Difference between revisions of "User talk:Temperal/The Problem Solver's Resource Competition"

(Problem 2: ?)
(Problem 2: fixed)
 
(One intermediate revision by the same user not shown)
Line 4: Line 4:
 
:Random counter-example: <math>p = l = m = 0.1</math>, <math>k = 0.299833</math>, <math>n = 0.172916</math>. Then the fraction becomes <math>111.4</math>.   
 
:Random counter-example: <math>p = l = m = 0.1</math>, <math>k = 0.299833</math>, <math>n = 0.172916</math>. Then the fraction becomes <math>111.4</math>.   
 
:And problem 3, the same equation is given for both circles. I'm assuming you meant <math>9</math> for one of the radii? <font style="font-family:Georgia,sans-serif">[[User:Azjps|Azjps]] ([[User talk:Azjps|<font color="green">talk</font>]])</font> 18:33, 12 October 2007 (EDT)
 
:And problem 3, the same equation is given for both circles. I'm assuming you meant <math>9</math> for one of the radii? <font style="font-family:Georgia,sans-serif">[[User:Azjps|Azjps]] ([[User talk:Azjps|<font color="green">talk</font>]])</font> 18:33, 12 October 2007 (EDT)
 +
 +
::You're right. I'll fix that after dinner. [[User:Temperal|Temperal]]<span style="color:red"><small><sup>[[User Talk:Temperal|xy]]</sup></small></span> 19:01, 12 October 2007 (EDT)
 +
:::Fixed. [[User:Temperal|Temperal]]<span style="color:red"><small><sup>[[User Talk:Temperal|xy]]</sup></small></span> 14:02, 13 October 2007 (EDT)

Latest revision as of 13:02, 13 October 2007

Problem 2

I don't think the question is worded correctly. I haven't actually thought much about it yet, but a variable $o$ is introduced and not used, and the $l$ simply disappears from the ending condition (but the condition given is symmetric). And there are simple counter-proofs, let $p = 0.1$ or some other value close to 0, and then it quickly becomes apparent that the entire denominator will approach $0$, and the inequality will be false. Azjps (talk) 21:49, 10 October 2007 (EDT)

Random counter-example: $p = l = m = 0.1$, $k = 0.299833$, $n = 0.172916$. Then the fraction becomes $111.4$.
And problem 3, the same equation is given for both circles. I'm assuming you meant $9$ for one of the radii? Azjps (talk) 18:33, 12 October 2007 (EDT)
You're right. I'll fix that after dinner. Temperalxy 19:01, 12 October 2007 (EDT)
Fixed. Temperalxy 14:02, 13 October 2007 (EDT)