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

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== Problem 2 ==
 
== Problem 2 ==
 
I don't think the question is worded correctly. I haven't actually thought much about it yet, but a variable <math>o</math> is introduced and not used, and the <math>l</math> simply disappears from the ending condition (but the condition given is symmetric). And there are simple counter-proofs, let <math>p = 0.1</math> or some other value close to 0, and then it quickly becomes apparent that the entire denominator will approach <math>0</math>, and the inequality will be false. <font style="font-family:Georgia,sans-serif">[[User:Azjps|Azjps]] ([[User talk:Azjps|<font color="green">talk</font>]])</font> 21:49, 10 October 2007 (EDT)
 
I don't think the question is worded correctly. I haven't actually thought much about it yet, but a variable <math>o</math> is introduced and not used, and the <math>l</math> simply disappears from the ending condition (but the condition given is symmetric). And there are simple counter-proofs, let <math>p = 0.1</math> or some other value close to 0, and then it quickly becomes apparent that the entire denominator will approach <math>0</math>, and the inequality will be false. <font style="font-family:Georgia,sans-serif">[[User:Azjps|Azjps]] ([[User talk:Azjps|<font color="green">talk</font>]])</font> 21:49, 10 October 2007 (EDT)
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: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>. 
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: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)
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::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)
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:::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 14:02, 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)
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