• Title/Summary/Keyword: weak normality

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Weak Convergence of U-empirical Processes for Two Sample Case with Applications

  • Park, Hyo-Il;Na, Jong-Hwa
    • Journal of the Korean Statistical Society
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    • v.31 no.1
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    • pp.109-120
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    • 2002
  • In this paper, we show the weak convergence of U-empirical processes for two sample problem. We use the result to show the asymptotic normality for the generalized dodges-Lehmann estimates with the Bahadur representation for quantifies of U-empirical distributions. Also we consider the asymptotic normality for the test statistics in a simple way.

WEAK NORMAL PROPERTIES OF PARTIAL ISOMETRIES

  • Liu, Ting;Men, Yanying;Zhu, Sen
    • Journal of the Korean Mathematical Society
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    • v.56 no.6
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    • pp.1489-1502
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    • 2019
  • This paper describes when a partial isometry satisfies several weak normal properties. Topics treated include quasi-normality, subnormality, hyponormality, p-hyponormality (p > 0), w-hyponormality, paranormality, normaloidity, spectraloidity, the von Neumann property and Weyl's theorem.

Weak Normality and Strong t-closedness of Generalized Power Series Rings

  • Kim, Hwan-Koo;Kwon, Eun-Ok;Kwon, Tae-In
    • Kyungpook Mathematical Journal
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    • v.48 no.3
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    • pp.443-455
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    • 2008
  • For an extension $A\;{\subseteq}\;B$ of commutative rings, we present a sufficient conditio for the ring $[[A^{S,\;\leq}]]$ of generalized power series to be weakly normal (resp., stronglyt-closed) in $[[B^{S,\;\leq}]]$, where (S, $\leq$) be a torsion-free cancellative strictly ordered monoid. As a corollary, it can be applied to the ring of power series in infinitely many indeterminates as well as in finite indeterminates.

THE WEAK F-REGULARITY OF COHEN-MACAULAY LOCAL RINGS

  • Cho, Y.H.;Moon, M.I.
    • Bulletin of the Korean Mathematical Society
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    • v.28 no.2
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    • pp.175-180
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    • 1991
  • In [3], [4] and [5], Hochster and Huneke introduced the notions of the tight closure of an ideal and of the weak F-regularity of a ring. This notion enabled us to give new proofs of many results in commutative algebra. A regular ring is known to be F-regular, and a Gorenstein local ring is proved to be F-regular provided that one ideal generated by a system of parameters (briefly s.o.p.) is tightly closed. In fact, a Gorenstein local ring is weakly F-regular if and only if there exists a system of parameters ideal which is tightly closed [3]. But we do not know whether this fact is true or not if a ring is not Gorenstein, in particular, a ring is a Cohen Macaulay (briefly C-M) local ring. In this paper, we will prove this in the case of an 1-dimensional C-M local ring. For this, we study the F-rationality and the normality of the ring. And we will also prove that a C-M local ring is to be Gorenstein under some additional condition about the tight closure.

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Testing Whether New Is Better Than Used of Specified Age Using Moments Inequalities

  • Ahmad, Ibrahim A.;Al-Wasel, Ibrahim A.
    • International Journal of Reliability and Applications
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    • v.3 no.1
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    • pp.17-23
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    • 2002
  • The class of “new better than used of a specified age” is a large and practical class of life distributions. Its properties, applicability, and testing was discussed by Hollander, Park and Proschan (1986). Their test, while remaining the yardstick for this class, suffers from weak efficiency and weak power, especially for specified ages below the average age. Thus, it is beneficial to have an alternative testing procedure that would work better for early ages and still work well for later ages. This is exactly the subject of the current note. The test developed here is also simpler than that of Hollander, et. al. (1986).

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Constraining the shielded wind scenario in PG 2112+059

  • Saez, Cristian;Brandt, Niel;Bauer, Franz;Hamann, Fred;Chartas, George;Gallagher, Sarah
    • The Bulletin of The Korean Astronomical Society
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    • v.41 no.1
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    • pp.36.1-36.1
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    • 2016
  • The physical scenario describing the origin of quasar winds remains largely unsettled due to our failure to account for X-ray weak BAL quasars. We approach this problem by studying the relation between the inner part of the outflow which is likely to be shielding the X-ray emission and thereby helping to drive the UV winds characterised by broad absorption lines (BALs). In particular, we aim to probe the wind-shield connection in the highly X-ray variable BAL quasar PG 2112+059, which has exhibited periods of X-ray weakness and X-ray normality in the past. A set of two 20 ks Chandra observations and two contemporaneous HST observations, separated by at least eight months, combined with a nearly simultaneous archival Chandra-HST observation from 2002, afford us a unique opportunity to study the connection between the shield (which is thought to be responsible for the X-ray absorption) and the ionisation state of the wind (observed as UV BAL features; e.g., C IV and O VI lines) over various timescales.

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Between Monster and Hero -Characters with Supernatural Powers of Fantasy Dramas (괴물과 영웅 사이 -판타지 드라마의 초능력 인물)

  • Kim, Kyung-Min
    • Journal of Popular Narrative
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    • v.26 no.1
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    • pp.9-39
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    • 2020
  • The aim of this study is to examine how heroic characters with supernatural powers are portrayed, and what shortcomings and desires are present in the societies they are born into, with reference to television series with superheroes such as , , and out of many motifs of Korean television fantasy series. The common feature of the superheroes represented in these three dramas is that they are viewed as monsters symbolizing vigilance and alienation instead of being regarded as typical heroes that are the object of praise and admiration. All three dramas criticize the corruption and limitations of bureaucratic powers such as the judiciary, prosecution, and police. The protagonists showcase their heroics by correcting such problems and helping the weak and the victimized by using their supernatural powers. At the same time, they broach uncomfortable topics, highlight truths that some may wish to hide, and also argue the concept of 'normality' and the 'world of naturalness'. For this reason, they are treated as monsters and alienated. Despite being called upon to solve the problems in reality, the deficiencies and contradictions of our society are also revealed by them. The idea of expressing the repressed desires in reality, is similar to the attributes of fantasy in that it criticizes and overthrows reality in order to meet the desires. This study verified not only the subversive characters of fantasy, but also the limitations when such attributes were combined with the characteristics of the medium of television shows. The significance of this study is to give attention to a genre that had previously been neglected by Korean productions but is now gaining traction, and also to suggest many tasks for researching more subdivided and diversified fantasy dramas in the future.


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