10 June 2011

Informative signposts

I found this picture on the Internet.The signposts for Alexandoupoli/Feres/Soufli do the opposite of providing too little information.
The first post warns the driver to take the exit in 1000 m.
There is a second post 100 m further down.
Just in case the driver is absent-minded, there is a reminder that the exit is in 600 m.
And then there is another one 400 m before the exit.
Probably there is a final one at the exit, but the picture gets out of focus and I can't tell.
(Who said that Greek signposts are non-informative?)
Enjoy:


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T H E B O T T O M L I N E

What measure theory is about

It's about counting, but when things get too large.
Put otherwise, it's about addition of positive numbers, but when these numbers are far too many.

The principle of dynamic programming

max_{x,y} [f(x) + g(x,y)] = max_x [f(x) + max_y g(x,y)]

The bottom line

Nuestras horas son minutos cuando esperamos saber y siglos cuando sabemos lo que se puede aprender.
(Our hours are minutes when we wait to learn and centuries when we know what is to be learnt.) --António Machado

Αγεωμέτρητος μηδείς εισίτω.
(Those who do not know geometry may not enter.) --Plato

Sapere Aude! Habe Muth, dich deines eigenen Verstandes zu bedienen!
(Dare to know! Have courage to use your own reason!) --Kant