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Messages - TherosPherae

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271
General Discussion / Re: Things that made you go "WTF?" today o_O
« on: April 07, 2013, 03:06:38 pm »
The Windows troubleshooter actually fixed one of my problems.

272
So, think through the math involved in that image.
It's too late/early to think :P

273
All this talk of imaginary units and finite numbers, I have to ask something I've never understood: how are imaginary numbers useful in the real world? Are they actually used in the equations for calculating the position the wizard magnets need to be on Cern's LHC to create evaporating black holes? Do engineers use i to solve real mechanical problems at any given point? Do accountants use i to calculate the maximum profit point on a graph of price*volume sold vs. total profit or something?
It has a use in electronics with alternating current and capacitors and stuff. I'm not entirely sure what, though - I could explain it after digging in a textbook for a bit, but that sounds like it'd be a rather terrible experience for all involved :P

As for most other things, I've yet to run into someone using that definition of i for practical purposes. Of course, I'm still only halfway through my bachelor's degree, so I'm probably not the most credible source on such things.

274
General Discussion / Re: MSPA Homestuck
« on: March 24, 2013, 12:59:50 pm »
Have you ever been so mad you made a guy punch himself?

275
Or, potentially list of people willing to be pmed about maths?
I'm willing to be talked to about math, and even to try to help teach what bits I know. I can't guarantee I won't fall into the same trap many other teachers have of "this is the formula and there's not time to discuss how it works", though.

I guess it's part of the education issue nowadays. Though, I don't think mathematimcs is the only problem.
Yep. It's also a problem in physics, programming, and most subjects which require logical thinking - although it's most prevalent in math due to math's extremely basic nature.

276
Oh, this topic. I like this topic. So allow me to offer my take on it.

I, like many other kids, was put through the same rote math classes as everyone else - this "means" this, this is a law, et cetera. However, I was a bit of an odd child. Once, in the sixth grade, we were covering basic geometry - hexagons and squares and things like that. We were told to draw a hexagon. I was lazy, and I also knew that a hexagon was a shape with six sides. So instead of doing your standard "all six sides are equal with equal angles between sides" hexagon, I drew a top hat thing. I later had to go ask the teacher why this was graded as incorrect - after all, my top hat thing had exactly 6 sides, and that's what hexagons are, right? In the same class, I once got in trouble for using "donut" as a variable - the poor grader thought it was a zero. (That one was probably more my fault than theirs. :P) And after the latest graded math test would come around, everyone would sit there griping about story problems. I never understood how story problems were so difficult - I just poked around at them with the tools I had until out came an answer that made sense. How could it be so hard when analysis with the tools I was given was so easy?

The answer lies in how - similar to Lockhart's Lament - mathematics is treated. To me, a summation symbol, an integral, a derivation - these are not "laws" or "definitions", they're tools. I treat them like a painter treats a brush - I can use them to make areas, swirling monstrosities, or whatever I damn well please. I don't use them simply for the sake of filling out equations, or for exercise's sake. I try to use them in all sorts of ways to see what sort of weird things I can come up with, and figure out how they're really used. This treatment of functions and formulae has left many a fellow student simply stunned - I could solve problems that they couldn't think of solutions to, because I poked and pried and, with the tools I had been given, eventually found an answer.

However, I don't necessarily agree that education of mathematics as an art should be entirely about the self-discovery of the tools of mathematics. To use the painter analogy again, there are many great painters who paint with naught but their fingers or sticks, and do so beautifully. But there are also many painters who prefer the handle of a well-crafted brush, and don't necessarily have the knack for making their own.

I do a little bit of tutoring to supplement my learning - after all, there's that old idiom about how you don't really know a subject until you can teach it. And it's just amazing to me how very little people understand about the tools they're given - myself included. I've seen someone else - after a bit of explanation, usually including a touch of back-of-the-napkin geometry - come up with explanations for problems I never could. Because they had been shown how to use the tool they'd been given, which I still (hilariously) didn't know quite as well as I thought I did. It was sort of like (because I like the painter analogy) being shown that you can paint with the back end of a paintbrush, and that the lines are narrower than even the most precise application of the "normal" brush end.

Of course, if you tried painting with the back end of a brush in school, you'd start to get some very funny looks indeed, and probably even a strict reprimand from the teacher. Much like my attempt to use a "method" we hadn't yet "learned" in the seventh grade on a test.

So in conclusion, I'm still learning the elegance of mathematics - I'm probably still nowhere near Vector-tier, but the current system for learning it is most definitely a piece of shit. Children aren't being taught how to analyze or even exercising their ability to think - they're being taught to follow the path they're given, and, well, God help you if you ever run into something that's not on the path.

277
And really, when are you going to need to do ninety pythagorean theorums in an hour and a half. Really.
You won't. Everything uses sines and cosines nowadays; get with the program. :P

That said, I do in fact still use the pythagorean theorem occasionally for dynamics homework - whenever I don't want to deal with a/sin(arctan(a/b)) or b/cos(arctan(a/b)). Plus the few trig identities I know can be directly derived from the pythagorean theorem, so it definitely has its uses.

278
General Discussion / Re: Out of context and funny quotes thread.
« on: March 16, 2013, 06:53:47 pm »
Obviously the lucky charms guy is desperately trying to stop these pesky kids from cockblocking him.

279
General Discussion / Re: MSPA Homestuck
« on: March 16, 2013, 06:51:00 pm »
Andrew Hussie: Bringing new meaning to the phrase "they're after me lucky charms" since March 2013.

280
General Discussion / Re: MSPA Homestuck
« on: March 15, 2013, 05:21:24 pm »
I think we're all avoiding the major issue here, which is...

Why the hell are there meows in The Lordling? Isn't that Nepeta's thing?

281
General Discussion / Re: MSPA Homestuck
« on: March 14, 2013, 11:01:28 pm »
New album.

Still no Eternity's Shylock, although Eternity Served Cold is close enough.

282
Roll To Dodge / Re: Roll to Perish
« on: March 14, 2013, 07:06:23 pm »
Respawn in a helicopter. Fly AWAAAAAY.

283
Roll To Dodge / Re: Roll to Perish
« on: March 13, 2013, 07:49:40 pm »
Spawn.

284
General Discussion / Re: MSPA Homestuck
« on: March 12, 2013, 07:49:45 pm »
ME LLAMO ES DIRK, YO SOY TODOS LA PROBLEMAS
ME LLAMO ES JAKE, YO SOY TODOS LA PROBLEMAS TAMBIEN
ME LLAMO ES JANE, YO SOY MAS PROBLEMAS QUE LOS DOS CHICOS, Y ME CARACTER ES MUY... AMARILLO? I'm not sure. What was the word for boring? Jane is that.
Well I'm not sure what boring is, but amarillo is definitely yellow. I have no idea what having a yellow personality means.

285
These are supposed to be the rulers of tomorrow.
Are you implying that they just don't measure up? :P

In other RAEG, there's a university event I have to attend for a leadership organization tomorrow at 8 AM. Now, if I lived within a reasonable distance of the school, this wouldn't be a problem, but I just so happen to live at the ass-end of nowhere. So I'm going to be waking up at 6 AM on a Saturday, as though I didn't already have sleep issues. OH BOY.

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