A happy number is a number defined by the following process: Starting with any positive integer, replace the number by the sum of the squares of its digits, and repeat the process until the number equals 1 (where it will stay), or it loops endlessly in a cycle which does not include 1. Those numbers for which this process ends in 1 are happy numbers, while those that do not end in 1 are unhappy numbers (or sad numbers).
Mathematics instruction should concentrate less on the low-level use of high-level ideas and more on the high-level use of low-level ideas.
So, I think the hardest thing I learned in mathematics was perseverance and patience, and this is the nature of mathematics. Math is very binary. It’s usually nothing, nothing, nothing, nothing, nothing… and then everything, you’ve got it. It’s also very humbling because, once you’ve got it, you realize it looks so obvious. So, you’ve got some humiliating experience like, ‘Oh, why didn’t I get that in the first place?’ But that’s what I learned, that’s the nature of mathematics.
"I looked at my hand and my little finger was gone – the bone was sticking out. It’s the weirdest feeling; one second you’re fine and your little finger is there, and the next second it’s gone. It shoves reality up your backside. I was in so much pain and shock that the first thing that hit my head was the beat and the bass. The bass was hard, so I just ripped off my top, wrapped it around my finger and tied it up as tight as I could and skanked it out for half an hour. My mentality was, ‘I’ve only been here for an hour, I’ve paid £10 for this night, I’ve lost my little finger – am I seriously going to go? Nah, I’m going to skank until I can’t skank any more.’ After that, my mate dragged me down to the paramedics."
Friends later told him that a “bunch of stoners found [his] little finger and were playing catch with it.”
now THAT’S what i call a party
- Ryan: It tastes like dead children.
- Michael: How many times have you tasted that before?
- Ryan: You can't just open up the book of my life to the middle.
With some loss of generality, but not much
Achievement Hunter: Tower of Pimps Wins ~ Each gold block is one win