In allusion to traveling salesman problem existing in the Euclidean space,the strategy,simplifying the initial edge set,is put forwards to improve the efficiency of the algorithm.
针对欧氏空间的旅行商问题求解,提出了通过化简初始边集的策略,改善算法的求解效率,通过实验说明了该策略的有效性。
I began to concentrate all of my research on birds and their songs.
我开始集中精力研究鸟和鸟的歌声。
Since I was still a middle school student, I began to collect stamp.
当我还是中学生时就开始集邮。
A thin coat of vapor began to collect.
薄薄的一层蒸气开始集聚起来。
start a fund for a new natural science building
为建立一所新的自然科学馆开始集资
The cluster node is already up.
群集节点已经开始。
When did stamp collecting begin?
集邮是什么时候开始的？
Failed to call initialize on the cluster config initiliaze interface.
未能在群集配置初始化接口上调用初始化。
many people all over the world have enjoyed collecting stamps.
全世界许多人开始喜欢收集邮票。
She took one of them and began to gather hay.
再拿其中一把，开始收集秣草。
Watt Industries began to subsidize half the price of each meal.
瓦特集团开始每餐都补一半的钱，
The captain shouted,"Fall in!" just as the parade was about to begin.
游行就要开始时，上尉喊道：“集合
So they set themselves to collect information about it.
于是他们开始搜集有关资料。
We began packing the freight cars much more tightly.
我们开始把货运汽车装得更加密集。
I sat down and opened the Pirate book and began to read,
我坐下，打开那本《海盗集》，开始念了，
My interest in stamp collecting dates from my schoolday.
我集邮的兴趣始于学生时代。
My interest in stamp collecting dates from my schooldays
我集邮的兴趣始自于学生时代。
Gather the men together and we'll start the march.
把人集合起来然,后我们将开始启程。
You may want to start a butterfly collection of your own,
你也许会开始自己的蝴蝶收集，