• Title/Summary/Keyword: $Z_2$

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Superior Mandelbrot Set

  • Rani, Mamta;Kumar, Vinod
    • Research in Mathematical Education
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    • v.8 no.4
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    • pp.279-291
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    • 2004
  • Mandelbrot sets and its generalizations have been extensively studied by using the Picard iterations. The purpose of this paper is to study superior Mandelbrot sets, a new class of Mandelbrot sets by introducing the Mann iterative procedure for polynomials Q$_{c}$(z) := z$^n$ + c. We generate some superior Mandelbrot sets for different values of n ($\geq$2) and these new figures are exciting and fascinating.g.

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Allantoin 분해 유전자들의 발현 유도에 관여하는 세가지 요소 (UAS, URS, UIS)

  • 유향숙
    • The Microorganisms and Industry
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    • v.14 no.1
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    • pp.12-16
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    • 1988
  • Allantoin 분해 유전자들중 highly inducible 한 DAL7, DUR1,2및 constitutive한 DAL5 gene의 promoter를 deletion 방법에 의해 발현에 필요한 최소 DNA seqyence 부위를 정한후 이 DNA seqyence를 다시 oligonucleotide 합성방법에 의해 합성하여 Cyc 1-LacZ expression vector에 삽입하여 효모내에서 LacZ의 발현이 삽입한 DNA sequence에 의해 영향을 받는 정도를 측정하여 (.betha.-galactosidase activity) deletion 방법에 의해 결정한 이 DNA dequence들이 직접 발현유도에 관여하는가를 조사하였다.

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HIGHER CYCLOTOMIC UNITS FOR MOTIVIC COHOMOLOGY

  • Myung, Sung
    • Korean Journal of Mathematics
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    • v.21 no.3
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    • pp.331-344
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    • 2013
  • In the present article, we describe specific elements in a motivic cohomology group $H^1_{\mathcal{M}}(Spec\mathbb{Q}({\zeta}_l),\;\mathbb{Z}(2))$ of cyclotomic fields, which generate a subgroup of finite index for an odd prime $l$. As $H^1_{\mathcal{M}}(Spec\mathbb{Q}({\zeta}_l),\;\mathbb{Z}(1))$ is identified with the group of units in the ring of integers in $\mathbb{Q}({\zeta}_l)$ and cyclotomic units generate a subgroup of finite index, these elements play similar roles in the motivic cohomology group.

UPPER BOUND ON THE THIRD HANKEL DETERMINANT FOR FUNCTIONS DEFINED BY RUSCHEWEYH DERIVATIVE OPERATOR

  • Yavuz, Tugba
    • Communications of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.437-444
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    • 2018
  • Let S denote the class of analytic and univalent functions in the open unit disk $D=\{z:{\mid}z{\mid}<1\}$ with the normalization conditions f(0) = 0 and f'(0) = 1. In the present article, an upper bound for third order Hankel determinant $H_3(1)$ is obtained for a certain subclass of univalent functions generated by Ruscheweyh derivative operator.

A Study of the Storytelling in Z-Dept.h image on Stereoscopic (입체영상에서 깊이감을 통한 스토리텔링에 관한 연구)

  • Chung, Tae-Sub
    • Proceedings of the KAIS Fall Conference
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    • 2010.11b
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    • pp.769-772
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    • 2010
  • 본 논문에서는 입체영상에서는 일반적인 영상의 스토리 구조인 발단, 갈등, 절정, 결말의 구조와 함께 입체적 설계가 같이 수반되어야 한다는 것이다. 이는 영상의 공간이 X,Y축에 의한 2차원 그래프에 의한 구조와 함께 입체를 나타내는 Z축의 존재도 필요하다는 것이다. 이에 스토리에 의해 진행되는 입체화의 구조에 대하여 논하고자 한다.

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PEAK FUNCTION AND ITS APPLICATION

  • Cho, Sang-Hyun
    • Journal of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.399-411
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    • 1996
  • Let $\Omega$ be a smoothly bounded pseudoconvex domain in $C^n$ and let $A(\Omega)$ denote the functions holomorphic on $\Omega$ and continuous on $\bar{\Omega}$. A point $p \in b\Omega$ is a peak point if there is a function $f \in A(\Omega)$ such that $f(p) = 1, and $\mid$f(z)$\mid$ < 1 for z \in \bar{\Omega} - {p}$.

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3-DIMENSIONAL NON-COMPACT INFRA-NILMANIFOLDS

  • Kim, Ki-Heung;Im, Sung-Mo
    • Journal of the Korean Mathematical Society
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    • v.36 no.1
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    • pp.1-13
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    • 1999
  • Let G be the 3-dimensional Heisenberg group. A discrete subgroup of Isom(G), acting freely on G with non-compact quotient, must be isomorphic to either 1, Z, Z2 or the fundamental group of the Klein bottle. We classify all discrete representations of such groups into Isom(G) up to affine conjugacy. This yields an affine calssification of 3-dimensional non-compact infra-nilmanifolds.

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ON ENTIRE SOLUTIONS OF NONLINEAR DIFFERENCE-DIFFERENTIAL EQUATIONS

  • Wang, Songmin;Li, Sheng
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.5
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    • pp.1471-1479
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    • 2013
  • In this paper, we study the non-existence of finite order entire solutions of nonlinear differential-difference of the form $$f^n+Q(z,f)=h$$, where $n{\geq}2$ is an integer, $Q(z,f)$ is a differential-difference polynomial in $f$ with polynomial coefficients, and $h$ is a meromorphic function of order ${\leq}1$.

The Application of Generalized Characteristic Coordinate System

  • Wu Z. N.;Chen Z.
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.126-127
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    • 2003
  • In the generalized characteristic coordinate system (GCCS) proposed by Wu and Shi [1], the frame moves at a speed which is a linear combination of the convective speed and the sound speed, thus unifying the classical Eulerian approach, Lagrangian approach, and the unified coordinate system (UCS) of Hui and his co-workers [2]. Here some properties of Euler equations in the GCCS are studied and the advantages of GCCS in capturing expansion fans and shock waves are demonstrated by the results of numerical tests.

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Studies on the establishing a lawn of Zoysia Japonica Steud with the seeds. Part II. Investigation of the seeding root system of Zoysia japonica steud. (한국잔디(Zoysia Japonica Steud)의 실생번식법 확립에 관한 연구 II. 종자의 발아형태 조사)

  • 전우방
    • Asian Journal of Turfgrass Science
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    • v.3 no.2
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    • pp.73-76
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    • 1989
  • To establish a lawn Zoysia japonica Steud with seeds a win of experiments were conducted for the investigation of seedling root system. The results m summarized m follows; Zoysia japonica and maize elongated mesocotyle in germinating stage. but rye and barley did not. The mesocotyle of Z. japonica seed pushed the elongating coleoptile up throngh the soil, hence could emerge from more deeply planted. The crown roots of Z japonica originated from the coleoptile node. The crown roots of barley originated from the first foliage led node.

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