证明性的

Then the convergence of this algorithm is proved using the theory of probability.

用概率论有关理论证明了算法的收敛性。

Equivalence of invariant mean and topological invariant mean is showed by two methods.

用两种方法证明左不变平均和拓扑左不变的等价性。

The topological and geometry mapping between half-edge model and one of the other six shape models is proved.

4证明了半边模型与其它六种形状模型间的几何拓扑映射存在性。

The simulation and experiment results show the good performance for the system in torque,speed and robustness.

仿真和实验结果证明该系统具有很好的转矩、转速特性和鲁棒性。

So the proposed method is robust enough to geometric transformations, which is proved by experimental results.

试验结果也证明了这一点，且该水印具有良好的不可见性。

The structural stability of impact vibration systems was proven by means of the transversality theory.

本文利用横截性理论证明了碰撞振动系统的结构稳定性。

Chapter 5 proves the equivalence of Hopfield neural networks and Turing machine.

给出了用Hopfield网计算部分递归函数的构造性证明。

We begin by establishing the unbiasedness of OLS estimators under a set of assumptions.

首先，我们在一些假定下证明OLS 估计量的无偏性。

In this paper,several quasi-Newton algorithms are generalized to a class of new quasi-Newton equation,several modified quasi-Newton algorithm s are obtained and their global convergence are proved under the objective function is uniformly convex.

将几个拟牛顿算法推广到一类新拟牛顿方程，得到几个修正拟牛顿算法；在目标函数为一致凸的条件下，证明了它们都具有全局收敛性。

Under certain conditions, we prove the global convergence of the modified Broydens class of quasi-Newton methods for solving uniformly convex minimization problems.

并证明算法用于求解一致凸函数极小化问题时的全局收敛性。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。