• East Asian mathematical journal
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• 제33권3호
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• pp.317-322
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• 2017

Let $D{\subseteq}E$ be an extension of integral domains with characteristic zero, I be a nonzero proper ideal of D, and let H(D, E) and H(D, I) (resp., h(D, E) and h(D, I)) be composite Hurwitz series rings (resp., composite Hurwitz polynomial rings). In this article, we show that H(D, E) is an Archimedean ring if and only if h(D, E) is an Archimedean ring, if and only if ${\bigcap}_{n{\geq}1}d^nE=(0)$ for each nonzero nonunit d in D. We also prove that H(D, I) is an Archimedean ring if and only if h(D, I) is an Archimedean ring, if and only if D is an Archimedean ring.

• Kyungpook Mathematical Journal
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• 제54권4호
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• pp.587-593
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• 2014

Let D be an integral domain with quotient field K, $\bar{D}$ denote the integral closure of D in K and * be a star-operation on D. In this paper, we study the *-Nagata ring of AP*MDs. More precisely, we show that D is an AP*MD and $D[X]{\subseteq}\bar{D}[X]$ is a root extension if and only if the *-Nagata ring $D[X]_{N_*}$ is an AB-domain, if and only if $D[X]_{N_*}$ is an AP-domain. We also prove that D is a P*MD if and only if D is an integrally closed AP*MD, if and only if D is a root closed AP*MD.

• Kyungpook Mathematical Journal
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• 제55권3호
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• pp.507-514
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• 2015

Let D be an integral domain, t be the so-called t-operation on D, and S be a (not necessarily saturated) multiplicative subset of D. In this paper, we study the Nagata ring of S-Noetherian domains and locally S-Noetherian domains. We also investigate the t-Nagata ring of t-locally S-Noetherian domains. In fact, we show that if S is an anti-archimedean subset of D, then D is an S-Noetherian domain (respectively, locally S-Noetherian domain) if and only if the Nagata ring $D[X]_N$ is an S-Noetherian domain (respectively, locally S-Noetherian domain). We also prove that if S is an anti-archimedean subset of D, then D is a t-locally S-Noetherian domain if and only if the polynomial ring D[X] is a t-locally S-Noetherian domain, if and only if the t-Nagata ring $D[X]_{N_v}$ is a t-locally S-Noetherian domain.

• 한국위성정보통신학회논문지
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• 제2권1호
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• pp.41-47
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• 2007

한국전자통신연구원은 위성항법의 다양한 응용프로그램과 항법알고리즘을 위한 시험 및 평가환경을 제공하는 소프트웨어 위성항법 이산화 IF 신호시뮬레이터를 소프트웨어 기반 GNSS 공공활용기술통합검증시스템 개발 과제의 일환으로 개발하고 있다. 소프트웨어 위성항법 신호시뮬레이터는 GPS 및 갈릴레오 디지털신호를 제공하게 된다. 본 논문에서는 이러한 소프트웨어 위성항법 이산화 IF 신호 시뮬레이터의 요구사항 및 개념설계에 대하여 기술하고 있다.

• 호남수학학술지
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• 제33권3호
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• pp.419-424
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• 2011

Let D be an integral domain, Spec(D) the set of prime ideals of D, and X a subspace of the Zariski topology on Spec(D). We show that X is compact if and only if given any ideal I of D with $I{\nsubseteq}P$ for all $P{\in}X$, there exists a finitely generated idea $J{\subseteq}I$ such that $J{\nsubseteq}P$ for all $P{\in}X$. We also prove that if D = ${\cap}_{P{\in}X}D_P$ and if * is the star-operation on D induced by X, then X is compact if and only if * $_f$-Max(D) ${\subseteq}$X. As a corollary, we have that t-Max(D) is compact and that ${\mathcal{P}}$(D) = {P${\in}$ Spec(D)$|$P is minimal over (a : b) for some a, b${\in}$D} is compact if and only if t-Max(D) ${\subseteq}\;{\mathcal{P}}$(D).

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제12권2호
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• pp.162-166
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• 2012

The instantaneous amplitude (IA) based on the higher order differential energy operator is proposed. And its general form for arbitrary order is also proposed. The various definitions of the IA and the instantaneous frequency (IF) estimators are considered. The IA and IF estimators based on the energy operators need less computational cost than the conventional IF and IA estimators exploiting the Hilbert transform. The IF and IA estimators are compared in terms of the frequency and amplitude tracking accuracy of the AM-FM signals. For noiseless case, the IA and IF estimators based on the Teager-Kaiser energy operator show better tracking performance than the IF and IA estimators based on the higher energy operators. However, under noisy condition, the IF and IA estimator based on the higher order energy operators with the order 3 and 4 show better tracking than the Teager-Kaiser energy based estimators. The IF and IA estimators are applied to signals in the various power anomalies to show their usefulness as the disturbance detectors.

• 대한수학회보
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• 제37권1호
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• pp.171-179
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• 2000

We prove the following: (1) For a Hausdorff space X, the hyperspace K(X) of compact subsets of X is hemicompact if and only if X is hemicompact. (2) For a regular space X, the hyperspace $C_K(X)$ of subcontinua of X is hemicompact (hemiconnected) if and only if X is hemicompact (hemiconnected). (3) For a locally compact Hausdorff space X, each open set in X is hemicompact if and only if each basic open set in the hyperspace K(X) is hemicompact. (4) For a connected, locally connected, locally compact Hausdorff space X, K(X) is hemiconnected if and only if X is hemiconnected.

• 대한수학회보
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• 제40권2호
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• pp.223-234
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• 2003

This note contains the following results for a ring A : (1) A is simple Artinian if and only if A is a prime right YJ-injective, right and left V-ring with a maximal right annihilator ; (2) if A is a left quasi-duo ring with Jacobson radical J such that $_{A}$A/J is p-injective, then the ring A/J is strongly regular ; (3) A is von Neumann regular with non-zero socle if and only if A is a left p.p.ring containing a finitely generated p-injective maximal left ideal satisfying the following condition : if e is an idempotent in A, then eA is a minimal right ideal if and only if Ae is a minimal left ideal ; (4) If A is left non-singular, left YJ-injective such that each maximal left ideal of A is either injective or a two-sided ideal of A, then A is either left self-injective regular or strongly regular : (5) A is left continuous regular if and only if A is right p-injective such that for every cyclic left A-module M, $_{A}$M/Z(M) is projective. ((5) remains valid if 《continuous》 is replaced by 《self-injective》 and 《cyclic》 is replaced by 《finitely generated》. Finally, we have the following two equivalent properties for A to be von Neumann regula. : (a) A is left non-singular such that every finitely generated left ideal is the left annihilator of an element of A and every principal right ideal of A is the right annihilator of an element of A ; (b) Change 《left non-singular》 into 《right non-singular》in (a).(a).

• 대한수학회보
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• 제31권2호
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• pp.187-192
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• 1994

The author extended the small properties of topological semilattices to that of regular semigroups [3]. In this paper, it could be shown that a semigroup S is almost regular if and only if over bar RL = over bar R.cap.L for every right ideal R and every left ideal L of S. Moreover, it has shown that the Bohr compactification of an almost regular semigroup is regular. Throughout, a semigroup will mean a topological semigroup which is a Hausdorff space together with a continuous associative multiplication. For a semigroup S, we denote E(S) by the set of all idempotents of S. An element x of a semigroup S is called regular if and only if x .mem. xSx. A semigroup S is termed regular if every element of S is regular. If x .mem. S is regular, then there exists an element y .mem S such that x xyx and y = yxy (y is called an inverse of x) If y is an inverse of x, then xy and yx are both idempotents but are not always equal. A semigroup S is termed recurrent( or almost pointwise periodic) at x .mem. S if and only if for any open set U about x, there is an integer p > 1 such that x$^{p}$ .mem.U.S is said to be recurrent (or almost periodic) if and only if S is recurrent at every x .mem. S. It is known that if x .mem. S is recurrent and .GAMMA.(x)=over bar {x,x$^{2}$,..,} is compact, then .GAMMA.(x) is a subgroup of S and hence x is a regular element of S.

• 대한한의학원전학회지
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• 제32권4호
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• pp.35-46
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• 2019

Objectives : While Comparative Pulse Diagnosis of Renying pulse(人迎脈) and Cunkou pulse(寸口脈) is one of the three major pulse diagnostic methods in "Huangdineijing" along with Three Positions and Nine Indicators Pulse Diagnosis(三部九候脈診法) and Cunkou Pulse Diagnosis(寸口脈診法), it has died out in later periods. This study aims to examine this lost method. Methods : Annotations of "Huangdineijing" were examined along with descriptions of the author's own experience. Results & Conclusions : Renying is the Renying(人迎) point from the Stomach Channel(ST), while Cunkou is the Taiyuan(太淵) point from the Lung Channel(LU). These two points are compared in order to determine the deficiency and excess of the Zangfu(臟腑). Normal pulses(平脈) are Soft(軟脈) or Moderate(緩脈), while Stirred pulses(躁脈) are Stringy(弦脈), Tight(緊脈), Slippery(滑脈) or Long(長脈). If the Renying is once active where Shaoyang pulse is active, purge the Gallbladder and supplement the Liver. If there is Stirred pulse, purge the Triple Burner and supplement the Pericardium. If the Renying is twice active where Taiyang pulse is active, purge the Bladder and supplement the Kidney. If there is Stirred pulse, purge the Small Intestine and supplement the Heart. If the Renying is three times active, where Yangming pulse is active, purge the Stomach and supplement the Spleen. If there is Stirred pulse, purge the Large Intestine and supplement the Lung. If the Cunkou is once active where the Jueyin pulse is active, purge the Liver and supplement the Gallbladder. If there is Stirred pulse, purge the Pericardium and supplement the Triple Energizer. If the Cunkou is twice active where the Shaoyin pulse is active, purge the Kidney and supplement the Bladder. If there is stirred pulse, purge the Heart and supplement the Small Intestine. If the Cunkou is three times active where the Taiyin pulse is active, purge the Stomach and supplement the Spleen. If there is Stirred pulse, purge the Lung and supplement the Large Intestine.