A piecewise defined function is a function which is defined symbolically using two or more formulas
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Perpendicular
Science is defined by the use of the scientific method.
Equal intervals between points of that scale and a true zero
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.
A shape must have 4 sides in order to be a parallelogram (minus other defining characteristics a shape must have to be a parallelogram).