Not for the faint of art. |
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. |
I've said before that "natural" as a food or other product label is bullshit. Good to know Cracked has my back. You donât have to be an Amish man, churning butter and spitting distastefully at the idea of an electric can opener, to admit that the grip tech has on our lives is a pretty tight one. I like it that way. Could do with less surveillance, but other than that, bring on the convenience. So what is there to do? What humans do best: violently overcompensate for something that upsets them by swinging back in the other direction. See also: tiny houses as a reaction to McMansions; "cluttercore" as a perfectly reasonable response to Marie Kondo. This sort of panic pops up in all sorts of ways, from going back to flip phones, to deciding to eat like cavemen (despite the fact they were never known for their health). Health, no. Probably stronger than fuck, though. But that wasn't because of what they ate, but how they caught it. As such, thereâs been a massive movement of ânaturalâ products that have come along to capitalize on peopleâs distrust of words that start with âdi-â and end in â-ateâ, and, looking at their price tags, I do mean capitalize. Everything you eat or drink is made of chemicals. So, in usual fashion, five items on a countdown list. 5. Natural Peanut Butter A jar of classic Jif or Skippy is an absolute delight in every possible way. Cutting into that perfect plateau atop a new jarâs contents, watching it curl and collect along the blade of a knife and then spreading it like sweet mortar onto your delivery method of choice. Dammit, now I'm hungry. Goddamn porn writers... I guess this one's a matter of opinion. I kind of like the "natural" labeled kind. I prefer almond butter, though. 4. Natural Deodorant Natural deodorant. That old borderline oxymoron. Hereâs a tip: If anyone ever asks if youâre wearing natural deodorant, it means you smell like an upside-down porta potty. This. Once we were thoroughly sold on the idea that we should smell like soap and not like human, there was really no going back. For most of us though, the reason given for using natural deodorant is mostly avoiding aluminum, for antiquated reasons that plenty of scientists now say arenât proven. I thought aluminum was just used in anti-perspirants, which I know come bundled with deodorants, but you can get the kind of the latter that's not also the former. 3. Oil Pulling I first heard this referenced maybe a year or so ago? I don't know; my time sense is warped. And my mind went, "bullshit." It comes from ancient medicine dating back to hundreds of years B.C. You know, back when they had medicine super figured out, and everyone was the epitome of health. Somehow, itâs come roaring back, mostly thanks to the kind of people who spend $200 a month on crystals because dying is scary. Unsurprisingly, the general medical consensus on the practice is, âLook, if you want to dump a bunch of oil in your mouth, weâre not going to stop you, but also, this is probably bullshit.â Yeah, maybe they gave up on it because it wasn't doing squat. Doubt it's harmful, though, so whatever. 2. Hair-Growth Cures There are only two things proven to slow or reverse hair loss, and neither of them grow on trees: Theyâre the medications finasteride and minoxidil, and even they arenât guaranteed. If youâre wondering if some new natural, simple hair regrowth solution works, the answerâs right in front of you, in the form of a world full of balding men that sure wouldnât like to be. It's questionable that one can consider most hair loss to be something that must be "cured." Want to be "all-natural?" Accept male pattern baldness; it's called that because it's genetic in origin. Now, I understand wanting to not be bald. But I also understand leaning into it like Jean-Luc Picard. 1. Vitamin C I know, I know. Iâm sorry to come for your precious packet of no-sick powder, especially in a time of public health panic. But mega doses of vitamin C, in whatever form you ingest them, have been proven time and again to be psychosomatic more than scientifically helpful. Funny thing about the placebo effect (which is psychosomatic): if it works, why not take advantage of it? I'd always heard that you can't overdose on Vitamin C, that excess isn't bad for you. And that's probably true in doses that won't explode you first, though there is a such thing as too much of anything. But what is bad for you is spending a bunch of money on something that doesn't work as advertised, especially when you need to save that so you can pay at least part of your inevitable medical bills. In the end, "all-natural" is a marketing strategy, nothing more. Plenty of natural things will make you sick or otherwise mess you up, like poison ivy or the mushrooms I've talked about in here before. While there are certainly human-developed chemicals that are dangerous, too, having a knee-jerk reaction to all of the stuff they put in food is probably taking things a bit too far. |