The word 'defining' comes from a root word 'define', which means to precisely state something, or describe something precisely.
If you were defining the problem, you are precisely describing and stating the problem.
Since one of the categories for this question is Maths, I'd assume this can apply to maths also, in which case 'defining the problem' is working out what you actually have to figure out in the maths problem.
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Defining the problem.
choosing a variable to represent one of the unspecified numbers in a problem and using it to write expressions for the other unspecified numbers in the problem.
Defining the problem 2.gathering relevant information 3. presenting/organizing data 4.analyzing data 5. interpreting results
Gottfried Wilhelm Leibniz is credited with defining the standard notation for integrals.
For defining