855 karma · joined February 20, 2008
And you do need to memorize techniques - the only issue is that the techniques you need to memorize are at a much higher level than you are currently being taught. Techniques include "induction", "contradiction", "diagonalization", "construction", etc. Mathematics is a toolset, and the techniques and facts you learn are the tools required. They are beautiful in themselves, and can bootstrap to better tools, but if you aren't a mathematician then you should be memorizing solution techniques, just at a higher level than you currently are.
The word gets used as if it's well defined, but I have never heard a non-metaphorical description. "A war fought in cyberspace"? That means nothing. "A shootout on the info superhighway"? That means even less.
The paper is pretty poorly written for two reasons: English is clearly not this guy's first language (no crime there, as it is said that the language of science is "heavily accented english") but he is also using a little too much handwaving for my comfort. This is a pretty math-heavy result, and this is not an airtight proof in any sense.
Basically: I agree with everything you said about it not being compelling enough for me to spend more time with it.
Fun fact so that I'll say more than "I agree": if GI is in P, the the polynomial hierarchy collapses to a level that I forget, and if GI is NPC it collapses to a PI_2! Neat!
And that's if you can get a $12/hour job in the current economy. Working halftime certainly can make a little dent in your debt, but it also makes it hard to take a full load of hard classes.
Coding for classes should be done quickly and exploratively. But because students either can't code fast or won't code before they have the whole solution mapped out, this (measurably better) solution technique is unavailable to them.
To get to graduate school, you'll need at least a 3.0 and good recommendations. The good recommendations is pretty easy at a place like Olin as long as you are enthusiastic, but the 3.0 may be difficult given the average GPA at Olin in combination with point 1.
You can have any two of: friends, grades, and sleep. I recommend the first two, but make sure you sleep enough to maintain a baseline of bodily health, or else you will lose out on all 3.
And how about that price collusion, eh? They've gone up by a factor of 2 in a year for no reason at all related to either CAPEX or OPEX...
"Difficult" and "Easy" are moving targets.