Questions tagged [big-picture]

Questions to get the "big picture" about a subject.

Instead of a single specific problem, you may wish to get an overview what a certain result is good for in the long run, or what in the (non-intrinsic) purpose or motivation of a certain area of research is, etc., that is you want to get the "big picture". The big-picture tag should not be used alone and is not an excuse for asking an overly broad question, though.

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Landmarks of subjects of mathematics

In order to have a good view of the whole mathematical landscape one might want to know a deep theorem from the main subjects (I think my view is too narrow so I want to extend it). For example in natural number theory it is good to know quadratic…
quanta
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Formulas without efficient algorithms?

Suppose the fastest known method to multiply two decimal numbers is an exponential time algorithm. Would it still be beneficial to mathematics having formulas like the following for positive integers? $$\sum_{i=1}^n i = \frac {n(n + 1)}{2}$$