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In Reply to: nope, he's from tsa-gi :) posted by gnat on July 27, 2000 at 23:51:29:
'Tsa-gi' is Central AeroHydrodynamic Institute, dad is just
a normal :) soviet engineer.I presume - retired now? Is TsAGI still strong? I believe they have lost a lot of their personnel.
<<<
It's all in derivatives to me.
f(x)=a^x, g(x)=x^a,
f'(x)=ln(a)*a^x, g'(x)=a*x^(a-1)
When x = a, we get f'(a)=ln(a)*a^a, g'(a)=a*a^(a-1)=a^a
f'(a) is less than g'(a) when ln(a) is less than 1, i.e
when a is less than e***This determines functions behaviour near the intersection
point, including which one increases faster.
Yes, absolutely true. The simple graphical analysis doesn't tell you where they intersect, just that they do.>>>
***Otherwise
it seems to be wrong, sorry. :) I didn't calculate, but
I SWEAR that say, 2.69^2.71 is LESS than 2.71^2.69No need, your formula tells it all.
***That's not to me. I'm also familiar with a few guys like your
friend Leon. And I always admired their ability to provide not
just proper, but ELEGANT solutions - thing impossible to me.
***I have to admit that the first time I got exposed to this concept
of decision making as science I was very fascinated.
Many professions - astronauts, nuclear plant operators, commandos,
even government officials are trained in this.
Most people never get to see it.***This resonated in me for some reason.
<<<***Gee I NEED such a training!
All you would need (and I am not for a second suggesting this - BTW!) would be few weeks with my wife. She would put relentless pressure on you - C'mon now, decide already! She firmly believes that all major decisions (and the resulting responsibility for the wrong ones) must fall on my shoulders. She will go with most of them but reserves the right to crucify me for bad ones. Stalin - Zhukov relationship, if you will. Freedom to make decisions for as long as you make good ones...
I'have managed to stay from the family Gulag for this long...
***Hey Victor, can you pass to Leon this related problem:***when a > 1 and a not equal e, a^x and x^a have ANOTHER
intersection besides x=a. How to find it analytically???? :)
I've spent last 3 or 4 days masturbating my brain over it,
but I still "can't get no satisfaction", darn.I gave it to him. I don't see much of him anymore, unfortunately, but just as random chance would dictate, he stopped by my office yesterday, right after you and I talked here.
BTW - explaining things like that to him is NOT trivial - he always starts asking questions that seem orthogonal to your problem.
I suspect we may get kicked out of the Film forum soon.
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Follow Ups
- Right kind of dad - Victor Khomenko 06:39:12 07/28/00 (0)
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