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
Interesting.. Miracles that happen from time to time as reminders to the human beings on the existence of The Ultimate Power.
ReplyDeleteYour posts are very refreshing. Hope to read more of it in the future.
Regards,
One of your student.
This is a rather arbitrary statement which has been quoted by many, including "sophisticated people", including scientists. There is no evidence nor need for ultimate power, other than the fact that many people feel more comfortable by having a ruler, or, a reassuring father (and rarely, as, e.g. in the case of the queen, mother) figure.
ReplyDeleteThe fact is, however, that the concept of a miracle is a man-made invention which has been used for many purposes, including the need to control the masses.
There has never been a proof of a miracle. Miracles are currently used in America (and, increasingly, in other parts of the world) by so-called evangelists in order to make money from idiots or to brain-wash people, mostly young ones. Watch this.