|
About This Author
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.
| |
Warning: I've been drinking. But I still wanted to do another prompt from "JAFBG"  [XGC].
There's a difference between ignorance and willful ignorance. What reality do you wish people would face?
Ignorance is our natural state.
It is also our natural state to combat this ignorance by learning shit.
People who refuse to learn are therefore fighting against nature.
As we are fallible minds, the only effective way to approach reality is through systematic trial and error. Making judgements based on singular events leads to misconceptions. It's like... say you've just learned how to ride a bicycle. You're out on the street enjoying this newfound skill, when someone in a car cuts a corner and knocks you off your bike. That's your one and only data point, so you stop there. You might decide, all bloody and bruised and shit, "Fuck this bike-riding noise; I'm going to stay in a car where it's safe."
But that ignores the large number of people who ride bikes without ever being hit by a car, or the traffic accident statistics. Your experience is an outlier, but you don't know that, because you're living it and it's the only experience you know. Sure, cycling has its dangers... but so does driving a car, or sitting at home, or doing literally anything. Yes, some things are more hazardous than others, but again, if your only data point is your own experience, you'll end up with a warped view of reality. You might spend years taking showers every day, secure in the knowledge that it's perfectly safe, until one day you slip in the tub and crack your head open. Surprise, it wasn't perfectly safe after all.
At first glance, everything is binary. Either you get hit by a car, or you don't. Either you contract a dreaded disease, or you don't. Either you die in the shower, or you don't. Either the jump off the bridge kills you, or it doesn't.
But life doesn't work like that. There are always outliers, but by definition, they're not representative. To use a current hot-button issue, sure, some people die after getting the covfefe vaccine. Statistically, this is inevitable, just as it's inevitable that some people die from being in a car or an airplane. This ignores that more people die from NOT getting the vaccine, or that the death might not have had the vaccine as proximal cause, or that there are far, far worse outcomes from illness than mere death. There's always nuance, and it often contradicts one's lived experience. This is why people like me rail against "anecdata," the stories people tell that inevitably go against the majority experience. (I'm aware that my own situation is similar, which is why I'm going to suck it up and get the cataract surgery; the numbers are on my side on this.)
Vaccines (ALL vaccines), by the way, are real-life trolley problems. Can we ethically justify taking actions that will have negative effects on a small minority, in order to avoid negative effects on a larger population?
My answer is yes. Qualified, depending on the actual numbers involved.
It's a similar situation with self-driving cars. Right now, the technology is in its infancy, I'll grant. But also right now, every year in the US, about 35,000 people die in auto accidents. Many more are injured. That's obviously not an exact number, but whatever; the exact number is irrelevant to the point I'm trying to make, which is that we have decided, as a society, that the benefits of being able to drive cars and trucks outweigh the costs in life, property, and injury from driving cars and trucks. I'm not contradicting this. But what if we come up with a method to decrease that fatality statistic by 1,000? 3,000? 10,000? What is the threshold number that will make us, as a society, say "You know what? This is worth it to do?"
To hear some people talk, any major change such as turning over control to an algorithm would require a reduction in transportation fatalities to zero -- which is a completely unreasonable number. Sure, it would be nice, but wouldn't it also be nice to, say, just reduce it by one standard deviation? To have, instead of 35,000 fatalities in a year, 31,500?
Yes, I know, these numbers are really only meaningful as compared to total population in a particular country or whatever. I'm just throwing out figures here to make an argument, not to be absolutist.
The perfect cannot be the enemy of the good.
When I started writing this, I thought my answer to "What reality do you wish people would face?" would be "That science is imperfect but it is still the best means we've ever come up with to understand our universe." But I think I want to be a little more focused than that. Not just science, but statistics and probability.
But that would require people being comfortable with math, and also with accepting the idea that their lived experience may not be representative, and I don't see that happening anytime soon.
Yes, I could have just seen it on Netflix. But then I wouldn't have gotten the theater experience, or the drafthouse experience.
One-sentence moviecomedy special review: Bo Burnham: Inside
Funny and relatable as all hell, this guy's genius is all over the place, and it's totally worth seeing in the theater or on streaming -- but some comedy is best shared with a large group of like-minded strangers.
Rating: 4/5
|
© 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.
|
![Merit Badge in Quill Award
[Click For More Info]
Congratulations on winning Best Blog in the 2021 edition of [Link To Item #quills] !](https://images.Writing.Com/imgs/writing.com/writers/badges/group-Quill_Award-1375927_6.gif)
![Merit Badge in Quill Award 2
[Click For More Info]
2022 Quill Award - Best Blog - [Link To Item #1196512] . Congratulations!!!](https://images.Writing.Com/imgs/writing.com/writers/badges/group-Quill_Award_2-1375927_6.gif)
![Merit Badge in 30DBC Winner
[Click For More Info]
Congratulations on winning the Jan. 2019 [Link To Item #30dbc] !!](https://images.Writing.Com/imgs/writing.com/writers/badges/group-30DBC_Winner-2064535_14.gif)
![Merit Badge in Blogging
[Click For More Info]
Congratulations on winning an honorable mention for Best Blog at the 2018 Quill Awards for [Link To Item #1196512] . *^*Smile*^* This award was sponsored by the blogging consortium including [Link To Item #30dbc] , [Link To Item #blogcity] , [Link To Item #bcof] and [Link To Item #1953629] . For more details, see [Link To Item #quills] .](https://images.Writing.Com/imgs/writing.com/writers/badges/type-Blogging-2180.gif)
![Merit Badge in Highly Recommended
[Click For More Info]
I highly recommend your blog.](https://images.Writing.Com/imgs/writing.com/writers/badges/Kudos-Highly_Recommended.gif)
![Merit Badge in Opinion
[Click For More Info]
For diving into the prompts for Journalistic Intentions- thanks for joining the fun!](https://images.Writing.Com/imgs/writing.com/writers/badges/genre-Opinion-1150.gif)
![Merit Badge in High Five
[Click For More Info]
For your inventive entries in [Link To Item #2213121] ! Thanks for the great read!](https://images.Writing.Com/imgs/writing.com/writers/badges/Kudos-High_Five.gif)
![Merit Badge in Enlightening
[Click For More Info]
For winning 3rd Place in [Link To Item #2213121] . Congratulations!](https://images.Writing.Com/imgs/writing.com/writers/badges/general-Enlightening.gif)
![Merit Badge in Quarks Bar
[Click For More Info]
For your awesome Klingon Bloodwine recipe from [Link to Book Entry #1016079] that deserves to be on the topmost shelf at Quark's.](https://images.Writing.Com/imgs/writing.com/writers/badges/group-Quarks_Bar-2046190_12.gif)
