Complex Numbers (Book)

Blog Calendar

◄ September ► 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
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.

September 2, 2019 at 12:28am

#965382

Waltzing towards Bethlehem

PROMPT September 2nd

As you may or may not be aware, in the early days of Writing.Com, SM and SMs hosted in-person Conventions for members! From everything I’ve heard from the site’s veteran members, these get-togethers were beyond memorable and so inspirational. Take a trip to the past by reading this item advertising the 2006 WDC Convention: "Writing.Com Convention 2006"

. Then, share your thoughts on what a Convention hosted today might look like. Where would it be hosted? How many members could attend? What activities would take place? Who would you want to meet in person? Have fun!

Oh, man... that's a blast from the past.

I just went over the 30DBC participants list this month, and realized that, if memory serves (and, increasingly, it doesn't) I'm the only one of us who was there.

That's right - I attended the 2006 Writing.Com Convention. In some ways, it seems so long ago; in others, it feels like just last month.

I was, if you can believe it, the newest member at the Convention. I even got an actual plaque confirming that. I still have it, displayed in my home office. At the time, I was a Preferred Author; I can't remember exactly when I got my blue suitcase, but it was shortly thereafter.

But you'll forgive me, I hope, if I don't visit the given link. I am, as you know if you've been following along, prone to depression - less so, these days, but still, a trip down memory lane involves tiptoeing through a minefield.

If you're interested, however, I still have my convention recap. The story is loaded with links to other author portfolios, some of which, sadly, are broken now, as some of the members are no longer with us. The title, by the way (which I blatantly stole from my younger self for the title of this entry), is a reference to the Convention's location in Bethlehem, PA, near WDC World Headquarters (aka The StoryMaster's basement).

I solemnly swear that every word in this is true.

Waltzing towards Bethlehem

(18+)
And what rough beast, its hour come round at last, Waltzes towards Bethlehem to be born?
#1135858 by Robert Waltz

There was a recap contest, and that item took second place. But since the first-place winning entry is no longer available, what you have there is, objectively, the best recap of the 2006 Writing.Com Convention that you will ever lay eyes on. If that doesn't fill you with existential dread, nothing will.

As for a Convention today... well, one can only dream. PA is a nice place, and Bethlehem is certainly convenient for Staff, but I feel like it could be better-attended if it were near a major hub. For selfish reasons, I'd pick DC or the New York area. At one point, Staff tried to host a mini-convention in Newark, but sadly, that turned out to be a bust - except that I got to spend the day with two of my good friends: one who got me to sign up here in the first place, and another whom I met at the 2006 Convention. We went to a comedy club, and we drank quite a bit.

In terms of what activities I'd like to see, well, drinking of course. Okay, maybe the prompt meant official activities. All I can say there is what worked in 2006 could still work today: writing workshops, naturally; Open Mic Night; a disco (hey, maybe we could combine the two and have some karaoke - wait, where are you all going? Come back!); auction; etc.

There have been so many new people joining us since 2006. I've met a few, but would love to meet everyone else.

Just... no zombies this time, okay? Deal? Deal.

6 Like • Comment • View 7 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.