• Title/Summary/Keyword: nondegenerate

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Generalized Durbin-Watson Statistics in the Nonstationary Seasonal Time Series Model

  • Cho, Sin-Sup;Kim, Byung-Soo;Park, Young J.
    • Journal of the Korean Statistical Society
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    • v.26 no.3
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    • pp.365-382
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    • 1997
  • In this paper we study the behaviors of the generalized Durbin-Watson (DW) statistics when the nonstationary seasonal time series regression model is misspecified. It is observed that when the series is seasonally integrated the generalized DW statistic for the seasonal period order autocorrelation converges in probability to zero while teh generalized DW statistic for the first order autocorrelation has nondegenerate asymptotic distribution. When the series is regularly and seasonally integrated the generalized DW for the first order autocorrelation still converges in probability to zero.

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Role of Open Channels in Overlapping Resonances Studied by Multichannel Quantum Defect Theory in Systems Involving 2 Nondegenerate Closed and Many Open Channels

  • Lee, Chun-Woo
    • Bulletin of the Korean Chemical Society
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    • v.31 no.11
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    • pp.3201-3211
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    • 2010
  • Previous work on the phase-shifted version of the multichannel quantum-defect theory (MQDT) for a system involving 2 closed and many open channels (Lee, C.-W. Bull. Korean Chem. Soc. 2010, 31, 1669) was extended to obtain the formulae of the spectral shape parameters with the structure of a pole extracted explicitly for general cases only limited by 2 non-degenerate closed channels. The theory was applied to the narrow $6p_{1/2,3/2}np$ J = 1 autoionizing Rydberg series in barium perturbed by the $6p_{3/2}nf$ states obtained by de Graaff et al.

Subcorneal pustular dermatosis in a dog (개에서 발생한 각질하 농포성 피부병 1례)

  • Park, Seong-Jun
    • Korean Journal of Veterinary Research
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    • v.53 no.2
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    • pp.125-127
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    • 2013
  • Canine Subcorneal pustular dermatosis (CSPD) represents a sterile, superficial, pustular skin disease of unknown cause but may be a variant of pemphigus foliaceus. A 7-year-old, intact female, mixed dog presented with 3-month history of pruritic multiple pustules and crusts. Direct smears from intact pustules revealed numerous nondegenerate neutrophils, some acantholytic cells, and bacterial culture was negative. Histologic examination of lesional skin showed subcorneal pustules filled with neutrophils and acantholytic cells. The direct immunofluorescence tests stained with IgG, IgA, IgM, C3 were negative. Oral administration of dapsone (1 mg/kg/q8h) was initiated and it was reduced to 1 mg/kg/q12h with good control of the lesions.

Nonlinear Optical Properties of Eosin-Doped Boric Acid Glass (Eosin을 첨가한 Boric-Acid Glass의 비선형 광학적 특성)

  • 유연석
    • Korean Journal of Optics and Photonics
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    • v.2 no.3
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    • pp.133-138
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    • 1991
  • Eosin-doped boric acid glass saturable absorber has a relatively low saturation intensity (700 mW/$\textrm{cm}^2$) and low power optical phase conjugation is achived by the degenerate four-wave mixing (DFWM) experiments. Polarization properties of optical phase conjugation by DFWM have been demonstrated in this materials using a cw argon ion laser at wavelength 488 nm. The dependence of the phase conjugated reflectivity on the intensity and wavelength of the pump beam is examined. The magnitude of the energy exchange by the nondegenerate two-wave mixing (NDTWM) is maximized by frequency difference between the two beams of $\varphi\simeq$ 1100 Hz.

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PROJECTIONS OF ALGEBRAIC VARIETIES WITH ALMOST LINEAR PRESENTATION II

  • Ahn, Jeaman
    • Journal of the Chungcheong Mathematical Society
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    • v.34 no.2
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    • pp.181-188
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    • 2021
  • Let X be a nondegenerate reduced closed subscheme in ℙn. Assume that πq : X → Y = πq(X) ⊂ ℙn-1 is a generic projection from the center q ∈ Sec(X) \ X where Sec(X) = ℙn. Let Z be the singular locus of the projection πq(X) ⊂ ℙn-1. Suppose that IX has the almost minimal presentation, which is of the form R(-3)β2,1 ⊕ R(-4) → R(-2)β1,1 → IX → 0. In this paper, we prove the followings: (a) Z is either a linear space or a quadric hypersurface in a linear subspace; (b) $H^1({\mathcal{I}_X(k)})=H^1({\mathcal{I}_Y(k)})$ for all k ∈ ℤ; (c) reg(Y) ≤ max{reg(X), 4}; (d) Y is cut out by at most quartic hypersurfaces.

SOME RATIONAL CURVES OF MAXIMAL GENUS IN ℙ3

  • Wanseok LEE;Shuailing Yang
    • East Asian mathematical journal
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    • v.40 no.1
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    • pp.75-83
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    • 2024
  • For a reduced, irreducible and nondegenerate curve C ⊂ ℙr of degree d, it was shown that the arithmetic genus g of C has an upper bound π0(d, r) by G. Castelnuovo. And he also classified the curves that attain the extremal value. These curves are arithmetically Cohen-Macaulay and contained in a surface of minimal degree. In this paper, we investigate the arithmetic genus of curves lie on a surface of minimal degree - the Veronese surface, smooth rational normal surface scrolls and singular rational normal surface scrolls. We also provide a construction of curves on singular rational normal surface scroll S(0, 2) ⊂ ℙ3 which attain the maximal arithmetic genus.

ADMISSIBILITY AND CONNECTEDNESS IM KLEINEN IN HYPERSPACES

  • Baik, Bong Shin;Rhee, Choon Jai
    • Honam Mathematical Journal
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    • v.36 no.4
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    • pp.913-919
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    • 2014
  • We investigate the relationships between the space X and the hyperspaces concerning admissibility and connectedness im kleinen. The following results are obtained: Let X be a Hausdorff continuum, and let A, $B{\in}C(X)$ with $A{\subset}B$. (1) If X is c.i.k. at A, then X is c.i.k. at B if and only if B is admissible. (2) If A is admissible and C(X) is c.i.k. at A, then for each open set U containing A there is a continuum K and a neighborhood V of A such that $V{\subset}IntK{\subset}K{\subset}U$. (3) If for each open subset U of X containing A, there is a continuum B in C(X) such that $A{\subset}B{\subset}U$ and X is c.i.k. at B, then X is c.i.k. at A. (4) If X is not c.i.k. at a point x of X, then there is an open set U containing x and there is a sequence $\{S_i\}^{\infty}_{i=1}$ of components of $\bar{U}$ such that $S_i{\longrightarrow}S$ where S is a nondegenerate continuum containing the point x and $S_i{\cap}S={\emptyset}$ for each i = 1, 2, ${\cdots}$.

Cutaneous Sterile Pyogranuloma/Granuloma Syndrome in an Old English Bulldog: Case Report

  • Yoon, Ji-Seon;Bae, Hyeona;Ahn, Soomin;Hong, Il-Hwa;Jung, Dong-In;Park, Jinho;Yu, DoHyeon
    • Journal of Veterinary Clinics
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    • v.36 no.6
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    • pp.345-348
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    • 2019
  • A four-year old, indoor-living neutered male Old English Bulldog was presented for generalized ulcerative dermatitis. Generalized alopecia and multifocal papules and ulcers with crusting were observed mainly in the dorsal trunk. Cytology of the skin lesions revealed a pyogranulomatous inflammation comprising macrophages and nondegenerate neutrophils. Histopathology also revealed a nodular dermatitis characterized by mixed infiltration of monocytes and neutrophils involving the superficial and deep dermis. Neither of bacteria nor fungus was identified in microscopic exam and culture. From those findings, a diagnosis of cutaneous sterile pyogranuloma/granuloma syndrome (SPGS) was made. Treatment with immunosuppressive drugs of prednisone and cyclosporine was performed and visible ulcerative skin lesions were resolved after 4 weeks of initiation of therapy. Treatment with combination of cyclosporine and prednisone may be effective for the case of SPGS.

Thermoelectric Properties of n-Type Half-Heusler Compounds Synthesized by the Induction Melting Method

  • Du, Nguyen Van;Lee, Soonil;Seo, Won-Seon;Dat, Nguyen Minh;Meang, Eun-Ji;Lim, Chang-Hyun;Rahman, Jamil Ur;Kim, Myong Ho
    • Transactions on Electrical and Electronic Materials
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    • v.16 no.6
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    • pp.342-345
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    • 2015
  • The n -type Hf0.25Zr0.25Ti0.5NiSn0.998Sb0.002 Half-Heusler (HH) alloy composition was prepared by using the induction melting method in addition to the mechanical grinding, annealing, and spark plasma sintering processes. Analysis of X-ray diffraction (XRD) results indicated the formation of a pure phase HH structured compound. The electrical and thermal properties at temperatures ranging from room temperature to 718 K were investigated. The electrical conductivity increased with increasing temperatures and demonstrated nondegenerate semiconducting behavior, and a large reduction in the thermal conductivity to the value of 2.5 W/mK at room temperature was observed. With the power factor and thermal conductivity, the dimensionless figure of merit was increased with temperature and measured at 0.94 at 718 K for the compound synthesized by the induction melting process.

LARGE TIME ASYMPTOTICS OF LEVY PROCESSES AND RANDOM WALKS

  • Jain, Naresh C.
    • Journal of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.583-611
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    • 1998
  • We consider a general class of real-valued Levy processes {X(t), $t\geq0$}, and obtain suitable large deviation results for the empiricals L(t, A) defined by $t^{-1}{\int^t}_01_A$(X(s)ds for t > 0 and a Borel subset A of R. These results are used to obtain the asymptotic behavior of P{Z(t) < a}, where Z(t) = $sup_{u\leqt}\midx(u)\mid$ as $t\longrightarrow\infty$, in terms of the rate function in the large deviation principle. A subclass of these processes is the Feller class: there exist nonrandom functions b(t) and a(t) > 0 such that {(X(t) - b(t))/a(t) : t > 0} is stochastically compact, i.e., each sequence has a weakly convergent subsequence with a nondegenerate limit. The stable processes are in this class, but it is much larger. We consider processes in this class for which b(t) may be taken to be zero. For any t > 0, we consider the renormalized process ${X(u\psi(t))/a(\psi(t)),u\geq0}$, where $\psi$(t) = $t(log log t)^{-1}$, and obtain large deviation probability estimates for $L_{t}(A)$ := $(log log t)^{-1}$${\int_{0}}^{loglogt}1_A$$(X(u\psi(t))/a(\psi(t)))dv$. It turns out that the upper and lower bounds are sharp and depend on the entire compact set of limit laws of {X(t)/a(t)}. The results extend to random walks in the Feller class as well. Earlier results of this nature were obtained by Donsker and Varadhan for symmetric stable processes and by Jain for random walks in the domain of attraction of a stable law.

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