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Awesome, very helpful beginners guide.
The only thing that bugs me are the lines: "Engineers love to use it." and "Mathematicians use this one a lot." Those lines just don't satisfy my inner "why?"
Might I suggest adding a "because..." to each sentence?
25% = 1/4
100% = 1
100% + 25% = 1 + 1/4 = 4/4 + 1/4 = 5/4
You start with one x, then you add 25% of x to that, and that makes 125% of x.
I'm not a football fan, but I am from New Hampshire so I think I'm geographically motivated to be against you on this topic.
So, boo to your Eagles, go Pats!
Oh, math, yeah... like I said, long day.
Thanks.
It could be just that I had a long day at work but... really?
a/c - b/c = (a-b)/c
No? I don't doubt that I'm wrong here (like I said: long day) you do tend to be awesome at this kind of thing, but I'm not getting it.
(I feel like such a fool).
That makes more sense, thanks.
I don't know, I think I just made it worse...
When you say "out-of-the-way" What do you mean?
Thanks, Anyone else?
How about polling a bunch of your classmates to find some cool fact like:
boys like video games more than girls.
older students hate school more.
Students who play sports get better grades.
I don't know if any of those above statements are true, but it would be kind of fun to find out (even if the info you find is only accurate for your region).
The question could just as easily be evaluate sinx seeing how
cotx = sinx
multiply both sides sinx
cosx = sin²x
Using the trig identity sin²x + cos²x = 1 we get:
cosx = 1 - cos²x
u = cosx
u² + u - 1 = 0
u = (-1±√5)/2
cosx = (-1±√5)/2 = sin²x
sinx = cotx = √[(-1±√5)/2]
It's been a while since I had to do trig, did I make any mistakes?
I have two books, both on subjects I'm fascinated by, both subjects way over my head.
The first is the four color theorem, the second on Abel's proof that the quintic is unsolvable.
Which would be more approachable for someone who's education only includes High school up to and including Calculus? Which is more interesting to you guys? Which am I going to get halfway through, realize it's much harder than thought and give up in a fit of rage?
You know, I'm embarrassed to say I've never seen that "general rule" before. It makes sense though.
You really do learn something new every day.
This is great! Ricky (or anyone else) do you have any more "things they never teach you in algebra." I'm looking forward to learning new things like number theory and what not, but I love to expand on my pre-existing knowledge (like Algebra).
Everything TheDude said in his post could be followed by a good algebra II student, and that's what makes it genius, this stuff makes me all warm and fuzzy inside.
Also, TheDude, you have a really sweet sig.
1+2+...+39+40 = 40(40+1)/2 = 820
23*72 = 1656
820+1656=2476
I think it's the vector notation I'm getting hung up on. The explanation: "In otherwords, he is defining two infinite lines, finding where they intersect, and then seeing if the lines fall within the boundaries of the line segments." really helps though.
Thanks for really breaking it down for me guys, and especially thanks for posting that fla.
Where do we place the emphasis?
ra MAN u jan
or
RA man u jan
Awesome Mathematician, One of my personal heroes. The only thing that's always gotten me: How do you pronounce it?
Can someone through out a phonetic spelling for me?
I find that depending on the difficulty of the subject, my training varies. I can get a pretty good understanding of a subject by just listening, but to know it completely, I have to practice with it a bit.
I really hate to say this but... what?
Am I missing something here? That still seems really confusing.
I'm on laptop, but use firefox (which is far superior to IE) I've yet to have a problem.
I'm working on a Flash game, and I can't come up with a simple algorithm to test if to line segments intersect.
I know I can do it, but as I go along things get more and more complicated (which means: more room for bugs) and I keep thinking there's got to be and easier way of doing it.
So I googled it, and came across this essay on a "sweep line algorithm" but that seems even more complicated then the way I was doing it.
Is there an easier way to do it? I know Actionscript isn't a very popular programming language (unless you're into game design) so if someone can just give me the theory, or maybe an example in C++ (that's the only other language I know) I would really appreciate it.
I really feel like I'm missing something here, this should be real easy, and yet...
Thanks everyone.
Ricky, your log explanation was particularly helpful, I guess it makes sense to just look at the context.
My math background is High school Calculus, and everything that comes before it, and I love math. I've been hanging out on these boards for a while now and I have a question that's really been bothering me...
I'm really getting hung up on notation. Before being on these boards, I'd never seen "∴" used anywhere. By clicking on the Latex code I figured out it means "Therefore." But What is the difference between "∴" and "⇒" i.e. when do I use one and not the other?
What are some other notations? Is there a symbol for "if" I'm pretty sure the symbols for "and" and "or" are shapes something like"U"s. What does " " mean? Is there a difference between American notation and British notation? Australian Notation? Canadian Notation? For example, I was taught to use "ln" for natural log, but books I read by British authors use "log" (which I use for log base 10).
This is quite frustrating for me, and it must seem like a really dumb question to most of you, but can someone help me out with this? Or at least send me a half way decent link? Thanks.