• Title/Summary/Keyword: zero properties

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A NOTE ON MATRICES WITH SIGNED NULL-SPACES

  • KIM, SI-JU;CHOI, TAEG-YOUNG;LEE, IN-HO
    • Honam Mathematical Journal
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    • v.26 no.3
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    • pp.341-353
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    • 2004
  • We denote by ${{\mathcal{Q}}(A)}$ the set of all matrices with the same sign pattern as A. A matrix A has signed null-space provided there exists a set ${\mathcal{S}}$ of sign patterns such that the set of sign patterns of vectors in the null-space of ${\tilde{A}}$ is ${\mathcal{S}}$, for each ${\tilde{A}}{\in}{{\mathcal{Q}}(A)}$. Some properties of matrices with signed null-spaces are investigated.

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STATISTICALLY LOCALIZED SEQUENCES IN 2-NORMED SPACES

  • Yamanci, Ulas;Nabiev, Anar Adiloglu;Gurdal, Mehmet
    • Honam Mathematical Journal
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    • v.42 no.1
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    • pp.161-173
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    • 2020
  • We introduce statistically localized sequences in 2-normed spaces and give some main properties of statistically localized sequences. Also, we prove that a sequence is statistically Cauchy sequence if and only if its statistical barrier is equal to zero. Moreover, we define the uniformly statistically localized sequences on 2-normed spaces and investigate its relationship with statistically Cauchy sequences.

Rheological, Characterization of Aqueous Poly(Ethylene Oxide) Solutions - Creep and Creep Recovery - (폴리에틸렌옥사이드 수용액의 유변학적 특성 평가 - 크리프 및 크리프 회복 -)

  • 장갑식;김태훈;박영훈;송기원
    • Proceedings of the Korean Fiber Society Conference
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    • 2001.10a
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    • pp.175-178
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    • 2001
  • 일반적으로 점탄성 거동을 나타내는 고분자 액체의 전단유동특성(shear flow properties)을 평가하기 위하여 정상전단(steady shear), 동적전단(dynamic shear), 응력완화(stress relaxation) 그리고 크리프(creep) 및 크리프 회복(creep recovery) 실험 등이 활용되고 있다[1], 이때 영전단점도(zero shear viscosity)와 정상상태 회복 컴플라이언스(steady-state recoverable compliance)는 정상상태(steady state)에서 얻어지는 물리량으로, 각 실험방법으로부터 직접적 또는 간접적으로 측정이 가능하다. (중략)

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Luminescence, Excitation and Far-infrared Spectroscopy of cis-$\alpha$-Dichlorotriethyleneteraminechromium(III) Chloride

  • 최종하
    • Bulletin of the Korean Chemical Society
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    • v.19 no.5
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    • pp.575-579
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    • 1998
  • The 77 K luminescence and excitation spectra, and 298 K infrared and absorption spectra of $cis-{\Alpha}-[Cr(trien)Cl_2]Cl{\cdot}H_2O$ (trien=triethylenetetramine) have been measured. Ligand field electronic transitions due to spin-allowed and spin-forbidden are assigned. The zero-phonon line in the excitation spectrum splits into two components by $198\; cm^{-1}$, and the large $^2E_g$ splitting can be reproduced by the modern ligand field theory. It is confirmed that nitrogen atoms of the trien ligand have a strong σ-donor character, but chloride ligand has weak σ- and π -donor properties toward chromium(III) ion.

THE EFFECTS OF Sm ON THE MICROSTRUCTURE AND MAGNETOSTRICTION OF Fe-Co ALLOYS

  • Shima, Toshiyuki;Aoyagi, Eiji;Fujimori, Hiroyasu
    • Journal of the Korean Magnetics Society
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    • v.5 no.5
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    • pp.726-729
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    • 1995
  • We investigated the effects of Sm on the microstructure and magnetic properties of Fe-Co Alloy films prepared by a DC triode sputtering. The magnetostriction was found to be changed with the Sm content from positive to negative values, taking a zero magnetostriction was at about 3 at% Sm. The Sm content dependence of magnetostriction was explained by the formation of Sm enriched amorphous phase surrounding the main bcc (Fe,Co) crystalline phase, which was observed by a high resolution transmission electron microscopy.

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MITTAG-LEFFLER STABILITY OF SYSTEMS OF FRACTIONAL NABLA DIFFERENCE EQUATIONS

  • Eloe, Paul;Jonnalagadda, Jaganmohan
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.4
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    • pp.977-992
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    • 2019
  • Mittag-Leffler stability of nonlinear fractional nabla difference systems is defined and the Lyapunov direct method is employed to provide sufficient conditions for Mittag-Leffler stability of, and in some cases the stability of, the zero solution of a system nonlinear fractional nabla difference equations. For this purpose, we obtain several properties of the exponential and one parameter Mittag-Leffler functions of fractional nabla calculus. Two examples are provided to illustrate the applicability of established results.

GENERALIZED FORMS OF SWIATAK'S FUNCTIONAL EQUATIONS WITH INVOLUTION

  • Wang, Zhihua
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.3
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    • pp.779-787
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    • 2019
  • In this paper, we study two functional equations with two unknown functions from an Abelian group into a commutative ring without zero divisors. The two equations are generalizations of Swiatak's functional equations with an involution. We determine the general solutions of the two functional equations and the properties of the general solutions of the two functional equations under three different hypotheses, respectively. For one of the functional equations, we establish the Hyers-Ulam stability in the case that the unknown functions are complex valued.

A MODIFIED POLYNOMIAL SEQUENCE OF THE CHEBYSHEV POLYNOMIALS OF THE SECOND KIND

  • Kim, Seon-Hong
    • Communications of the Korean Mathematical Society
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    • v.34 no.2
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    • pp.429-437
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    • 2019
  • Dilcher and Stolarsky [1] recently studied a sequence resembling the Chebyshev polynomials of the first kind. In this paper, we follow their some research directions to the Chebyshev polynomials of the second kind. More specifically, we consider a sequence resembling the Chebyshev polynomials of the second kind in two different ways, and investigate its properties including relations between this sequence and the sequence studied in [1], zero distribution and the irreducibility.

RIESZ TRIPLE ALMOST LACUNARY χ3 SEQUENCE SPACES DEFINED BY A ORLICZ FUNCTION-I

  • SUBRAMANIAN, N.;Esi, Ayhan;AIYUB, M.
    • Journal of applied mathematics & informatics
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    • v.37 no.1_2
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    • pp.37-52
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    • 2019
  • In this paper we introduce a new concept for Riesz almost lacunary ${\chi}^3$ sequence spaces strong P - convergent to zero with respect to an Orlicz function and examine some properties of the resulting sequence spaces. We introduce and study statistical convergence of Riesz almost lacunary ${\chi}^3$ sequence spaces and some inclusion theorems are discussed.