The Experts below are selected from a list of 38115 Experts worldwide ranked by ideXlab platform
Xiaomin Tang - One of the best experts on this subject based on the ideXlab platform.
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Biderivations of the higher rank Witt algebra without anti-Symmetric Condition
Open Mathematics, 2018Co-Authors: Xiaomin Tang, Yu YangAbstract:AbstractThe Witt algebra
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Biderivations of the planar Galilean conformal algebra and their applications
Linear and Multilinear Algebra, 2018Co-Authors: Xiaomin Tang, Yongyue ZhongAbstract:In this paper, the biderivations without skew-Symmetric Condition of the planar Galilean conformal algebra are presented. As applications, the characterizations of the forms of linear commuting map...
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Biderivations of the twisted Heisenberg–Virasoro algebra and their applications
Communications in Algebra, 2017Co-Authors: Xiaomin TangAbstract:In this paper, the biderivations without the skew-Symmetric Condition of the twisted Heisenberg–Virasoro algebra are presented. We find some non-inner and non-skew-Symmetric biderivations. As appli...
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Biderivations of the twisted Heisenberg-Virasoro algebra and their applications
arXiv: Rings and Algebras, 2017Co-Authors: Xiaomin TangAbstract:In this paper, the biderivations without the skew-Symmetric Condition of the twisted Heisenberg-Virasoro algebra are presented. We find some non-inner and non-skew-Symmetric biderivations. As applications, the characterizations of the forms of linear commuting maps and the commutative post-Lie algebra structures on the twisted Heisenberg-Virasoro algebra are given. It also is proved that every biderivation of the graded twisted Heisenberg-Virasoro left-Symmetric algebra is trivial.
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biderivations linear commuting maps and commutative post lie algebra structures on w algebras
Communications in Algebra, 2017Co-Authors: Xiaomin TangAbstract:ABSTRACTIn this paper, the biderivations without the skew-Symmetric Condition of W-algebras including the Witt algebra, the algebra W(2,2) and their central extensions are characterized. Some classes of non-inner biderivations are presented. As applications, the forms of linear commuting maps and the commutative post-Lie algebra structures on aforementioned W-algebras are given.
Yu Yang - One of the best experts on this subject based on the ideXlab platform.
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The geometrical properties of parity and time reversal operators in two dimensional spaces
Applied Mathematics-a Journal of Chinese Universities Series B, 2019Co-Authors: Min Yi Huang, Yu Yang, Junde WuAbstract:The parity operator P and time reversal operator T are two important operators in the quantum theory, in particular, in the PT-Symmetric quantum theory. By using the concrete forms of P and T, we discuss their geometrical properties in two dimensional spaces. It is showed that if T is given, then all P links with the quadric surfaces; if P is given, then all T links with the quadric curves. Moreover, we give out the generalized unbroken PT-Symmetric Condition of an operator. The unbroken PT-symmetry of a Hermitian operator is also showed in this way.
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Biderivations of the higher rank Witt algebra without anti-Symmetric Condition
Open Mathematics, 2018Co-Authors: Xiaomin Tang, Yu YangAbstract:AbstractThe Witt algebra
Yajun Yin - One of the best experts on this subject based on the ideXlab platform.
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Geometric theory for adhering lipid vesicles.
Colloids and surfaces. B Biointerfaces, 2009Co-Authors: Yajun Yin, Jie YinAbstract:Abstract This paper aims at constructing a general mathematical model for the equilibrium theory of adhering lipid vesicles from a geometrical point of view. Based on the generalized potential functional, a few differential operators and their integral theorems on curved surfaces, the general normal and tangential equilibrium differential equations and boundary Conditions are given at the first time for inhomogeneous lipid vesicles. A general boundary Condition ψ ˙ = 2 ( w − γ / R ) / k c is first put forward including line tension. No assumptions are made either on the symmetry of the vesicle or on that of the substrate. The physical and biological meaning of the equilibrium differential equations and the boundary Conditions are discussed. Numerical simulation results based on the Helfrich energy for adhering lipid vesicles under the axial Symmetric Condition show the effectiveness and convenience of the present theory.
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Theoretical analysis of adhering lipid vesicles with free edges
Colloids and surfaces. B Biointerfaces, 2005Co-Authors: Hui-ji Shi, Yajun YinAbstract:A theoretical model for describing the adhesion of lipid vesicle with free edges is developed. For adhesion in contact potential or in finite-range potential, the total energy functional is defined as the sum of elastic free energy, the surface energy, the line tension energy and the contact potential or the long-ranged potential. The equilibrium differential equation and boundary Conditions for opening-up lipid vesicles are derived through minimizing the total energy functional. Numerical solutions to these equations are obtained under the axial Symmetric Condition. These numerical solutions can be used to qualitatively explain the influence of the substrate on the open-up lipid vesicles.
Jie Yin - One of the best experts on this subject based on the ideXlab platform.
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Geometric theory for adhering lipid vesicles.
Colloids and surfaces. B Biointerfaces, 2009Co-Authors: Yajun Yin, Jie YinAbstract:Abstract This paper aims at constructing a general mathematical model for the equilibrium theory of adhering lipid vesicles from a geometrical point of view. Based on the generalized potential functional, a few differential operators and their integral theorems on curved surfaces, the general normal and tangential equilibrium differential equations and boundary Conditions are given at the first time for inhomogeneous lipid vesicles. A general boundary Condition ψ ˙ = 2 ( w − γ / R ) / k c is first put forward including line tension. No assumptions are made either on the symmetry of the vesicle or on that of the substrate. The physical and biological meaning of the equilibrium differential equations and the boundary Conditions are discussed. Numerical simulation results based on the Helfrich energy for adhering lipid vesicles under the axial Symmetric Condition show the effectiveness and convenience of the present theory.
Lea Höfel - One of the best experts on this subject based on the ideXlab platform.
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Descriptive and evaluative judgment processes: Behavioral and electrophysiological indices of processing symmetry and aesthetics
Cognitive Affective & Behavioral Neuroscience, 2003Co-Authors: Thomas Jacobsen, Lea HöfelAbstract:Descriptive symmetry and evaluative aesthetic judgment processes were compared using identical stimuli in both judgment tasks. Electrophysiological activity was recorded while participants judged novel formal graphic patterns in a trial-by-trial cuing setting using binary responses (Symmetric, not Symmetric; beautiful, not beautiful). Judgment analyses of a Phase 1 test and main experiment performance resulted in individual models, as well as group models, of the participants’ judgment systems. Symmetry showed a strong positive correlation with beautiful judgments and was the most important cue. Descriptive judgments were performed faster than evaluative judgments. The ERPs revealed a phasic, early frontal negativity for the not-beautiful judgments. A sustained posterior negativity was observed in the Symmetric Condition. All Conditions showed late positive potentials (LPPs). Evaluative judgment LPPs revealed a more pronounced right lateralization. It is argued that the present aesthetic judgments engage a two-stage process consisting of early, anterior frontomedian impression formation after 300 msec and right-hemisphere evaluative categorization around 600 msec after onset of the graphic patterns.
