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【有机化学学术报告】Access Molecular Complexity by Breaking Symmetry of Dicarbonyl Compounds（图）
Molecular Complexity Breaking Symmetry Dicarbonyl Compounds
2023/6/20
【有机化学学术报告】Access Molecular Complexity by Breaking Symmetry of Dicarbonyl Compounds
Forcing neurocontrollers to exploit sensory symmetry through hard-wired modularity in the game of Cellz
Structure coding scheme modular evolutionary system coding
2015/7/31
Several attempts have been made in the past to construct encoding schemes that allow modularity to emerge in evolving systems, but success is limited. We believe that in order to create successful and...
We show how to use subgroups of the symmetry group of a reversible Markov chain to give useful bounds on eigenvalues and their multiplicity. We supplement classical representation theoretic tools invo...
Spontaneous symmetry breaking in photonic lattices: Theory and experiment
Symmetry broken double - well waveguide symmetric potential galerkin truncation photonic crystal lattice
2014/12/29
We examine an example of spontaneous symmetry breaking in a double-well waveguide with a symmetric potential. The ground state of the system beyond a critical power becomes asymmetric. The effect is i...
Symmetry breaking in symmetric and asymmetric double-well potentials
Matter waves light beam the nonlinear schrodinger equation nonlinear solution attractive and nonlinear disturbances
2014/12/25
Motivated by recent experimental studies of matter waves and optical beams in double-well potentials, we study the corresponding solutions of the nonlinear Schrödinger equation. Using a Galerkin-...
Symmetry breaking in linearly coupled dynamical lattices
Two-dimensional model the linear coupling lattice weak coupling lattice
2014/12/25
We examine one- and two-dimensional models of linearly coupled lattices of the discrete-nonlinear-Schrödinger type. Analyzing ground states of the system with equal powers (norms) in the two comp...
SYMMETRY-BREAKING BIFURCATION IN NONLINEAR SCHRODINGER/GROSS-PITAEVSKII EQUATIONS
Nonlinear schrodinger mathematical modeling nonlinear optics macroscopic quantum phenomena the number of particles the mixed pattern
2014/12/25
We consider a class of nonlinear Schrödinger/Gross–Pitaeveskii (NLS-GP) equations, i.e., NLS with a linear potential. NLS-GP plays an important role in the mathematical modeling of nonlinear opti...
Two-dimensional paradigm for symmetry breaking: The nonlinear Schroumldinger equation with a four-well potential
Mechanical systems linear geometric properties nonlinear dynamic equations
2014/12/24
We present an experimentally realizable, simple mechanical system with linear interactions whose geometric nature leads to nontrivial, nonlinear dynamical equations. The equations of motion are derive...
Simple, asymptotically distribution-free, optimal tests for circular reflective symmetry about a known median direction
Circular statistics Fisher information singularity Rayleigh test for uniformity skewed distributions tests for symmetry
2013/4/28
In this paper, we propose optimal tests for circular reflective symmetry about a fixed median direction. The distributions against which optimality is achieved are the so-called k-sine-skewed distribu...
Optimal fold symmetry of LH2 rings on a photosynthetic membrane
LH2 rings a photosynthetic membrane
2014/9/24
An intriguing observation of photosynthetic light-harvesting systems is theN-fold symmetry of light-harvesting complex 2 (LH2) of purple bacteria. We calculate the optimal rotational configuration of ...
Composite likelihood estimation of sparse Gaussian graphical models with symmetry
Variable selection model selection penalized estimation Gaussian graphical model concentration matrix partial correlation matrix
2012/9/17
In this article, we discuss the composite likelihood estimation of sparse Gaussian graph-ical models. When there are symmetry constraints on the concentration matrix or partial correlation matrix, the...
Improving PSF calibration in confocal microscopic imaging---estimating and exploiting bilateral symmetry
confocal microscopic imaging PSF calibration estimating exploiting bilateral symmetry
2011/3/18
A method for estimating the axis of reflectional symmetry of an image $f(x,y)$ on the unit disc $D=\{(x,y):x^2+y^2\leq1\}$ is proposed, given that noisy data of $f(x,y)$ are observed on a discrete gri...
In this review we establish various connections between complex networks and symmetry. While special types of symmetries (e.g., automorphisms) are studied in detail within discrete mathematics for pa...
Complex Networks and Symmetry II: Reciprocity and Evolution of World Trade
complexity networks symmetry breaking
2010/10/21
We exploit the symmetry concepts developed in the companion review of this article to introduce a stochastic version of link reversal symmetry, which leads to an improved understanding of the reciproc...
Models of self-financing hedging strategies in illiquid markets: symmetry reductions and exact solutions
nonlinear PDEs illiquid markets option pricing invariant reductions
2010/10/21
We study the general model of self-financing trading strategies in illiquid markets introduced by Schoenbucher and Wilmott, 2000. A hedging strategy in the framework of this model satisfies a nonlinea...