Made this a few months ago for Toastbeard. Please take my netbook away from me. I'll start on real music again in November when I'm done with school. Courtesy of Glaze for making this song the right length. VISIT ME ON FACEBOOK! http://www.facebook.com/stablefree OR TUMBLR! http://stablefree.tumblr.com Download from SoundCloud: DeviantArt account: http://jubian.deviantart.com/ --- Lyrics Yeah. DJ Stablefree on the track. This shit we're exploring. It's gonna be magical. I got a cold, so if I'm nasal, then fuck you. I'll tell you a maths joke if you make fun of my accent, bro! Don't fuck with mathematicians! We can use maths to kill you with dubstep! Or create a car. With magnets. Yeah, so whatcha know about complex numbers, son? W-elcome fellow bronies Your teacher Stablefree If you thought numbers were bad, Then this is something to see. When using only real numbers We have some difficulties You can't evaluate roots With negativity. But if you introduce 'i' The complex identity, then solving 'root of neg 1' Is an easy feat. Square root of negative 'n' Is just root 'n' times 'i' That's the basics of complex numbers, easy as π! When factorising poly- nomials in the complex field then 'neg b plus minus root b squared minus 4 a c over 2 a' is of massive appeal! Hey. don't doze off just yet. We've got some trig to cover. And now some co-ordinate Geometry An Argand Diagram is similar To that of a Cartesian plane A complex number z Is x + iy, Then you go x to the left, Then go up by y, it's easy! Then draw a line origin to the point. It's length is modulus z, Inclined by argument z. Put this into trig form, cos plus i sin of arg negative arg is conjugate z It's not that hard! De Moivre's (spoken anglicised i.e. wrongly) Theorem states that cis theta to the power of n is equal to cis of theta times n, which is Used in trigono-metric identities! Yeah. Complex numbers. You'd better be taking notes. I'm giving you a test after this. It's gonna be fucking tough. Next time, I'mma teach you about vectors. And locii. And complex roots of unity. Cool shit like that. Get pumped. Okay. Time for lunch. I-Pie, you stay here. You got a B plus in your last test. You know what happens when you get a B plus. I whip a bitch. Hard. And tell you lame maths jokes. Yeah, be scared. Stablefree, out.