This is just a place I can be to escape from the pressures of reality. Anybody that has a carefree blog of just living a simple life, I'd love to see it! I'm trying to find out how I'm going to live my life in the future. Currently it seems like it will be very laid back.

What’s the worst thing I’ve stolen? Probably little pieces of other people’s lives. Where I’ve either wasted their time or hurt them in some way. That’s the worst thing you can steal, the time of other people. You just can’t get that back.

—Chester Bennington (via teenager90s)

(via mnoelle12706)

Every mathematical induction consists of three parts or acts.

The first part is called “The Base”. The mathemagician shows you something ordinary: a claim, a theorem or a lemma. He asks you to see if it is indeed real, unaltered, true for k = 1.

The second act is called “The Hypothesis”. The mathemagician takes the ordinary claim and assumes it to hold for k = n.

Now you’re looking for the trick … but you won’t find it, because of course you’re not really looking. You don’t really want to know. You want to be fooled. But you wouldn’t clap yet. Because assuming something for k = n isn’t enough. You have to prove it for k = n + 1.
That’s why every induction proof has a third act, the hardest part, the part we call “The Inductive Step”.

Sanchit Agrawal (via michaelblume)

(Source: yellowtypophile, via allofthemath)