1 more posts in this thread. [Missing image file: it appears you are trying to science.jpg]
I need help /sci/ I'm a dropout self employed engineer who's been self teaching himself for a while, and I recently had a cool idea for a project and I need guidance.
I need the formula for calculating the volume of oxygen that will be produced through electrolysis. Say I have 1 liter of pure H20, how do I calculate how many grams or liters of oxygen will be produced from that one liter of H20?
I understand there are a lot of unaccounted variables, such as electrolysis efficiency, temperature, pressure, ect but a general idea would really help.
Or a simple finger in the right direction/link would help.
13 more posts in this thread. [Missing image file: cosx.png]
In high school I was often bored and thus I played around with my calculator a lot. I noticed some interesting occurrences, but I'm just now trying to figure out the nature behind them.
For example, if you take the natural log of any number except 0 numerous times, the answer will eventually even out to the solution of " x = e^x ", or the "fixed point" of f(x)=e^x.
This number is approx. 0.3181315 + 1.3372357i
By this I mean, if you do ln(ln(ln(ln(ln(ln(ln(...ln(x) you will eventually get that number.
My first question: Is there's a standard notation to write "take the natural log of a number x or infinite amount of times".
Also, I am curious on how to solve for such equations that can't be solved algebraically or with any calculus I have learned so far.
For example, the solution to x = cos(x) can't be solved algebraically as far as I can tell, so how would something like that be solved (The answer, which would be the "fixed point" of f(x)=cos(x) is about 0.739085)?
Lastly, can the solutions I have mentioned be written in any non-decimal form? By this I mean, say you have this seemingly-random number "4.810477381...". At first it seems like it isn't related to anything, but it's actually sqrt(e^pi). Could it turn out that the solution to x = cos(x) is actually *exactly* the cos(of number probably involving pi or e)?
Thanks for reading, pic shows approximations for the fixed point of cos(x), one of the examples I was talking about.
0 more posts in this thread. [Missing image file: Gravity Waves from a Rotating System.jpg]
I just read an interesting scientific paper on what seems to be a practical design for a gravity-wave generator of useful efficiency. Admittedly, it was on the arXiv, so it's not the most credible source, so I'd like to ask you- can you look over this and tell me if it's legit? It's way outside my field of study.
Also, is it true that in some analyses, gravity waves colliding will create a static gravitational field?
I realize that, pending an actual detection of gravitational waves, that this is largely a question of theory and speculation.