"so you're me and you're in a math class..."

( Snakes + Graphs )

[позаимствовано отсюда, сам не проверял]
Задача. Докажите, что тринадцатое число месяца с большей вероятностью приходится на пятницу, чем на другие дни недели.
(Предполагается, что мы живем по Григорианскому стилю)

( Решение )

Mercredi dernier (le 14 mars), c'était la journée de Pi. Et j'ai loupé ça. Pour me consoler, demain, je mangerai du gateau.
Journée de Pi, c'est quoi ?
Je suis tombée dessus par hasard, sur la page d'accueil de Wikipédia. J'ai donc appris ça.

Et je suis super jalouse !! Il y a des laboratoires de Maths où le 14 mars à 1h59 du matin, on se réunit pour ( Read more... )

1. (TOPIC) for Scientists and Engineers What Mom would think: Wow! This must be super-difficult! True translation: The definitions are pure hand-waving. There are no proofs. Some theorems are actually false in degenerate cases. Light reading. 2. (TOPIC) What Mom would think: Tough call, but a good chance this book is medium-hard in ( Read more... )

Analysis:
1) Differentiate it and put into the refrig.
Then integrate it in the refrig.
2) Redefine the measure on the referigerator (or the elephant).
3) Apply the Banach-Tarsky theorem.

Number theory:
1) First factorize, second multiply.
2) Use induction. You can always squeeze a bit more in.

Algebra:
1) Step 1. Show that the parts of it can be ( Read more... )