The theoretical analyses prove that the shortest path relative average path can rapid convergence and have no fluctuation.

从定性分析来看，最短路径相对平均路径能够快速收敛，而且波动很小。

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The two modes ensure the convergence to the target of the path.

这两种搜索模式保证了路径最终收敛到目标点。

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The existence and convergence of the homotopy path are proved, and efficiency of our method is illustrated by the numerical experimentations at last.

我们给出同伦路径的存在性和收敛性证明，并通过数值实验验证新算法的有效性。

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The World in 2030: Are we on the path to convergence or divergence?

FORBES: Global Trends 2030 With America At The Center

America eventually eradicated extractive southern institutions and placed the South on a path toward economic convergence.

ECONOMIST: Creating economic wealth

Apple is going down the path to make the product line consistent in functionality, which also plays into the convergence of smartphones to tablets.

FORBES: Apple, Google and "Smart Devices"