这些算法主要是解决优化问题中的难解问题。
They are mainly applied to solve difficult optimization problems.
点覆盖问题是一个重要的有实际意义的难解问题。
Point covering problem is hard to solve with great actual value.
这本身并不是个难解决的问题。
我认为这个问题不太难解决。
I think the problem can be got over without too much difficulty.
这些问题很难解决。
贫困问题很难解决。
如处理得当，问题不难解决。
The problem will not be difficult to solve, if properly handled.
这是一个很难解决的问题。
不幸的是，我们在这样做时碰到了一些纠缠难解的问题。
这个问题更加明显一些并且比较容易检测，但却很难解释。
This problem is more obvious and thus easier to detect, but difficult to explain.
丢失或者不稳定的包信息可能是最难解决的问题。
Missing or inconsistent package information is probably the most difficult problem to solve.
针对系统的性能问题常常是非常难解决的。
A performance problem with a system is often very hard to solve.
这是一个很难解答的问题，因为它有那么多的答案。
It's a difficult question to tackle because there's so very much to it.
这些是很难解决和进退两难的问题。
所幸的是，这个问题不难解决(见清单6)。
Fortunately, it's not a difficult problem (see Listing 6) to fix.
有些问题很难解决。
笔者意识到这是一个很难解释的问题。
I have come to realize that this is a poorly worded question.
我们的文化很难解答这个问题。
在听证会上，美国驻伊拉克大使克罗克说，在伊拉克，几乎所有问题都很难解决。
At the same hearing, Ambassador Ryan Crocker said almost everything about Iraq is hard.
这两类问题不仅难于理解，更难解决。
These two types of problems can be difficult simply to understand, much less resolve.
由于还有几项重要的未知数，所以这问题的解答仍然晦涩难解。
如果没有SKIPLOCKEDDATA这样的数据库概念，这个问题是很难解决的。
Without a database concept such as SKIP LOCKED DATA, this problem is difficult to solve.
不过，在时间管理专家看来，这也并不是特别难解决的问题。
However, in the opinion of the time management expert, this also is not particularly difficult problem.
我发现很难解决这个问题。
这个问题对于初学者来说太难解决了。
至于其它社会问题，其实不难解决。
有些时候，我们往往为了解决一个问题，却因此制造了一个更难解决的难题。
Sometimes in order to solve a problem we create a bigger problem while solving it.
有些时候，我们往往为了解决一个问题，却因此制造了一个更难解决的难题。
Sometimes in order to solve a problem we create a bigger problem while solving it.
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