The Design Team Analysis Analysis is about doing things properly. It is about rigorous proof. There is no hand waving in analysis.
Analysis comes in many different flavors.
A real number is any number on the number line. An irrational number is one that cannot be represented as a fraction. Try to classify each of the following real numbers. In ancient times, people were allegedly killed by the Pythagoreans for claiming the square root of two was irrational. One way to end arguments over things, is by rigorous proof.