Not for the faint of art. |
Complex Numbers A complex number is expressed in the standard form a + bi, where a and b are real numbers and i is defined by i^2 = -1 (that is, i is the square root of -1). For example, 3 + 2i is a complex number. The bi term is often referred to as an imaginary number (though this may be misleading, as it is no more "imaginary" than the symbolic abstractions we know as the "real" numbers). Thus, every complex number has a real part, a, and an imaginary part, bi. Complex numbers are often represented on a graph known as the "complex plane," where the horizontal axis represents the infinity of real numbers, and the vertical axis represents the infinity of imaginary numbers. Thus, each complex number has a unique representation on the complex plane: some closer to real; others, more imaginary. If a = b, the number is equal parts real and imaginary. Very simple transformations applied to numbers in the complex plane can lead to fractal structures of enormous intricacy and astonishing beauty. |
#2350. Powerless
ID #1050418 entered on June 2, 2023 at 10:14am
#2349. Stop Making Sense
ID #1050375 entered on June 1, 2023 at 11:41am
#2348. It's Not Right
ID #1050318 entered on May 31, 2023 at 9:22am
#2347. Shit on a Single
ID #1050264 entered on May 30, 2023 at 7:57am
#2346. What You Wish For
ID #1050227 entered on May 29, 2023 at 10:40am
#2345. Revisited: "Poor You"
ID #1050188 entered on May 28, 2023 at 9:35am
#2344. Ur Gent
ID #1050145 entered on May 27, 2023 at 11:37am
#2343. Thirty Years After
ID #1050116 entered on May 26, 2023 at 11:34am
#2342. Uncomfortably Numb
ID #1050071 entered on May 25, 2023 at 8:45am
#2341. Machine Learning
ID #1050033 entered on May 24, 2023 at 7:52am
#2340. Authenticity
ID #1049998 entered on May 23, 2023 at 10:06am
#2339. Thumbs Out
ID #1049962 entered on May 22, 2023 at 8:15am
#2338. Revisited: "Naturally"
ID #1049920 entered on May 21, 2023 at 9:03am
#2337. Setting Boundaries
ID #1049871 entered on May 20, 2023 at 11:37am
#2336. Every Thing
ID #1049836 entered on May 19, 2023 at 10:37am
#2335. Legally Binding
ID #1049803 entered on May 18, 2023 at 6:11pm
#2334. Some Time
ID #1049703 entered on May 17, 2023 at 8:14am
#2333. A Frank Discussion
ID #1049662 entered on May 16, 2023 at 9:47am
#2332. Extinct
ID #1049626 entered on May 15, 2023 at 9:21am
#2331. Revisited: "Something about Nothing"
ID #1049580 entered on May 14, 2023 at 9:27am
#2330. True or False: Nutrition Edition
ID #1049551 entered on May 13, 2023 at 8:22am
#2329. Mind, the Gap
ID #1049518 entered on May 12, 2023 at 8:06am
#2328. Divided by a Vulgar Language
ID #1049467 entered on May 11, 2023 at 10:04am
#2327. Free
ID #1049425 entered on May 10, 2023 at 10:35am
#2326. Alarming Trend
ID #1049389 entered on May 9, 2023 at 11:24am
#2325. Fair Morning
ID #1049353 entered on May 8, 2023 at 9:07am
#2324. Revisited: "No Fault of Mine"
ID #1049327 entered on May 7, 2023 at 9:42am
#2323. Enter the Dragon
ID #1049296 entered on May 6, 2023 at 1:18pm
#2322. A Sentence Walks Into a Bar, Comes To a Full Stop
ID #1049238 entered on May 5, 2023 at 11:40am
#2321. Lichen Thropy
ID #1049209 entered on May 4, 2023 at 1:06pm
#2320. For a Lark
ID #1049152 entered on May 3, 2023 at 9:01am
#2319. Outer Limits
ID #1049120 entered on May 2, 2023 at 12:44am
#2318. Going South
ID #1049063 entered on May 1, 2023 at 12:51am
#2317. Revisited: "Asking Persimmon"
ID #1049023 entered on April 30, 2023 at 3:38am
#2316. Stuck in Committee
ID #1049011 entered on April 29, 2023 at 8:26pm
#2315. That's Better
ID #1048945 entered on April 28, 2023 at 2:58pm
#2314. Pushing My Buttons
ID #1048899 entered on April 27, 2023 at 5:26pm
#2313. Get the Lard Out
ID #1048815 entered on April 26, 2023 at 7:23am
#2312. That Newfangled Junk
ID #1048752 entered on April 25, 2023 at 9:56am
#2311. It's In My Genes
ID #1048696 entered on April 24, 2023 at 9:50am
#2310. Revisited: "Cryptonite"
ID #1048643 entered on April 23, 2023 at 8:59am
#2309. But the Sun Is Eclipsed By the Moon
ID #1048605 entered on April 22, 2023 at 9:55am
#2308. Boned
ID #1048554 entered on April 21, 2023 at 11:26am
#2307. Heavy Size
ID #1048496 entered on April 20, 2023 at 9:24am
#2306. Just One Word
ID #1048454 entered on April 19, 2023 at 10:57am
#2305. Unknown
ID #1048384 entered on April 18, 2023 at 10:09am
#2304. In-Vesting
ID #1048319 entered on April 17, 2023 at 9:16am
#2303. Revisited: "Calvin Tribute"
ID #1048283 entered on April 16, 2023 at 9:53am
#2302. The Less You Know...
ID #1048245 entered on April 15, 2023 at 10:36am
#2301. I Ain't Got a Thing...
ID #1048188 entered on April 14, 2023 at 11:31am
#2300. Urine Trouble
ID #1048137 entered on April 13, 2023 at 1:43pm
#2299. Charmeuse
ID #1048059 entered on April 12, 2023 at 9:22am
#2298. Word to the Wise
ID #1048020 entered on April 11, 2023 at 10:16am
#2297. Hem
ID #1047949 entered on April 10, 2023 at 10:29am
#2296. Revisited: "Once More With Feeling"
ID #1047885 entered on April 9, 2023 at 12:02pm
#2295. Uncivil
ID #1047803 entered on April 8, 2023 at 10:40am
#2294. Sweater
ID #1047729 entered on April 7, 2023 at 1:27pm
#2293. Mind Your Own Mind
ID #1047614 entered on April 6, 2023 at 7:51am
#2292. Portrait of a Rant
ID #1047527 entered on April 5, 2023 at 8:56am
#2291. Only the Lonely
ID #1047477 entered on April 4, 2023 at 11:46am
#2290. Difficulty
ID #1047419 entered on April 3, 2023 at 11:03am
#2289. Revisited: "Judge, Mental"
ID #1047344 entered on April 2, 2023 at 10:25am
#2288. Lost in Thought Experiments
ID #1047267 entered on April 1, 2023 at 12:25am
#2287. Being a Pill
ID #1047230 entered on March 31, 2023 at 10:45am
#2286. Can't Get There from Here
ID #1047161 entered on March 30, 2023 at 7:10am
#2285. Acts of Kindness
ID #1047132 entered on March 29, 2023 at 12:09pm
#2284. Measure by Measure
ID #1047081 entered on March 28, 2023 at 9:39am
#2283. On the Bias
ID #1047040 entered on March 27, 2023 at 10:06am
#2282. Revisited: "Invincible"
ID #1047009 entered on March 26, 2023 at 12:46pm
#2281. Attention Payment
ID #1046966 entered on March 25, 2023 at 11:03am
#2280. Advisory
ID #1046915 entered on March 24, 2023 at 9:31am
#2279. Unnatural
ID #1046875 entered on March 23, 2023 at 10:35am
#2278. The Best Offense
ID #1046836 entered on March 22, 2023 at 10:30am
#2277. Faux Past
ID #1046787 entered on March 21, 2023 at 8:53am
#2276. Scorn on the Cob
ID #1046731 entered on March 20, 2023 at 9:48am
#2275. Revisited: "Speling Iz Dificult"
ID #1046703 entered on March 19, 2023 at 8:10am
#2274. Frankenstime
ID #1046673 entered on March 18, 2023 at 12:57pm
#2273. Wrong
ID #1046645 entered on March 17, 2023 at 2:19pm
#2272. Eight Isn't Enough
ID #1046446 entered on March 16, 2023 at 9:22am
#2271. Stupid Answer
ID #1046411 entered on March 15, 2023 at 9:29am
#2270. Word Origins
ID #1046378 entered on March 14, 2023 at 8:51am
#2269. Begging, the Question
ID #1046340 entered on March 13, 2023 at 1:28pm
#2268. Revisited: "WTC"
ID #1046275 entered on March 12, 2023 at 12:39pm
#2267. Cache Is King
ID #1046235 entered on March 11, 2023 at 11:14am
#2266. Musk I?
ID #1046182 entered on March 10, 2023 at 12:12pm
#2265. Saison de Cueillette
ID #1046131 entered on March 9, 2023 at 9:23am
#2264. Behave
ID #1046080 entered on March 8, 2023 at 8:57am
#2263. Umami
ID #1046051 entered on March 7, 2023 at 11:14am
#2262. Neologisms
ID #1046014 entered on March 6, 2023 at 8:31am
#2261. Revisited: "Sniff"
ID #1045988 entered on March 5, 2023 at 3:28pm
#2260. Ticking
ID #1045934 entered on March 4, 2023 at 12:12pm
#2259. Tough
ID #1045875 entered on March 3, 2023 at 11:46am
#2258. Null and Void
ID #1045832 entered on March 2, 2023 at 7:32am
#2257. Purrfectly Dark
ID #1045737 entered on March 1, 2023 at 1:26am
#2256. In Your Face
ID #1045698 entered on February 28, 2023 at 11:20am
#2255. What You Will
ID #1045623 entered on February 27, 2023 at 12:51pm
#2254. Revisited: "Random Thoughts"
ID #1045558 entered on February 26, 2023 at 9:21am
#2253. Reach for the Skies
ID #1045498 entered on February 25, 2023 at 3:03am
#2252. Food, Glorious Food
ID #1045458 entered on February 24, 2023 at 12:08pm
#2251. Alt-Earth ID #1045405 entered on February 23, 2023 at 11:17am |