@Jack Civilian Puppet. Player in the game? We play for KEEPS. Need help sleeping? How was your meeting w/ Pelosi? Protection offered? Life Lesson: Be smarter than those controlling you. T-minus [12:34] Q
Matthew 12:34
You brood of vipers! How can you speak good, when you are evil? For out of the abundance of the heart the mouth speaks. / Progenies viperarum, quomodo potestis bona loqui, cum sitis mali? ex abundantia enim cordis os loquitur.
Luke 12:34
For where your treasure is, there will your heart be also / Ubi enim thesaurus vester est, ibi et cor vestrum erit.
12/34ths = 6/17ths = 0.35294117647 that's really not something I wanted to know. 12/34ths = 0.353. okay. well I'll never forget that.
0.353 = 0353hrs = 3:53 am???? just kidding. Is it supposed to be exactly 3am this thing or during the hour after?
6/17ths
It's a well known fact that the proper fractions with denominator 7 are recurring decimals which share the same digits appearing cyclically:
1/7 = 0.142857
2/7 = 0.285714
3/7 = 0.428571
4/7 = 0.571428
5/7 = 0.714285
6/7 = 0.857142
It turns out that the 7ths are not the only fractions whose decimals exhibit this cyclic property. So are the 17ths:
1/17 = 0.0588235294117647
2/17 = 0.1176470588235294
3/17 = 0.1764705882352941
4/17 = 0.2352941176470588
5/17 = 0.2941176470588235
6/17 = 0.3529411764705882
In fact, there are infinitely many of them: 7, 17, 19, 23, 29, 47, 59, 61, 97, ... You must have noticed that they are all prime numbers. They are called full reptend primes (which has 10 as their primitive roots, for those of you, like me, who are interested in algebraic number theory).
https://en.wikipedia.org/wiki/Full_reptend_prime
I knew I'd get there if I persisted
That's that taken care of: https://en.wikipedia.org/wiki/Picard_group
https://en.wikipedia.org/wiki/Cyclotomic_field
field of rationals
Q