Complex Numbers (Book)

Blog Calendar

◄ March ► 2023
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:

Writer_Mike

about 9 hours ago
In response to "Paris, I Guess"

Elisa: Middle Aged Stik

- I thought it very interesting, to say nothing of extraordinarily coincidental, that your video mentions a lock-adorned bridge in Paris. I just finished reading Spymaster by Brad Thor, in which the Russian mastermind takes strolls from Kaliningrad's mainland to Kant Island. The bridge he uses is also festooned with locks placed by couples declaring their undying love for one another.

1 Like

QPdoll

a day ago
In response to "Landmarks"

I hope you're enjoying every minute in France! What an opportunity.

2 Like

Wordsmitty ✍️

a day 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.

2 Like

Annette in France

a day ago
In response to "Paris, I Guess"

Bienvenue en France.

1 Like

WakeUpAndLive️~Happiness

a day 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

a day 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

a day 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

Sep 21, 2024 at 6:46am
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

Sep 21, 2024 at 6:16am
In response to "Paris, I Guess"

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

2 Like

Aiva Raine

Sep 20, 2024 at 10:13pm
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.

March 7, 2023 at 11:14am

#1046051

Umami

Thanks, everyone, for supporting my humble [Narrator: it's not humble, and neither is Waltz] blog for not just one, but two Quill awards for 2022! I'll try to keep up the... whatever it is I'm doing right.

Today's article is from 2019, and it's about food science, so in the last four years, things might very well have shifted to the other side, back, and then back again. Still, it's worth reading.

The Rise and Fall and Rise Again of MSG
You probably know monosodium glutamate from its link to so-called ‘Chinese Restaurant Syndrome’ — and that’s precisely the problem

I'm sure I mentioned MSG in here recently, in a comment about things named something that resembles "glute."

I’m a casualty of the MSG subterfuge. I was fooled more than a decade ago — when I was still an impressionable high school student in the suburbs of L.A. In “the valley,” the main street — Ventura Boulevard — was beset by sushi spots, weed dispensaries, and of course, a bevy of Chinese restaurants.

Subterfuge? Never attribute to malice what can better be explained by ignorance or incompetence.

For the uninitiated, monosodium glutamate, more commonly (and ominously) known as MSG, is a chemical compound often used to enhance the flavor of food. It’s kind of like salt, only supercharged.

There have been shifts in the demonization of sodium salts in general, too, but that's not what this one's about.

So despite its unsettlingly scientific moniker, MSG is nothing more than sodium mixed with one of the 20 amino acids crucial to the human body.

This is why I promote science. "Unsettlingly?" Come on.

The substance was originally discovered by Japanese chemist Kikunae Ikeda in 1907, after he noticed a common flavor between foods like asparagus, tomatoes and the broth his wife made with seaweed. “Ikeda was as enterprising as he was curious, so soon after his discovery, he refined and patented a way to produce pure glutamic acid, stabilizing it with a salt ion to create what we now know as monosodium glutamate,” reports Mahoney. “He called the company he founded to produce MSG Ajinomoto (‘the essence of taste’), thus forever linking umami, the taste, with glutamic acid, the chemical. It remains one of the largest producers of MSG in the world today.”

As the article notes, it would be nearly a century before umami was recognized as a separate taste along with sweet, sour, etc. If the name sounds Japanese, that's because it makes sense for it to be Japanese.

“So at the beginning of the 1960s, a writer named Rachel Carson published a book called Silent Spring, which is about the dangers of pesticides and chemical companies.” Carson’s book, says Germain, spurred an idea “that became really popular in the U.S.” — namely, that chemicals and additives that are made artificially are inherently dangerous and able to harm you in mysterious ways.

The only thing worse than ignorance is ignorance that's spurred on by fear-mongers. Lots of "artificial" stuff is, at worst, neutral; lots of "natural" stuff can kill you (see my many rants about mushrooms found in the wild, for example). And that's not even getting into the arbitrary line between the two.

Germain continues to say that just a few years later, in 1968, Dr. Robert Ho Man Kwok — a then-recent Chinese immigrant — wrote a letter to the editors of the New England Journal of Medicine, stating that he got headaches when he ate in Chinese restaurants, but didn’t get them with his own home cooking, reasoning that the culprit might be MSG. “Almost immediately, this idea caught on and it just exploded,” says Germain.

You know what this reminds me of? The bullshit "vaccines cause autism" paper, which was later revealed to be bad science—but only after permanent damage was done to society.

Beyond the dubious nature of these studies, there’s also the simple fact that MSG isn’t unique to Chinese food — it’s in everything from Campbell’s soup to Doritos to Ranch dressing, not to mention that it’s naturally found in, for example, kelp. So why, then, did Chinese restaurants shoulder the brunt of the MSG hysteria?

I'm going to guess... racism?

“At the base of it, it’s really xenophobia that’s been passed down,” says food and travel journalist Kristie Hang.

The best thing about being a pessimist is that you're either proven wrong, which is good, or proven right, which is also good.

According to Wallace, in spite of the fact that you’ve probably heard someone tell you that they have an “MSG intolerance,” or that they’re “allergic to Chinese food” because of the MSG, the truth is, that’s physiologically impossible, considering “seven pounds of your body weight is actually made up of glutamic acid.”

Eight, after ordering takeout.

For those reasons, Wallace says that even though there’s been plenty of pressure advocating for an MSG ban, it’s always remained on the FDA’s “generally recognized as safe” food list.

Probably known in California to cause cancer, but that's because, in California, everything causes cancer.

Interestingly, Hang tells me that it’s not just non-Chinese people who share the anti-MSG opinion. “Chinese and Chinese-Americans have thought very lowly of their own food as well,” she says. “It’s a cultural perception, unfortunately.”

Well, considering that what we consider "Chinese" food here isn't really Chinese, that's kind of understandable.

That's enough for today. As usual, there's a great deal more at the article, if you're still unconvinced.

3 Like • Comment • View 3 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.