逼近的

We also give some conservation and convergence analysis for the Dirac equation and the Korteweg-de Vries equation.

在第七章中，我们建立了全直线上不带权的Legendre有理谱逼近，并以Dirac方程作为实例，证明了谱格式的守恒性和收敛性。数值结果表明了算法是有效的。

However, to establish global convergence for these latter methods, one must enforce either sufficient decrease conditions (the Armijo-Goldstein-Wolfe conditions)or a fraction of Cauchy decrease condition - all of which rely on explicit numerical function values, as well as explicit approximations to the directional derivative at the current iterate.

但是，为了保证后面方法的全局收敛，必须有足够的减少条件（Armijo-Goldstein-Wolfe条件）或者部分柯西减少条件——它们全都依赖于外在的数值函数值，就和在当前迭代逼近方向导数一样。

This paper is devoted to the existence and multiplicity of the solutions of the homogenous Dirichlet problem for a nonlinear singular elliptic equation with natural growth in the gradient.

研究一类具奇性和退化性的非线性椭圆方程Dirichlet问题，通过构造适当的逼近问题并结合紧致方法，证明了解的存在性和多重性。

The kernel is adding a discontinuous function for the standard approximation to account for the crack. A feasible technique is adopted for dealing with multiple cracks and intersecting cracks.

本文研究扩展有限元方法，通过改进标准有限元的单元逼近函数，使之能够表达单元内的几何不连续，从而实现切割和断裂的模拟。

Through the polynomial approximation to function, resulting in more than a Peano-type and Lagrange remainder of the Taylor formula, using elementary functions Maclaurin expansions to address the limits and the approximate evaluation of the problem.

通过多项式来逼近函数，从而得到带有佩亚诺型余项和拉格朗日余项的泰勒公式，利用初等函数的麦克劳林展开式来解决极限及近似求值的问题。

Finally, we discuss that the combination of conforming quadrilateral Q\ element and nonconforming quasi-Wilson element on anisotropic meshes. The error estimates of the energy norm and L~2-norm are obtained, which are the same as those of the traditional methods.

最后，本文研究了逼近空间取为协调的四边形Q_1元和非协调类Wilson元的情况，同样在剖分网格不满足正则性条件下，得到了与传统方法相同的能量模和L~2模误差估计。

According to optical theory of distortion and utilizing BP neural network to approach nonlinear distortion, distortion correction mathematic model of whole field was set up through training the distortion measurement data which were measured by distortion detection device. This device has eleven equidistance points of laser goals and is designed based on the basis of distortion mechanism and radical character.

根据畸变光学原理，利用BP神经网络对非线性畸变进行良好的逼近，通过对由畸变测量装置获得的数据进行训练建立网络模型，从而建立整个视场畸变校正的数学模型。

This thesis research is to develop a new method named "equivalent capacitance approximation" for studying the equivalent circuitry and system power of operating organic light-emitting devices.

中文摘要本论文研究是使用新发展的等效电容逼近法来探讨有机半导体发光元件的等效电路阻抗及负载功率的量化。

The expressions of polynomial and neural network are used to approximate angular error, it is demonstrated that the variance error by using neural network is smaller, which raises a higher request on the performance of the computer.

本文研究了误差模型的存贮方式问题，对于误差拟合采用了多项式法和神经网络方法，神经网络法的逼近程度高，但对计算机的性能要求也高。

The decoding efficiency can be raised approaching to the performance of register exchange algorithm as constraint length increases.

改良后的解码效率随著强制长度的增加可以逼近暂存器交换法的解码效率。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。