jonah2.0
Full Member
- Joined
- Apr 29, 2014
- Messages
- 544
WARNING: Beer soaked rambling/opinion/observation/reckoning ahead. Read at your own risk. Would be readers can take it seriously or take it with a grain of salt. In no event shall the wandering quixotic math knight-errant Sir jonah in his inebriated state (usually in his dead tired but mentally revived inebriated state) be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the use of his "enhanced" beer (and tequila/absinthe) powered views.
Denis-Sensei, are you still there?
Boy, what a dummy I am. I was going about it all wrong. I think I found a better way (and immediately thought of King Richard III's retort to Lord Stanley, "What need'st thou run so many miles about when thou mayst tell they tale the nearest way?").
Beautiful. Why indeed Lord Stanley?
If M is the median between two numbers, the second of which is 15% below the first, I'd wanted to find a formula that gave b for any value of M:
b
|
M
|
0.85b
M is equal to b minus half the distance between b and 0.85b, or
M = b-(b-0.85b)/2
Solving for b,
M = b-b(1-0.85)/2
M = b-0.15b/2
M = (2b-0.15b)/2
M = b(2-0.15)/2
M = 1.85b/2
2M = 1.85b
b = 2M/1.85
Checking with M = 3,000 as before:
b = 2(3,000)/1.85 [?]
b= 6,000/1.86
b = 3,243.24320.85b = 2,756.7567
Did'st thou perhaps meant
b= 6,000/1.86 = 3,243.243342...
and
.85b = 2,756.756757...
I assume this is the best approach?
Not too sure about that.
It may be a matter of personal taste.
Methinks me liketh the more intuitive first approach.
This struck me in the haze of waking up this morning.
It's called subconscious assimilation.
You think about a problem long enough, you're bound to come up with something.
In my case, I try to accelerate that process with a "little bit" of alcohol consumption.
The advantage of alcohol based eureka moments is that you don't mind doing all the preparatory work. The unwilling part of your psyche just breaks down and most, if not all, of your inhibitions about getting down and dirty with math work just goes away. If you're lucky, you might even think it's a good idea to follow in Don Quixote's footsteps and be a math knight-errant yourself.
I once had to work as a graveyard digger and I realized that I don't mind digging at all under a blistering sun as long as me and my buddies are happily hammered. Same deal with math work. You won't mind doing all those mind numbing math exercises and problems when you're hammered.
But that's enough about beerlosophy.