[Archive!] Pure mathematics, physics, chemistry, etc.: brain-training problems not related to trade in any way - page 487

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alsu:
It does not depend, unfortunately, on our will. Thanks to a certain category of personalities who consider themselves the chosen ones, the subject hasn't been closed for five hundred years.

You know... well, hopefully...

You know, there's this... dreaming... flying. searching and finding...

 
Richie:
alsu, And now a question for you personally.

You know Paschen's law, of course. Forget about pressure. Explain why the dependence of the arc ignition voltage on the distance between the electrodes is non-linear? I'll tell you right away - you won't be able to do that. And where there's non-linearity, there's "money"...

All right, that's it, I'm done arguing with you.

I beg your pardon, that I intercept a question to alsu, but he did not study in our steam locomotive technical school. And just there the head of my department was corresponding member of AS UkrSSR Grigory Illarionovich Leskov, one of the largest specialists of the country in the study of the arc discharge. I have no doubt that your education and scientific title will allow you to find the answer in this monograph and finally close the subject.

Leskov G.I. "Electric welding arc" 1970. Download.

 

WHY?

 
 
Mischek:

On a table in a completely dark room there is a deck of 52 cards. Ten of them are turned upside down and spread across the deck. There is no way to distinguish them by touch, no way to turn on the light, no way to take the cards out of the room.

Task: divide the deck into two parts so that each has an equal number of cards lying face down.

Whoever decides, please don't post the solution at once.

 
sergeev: WHY?
What do you mean, why? It's one of the greatest formulas of analysis!
 
TheXpert:

Ten of them are turned upside down and spread across the deck.

10 is that in what number system?
 
PapaYozh:
10 is in what number system?
If it's in the decimal system, I get it. But I won't tell you yet :)
 
I haven't figured it out yet. I know how to divide the deck and what to do afterwards to make sure the numbers flipped are not equal.
 
PapaYozh:
10 is in what number system?
In any system from 6. (Provided that 52 is the same).
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