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.
Asking doctors for advice has its own pitfalls. Because there is no money in recommending a sensible nutrition pattern, they will say things like: Look it up online.
Shame on you for making fun of the Hoggs. Being a Virginian, Bob, you should know the reverence that the name Hog inspires recalling the glory days of the Washington Redskins (now the Commanders). The Hogs
I have four different accounts and each one has a purpose. Savings, personal debit card, auto draft debit card, and a b8lls account. The bills account is the only one that can overdraft as it's for manual big bills like rent, cell, electric, etc. Stuff that mist be paid. The rest are blocked from overdraft and the savings account has no debit card attached. My bank accounts have been hacked too many times so I keep it this way to protect myself. It is very rare I ever pay an overdraft. I have a money market account for money greater than $10K so it gains interest and isn't touched except emergencies. That is a secure account too.
Thailand versus Montana versus New York versus Costa Rica.
Theft? Not in Thailand! Not a huge concern in Missoula, perhaps in NYC, definitely an issue in Costa Rica.
Violence? Not a huge concern in Thailand. More so in MT, NY and CR (where it wasn't a concern years ago), definitely a problem in Saint Louis and the US in general. El Salvador is known for violence.
Death by vehicle. Not a huge concern in either NY or MT. A rising problem in Costa Rica. Thailand is one of the worst places in the world in this respect.
You may be shot and killed in parts of the US but you're more likely to be run-over in Thailand.
"But if you want to really see how anger is useful, you need to consider how it's used as a tool for manipulation."
This is a line that must be regarded with care. After all, there are people that get angry about the way they are being treated on a large scale and harness that anger to change their circumstances. There is some level of manipulation in this angry but still legitimate flavor of activism. We do have to consider the possibility that this angel's usefulness can have net benefits (such as environmental cleanup and protection; see the Live Canal as an example).
Working in health care for a zillion years, I've heard it all. The whole thing about something being natural, therefore it would be good for a person is very, very, very...very prevalent. An internist I worked with had a fantastic comeback to that line of thinking. She would say, "Arsenic is natural, are you going to start taking that?"
Write about some important life skills that are rarely taught but extremely useful?
Oh man. This prompt almost makes me wish I hadn't drank beer followed by tequila earlier, leading me to pass out only to wake up due to the alarm I set for myself at midnight to remind me to post a blog entry.
Almost.
I mean, come ON, there is no other rational response to everything that's going on right now.
Consequently, despite having been asleep for hours whilst dreaming of living in a sane universe, I am still drunk.
Which brings me to my first Important Life Skill That Is Rarely Taught But Extremely Useful:
Coping.
Instead of actually teaching this, we throw kids of various socioeconomic backgrounds together in a blender and hope that things work out between them. This allows them to quickly figure out whether they're considered worth defending or not. Unless they play sportsball, the answer is "not."
And this is somewhat related to the second Important Life Skill That Is Rarely Taught But Extremely Useful:
Critical Thinking.
One does not have to be an Advanced Supergenius like me, or even have moderate intelligence, to learn how to think critically and discern truth from propaganda. On the other hand, even the most otherwise intelligent people will fail at this unless they are taught how to spot bullshit.
I don't want people being told what to think. But teaching people how to think needs to be an integral part of education.
This is probably unrelated to a final Important Life Skill That Is Rarely Taught But Extremely Useful:
Finance.
People generally have a bad relationship with money. Sure, money is an abstraction, but it's a important abstraction for dealing with life's vicissitudes. Some basics of personal finance are better being taught early, and one cannot trust parents, who have not learned such skills, to convey them to their children.
I had to pick these things up from Life, but some people never seem to learn.
There are probably other things, but... again... tequila. Which may not be the best way to cope, but I never claimed to be an expert in any of the above areas.
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