Complex Numbers (Book)

Blog Calendar

◄ January ► 2023
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

About This Author

Contact Me

Come closer.

Complex Numbers

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

Show Recent Comments

10 Most Recent Blog Comments:

Writer_Mike

about 13 hours ago
In response to "Paris, I Guess"

Elisa: Middle Aged Stik

- I thought it very interesting, to say nothing of extraordinarily coincidental, that your video mentions a lock-adorned bridge in Paris. I just finished reading Spymaster by Brad Thor, in which the Russian mastermind takes strolls from Kaliningrad's mainland to Kant Island. The bridge he uses is also festooned with locks placed by couples declaring their undying love for one another.

1 Like

QPdoll

a day ago
In response to "Landmarks"

I hope you're enjoying every minute in France! What an opportunity.

2 Like

Wordsmitty ✍️

a day ago
In response to "Landmarks"

Hey! Why are the signs at that Mac's in English if you're in France?

With all that walking, I hope you stayed hydrated.

2 Like

Annette in France

a day ago
In response to "Paris, I Guess"

Bienvenue en France.

1 Like

WakeUpAndLive️~Happiness

a day ago
In response to "Paris, I Guess"

last one today:https://parisjetaime.com/eng/event/olivier-giraud-how-to-become-a-parisian-in-one-ho ur-e047

1 Like

WakeUpAndLive️~Happiness

a day ago
In response to "Paris, I Guess"

Could not resist sending the link: https://www.atlasobscura.com/things-to-do/paris-france

1 Like

Elisa: Middle Aged Stik

Sep 21, 2024 at 7:34am
In response to "Paris, I Guess"

Your remarks on Paris looking like many cities reminds me of this video (which I promise is short). It's a sassy look at Paris, and I'm here for it.

https://youtu.be/ByUPFYxy5vw?si=lT57RpTDntAhFdBs

2 Like

WakeUpAndLive️~Happiness

Sep 21, 2024 at 6:46am
In response to "Paris, I Guess"

if you have two hours to spare tomorrow? A beer bike tour in Paris. Check it out, still available. https://parisbeerbike.com/

3 Like

WakeUpAndLive️~Happiness

Sep 21, 2024 at 6:16am
In response to "Paris, I Guess"

Je suis sure, vous avez aimez la ville!!!!

2 Like

Aiva Raine

Sep 20, 2024 at 10:13pm
In response to "Get Baked"

FYI- basting them with olive oil before placing them directly on the oven rack- NO tinfoil- will allow the skin to crisp up a little as well and add a nice flavor to the skin. Recommend Idaho baking potatoes as well for best results.

January 24, 2023 at 12:02am

#1043587

AI See What You Did There

Lots of stuff about AI floating around. Cars, art, writing, etc.

It's not always a bad thing.

Artist Uses AI Surveillance Cameras to Identify Influencers Posing for Instagram
Dries Depoorter's "The Follower" project combines AI, open access cameras, and influencers to show behind the scenes of viral shots—without them knowing.

This article, from Vice, is fairly short, and I found it interesting, partly because of my photography background.

Dries Depoorter, the Belgium-based public speaker and artist behind the Die With Me chat app experiment, launched his latest project, The Follower, combining open access cameras and Instagram influencers.

On the other hand, I'm not a fan of precious artists.

Depoorter recorded weeks of footage from open access cameras, which observe public spaces, and which frequently have livestreams available online for anyone to access, that were trained on famous landmarks, including the Temple Bar in Dublin, Times Square, and the big sign at the entrance of Wrigley Field.

This part's important, because it emphasizes just how public this project is. It's not like he had to pull back much of a curtain.

The side-by-side comparisons between the casual-seeming photos the Instagram influencers chose to upload, and the footage of them laboring over the perfect way to hold a coffee, sling a jacket over their shoulder or kiss their date reveal how much work goes into a single photo for them—and how inauthentic the entire process really is behind the scenes.

As much as I loathe the entire concept of influenzas, and superficiality in general, I mean, that's a big part of what professional photography is: a lot of work. Sure, I spent a lot of time getting candid shots at parties, the kind of thing that anyone with a dumbphone can do now, but those are easy. Getting the right ligthing, the right pose, the right composition... that's work, and that's why professional photography is still a thing.

“If you check out all my work you can see I show the dangers of new technology,” Depoorter said.

I think the dangers are overreported. How about a project that exposes just how helpful some of this stuff is?

“I hope to reach a lot of people of making it really simple. I really don’t like difficult art. I like to keep it really simple. I think I’m part of a new generation of artists that work with technology.”

Everyone's hypocritical about something, but this juxtaposition—all within one paragraph of the original article—nearly broke my brain.

Capturing people in this way, unsuspecting yet fully public, feels like witnessing something intimate but also shameless.

Yeah, not really. To me, it feels like exposing the wires in a puppet show, or getting a tour of a clock tower, or watching one of those documentaries on the making of a Hollywood blockbuster: you see how the magic is done. That's not always a bad thing, either; once people know it's not effortless, perhaps they're less likely to feel inadequate by comparison.

It's like... you see your favorite celebrity, all slim and attractive, so maybe you feel like you got the short end of the beauty stick or something. But then you realize the amount of work that goes into that, and, okay, maybe it's not so natural after all. There still might be some feelings of inadequacy—in my case, I can't fathom doing that much work for anything—but at least you know there's more to it than just winning a genetic lottery.

It’s also a reminder that everywhere we go in the modern world, we’re being watched, even when we think we can curate and control what the world sees of us.

Isn't that what Elf on the Shelf is supposed to train your kids for?

4 Like • Comment • View 4 comments

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