• Title/Summary/Keyword: extension properties

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Changes of Chemical Properties and Correlation under No-tillage Silt Loam Soil with Ridge Cultivation of Plastics Film Greenhouse Condition

  • Yang, Seung-Koo;Shin, Gil-Ho;Kim, Hee-Kon;Kim, Hyun-Woo;Choi, Kyung-Ju;Jung, Woo-Jin
    • Korean Journal of Soil Science and Fertilizer
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    • v.48 no.3
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    • pp.170-179
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    • 2015
  • This study was carried out to investigate the sustainable agriculture of no-tillage technique to minimize tillage problems under rain interception green house condition including recycling of the ridge and the furrow for following cultivation in Korea. Chemical properties in soils were investigated at 3-years after cultivation at conventional tillage [CT; 2-years no-tillage (2009-2010) and 1-year (2011) tillage] and no-tillage [NT; 2009-2011] field. Soil pH maintained between 5.8 and 6.0 irrespectively tillage and no-tillage. Salinity (EC), contents of total nitrogen (TN), cation exchange capacity (CEC), and exchangeable cations (K, Ca and Mg) in soil were remarkably higher in CT than in NT treatment. Salinity (EC), contents of OM, TN, CEC, and exchangeable cations in top soil and subsoil indicated higher deviation in CT than NT treatment. Organic matters and inorganic matters in soil were positive (+) correlation. Suppression of pepper growth and increase of yield were observed in no-tillage soil compared with tillage soil. These results indicated that no-tillage technique in crop culture could play an important role with respect to chemical properties in silt loam soil.

Numerical Analysis of Concrete Fracture Properties (콘크리트 파괴특성의 수치해석)

  • 연정흠
    • Proceedings of the Korea Concrete Institute Conference
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    • 1995.04a
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    • pp.237-244
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    • 1995
  • Fracture properties for LEFM, S-FPZ and NS-FPZ models were determined using by finite element method and energy balance from the experimental results of three-point bend tests. For the LEFM model the stress intensity factor needed to increase continuously with crack extension, and for the S-FPZ model the fracture process zone characteristics need to change continuously if the critical stress intensity factor was to remain constant. The LEFM model showed the largest resistance and the slowest crack extension, while the NS-FPZ model showed the smallest resistance and the fastest crack extension. The responses for the S-FPZ model were intermediate between those for the LEFM and NS-FPZ models and the total fracture energy densities for the S-FPZ and NS-FPZ models and the total fracture energy densities for the S-FPZ and NS-FPZ models were equal.

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(p, q)-EXTENSION OF THE WHITTAKER FUNCTION AND ITS CERTAIN PROPERTIES

  • Dar, Showkat Ahmad;Shadab, Mohd
    • Communications of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.619-630
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    • 2018
  • In this paper, we obtain a (p, q)-extension of the Whittaker function $M_{k,{\mu}}(z)$ together with its integral representations, by using the extended confluent hypergeometric function of the first kind ${\Phi}_{p,q}(b;c;z)$ [recently extended by J. Choi]. Also, we give some of its main properties, namely the summation formula, a transformation formula, a Mellin transform, a differential formula and inequalities. In addition, our extension on Whittaker function finds interesting connection with the Laguerre polynomials.

A SOFT TRANSFER AND SOFT ALGEBRAIC EXTENSION OF INT-SOFT SUBALGEBRAS AND IDEALS IN BCK/BCI-ALGEBRAS

  • JUN, YOUNG BAE;LEE, KYOUNG JA
    • Communications of the Korean Mathematical Society
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    • v.30 no.4
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    • pp.339-348
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    • 2015
  • Using the notion of soft sets, the concepts of the soft transfer, support and soft algebraic extension of an int-soft subalgebra and ideal in BCK/BCI-algebras are introduced, and related properties are investigated. Conditions for a soft set to be an int-soft subalgebra and ideal are provided. Regarding the notion of support, conditions for the soft transfer of a soft set to be an int-soft subalgebra and ideal are considered.

ON THE VECTOR-VALUED INDEX

  • Kim, In-Sook
    • Journal of the Korean Mathematical Society
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    • v.35 no.4
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    • pp.891-901
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    • 1998
  • We give a definition of the vector-valued index for Z-actions extending the numerical index in [9] and prove the extension theorem for Z-actions for showing basic properties of the vector-valued index.

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BIPOLAR FUZZY TRANSLATIONS IN BCK/BCI-ALGEBRAS

  • Jun, Young Bae;Kim, Hee Sik;Lee, Kyoung Ja
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.3
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    • pp.399-408
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    • 2009
  • A bipolar fuzzy translation and a bipolar fuzzy S-extension of a bipolar fuzzy subalgebra in a BCK/BCI-algebra are introduced, and related properties are investigated.

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SOME RESULTS ON FUZZY IDEAL EXTENSIONS OF BCK-ALGEBRAS

  • Jeong, Won-Kyun
    • East Asian mathematical journal
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    • v.26 no.3
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    • pp.379-387
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    • 2010
  • In this paper, we prove that the extension ideal of a fuzzy characteristic ideal of a positive implicative BCK-algebra is a fuzzy characteristic ideal. We introduce the notion of the extension of intuitionistic fuzzy ideal of BCK-algebras and some properties of fuzzy intuitionistic ideal extensions of BCK-algebra are investigated.

A Note on the Spectrum of any Self-adjoint Extension

  • Lim, Chong Rock
    • The Mathematical Education
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    • v.22 no.1
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    • pp.67-68
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    • 1983
  • In this note we consider properties for the discreteness of the spectrum of second-order differential operators. If we give some conditions, then the spectrum of any self-adjoint extension of $A_{0}$ , $A_{0}$ u=$\alpha$[u], D( $A_{0}$ )= $C_{0}$ $^{\infty}$(0.1) is discrete.1) is discrete.

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