• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제3권2호
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• pp.29-36
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• 1999

It is shown that a new Krylov subspace method for solving symmetric indefinite systems of linear equations can be obtained. We call the method as the projection method in this paper. The residual vector of the projection method is maintained at each iteration, which may be useful in some applications.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제5권1호
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• pp.79-83
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• 2001

We find a cutting formula of the Diamond wheel with two radii.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제6권1호
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• pp.59-65
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• 2002

In this paper, we consider some homogeneous maps from a cone over 2-spheres and determines whether they become energy minimizing maps or not. In fact, any homogeneous map from a standard cone over 2-sphere of radius smaller than 1 can not be a minimizing harmonic map.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제6권1호
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• pp.67-80
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• 2002

We formulate a pair of nondifferentiable symmetric dual variational problems with a square root term. Under invexity assumptions, we establish weak, strong, converse and self duality theorems for our variational problems by using the generalized Schwarz inequality. Also, we give the static case of our nondifferentiable symmetric duality results.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제5권1호
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• pp.25-33
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• 2001

Let G be a finite group with a probability measure. We investigate the random walks on G in terms of ergodicity of the associated skew product transformation.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제4권1호
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• pp.23-28
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• 2000

We compute the order of jacobian groups of hyperelliptic curves on a finite field of characteristic 3 and we determine which curves are secure against known attacks.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제4권1호
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• pp.133-142
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• 2000

In this note we define typical set and differential entropy for continuous random variables. Using Markov chain, we show that the various properties of the mutual information and entropies (theorems 3.2 and 3.4 ) and show the properties of typical set in continuous random variables( lemma 4.2 and theorem 4.3.)

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제4권1호
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• pp.39-48
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• 2000

In this paper we define T-fuzzy integrals of set-valued mappings, which are extensions of fuzzy integrals of the single-valued functions defined by Sugeno. And we discuss their properties.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제18권3호
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• pp.279-282
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• 2014

In this paper, we report a new sharp inequality of interpolation type in $\mathbb{R}^n$. This inequality is for controlling weighted average of a function via $L^n$ norm of the gradient of a function together with its' certain exponential norm.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제8권1호
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• pp.1-9
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• 2004

We knew attractive qualities of a rotation number for an analytic diffeomorphism, for example, Arnold tongues and staircase. Numerical computer simulation let us know easily that the pattern of rotation number of a non analytic homeomorphism is similar to its of an analytic homeomorphism for some cases. Also we define new rotation function and investigate it's properties.