Complex Numbers (Book)

Blog Calendar

◄ October ► 2021
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:

Brandiwyn🎶

a day ago
In response to "Blond Man's Bluff"

That's interesting about the two spellings of blonde. I always thought blonde referred to the person and blond referred to the hair. But I never bothered to look it up, So you've catered to my lazy today.

3 Like

Kåre เลียม Enga

Nov 9, 2024 at 1:02pm
In response to "It Was a Dark and Starry Night"

Ah... but why did he see those swirls when many of us don't? A totally different discussion... out of thin air... which is a frozen fog today when I gaze out the window.

Humans have great skills of observation; some of us extraordinary skills. Is The Scream depictive or evocative? 😱

Turkey DrumStik

Nov 9, 2024 at 11:04am
In response to "It Was a Dark and Starry Night"

Frankly, I'm more surprised to see reasonably good reporting from CNN. I'd given up on their ability to rein in their tendency toward loaded speech.

2 Like

JayNaNoOhNo

Nov 8, 2024 at 12:00pm
In response to "Bungalow Bash"

For the love of God, what did I just read? That is by far the worst use case of a bungalow I've ever seen, and a fundamental misunderstanding of the value of front porches—and the size of bungalows.

Was this his point? Nope, I know what his point was. For a guy so worried about presentation, he certainly undercut his own arguement.

1 Like

Turkey DrumStik

Nov 8, 2024 at 9:47am
In response to "Bungalow Bash"

"People don't change their minds on the internet. They usually do that in books, battlefields, or not at all.

Yeah, that's a little bleak."

Bleak and also inaccurate.

1 Like

Kåre เลียม Enga

Nov 7, 2024 at 10:19pm
In response to "Past and Future Intents"

I must live in the present. In the past I daydreamed a lot... probably to escape the bruises of reality; however, I need to be more aware crossing streets or even how I get out of bed (no rapid movements without thinking of consequences).

I can envision a future more peaceful than the present because this time-and-place isn't the only "present" that's ever existed, and I do try to see the larger view (emphasis on 'try').

1 Like

Lilli 🧿 ☕

Nov 7, 2024 at 10:58am
In response to "Past and Future Intents"

If the aforementioned exercises don't help; there's still liquor.

3 Like

Turkey DrumStik

Nov 6, 2024 at 10:22am
In response to "Lo!"

Not gonna lie I need the holiday season chatter.

Aiva Raine

Nov 5, 2024 at 3:03pm
In response to "It's Hard Not To Scare"

Shaking head. Aside from the inevitable Simpson's spider goat song playing in my head which I will now share with you below, whenever I come across a story that has all these scientists doing ridiculous experiments for no logical reason, I must go- ah- scientists- CANCER? You do remember that problem right? Can we maybe cure that before we make cockroaches magnetic and elephants see pink elephants?

spider pig clip- and if you all now are singing the spider goat song- you're welcome! grin
https://www.youtube.com/watch?v=BARjPuUN36Y

1 Like

Aiva Raine

Nov 5, 2024 at 2:55pm
In response to "Anomalies"

One of your more humorous entries- I especially enjoyed- "Lofoten Vortex can be the name of my Bjork cover band."

Thanks for the laughs. Much appreciated.

2 Like

October 25, 2021 at 12:01am

#1020062

Fonio

Entry #7 for the November edition of "Journalistic Intentions"

[18+]

Fonio

I'm moderately adventuresome when it comes to food, in case you haven't noticed. While I won't try the truly weird stuff, whenever something new comes along that's not, like, mud or bugs or something else with a high grossness factor, I'll usually give it a shot.

It took me a while to try Ethiopian food. If you've already clicked on the link, you'll see that fonio comes from about as far away from Ethiopia as it's possible to get while still being on the same continent, but I'm getting to a point here, so bear with me. So. Ethiopian food. When I was young, Ethiopia had a pretty well-known famine going on. There were all kinds of concerned PSAs on television with malnourished kids who had flies buzzing around them and whatnot. Very sad. And it turned out that, if I remember correctly, any food aid delivered to the country was intercepted by corrupt officials and rarely got to the kids with the bloated abdomens.

So when I first heard of an Ethiopian restaurant, I was like, "What, you go in and sit there with empty plates and watch rich people eat?"

But it turned out, when I finally went, they have an intriguing cuisine with a lot of tradition behind it -- as I would hope, since Ethiopia is probably one of the cradles of humanity -- but it also turned out that I didn't like it at all.

Does this mean I don't like any food from Africa? No, probably not. Africa's a big continent with lots of different cultures with foods I cerainly haven't heard of, just like I never heard of fonio before seeing it on the prompt list. And apparently fonio is supposed to be even "better" than quinoa, whatever that means. Also probably easier to pronounce. What is it with these grains and their nonstandard orthography for names, anyway? I couldn't find a source for how to pronounce fonio. I'm nearly certain, though, that it's not phony-o, which is what the plain reading of that word would be. Oh, no, we can't have that; it's gotta be a big secret, so people in the know can look down on us ignorant slobs, like with quinoa. "Yeah, I think I'll try the quin-o-a." Sneer. "You mean the keen-wa?" "Well, how in the fuck was I supposed to know how to pronounce it? Is your menu audio? No, it's got words written on it, and words are supposed to be spelled something like they're pronounced, unless you're French." "Ahem, anything else, sir?" "Yeah, lemme have the gee-oh-duck." Sneer.

No, I'm betting the pronunciation is like "phone-yo." But I'm not taking actual bets. For all I know it's pronounced like "asterisk."

Apparently, it's gluten-free, which to me is a major downside. I don't have celiac, so I like my damn gluten, thanks. But that's not a dealbreaker, unless I'm someplace where they're gushing about being gluten-free, in which case I'd leave and find a baguette somewhere made with actual wheat flour. So yeah, I'd like to give it a try, but only if smug trendy foodies who would gloat.

Best of all, though, you can even make beer out of it,

and I'm absolutely down for trying that. At least once. I've had beer made with non-barley grains, and some of it doesn't completely suck.

Now, let's try making whiskey out of it, too. That's healthy, right?

5 Like • Comment • View 2 comments

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