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 15, 2023 at 12:02am

#1043148

Revisited: "Meat the Press"

With over 2200 entries here, it's difficult not to duplicate entry titles. Oh, sure, I could do it, but that would involve taking the time to use the search function and possibly slogging through entries with the words in the body in order to see if I've used the title before. And that's work, which, as you know, I'm allergic to.

But it turns out that the title of today's archive post was one I used twice (and now, three times, sort of). in my defense, it's a great pun: "Meat the Press"

.

This one's from not all that long ago—while I exclude anything in the last 12 months from these revisits, this was 15 months ago. I just pick them at random. As noted in that entry, I was participating in "Journalistic Intentions"

[18+], so I'll take the opportunity to plug that contest now. I think the next round will get going next month, and it can be fun to see where the prompts take you. In the case of my linked entry, the JI prompts were all about food; Elisa: Middle Aged Stik

runs a different theme each time.

As for the entry itself, though, there's not a whole lot I need to add to it.

It's a good thing I'm tackling this now. Today and going into tomorrow, I'll need to be on a liquid diet. And not my usual liquid diet, either. So I expect to be mind-destroyingly hungry, which is never how I want to be when I'm reading or writing about food.

That intro might be confusing taken out of chronological context, so I'll explain: being the age I am, I occasionally get to have a camera shoved up my ass. As a former photographer, I'm used to people wanting to shove a camera up my ass; fortunately, in this case, it wasn't my camera, and I'd be unconscious for it. Point being, apparently, the procedure was scheduled for shortly after that entry, and I was about to start the necessary preparations for the procedure, which involve taking copious laxatives and not eating anything (or drinking beer).

For the record, not that anyone cares, but it turned out that I didn't get all that hungry during the prep, and I got a clean bill of health afterward. You'd never know it, though, the way I overuse semi-colons. (I see an opportunity for a pun and I take it.) I don't remember if I ever followed up to mention that, so I'm doing it now.

Still, it would have been annoying to write about food during a period of fasting.

And that's about all I have to elaborate upon, so read (or re-read) the entry if you want. Unfortunately, the video the prompt is based on is no longer available. It's not required viewing, though. As I recall, it was moderately interesting, although, naturally, not nearly as fascinating as my writing.

2 Like • Comment • View 2 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.