• Korean Journal of Mathematics
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• 제30권4호
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• pp.593-601
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• 2022

Let C(Q) denote Yeh-Wiener space, the space of all real-valued continuous functions x(s, t) on Q ≡ [0, S] × [0, T] with x(s, 0) = x(0, t) = 0 for every (s, t) ∈ Q. For each partition τ = τ_m,n = {(s_i, t_j)|i = 1, . . . , m, j = 1, . . . , n} of Q with 0 = s₀ < s₁ < . . . < s_m = S and 0 = t₀ < t₁ < . . . < t_n = T, define a random vector X_τ : C(Q) → ℝ^mn by X_τ (x) = (x(s₁, t₁), . . . , x(s_m, t_n)). In this paper we study the conditional integral transform and the conditional convolution product for a class of cylinder type functionals defined on K(Q) with a given conditioning function X_τ above, where K(Q)is the space of all complex valued continuous functions of two variables on Q which satify x(s, 0) = x(0, t) = 0 for every (s, t) ∈ Q. In particular we derive a useful equation which allows to calculate the conditional integral transform of the conditional convolution product without ever actually calculating convolution product or conditional convolution product.

• 지구물리와물리탐사
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• 제14권3호
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• pp.242-248
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• 2011

균일한 모델에 대하여 해석적인 방법을 적용하여 한반도 남동부의 감쇠상수 고유치를 분리하였다. 해석적인 방법에 의한 이론치와 759 지진자료에 의한 관측치를 다중지연시간창법으로 비교하여 분리를 행하였다. 이전의 연구에서 한반도의 전체 $Q_i^{-1}$과 $Q_s^{-1}$ 값은 매우 낮은 값이 도출되어 지진 안정지대의 값을 반영하는 것으로 풀이된 반면, 한반도 남동부는 비교적 높은$Q^{-1}$값이어서 이는 한반도 타지역에 비해 높은 지진활동도와 연관된 것으로 보인다.

• 대한수학회논문집
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• 제9권3호
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• pp.539-545
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• 1994

Let $q = p^r$, where p is a prime. A polynomial $f(x) \in GF(q)[x]$ is called a permutation polynomial (PP) over GF(q) if the numbers f(a) where $a \in GF(Q)$ are a permutation of the a's. In other words, the equation f(x) = a has a unique solution in GF(q) for each $a \in GF(q)$. More generally, $f(x_1, \cdots, x_n)$ is a PP in n variables if $f(x_1,\cdots,x_n) = \alpha$ has exactly $q^{n-1}$ solutions in $GF(q)^n$ for each $\alpha \in GF(q)$. Mullen ([3], [4], [5]) has studied the concepts of local permutation polynomials (LPP's) over finite fields. A polynomial $f(x_i, x_2, \cdots, x_n) \in GF(q)[x_i, \codts,x_n]$ is called a LPP if for each i = 1,\cdots, n, f(a_i,\cdots,x_n]$ is a PP in $x_i$ for all $a_j \in GF(q), j \neq 1$.Mullen ([3],[4]) found a set of necessary and three variables over GF(q) in order that f be a LPP. As examples, there are 12 LPP's over GF(3) in two indeterminates ; $f(x_1, x_2) = a_{10}x_1 + a_{10}x_2 + a_{00}$ where $a_{10} = 1$ or 2, $a_{01} = 1$ or x, $a_{00} = 0,1$, or 2. There are 24 LPP's over GF(3) of three indeterminates ; $F(x_1, x_2, x_3) = ax_1 + bx_2 +cx_3 +d$ where a,b and c = 1 or 2, d = 0,1, or 2.

• Kyungpook Mathematical Journal
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• 제51권1호
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• pp.69-76
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• 2011

In this paper, we introduce a partitioning ideal of a ternary semiring which is useful to develop the quotient structure of ternary semiring. Indeed we prove : 1) The quotient ternary semiring S/$I_{(Q)}$ is essentially independent of choice of Q. 2) If f : S ${\rightarrow}$ S' is a maximal ternary semiring homomorphism, then S/ker $f_{(Q)}$ ${\cong}$ S'. 3) Every partitioning ideal is subtractive. 4) Let I be a Q-ideal of a ternary semiring S. Then A is a subtractive ideal of S with I ${\subseteq}$ A if and only if A/$I_{(Q{\cap}A)}$ = {q + I : q ${\in}$ Q ${\cap}$ A} is a subtractive idea of S/$I_{(Q)}$.

• 지구물리와물리탐사
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• 제12권2호
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• pp.199-207
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• 2009

한반도의 329개 지진자료에 대하여 S파 감쇠상수의 고유치 분리를 Multiple Lapse Time Window Method(MLTW)법으로 수행하였다. 균일한 속도구조에서 고유감쇠 $Q_i^{-1}$ 값은 S파 직접파와 코다파의 진폭을 감쇠시키고, 산란감 쇠 $Q_s^{-1}$ 값은 S파 직접파는 감쇠시키는 반면 코다파는 증폭시킨다. MLTW법은 해석적인 방법으로 이론곡선을 구하여 관 측값과 최소제곱오차를 이루는 고유 및 산란감쇠를 구하는 방법이다. 지금까지 한반도와 같은 지진 안정지대에서의 MLTW 법 적용연구는 행하여진 바 없는데, MLTW법에 의한 한반도의 $Q_i^{-1}$과 $Q_s^{-1}$ 값은 5 Hz 이하에서 매우 낮은 값이 도출되어 이는 한반도와 같은 지진 안정지대의 값을 반영하는 것으로 풀이된다.

• 대한수학회논문집
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• 제18권1호
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• pp.151-157
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• 2003

The aim of this paper is to derive the well-known q-analog of kummer's theorem by using q-integral representation. In addition to this, two results closely related to the q-kummer's theorem have also been obtained by the same method.

• 대한수학회지
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• 제42권3호
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• pp.405-434
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• 2005

We establish appropriate $L^p$ estimates for a class of maximal operators $S_{\Omega}^{(\gamma)}$ on the product space $R^n\;\times\;R^m\;when\;\Omega$ lacks regularity and $1\;\le\;\gamma\;\le\;2.\;Also,\;when\;\gamma\;=\;2$, we prove the $L^p\;(2\;{\le}\;P\;<\;\infty)\;boundedness\;of\;S_{\Omega}^{(\gamma)}\;whenever\;\Omega$ is a function in a certain block space $B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ (for some q > 1). Moreover, we show that the condition $\Omega\;{\in}\;B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ is nearly optimal in the sense that the operator $S_{\Omega}^{(2)}$ may fail to be bounded on $L^2$ if the condition $\Omega\;{\in}\;B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ is replaced by the weaker conditions $\Omega\;{\in}\;B_q^{(0,\varepsilon)}(S^{n-1}\;\times\;S^{m-1})\;for\;any\;-1\;<\;\varepsilon\;<\;0.$

• Journal of Nutrition and Health
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• 제37권4호
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• pp.329-338
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• 2004

The purposes of this study were to : a) develop the quality assessment tool of hospital foodservice management, b) evaluate the S hospital's foodservice quality by this tool, and c) do the feasibility study about this tool in hospital food-service field by establishing quality management strategies. The developed quality assessment tool of hospital food-service management was consisted of 20 items for quality evaluation by Likert 5 point scale and two additional questions with the most satisfactory item and the most unsatisfactory item. As a result of evaluation, S hospital's foodservice quality was somewhat high, on the factor 'personnel attitude', especially. The IPA technique proved nine items including Q5, Q7, Q8, Q11, Q12, Q13, Q15, Q16, Q17 were in 'Doing Great, Keep It Up' and seven items such as Q1, Q2, Q3, Q6, Q9, Q18, Q19 that got high expectation and low perception needed to be focused in quality management strategy.

• 대한수학회보
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• 제52권1호
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• pp.35-43
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• 2015

Let q > 1 be an odd integer and c be a fixed integer with (c, q) = 1. For each integer a with $1{\leq}a{\leq}q-1$, it is clear that the exists one and only one b with $0{\leq}b{\leq}q-1$ such that $ab{\equiv}c$ (mod q). Let N(c, q) denote the number of all solutions of the congruence equation $ab{\equiv}c$ (mod q) for $1{\leq}a$, $b{\leq}q-1$ in which a and $\bar{b}$ are of opposite parity, where $\bar{b}$ is defined by the congruence equation $b\bar{b}{\equiv}1$ (modq). The main purpose of this paper is using the mean value theorem of Dirichlet L-functions to study the mean value properties of a summation involving $(N(c,q)-\frac{1}{2}{\phi}(q))$ and Kloosterman sums, and give a sharper asymptotic formula for it.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제4권2호
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• pp.137-144
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• 1997

In this paper we consider covering problems in spherical geometry. Let $cov_q{S_1}^n$ be the smallest radius of q equal metric balls that cover n-dimensional unit sphere ${S_1}^n$. We show that $cov_q{S_1}^n\;=\;\frac{\pi}{2}\;for\;2\leq\;q\leq\;n+1$ and $\pi-arccos(\frac{-1}{n+1})$ for q = n ＋ 2. The configuration of centers of balls realizing $cov_q{S_1}^n$ are established, simultaneously. Moreover, some properties of $cov_{q}$X for the compact metric space X, in general, are proved.