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. |
After that bit of head-stretching yesterday, here's something a little closer to home: Admittedly, "boring" is subjective. By what criteria? Are your expectations too high? Are you a teenager and find everything boring? Do you live in a big city and wish someone would mug you more often? Well, I've been to all but three states in the US, so I obviously have my own thoughts on this list. 1. Nebraska According to the next traveler Nebraska is the most boring state in America, and they stated that there is nothing that would motivate them to visit again. And naturally, this is one of the three states I haven't been to. But assuming it's an average of Kansas and South Dakota, sure, traveling across it probably induces boredom.. They seemed to believe that the state lacked excitement and allure compared to other states. Many fellow Americans agreed, and another stated, “There is nothing but cornfields.” What? You don't like to eat? You don't like to drink bourbon? You have some deep-seated hatred of farming culture, despite, you know, depending upon it? I can believe Nebraska is boring to drive through. However, statements such as these say more about the urban ennui of the statement-makers than about the subject matter. 2. Delaware Oh, come on. You just included this one so people couldn't go "that's why they call them flyover states." The commenter wrote that all three counties of it are nothing but an elaborate tax dodge masquerading as a state. That bit is legitimately funny. Like, three counties in a trench coat pretending to be a state. 3. Kansas Yeah, well, see above. 4. North Dakota I admit I had to play little games with myself while driving across North Dakota in order to alleviate the boredom, but the state has a unique beauty to it. That probably extends across the border into southern Manitoba and Saskatchewan, but I have no first-hand evidence of this. The worst thing about ND, from my perspective, was trying to find a place to crash. There was an oil boom going on while I was there, and everything was full. 5. Iowa I... kinda love Iowa. Not the politics or anything, but the scenery. It's not nearly as flat, or as uninteresting, as people make it out to be. Maybe this is because I don't use interstates on my road trips. 6. Ohio Despite being the birthplace of many famous individuals, such as the Wright Brothers and Neil Armstrong, this traveler believes that Ohio is lackluster regarding things to do and see. The user argues that Ohio is simply a state to pass through rather than a destination worth stopping at. They acknowledge Ohio’s impressive record of producing more astronauts than any other state but ultimately deems it insufficient in excitement and interest. Oh, fuck right off with that. You want excitement? Stay in NYC and L.A., and leave the rest of us alone. We don't want you, either. On the other hand, it could be that so many astronauts come from Ohio because they felt a deep-seated desire to get as far away from the state as possible... I won't quote the rest, other than to say that one of them, Michigan, is also one I haven't yet visited. (The third one I'm missing is Alaska.) But it's clear to me that some of these responders have no sense of adventure, or beauty. Despite my gripes above about driving across certain plains states, fact is, I'd do it again. Sure, I have a much higher tolerance for what others consider boring, but in practice, it's a beautiful country with lots of hidden gems scattered across it. I'd do it all again. Hell, even getting stranded in South Dakota a couple of years back ended up being quite the adventure. In short, if you find one of these states boring in general, that's on you, not the state. |