• 제목/요약/키워드: [*]-operation on D[X]

검색결과 118건 처리시간 0.027초

The *-Nagata Ring of almost Prüfer *-multiplication Domains

  • Lim, Jung Wook
    • 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.

A Note on S-Noetherian Domains

  • LIM, JUNG WOOK
    • 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.

A NEW CHARACTERIZATION OF PRÜFER v-MULTIPLICATION DOMAINS

  • CHANG, GYU WHAN
    • Korean Journal of Mathematics
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    • 제23권4호
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    • pp.631-636
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    • 2015
  • Let D be an integral domain and w be the so-called w-operation on D. In this note, we introduce the notion of *(w)-domains: D is a *(w)-domain if $(({\cap}(x_i))({\cap}(y_j)))_w={\cap}(x_iy_j)$ for all nonzero elements $x_1,{\ldots},x_m$; $y_1,{\ldots},y_n$ of D. We then show that D is a $Pr{\ddot{u}}fer$ v-multiplication domain if and only if D is a *(w)-domain and $A^{-1}$ is of finite type for all nonzero finitely generated fractional ideals A of D.

웹 기반 3D 패션몰을 위한 의복 시뮬레이션 시스템 (Cloth Simulation System for 3D Fashion shopping mall based on Web)

  • 김주리;정석태;정성태
    • 한국정보통신학회논문지
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    • 제13권5호
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    • pp.877-886
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    • 2009
  • 본 논문은 웹 기반 3D 패션몰을 위한 의복 시뮬레이션 시스템의 설계 기법 및 구현 방법에 대해 제한한다. 웹 3D 패션몰은 마우스 조작이 쉬운 Web3D 저작툴인 ISB로 구현하였고, 3D 인체 모델과 의상 아이템 모델은 3D MAX를 이용하여 로폴리곤 모델링으로 제작하였고, 생성된 3D 인체 모델과 의상 아이템 모델을 XML 형식으로 출력시켜 저장한 후, Direct3D를 이용하여 제작된 ActiveX 컨트롤을 사용하여 웹상에서 3D 인체 모델과 의상 아이템 모델의 정합과 애니메이션을 구현하였다. 또한 텍스타일 팔레트를 제작하여 의상 아이템 모델에 맵핑하는 과정을 알파블 렌딩 기법을 적용하여 구현하였다.

A NOTE ON MULTIPLIERS OF AC-ALGEBRAS

  • Lee, Yong Hoon
    • 충청수학회지
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    • 제30권4호
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    • pp.357-367
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    • 2017
  • In this paper, we introduce the notion of multiplier of AC-algebra and consider the properties of multipliers in AC-algebras. Also, we characterized the fixed set $Fix_d(X)$ by multipliers. Moreover, we prove that M(X), the collection of all multipliers of AC-algebras, form a semigroup under certain binary operation.

3차원 의상 설계 시뮬레이션에 관한 연구 (A Stduy of Design and Simulation for 3Dimension Fashion)

  • 김주리;이현창
    • 한국컴퓨터정보학회:학술대회논문집
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    • 한국컴퓨터정보학회 2010년도 제42차 하계학술발표논문집 18권2호
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    • pp.23-26
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    • 2010
  • 본 논문은 웹 기반 3D 패션몰 설계 기법 및 구현 방법에 대해 제한한다. 웹 3D 패션몰은 마우스 조작이 쉬운 Web3D 저작툴인 ISB로 구현하였고, 3D 인체 모델과 의상 아이템 모델은 3D MAX를 이용하여 로폴리곤 모델링으로 제작하였고, 생성된 3D 인체 모델과 의상 아이템 모델을 XML 형식으로 출력시켜 저장한 후, Direct3D를 이용하여 제작된 ActiveX 컨트롤을 사용하여 웹상에서 3D 인체 모델과 의상 아이템 모델의 정합과 애니메이션을 구현하였다. 또한 텍스타일 팔레트를 제작하여 의상 아이템 모델에 맵핑하는 과정을 알파블렌딩 기법을 적용하여 구현하였다.

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A SIMPLE PROOF OF HILBERT BASIS THEOREM FOR *ω-NOETHERIAN DOMAINS

  • Lim, Jung Wook;Oh, Dong Yeol
    • Korean Journal of Mathematics
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    • 제21권2호
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    • pp.197-201
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    • 2013
  • Let D be an integral domain with quotient field K, * a star-operation on D, $GV^*(D)$ the set of nonzero finitely generated ideals J of D such that $J_*=D$, and $*_{\omega}$ a star-operation on D defined by $I_{*_{\omega}}=\{x{\in}K{\mid}Jx{\subseteq}I\;for\;some\;J{\in}GV^*(D)\}$ for all nonzero fractional ideals I of D. In this article, we give a simple proof of Hilbert basis theorem for $*_{\omega}$-Noetherian domains.

연속된 데이터의 퍼지학습에 의한 비정상 시계열 예측 (Predicting Nonstationary Time Series with Fuzzy Learning Based on Consecutive Data)

  • 김인택
    • 대한전기학회논문지:시스템및제어부문D
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    • 제50권5호
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    • pp.233-240
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    • 2001
  • This paper presents a time series prediction method using a fuzzy rule-based system. Extracting fuzzy rules by performing a simple one-pass operation on the training data is quite attractive because it is easy to understand, verify, and extend. The simplest method is probably to relate an estimate, x(n+k), with past data such as x(n), x(n-1), ..x(n-m), where k and m are prefixed positive integers. The relation is represented by fuzzy if-then rules, where the past data stand for premise part and the predicted value for consequence part. However, a serious problem of the method is that it cannot handle nonstationary data whose long-term mean is varying. To cope with this, a new training method is proposed, which utilizes the difference of consecutive data in a time series. In this paper, typical previous works relating time series prediction are briefly surveyed and a new method is proposed to overcome the difficulty of prediction nonstationary data. Finally, computer simulations are illustrated to show the improved results for various time series.

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1-D PE 어레이로 컨볼루션 연산을 수행하는 저전력 DCNN 가속기 (Power-Efficient DCNN Accelerator Mapping Convolutional Operation with 1-D PE Array)

  • 이정혁;한상욱;최승원
    • 디지털산업정보학회논문지
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    • 제18권2호
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    • pp.17-26
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    • 2022
  • In this paper, we propose a novel method of performing convolutional operations on a 2-D Processing Element(PE) array. The conventional method [1] of mapping the convolutional operation using the 2-D PE array lacks flexibility and provides low utilization of PEs. However, by mapping a convolutional operation from a 2-D PE array to a 1-D PE array, the proposed method can increase the number and utilization of active PEs. Consequently, the throughput of the proposed Deep Convolutional Neural Network(DCNN) accelerator can be increased significantly. Furthermore, the power consumption for the transmission of weights between PEs can be saved. Based on the simulation results, the performance of the proposed method provides approximately 4.55%, 13.7%, and 2.27% throughput gains for each of the convolutional layers of AlexNet, VGG16, and ResNet50 using the DCNN accelerator with a (weights size) x (output data size) 2-D PE array compared to the conventional method. Additionally the proposed method provides approximately 63.21%, 52.46%, and 39.23% power savings.

ON CHARACTERIZATIONS OF PRÜFER v-MULTIPLICATION DOMAINS

  • Chang, Gyu Whan
    • Korean Journal of Mathematics
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    • 제18권4호
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    • pp.335-342
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    • 2010
  • Let D be an integral domain with quotient field K,$\mathcal{I}(D)$ be the set of nonzero ideals of D, and $w$ be the star-operation on D defined by $I_w=\{x{\in}K{\mid}xJ{\subseteq}I$ for some $J{\in}\mathcal{I}(D)$ such that J is finitely generated and $J^{-1}=D\}$. The D is called a Pr$\ddot{u}$fer $v$-multiplication domain if $(II^{-1})_w=D$ for all nonzero finitely generated ideals I of D. In this paper, we show that D is a Pr$\ddot{u}$fer $v$-multiplication domain if and only if $(A{\cap}(B+C))_w=((A{\cap}B)+(A{\cap}C))_w$ for all $A,B,C{\in}\mathcal{I}(D)$, if and only if $(A(B{\cap}C))_w=(AB{\cap}AC)_w$ for all $A,B,C{\in}\mathcal{I}(D)$, if and only if $((A+B)(A{\cap}B))_w=(AB)_w$ for all $A,B{\in}\mathcal{I}(D)$, if and only if $((A+B):C)_w=((A:C)+(B:C))_w$ for all $A,B,C{\in}\mathcal{I}(D)$ with C finitely generated, if and only if $((a:b)+(b:a))_w=D$ for all nonzero $a,b{\in}D$, if and only if $(A:(B{\cap}C))_w=((A:B)+(A:C))_w$ for all $A,B,C{\in}\mathcal{I}(D)$ with B, C finitely generated.