图K(r,2)的邻强边色数

本文给出了每部有2个点的完全r-部图(r≥2)的邻强边色数.     

Preparation of a two-state mixture of ultracold fermionic atoms with balanced population subject to the unstable magnetic field

We report a novel method to prepare a mixture of ~(40)K Fermi gas having an equal population of the two ground magnetic spin states confined in an optical dipole trap, in the presence of an noisy quantization(magnetic) field. We realize the equal population mixture by applying a series of RF pulses. We observe the dependence of the population distribution between two spin states on the number of the applied RF pulses and find that the decoherence effects leading to the population fluctuations are overcome by the high number of RF pules. Our demonstrated technique can be potentially used in the precision measurement experiments with ultracold gases in noisy environments.     

应用优化技术计算船舶斜浪中的扭矩外力

 从实用角度出发，应用优化技术，确定船舶斜浪中的平衡浮 态，在传统方法基础上更接近实际状态. 提出了一种船舶斜置于波 浪上的外力计算方法，编制了计算机程序. 另外，特别针对大开口 船舶其剖面扭心在基线以下的特点，计及了左右舷不对称横向力对 扭矩的贡献.     

弱脉冲光时域平衡零拍测量的实验研究

设计了一套可以用来测量弱脉冲光时域噪声信息的平衡零拍探测系统,通过对本底光散粒噪声基准的测量分析了该系统的各项性能指标,并且对弱相干光脉冲进行了正交位相振幅分量的噪声测量。     

极大代数上线性系统的3维最小实现的研究

研究了极大代数上线性系统的3维最小实现问题,给出了特征方程为λ<'3> c<,0>λ<'0>=c<,2>λ<'2> c<,1>λ,当c<,1>=c<'2><,2>,c<,0>=C<,1>C<,2>时,无穷序列{g<,2>}<,0><'∞>存在3维最小实现的充要条件.     

灵敏度控制思想在主动膜系设计中的快速实现算法

 基于斜入射薄膜制备实践中镀膜误差对光谱性能的严重退化影响的认识,提出了一种基于灵敏度控制思想的主动膜系设计方法。在深入分析了镀膜中膜层结构参数误差的分布规律的基础上,运用膜系光谱系数关于膜层参数的导数计算的解析模型,建立了膜系灵敏度的定量计算模型和快速实现算法。以一45°入射高精度消偏振增透膜的设计实验为例,探讨了灵敏度控制思想在膜系设计中的可行性、快速性和有效性。结果表明,这一新型设计方法不会显著增加程序时间消耗,能获得具有良好可镀制性能的薄膜,对于正入射和宽角度入射膜同样适用,而且可以避免昂贵的失败试镀和采样,有助于缩短新薄膜的生产周期,特别是对于高精度斜入射薄膜的重复性制备具有重要意义。     

Experimental implementation of a fixed-point duality quantum search algorithm in the nuclear magnetic resonance quantum system

In this work, we demonstrated a fixed-point quantum search algorithm in the nuclear magnetic resonance (NMR) system. We constructed the pulse sequences for the pivotal operations in the quantum search protocol. The experimental results agree well with the theoretical predictions. The generalization of the scheme to the arbitrary number of qubits has also been given.     

随机延迟微分方程的数值方法的收敛性和稳定性

本文研究了随机延迟微分方程的平衡方法的收敛性和均方稳定性.利用半鞅收敛定理,给出了真解的渐进稳定和均方稳定的一个更弱的条件.平衡方法下随机延迟微分方程的真解的均方稳定性.     

Linear Balanceable and Subcubic Balanceable Graphs*

In Math Program 55(1992), 129–168, Conforti and Rao conjectured that every balanced bipartite graph contains an edge that is not the unique chord of a cycle. We prove this conjecture for balanced bipartite graphs that do not contain a cycle of length 4 (also known as linear balanced bipartite graphs), and for balanced bipartite graphs whose maximum degree is at most 3. We in fact obtain results for more general classes, namely linear balanceable and subcubic balanceable graphs. Additionally, we prove that cubic balanced graphs contain a pair of twins, a result that was conjectured by Morris, Spiga, and Webb in ( Discrete Math 310(2010), 3228–3235).     

A globally convergent method for computing multiple vortices in a supersymmetric field theory

Computation of the solutions to the gauge field equations is known of great importance for the simulation of various particle physics systems. In this work, we establish a globally convergent iterative method for computing the multiple vortex solutions arising in a self-dual system of non-Abelian gauge field equations derived in a supersymmetric theory model. Using this method, we present a few numerical examples which demonstrate the effectiveness of the method and, at the same time, provide a concrete realization of the soliton-like behavior of the vortexlines concentrated around centers of vortices, which is believed to be essential for linear confinement in QCD.