Shadow

Proofs are part of what I call "formal mathematics", because for the most part, they're just that; a formality. I know math couldn't exist without them, but it will never cease to irritate me that, as you said, even though we know something to be true, we still have to find the right words to express that truth, so that it can be considered valid and be built upon (excluding axioms, obviously). And that, from my point of view, is just so bureaucratic...

Think so I do not, to my ear it good sounds not, but I love Yoda. To please rhymes it lacks, vibrate my ear drum does not, in a lovely way. I really suck at this

9,970 one less to go...

I'll second that. And an art I'm not at all good at I might add

I believe these to be the loveliest (literally) graphs in the Universe. Credit to Pq who introduced me to the first "Heart Graph".

Knowing Pq, I believe he means it can be a source of fun, much like a toy. Also, I disagree with the implementation of an idea not being an art. I believe it is as much an art to find a solution as it is to implement it in a correct, efficient, elegant and robust way. But that's just me

Why, oh why did I miss that [math]4/3[/math] in your result Pq...apologies.

I made my own calculations, and the result differed from yours, so I checked with Maple, and it confirmed what I got... [math]T={\frac {300N}{3\,\sin \left( 37 \right) +4\,\sin \left( 53 \right) }}[/math] If you need the steps, let me know.

Incidentally, the very same question was posed today in our class, and our teacher answered in a manner which seems pretty logical to me. The walls of the object in which the gas is contained are moving away, and thus when the gas molecules impact the walls, they rebound with a smaller velocity. Hope that makes sense

What you're trying to achieve is pretty complicated. What will be the input?

or tax laws- credit Petanquell

so it would seem

When I threw it into Google most of the titles had the title circular motion....if that helps.

http://letmegooglethatforyou.com/?q=petanque&l=1

At least we now know Spock was a typo...

You're right, I should have Googled that before asking. But thanks for the information ;-) So, since there is a lethal dose, it is possible for the body to kill itself by releasing too much adrenaline into the bloodstream? Also, I was wondering, is artificiality the sole difference between adrenaline and epinephrine ?

I thought it had something to do with petanque...

So they don't know how much epinephrine one can inject without harming themselves? That's strange, I though you had to be real careful when introducing adrenaline to the body. I'm astounded no research has been done in this field. But thanks for your answers. Is it possible, with enough mental discipline, to control how much adrenaline get's released into your blood, or even release it at will? As in, has anybody tried? People can slow their hearts down, so why not this...it's certainly a lot more useful

Hi all, as far as I know, it's a long established fact that when the human body is under stress (ie. someone is chasing you with a gun), it will be able to accomplish physical (and mental?) feats impossible under normal circumstances. I haven't read up on this or anything, so I am unaware if there are other factors to be considered, but I am under the impression that adrenaline plays the biggest role in this. However, there are differences. For example, you might be under stress to catch a train for work you can't afford to miss, so you'll run faster than you normaly would. But if a killer with a 9 mil was chasing you, I think we'd all agree you'd be running a lot faster. So the burst of speed, or strength, or whatever, varies depending on the situation. My question is, how fast, strong, etc. are we really? I realize that depends on the individual, but is there any common limit beond we simply can't go? Also there is such a thing as adrenaline overdose....I was wondering if the body could overdose itself. Cheers, Gabe

DH, after having a quick look at Wikipedia, since I've never yet needed to work with vectors beyond addition, subtraction, and scalar multiplication, I'd say the cross/dot product? EDIT: Oh, you replied I only rely on maple to do the variable expressing, simplifying and expanding. I could probably do it myself, but it would take way longer. The only thing I don't really know is [math]x=[trig-function-here](\alpha), \alpha=?[/math] since we haven't covered inverse trig functions at school yet, but I could figure that part out. And TBH, who here would want to do [math]\frac{pq*sin(x)}{2}=\sqrt{s(s-p)(s-q)(s-t)}, s=\frac{p+q+t}{2}[/math][math], p=\sqrt{a^2+b^2}, q=\sqrt{b^2+c^2}, t=\sqrt{c^2+a^2}, x=?[/math] by hand. IMO it would just be pointless labor.

Oooooookay, finally got it. Maple's inability to distinguish between [math]ab[/math] and [math]a*b[/math] while freely interchanging the two itself will never cease to infuriate me. If I'm correct, or should I say if Maple is correct for a cuboid [math]a, b, c[/math] made out of rectangles with diagonals [math]p, q[/math], where [math]p=\sqrt{a^2+b^2}[/math] [math]q=\sqrt{b^2+c^2}[/math] the angle [math]x[/math] between [math]p[/math] and [math]q[/math] should be [math]x=\arcsin \left( {\frac {\sqrt {{c}^{2}{a}^{2}+{c}^{2}{b}^{2}+{b}^{2}{ a}^{2}}}{\sqrt {{a}^{2}+{b}^{2}}\sqrt {{b}^{2}+{c}^{2}}}} \right) [/math] Can anyone verify this? Cheers, Gabe

Not sure how that works. I've been trying for ages now to just use Heron's formula and [math]S=1/2a b*sin(\alpha)[/math] and isolate the expression using Maple, but it's just not working and it's driving me nuts. I'll give it a rest and try again in a couple of minutes...

Oh...right *blush* EDIT: Oops, I asked the question wrong. Edited.

Hey all, well, the title speaks for itself. Given a cube, what is the angle between the diagonals of two neighboring squares? Here's an illustration, just in case: It looks a little strange since it's a 2D picture, but I think you get the picture. Literally. My gut tells me it's either 45° or 60°, but...well, that's just my gut. the title almost speaks for itself. Given a cuboid, where [math]a \neq b \neq c[/math], how can I calculate the angle between the diagonals of two neighboring rectangles? Cheers, Gabe

Time shall doom us all...