• 제목/요약/키워드: M-sequences in dimension > k

검색결과 7건 처리시간 0.019초

ON FINITENESS PROPERTIES ON ASSOCIATED PRIMES OF LOCAL COHOMOLOGY MODULES AND EXT-MODULES

  • Chu, Lizhong;Wang, Xian
    • 대한수학회지
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    • 제51권2호
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    • pp.239-250
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    • 2014
  • Let R be a commutative Noetherian (not necessarily local) ring, I an ideal of R and M a finitely generated R-module. In this paper, by computing the local cohomology modules and Ext-modules via the injective resolution of M, we proved that, if for an integer t > 0, dim$_RH_I^i(M){\leq}k$ for ${\forall}i$ < t, then $$\displaystyle\bigcup_{i=0}^{j}(Ass_RH_I^i(M))_{{\geq}k}=\displaystyle\bigcup_{i=0}^{j}(Ass_RExt_R^i(R/I^n,M))_{{\geq}k}$$ for ${\forall}j{\leq}t$ and ${\forall}n$ >0. This shows that${\bigcup}_{n>0}(Ass_RExt_R^i(R/I^n,M))_{{\geq}k}$ is a finite set for ${\forall}i{\leq}t$. Also, we prove that $\displaystyle\bigcup_{i=1}^{r}(Ass_RM/(x_1^{n_1},x_2^{n_2},{\ldots},x_i^{n_i})M)_{{\geq}k}=\displaystyle\bigcup_{i=1}^{r}(Ass_RM/(x_1,x_2,{\ldots},x_i)M)_{{\geq}k}$ if $x_1,x_2,{\ldots},x_r$ is M-sequences in dimension > k and $n_1,n_2,{\ldots},n_r$ are some positive integers. Here, for a subset T of Spec(R), set $T_{{\geq}i}=\{{p{\in}T{\mid}dimR/p{\geq}i}\}$.

GMW 부호 (GMW CODES)

  • 노종선
    • 한국통신학회논문지
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    • 제18권8호
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    • pp.1128-1135
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    • 1993
  • 본논문에서는 GMW시퀸스 g(t) = tr((trk(a))r)와 그의 순회 천이 시\ulcorner스에의해서 발생되는 GMW부호라는 새로운 이진순회부호가 소개되었다. GMW부호의 부호깊이는 2k-1인데 여기서 k는 복합정수 e.j이다. GMW부호의 차원은 k.(k/J)w-1인데, 여기서 w는 r의 해밍무게이다. 디자인 거리, 최소거리, 그리고 부호의 무게가 GMW시퀸스의 변수에의해 유도되었다. 그리고 GMW시퀸스의 확장이 m시퀸스와 그의 순회 천이 시퀸스들의 견지에서 유도되었고. GMW시퀸스의 특성 다항식이 유도되었다.

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Comparison Study of Image Performance with Contrast Agent Contents for Brain Magnetic Resonance Imaging

  • Lee, Youngjin;Choi, Min Hyeok;Goh, Hee Jin;Han, Dong-Kyoon
    • Journal of Magnetics
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    • 제21권2호
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    • pp.281-285
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    • 2016
  • The purpose of study was to evaluate SNR and CNR with different contrast agent contents (1.0 mmol/mL gadobutrol and 0.5 mmol/mL gadoterate meglumine) for spin echo (SE) and 3-dimension contrast-enhanced fast field echo (3D CE-FFE) pulse sequences. In this study, we compared the SNR and the CNR between 0.5 mmol/mL gadoterate meglumine and 1.0 mmol/mL gadobutrol according to the concentration of contrast agent in brain MRI. When we compared between SE and 3D CE-FFE pulse sequences, the higher SNR and CNR using 3D CE-FFE pulse sequence can be acquire regardless of contrast agent contents. Also, a statistically significant difference was found for SNR and CNR between all protocols. In conclusion, our results demonstrated that the SNR and CNR have not risen proportionately with contrast agent contents. We hope that these results presented in this paper will contribute to decide contrast agent contents for brain MRI.

COHEN-MACAULAY MODULES OVER NOETHERIAN LOCAL RINGS

  • Bahmanpour, Kamal
    • 대한수학회보
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    • 제51권2호
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    • pp.373-386
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    • 2014
  • Let (R,m) be a commutative Noetherian local ring. In this paper we show that a finitely generated R-module M of dimension d is Cohen-Macaulay if and only if there exists a proper ideal I of R such that depth($M/I^nM$) = d for $n{\gg}0$. Also we show that, if dim(R) = d and $I_1{\subset}\;{\cdots}\;{\subset}I_n$ is a chain of ideals of R such that $R/I_k$ is maximal Cohen-Macaulay for all k, then $n{\leq}{\ell}_R(R/(a_1,{\ldots},a_d)R)$ for every system of parameters $a1,{\ldots},a_d$ of R. Also, in the case where dim(R) = 2, we prove that the ideal transform $D_m(R/p)$ is minimax balanced big Cohen-Macaulay, for every $p{\in}Assh_R$(R), and we give some equivalent conditions for this ideal transform being maximal Cohen-Macaulay.

Analysis of the residual strengths and failure mechanisms in laminated composites under impact loading

  • Park, K.C.;Kim, M.S.
    • 한국정밀공학회지
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    • 제11권3호
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    • pp.105-121
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    • 1994
  • In this paper, we proposed the two-parameter model for predicting the residual strength in CFRP laminated composites subjected to high velocity impact and developed and formulated it based upon Cparino's by using the ratio of impact and the normalized residual strength. Critical indentation was obtained by the statical indentation tests. Impact tests were carried out through air-gun type impact equipment with the velocities varied 30-100m/sec. Projectiles were steel balls with 5 and 7mm in diameter. Test material was carbon/epoxy. The specimens were composed of [ .+-. 45 .deg. /0 .deg. /90 .deg. ]$\_$2/ and [ .+-. 45 .deg. ]$\_$4/stacking sequences and had 0.75$\^$T/*0.26$\^$W/*100$\^$L/(mm) dimension. Results from the proposed model were in good agreement with the test data. And failure mechanism due to high velocity impact is given here to examine the initation and deveolpment of damage by fractography and ultrasonic image system. The effects of the 0 .deg. -direction ply position and the amount to damage area on the residual strength are considered here.

Gated Recurrent Unit Architecture for Context-Aware Recommendations with improved Similarity Measures

  • Kala, K.U.;Nandhini, M.
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제14권2호
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    • pp.538-561
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    • 2020
  • Recommender Systems (RecSys) have a major role in e-commerce for recommending products, which they may like for every user and thus improve their business aspects. Although many types of RecSyss are there in the research field, the state of the art RecSys has focused on finding the user similarity based on sequence (e.g. purchase history, movie-watching history) analyzing and prediction techniques like Recurrent Neural Network in Deep learning. That is RecSys has considered as a sequence prediction problem. However, evaluation of similarities among the customers is challenging while considering temporal aspects, context and multi-component ratings of the item-records in the customer sequences. For addressing this issue, we are proposing a Deep Learning based model which learns customer similarity directly from the sequence to sequence similarity as well as item to item similarity by considering all features of the item, contexts, and rating components using Dynamic Temporal Warping(DTW) distance measure for dynamic temporal matching and 2D-GRU (Two Dimensional-Gated Recurrent Unit) architecture. This will overcome the limitation of non-linearity in the time dimension while measuring the similarity, and the find patterns more accurately and speedily from temporal and spatial contexts. Experiment on the real world movie data set LDOS-CoMoDa demonstrates the efficacy and promising utility of the proposed personalized RecSys architecture.

한반도 서부대륙붕에 발달한 사퇴의 발생기원과 특성 (Origin and Characteristics of Sand Ridges in the western Continental Shelf of Korean Peninsula)

  • 방효기;이차원
    • 한국해양학회지
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    • 제29권3호
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    • pp.217-227
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    • 1994
  • 한반도 서부대륙붕은 북동.남서방향의 불연속적인 사퇴가 잘 발달되어 있다. 사 퇴의 규모는 높이 3~21 m, 파장 3.1~6.8 km, 길이 9~64 km이며 경사도는 0.5이다. 이러한 사퇴들은 해수면상승에 따른 수심변화와 조류의 세기변화로 인하여 형성되고 변형 되어지는 것으로 해석된다. 사퇴의 특징은 다음과 같다. (1)사퇴의 발달이 조류 방향과 대체로 일치하는 북동-남서방향으로 발달하고 있다. (2) 사퇴의 내부는 3.5kHz 탄성파단면도와 주상퇴적물에 의해 두 개의 층(sequence)으로 구분된다. 상부층은 내 부 반사면이 없는 확산(prolonged type)된 음향상이 나타나며, 균질(massive)의 세립 사(Mx, 2-3$\psi$)로 구성되어 있다. 그 하부층은 수평내부반사(parallel internal reflector) 음향상이 나타나며, 엽리구조(kaminated structure)가 발달한 사질니 또는 니질사(Mz, 5-7$\psi$)로 구성되어 있다. 수평한 내부반사면은 사퇴의 양쪽 경사면에서 절 단(truncation)된 모습을 보이고 있다. (3) 비대칭형(asymmetrical type)의 모래파가 사퇴를 덮고 있다. 모래파의 급경사면이 사퇴의 서측은 동북동, 동측은 서남서방향을 향하고 있다. 반면, 사퇴의 정부는 대칭형(symmetrical type)의 모래파가 분포한다. 이러한 특징을 가진 사퇴의 기원은 하부퇴적층이 강한 조류에 의해 침식(scouring)되 어 등성이와 같은 지형을 형성하고, 침식되고 남은 조립질의 잔류퇴적물이 등성이의 상부를 피복하여 형성된 것으로 해석된다.

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