What does a term “space” mean in math? (Vector space, Metric space, Sample space and etc.)

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Anonymous 0 Comments

It refers to the set from which solutions to a given type of problem are drawn from.

If you are trying to factor a large integer, you could work in integer space, and that would allow you to ignore irrational and fractional numbers because by definition they can’t be solutions. You could further narrow your solution space down to positive integers and eventually to prime numbers. You may even to do some math and prove only certain kinds of prime numbers are possible factors.

That applies to many areas of math and science. You start with a space of all possible solutions, and start chipping away at it until you whittle it down to a manageable size.

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