• 대한수학회논문집
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• 제14권2호
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• pp.385-392
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• 1999

We deal with a differential equation which is constructed from homogeneous function, and its geometrical meaning in a Finsler space. Moreover, were prove that a locally Minkowski space satisfying a differential equation F\ulcorner=0 is flat-parallel.

• 대한수학회보
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• 제54권3호
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• pp.825-838
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• 2017

In this paper we study the uniqueness question of meromorphic functions whose certain differential polynomials share a small function.

• 응용통계연구
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• 제18권1호
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• pp.183-196
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• 2005

본 논문에서는 다변량 정규분포하에서 비동차(non-homogeneous) 이차형식의 분포 함수에 대한 안장점근사법을 다루었다. 이는 Kuonen (1999)의 동차(homogeneous) 이차형식에 대한 안장점근사를 비동차의 경우로 확장한 것이다. 안장점근사의 적용을 위해 비동차 이차형식의 누율생성함수 및 관련 성질들을 유도하였다. 모의실험을 통해 안장점근사의 정도가 매우 뛰어남을 확인하였다.

• 대한수학회지
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• 제47권3호
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• pp.537-546
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• 2010

Multiple discrete Hilbert type inequalities are established in the case of non-homogeneous kernel function by means of Laplace integral representation of associated Dirichlet series. Using newly derived integral expressions for the Mordell-Tornheim Zeta function a set of subsequent special cases, interesting by themselves, are obtained as corollaries of the main inequality.

• Journal of applied mathematics & informatics
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• 제8권2호
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• pp.569-580
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• 2001

In this paper, we obtain some results on the Hyers-Ulam stability for the family of the functional equation f(xоy) = $H(f(x)^{1/t},f(y)^{1/t}$) (x, $y{\in}S$), where H is a homogeneous function of degree t and о is a square-symmetric operation on the set S.

• 대한수학회지
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• 제43권6호
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• pp.1301-1324
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• 2006

The affine homogeneous hypersurface in ${\mathbb{R}}^{n+1}$, which is a graph of a function $F:{\mathbb{R}}^n{\rightarrow}{\mathbb{R}}$ with |det DdF|=1, corresponds to a complete unimodular left symmetric algebra with a nondegenerate Hessian type inner product. We will investigate the condition for the domain over the homogeneous hypersurface to be homogeneous through an extension of the complete unimodular left symmetric algebra, which is called the graph extension.

• Kyungpook Mathematical Journal
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• 제54권1호
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• pp.1-9
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• 2014

We build new Hilbert-type integral inequalities in the whole plane with the non-homogeneous kernel involving some parameters and the best constant factors. We also consider their reverse.

• 대한수학회논문집
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• 제16권2호
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• pp.211-223
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• 2001

In this paper, we obtain the modified Hyers-Ulam-Rassias stability for the family of the functional equation f(x o y) = H(f(x)(sup)1/t, f(y)(sup)1/t)(x,y) $\in$S), where H is a s homogeneous function of degree t and o is a square-symmetric operation on the set S.

• 전자공학회논문지B
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• 제29B권7호
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• pp.70-78
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• 1992

In this paper, an approach for 3-D object segmentation and classification, which is based on eigen-values of polynomial function as their surface features, using neural network is proposed. The range images of 3-D objects are classified into surface primitives which are homogeneous in their intrinsic eigenvalue properties. The misclassified regions due to noise effect are merged into correct regions satisfying homogeneous constraints of Hopfield neural network. The proposed method has advantage of processing both segmentation and classification simultaneously.

• 한국시뮬레이션학회논문지
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• 제1권1호
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• pp.77-86
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• 1992

In this paper, we study validation test methods of DEVSA(Descrete Event system Specification) models using SPN(Stochastic Petri Net) models. We discuss conventional validation test methods, by which DEVS models can be transformed to SPN models, by reviewing the features of DEVS model. Based on the model transformation method, we define a new homogeneous function for validation test and suggest a new validation test method of DEVS models using the property of SPN models and the new homogeneous function.