您能给每个至少有两个例子。谢谢你。

Could you please give at least two examples of each. Thanks.

推荐答案

数值的问题的是，其中有一个计算一些数值的数量。输入，输出，以及国家往往比范围在连续设置，如实数。一个例子是：计算有多高这个大炮将飞球，因为它的角度和初始速度。数值问题通常可以通过近似来解决。因为变量是连续的，因此存在这样平稳的假设：如果f（XA）过低，和F（X +α）过高，则f（x）是可能closr纠正。 （我可以在这里缺少正确的术语。）

Numerical problems are those in which there is a calculation of some numerical quantity. The inputs, outputs, and states tend to range over the continuous sets, such as the real numbers. An examples would be: calculate how high this cannon ball will fly, given its angle and initial velocity. Numerical problems can often be solved by approximation. Because the variables are continuous, there is an assumption of "smoothness" in that if f(x-a) is too low, and f(x+a) is too high, then f(x) is likely to be closr to correct. (I may be missing the proper terminology here.)

组合问题的是其中的输入，输出和国家往往在范围内的离散套​​。一个例子是：从一个计算有多少不同的路径为b有在该图中

Combinatorial problems are those in which the inputs, outputs and states tend to range over discrete sets. An example would be: calculate how many distinct paths from a to b there are in this graph.

请注意，很容易结合在一个单一的问题，每一个方面。例如，什么是从一个路径的平均长度为b？或者怎么样的黎曼zeta函数的任何非平凡零点的实部为0.5 HTTP ：//en.wikipedia.org/wiki/Riemann%5Fhypothesis

Note that it's easy to combine aspects of each in a single problem. For example, what is the average length of the paths from a to b? Or how about: "The real part of any non-trivial zero of the Riemann zeta function is 0.5" http://en.wikipedia.org/wiki/Riemann%5Fhypothesis.