Search where?

This Portfolio (cathartes02)

All of Writing.Com

◄ April ►
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
Archive				RSS

Offsite Blogs

· Waltz Travel Blog

Create New Item

Read & Review

Community

Browse By Type

Browse By Genre

Writing Resources

Tuesday, Apr. 16, 2024

1:36am EDT

Members: 888

Guests: 1,360

Total Online: 2,248

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 ... -1- 2 3 4 5 6 7 8 9 10 ... Next

Show Recent Comments

10 Most Recent Blog Comments:

Elisa the Bunny Stik

about 17 hours ago
In response to "That's Cole"

"I don't know what the latest fad food is, but I can almost guarantee that behind the fad is someone with money trying to make more of it."

I'd say there are multiple fad foods, including goji berries. That said, cauliflower became trendy in 2018 and has maintained some level of staying power. I still see cauliflower rice as an option in many places across the US.

4 Like

Elisa the Bunny Stik

Apr 13, 2024 at 6:10am
In response to "Mawwiage..."

"Or, at the very least, it's an emotional bond more than a business arrangement."

And for a substantial subset of parents, it's neither. They either just want kids to show off like trophies or dive headfirst into various forms of abuse.

3 Like

Aennaytte: Free & Wild in GoT

Apr 12, 2024 at 12:39pm
In response to "Coincidences"

Some words even cross species.

My golden cat calls me Mom frequently.

1 Like

tj ~ endeavors to persevere!

Apr 11, 2024 at 1:58pm
In response to "A Cinderella Story"

Do you mean something like Carl having to work in the garage for his wicked step-dad while his brothers party? He was polishing an old hubcap that was magical and the next thing he meets a rich cougar at the club but has to leave by midnight when the spell wears off. As he exits he looses a boot. The cougar takes the boot with her and ends up having car problems the following day and stops at the garage where she notices Carl sweeping the floor with only one boot. She hands him the boot, it fits, and they are last seen sailing off on her yacht.

1 Like

tj ~ endeavors to persevere!

Apr 11, 2024 at 1:48pm
In response to "Things Go Better With Cahokia"

I bet they left because there wasn't anymore deer to barbecue.

2 Like

Robert Waltz

Apr 10, 2024 at 11:05am
In response to "Dark Side of the Moon"

⭐️Jellyfish⭐️

: Also known as a swag bag, but I usually prefer alliteration to rhyme (and also, since I pretend to be a writer, I like coming up with my own terms). No idea what you call them on that side of the pond. It's not technically "bling" because there wasn't any personal decoration, but it had things like certified sun-gazer glasses, a copy of their special eclipse bottle label art, a winery-logo corkscrew, and some delicious truffles (the chocolate kind, not the mushroom kind). Kind of like a Christmas stocking, but in April and for wine and astronomy nerds.

⭐️Jellyfish⭐️

Apr 10, 2024 at 8:18am
In response to "Dark Side of the Moon"

Wine, an Eclipse, and Pink Floyd Playing - Literally sounds like a Perfect Day!

And A Bling Bag! (Although not sure what this is, I am thinking a bag full of sparkly jewellery which it probably isn't)

1 Like

Kåre Enga in Udon Thani

Apr 10, 2024 at 1:34am
In response to "Dark Side of the Moon"

It's nice you took time out from you routine life and routine blogs. Mind you, routine has some appeal.

I saw the eclipse in 2017 in Montana. I'll probably not see another. Do I care? Well... if I happen to be near one... sure. I missed the lunar eclipse last year in Thailand and I wasn't happy... but I saw one in Venice (even saw Mars).

I agree that a sports venue has an ambience that one loses at an impersonal distance. I was in Allen Fieldhouse when Kansas won the national basketball championship in 2007. Not the same as being at the game, but close. 10,000 fans created some ambience. And the town afterwards? Incredible!

Video is visual/audio at best. But what is the smell, the touch of a breeze, a hot dog or the taste of wine on the lips? Also... one only sees/hears what others see/hear. I want to have my own experience.

Songkran is soon, in three days. I dread it in some ways, but it may be a break from the ennui of hot at night and worse by day.

1 Like

Kåre Enga in Udon Thani

Apr 10, 2024 at 1:20am
In response to "Louisville Sluggard"

I'm very light sensitive...

I don't see much under $100/night and very little over 8.0 that I can afford. Most of the nice places are around $200/night ... or ... what I pay for one month's rent here in Udon Thani.

Why don't I travel the US? 1. Don't have a car. 2. Can't afford it.

1 Like

Elisa the Bunny Stik

Apr 9, 2024 at 9:23pm
In response to "Dark Side of the Moon"

Meanwhile, when I'm back home, I will be yammering on about this subject till the cows come home. I am hoping that this will be my first one.

1 Like

#2668. That's Cole
ID #1068809 entered on April 15, 2024 at 8:25am

#2667. Revisited: "Getting the Lead Out"
ID #1068727 entered on April 14, 2024 at 7:19am

#2666. Mawwiage...
ID #1068648 entered on April 13, 2024 at 2:25am

#2665. Coincidences
ID #1068587 entered on April 12, 2024 at 11:00am

#2664. Things Go Better With Cahokia
ID #1068505 entered on April 11, 2024 at 10:38am

#2663. A Cinderella Story
ID #1068434 entered on April 10, 2024 at 11:36am

#2662. Dark Side of the Moon
ID #1068297 entered on April 9, 2024 at 6:24pm

#2661. Louisville Sluggard
ID #1067994 entered on April 8, 2024 at 7:01am

#2660. Revisited: "Social Greases"
ID #1067846 entered on April 7, 2024 at 12:57am

#2659. Ageless
ID #1067789 entered on April 6, 2024 at 10:09am

#2658. Plurality
ID #1067635 entered on April 5, 2024 at 8:11am

#2657. It Ain't Nothin'
ID #1067553 entered on April 4, 2024 at 11:15am

#2656. Sumer in the City
ID #1067483 entered on April 3, 2024 at 9:25am

#2655. Sandpeople
ID #1067394 entered on April 2, 2024 at 10:56am

#2654. Easy to Get Fooled
ID #1067311 entered on April 1, 2024 at 12:17pm

#2653. Revisited: "Heartbreak"
ID #1067220 entered on March 31, 2024 at 8:32am

#2652. Dis or Dat Information
ID #1067184 entered on March 30, 2024 at 11:07am

#2651. From Sea To Mining Sea
ID #1067128 entered on March 29, 2024 at 9:27am

#2650. What're Y'all Doin'?
ID #1067075 entered on March 28, 2024 at 9:35am

#2649. Celestial Spheres
ID #1067027 entered on March 27, 2024 at 11:05am

#2648. Do What You Quill
ID #1066957 entered on March 26, 2024 at 9:09am

#2647. Served with Flare
ID #1066890 entered on March 25, 2024 at 8:50am

#2646. Revisited: "Took the train down to Athens"
ID #1066834 entered on March 24, 2024 at 8:15am

#2645. Montserrat
ID #1066768 entered on March 23, 2024 at 10:24am

#2644. Trope-Osphere
ID #1066720 entered on March 22, 2024 at 10:33am

#2643. Socra-Tease
ID #1066678 entered on March 21, 2024 at 10:06am

#2642. Not My Baili-Wiki
ID #1066614 entered on March 20, 2024 at 10:30am

#2641. Stardust
ID #1066562 entered on March 19, 2024 at 9:18am

#2640. Cookie Wars
ID #1066490 entered on March 18, 2024 at 9:36am

#2639. Revisited: "Power"
ID #1066413 entered on March 17, 2024 at 9:27am

#2638. Substandard
ID #1066354 entered on March 16, 2024 at 10:52am

#2637. Why So Selfies?
ID #1066306 entered on March 15, 2024 at 9:38am

#2636. Current Events
ID #1066257 entered on March 14, 2024 at 9:54am

#2635. It's "Desert" Not "Dessert"
ID #1066209 entered on March 13, 2024 at 10:52am

#2634. Mind Matters
ID #1066147 entered on March 12, 2024 at 9:26am

#2633. Cheeses Crisis
ID #1066054 entered on March 11, 2024 at 8:26am

#2632. Revisited: "Links are Back!"
ID #1065994 entered on March 10, 2024 at 9:59am

#2631. Daydream Believer
ID #1065919 entered on March 9, 2024 at 9:27am

#2630. Law and Ordering Alcohol
ID #1065851 entered on March 8, 2024 at 8:25am

#2629. Zoned Out
ID #1065784 entered on March 7, 2024 at 9:23am

#2628. Les Langues d'Amour
ID #1065695 entered on March 6, 2024 at 8:16am

#2627. Ignorance is...
ID #1065605 entered on March 5, 2024 at 11:12am

#2626. Facts Simile
ID #1065530 entered on March 4, 2024 at 9:03am

#2625. Revisited: "Sea What I Did There"
ID #1065466 entered on March 3, 2024 at 9:37am

#2624. Thought Bubble
ID #1065370 entered on March 2, 2024 at 6:33am

#2623. They Ain't Here
ID #1065309 entered on March 1, 2024 at 8:39am

#2622. Quantum Leap Day
ID #1065222 entered on February 29, 2024 at 7:46am

#2621. That Was Easy
ID #1065075 entered on February 28, 2024 at 8:49am

#2620. Olive It And More
ID #1064998 entered on February 27, 2024 at 11:32am

#2619. Round and Round
ID #1064910 entered on February 26, 2024 at 10:11am

#2618. Revisited: "Cheese? What Kind of Cheese? I Want Brie"
ID #1064849 entered on February 25, 2024 at 10:07am

#2617. Nerdy Words
ID #1064779 entered on February 24, 2024 at 10:04am

#2616. Coming Up the Pike
ID #1064737 entered on February 23, 2024 at 10:28am

#2615. Curiosity
ID #1064670 entered on February 22, 2024 at 8:54am

#2614. That's Not Life
ID #1064595 entered on February 21, 2024 at 9:33am

#2613. Dahlia Dreaming
ID #1064499 entered on February 20, 2024 at 10:48am

#2612. Hogsheads per Furlong
ID #1064442 entered on February 19, 2024 at 9:15am

#2611. Revisited: "Cat Stuff"
ID #1064378 entered on February 18, 2024 at 9:36am

#2610. Inside Voice
ID #1064327 entered on February 17, 2024 at 9:04am

#2609. Violet
ID #1064272 entered on February 16, 2024 at 9:54am

#2608. PIE in Your Face
ID #1064218 entered on February 15, 2024 at 10:28am

#2607. Other Stuff We Don't Know
ID #1064168 entered on February 14, 2024 at 10:18am

#2606. Lurk in the Woods
ID #1064118 entered on February 13, 2024 at 9:33am

#2605. Cancel Cancel
ID #1064055 entered on February 12, 2024 at 9:07am

#2604. Revisited: "So it Ends"
ID #1063975 entered on February 11, 2024 at 9:24am

#2603. The Abyss Stares Also
ID #1063912 entered on February 10, 2024 at 9:16am

#2602. Running Stitch
ID #1063834 entered on February 9, 2024 at 9:53am

#2601. Freeze Frame
ID #1063762 entered on February 8, 2024 at 11:05am

#2600. Pinchers
ID #1063694 entered on February 7, 2024 at 10:47am

#2599. Stocking
ID #1063630 entered on February 6, 2024 at 9:47am

#2598. The Streak
ID #1063550 entered on February 5, 2024 at 10:48am

#2597. Revisited: "Poker"
ID #1063436 entered on February 4, 2024 at 9:04am

#2596. Burgundy
ID #1063374 entered on February 3, 2024 at 10:38am

#2595. Rats!
ID #1063315 entered on February 2, 2024 at 9:48am

#2594. And It Was All Yellow
ID #1063273 entered on February 1, 2024 at 11:19am

#2593. Mixed-Up
ID #1063230 entered on January 31, 2024 at 10:04am

#2592. Koalemos
ID #1063180 entered on January 30, 2024 at 11:00am

#2591. Ice Sea Moons
ID #1063143 entered on January 29, 2024 at 11:13am

#2590. Revisited: "Who"
ID #1063091 entered on January 28, 2024 at 9:27am

#2589. Spaced Out
ID #1063046 entered on January 27, 2024 at 10:40am

#2588. Today is Satireday
ID #1062993 entered on January 26, 2024 at 10:22am

#2587. Appropriate
ID #1062941 entered on January 25, 2024 at 8:36am

#2586. Pronouncements
ID #1062909 entered on January 24, 2024 at 12:40pm

#2585. Irresolute
ID #1062853 entered on January 23, 2024 at 10:21am

#2584. For Short Values of 'Lifetime'
ID #1062791 entered on January 22, 2024 at 10:29am

#2583. Revisited: "O Bai teh Wai..."
ID #1062750 entered on January 21, 2024 at 11:19am

#2582. Lemur and More
ID #1062694 entered on January 20, 2024 at 9:53am

#2581. The Once and Future Cheese
ID #1062664 entered on January 19, 2024 at 1:28pm

#2580. Thirties Words
ID #1062601 entered on January 18, 2024 at 10:34am

#2579. In Decision
ID #1062540 entered on January 17, 2024 at 9:45am

#2578. Dis Appointment
ID #1062474 entered on January 16, 2024 at 9:35am

#2577. Hot Potato
ID #1062438 entered on January 15, 2024 at 11:56am

#2576. Revisited: "Working Easy"
ID #1062373 entered on January 14, 2024 at 10:08am

#2575. Original Syndrome
ID #1062329 entered on January 13, 2024 at 10:56am

#2574. Inventive
ID #1062292 entered on January 12, 2024 at 10:55am

#2573. Seeing is Disbelieving
ID #1062201 entered on January 11, 2024 at 11:06am

#2572. Material World
ID #1062150 entered on January 10, 2024 at 9:25am

#2571. Journey to the New Word
ID #1062104 entered on January 9, 2024 at 8:36am

#2570. Math Hole
ID #1062064 entered on January 8, 2024 at 9:58am

#2569. Revisited: "Procrastination"
ID #1062008 entered on January 7, 2024 at 7:27am

Previous ... -1- 2 3 4 5 6 7 8 9 10 ... 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://www.writing.com/main/profile/blog/cathartes02/action/archive