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# n is an integer, the number of quantization steps of the 4-tuple [w, x, y, z] | |
def quantize(w, x, y, z, n) : | |
if z == None : | |
z = 1.0 - w - x - y | |
#assert w + x + y + z == 1 | |
n = int(n) | |
v = [w, x, y, z] | |
vn = [a * n for a in v] | |
vni = [int(a) for a in vn] |
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def quantize(w, x, y, z, n) : | |
if z == None : | |
z = 1.0 - w - x - y | |
n = int(n) | |
v = [w, x, y, z] | |
vn = [a * n for a in v] | |
vni = [int(a) for a in vn] | |
vnf = [a - ai for a, ai in zip(vn, vni)] |
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# count 4x4 mazes (spanning trees) using Kirchoff's theorem | |
import numpy as np | |
# Vertices: | |
# 0 1 2 3 | |
# 4 5 6 7 | |
# 8 9 10 11 | |
# 12 13 14 15 |
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num = 1 | |
while True: | |
if num % 3 == 1 and num % 4 == 2 and num % 5 == 3 and num % 6 == 4: | |
print num | |
break | |
num += 1 |
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num = 1 | |
while True: | |
rems = (num % 3, num % 4, num % 5, num % 6) | |
print num, rems | |
if rems == (1, 2, 3, 4): | |
print num | |
break | |
num += 1 |
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# Example of Todd-Coxeter to compute S_3 from relations | |
idents = [] | |
neighbors = [] | |
to_visit = [] | |
visited = set() | |
op_dir = [1, 0, 3, 2] | |
def find(c): |
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# Example of Todd-Coxeter to compute S_3 from relations | |
idents = [] | |
neighbors = [] | |
to_visit = 0 | |
ngens = 2 | |
def op_dir(d): | |
return d+1-2*(d%2) |
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^Did you know that (the (fall|spring) equinox|the (winter|summer) (solstice|Olympics)|the (earliest|latest) (sunrise|sunset)|daylight savings? time|leap (day|year)|Easter|the (harvest|super|blood) moon|Toyota truck month|shark week) (happens (earlier|later|at the wrong time) every year|drifts out of sync with the (sun|moon|zodiac|(Gregorian|Mayan|lunar|iPhone) calendar|atomic clock in Colorado)|might (not happen|happen twice) this year) because of (time zone legislation in (Indiana|Arizona|Russia)|a decree by the pope in the 1500s|(precession|libration|nutation|libation|eccentricity|obliquity) of the (moon|sun|Earth's axis|equator|prime meridian|(international date|Mason-Dixon) line)|magnetic field reversal|an arbitray decision by (Benjamin Franklin|Isaac Newton|FDR))\? Apparently (it causes a predictable increase in car accidents|that's why we have leap seconds|scientists are really worried|it was even more extreme during the (bronze age|ice age|Cretaceous|1990s)|there's a proposal to fix it, but it (will ne |
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<?php | |
$parts = explode("\n", $_POST['msg'], 2); | |
$msg = $parts[0]; | |
if (strlen($msg) > 0) { | |
$f = fopen("messages.txt", "a") or die("Unable to open file"); | |
fwrite($f, $msg . "\n"); | |
fclose($f); | |
} | |
echo "Success"; |
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See https://codegolf.stackexchange.com/a/203682/78112 | |
This is a description of Anders Kaseorg's solution to the code golf problem of making a program in FRACTRAN | |
that detects whether or not the Collatz sequence starting from the given number eventually reaches 1. | |
FRACTRAN programs can be thought of as being a list of chemical reactions with no catalysts (chemical | |
species that appear as both reagents and products). Given a fraction c/d, the prime factors present | |
in d (with multiplicity) are the reagent species, and the prime factors present in c (with | |
multiplicity) are the product species. Since fractions are reduced, a species is only ever either a | |
reagent or a product in a given reaction. |
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