• 대한수학회보
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• 제54권1호
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• pp.99-124
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• 2017

The structure theorems [3, 6, 21] for the classes of perfect ideals of grade 3 have been generalized to the structure theorems for the classes of perfect ideals linked to almost complete intersections of grade 3 by a regular sequence [15]. In this paper we obtain structure theorems for two classes of Gorenstein ideals of grade 4 expressed as the sum of a perfect ideal of grade 3 (except a Gorenstein ideal of grade 3) and an almost complete intersection of grade 3 which are geometrically linked by a regular sequence.

• 한국통신학회논문지
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• 제27권8A호
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• pp.733-738
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• 2002

ZCZ(Zero Cross-correlation Zone) 부호(code)는 다중 사용자 CDMA 시스템에서 낮은 상관 영역(low correlation zone) 제공하고 상호 채널간섭(co-channel interference)을 제거하는 좋은 성능을 보이고 있다. 본 논문에서는 복소 확산기술(complex spreading scheme)을 이용해 이와 같은 상관관계의 성질을 갖는 확산 부호설계(spreading code design)를 분석하고 그들의 효율성을 이동통신시스템에 적용한다. 또한 자켓 다위상 비트열(Jacket polyphase sequence)을 예로 들어 개선된 성능과 일반 성질을 제시했다.

• Journal of Information Processing Systems
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• 제19권1호
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• pp.1-16
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• 2023

Synthetic data generation is generally used in performance evaluation and function tests in data-intensive applications, as well as in various areas of data analytics, such as privacy-preserving data publishing (PPDP) and statistical disclosure limit/control. A significant amount of research has been conducted on tools and languages for data generation. However, existing tools and languages have been developed for specific purposes and are unsuitable for other domains. In this article, we propose a regular expression-based data generation language (DGL) for flexible big data generation. To achieve a general-purpose and powerful DGL, we enhanced the standard regular expressions to support the data domain, type/format inference, sequence and random generation, probability distributions, and resource reference. To efficiently implement the proposed language, we propose caching techniques for both the intermediate and database queries. We evaluated the proposed improvement experimentally.

• 대한수학회지
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• 제60권3호
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• pp.521-536
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• 2023

Let R be a commutative ring with identity and S a multiplicative subset of R. In this paper, we introduce and study the notions of u-S-pure u-S-exact sequences and uniformly S-absolutely pure modules which extend the classical notions of pure exact sequences and absolutely pure modules. And then we characterize uniformly S-von Neumann regular rings and uniformly S-Noetherian rings using uniformly S-absolutely pure modules.

• 한국멀티미디어학회논문지
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• 제3권3호
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• pp.298-308
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• 2000

본 논문에서는 고정된 평면에 대한 움직이는 정규 다면체의 가까운 점들을 효과적으로 찾는 알고리즘을 제안한다. 본 알고리즘은 문제를 효율적으로 해결 위하여 다면체의 각 면에서 정의되는 단위 법선 벡터들에 의해 구성되는 구면 보로노이 다이아그램을 이용한다. 일반적인 보로노이 다이아그램이 O(nlogn) 시간에 구성되는 것에 반하여 여기에 사용되는 구면 보로노이 다이아그램은 O(n)에 구할 수 있음을 보인다. 이를 본 문제에 적용하면 구면 위치 파악 문제로 전환할 수 있다. 따라서, 주어진 시점에서의 근점은 O(logn) 시간에 구할 수 있고, 다면체의 움직임에 따라 변하는 근점들의 리스트는 (equation omitted) 시간에 구할 수 있다. 이때, m$^{j}$ $_{k}$ (1$\leq$j$\leq$s)는 질의점이 지나는 구면 보로노이 다이아그램의 영역 sreg(equation omitted)의 선분의 개수이다. 본 논문에서 제안한 알고리즘은 컴퓨터 애니메이션과 로보틱스 분야에서 충돌지점을 찾는 문제에 효과적으로 사용될 수 있다.

• Macromolecular Research
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• 제10권1호
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• pp.44-48
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• 2002

The supermolecular structures of poly(ethylene terephthalate) (PET), poly(ethylene 2,6-naphthalate) (PEN), and their blend were investigated with optical microscopy and small angle light scattering. With increasing the crystallization temperature, incomplete spherulitic texture was developed for the PET samples. At a high crystallization temperature of 220 $^{\circ}C$, the light scattering pattern represented a random collection of uncorrelated lamellae. The general morphological appearances for the PEN samples were similar to that of the PET. A notable feature was that the spherulites of the PEN formed at 200 $^{\circ}C$ showed regular concentric bands arising from a regular twist in the radiating lamellae. The spherulitic morphology of the PET/PEN blend was largely influenced by the changes of the sequence distribution in polymer chains determined by the level of transesterifcation. The increased sequential irregularity in the polymer chains via transesterification caused a morphological transition from a regular folded crystallite to a tilted lamellar crystallite.

• 대한한의학원전학회지
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• 제20권4호
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• pp.119-126
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• 2007

The biological and pathological states of lung, spleen, liver and kidneys are determined by nature and emotion of sorrow, anger, joy and pleasure, It is considered that the music, besides medicine or acupuncture, can be a way of treating as a therapeutics for the treatment of Sasangin's diseases. This study is to find out a way of music therapy for the treatment of Sasangin's diseases. The ways of music therapy in each constitution based on 'the great and small of Viscera and Bowels' and 'the exhale and inhale, the drawing in and sending out' are as follows: 1. In case of Soeumin, a skip going up melodic progression, dotted rhythm and the major triad harmonic progression are recommended to improve the Qi of warm Yang. 2. In case of Soyangin, in regular sequence down melodic progression, a sixteenth note and the minor triad harmonic progression are recommended to improve the Qi of cool Yin. 3. In case of Taeumin, in regular sequence going up melodic progression, a sixteenth note and the bright and active the major triad harmonic progression are recommended to improve the Qi of dispersing exhale. 4. In case of Taeyangin, a skip down melodic progression, a quarter note and a diminished triad harmonic progression are recommended to improve the Qi of gathering inhale.

• 대한수학회지
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• 제45권5호
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• pp.1393-1404
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• 2008

Let K be a nonempty closed convex subset of a Banach space E. Suppose $\{T_{n}\}$ (n = 1,2,...) is a uniformly asymptotically regular sequence of nonexpansive mappings from K to K such that ${\cap}_{n=1}^{\infty}$ F$\(T_n){\neq}{\phi}$. For $x_0{\in}K$, define $x_{n+1}={\lambda}_{n+1}x_{n}+(1-{\lambda}_{n+1})T_{n+1}x_{n},n{\geq}0$. If ${\lambda}_n{\subset}[0,1]$ satisfies $lim_{n{\rightarrow}{\infty}}{\lambda}_n=0$, we proved that $\{x_n\}$ weakly converges to some $z{\in}F\;as\;n{\rightarrow}{\infty}$ in the framework of reflexive Banach space E which satisfies the Opial's condition or has $Fr{\acute{e}}chet$ differentiable norm or its dual $E^*$ has the Kadec-Klee property. We also obtain that $\{x_n\}$ strongly converges to some $z{\in}F$ in Banach space E if K is a compact subset of E or there exists one map $T{\in}\{T_{n};n=1,2,...\}$ satisfy some compact conditions such as T is semi compact or satisfy Condition A or $lim_{n{\rightarrow}{\infty}}d(x_{n},F(T))=0$ and so on.

• Korean Journal of Mathematics
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• 제29권1호
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• pp.25-40
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• 2021

In this article we introduce tribonacci sequence spaces c0(T) and c(T) derived by the domain of a newly defined regular tribonacci matrix T. We give some topological properties, inclusion relations, obtain the Schauder basis and determine ��-, ��- and ��- duals of the spaces c0(T) and c(T). We characterize certain matrix classes (c0(T), Y) and (c(T), Y), where Y is any of the spaces c0, c or ℓ∞. Finally, using Hausdorff measure of non-compactness we characterize certain class of compact operators on the space c0(T).

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제9권1호
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• pp.169-189
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• 2015

Detection of anomalous events from video streams is a challenging problem in many video surveillance applications. One such application that has received significant attention from the computer vision community is traffic video surveillance. In this paper, a Lossy Count based Sequential Temporal Pattern mining approach (LC-STP) is proposed for detecting spatio-temporal abnormal events (such as a traffic violation at junction) from sequences of video streams. The proposed approach relies mainly on spatial abstractions of each object, mining frequent temporal patterns in a sequence of video frames to form a regular temporal pattern. In order to detect each object in every frame, the input video is first pre-processed by applying Gaussian Mixture Models. After the detection of foreground objects, the tracking is carried out using block motion estimation by the three-step search method. The primitive events of the object are represented by assigning spatial and temporal symbols corresponding to their location and time information. These primitive events are analyzed to form a temporal pattern in a sequence of video frames, representing temporal relation between various object's primitive events. This is repeated for each window of sequences, and the support for temporal sequence is obtained based on LC-STP to discover regular patterns of normal events. Events deviating from these patterns are identified as anomalies. Unlike the traditional frequent item set mining methods, the proposed method generates maximal frequent patterns without candidate generation. Furthermore, experimental results show that the proposed method performs well and can detect video anomalies in real traffic video data.