Complex Numbers (Book)

Blog Calendar

◄ February ►
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
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:

tj-Merry Mischief Maker

about 15 hours ago
In response to "Extro Special"

I'll also use the spelling extrovert because if I use extravert my spell checker flags it. In college psychology our professor termed his own words, innervert and outervert because he thought they fit better. I, however, thought they sounded like definitions of belly buttons.

1 Like

Kåre เลียม Enga

about 21 hours ago
In response to "Extro Special"

I probably fit omnivert best. I'm temperamental.

Words change... definitions change... we change.

1 Like

tj-Merry Mischief Maker

a day ago
In response to "Sensational"

They say carrots can improve your eye sight, but it's been proven that drinking alcoholic beverages can make you see double.

After stating this, I find myself wondering why hasn't anyone tried fermenting and distilling carrots and marketing it as a vision tonic?

2 Like

🌖 HuntersMoon

a day ago
In response to "Sensational"

OK, look around you and observe (where possible) the reality of the newly revealed "facts." It's pretty clear that "Smartphones make you a hell of a lot of folks stupid."

2 Like

Elisa: Snowman Stik

a day ago
In response to "Sensational"

Thank you for reminding me to check on Retraction Watch.

https://retractionwatch.com/

3 Like

tj-Merry Mischief Maker

Dec 26, 2024 at 4:20pm
In response to "Gray Matters"

I wonder how many nine year old people have gray hair? I also wonder how much stress most nine year olds have?

3 Like

Wordsmitty ✍️

Dec 26, 2024 at 1:07pm
In response to "Gray Matters"

"who were between age nine and 39," - so the old folks need the rejuvenation formula first to turn back the years.

I wonder if anyone has studied why hair goes gray in certain places and not everywhere. Maybe different kinds of stress?

3 Like

🌖 HuntersMoon

Dec 26, 2024 at 10:00am
In response to "Gray Matters"

I've always believed "better gray than gone away..."

2 Like

tj-Merry Mischief Maker

Dec 25, 2024 at 3:02pm
In response to "A Mammoth Discovery"

This makes think of a book, "Evolution and Genomic Diversity" by Gene Poole.

1 Like

tj-Merry Mischief Maker

Dec 24, 2024 at 5:16pm
In response to "Hot Shoulder"

Maybe if we say, "Betelgeuse" three times in a row we can witness it.

1 Like

February 9, 2024 at 9:53am

#1063834

Running Stitch

Here's another one for "Journalistic Intentions"

[18+]

Running Stitches

My running days are long behind me. I'm a safe bet to take on a hike now, because of bears. If you encounter a bear, you don't need to run faster than the bear; you just need to run faster than your hiking buddy. This is, of course, one reason I avoid going *shudder* outside.

Not that I was ever great at running, anyway. I used to have some stamina, at least, but speed? Forget it. Short legs and lack of competitive instinct. I might have been okay at running a marathon, though I'd never have finished first, unless I was the only one running it.

Those times when I did try to run fast, for whatever reason, it never failed that I developed a stitch in my side.

I've never been really clear about why they call that particular stabbing pain a "stitch." It's a pang, a twinge, a spasm. The only other time I can think of when "stitch" is related to one's body is when there's a cut deep enough that they sew the edges of the wound together with stitches. As I have never had those kind of stitches, except in my eyeball, I can't compare the pain.

Eyeball stitches are no fun, though.

I suspect the word is used for running-related pain because the Germanic root means something like sting, or prick. Not that kind of prick; the kind a needle does.

For a long time, smart people who study these things weren't sure what caused a running stitch. Apparently, these days, it's technically called an exercise-related transient abdominal pain (ETAP).

I like to think they were trying to make a pun, because the French word for step is étape. In any case, that link attempts to explain its cause, though apparently, there's still some debate on the topic. I say its cause is exercise. You can avoid it by not exercising.

Because English is weird, "running stitch" also describes the most basic embroidery technique, but I don't know much about that, so I chose to rag on exercise instead.

4 Like • Comment • View 2 comments

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