Complex Numbers (Book)

Blog Calendar

◄ March ► 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 8 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

a day ago
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.

March 8, 2023 at 8:57am

#1046080

Behave

Time now for another prompt from "JAFBG"

[XGC]

There are many influences on a person's behaviour and personality - their upbringing, stress, mental health issues, pain, etc. At what point do you feel a person has to take responsibility for their own behaviour?

One might be tempted to conclude that someone, like myself, who doesn't accept the idea of free will, would think that the logical conclusion is that none of us are responsible for what we do.

This is arrant nonsense. Not that we don't have free will—that debate won't be settled anytime soon—but that we're not responsible.

The way I look at it, what we do have is knowledge of potential consequences. As a simplistic example, I like to drink, and I like to drive, but I never combine the two because I know that a) it's hazardous to other, uninvolved (some might say "innocent," but that's misleading) people, and b) there are severe penalties for it.

Lack of free will is no excuse for behaving badly. It's not a ticket to licentiousness or a justification for choosing that pizza over a big steaming plate of broccoli. (It also doesn't mean that our actions are predictable, any more than you can predict where an individual raindrop will fall during a storm. But that's irrelevant to the prompt.)

It doesn't mean we can be irresponsible or avoid facing consequences. The awareness of potential consequences is baked into the background of every choice we seem to make. In other words, just because we could not, in hindsight, have taken a different course, doesn't mean that we can't strive to do better in the future, with updated experience and knowledge.

That said, there are people who are genuinely unaware of consequences: the very young, for example, or the mentally ill. Where those lines are drawn can be (and often is) debated. So you ask me: at what point does a person have to take responsibility for their own behavior? Well, at all points... with exceptions. Even the US legal system recognizes that; you're not fully responsible until you're 18, and you can be declared incompetent even as an adult. The default, though, is that every person is responsible once they pass that magical milestone. Except, of course, when it comes to drinking; then, it's 21.

We've also decided, as a society, that self-inflicted disinhibition doesn't absolve one of responsibility; see, for example, my drinking and driving note above. That extends, in my view, to acting like an asshole because "that's just who I am."

So, to sum up, I don't fucking care what your excuse is; if you know it's wrong, don't do it. And if you do, accept the consequences.

6 Like • Comment • View 5 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.