微分的

We give another form of the infinitesimal time translation operator in algebraic dynamical algorithm so that it is more easy to use new operator to solve evolution equations.

我们给出了求解偏微分演化方程的代数动力学解法中关于时间平移的无穷小算子的构造的另一个形式，使得在应用代数动力学方法求解偏微分方程时更简洁更方便。

The results of experiments show that the neural network algorithm solving differential equations with the initial value problem can establish mathematical model, which can be calculated any given point of function, which is any difference method can not do.

针对微分方程初值问题的求解，论文探索性研究了求解微分方程初值问题的神经网络模型算法，并分析了算法的收敛性，为神经网络学习率大小的确定建立了理论依据。

The integral inequality is a useful tool when we study the stability theory of differential equation, especially when we study the stability, the estimate of solution and the boundedness of differential equation.

在研究微分方程稳定性理论中，尤其在探讨微分方程的稳定性，解的估计及有界性的过程中，积分不等式是一强有力的工具。

In the method,thematrix exponential is calculated precisely by using 2N algorithm and the integration offunctional matrix by parts is applied.

首先依据常微分方程的经典理论，运用指数矩阵的2N类精细算法及函数矩阵的分部积分法建立数值求解常微分方程的一般方法。

In the case of simply supported ends, the Galerkin method is used to simplify the integro-partial-differential equation into an integro -differential equation. The equation is further simplified into a set of ordinary differential equations by introducing an additional variable. Finally, the numerical methods in modern nonlinear dynamics such as phase plane trajectory, power spectrum and Lyapunov exponents are adopted to investigate the dynamical behavior of the beam.

对于两端简支的情形，采用Galerkin方法简化为常微分－积分方程；然后通过引进附加变量的方法进一步简化为常微分方程；最后利用相平面图、功率谱和Lyapunov指数等非线性动力学中的数值方法识别梁的动力学行为。

Based on the source investigation and the comparative approach of history of mathematics,a historical background of Gauss' competition essay and its contribution to intrinsic differential geometry are discussed.

高斯(C.F.Gauss，1777-1855)研究微分几何的出发点是"我们是否可以从曲面本身的度量出发决定曲面在空间的形状"[1]，这就是所谓的内蕴微分几何。

Application of HHGL to lithium atom As a starting point for exactly solving schrodingerequation for lithium,the part has twofold purpose,one isto derive the coupled hyperradial differential equation,and discuss whether HHGL can be used or not,the other isto build the symmetric basis functionfor twodimensional irreducible representation of 〓 permutationgroup and estimate the ground-state eigenenergy.

首先根据Pauli原理的要求，将N电子原子的波函数向〓群不可约表示之基展开，积分掉角度部分，推导出N电子原子的超球径耦合微分方程，其形式与氦原子耦合微分方程相似，差别表现在矩阵元〓的计算上。

By this method, the vibration solution can be obtained in the form of power series and the iterative computation is not needed.

本文首次将幂级数求解变系数微分方程的方法引入齿轮振动方程的求解中，从而不需要将齿轮变啮合刚度分段常数化和反复迭代求解，就可以求出齿轮的振动微分方程的解。

Furthermore,we find that the total time derivative of a function in Lagrangian has some relationship with phase factor of the wave function.

而且在具体计算过程中，我们发现在经典Lagrange量中的全微分项与波函数的相位有一定关联，但我们知道Lagrange量中的全微分项对其所对应的经典运动方程并没有影响，它可以在经典力学中被任意地舍去。

Chapter 3 is devoted to equistability and equiboundedness of matrix differential equations by making use of the symbol property of the matrix Liapunov function and its Dini derivate on specific set.

第三章研究了矩阵微分方程的渐近行为，给出了直接运用矩阵Liapunov函数在某特定集合上的符号与其广义Dini导数符号的性质研究矩阵微分方程的稳定性和有界性。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。