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By using center manifold theorem and normal form of maps, we also present formal proofs of the supercritical flip bifurcation at the bifurcation point. Above this threshold, there is a characteristic sequence of bifurcations, leading to chaotic dynamics, which implies that the dynamical behavior of the single species model with birth pulses are very complex.

利用单参数族映射的中心流形定理、正规型和指数积分函数的性质,得到了具非线性出生率或具密度依赖成熟率的混杂矩阵模型正平衡态的存在性和稳定性、超临界分支以及各种复杂现象甚至混沌。

The most important thing is to learn how to input matrix, the use of : operator, and how the function call.

最重要的是要学习如何输入矩阵,如何使用:算子,以及如何调用函数。

In order to locate direct singular positions, we begin by expressing the determinant of the Jacobian matrix Jx in terms of position of the center P of the moving platform. The Z and the Y coordinates of P may be chosen from the workspace, then the determinant of Jx is now a six order polynomial of X, the x coordinate of P. The direct singular positions corresponding to are obtained by solving the polynomial equation, and retaining all real roots in the workspace.

由速度分析的Jacobian矩阵Jx,将其行列式值表示成活动平台中心点P位置的函数,寻找奇异位置的方法是先假设平台高度,再假设工作空间内P点的Y座标,使Jx行列式成为P点X座标的六次方程式,求解方程式并保留在工作空间内之实根。

In the frame of Random Matrix Theory,the statistic functions of therandom orthogonal unitary vectors are calculated.It is shown that their means andfluctuations will tend to zero with the increase of N,while following thescaling laws.

在随机矩阵理论的框架内,我们数值地计算了随机的正交归一矢量的这两个统计函数,发现它们的平均值和涨落随N(N=1/h)的增大而趋于0,并且有明显的标度关系。

Based on the fact that the h〓 and h〓 of a 2-band PR-QMF and their evenshifted versions make an orthonormal basis in L〓, a class of N×N matrices were constructed.

利用两子带PR-QMF的h〓和h〓及其偶数平移构成L〓上的基函数这一事实,构造了一类N×N的正交矩阵。

According to the properties of deformation and force of orthotropy plates in construction,a super element is set forward,that is the plate element with costalias .

根据构造正交异性板单元的变形和受力特征,提出了一种超级单元:带肋板单元,给出了这种单元的形函数及其单元刚度矩阵。

Based on the general Q-learning algorithm, the game theory was introduced and the payoff function of Q-values was used to build the payoff matrix.

在基本Q学习算法的基础上引入博弈论,以Q值作为赢得函数建立赢得矩阵。

In the algorithm, a three-dimensional permute matrix of binary variables is used to map the problem to the neural network, the energy function including object item and overlap constrained item is presented, and then iteration procedure is put into practice with the mean annealing equation.

提出了一个基于均场退火方法的任意单元布局算法,用一个三维二值换位矩阵将问题映射为神经网络,建立包含重叠约束和优化目标的能量函数,再用均场退火方程迭代求解。

In the algorithm, a three-dimensional permute matrix of binary variables is used to map the problem to the neural network, the energy function including object item, overlap constrained item and timing constrained item is presented, and then iteration procedure is put into practice with the mean annealing equations.

算法用一个三维二值换位矩阵将问题映射为神经网络,建立包含时延约束、重叠约束和优化目标的能量函数,再用均场退火方程迭代求解。

In the algorithm,with a three-dimensional permute matrix of binary variablesubeing used to map the problem to the neural network,the energy function including object item,overlap constrained item and timing constrained item,is presented,and then iteration procedure is put into practice with the mean annealing equation.

算法用一个三维二值换位矩阵将问题映射为神经网络,建立包含时延约束、重叠约束和优化目标的能量函数,再用均场退火方程迭代求解。

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你知道吗,我需要你回来

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