• Title/Summary/Keyword: *-derivation

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Multistep Quantum Master Equation Theory for Response Functions in Four Wave Mixing Electronic Spectroscopy of Multichromophoric Macromolecules

  • Jang, Seog-Joo
    • Bulletin of the Korean Chemical Society
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    • v.33 no.3
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    • pp.997-1008
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    • 2012
  • This work provides an alternative derivation of third order response functions in four wave mixing spectroscopy of multichromophoric macromolecular systems considering only single exciton states. For the case of harmonic oscillator bath linearly and diagonally coupled to exciton states, closed form expressions showing all the explicit time dependences are derived. These expressions can provide more solid physical basis for understanding 2-dimensional electronic spectroscopy signals. For more general cases of system-bath coupling, the quantum master equation (QME) approach is employed for the derivation of multistep time evolution equations for Green function-like operators. Solution of these equations is feasible at the level of 2nd order non-Markovian QME, and the new approach can account for inter-exciton coupling, dephasing, relaxation, and non-Markovian effects in a consistent manner.

NONLINEAR ξ-LIE-⁎-DERIVATIONS ON VON NEUMANN ALGEBRAS

  • Yang, Aili
    • Korean Journal of Mathematics
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    • v.27 no.4
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    • pp.969-976
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    • 2019
  • Let ℬ(ℋ) be the algebra of all bounded linear operators on a complex Hilbert space ℋ and 𝒨 ⊆ ℬ(ℋ) be a von Neumann algebra without central abelian projections. Let ξ be a non-zero scalar. In this paper, it is proved that a mapping φ : 𝒨 → ℬ(ℋ) satisfies φ([A, B]ξ)= [φ(A), B]ξ+[A, φ(B)]ξ for all A, B ∈ 𝒨 if and only if φ is an additive ⁎-derivation and φ(ξA) = ξφ(A) for all A ∈ 𝒨.

STABILITY OF (α, β, γ)-DERIVATIONS ON LIE C*-ALGEBRA ASSOCIATED TO A PEXIDERIZED QUADRATIC TYPE FUNCTIONAL EQUATION

  • Eghbali, Nasrin;Hazrati, Somayeh
    • Communications of the Korean Mathematical Society
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    • v.31 no.1
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    • pp.101-113
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    • 2016
  • In this article, we considered the stability of the following (${\alpha}$, ${\beta}$, ${\gamma}$)-derivation $${\alpha}D[x,y]={\beta}[D(x),y]+{\gamma}[x,D(y)]$$ and homomorphisms associated to the quadratic type functional equation $$f(kx+y)+f(kx+{\sigma}(y))=2kg(x)+2g(y),\;x,y{\in}A$$, where ${\sigma}$ is an involution of the Lie $C^*$-algebra A and k is a fixed positive integer. The Hyers-Ulam stability on unbounded domains is also studied. Applications of the results for the asymptotic behavior of the generalized quadratic functional equation are provided.

A DST-3 BASED TRANSFORM KERNEL DERIVATION METHOD FOR DST-4 and DCT-4 IN VIDEO CODING (DST-4 와 DCT-4 를 위한 DST-3 기반 비디오 압축 변환 커널 유도 방법)

  • Shrestha, Sandeep;lee, Bumshik
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2019.11a
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    • pp.249-251
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    • 2019
  • In the ongoing standardization of Versatile Video Coding (VVC), DCT-2, DST-7 and DCT-8 are designated as the vital primary transform kernels. Due to the effectiveness of DST-4 and DCT-4 in smaller resolution sequences, DST-4 and DCT-4 transform kernel can also be used as the replacement of the DST-7 and DCT-8 transform kernel respectively. While storing all of those transform kernels, ROM memory storage is considered as the major issue. So, to deal with this scenario, a unified DST-3 based transform kernel derivation method is proposed in this paper. The transform kernels used in this paper is DCT-2, DST-4 and DCT-4 transform kernels. The proposed ROM memory required to store the matrix elements is 1368 bytes each of 8-bit precision.

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The Derivation of Simplified Vehicle Body Stiffness Equation Using Collision Analysis (자동차 충돌해석에 의한 단순화된 차체 강성 방정식의 유도)

  • 장인식;채덕병
    • Transactions of the Korean Society of Automotive Engineers
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    • v.8 no.4
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    • pp.177-185
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    • 2000
  • The deformation characteristics is one of the major factors to resume the crash configuration in collision accident reconstruction. Crash analysis are carried out using finite element method and body stiffness equations representing force-deformation relationship are derived, Two different crash conditions : 1) frontal barrier impact 2) frontal impact between cars are given for the derivation of the equations. The stiffness coefficient of equation by method 2) is larger than that by method. 1). Crash analysis between two vehicles is accomplished with three crash angles and three velocities for each angle condition. The deformations are measured for six selected points and deformation energies are calculated using the derived equations. Equation by method 2) results in better estimation of deformation energy than that by method 1) for all crush configurations. The estimated energies can be utilized as one of indices to identify the type of the collision accident result.

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How Anaphors Recover Their References

  • Lee, Hyeran
    • Korean Journal of English Language and Linguistics
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    • v.1 no.4
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    • pp.629-649
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    • 2001
  • This paper aims to provide an account for the English anaphors under the framework of the recent development of minimalism (Chomsky 1999, 2001). I propose that the anaphor has the uninterpretable [a] feature. The Agree operation erases the [a] feature by feature match. Once the [a] is deleted, the derivation converges, providing a proper interpretation of the anaphor. When there is no matching phi-features, the [a] cannot be eliminated, inducing the derivation to crash. The Agree operation can account for not only the typical local binding cases in English but the apparent long-distance binding cases in the picture-DP and expletive constructions. Consequently, the traditional concept of the binding domain and dichotomy between local and long-distance types are abandoned in favor of the analysis under the framework of minimalism. The minimalist accounts thus maximally simplifies the binding principles, using the general operation Agree only.

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Agreement and Movement

  • Lee, Hong-Bae
    • Korean Journal of English Language and Linguistics
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    • v.1 no.1
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    • pp.145-162
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    • 2001
  • The operation Move is defined in Chomsky (1999, 2000) as a composite operation consisting of three components: Agree, Identify and Merge, taking Agree as a necessary condition for Move. Therefore, I call this definition of Move as the Agree-based Move. In this paper, I argue that the Agree-based approach to Move cannot be maintained; I claim that the Selection-based approach to Move, in which the EPP-feature is analyzed as an s-selectional property of a head, offers a more natural account of the sentences under consideration. I believe that the three components of Move as defined in (6) happen to co-occur in the derivation of certain sentences, as the composite transformation called Passivization does in the derivation of a passive sentence like “the city was destroyed by the enemy.” On the basis of these observations, I conclude that Agree and Move should be regarded as separate computational operations; the task of Agree is to erase uninterpretable features of both probe and goal, and that of Move is to satisfy the EPP-feature, which should be taken as an s-selectional feature.

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SOME RESULTS CONCERNING ($\theta,\;\varphi$)-DERIVATIONS ON PRIME RINGS

  • Park, Kyoo-Hong;Jung Yong-Soo
    • The Pure and Applied Mathematics
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    • v.10 no.4
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    • pp.207-215
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    • 2003
  • Let R be a prime ring with characteristic different from two and let $\theta,\varphi,\sigma,\tau$ be the automorphisms of R. Let d : $R{\rightarrow}R$ be a nonzero ($\theta,\varphi$)-derivation. We prove the following results: (i) if $a{\in}R$ and [d(R), a]$_{{\theta}o{\sigma},{\varphi}o{\tau}}$=0, then $\sigma(a)\;+\;\tau(a)\;\in\;Z$, the center of R, (ii) if $d([R,a]_{\sigma,\;\tau)\;=\;0,\;then\;\sigma(a)\;+\;\tau(a)\;\in\;Z$, (iii) if $[ad(x),\;x]_{\sigma,\;\tau}\;=\;0;for\;all\;x\;\in\;RE$, then a = 0 or R is commutative.

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Comparison of Ionospheric Spatial Gradient Estimation Methods using GNSS (GNSS를 이용한 전리층 기울기 추정 방법 비교)

  • Jeong, Myeong-Sook;Kim, Jeong-Rae
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.15 no.2
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    • pp.18-24
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    • 2007
  • The high ionospheric spatial gradient during ionospheric storm is the most concern when applying GNSS(Global Navigation Satellite System) augmentation systems for aircraft precision approach. Since the ionospheric gradient level depends on geographical location as well as the storm, understanding the ionospheric gradient statistics over a specific regional area is necessary for operating the augmentation systems. This paper compares three ionosphere gradient computation methods, direct differentiation between two receivers' ionospheric delay signal for a common satellite, derivation from a grid ionosphere map, and derivation from a plate ionosphere map. The plate map method provides a good indication on the gradient variation behavior over a regional area with limited number of GNSS receivers. The residual analysis for the ionosphere storm detection is discussed as well.

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Edge-Integrity and the Syllable Structure in Korean

  • Kang, Eun-Yeong
    • Proceedings of the Korean Society for Language and Information Conference
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    • 2002.02a
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    • pp.135-146
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    • 2002
  • The so-called overapplication of Coda Neutralization in Korean, the occurrence of a neutralized consonant in a non-neutralizing environment, is often considered as evidence for serial derivation. In this paper I propose that the neutralization effect at surface is not a result of a phonological process at an intermediate level in serial derivation, but due to a constraint requiring the integrity of the morphological constituent: EDGE-INTEGRITY. It is argued that this is not reducible to an alignment constraint, but a genuine faithfulness constraint on the edge of a morphological constituent. The putative opacity related with the coda neutralization is shown to be an epiphenomenon arising from the ambisyllabic representation of a consonant at a morphological juncture, satisfying both EDGE-INTEGRITY arid Syllabic Conditions. Consonant Copy in the Jeju dialect provides further evidence for EDGE-INTEGRITY, the Only difference being that the conflict between Syllabic Conditions and EDGE-INTEGRITY is resolved by insertion of a copied consonant.

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