First of all we have to understand what is a mathematical problem.
It is typically a string which seek for more processing.
Like
If x+y=3 and x-y=1 then x=? y=?
Solving this problem means process this string/pattern till all questions resolved [ i.e Remove ? in this case ]
So basically mathematics is a mapping from set of Problem statement A[say] to a set Of Solution B [say] under the Rule(s) S.
Thus,
Mathematical problem M(say) | A---->B
S
Or M | (A⨯S) ---- > B
It is typically a string which seek for more processing.
Like
If x+y=3 and x-y=1 then x=? y=?
Solving this problem means process this string/pattern till all questions resolved [ i.e Remove ? in this case ]
So basically mathematics is a mapping from set of Problem statement A[say] to a set Of Solution B [say] under the Rule(s) S.
Thus,
Mathematical problem M(say) | A---->B
S
Or M | (A⨯S) ---- > B
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