{"upload_date": "20120822", "creator": null, "height": 480, "like_count": 103, "duration": 194, "fulltitle": "Stablefree - Complex Numbers (non-serious music)", "playlist_index": 5, "view_count": 5528, "playlist": "Uploads from Stablefree", "title": "Stablefree - Complex Numbers (non-serious music)", "_filename": "/home/zizzydizzymc/archive/youtube/Stablefree_UC9JQ5BV3vl4NlXMi66iDNtg/Stablefree_-_Complex_Numbers_non-serious_music-Stablefree-20120822-youtube-640x480-_1vx2jnAv8c.mp4", "tags": ["djsf", "dj", "stablefree", "oatstralia"], "is_live": null, "id": "_1vx2jnAv8c", "dislike_count": 3, "average_rating": 4.88679265976, "abr": 160, "uploader_url": "http://www.youtube.com/user/oatstralia", "categories": ["Music"], "fps": 30, "stretched_ratio": null, "age_limit": 0, "annotations": null, "webpage_url_basename": "_1vx2jnAv8c", "acodec": "opus", "display_id": "_1vx2jnAv8c", "automatic_captions": {}, "description": "Made this a few months ago for Toastbeard. Please take my netbook away from me.\nI'll start on real music again in November when I'm done with school.\n\nCourtesy of Glaze for making this song the right length.\n\nVISIT ME ON FACEBOOK! http://www.facebook.com/stablefree\nOR TUMBLR! http://stablefree.tumblr.com\n\nDownload from SoundCloud:\n\nDeviantArt account: http://jubian.deviantart.com/\n\n---\n\nLyrics\n\nYeah. DJ Stablefree on the track.\nThis shit we're exploring. It's gonna be magical.\nI got a cold, so if I'm nasal, then fuck you.\nI'll tell you a maths joke if you make fun of my accent, bro!\n\nDon't fuck with mathematicians!\nWe can use maths to kill you with dubstep!\nOr create a car. With magnets.\n\nYeah, so whatcha know about complex numbers, son?\n\nW-elcome fellow bronies\nYour teacher Stablefree\nIf you thought numbers were bad,\nThen this is something to see.\n\nWhen using only real numbers\nWe have some difficulties\nYou can't evaluate roots\nWith negativity.\n\nBut if you introduce 'i'\nThe complex identity,\nthen solving 'root of neg 1'\nIs an easy feat.\n\nSquare root of negative 'n'\nIs just root 'n' times 'i'\nThat's the basics of complex\nnumbers, easy as \u03c0!\n\nWhen factorising poly-\nnomials in the complex field\nthen 'neg b plus minus root b squared minus\n4 a c over 2 a' is of massive appeal!\n\nHey. don't doze off just yet.\nWe've got some trig to cover.\n\nAnd now some co-ordinate\nGeometry\nAn Argand Diagram is similar\nTo that of a Cartesian plane\n\nA complex number z\nIs x + iy,\nThen you go x to the left,\nThen go up by y, it's easy!\n\nThen draw a line\norigin to the point.\nIt's length is modulus z,\nInclined by argument z.\n\nPut this into trig form,\ncos plus i sin of arg\nnegative arg is conjugate z\nIt's not that hard!\n\nDe Moivre's (spoken anglicised i.e. wrongly) Theorem states that\ncis theta to the power of n\nis equal to cis of theta times n, which is\nUsed in trigono-metric identities!\n\nYeah. Complex numbers.\nYou'd better be taking notes.\nI'm giving you a test after this.\nIt's gonna be fucking tough.\nNext time, I'mma teach you\nabout vectors. And locii.\nAnd complex roots of unity.\nCool shit like that. Get pumped.\n\nOkay. Time for lunch.\nI-Pie, you stay here.\nYou got a B plus in your last test.\nYou know what happens when you get a B plus.\nI whip a bitch. 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