速度函数

Based on the concept of zero-path tracking in homotopy which is generalized into minimum of energy function path tracking and considering that different homotopy path has greater impacts on convergence speed, a new method is put forward——the non-line homotopic BP algorithm.

本文在将同伦论中的零点路径跟踪概念推广到对多层前馈神经网络能量函数极小点路径跟踪的基础上，注意到不同的同伦路径对收敛速度的影响，提出了一种改进算法——非线性同伦BP算法。

The velocity potential is expanded about the still water level with the coefficients being the functions of horizontal coordinates.

将速度势沿静水面位置展开，其系数是水平位置的函数。

The algorithm is established by introducing a hyperbolic tangent function relation between step size and signal error. The contradiction between the convergence speed and maladjustment error is thus solved.

通过建立步长因子与误差信号的双曲正切函数关系改进LMS算法，解决了固定步长时收敛速度和稳态误差间的矛盾。

Firstly, two covering hypersphere algorithms were proposed, referred to as minimum volume covering hypersphere algorithm and moving medium centers covering hypersphere algorithm, to heuristically and rapidly select the promising hidden center vectors from all the training samples. Then the particle swarm optimization algorithm combined with recursive orthogonal least square algorithm was used to further prune the initial hidden centers and optimize the control parameters.

为在实际应用中加速优化速度，降低优化计算复杂度，首先提出了最小体积覆盖超球和移动平均中心覆盖超球两种算法，用于启发式的从训练样本中快速的初选出径向基概率神经网络的隐中心矢量，然后将粒子群优化算法和 ROLSA 结合进一步优选隐中心矢量，同时优化核函数控制参数，实现径向基概率神经网络的全结构优化。

The experimental results indicate that the LMBP neural network has higher classification rate, more rapidly converge velocity by comparing with other improved BP algorithm and the Radial Basis Function neural network. Through the experiments of recognizing the sonar image polluted with Gaussian noise, it is proved that the LMBP neural network has good stability and better anti-noise performance.

通过与标准BP算法和几种常用改进型BP神经网络以及径向基函数网络比较，验证了用LMBP神经网络作为声纳图像识别系统中的分类器，能够提高图像的识别率，加快网络的收敛速度，通过对受不同程度高斯白噪声污染的声纳图象的识别，验证了其性能稳定，具有较好的抗噪声性能。

The RBF, therefore, outperformed the BP in terms of the prediction accuracy. The result shows that the RBFN and BPN can be successfully applied to build the relation of the incidence of stripe rust and meteorological data.

可见人工神经网络用于小麦条锈病的预测是可行的，并且逼近能力、分类能力和学习速度等方面均优于BP网络的径向基函数网络的预测效果更佳。

The boundary singular kernel method and modified penalty method are utilized to treat the velocity boundary conditions and incompressibility constraint, respectively. The arc-tangential friction model is employed to treat the contact conditions.

分别采用边界奇异权法和修正的罚函数法处理速度边界条件和体积不可压缩条件，采用反正切摩擦模型处理摩擦边界条件，推导了金属三维塑性成形过程EFGM法数值模拟的刚度方程，给出了关键算法。

Most of the methods are inline for speed.

大多数方法是内联函数以加快速度。

In fact, just the opposite can happen: If inlining increases a calling function's size it will reduce that caller's locality of reference, which means that overall program speed can actually worsen if the caller's inner loop no longer fits in the processor's cache.

实际上，相反的情况很可能发生：如果内嵌增加了掉用其的函数的大小则相应的调用者的引用范围会减小，意味着在当处理器的高速缓存容不下调用者的内层循环了时，程序的整体执行速度实际上降低了。

How it behaves at 55 will be some interpolated function of what it does at 50 and 60 mph.

它在这个速度上的表性，基本上是它在50英里和60英里的时候的表现某种插值函数。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷