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

Wednesday, Apr. 24, 2024

8:31pm EDT

Members: 948

Guests: 4,766

Total Online: 5,714

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:

Aiva Raine

about 4 hours ago
In response to "Tipped Out"

Agreed. I'll tip and well, for actual waitstaff at restaurants. I'll tip appropriately for bell-staff who assists with luggage at hotels, the more luggage, the bigger the tip. I'll give a tip to the valet as well. Beyond that- I don't tip. Certainly no tip for the fast food workers, coffee baristas, grocery store clerks, etc.

It annoys me to no end that we're being asked to tip for all kinds of jobs where they are being paid an hourly wage. I've worked as a waitress when I was young and my daughter currently does. In those jobs- she absolutely depends upon proper tipping to make a decent wage. And I hate the fact that she is dependent upon tips to do so.

It leaves women especially at the mercy of arsh**() on whether she wants to accept hostile, negative, sexist, harassing, demeaning, and negative behavior from her customers in order to make a living. It condones people treating their waitstaff like shite in order to get paid. While there is much improvement from the 30 years ago when I was working as a waitress in the skimpy outfits we were forced to wear- it's still an issue at non-chain, independent owned restaurants and diners.

Women are left to the mercies of jerk customers and their only recourse is the manager who they have to hope supports their waitstaff rather than the jerk customer. Tipping should be eliminated. All employees should be paid a livable wage and waitstaff especially should not be dependent upon tolerating crappy to obscene behavior from customers in order to make a living.

But, until that happens- I always tip at least 20% and often times more. Very rarely have I tipped lower and the service in those situations was abysmal and they still got 10%.

1 Like

GeminiGem of House Lannister

a day ago
In response to "Going to the Dogs"

I don't understand the intersection, either. I lived in a much smaller city and found that having dogs was a hassle (although it didn't stop me), what with the complainey neighbors, the extra licensing, etc. I live in a rural location now and it works great. I can't wrap my head around living in NYC with or without a dog, although I like the idea of a place that issues a canine and supplies upon moving there. Can that please be a thing?

1 Like

Lazy Writer est 4/24/2008

a day ago
In response to "Going to the Dogs"

I love my little dog...but I live in a biggish house with a fenced backyard.

1 Like

Aennaytte: Free & Wild in GoT

a day ago
In response to "That's Cole"

I knew and ate Kohlrabi before I ever heard of kale. Kohlrabi is so much better in every way.

That last quoted sentence is hilarious. I am glad that I wasn't bred to be a Brussels Sprout.

1 Like

Aennaytte: Free & Wild in GoT

a day ago
In response to "Cash Stash"

The discussion of money is an interesting one. Remember the recent collapse of a few banks? I think it was about a year or so ago?
Yes, deposits were FDIC insured up to $250,000 per depositor. But some people and companies had more money in that bank than the FDIC was insuring.
I never followed up on what happened to those people. I don't run in circles of people who own that much cash.

My accounting professor took half a period to explain to us what happened and how the bank went from Silicone Valley darling to dead so fast.

He also told us that the value we give money is not backed by anything except our hope and faith that our economy will keep going.

We didn't discuss whether the value of money needed a lower income class of people.

1 Like

Aennaytte: Free & Wild in GoT

a day ago
In response to "Revisited: "Hack This""

In my last psychology class, we discussed the evolution of the brain. It is now settled science that we evolved to have not only larger, but also vastly more powerful brains than most other animals because we learned how to cook (process) our food.
Although we are only about 1/4 to 1/3 of a normal gorilla, we eat half of the calories in a day. Not only that, we prepare the food in a way that we get to use more of the calories that we ingest.
The result is that our brain takes up more space in our noggin than a gorilla brain takes up in his noggin. Not only that, each of our brain cells is smaller, so we can fit exponentially more of those into our head.

Now, using all that goodness ...

1 Like

Aennaytte: Free & Wild in GoT

a day ago
In response to "Hope for Hops"

Wait! Why are beer and coffee affected by climate change? That wasn't supposed to happen. All we had to do was have a boat by the side of the house for when the sea levels rise and beg our property insurance to cover fire damage. How are we supposed to remember all of that if we don't get coffee to wake us up in the morning so that we can think and beer at night to dull our sense of doom?

Aennaytte: Free & Wild in GoT

a day ago
In response to "Going to the Dogs"

I have never been to New York, but it seems that my assessment years ago that Berlin, Germany and New York have some similarities. Both cities are known for being inhabited by rude people. And both places, as I now found out, are dog obsessed. And they have high rents.
Berliners though, have a habit of letting their dogs run off leash. Maybe New York is a little better than Berlin in that regard.

1 Like

Robert Waltz

Apr 21, 2024 at 1:48pm
In response to "Revisited: "Hack This""

Wordsmitty ✍️, far be it from me to speculate on the motivations of space aliens, but why in Xenu's name would they do such a thing to the universe?

1 Like

Wordsmitty ✍️

Apr 21, 2024 at 1:39pm
In response to "Revisited: "Hack This""

I thought humans got bigger brains because extraterrestrials affected our evolution, and we eat processed chicken and eggs.

1 Like

#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

#2568. At Last
ID #1061966 entered on January 6, 2024 at 9:27am

#2567. Shrug It Off
ID #1061923 entered on January 5, 2024 at 8:48am

#2566. I Think I'm Out of 'Kid' Puns
ID #1061854 entered on January 4, 2024 at 9:15am

#2565. Wilson!
ID #1061794 entered on January 3, 2024 at 11:04am

#2564. Harder to Swallow
ID #1061745 entered on January 2, 2024 at 9:36am

#2563. Gratuitous
ID #1061666 entered on January 1, 2024 at 8:57am

#2562. Revisited: "Elsewhere in Minnesota"
ID #1061629 entered on December 31, 2023 at 9:21am

#2561. I Would Like a Word
ID #1061585 entered on December 30, 2023 at 9:13am

#2560. I Don't Know, But Alaska
ID #1061544 entered on December 29, 2023 at 7:44am

#2559. The Grammar Hammer
ID #1061512 entered on December 28, 2023 at 10:38am

#2558. Solipstick
ID #1061468 entered on December 27, 2023 at 8:38am

#2557. Biggerer
ID #1061420 entered on December 26, 2023 at 9:07am

#2556. Not So Facts
ID #1061384 entered on December 25, 2023 at 1:22am

#2555. Revisited: "One Great Thing"
ID #1061359 entered on December 24, 2023 at 10:18am

#2554. The Center Cannot Hold
ID #1061330 entered on December 23, 2023 at 6:45am

#2553. Working to Live
ID #1061303 entered on December 22, 2023 at 10:48am

#2552. Seasoning
ID #1061260 entered on December 21, 2023 at 8:38am

#2551. Cold War
ID #1061228 entered on December 20, 2023 at 10:13am

#2550. Human (maybe not so) kind
ID #1061184 entered on December 19, 2023 at 9:36am

#2549. Still Not Kidding
ID #1061132 entered on December 18, 2023 at 10:24am

#2548. Revisited: "This Day in History"
ID #1061098 entered on December 17, 2023 at 10:39am

#2547. Trip Review
ID #1061058 entered on December 16, 2023 at 9:48am

#2546. Exterior Deterior
ID #1061020 entered on December 15, 2023 at 6:39am

#2545. Almost Done
ID #1060980 entered on December 14, 2023 at 6:34am

#2544. One Thousand Four Hundred Sixty-One
ID #1060938 entered on December 13, 2023 at 7:19am

#2543. Words of Wisdom
ID #1060900 entered on December 12, 2023 at 12:09am

#2542. Revisited: "Cosmological Comedy"
ID #1060864 entered on December 11, 2023 at 1:04am

#2541. It's Not Beetlejuice
ID #1060821 entered on December 10, 2023 at 1:48am

#2540. Not a Thing
ID #1060766 entered on December 9, 2023 at 12:34am

#2539. Passed
ID #1060670 entered on December 8, 2023 at 12:31am

#2538. No Guaran-Tea
ID #1060633 entered on December 7, 2023 at 3:19am

#2537. I'll Pass
ID #1060600 entered on December 6, 2023 at 10:59am

#2536. Cracked
ID #1060561 entered on December 5, 2023 at 8:14am

#2535. Moving On West
ID #1060511 entered on December 4, 2023 at 1:19am

#2534. Revisited: "The Attempted Resurrection of Words"
ID #1060477 entered on December 3, 2023 at 12:05am

#2533. Travel Advice, Part 4
ID #1060436 entered on December 2, 2023 at 9:40am

#2532. Travel Advice, Part 3
ID #1060387 entered on December 1, 2023 at 12:43pm

#2531. Travel Advice, Part 2
ID #1060321 entered on November 30, 2023 at 6:58am

#2530. Travel Advice, Part 1
ID #1060279 entered on November 29, 2023 at 6:35am

#2529. Upward Spiral
ID #1060236 entered on November 28, 2023 at 1:15am

#2528. Wondering
ID #1060199 entered on November 27, 2023 at 9:16am

#2527. Revisited: "So Much Winning"
ID #1060145 entered on November 26, 2023 at 10:14am

#2526. I Might Have Overused the Word 'Doom'
ID #1060085 entered on November 25, 2023 at 10:04am

#2525. The Wave
ID #1060029 entered on November 24, 2023 at 8:37am

#2524. Who?
ID #1059989 entered on November 23, 2023 at 10:04am

#2523. Drinksgiving
ID #1059938 entered on November 22, 2023 at 10:00am

#2522. Lucky Streak
ID #1059874 entered on November 21, 2023 at 9:35am

#2521. Lucky Town
ID #1059817 entered on November 20, 2023 at 9:11am

#2520. Revisited: "On Merit"
ID #1059766 entered on November 19, 2023 at 8:56am

#2519. Big Mistakes
ID #1059681 entered on November 18, 2023 at 8:49am

#2518. The Way It Gose
ID #1059626 entered on November 17, 2023 at 6:42am

#2517. Beaujolais Nouveau Day
ID #1059568 entered on November 16, 2023 at 9:59am

#2516. Forgive Me, For I Have Zinned
ID #1059521 entered on November 15, 2023 at 10:05am

#2515. Cheesy Jokes
ID #1059476 entered on November 14, 2023 at 9:27am

#2514. Secrets Revealed
ID #1059420 entered on November 13, 2023 at 9:53am

#2513. Revisited: "Real Men Don't Worry About..."
ID #1059365 entered on November 12, 2023 at 9:43am

#2512. Snack Time
ID #1059300 entered on November 11, 2023 at 8:49am

#2511. Area 51
ID #1059254 entered on November 10, 2023 at 10:51am

#2510. International Tempranillo Day
ID #1059195 entered on November 9, 2023 at 10:07am

#2509. Harvey Wallbanger Day
ID #1059144 entered on November 8, 2023 at 9:40am

#2508. International Merlot Day
ID #1059079 entered on November 7, 2023 at 11:52am

#2507. Worlds Enough
ID #1059020 entered on November 6, 2023 at 10:21am

#2506. Revisited: "60 More Years!"
ID #1058937 entered on November 5, 2023 at 9:07am

#2505. Brew-tality
ID #1058881 entered on November 4, 2023 at 11:44am

#2504. A Brief History of Aliens
ID #1058811 entered on November 3, 2023 at 11:29am

#2503. Stout Day
ID #1058615 entered on November 2, 2023 at 7:36am

#2502. Shorter Hops
ID #1058428 entered on November 1, 2023 at 10:11am

#2501. Punctuated
ID #1058353 entered on October 31, 2023 at 10:59am

#2500. Martian Law
ID #1058293 entered on October 30, 2023 at 9:32am

#2499. Revisited: "Man"
ID #1058242 entered on October 29, 2023 at 11:11am

#2498. Hunter's Moon
ID #1058195 entered on October 28, 2023 at 10:00am

#2497. Carmine
ID #1058145 entered on October 27, 2023 at 10:14am

#2496. The Dark Side
ID #1058097 entered on October 26, 2023 at 10:06am

#2495. Is There Anything It Can't Do?
ID #1058039 entered on October 25, 2023 at 9:51am

#2494. Hunter
ID #1057967 entered on October 24, 2023 at 9:31am

#2493. Testing My Patience
ID #1057890 entered on October 23, 2023 at 10:00am

#2492. Revisited: "A Gift Beyond Price, Almost Free"
ID #1057828 entered on October 22, 2023 at 8:22am

#2491. The Optimism Trap
ID #1057789 entered on October 21, 2023 at 9:29am

#2490. Navy
ID #1057739 entered on October 20, 2023 at 11:11am

#2489. Crappily Ever After
ID #1057671 entered on October 19, 2023 at 10:39am

#2488. Rock Music
ID #1057617 entered on October 18, 2023 at 10:23am

#2487. Scarlet
ID #1057553 entered on October 17, 2023 at 9:15am

#2486. The Trouble with Quibbles
ID #1057492 entered on October 16, 2023 at 9:50am

#2485. Revisited: "Headline Questions Are Usually Answered 'No'"
ID #1057429 entered on October 15, 2023 at 9:53am

#2484. Quantum Mind Tricks
ID #1057351 entered on October 14, 2023 at 9:18am

#2483. Amethyst
ID #1057294 entered on October 13, 2023 at 9:40am

#2482. Weird Barbaric Idiot Geek Dicks
ID #1057227 entered on October 12, 2023 at 10:31am

#2481. The Old Tongue
ID #1057187 entered on October 11, 2023 at 11:24am

#2480. Chartreuse
ID #1057116 entered on October 10, 2023 at 10:40am

#2479. I Am The Law
ID #1057044 entered on October 9, 2023 at 9:11am

#2478. Revisited: "Another Avocado Article"
ID #1056983 entered on October 8, 2023 at 9:05am

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/sort_by/entry_order DESC, entry_creation_time DESC/sort_by_last/entry_order DESC, entry_creation_time DESC/page/2