• 제목/요약/키워드: decomposable

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LOCAL SPECTRAL PROPERTIES OF QUASI-DECOMPOSABLE OPERATORS

  • Yoo, Jong-Kwang;Oh, Heung Joon
    • 충청수학회지
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    • 제29권4호
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    • pp.543-552
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    • 2016
  • In this paper we investigate the local spectral properties of quasidecomposable operators. We show that if $T{\in}L(X)$ is quasi-decomposable, then T has the weak-SDP and ${\sigma}_{loc}(T)={\sigma}(T)$. Also, we show that the quasi-decomposability is preserved under commuting quasi-nilpotent perturbations. Moreover, we show that if $f:U{\rightarrow}{\mathbb{C}}$ is an analytic and injective on an open neighborhood U of ${\sigma}(T)$, then $T{\in}L(X)$ is quasi-decomposable if and only if f(T) is quasi-decomposable. Finally, if $T{\in}L(X)$ and $S{\in}L(Y)$ are asymptotically similar, then T is quasi-decomposable if and only if S does.

SPECTRA OF ASYMPTOTICALLY QUASISIMILAR SUBDECOMPOSABLE OPERATORS

  • Yoo, Jong-Kwang;Han, Hyuk
    • 충청수학회지
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    • 제22권2호
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    • pp.271-279
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    • 2009
  • In this paper, we prove that asymptotically quasisimilar sub-decomposable operators have equal spectra and quasisimilar decomposable operators have equal spectra. Moreover, every subscalar operator is admissible.

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Decomposable right half smash product spaces

  • Yoon, Yeon-Soo;Yu, Jung-Ok
    • 대한수학회논문집
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    • 제11권1호
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    • pp.225-233
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    • 1996
  • It is shown that for any space A, the cofibration X \to X \Join \sumA \to \sumA \wedge X$ decomposable when X is a co-T-space. It is also obtain necessary and sufficient conditions for the cofibration $X \to X \Join A \to A \wedge X$ is trivial, in the sense of cofibre homotopy type.

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ON DECOMPOSABILITY OF FINITE GROUPS

  • Arhrafi, Ali-Reza
    • 대한수학회지
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    • 제41권3호
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    • pp.479-487
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    • 2004
  • Let G be a finite group and N be a normal subgroup of G. We denote by ncc(N) the number of conjugacy classes of N in G and N is called n-decomposable, if ncc(N) = n. Set $K_{G}\;=\;\{ncc(N)$\mid$N{\lhd}G\}$. Let X be a non-empty subset of positive integers. A group G is called X-decomposable, if KG = X. In this paper we characterise the {1, 3, 4}-decomposable finite non-perfect groups. We prove that such a group is isomorphic to Small Group (36, 9), the $9^{th}$ group of order 36 in the small group library of GAP, a metabelian group of order $2^n{2{\frac{n-1}{2}}\;-\;1)$, in which n is odd positive integer and $2{\frac{n-1}{2}}\;-\;1$ is a Mersenne prime or a metabelian group of order $2^n(2{\frac{n}{3}}\;-\;1)$, where 3$\mid$n and $2\frac{n}{3}\;-\;1$ is a Mersenne prime. Moreover, we calculate the set $K_{G}$, for some finite group G.

Alleviating Effect of the Application of the Easily Decomposable Carbohydrate on Ammonium Toxicity in Chinese Cabbage (Brassica rapa var. chinensis)

  • Ku, Hyun-Hwoi;Lee, Sang-Eun
    • 한국토양비료학회지
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    • 제48권5호
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    • pp.451-455
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    • 2015
  • An excess application of N fertilizer causes physiological and morphological disorder known as ammonium ($NH_4{^+}$) toxicity in Chinese cabbage and it has been to be an issue for appropriate N fertilizer management. Hence, the pot experiment was conducted in order to evaluate the alleviating effect of the application of the easily decomposable carbohydrate on $NH_4{^+}$ toxicity in Chinese cabbage. Four levels of urea at 0, 160, 320, and $640kg\;N\;ha^{-1}$, represented as T1, T2, T3, and T4, respectively, were applied. In order to evaluate the alleviating effect of the application of the easily decomposable carbohydrate (sucrose) at T3 and T4 where $NH_4{^+}$ toxicity had occurred, five levels of sucrose were applied to meet C/N ratios of 0, 2, 4, 6, and 10, respectively. Our results showed that the $NH_4{^+}$ toxicity was observed at T3 and T4 at 5 days after treatment (DAT). $NH_4{^+}$ toxicity contributed to decrease fresh weight, length of leaves, length of root, and number of leaves significantly (p<0.05). The application of sucrose as a source of mitigating $NH_4{^+}$ toxicity had a good performance at T3 with the alleviating effect as 73 % and reduced in $NH_4{^+}-N$ content in soil at 29 DAT. In the maximum N rate of T4, however, sucrose application recovered it as 32 % only compared to T2 even though the same C/N ratio was treated. Consequently, sucrose as the easily decomposable carbohydrate played crucial role to reduce $NH_4{^+}$ concentration in soil and finally alleviated $NH_4{^+}$ toxicity in plant.

H-V -SUPER MAGIC DECOMPOSITION OF COMPLETE BIPARTITE GRAPHS

  • KUMAR, SOLOMON STALIN;MARIMUTHU, GURUSAMY THEVAR
    • 대한수학회논문집
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    • 제30권3호
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    • pp.313-325
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    • 2015
  • An H-magic labeling in a H-decomposable graph G is a bijection $f:V(G){\cup}E(G){\rightarrow}\{1,2,{\cdots},p+q\}$ such that for every copy H in the decomposition, $\sum{_{{\upsilon}{\in}V(H)}}\;f(v)+\sum{_{e{\in}E(H)}}\;f(e)$ is constant. f is said to be H-V -super magic if f(V(G))={1,2,...,p}. In this paper, we prove that complete bipartite graphs $K_{n,n}$ are H-V -super magic decomposable where $$H{\sim_=}K_{1,n}$$ with $n{\geq}1$.

한국어 숙어의 유형과 처리 방법: 제약기반이론적 접근 (Processing Idiomatic Expressions in Korean)

  • 정찬;김종복
    • 인지과학
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    • 제18권4호
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    • pp.417-444
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    • 2007
  • 일반 숙어들의 구성요소들은 통사적 현상에 적용을 받지 않을 뿐만 아니라, 의미적 합성성원리를 지키지 않는다. 그러나 이러한 숙어들과는 달리 숙어의 구성 소들이 형태, 통사적 현상에 의해 영향을 받거나 의미적 합성 과정을 거치는 숙어들도 존재한다. 본 논문은 한국어에서 이러한 두 가지 유형의 숙어들을 파악하고, 이들의 속성을 살펴본다. 이러한 경험적 연구를 바탕으로, 이들 구문들을 처리할 수 있는 제약기반이론적 분석을 제공한다.

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