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An example of a Markov chain is a simple random walk where the state space is a set of vertices of a graph and the transition steps involve moving to any of the neighbors of the current vertex with equal probability (regardless of the history of the walk).

举一个马尔科夫链的简单例子-----随机移动。随机移动的状态空间是由一组结点够成的图，而状态的改变是因为从当前的结点以相等概率的方式移动到任意一个相邻结点。（而这种移动是与原先的随机移动没有关系的。

Imprison me all the life, tattoo on my body,regardless the life how to transmigrate, you still could find me...

把我终身监禁，在我身上刺字，无论命运怎样轮回，你都能找到我。

He thought that tribalism was bad for the country and that the most qualified people, regardless of their tribe, should get the best jobs.

他认为种族主义对这个国家很不利，不管种族如何，只有最合适的人才可以得到最好的工作。

Also, regarding claim interpretation, you must recognize that regardless of your opinion, or our opinion, the trier of fact will have their own opinion if a patent is taken to court.

另外，关于索赔的解释，你必须认识到，不管你的意见，或者我们认为，事实上特里尔将有自己的见解，如果一项专利被带到法庭。

The results indicate that when ignoring the surface energy,the relaxation degree increases with the increase of the aspect ratio regardless of the shape,among which the truncated pyramid quantum dots tend to become s...

计算结果表明，在不考虑表面能的情况下，当量子点高宽比增加时，弛豫度上升，并且发现平顶金字塔形量子点最先达到稳定；岛间距增大时，量子点内应变能下降，其中立方体形量子点应变能下降最快。

The results indicate that when ignoring the surface energy, the relaxation degree increases with the increase of the aspect ratio regardless of the shape, among which the truncated pyramid quantum dots tend to become steady earlier than others. With the increase of the inter-island distance, the strain energy in the dots decreases, especially in the cubic dots.

计算结果表明，在不考虑表面能的情况下，当量子点高宽比增加时，弛豫度上升，并且发现平顶金字塔形量子点最先达到稳定；岛间距增大时，量子点内应变能下降，其中立方体形量子点应变能下降最快。

Their udders were frequently ulcerated, but they would be milked regardless.

他们udders经常溃烂，但他们将挤奶不管。

Compares the system umbrella big plant former days's magnificence which these already closed go out of business, regardless of being the production scale, the efficiency, the product quality, they possibly are forever are unable to place on a par.

比起那些已经关门倒闭的制伞大厂昔日的辉煌，无论是生产的规模、效率，还是产品的质量，他们可能是永远无法相提并论的。

Regardless of what method is used to put execute a person, it's an uncivilized and barbaric act.

不管采用什么方式对人处死，都是一种不文明而野蛮的行径。

Are" always pushing for a ten" in each movement, even at the risk of creating resistance, whereas Klimke "settled for a six or seven" if that is all he thought he could accomplish with a relaxed horse I found this comment very disturbing, because it suggested a mentality of hyping the horse up, or pushing it beyond its physical limits, to get more "expression," which seems very unclassical in spirit regardless of whether the riding is technically correct.

我觉得这说法很招人烦，它暗示一种心理状态，你得设法让你的马 High 起来，或迫使马超出身体极限，有更大表现。上述这些，不管骑手的技术是否恰当，在精神上，都远远悖离了古典马术。

What would he tell Judith and the children?

他将怎样告诉朱迪丝和孩子们呢？

I this is at that time, the opinion with peacockish true girl is full of in a heart.

这就是当时的我，一个心中布满虚荣的女孩子真实的想法。