Analysis / Mathematics / Physics / etc.

Between Being and Non-Being: Imaginary Numbers

Imaginary numbers are a fine and wonderful refuge of the divine spirit almost an amphibian between being and non-being ~Gottfried Wilhelm Liebnitz One of the first things we learn how to do is multiply numbers. . That sort of thing. But what if we multiply a number by itself? This is the familiar operation, which we call squaring a number. and . That sort of thing. You can take a number to a power by multiplying it by itself some number of times equal to the power. So if you square a number, you’ve taken it to the second power.

Discrete Math / Mathematics / Science And Math

Probability: Part 1

Hi everyone! This week, I was traveling to Park City, Utah, to participate in the 3-week Park City Mathematics Institute. It’s currently a blast! I have more time now, but in the meantime, I asked my good friend Mike Schmidt to write a guest article for me. He wrote on probability which, if you’ve been reading for a while you know, is deeply connected to modern physics. Anyway, here’s the article. Thanks, Mike! The laws of Probability So true in general So fallacious in particular. ~Edward Gibson   Probability is just so fantastic, I could eat it all up.