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Optimal Sequential Tests which minimize the Average Sample Size
SUNG LAI KIM 충청수학회 1990 충청수학회지 Vol.3 No.1
For testing a hypothesis H : (θ = θ1, vs A : θ = θ2 (θ1 < θ2), we obtain a truncated sequential bayes procedure which minimizes the average sample isize between θ1 and θ2.
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On the order and rate of convergence for pseudo-secant-Newton's method locating a simple real zero
김영익 충청수학회 2006 충청수학회지 Vol.19 No.2
By combining the classical Newton's method with the pseudo-secant method, pseudo-secant-Newton's method is constructed and its order and rate of convergence are investigated. Given a function $f: \R \to \R$ that has a simple real zero $\a$ and is sufficiently smooth in a small neighborhood of $\a$, the convergence behavior is analyzed near $\a$ for pseudo-secant-Newton's method. The order of convergence is shown to be cubic and the rate of convergence is proven to be $\left( \frac{ f^{\pp}(\a) } {2 f^{\pr}(\a)} \right)^2 $. Numerical experiments show the validity of the theory presented here and are confirmed via high-precision programming in Mathematica.
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THE GENERALIZED FERNIQUE'S THEOREM FOR ANALOGUE OF WIENER MEASURE SPACE
류근식 충청수학회 2009 충청수학회지 Vol.22 No.4
In 1970, Fernique proved that there is a positive realnumber α such that[수식] is finite where (B; P) isan abstract Wiener measure space and [수식] is a measurable normon (B, P) in [2, 3]. In this article, we investigate the existenceof the integral[수식] is theanalogue of Wiener measure space and p and α are both positivereal numbers.
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Approximate ring homomorphisms over $p$-adic fields
박춘길,전길웅,Gang Lu 충청수학회 2006 충청수학회지 Vol.19 No.3
In this paper, we prove the generalized Hyers{Ulamstability of ring homomorphisms over thep-adic eld Qp associatedwith the Cauchy functional equation f(x+ y) = f(x)+ f(y) and theCauchy{Jensen functional equation 2f(x+ y2 + z) = f(x) + f(y) +2f(z).
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ON A CHARACTERIZATION OF T_FUNCTIONS WITH ONE CYCLE PROPERTY
이민섭 충청수학회 2008 충청수학회지 Vol.21 No.2
To the design of secret key, there are two types of basic approaches called the tame approach and the wild approach. In the tame approach we try to use only simple primitives such as linear feedback shift registers and to prove mathematical theorems about their cryptographic properties. In the wild approach we try to use crazy compositions of operations which mix a variety of domains in a nonlinear and nonalgebraic way. There are several papers which try to bridge this gap by considering semi-wild constructions. A T_function on n-bit words plays an important role in semi-wild constructions. In this paper we study the invertibility and the period of some T_functions. Especially we characterize some polynomials which has a single cycle property.
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Axes of a minimal surface with planar ends
진선숙 충청수학회 2007 충청수학회지 Vol.20 No.1
In this article, we consider axes of a minimal surface in $\bfr$ of genus zero with a planar end, and then prove that two consecutive axes near the planar end must be parallel but cannot be in a same line.
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On uniform convergence theorems for the interior integral
임동일,Yung-Jinn Kim 충청수학회 2006 충청수학회지 Vol.19 No.4
In this paper, we introduce interior integral and prove uniform convergence theorems for the interior integral.
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Mappings related to minimal surfaces
전숙희 충청수학회 2006 충청수학회지 Vol.19 No.4
In this paper, we study harmonic mappings related to the nonparametric minimal surfaces that lie over the upper halfplane.
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On equivalent norms to Bloch norm in $\Bbb C^n$
최기성 충청수학회 2006 충청수학회지 Vol.19 No.4
For f 2 L2(B;d), k f kBMO = gjfj2(z) j ~f(z)j2. For fcontinuous on B, k f kBO = sup fw(f)(z) : z 2 Bg where w(f)(z) =supfjf(z) f(w)j : (z;w) 1g. In this paper, we will show that iff 2 BMO , then k f kBO M k f kBMO . We will also show that iff 2 BO, then k f kBMO M k f k2BO . A holomorphic function f :B ! Cis called a Bloch function (f 2 B ) ifk f kB= sup z2 B Qf (z) < 1 . In thispaper, we will show that if f 2 B , then k f kBO k f kB. We will also showthat iff 2 BMO and f is holomorphic, then k f k2B M k f kBMO .
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CHARACTERISTIC MULTIFRACTAL IN A SELF-SIMILAR CANTOR SET
백인수 충청수학회 2008 충청수학회지 Vol.21 No.2
We study essentially disjoint one dimensionally indexed classes whose members are distribution sets of a self-similar Cantor set. The Hausdorff dimension of the union of distribution sets in a same class does not increases the Hausdorff dimension of the characteristic distribution set in the class. Further we study the Hausdorff dimension of some uncountable union of distribution sets.
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