• Title/Summary/Keyword: B Complex

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COMPLEX MOMENTS AND THE DISTRIBUTION OF VALUES OF L(1, χu) IN EVEN CHARACTERISTIC

  • Sunghan Bae;Hwanyup Jung
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.1
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    • pp.65-81
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    • 2024
  • In this paper, we announce that the strategy of comparing the complex moments of L(1, χu) to that of a random Euler product L(1, 𝕏) is also valid in even characteristic case. We give an asymptotic formulas for the complex moments of L(1, χu) in a large uniform range. We also give Ω-results for the extreme values of L(1, χu).

A New Method for Generationg Assembly Sequences (조리순서 생성을 위한 새로운 방법)

  • 박종헌;정명진
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.30B no.12
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    • pp.40-50
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    • 1993
  • This paper presents a new method for generating assembly sequences. The method acquires constraints on sequencing the assembly tasks without redundancy. Then it generates the assembly sequences without seatching undesirable tasks by recursively searching all assembly tasks which do not violate the assembly constraints. Since the method does not search undesirable tasks, it can generate assembly sequences for complex products. Current available methods may not generate assembly sequences for the complex product since their search-space increases explosively as the number of parts rises.

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New Active Filter using the Augmented Integrator (보상 적분기를 사용한 새로운 능동 여파기)

  • 김정덕;정훈성
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.15 no.4
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    • pp.20-25
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    • 1978
  • Two augmented integrators are sufficient as memory elements to realize an arbitrary second-order voltage transfer funtion which has complex poles in left-half S-plane, where S is a complex variable. The augmented integrator is characterized by transfer funtion B/(S+A), where A and B are real constant.

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Theoretical Study of the Hydroalumination Reaction of Cyclopropane with Alane

  • Singh, Satya Prakash;Thankachan, Pompozhi Protasis
    • Journal of the Korean Chemical Society
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    • v.57 no.2
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    • pp.216-220
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    • 2013
  • The hydroalumination of cyclopropane has been investigated using the B3LYP density functional method employing several split-valence basis sets. It is shown that the reaction proceeds via an intermediate weakly bound complex and a four-centered transition state. Calculations at higher levels of theory were also performed at the geometries optimized at the B3LYP level, but only slight changes in the barriers were observed. Structural parameters for the transition state are also reported.

A Study on the Techniques of Grid Control for Numerical Grid Generation (격자 조절기법에 관한 연구)

  • Yoon Yong Hyun
    • 한국전산유체공학회:학술대회논문집
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    • 2002.10a
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    • pp.84-87
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    • 2002
  • When computing the flow around complex three dimensional configurations, the generation of grid is the sunt time consuming part of any calculation. The object of this study is to develop the grid duster techniques capable of resolving complex flows with shock waves, expansion waves, shear layers, and cursive shapes, The Dot insert method of Non-Uniform Rational B-Splines is described as a id control method.

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REAL HALF LIGHTLIKE SUBMANIFOLDS WITH TOTALLY UMBILICAL PROPERTIES

  • Jin, Dae-Ho
    • The Pure and Applied Mathematics
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    • v.17 no.1
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    • pp.51-63
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    • 2010
  • In this paper, we prove two characterization theorems for real half lightlike submanifold (M,g,S(TM)) of an indefinite Kaehler manifold $\bar{M}$ or an indefinite complex space form $\bar{M}$(c) subject to the conditions : (a) M is totally umbilical in $\bar{M}$, or (b) its screen distribution S(TM) is totally umbilical in M.

Leucine Zipper as a Fine Tuner for the DNA Binding; Revisited with Molecular Dynamics Simulation of the Fos-Jun bZIP Complex

  • 최용훈;양철학;김현원;정선호
    • Bulletin of the Korean Chemical Society
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    • v.20 no.11
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    • pp.1319-1322
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    • 1999
  • Leucine zipper dynamically tunes the degree of bifurcation of the DNA binding segments in the basic region of the Fos-Jun bZIP complex. Molecular dynamics simulation indicated that site-specific mutagenesis of conserved leucine residues inside the leucine zipper domain caused the change of dynamic behavior of the basic region, and efficient DNA binding occurs only within a certain range of distance between the two DNA binding segments in the basic region. Distribution of α-helices in the hinge region is also suggested to influence the bifurcation of the DNA binding segments.

Synthesis, Crystal Structure and Characterization of Cu(II) and Cd(II) Coordination Compounds Based on Ligand 2-(3-(Pyridin-2-yl)-1H-pyrazol-1-yl)acetic Acid

  • Zhang, Ya-Jun;Wang, Cui-Juan;Mao, Kai-Li;Liu, Xiao-Lei;Huang, Shuai;Tong, Yan;Zhou, Xian-Li
    • Bulletin of the Korean Chemical Society
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    • v.35 no.7
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    • pp.2086-2092
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    • 2014
  • Two novel coordination compounds $[Cu_2(pypya)_3(H_2O)_2]{\cdot}Cl{\cdot}(H_2O)_5$ (1) and $\{[Cd(pypya)(ta)_{1/2}]{\cdot}H_2O\}_n$ (2) (Hpypya=2-(3-(pyridin-2-yl)-1H-pyrazol-1-yl)acetic acid, $H_2ta$=terephthalic acid) were synthesized and characterized by single X-ray diffraction. Structure determination reveals that complex 1 and complex 2 crystallize in the triclinic system, with the P-1 space group. The asymmetric unit of 1 contains two Cu(II) ions, and their coordination modes are different. These units of complex 1 are linked together via hydrogen bonds and ${\pi}-{\pi}$ interactions, and the 3D structure of complex 1 was formed. Complex 2, a mononuclear Cd(II) coordination compound, has a 2D structure which was constructed via coordination bonds. TGA and fluorescence spectra analysis of complex 1 and complex 2 have also been studied. In addition, the geometry parameters of complex 1 have been optimized with the B3LYP method of density functional theory (DFT) to explain its coordination behavior. The electronic properties of the complex 1 and ligand Hpypya have been investigated based on the nature bond orbital (NBO) analysis at the B3LYP level of theory. The result verifies that the synergistic effect have occurred in the compound.

A NOTE ON LINEAR COMBINATIONS OF AN IDEMPOTENT MATRIX AND A TRIPOTENT MATRIX

  • Yao, Hongmei;Sun, Yanling;Xu, Chuang;Bu, Changjiang
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1493-1499
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    • 2009
  • Let $A_1$ and $A_2$ be nonzero complex idempotent and tripotent matrix, respectively. Denote a linear combination of the two matrices by A = $c_1A_1$ + $c_2A_2$, where $c_1,\;c_2$ are nonzero complex scalars. In this paper, under an assumption of $A_1A_2$ = $A_2A_1$, we characterize all situations in which the linear combination is tripotent. A statistical interpretation of this tripotent problem is also pointed out. Moreover, In [2], Baksalary characterized all situations in which the above linear combination is idem-potent by using the property of decomposition of a tripotent matrix, i.e. if $A_2$ is tripotent, then $A_2$ = $B_1-B_2$, where $B^2_i=B_i$, i = 1, 2 and $B_1B_2=B_2B_1=0$. While in this paper, by utilizing a method different from the one used by Baksalary in [2], we prove the theorem 1 in [2] again.

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One-step Synthesis of Supramolecular Rectangles Starting from ($\eta^5$-Pentamethylcyclopentadienyl)rhodium(III) Aqua Complex

  • 한원석;이순원
    • Proceedings of the Korea Crystallographic Association Conference
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    • 2002.11a
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    • pp.27-27
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    • 2002
  • [Cp*Rh(H₂O)₃](OTf)₂ (1) reacts with a stoichiometric amount of A and B [ A = Me₃SiN₃, B = 4,4'-bipridyl, (2a), A = Me₃SiNCO, B = 4,4'-bipridyl (2b)] in acetone at room temperature for 3 h to give the supramolecular complexes [Cp*₄Rh₄(μ-A)₄(μ-B)₂] [A = Me₃SiN₃, B = 4,4'-bipridyl, (2a), A = Me₃SiNCO, B = 4,4'-bipridyl (2b)]. Complexes 2a and 2b have been structurally characterized by X-ray diffraction.

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