The fact that there is no polynomial time integer factorization algorithm is
something that will never not be suprising to me. All of the related problems
are polytime. Primality testing is polytime. GCD is polytime. So why not
integer factorization? Perhaps a polytime integer factorization algorithm
exists based on GCD or on primality testing.
I bought a Chromebook Pixel from 2013 during the Summer of 2016 since I wanted
a new laptop, and these had deprecated in value incredibly considering they
were $1200-1500 when they launched. I picked up the 64GB model for about $400.
There are a lot of issues with this laptop and maybe I won’t do the
same thing again. The display is incredibly bright and the image can often burn
in if left on for too long. There is basically no cooling on this machine, so
it was constantly at 85 celsius (I found a fix for this later) and the battery
life was pretty terrible. My old C720, I could easily get 12 or 13 hours out of
the thing. I have to charge this every day and be lucky to get 4 hours. Maybe I
was just spoiled. I do like the 4:3 aspect ratio. It makes having two windows
that partition the screen vertically more comfortable on a laptop. The
resolution is also somewhat wasted on me. The fonts I mostly use are usually
all monospaced and pixel perfect, so I don’t see an upgrade for 95% of what I
do on this machine, but PDFs and webpages look like real paper, which is kinda
neat I guess.
One of the counterexamples that was proposed by Cauchy to LaGranges functional idea was . This function, when integrated only has a series solution that cannot be represented by aanother function. You can however, evaluate it as a definite integral from to
I’ve been messing around with my rubix cube and have seen a few different ways to solve it. This is just going to be my list of algorithms in case I forget, so I can so I can come back and remember them.First You have your cube scrambled. Pick a face and solve the cross on top. Then slip in the proper corner pieces. Then do the following algorithm to slot in a piece from the bottom side to the front-left slot.
So you start on your eternal quest for what is truth. You decide to enroll at a University since they seem to know a lot over there. You start at the Art department since its the prettiest building. You sit in a class but no one seems to be interested in giving any answers. People only ask questions for the sake of asking questions, as if thats the only thing to do. When you ask why no one tries to answer anything, they simply say “Not our department”, and then shove you in the direction of Philosophy.