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edit Definition and Origin
The weekend is defined as a 48-hour period of continuous rain and/or severe weather.
Perhaps less familiar to the layman are the origins of its mathematical proof derivative, which lie in the equally equisite and complicated art of Ninjutsu. The Weekend Proof is commonly employed by Ninjas in battles against Pirates. Due to the alarming decrease in Pirate population as a result of global warming, Ninjas seeking to augment their pirate-hunting income have started to teach classes on the proof to the proletariat.
edit The Weekend Proof
The proof is sketched here, for all to enjoy and tremble before:
edit Lemma A12
But first, a quick refresher on lemma A12, previously left as an exercise for the reader:
This lemma, commonly known as the "French Weekend Lemma", will be assumed for the rest of this proof.
edit The Set W
Now, to begin! Let us define a set W of "days", where:
It is time to apply eons of secret ninja teachings, which cannot be revealed here. After hours of reflection and kitten petting, we eventually arrive at our definition of Z (or the days comprising "the weekend").
If you live in France, any day that ends in "Y" is part of the weekend. The number of weekend days in France that a person will see over her lifetime, N, can be summed up as follows:
If you live anywhere else, any day before which an office worker tells you that "you have the case of the Mondays", and the day before that also. The math is a bit trickier:
The above equation is a bit over-simplified; you often need to add a quantum-derived prime-factorized Taylor constant to get an accurate answer in N-space, where N > 3.