Complex Numbers (Book)

Blog Calendar

◄ April ►
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:

Wordsmitty ✍️

about 2 hours 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.

1 Like

Annette in France

about 13 hours ago
In response to "Paris, I Guess"

Bienvenue en France.

1 Like

WakeUpAndLive️~Happiness

about 17 hours 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

about 17 hours 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

about 22 hours 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

about 23 hours ago
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

about 23 hours ago
In response to "Paris, I Guess"

Je suis sure, vous avez aimez la ville!!!!

2 Like

Aiva Raine

a day ago
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.

Sum1's In Kalispell Montana

a day ago
In response to "Get Baked"

I have long advocated using only the oven for baked potatoes, and am guilty of punching holes in the tops of one. I don't use Aluminum Foil either. But my other half likes to nuke them first, or only nuke them. It's the speed thing for her. I prefer to take my time when I cook, and do things the way I do them, not her way. But, sometimes, ,ya gotta keep the peace in the house. She won't buy Russet potatoes, but those are the only ones to use for this. I may have to exert a little effort an buty Russets just for Baked Potatoes. She loves the English Chips (really enjoyed those in England when I was there, so maybe she'll like the link I sent her (from you!))

2 Like

Cubboo!

a day ago
In response to "Get Baked"

Yes! I discovered this a few years back (slitting the potato about 1/4 - 1/2" lengthwise, then one or two slits across the longer slit.) It came out wonderful! It seems like this was called an English jacket potato, or something like that.

2 Like

April 5, 2024 at 8:11am

#1067635

Plurality

This article, from Slate, has been, like a customer at the DMV, patiently waiting over four months to be called up. And it's 9 years older than that. But, despite the headline and date, it's not time-sensitive; grammar and spelling rules are timeless. Sort of.

How to Make Your Last Name Plural This Christmas Season

Nothing quells my Christmas cheer as quickly as a stray apostrophe. Every year they assault me.

Oh, you only notice them in December? Then you haven't been looking.

Usually it’s in the middle of an otherwise quaint moment: I am padding around my parents’ house, wearing pink slippers, sipping on some hot chocolate. Snow is falling outside the window, and Josh Groban’s Christmas CD is filling the downstairs with peace on earth and mercy mild. My mother is baking a pie. She’s about to ask if I want to lick the spatula (which, duh, I will).

Remarkable; 12-year-olds are writing articles these days, while other writers struggle to make money.

First, though, I find a stack of Christmas cards and begin to flip through them—pausing to marvel at how big so-and-so’s kids have gotten. And then I spot it: an apostrophe in a last name that isn’t supposed to be possessive.

This part, I absolutely relate to.

Gone is my Christmas cheer! All my glad tidings, replaced with fury.

Look. I get it. It pisses me off, too. But if that's all it takes to turn you into the Hulk, seek help. Maybe I overestimated her age, above.

Okay, okay, kidding. I recognize hyperbole when I see it. Usually.

This year I’d like to preempt the pluralization problems. It’s mid-November now, time to order Christmas cards again.

The holiday season starts earlier every year. It could be that, by waiting this long but not long enough to write about this article, I'm contributing to Christmas creep. But, given the prevalence of year-round Christmas stores in the US, I don't think my small contribution makes any difference.

I have created a brief guide to help you pluralize your last name. It is my humble attempt to preserve not only apostrophe protocol but also the dignity of the letter S.

You should visit the link just to see this chart. It's both informative and funny.

In summary, if you're writing in English, every surname adds either -s or -es to become plural, and an apostrophe doesn't belong anywhere near it, unless the name already has one like O'Brien. I have no idea how they do it in other languages.

Q: Why do people add apostrophes?
A: I have no idea.

Neither do they.

I have an alternative suggestion, though, since so many people misuse apostrophes, putting them in where they don't belong, or omitting them where they do belong:

Instead of "Happy Holidays from the Smiths," consider: "Happy Holidays from John Smith, Jane Jones, Braden Smith-Jones, Kaylee Jones-Smith, Fluffy, and Stinky. (Don't look at us like that. Braden was four when he named the dog.)"

It's not like you have to get the damn things engraved at a printer, these days, and get charged by the letter.

Besides, calling the whole household by one last name perpetuates the myth of the nuclear family, and enforces the hegemony of the patriarchy. We can't have that, now, can we?

I bypass the whole thing by remaining singular.

And not sending holiday cards.

4 Like • Comment • View 2 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.