Recent content by rollingstein

Suppose I have a tank which is made of steel coated with a thin layer of glass on the inside to protect the steel from corrosion (the material stored inside the tank is corrossive; say for arguments sake Water with 10% Hydochloric Acid). In theory, till the glass is intact there is an...

Ok, I did get your answer but by an ugly brute-force method: My approach: Out of 128 total permutations I discarded the ones in which A lost by counting only for those rows with 4 or more "A"-wins. Next, I manually replaced each "A"-win element by either a 0.55 or a 0.45 depending on which...

How did you solve it! I'm so stuck. I brute force listed all 128 ways the game outcomes may turn out. i.e. a 128 x 7 grid of A / B combinations. Of course not all tournaments will run 7 games. But I'm stuck. What next?

Thanks again @mfb! I get 51.56612% actually. But I wasn't sure how many digits to use to avoid overstating the accuracy of sims. Out of curiosity, what's the exact analytical answer just to see how close I got. :)

Yes. Thanks @mfb. My bad. I do mean A A B B B A A I've corrected my post.

Someone posed this Stat / Probablity problem to me: Two teams A vs B play a tournament of seven games against each other. First team to won 4 games wins the tournament. The games are split over each team's home stadium as A A B B B A A. Historically the home team wins a game 55% of the time...

Thanks! I guess, informal manipulations seem very unlike the rigorous process I'm used to seeing in math & hence my confusion. Great that you clarified that: ##\displaystyle \sum_{n=0}^{\infty} {n}=+\infty## This I can grok. It is a rigorous, exact statement. Additionally, it agrees with my...

I've been reading a bit about the very intriguing summation \displaystyle \sum_{n=0}^{\infty} {n} and it seems \frac{-1}{12} is the result but apparently with a lot of subtleties and caveats. It is those that I am trying to understand now. At first reading it appeared totally incongruous to...

Understood! Thanks. So, does "regular" paint work with bronze or are there a special class of paints for bronze?

Ok, thanks. So to find a piece of equipment in bronze that has been painted over isn't unusual?

Are bronze items typically painted? Or can they be painted? I'm used to seeing native bronze in its native color in equipment but in one context someone sent me a Photo of a shipboard fire pump that is supposed to be bronze. Is this likely to be bronze? Of course, I'm looking at other more...

Suppose I have an overhead tank that heats hot water by natural circulation via a thermosiphon (& a Heat Exchanger with some source of waste heat), is there a limitation on how tall this loop can be? e.g. Can there be an elevated tank at 30 feet with a heat exchanger at ground level that heats...

Is there any reason to think that life need conditions more hospitable to originate than to merely to exist in?

You are right. I'd prefer a somewhat long tank rather than a square one for this purpose. Something like a 6 x 2 by 2.5 tall (To allow some free-board without spillage over the top the total volume could be 30 m2 with a 25 m2 of actual water)

Exactly. The idea is to see if the reinforced concrete can be either eliminated or at least reduced to its use for columns alone. Basically, just like a house can be built on load bearing columns with the floor structure transmitting their load to the columns is a similar design possible for a...