• Title/Summary/Keyword: sub-classes

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Higher fungi of Dagelet Island (Forest Experiment Station) (울릉도의 버섯류)

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    • Journal of Plant Biology
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    • v.2 no.2
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    • pp.22-24
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    • 1959
  • 1. In this paper the author reports on 16 species fo the higher fungi, Which were collected in the Dagelet Island during the periods of October 5-22, 1958. 2. They are Classified as follows : 1. Class, 2 subClasses, 4 orders, 8 families, 13 genera and 16 species. Among them 2 unrecorded species are included.

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Evaluation of the Ductile-Brittle Transition Behavior of fracture Toughness by Material Degradation (열화에 따른 파괴인성치의 연성-취성 천이거동 평가)

  • 석창성;김형익;김상필
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.5
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    • pp.140-147
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    • 2003
  • As the huge energy transfer systems like as nuclear power plant and steam power plant are operated for a long time at a high temperature, mechanical properties are changed and ductile-brittle transition temperature is raised by degradation. So it is required to estimate degradation in order to assess the safety, remaining life and further operation parameters. The sub-sized specimen test method using surveillance specimen was developed for evaluating the integrity of metallic components. In this study, we would like to present the evaluation technique of the ductile-brittle transition temperature by the sub-sized specimen test. The four classes of the thermally aged 1Cr-1Mo-0.25V specimens were prepared using an artificially accelerated aging method. The tensile test and fracture toughness test were performed. The results of the fracture toughness tests using the sub-sized specimens were compared with the evaluation technique of the ductile-brittle transition temperature.

THE CLASSIFICATION OF SELF-ORTHOGONAL CODES OVER ℤp2 OF LENGTHS ≤ 3

  • Choi, Whan-Hyuk;Kim, Kwang Ho;Park, Sook Young
    • Korean Journal of Mathematics
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    • v.22 no.4
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    • pp.725-742
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    • 2014
  • In this paper, we find all inequivalent classes of self-orthogonal codes over $Z_{p^2}$ of lengths $l{\leq}3$ for all primes p, using similar method as in [3]. We find that the classification of self-orthogonal codes over $Z_{p^2}$ includes the classification of all codes over $Z_p$. Consequently, we classify all the codes over $Z_p$ and self-orthogonal codes over $Z_{p^2}$ of lengths $l{\leq}3$ according to the automorphism group of each code.

The Evaluation of Ductile-Brittle Transition of Fracture Toughness by Material Degradation (재료열화에 따른 파괴인성치의 연성-취성 천이거동 평가)

  • Kim, Sang-Pil;Kim, Hyung-Ick;Seok, Chang-Sung
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.579-584
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    • 2001
  • As the huge energy transfer systems like as nuclear power plant and steam power plant are operated for a long time, mechanical properties are changed and ductile-brittle transition temperature is raised by degradation. So it is required to estimate degradation in order to assess the safety, remaining life, and further operation parameters. The sub-sized specimen test method using surveillance specimen was developed for evaluating the integrity of metallic components. In this study, we would like to present the evaluation technique of the ductile-brittle transition temperature by the sub-sired specimen test. The four classes of the thermally aged 1Cr-1Mo-0.25V specimens were prepared using an artificially accelerated aging method. The tensile test and fracture toughness test were performed. The results of the fracture toughness tests using the sub-sized specimens were compared with the evaluation technique of the ductile-brittle transition temperature.

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HYPERGEOMETRIC DISTRIBUTION SERIES AND ITS APPLICATION OF CERTAIN CLASS OF ANALYTIC FUNCTIONS BASED ON SPECIAL FUNCTIONS

  • Murugusundaramoorthy, Gangadharan;Porwal, Saurabh
    • Communications of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.671-684
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    • 2021
  • The tenacity of the current paper is to find connections between various subclasses of analytic univalent functions by applying certain convolution operator involving generalized hypergeometric distribution series. To be more specific, we examine such connections with the classes of analytic univalent functions k - 𝓤𝓒𝓥* (𝛽), k - 𝓢*p (𝛽), 𝓡 (𝛽), 𝓡𝜏 (A, B), k - 𝓟𝓤𝓒𝓥* (𝛽) and k - 𝓟𝓢*p (𝛽) in the open unit disc 𝕌.

ON SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH STRUVE FUNCTIONS

  • Frasin, B.A.;Al-Hawary, Tariq;Yousef, Feras;Aldawish, I.
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.1
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    • pp.99-110
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    • 2022
  • The main object of this paper is to provide necessary and sufficient conditions for the generalized Struve functions of first kind to be in the classes 𝒮(k, λ) and 𝒞(k, λ). Furthermore, we give conditions for the integral operator 𝓛(m, c, z) = ∫z0(2 - up(t))dt to be in the class 𝒞*(k, λ). Several corollaries and consequences of the main results are also considered.

SOME NEW CLASSES OF ZERO-DIFFERENCE BALANCED FUNCTIONS AND RELATED CONSTANT COMPOSITION CODES

  • Sankhadip, Roy
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.6
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    • pp.1327-1337
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    • 2022
  • Zero-difference balanced (ZDB) functions can be applied to many areas like optimal constant composition codes, optimal frequency hopping sequences etc. Moreover, it has been shown that the image set of some ZDB functions is a regular partial difference set, and hence provides strongly regular graphs. Besides, perfect nonlinear functions are zero-difference balanced functions. However, the converse is not true in general. In this paper, we use the decomposition of cyclotomic polynomials into irreducible factors over 𝔽p, where p is an odd prime to generalize some recent results on ZDB functions. Also we extend a result introduced by Claude et al. [3] regarding zero-difference-p-balanced functions over 𝔽pn. Eventually, we use these results to construct some optimal constant composition codes.

(𝒱, 𝒲, 𝑦, 𝒳)-GORENSTEIN COMPLEXES

  • Yanjie Li;Renyu Zhao
    • Journal of the Korean Mathematical Society
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    • v.61 no.3
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    • pp.603-620
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    • 2024
  • Let 𝒱, 𝒲, 𝑦, 𝒳 be four classes of left R-modules. The notion of (𝒱, 𝒲, 𝑦, 𝒳)-Gorenstein R-complexes is introduced, and it is shown that under certain mild technical assumptions on 𝒱, 𝒲, 𝑦, 𝒳, an R-complex 𝑴 is (𝒱, 𝒲, 𝑦, 𝒳)-Gorenstein if and only if the module in each degree of 𝑴 is (𝒱, 𝒲, 𝑦, 𝒳)-Gorenstein and the total Hom complexs HomR(𝒀, 𝑴), HomR(𝑴, 𝑿) are exact for any ${\mathbf{Y}}\,{\in}\,{\tilde{\mathcal{Y}}}$ and any ${\mathbf{X}}\,{\in}\,{\tilde{\mathcal{X}}}$. Many known results are recovered, and some new cases are also naturally generated.

DEGREE OF APPROXIMATION OF A FUNCTION ASSOCIATED WITH HARDY-LITTLEWOOD SERIES IN WEIGHTED ZYGMUND W(Z(𝜔)r)-CLASS USING EULER-HAUSDORFF SUMMABILITY MEANS

  • Tejaswini Pradhan;G V V Jagannadha Rao
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.4
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    • pp.1035-1049
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    • 2023
  • Approximation of functions of Lipschitz and Zygmund classes have been considered by various researchers under different summability means. In the proposed study, we investigated an estimation of the order of convergence of a function associated with Hardy-Littlewood series in the weighted Zygmund class W(Z(𝜔)r)-class by applying Euler-Hausdorff summability means and subsequently established some (presumably new) results. Moreover, the results obtained here represent the generalization of several known results.

GRADED PSEUDO-VALUATION RINGS

  • Fatima-Zahra Guissi;Hwankoo Kim;Najib Mahdou
    • Journal of the Korean Mathematical Society
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    • v.61 no.5
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    • pp.953-973
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    • 2024
  • Let R = ⊕α∈Γ Rα be a commutative ring graded by an arbitrary torsionless monoid Γ. A homogeneous prime ideal P of R is said to be strongly homogeneous prime if aP and bR are comparable for any homogeneous elements a, b of R. We will say that R is a graded pseudo-valuation ring (gr-PVR for short) if every homogeneous prime ideal of R is strongly homogeneous prime. In this paper, we introduce and study the graded version of the pseudo-valuation rings which is a generalization of the gr-pseudo-valuation domains in the context of arbitrary Γ-graded rings (with zero-divisors). We then study the possible transfer of this property to the graded trivial ring extension and the graded amalgamation. Our goal is to provide examples of new classes of Γ-graded rings that satisfy the above mentioned property.