Function

Let's say, the average person. That's an amazing quality! However, could we assume that when it comes to our own safety, we are becoming less and less instinctive?

Why, yes, indeed! Wouldn't it be awesome if someone were to invent some sort of 'instinctive coefficient', between 0 and 1, meaning how responsive any organism would be to an environmental changement? I'd love to see a proof of my presumption, for it's not really answered yet (will the human wake up if the sound is suddenly stopped?)

Well, that, I see as a "yes" to my question Now an additional problem: will the organism wake up if the environmental changement is being brought in slowly (e.g. +/-1 dB/min)? If no: could the changement be implied faster when a human is the subject than when e.g. a dog or a cat is the subject? In your case: would Andres's dog have waken up if he played the tune more silently over time?

Very interesting, indeed.. But the changement of situation in my 'problem' isn't really so small.. let's say that one can fall asleep while a constant, clear tone (doesn't matter to me what frequency) of 100 dB. Will he wake up (out of his REM-sleep) when the tone is suddenly stopped? (Let's assume that after the tone stopped, there is 0 dB of sound.) (I assume one will wake up when this tone is suddenly played in a quiet environment in which one fell asleep)

Hello Yesterday, I was wondering something: When a person falls in sleep in a complete dark, silent room (0 dB; let's assume the person's breathing and heart beating etc. doesn't make any sound). When he's in the REM-sleep, and suddenly, a sound is being produced, he will most likely wake up. When a person falls in sleep while the same (let's say, constant) sound is being played on the background, will he wake up (let's say in the REM-sleep) when the sound is suddenly deactivated?? My guess would be: yes: the brains are used to the sound and I think that when they register a sudden change of the situation, they will wake you up? (The same could be asked for light, instead of sound) Thank you for answers or reasoning. Sincerely Function

1. Well, I didn't know if 'my' notation is correct, for this part of maths is self-taught to me too 2. Thanks

Hello everyone I have 2 questions: First of all, I'd like to know if these (notations) are correct: [math]\left(u_n=\sum_{i=0}^{+\infty}{10^i}\right)\equiv (1,0,1,0,1,0,\cdots )\bmod11[/math] [math]\left(u_n=\sum_{i=0}^{+\infty}{10^i}\right)^2\equiv (1,0,1,0,1,0,\cdots )\bmod11[/math] Secondly and finally, I'd like to know if it's possible to prove that the row [math]\left(u_n=\sum_{i=0}^{+\infty}{10^i}\right)=(1,11,111,1111,11111,111111,\cdots)[/math] has no prime numbers in it (11 excluded)? Thank you! -Function P.S. Could the title please be changed to "2 characteristics of the row (1, 11, 111, 1 111, ...)"? Thanks.

Fighting.. whut now? Last thing we want is to provoque agressivity, right

Yes, well... I already believed that in primary school..

I'm asking anyone here if he/she is susceptible to peer pressure

And now a more personal question: do you make yourself guilty at peer pressure?

Thanks. So, what Derren Brown has 'proven' in his "Game Show" is peer pressure? The de-individualisation of an 'individu' when brought into a group (most preferrably anonymous)

Hello everyone I was wondering if there was a name for this most cruel phenomenon: When in a group, certain people won't think for themselves anymore and, because of group pressure (and wanting to fit in,) they accept the opinion of other members of that group and pretend like they follow that opinion, because of fear of being outcasted. Thanks. Function

Very well.. I shall. I'll leave it unplugged for the night. (Btw, note that there's an ink mess on the right of the inside of the printer (at the 'ink cartridge at rest side') (it's like a bomb of ink exploded in there..) Edit: Sad.. the problem is persistent.. Anything else?

Hi everyone I have a Canon Pixma MP160 3 in 1 printer, and it is about to get me mentally disturbed: since yesterday, the paper won't come through (only a small corner of the paper) and thus the printer gave me an E3 error (paper stuck). Now, I discovered I had a USB-stick 'flown' in the paper container part which prevented the paper from flowing through. So now, the paper will come through correctly. "Yay", you'd say, but nothing is less true.. The printer is.. well.. 'stuck' on the E3-mode, and I can't get it 'out' of it; I've tried the program MPTool, but this won't do anything (it recognises the printer, but won't load the information, since the printer still thinks there's paper stuck inside). I've tried a manual reset: plug out power cable, plug back in, hold cancel button and on/off button, press cancel button 2 times, release buttons and so on.. But it won't do anything.. Now, when I turn it on, it just shifts through very slowly a sheet of paper, still giving the E3 error afterwards. Is there anyone who could help me? (It's pretty urgent...) Thank you very much indeed. Function

edited; is it now a correct notation?

Hello everyone I'd like to know if following notations are correct, as first steps in order to get the canonical equations for a parabola, ellips and hyperbola: Parabola Given the focus [math]F\left(0,\frac{p}{2}\right)[/math] and directive [math]d\leftrightarrow y=\frac{-p}{2}[/math] of a parabola [math]\mathcal{P}[/math]. [math]\mathcal{P}:=\forall P(x,y):\left|PF\right|=d(P,d)[/math]. Ellips Given the focusses [math]F_1\left(c,0\right)[/math] and [math]F_2\left(-c,0\right)[/math] of an ellips [math]\mathcal{E}[/math] with main axis [math]2a[/math]. [math]\mathcal{E}:=\forall P(x,y):\left|PF_1\right|+\left|PF_2\right|=2a[/math] Hyperbola (same as ellips but with - instead of +) Are these notations correct?

Thanks. P.S. What's the function of "\left." in your TeX code?

Hello everyone Pretty stupid: I was wondering how you can write "the derivative of a function f(x) in a" (to use in proofs), using [math]\frac{d}{dx}[/math], not just [math]f'(a)[/math]: [math]\frac{df}{dx}_{x=a}[/math]? [math]\frac{d}{dx}f(a)[/math]? [math]\frac{df}{dx}(a)[/math]? [math]\frac{df}{dx}_a[/math]? Something else? Can someone help me on this one? Thanks. Function.

Hello everyone I'm making myself a new problem concerning kinematics, trajectory, ... And I'd like to know something: if a car with FWD jumps over a ramp: 1) Is it already following a parabolic 'trajectory' when the front wheels leave the ramp? Or only when the back wheels also don't touch the ramp anymore? 2) Can the car (theoretically) land on the ramp on the other side in that way, that the back wheels just make it on the second ramp? I know this might sound a bit awkward, but here's the problem: assume that the car will hit the second ramp with his front wheels at a point (x,y) as defined in y = y0 + xtan(theta) - gx²/(2v²cos²(theta), will it land in the same positioin as it took off? (well, horizontally mirrored in reference to its direction at take-off) Will the back wheels be perfect on the 'edge' of the second ramp? --> Will it land parallel to the second ramp? If something isn't clear, please ask.. Thanks! Function

Not the best place to put this question, I think.. Try the lounge On-topic: try to play with the word "proton", for "proton" would be somewhat.. too obvious: Notorp, Pornto (well.. now that I write it, it's a bit less... scientifically ) Nortop, Tropon, ...

Thanks guys.

I'm afraid I don't understand exactly what you're saying..

Suppose the latter is true; what do you do? Something that has the lowest result or the highest? Or the closest to the experimental result? Imagine you're making a physics test. Would you take the trig. numbers & discriminant into account (let them influence the sig figs)?

Very well, then. Thank you for your help so far! Now, I've found a 'less vague' formula (n is defined more clear) for squaring the series 1, 11, 111, 1 111, 11 111, 111 111, ... [math]\left[\sum_{i=0}^{n-1}{\left(10^i\right)}\right]^2 = \sum_{i=0}^{n-1}{\left(i\cdot 10^{i-1}\right)}+\sum_{i=0}^{n}{\left[\left(n-1\right)\cdot 10^{n-1+i}\right]}[/math] with [math]n[/math] the number of times "1" appears in the term on place "n" of the series, represented by [math]\sum_{i=0}^{n-1}{\left(10^i\right)}[/math]. My final question: (how) can this be proven? (Or is this something which can be accepted solely by assumptions and axioma's?)