From 10-35 to 1027
- A very nice zoom-in/zoom-out gadget showing, in a nutshell, what's in the universe at all scales, from the size of the universe itself down to Planck's length. Click here and then on "play" (from 1027 to 10-35).
- This one is specific for biological objects (from 10-2 to 10-12).
- And here is a zoom-in into Mandelbrot's set 10214 times (this is more exponents than in 1. and 2. above).
(All taken from
a Nadder!)
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
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