Search where?

This Portfolio (cathartes02)

All of Writing.Com

◄ July ►
S	M	T	W	T	F	S
	1	2	3	4	5	6
7	8	9	10	11	12	13
14	15	16	17	18	19	20
21	22	23	24	25	26	27
28	29	30	31
Archive				RSS

Offsite Blogs

· Waltz Travel Blog

Create New Item

Read & Review

Community

Browse By Type

Browse By Genre

Writing Resources

Tuesday, Jul. 2, 2024

12:48pm EDT

Members: 973

Guests: 984

Total Online: 1,957

Complex Numbers

by Robert Waltz

Rated: 18+ · Book · Personal · #1196512

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.

http://www.ddewey.net/mandelbrot/

Signature for Honorable Mentions in 2018 Quill Awards

A signature for exclusive use of winners at the 2019 Quill Awards

Signature for those who have won a Quill Award at the 2020 Quill Awards

Previous ... 2 3 4 5 -6- 7 8 9 10 11 ... Next

Show Recent Comments

10 Most Recent Blog Comments:

tracker

about 4 hours ago
In response to "Imma Let You Finish, But..."

I am a sports fanatic!!!! You will see more of me.

1 Like

tj ~ endeavors to persevere!

a day ago
In response to "Revisited: "Rock you like a...""

I also purchased a generator because our power would go out anytime the wind blew. It seems to have worked, we seldom have power outages now. Living in Minnesota, all we get when the hurricanes push threw are thunder storms and rain. But, it's Minnesota, so thunder storms and rain are normal. This year does seem to be rainier, however.

I'm thinking, after reading this, that I should invest in a couple of rain barrels and bottle the water up. I could probably sell it online to drought stricken people.

1 Like

Kåre Enga in Montana

Jun 29, 2024 at 2:16pm
In response to "Je Voyagerai"

I once was allergic to going on a cruise. But... I should... just for the experience. I've gotten out of my comfort zone for experience.

With the crush of tourists these days any travel should include how much you want to put up with "other people's vacation" as opposed to your own.

1 Like

Lazy Writer est 4/24/2008

Jun 29, 2024 at 1:38pm
In response to "Je Voyagerai"

Happy traveling..be safe.

Elisa: Middle Aged Stik

Jun 29, 2024 at 11:12am
In response to "It Ain't Wrong"

Ain’t apparently begins as amn’t, a contraction for am not, which you can still hear in Ireland and Scotland today

I mean, an abundant number of Scotch and Irish immigrants ended up in the American South, so this tracks.

While a lot of people consider ain’t improper, it’s a very regular and legitimate part of many forms of English, including in Black English (AAVE). Be mindful that judging someone’s use of ain’t as “wrong” can be a very socially loaded act, to say the least.

For some reason, this reminds of one of the reasons I stopped reading Ask A Manager. A bunch of people were getting real uppity about the use of the phrase "baby daddy". Unsurprisingly, many of these people appeared white. One Black person in the comments finally had enough and threw down with this remark:

"I gotta say, as a black woman it grates to have phrases that come out of AAVE be appropriated, assigned negative connotation (likely because they come from black culture), then discarded with prejudice. If you’re using the phrase to conjure up stereotypical imagery, I can get on board with putting an end to that. But there are plenty of people for whom baby daddy or baby mama are not pejorative at all, just descriptors of the relationship in their dialect, and correcting them to “Father of my child” is just another case of denigrating minority speech patterns and legitimate AAVE grammatical constructions and upholding “white is right” standards."

(For more context, check out this link

1 Like

🌕 HuntersMoon

Jun 28, 2024 at 10:54am
In response to "It Ain't Wrong"

Ain't you on a roll today...

3 Like

Adherennium Dr of Phoolishness

Jun 27, 2024 at 11:53am
In response to "Wave Rider"

Horrifying fact, I once painted a reproduction of the Hokusai wave on our bathroom wall. Eventually of course it was painted over, but I like to fantasise that in some distant future it will be archaeologically excavated and held up as an example of early cultural appropriation, (badly executed too.)

1 Like

Annette

Jun 26, 2024 at 8:16pm
In response to "The Oz Hypothesis"

The nekked wimmin look like something that I might have drawn in first grade.

1 Like

Aiva Raine

Jun 25, 2024 at 10:16pm
In response to "Can't Spell Success without Sucs"

Ok- this made me truly LOL- "sipping a gin and tonic made with low-paid laborer tears"

Thank you. Totally agree with the rest of your article.

Money doesn't solve all problems but it sure as hell eliminates many and makes it easier to go places or buy things that can create some happiness. IE- a property somewhere quiet and peaceful and a trailer with which to chill on said property.

Rich people are typically clueless assholes.

1 Like

Anni Pon

Jun 25, 2024 at 9:30am
In response to "Can't Spell Success without Sucs"

I've never heard anyone say, "That guy is so successful, but he doesn't really make much money." Or anything similar. Sure, you can have a positive impact on the world without making lots of money, but people won't call it success.

2 Like

#2246. What the Bike?
ID #1045037 entered on February 18, 2023 at 11:38am

#2245. Social Greases
ID #1044972 entered on February 17, 2023 at 12:01am

#2244. Nothing at All
ID #1044915 entered on February 16, 2023 at 12:01am

#2243. Brutal
ID #1044859 entered on February 15, 2023 at 12:06am

#2242. Tip, See?
ID #1044803 entered on February 14, 2023 at 12:02am

#2241. When Not In Rome
ID #1044695 entered on February 13, 2023 at 12:01am

#2240. Revisited: "Crossing My Path"
ID #1044647 entered on February 12, 2023 at 12:03am

#2239. Carp-al Tunnel
ID #1044590 entered on February 11, 2023 at 12:01am

#2238. Car Care
ID #1044536 entered on February 10, 2023 at 12:01am

#2237. Origin Stories
ID #1044486 entered on February 9, 2023 at 12:02am

#2236. Watch It Wiggle
ID #1044434 entered on February 8, 2023 at 12:02am

#2235. Pareidolia
ID #1044382 entered on February 7, 2023 at 12:01am

#2234. The Building Code
ID #1044333 entered on February 6, 2023 at 12:01am

#2233. Revisited: "Lassie"
ID #1044278 entered on February 5, 2023 at 12:01am

#2232. Turning Over a New Leaf
ID #1044216 entered on February 4, 2023 at 12:01am

#2231. Rants At A Picnic
ID #1044108 entered on February 3, 2023 at 12:01am

#2230. A Star is Born
ID #1044036 entered on February 2, 2023 at 12:01am

#2229. Like the Plague
ID #1043972 entered on February 1, 2023 at 12:01am

#2228. In The Beginning Was the Emoji
ID #1043924 entered on January 31, 2023 at 12:01am

#2227. Psych Ops
ID #1043857 entered on January 30, 2023 at 10:00pm

#2226. Revisited: "Dream a Little Dream"
ID #1043822 entered on January 29, 2023 at 12:02am

#2225. In the Cards
ID #1043778 entered on January 28, 2023 at 12:02am

#2224. Bizspeak
ID #1043725 entered on January 27, 2023 at 12:01am

#2223. Monopoly
ID #1043676 entered on January 26, 2023 at 12:02am

#2222. Satan's Earwax
ID #1043629 entered on January 25, 2023 at 12:01am

#2221. AI See What You Did There
ID #1043587 entered on January 24, 2023 at 12:02am

#2220. Minerals... From Spaaaaaaaace
ID #1043538 entered on January 23, 2023 at 12:01am

#2219. Revisited: "Scare Tactics"
ID #1043497 entered on January 22, 2023 at 12:02am

#2218. Thinking Inside the Box
ID #1043460 entered on January 21, 2023 at 12:01am

#2217. 'Sup, Y'all?
ID #1043396 entered on January 20, 2023 at 12:01am

#2216. Read All the Books
ID #1043341 entered on January 19, 2023 at 12:01am

#2215. Survivalism
ID #1043310 entered on January 18, 2023 at 10:19am

#2214. Ice Empress
ID #1043234 entered on January 17, 2023 at 12:01am

#2213. Pitch Perfect
ID #1043190 entered on January 16, 2023 at 12:01am

#2212. Revisited: "Meat the Press"
ID #1043148 entered on January 15, 2023 at 12:02am

#2211. Inspire
ID #1043102 entered on January 14, 2023 at 12:03am

#2210. Kitchen Bitchin'
ID #1043059 entered on January 13, 2023 at 12:02am

#2209. Librarians
ID #1043012 entered on January 12, 2023 at 12:02am

#2208. Revisited: "Eruv L'olam"
ID #1042949 entered on January 11, 2023 at 1:47am

#2207. Naturally
ID #1042907 entered on January 10, 2023 at 12:45am

#2206. Five in Five
ID #1042858 entered on January 9, 2023 at 7:27am

#2205. Greetings from Asbury Park, NJ
ID #1042807 entered on January 8, 2023 at 7:24am

#2204. Yeast River
ID #1042770 entered on January 7, 2023 at 6:12am

#2203. Imbalance
ID #1042724 entered on January 6, 2023 at 5:10am

#2202. Tipping Point
ID #1042667 entered on January 5, 2023 at 1:34am

#2201. Mushroom Mushroom
ID #1042630 entered on January 4, 2023 at 12:01am

#2200. Wake Up Call
ID #1042554 entered on January 3, 2023 at 12:01am

#2199. Born to Forget
ID #1042483 entered on January 2, 2023 at 12:02am

#2198. Revisited: "Someone's Birthday"
ID #1042436 entered on January 1, 2023 at 10:24am

#2197. Syne of the Times
ID #1042384 entered on December 31, 2022 at 12:02am

#2196. Playing Chicken
ID #1042343 entered on December 30, 2022 at 12:01am

#2195. Consumer
ID #1042315 entered on December 29, 2022 at 12:03am

#2194. Triskaidekaphobia
ID #1042274 entered on December 28, 2022 at 12:03am

#2193. Origins
ID #1042228 entered on December 27, 2022 at 12:04am

#2192. Symbiosis
ID #1042151 entered on December 26, 2022 at 12:01am

#2191. Revisited: "NaNo?"
ID #1042125 entered on December 25, 2022 at 12:05am

#2190. Reason for the Sneezin'
ID #1042100 entered on December 24, 2022 at 6:58am

#2189. Mad World
ID #1042055 entered on December 23, 2022 at 12:01am

#2188. It's Trying to Kill You
ID #1042019 entered on December 22, 2022 at 12:02am

#2187. Elves: A Field Guide
ID #1041988 entered on December 21, 2022 at 12:01am

#2186. Preservation
ID #1041951 entered on December 20, 2022 at 12:01am

#2185. Soup Chef
ID #1041916 entered on December 19, 2022 at 12:01am

#2184. Revisited: "The Only Certainty is Uncertainty"
ID #1041887 entered on December 18, 2022 at 12:02am

#2183. Facts Machine
ID #1041865 entered on December 17, 2022 at 12:02am

#2182. Not Giving Up the Ghost
ID #1041833 entered on December 16, 2022 at 12:02am

#2181. Luck You Too
ID #1041803 entered on December 15, 2022 at 12:01am

#2180. Not Buying It
ID #1041775 entered on December 14, 2022 at 12:01am

#2179. Three Years
ID #1041736 entered on December 13, 2022 at 12:02am

#2178. Colony
ID #1041703 entered on December 12, 2022 at 12:01am

#2177. Revisited: "Deep Dive"
ID #1041676 entered on December 11, 2022 at 12:01am

#2176. You Mean Like From The Toilet?
ID #1041640 entered on December 10, 2022 at 12:01am

#2175. Kanterpoint
ID #1041595 entered on December 9, 2022 at 12:02am

#2174. Think Tanked
ID #1041541 entered on December 8, 2022 at 12:02am

#2173. It's Not Even Half Full
ID #1041481 entered on December 7, 2022 at 12:01am

#2172. In the Habit
ID #1041452 entered on December 6, 2022 at 12:02am

#2171. In Loo Of
ID #1041403 entered on December 5, 2022 at 12:01am

#2170. Revisited: "Aren't you a little short for a stormtrooper?"
ID #1041364 entered on December 4, 2022 at 12:02am

#2169. Yeah. Right. Sure.
ID #1041275 entered on December 3, 2022 at 12:01am

#2168. Hoardly Working
ID #1041232 entered on December 2, 2022 at 12:01am

#2167. Never Mind
ID #1041189 entered on December 1, 2022 at 12:02am

#2166. A Bridge Too Far
ID #1041155 entered on November 30, 2022 at 12:01am

#2165. Freezing Hot
ID #1041125 entered on November 29, 2022 at 12:01am

#2164. The Sage of Indianapolis
ID #1041092 entered on November 28, 2022 at 12:02am

#2163. Porsche Swing
ID #1041062 entered on November 27, 2022 at 12:01am

#2162. To Market, To Market
ID #1041037 entered on November 26, 2022 at 12:01am

#2161. Not in Our Stars
ID #1041003 entered on November 25, 2022 at 12:01am

#2160. The Greatest Thing Since...
ID #1040976 entered on November 24, 2022 at 12:03am

#2159. To Die Laughing
ID #1040944 entered on November 23, 2022 at 12:02am

#2158. Northern Exposure
ID #1040914 entered on November 22, 2022 at 12:01am

#2157. Kidlore
ID #1040879 entered on November 21, 2022 at 12:02am

#2156. Revisited: "Rarity"
ID #1040853 entered on November 20, 2022 at 12:01am

#2155. Pronounced Differences
ID #1040820 entered on November 19, 2022 at 12:02am

#2154. Play It Where It Lies
ID #1040776 entered on November 18, 2022 at 12:02am

#2153. Yeast to West
ID #1040741 entered on November 17, 2022 at 12:01am

#2152. Time to Cook
ID #1040706 entered on November 16, 2022 at 12:01am

#2151. Captain's Log
ID #1040668 entered on November 15, 2022 at 12:01am

#2150. Crabbit Hole
ID #1040628 entered on November 14, 2022 at 12:02am

#2149. Revisited: "Never ends"
ID #1040597 entered on November 13, 2022 at 12:01am

#2148. Bona Frieds
ID #1040558 entered on November 12, 2022 at 12:01am

#2147. Tales from the Cryptid II: Ringdocus
ID #1040530 entered on November 11, 2022 at 12:01am

Previous ... 2 3 4 5 -6- 7 8 9 10 11 ... Next

© Copyright 2024 Robert Waltz (UN: cathartes02 at Writing.Com). All rights reserved.
Robert Waltz has granted Writing.Com, its affiliates and its syndicates non-exclusive rights to display this work.

Printed from https://shop.writing.com/main/profile/blog/cathartes02/action/archive/sort_by/entry_order DESC, entry_creation_time DESC/page/6