General Forums > Academic / School
The Puzzle Thread!
rabbit:
I object. nslay's "puzzle" is really just advanced math, while the others are cleverly disguised math. I demand he reword the "puzzle" into a word problem involving logicians and hats.
nslay:
--- Quote from: rabbit on March 18, 2011, 08:17:14 am ---I object. nslay's "puzzle" is really just advanced math, while the others are cleverly disguised math. I demand he reword the "puzzle" into a word problem involving logicians and hats.
--- End quote ---
It turns out to be very easy if approached the right way. It took me a while to figure out anyway.
Joe:
--- Quote from: Sidoh on March 17, 2011, 04:29:31 pm ---
--- Quote ---You have 100 pennies. Exactly 50 of them a heads-up, but you don't know which ones. If you're blindfolded, how would you divide the pennies up into two groups with an equal number of heads? Repeat the same exercise when exactly 10 of them are heads-up.
--- End quote ---
--- End quote ---
By feeling the pennies. I probably couldn't do it, but my blind friend Kevin probably could easily.
Where is DD's solution? It's early but I don't see it in the thread.
Falcon:
--- Quote from: Joe on March 18, 2011, 11:31:29 am ---
--- Quote from: Sidoh on March 17, 2011, 04:29:31 pm ---
--- Quote ---You have 100 pennies. Exactly 50 of them a heads-up, but you don't know which ones. If you're blindfolded, how would you divide the pennies up into two groups with an equal number of heads? Repeat the same exercise when exactly 10 of them are heads-up.
--- End quote ---
--- End quote ---
By feeling the pennies. I probably couldn't do it, but my blind friend Kevin probably could easily.
Where is DD's solution? It's early but I don't see it in the thread.
--- End quote ---
2. PM answers, add posts to ask questions.
Whats the point of it if we can already see solutions? ;)
And I agree with rabbit and object to nslay's thing being a puzzle, it is just a pure math problem you have to work backwards to get the solution from, given the conditions. Sidoh's original puzzles don't require any complex math, just simple reasoning and deduction to get a solution. In order to solve the math problem you would have to know some advanced math to understand the notations used to describe the problem, not to mention a knowledge of linear algebra to understand matrices and their transpose and properties of them. O yea and integration also, not to mention it just isn't even interesting to solve! Therefore I demand it to be removed thanks :)
nslay:
--- Quote from: Falcon on March 18, 2011, 12:21:45 pm ---
--- Quote from: Joe on March 18, 2011, 11:31:29 am ---
--- Quote from: Sidoh on March 17, 2011, 04:29:31 pm ---
--- Quote ---You have 100 pennies. Exactly 50 of them a heads-up, but you don't know which ones. If you're blindfolded, how would you divide the pennies up into two groups with an equal number of heads? Repeat the same exercise when exactly 10 of them are heads-up.
--- End quote ---
--- End quote ---
By feeling the pennies. I probably couldn't do it, but my blind friend Kevin probably could easily.
Where is DD's solution? It's early but I don't see it in the thread.
--- End quote ---
2. PM answers, add posts to ask questions.
Whats the point of it if we can already see solutions? ;)
And I agree with rabbit and object to nslay's thing being a puzzle, it is just a pure math problem you have to work backwards to get the solution from, given the conditions. Sidoh's original puzzles don't require any complex math, just simple reasoning and deduction to get a solution. In order to solve the math problem you would have to know some advanced math to understand the notations used to describe the problem, not to mention a knowledge of linear algebra to understand matrices and their transpose and properties of them. O yea and integration also, not to mention it just isn't even interesting to solve! Therefore I demand it to be removed thanks :)
--- End quote ---
On the contrary, it is very interesting in the sense of optimization. If you had a Hessian of that form (which I did), positive definiteness would imply strict convexity and therefore a unique global optimum.
The reasoning probably isn't as simple as you think it is. There's a twist and you probably didn't realize it.
EDIT: Oh, I misread. You were talking about Sidoh's puzzle. Nah, this really does boil down to really simple math. You're just intimidated by linear algebra and integration (which really are basic math). But as I said, there is a twist.
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