What is the difference between combinatorial and numerical problems

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

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Numerical problems are those in which there is a calculation of some numerical value. Inputs, outputs, and states tend to range in continuous sets, such as real numbers. Examples are: calculate how tall this cannon ball is, given its angle and initial speed. Numerical problems can often be solved by approximation. Since the variables are continuous, there is an assumption of "smoothness" in that if f (xa) is too low and f (x + a) is too large, then f (x) is likely to be fixed. (There may not be appropriate terminology here.)

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Source: https://habr.com/ru/post/1725454/


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