based on some mathematical criteria such as Mean Absolute Percentage Error (MAPE), Mean Absolute Scaled Error (MASE), Root Means Squared Error (RMSE), Akaike information criterion. These results will be implemented using MATLAB software and R- software.

• 대한수학회보
• /
• 제58권3호
• /
• pp.637-657
• /
• 2021

In this paper, we decompose (under unitary similarity) the Kronecker sum A ⊞ A (= A ⊗ I + I ⊗ A) into a direct sum of irreducible matrices, when A is a 3×3 matrix. As a consequence we identify 𝒦(A⊞A) as the direct sum of several full matrix algebras as predicted by Artin-Wedderburn theorem, where 𝒦(T) is the unital algebra generated by Tand T^*.

• 한국시뮬레이션학회논문지
• /
• 제33권1호
• /
• pp.19-26
• /
• 2024

단계형 확률분포는 마코프 체인이 특정 상태로 흡수되는 시점까지 거쳐가는 여러 단계에서 체재하는 시간들의 합으로 정의되며 대기행렬 시스템과 신뢰성 분석 모형 등에 광범위하게 사용된다. 연속적 단계형 분포의 경우 흡수 상태로 진입하기까지 거쳐가는 각각의 단계에서의 체재 시간이 지수분포를 따르므로 연속적 단계형 분포는 다양한 지수분포들의 합 또는 볼록 결합으로 나타낼 수 있다. 단계형 분포를 생성하는 가장 일반적이면서도 직관적인 방법은 마코비안 표현방법이라 불리는 초기 확률벡터와 전이 생성행렬에 의해 주어지는 조건부 확률을 이용하는 것이다. 적률이 주어진 상황에서 단계형 변수를 생성하는 방법에 대한 기존의 연구들은 대부분 적률을 마코비안 표현방법으로 변환하는 것을 전제로 하고 있다. 본 연구에서는 적률을 마코비안 표현방법으로 변환하지 않고 확률 분포함수를 결정하여 단계형 확률변수를 생성하는 방법에 대해 살펴보고 마코프 표현을 사용하는 기존의 방법 대신에 조단 분해법과 최소 표현 라플라스 변환을 이용하여 2계 단계형 확률변수를 분포함수를 결정하는 공식과 절차를 제시한다. 이러한 접근 방법은 고차원의 단계형 확률분포를 이용하여 대기행렬의 시뮬레이션을 하는 경우에 마코비안 표현방법의 전이행렬을 결정하여 변수를 생성하는 경우보다 효율적이다.

• 대한기계학회논문집A
• /
• 제22권4호
• /
• pp.753-761
• /
• 1998

The determination of sound pressure radiated from periodic plate structures is fundamental in the estimation of noise level in aircraft fuselages or ship hull structures. As a robust approach to this problem, here a very general and comprehensive analytical model is developed for predicting the sound radiated by a vibrating plate stiffened by periodically spaced orthogonal unsymmetrical beams subjected to a sinusoidally time varying point load. The plate is assumed to be infinite in extent, and the beams are considered to exert both line force and moment reactions on it. Using this theoretical model, the sound pressure levels on axis in a semi-infinited fluid (water) bounded by the plate were calculated using three numerical tools such as the Gauss-Jordan method, the LU decomposition method and the IMSL numberial package. Especially, the variation in the sound pressure levels and their modes were investigated according to the change in frequency, bay spacing and bay distance.

• 한국공작기계학회논문집
• /
• 제11권1호
• /
• pp.52-60
• /
• 2002

The purpose of this research is to study the vibration and acoustic pressure radiation from a thin isotropic flat plate stiffened by a rectangular array of beams, and excited by a time harmonic point force. These constructions on aircraft and ship structures are often subjected to fiequency dependent pressure fluctuations and forces. Forces from the these excitations induce structural vibrations in a wide range of fiequencies, which may cause such things as acoustic fatigue and internal cabin noise in the aircraft. It is thus important that the response characteristics and vibration modes of such periodic structures be horn. From this theoretical model, the sound pressure levels(SPL) in a semi-infinite fluid(water) bounded by the plate with the variation in the locations of an external time harmonic point farce on the plate can be calculated efficiently using three numerical tools such as the Gauss-jordan method the LU decomposition method md the IMSL numerical package.