In this period, I’m studying natural language processing and its applications. One of my favourite tricks is generating text which reminds someone’s style. For example, here I will show an AI (trained for 100 minutes and just two epochs) that has learned to fake Dante’s Divine Comedy. import tensorflow as tffrom tensorflow import kerasimport numpy […]
Month: February 2021
Cyclic Pentagon And Nice Angles
We have a cyclic pentagon, such that AE is a diameter and equals 10. We know and . Now F, G, H, I are the feet of the perpendiculars from C to AB, EB, AD, ED. If FG and HI concur at J, find FJI. Now, let K be the foot of the perpendicular from […]
500 Miles High
First of all, R.I.P. Chick Corea. He’s recently passed away, and I cannot explain how sad it’s been for me to hear such terrible news. He’s been my primary source of inspiration in my path through jazz music. His memory will live forever, through the beautiful pieces and performances he’s left to us. So, I […]
Problem 7, Combinatorics
I proposed this problem in the last mathematical competition hosted on the Italian ‘gasmatematica’ website. The numbers from 000 to 999 must be put into some boxes, numbered from 00 to 99. If the label of a box is equal to a number with one digit removed, then the number can be put in that […]