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.
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?"
I will be 75 in July. My stepdaughter gave me a bike because I wanted to ride it again. Well, I started off shaky and stayed shaky...then I fell off it...A passing motorist stopped to help me get up...I have NOT been back on that bike and will not ever again.
it illustrates why it's important to have people from different backgrounds, with different worldviews, working on scientific research.
This right here is why I get rather irritated by people poo-pooing college these days. I feel like that attitude effectively shits on minority populations that may not have strong finances but do possess persistent curiosity and want to learn about various subjects in-depth. In the 90s, these groups were exclusively told to go to trade schools even if they had the aptitude for college education. Nowadays the blanket "Everyone should consider a trade" mantra employs a more subtle (but still abundant) form of discrimination. I'm so over it.
Write about a community service or volunteer experience you’ve had in your life that made an impact on you.
None.
I realize that makes me look like an asshole, so I'll elaborate so that I look like even more of an asshole.
It's not that I've never done such things. Especially in college and just after, I tried doing things like volunteering at a soup kitchen and doing some work with Habitat, but those didn't last long and I can't say they made an impact on me except, maybe, to reinforce for me just how much I hate doing work, regardless of how good a cause it supports.
Also, I've never been in trouble with the law (well, not serious trouble), so I was never sentenced to anything like community service.
And I am fully aware that I'm extremely fortunate to have never been on the receiving end of volunteering or community service, so I can't say they've made an impact on me from the other direction, either.
No, I'm committed to being lazy. So when I get the inexplicable urge to do something beneficial for anyone other than myself, it's usually with money or property, not *shudder* work.
I do have to admit, though, that sometimes, at least in the Before Time, I got it in my head that it might be good to volunteer at the animal shelter. I'd get a rare chance to socialize with other people, and more importantly, maybe pet some kitties. But then I remember exactly how much I despise picking up doggy-doo (the primary reason I don't have a dog is I won't do that), and I'm pretty sure they make all the newbies pick up doggy-doo.
Well, that, and it would be impossible for me not to adopt all the kitties.
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