Complex Numbers (Book)

Blog Calendar

◄ July ► 2019
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:

Write_Mikey_Write!

a day ago
In response to "Global Domination"

A little girl wearing a Hello Kitty shirt in Middle-of-Nowhere, Siberia will certainly make you wonder how it got there. My grandson has a souvenir t-shirt with a Terex 33-19 "Titan" on it. When it was built in 1973, the Titan was the largest, highest payload capacity truck ever built, a title it held for 25 years. The thing is, the truck on that t-shirt is on display in Sparwood, BC, Canada - over 1000 miles from here, and his mom got the shirt at a local thrift store. Makes me wonder.

Oh, yeah - I thought 'Schrödinger's Hello Kitty' was funny, too.

1 Like

Adherennium Plotting something

a day ago
In response to "Global Domination"

For whatever warped reason, 'Schrödinger's Hello Kitty' has tickled my funny bone.

3 Like

Brandiwyn🎶

Nov 12, 2024 at 10:50am
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.

July 7, 2019 at 12:12am

#962192

One Bourbon, One Scotch, One Beer

It’s the Sunday News! Reflect on the first week of July. Are you on track to meet you goals? What are your plans for the rest of the month?

Goals? Plans? A Jedi craves not these things.

I was wrong when I thought I knew the worst thing about losing weight.

First, I thought it was that I'd have to buy all new clothes. Well, it turns out that if you don't go out very much, you don't need many clothes, so my expenses in that regard have been minimal. It also turns out that no one gives a shit if you wear a t-shirt that's two sizes too big. Pants are another issue, but that's what belts are for. And it's not like my shoe size has changed. Still, I have a ways to go, so we'll see.

Then, I thought it would be discovering that it wasn't my weight that made people recoil in disgust whenever they encountered me, but my personality. There, it turns out I was mostly wrong; some people really are that shallow. That's okay. I can be shallow, too. (For many, it's definitely my personality. I can tell, because the "looks" ones immediately run away, while the "personality" ones wait until I say something, and then run away.)

But no - beyond all doubt now, the worst thing about losing weight is this: my alcohol tolerance has been severely diminished.

That's not an unmitigated negative - after all, it means less money spent on booze, and if there's anything I like better than booze, it's money. But sometimes I like to try several drinks in a short period of time; it takes advantage of my one superpower, which is being able to mix any type of drinks in any order without getting sick. None of this trying to memorize the whole "liquor before beer, never fear; beer before liquor, never sicker" thing. Or is that the other way around? Like I said, I don't have to memorize it, so I don't care. Point is, a lower tolerance makes it less useful as a superpower.

I discovered this last week when a friend of mine came to town for a visit. We visited two breweries and sampled selections of their wares, and by the time we were done with the second one, I was definitely feeling the effects; I'm not used to that. I haven't been drinking much in general, so lack of practice probably contributes.

This had the other effect, combined with the pastrami reuben I mentioned in a previous entry, of setting my weight-loss progress back two weeks. Oops.

Well, whatever. I'm just continuing with the eat-less-and-exercise thing, at least until I go to Vegas for a week in mid-August. That'll probably set me back a month, but since I'm planning on it, that's okay.

2 Like • Comment • View 5 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.