• 제목/요약/키워드: MAP1B

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MAPS PRESERVING m- ISOMETRIES ON HILBERT SPACE

  • Majidi, Alireza
    • Korean Journal of Mathematics
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    • 제27권3호
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    • pp.735-741
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    • 2019
  • Let ${\mathcal{H}}$ be a complex Hilbert space and ${\mathcal{B}}({\mathcal{H}})$ the algebra of all bounded linear operators on ${\mathcal{H}}$. In this paper, we prove that if ${\varphi}:{\mathcal{B}}({\mathcal{H}}){\rightarrow}{\mathcal{B}}({\mathcal{H}})$ is a unital surjective bounded linear map, which preserves m- isometries m = 1, 2 in both directions, then there are unitary operators $U,V{\in}{\mathcal{B}}({\mathcal{H}})$ such that ${\varphi}(T)=UTV$ or ${\varphi}(T)=UT^{tr}V$ for all $T{\in}{\mathcal{B}}({\mathcal{H}})$, where $T^{tr}$ is the transpose of T with respect to an arbitrary but fixed orthonormal basis of ${\mathcal{H}}$.

Hamiltonian 비선형계의 기하학적 연구와 제3의 운동상수 응용 (On the Computer Simulation for the Third Integral and an Application of the Poincare Map in Hamiltonian System)

  • 박철희;문용찬
    • 대한기계학회논문집
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    • 제10권1호
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    • pp.170-180
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    • 1986
  • 본 연구에서는 2자유도 Hamiltonian 운동계에서 비선형 정규모우드(normal mode)들의 안정성을 예측하기 위한 제3의 운동상수를 선형계의 진동수비가 1:1이고 포텐셜이 4차항까지 우함수인 일반계에 적용하여 발전시켰다. 이는 Hamiltonian을 정규모우드로 바꾸는 B-G변환과 함수들을 부호처리함과 Poincare map을 이용하다. 비선형계에서 비선형상수에 따라 모우드가 bifurcate되며, 각각의 모우드 안정성은 제3의 운동상수와 Poincare map으로 정확히 판정할 수 있다는 결론을 얻었다.

RECENT RESULTS AND CONJECTURES IN ANALYTICAL FIXED POINT THEORY

  • Park, Se-Hie
    • East Asian mathematical journal
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    • 제24권1호
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    • pp.11-20
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    • 2008
  • We survey recent results and some conjectures in analytical fixed point theory. We list the known fixed point theorems for Kakutani maps, Fan-Browder maps, locally selectionable maps, approximable maps, admissible maps, and the better admissible class $\cal{B}$ of maps. We also give 16 conjectures related to that theory.

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COMMON FIXED POINTS OF A WEAK-COMPATIBLE PAIR OF A SINGLE VALUED AND A MULTIVALUED MAPS IN D-METRIC SPACES

  • Singh, Bijendra;Jain, Shobha
    • 충청수학회지
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    • 제18권1호
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    • pp.51-64
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    • 2005
  • The object of this paper is to prove two unique common fixed point theorems for a pair of a set-valued map and a self map satisfying a general contractive condition using orbital concept and weak-compatibility of the pair. One of these results generalizes substantially, the result of Dhage, Jennifer and Kang [4]. Simultaneously, its implications for two maps and one map improves and generalizes the results of Dhage [3], and Rhoades [11]. All the results of this paper are new.

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EXPANSIVITY OF A CONTINUOUS SURJECTION

  • Choi, Sung Kyu;Chu, Chin-Ku;Park, Jong Suh
    • 충청수학회지
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    • 제15권1호
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    • pp.7-23
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    • 2002
  • We introduce the notion of expansivity for a continuous surjection on a compact metric space, as the positively and negatively expansive map. We also prove that some well-known properties about positively expansive maps in [2] hold by using our definition.

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ON DYNAMICS OF A SIXTH-ORDER MULTIPLE-ROOT FINDER FOR NONLINEAR EQUATIONS

  • YOUNG HEE GEUM
    • Journal of applied mathematics & informatics
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    • 제42권1호
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    • pp.213-221
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    • 2024
  • A family of sixth-order multiple-root solver have been developed and the special case of weight function is investigated. The dynamical analysis of selected iterative schemes with uniparametric polynomial weight function are studied using Möbius conjugacy map applied to the form ((z - A)(z - B))m and the stability surfaces of the strange fixed points for the conjugacy map are displayed. The numerical results are shown through various parameter spaces.

B. pasteurii Urease 유전인자의 E. coli의 복제와 발현 (Molecular Cloning and Expression of Bacillus pasteurii Urease Gene in Escherichia coli)

  • Kim, Sang-Dal;John Spizizen
    • 한국미생물·생명공학회지
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    • 제13권3호
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    • pp.297-302
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    • 1985
  • 미생물중 urease생성능이 아주 강한 B. pasteurii의 Hind III partial digest 된 chromosomal DNA를 E. coli-B. subtilis bifunctional plasmid vector pGR 71으로 E. coli RR1 균주에 cloning 하므로써 그 urease gene을 expression시킬 수 있었다. 그러나 B. subtilis에서는 insertion DNA fragment의 deletion으로 expression되지 않았다. Cloning된 E.coli RR1 균주로부터 분리 정제한 urease gene함유 Plasmid(pGU66)의 restriction map을 작성하여 본 결과 7.1 Mdal의 insertion fragment가 삽입된 12.6Mdal의 plasmid에 Hind III, Bgl II, Xba I, Sal I등 몇 개의 cleavage site 위치를 찾을 수 있었다. Cloning된 E. coli의 urease는 periplasmic space에 많은 비율로 축적되며, 그 효소학적 성질은 donor인 B.pasteurii의 그것과 매우 유사하였다.

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Staphylococcus aureus DH1에서 분리된 Macrolide-Lincosamide-Streptogramin B 계열 항생물질에 대한 저항성 인자의 특성과 염기서열 (Nucleotide Sequence and Properties of Macrolide-Lincosamide-Streptogramin B Resistance Gene from Staphylococcus aureus DH1)

  • 권동현;박승문;윤권상;변우현
    • 미생물학회지
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    • 제28권1호
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    • pp.27-34
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    • 1990
  • 지속성 및 유발성 발한의 두 macrolide-lincosamide-streptogramin B 저항성 인자가 한 Staphylococcus aureus DHI 균주의 염색체 DNA 및 plasmid pDE1(7.4kb)로부터 각각 분리되었다. pDE1상의 유발성 Em 저항성 인자의 염기서열은 이미 보고 된 바 있는 pE194상의 ermC와 동일하였으며 지속성 Em 저항성 인자의 경우는 그 제한효소 인식부위의 mapping 결과로 보아 ermCdb전자에서 유발성 기구에 관여하는 leader peptide 부위가 결여된 인자인 것으로 밝혀졌다.

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NON-UNIFORM DEPENDENCE ON INITIAL DATA FOR THE FORNBERG-WHITHAM EQUATION IN C1(ℝ)

  • Yanghai Yu
    • 대한수학회보
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    • 제61권3호
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    • pp.837-848
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    • 2024
  • It is shown in [1] that the Cauchy problem for the Fornberg-Whitham equation is well-posed in C1(ℝ) and the data-to-solution map is Hölder continuous from Cα to C([0, T]; Cα) with α ∈ [0, 1). In this short paper, we further show that the data-to-solution map of the Fornberg-Whitham equation is not uniformly continuous on the initial data in C1(ℝ).

전해-자기 복합 가공을 이용한 마이크로 채널 디버링공정 최적화 (A Study on the Optimization of Deburring Process for the Micro Channel using EP-MAP Hybrid Process)

  • 이성호;곽재섭
    • 한국생산제조학회지
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    • 제22권2호
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    • pp.298-303
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    • 2013
  • Magnetic abrasive polishing is one of the most promising finishing methods applicable to complex surfaces. Nevertheless this process has a low efficiency when applied to very hardened materials. For this reason, EP-MAP hybrid process was developed. EP-MAP process is expected to machine complex and hardened materials. In this research, deburring process using EP-MAP hybrid process was proposed. EP-MAP deburring process is applied to micro channel, thereby it can obtain both deburring process and polishing process. EP-MAP deburring process on the micro channel was performed. Through design of experiment method, error of height in this process according to process parameter is analyzed. When the level 1 parameter A(magnetic flux density) and level 2 parameter B(electric potential), C(working gap) and level 3 parameter D(feed rate) are applied in the deburring process using EP-MAP hybrid process, it provides optimum result of EP-MAP hybrid deburring process.