1,307 karma · joined July 2, 2015
detex "$@" | wc
detex "$@" | tr -cs '[:alnum:]' '\n' | grep . | tr '[:upper:]' '[:lower:]' | sort | uniq -c | sort -rn- There were 108 suitors (we know this from the Odyssey 16.245-254 [1]).
- All that Homer told us is: They were gladdening their hearts at pessoi in front of the doors, sitting on the hides of oxen which they themselves had slain (the Odyssey 1.106-108 [2]).
- You can't have 108 sitting men play the same game of marbles.
IMHO, pessoi was a 1:1 game and it was not a board game.
[1] https://www.perseus.tufts.edu/hopper/text?doc=Hom.+Od.+16.24...
[2] https://www.perseus.tufts.edu/hopper/text?doc=Hom.+Od.+1.106...
A unit quaternion represents a rotation in R³.
A quaternion represents the quotient of two vectors in R³. That's what Hamilton had in mind.
Late advice: when making a viral image, put your URL on it :-)
[1] https://marcinciura.wordpress.com/2015/09/17/smiths-millers-...
IMHO, Euclid's definition of a straight line in today's terms would be "a line that has the same direction on its entire length". His definition of a plane angle would be "a plane angle is the difference between the directions of two straight lines that have a common end in one point".
What are Playfair's and Hilbert's definitions?
[1] https://marcinciura.wordpress.com/2015/11/17/slicing-earth-c...
In telecommunication and electronics, baud (/bɔːd/; symbol: Bd) is a common unit of measurement of symbol rate, which is one of the components that determine the speed of communication over a data channel. It is the unit for symbol rate or modulation rate in symbols per second or pulses per second.
I once answered this question for Polish [0]:
1. Find the Latin word for the color orange: "luteus".
2. Find Polish words corresponding to the Latin word in a scanned Latin-Polish dictionary from 1644.
3. Find Latin words corresponding to the Polish words in the Polish-Latin volume of the dictionary.
4. If new words found, GOTO 2
The main answer was "fawn", the color of deer. Besides "yellow-red" and "red-yellow", other words were based on red pine mushroom [1], fox, honey, fire, saffron, and gold.
[0] https://oslowach.wordpress.com/2018/11/17/jak-sie-przedtem-n...
First, in a printed book, it is easier to find a previous page and compare a fragment on it with the current fragment. Second, a printed book has no links tempting you with the words "CLICK ME" to disrupt the flow so you can read it from cover to cover with fewer distractions. Third, anecdotally, I can see flaws much easier on a printout than on screen, both in programs and in texts.
Happy New Year! :)
[0] https://news.ycombinator.com/item?id=25266072 [1] https://news.ycombinator.com/item?id=25263435 [2] https://marcinciura.files.wordpress.com/2019/10/cf-slides.pd...
By the
# Gauss-Kuzmin theorem [5, 6], a partial quotient in the
# continued fraction expansion of almost every number exceeds
# 1e+31 with probability log2(1+1e-31) =~= 1e-31/ln(2) =~=
# 1.5e-31. # Idealistically inclined folks, who would prefer their
# computations to hang rather than to yield a heuristic result,
# can achieve this effect by setting accuracy to a negative
# value.Here is a Python library that employs continued fractions to this end: [0]. You can pull successive partial quotients of the result from the root node of the dag. Whenever any node needs more precise input to deliver more precise output, it pulls a partial quotient from its argument(s).
Full disclosure: I wrote the original version of the library 13.5 years ago. Here are the slides from my talk about it: [1].
[0] https://github.com/AdamPrzybyla/python-cf
[1] https://marcinciura.files.wordpress.com/2019/10/cf-slides.pd...
Fair enough, tactics is fun, pretty, and rewarding. I like it, too, and do not advocate avoiding it. But if any of their games lasts till the endgame, it is usually the principles not the tactics that contributes to the victory.
> Modern chess engines have evolved towards simpler, faster evaluations
Alas, modern humans do not undergo Moore's law so your analogy to computer chess can as well be turned upside down: we ought to improve our evaluation function if we want to play better with the limited resources of our brain.
I tried to explain my (perhaps unorthodox) understanding of strategy and tactics in the last paragraph of my grandparent comment.
EDIT: Now I can see that I was framed into the tactics:strategy dichotomy by the answers to my top-level comment. To get a better verbalisation of my ideas, replace "strategy" with "principles" in all I wrote.
In my book, {avoiding hanging pieces, placing your pieces so that the opponent cannot pin them} ⊂ strategy, being wary of forks ∈ tactics.
> A Primer of Chess and Nimzowitsch's My System are targeted for IM/GM.
This is an interesting assertion. How about you take a peek into either book?