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	<title>Math Puzzle Wiki - User contributions [en]</title>
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	<updated>2026-04-05T02:30:14Z</updated>
	<subtitle>User contributions</subtitle>
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	<entry>
		<id>http://mathpuzzlewiki.com/index.php?title=User_talk:Oscarlevin&amp;diff=515</id>
		<title>User talk:Oscarlevin</title>
		<link rel="alternate" type="text/html" href="http://mathpuzzlewiki.com/index.php?title=User_talk:Oscarlevin&amp;diff=515"/>
		<updated>2010-10-12T02:09:14Z</updated>

		<summary type="html">&lt;p&gt;Test1: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Solutions over multiple lines ==&lt;br /&gt;
&lt;br /&gt;
I visited the site following the link in your comments on Richard Wiseman&#039;s most recent Friday Puzzle solution, and thought I&#039;d see if I could contribute.&lt;br /&gt;
&lt;br /&gt;
However, I can&#039;t contribute a solution because the wiki won&#039;t accept a solution that takes more than one line. For example, this doesn&#039;t work:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;{{Solution | &lt;br /&gt;
solution&lt;br /&gt;
over&lt;br /&gt;
multiple&lt;br /&gt;
lines&lt;br /&gt;
}}&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Pretty much all solutions will require multiple lines, so this is a real problem. I assume a &amp;quot;solution&amp;quot; means an answer with working, whereas an &amp;quot;answer&amp;quot; is just the answer by itself.&lt;br /&gt;
&lt;br /&gt;
Below is my solution to the &amp;quot;7_orbs&amp;quot; puzzle, which I tried to contribute:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;small&amp;gt;&lt;br /&gt;
:Let A = set of orbs for which there are 3 or more others the same colour.&lt;br /&gt;
:Let B = set of orbs for which there are 1 or 2 others the same colour.&lt;br /&gt;
:Let X = set of orbs for which there are no others the same colour.&lt;br /&gt;
&lt;br /&gt;
:Goal is to prove that some orb is in A.&lt;br /&gt;
&lt;br /&gt;
:Possible combinations:&lt;br /&gt;
:(using the shorthand that A denotes an orb that&#039;s in A, etc)&lt;br /&gt;
&lt;br /&gt;
:A A A A A A A&lt;br /&gt;
:A A A A A A X&lt;br /&gt;
:A A A A A B B&lt;br /&gt;
:A A A A A X X&lt;br /&gt;
:A A A A B B B&lt;br /&gt;
:A A A A B B X&lt;br /&gt;
:A A A A X X X&lt;br /&gt;
&lt;br /&gt;
:Label the orbs 1, 2, 3, 4, 5, 6, 7 and test 1&amp;amp;2, 3&amp;amp;4, 5&amp;amp;6.&lt;br /&gt;
&lt;br /&gt;
:Comparing the results of testing those three pairs with the possible combinations, you can easily show that:&lt;br /&gt;
&lt;br /&gt;
:If two tested pairs glow the same colour, all members of those pairs are in A&lt;br /&gt;
:If only one of the three tested pairs glows, members of that pair are in A&lt;br /&gt;
:If two tested pairs glow different colours and the other doesn&#039;t glow, orb 7 is in A&lt;br /&gt;
:If no tested pairs glow, orb 7 is in A.&lt;br /&gt;
&lt;br /&gt;
:In all cases, three tests suffice to prove that some orb is in A.&lt;br /&gt;
&lt;br /&gt;
:The only other thing required is to prove that two tests are not necessarily sufficient, which is trivial.&lt;br /&gt;
&amp;lt;/small&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Is that the sort of thing you&#039;re looking for? [[User:Zerrakhi|Zerrakhi]] 12:16, 11 October 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
: Yes that is the sort of thing I&#039;m looking for.  I&#039;ll see if I can fix the multiple lines problem.  [[User:Oscarlevin|Oscarlevin]] 15:06, 11 October 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
: So I can&#039;t seem to replicate your problem.  Is it just that the lines are not breaking?  Like this:&lt;br /&gt;
{{Solution | &lt;br /&gt;
solution&lt;br /&gt;
over&lt;br /&gt;
multiple&lt;br /&gt;
lines&lt;br /&gt;
}}&lt;br /&gt;
: Because that can be fixed will a line break between them, as in:&lt;br /&gt;
&lt;br /&gt;
{{Solution | &lt;br /&gt;
solution&lt;br /&gt;
&lt;br /&gt;
over&lt;br /&gt;
&lt;br /&gt;
multiple&lt;br /&gt;
&lt;br /&gt;
lines&lt;br /&gt;
}}&lt;br /&gt;
: Or is there some other problem? [[User:Oscarlevin|Oscarlevin]] 15:25, 11 October 2010 (EDT)&lt;br /&gt;
::The problem wasn&#039;t with your multiple lines, it was with the = sign.  Templates allow you to have named parameters, which you assign with =.  I don&#039;t know if there is a workaround for this. [[User:Oscarlevin|Oscarlevin]] 15:41, 11 October 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::: Ah. Never thought of that. I just tested in preview mode, and found that nowiki tags around the = sign seemed to work. I&#039;ve written something up on the [[Help:Editing | Editing Help]] page. [[User:Zerrakhi|Zerrakhi]] 19:27, 11 October 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== No link in email ==&lt;br /&gt;
&lt;br /&gt;
The email received upon registration, the one containing the words &amp;quot;open this link in your browser&amp;quot;, does not actually contain any links or URLs to open! [[User:Zerrakhi|Zerrakhi]] 12:27, 11 October 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
: Did the email you get contain a bunch of &amp;lt;nowiki&amp;gt;&amp;lt;math&amp;gt;&amp;lt;/math&amp;gt;&amp;lt;/nowiki&amp;gt; tags?  I&#039;m using an extension that switches dollar signs to math mode (ala LaTeX), and it has screwed up a lot of the system messages.  I&#039;ll see if I can fix this too. [[User:Oscarlevin|Oscarlevin]] 15:06, 11 October 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:: Yes, that&#039;s right. [[User:Zerrakhi|Zerrakhi]] 19:27, 11 October 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::: This should be fixed now.  Just testing a few things out. [[User:Test1|Test1]] 22:03, 11 October 2010 (EDT)&lt;/div&gt;</summary>
		<author><name>Test1</name></author>
	</entry>
	<entry>
		<id>http://mathpuzzlewiki.com/index.php?title=User_talk:Oscarlevin&amp;diff=512</id>
		<title>User talk:Oscarlevin</title>
		<link rel="alternate" type="text/html" href="http://mathpuzzlewiki.com/index.php?title=User_talk:Oscarlevin&amp;diff=512"/>
		<updated>2010-10-12T02:03:15Z</updated>

		<summary type="html">&lt;p&gt;Test1: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Solutions over multiple lines ==&lt;br /&gt;
&lt;br /&gt;
I visited the site following the link in your comments on Richard Wiseman&#039;s most recent Friday Puzzle solution, and thought I&#039;d see if I could contribute.&lt;br /&gt;
&lt;br /&gt;
However, I can&#039;t contribute a solution because the wiki won&#039;t accept a solution that takes more than one line. For example, this doesn&#039;t work:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;{{Solution | &lt;br /&gt;
solution&lt;br /&gt;
over&lt;br /&gt;
multiple&lt;br /&gt;
lines&lt;br /&gt;
}}&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Pretty much all solutions will require multiple lines, so this is a real problem. I assume a &amp;quot;solution&amp;quot; means an answer with working, whereas an &amp;quot;answer&amp;quot; is just the answer by itself.&lt;br /&gt;
&lt;br /&gt;
Below is my solution to the &amp;quot;7_orbs&amp;quot; puzzle, which I tried to contribute:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;small&amp;gt;&lt;br /&gt;
:Let A = set of orbs for which there are 3 or more others the same colour.&lt;br /&gt;
:Let B = set of orbs for which there are 1 or 2 others the same colour.&lt;br /&gt;
:Let X = set of orbs for which there are no others the same colour.&lt;br /&gt;
&lt;br /&gt;
:Goal is to prove that some orb is in A.&lt;br /&gt;
&lt;br /&gt;
:Possible combinations:&lt;br /&gt;
:(using the shorthand that A denotes an orb that&#039;s in A, etc)&lt;br /&gt;
&lt;br /&gt;
:A A A A A A A&lt;br /&gt;
:A A A A A A X&lt;br /&gt;
:A A A A A B B&lt;br /&gt;
:A A A A A X X&lt;br /&gt;
:A A A A B B B&lt;br /&gt;
:A A A A B B X&lt;br /&gt;
:A A A A X X X&lt;br /&gt;
&lt;br /&gt;
:Label the orbs 1, 2, 3, 4, 5, 6, 7 and test 1&amp;amp;2, 3&amp;amp;4, 5&amp;amp;6.&lt;br /&gt;
&lt;br /&gt;
:Comparing the results of testing those three pairs with the possible combinations, you can easily show that:&lt;br /&gt;
&lt;br /&gt;
:If two tested pairs glow the same colour, all members of those pairs are in A&lt;br /&gt;
:If only one of the three tested pairs glows, members of that pair are in A&lt;br /&gt;
:If two tested pairs glow different colours and the other doesn&#039;t glow, orb 7 is in A&lt;br /&gt;
:If no tested pairs glow, orb 7 is in A.&lt;br /&gt;
&lt;br /&gt;
:In all cases, three tests suffice to prove that some orb is in A.&lt;br /&gt;
&lt;br /&gt;
:The only other thing required is to prove that two tests are not necessarily sufficient, which is trivial.&lt;br /&gt;
&amp;lt;/small&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Is that the sort of thing you&#039;re looking for? [[User:Zerrakhi|Zerrakhi]] 12:16, 11 October 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
: Yes that is the sort of thing I&#039;m looking for.  I&#039;ll see if I can fix the multiple lines problem.  [[User:Oscarlevin|Oscarlevin]] 15:06, 11 October 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
: So I can&#039;t seem to replicate your problem.  Is it just that the lines are not breaking?  Like this:&lt;br /&gt;
{{Solution | &lt;br /&gt;
solution&lt;br /&gt;
over&lt;br /&gt;
multiple&lt;br /&gt;
lines&lt;br /&gt;
}}&lt;br /&gt;
: Because that can be fixed will a line break between them, as in:&lt;br /&gt;
&lt;br /&gt;
{{Solution | &lt;br /&gt;
solution&lt;br /&gt;
&lt;br /&gt;
over&lt;br /&gt;
&lt;br /&gt;
multiple&lt;br /&gt;
&lt;br /&gt;
lines&lt;br /&gt;
}}&lt;br /&gt;
: Or is there some other problem? [[User:Oscarlevin|Oscarlevin]] 15:25, 11 October 2010 (EDT)&lt;br /&gt;
::The problem wasn&#039;t with your multiple lines, it was with the = sign.  Templates allow you to have named parameters, which you assign with =.  I don&#039;t know if there is a workaround for this. [[User:Oscarlevin|Oscarlevin]] 15:41, 11 October 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::: Ah. Never thought of that. I just tested in preview mode, and found that nowiki tags around the = sign seemed to work. I&#039;ve written something up on the [[Help:Editing | Editing Help]] page. [[User:Zerrakhi|Zerrakhi]] 19:27, 11 October 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== No link in email ==&lt;br /&gt;
&lt;br /&gt;
The email received upon registration, the one containing the words &amp;quot;open this link in your browser&amp;quot;, does not actually contain any links or URLs to open! [[User:Zerrakhi|Zerrakhi]] 12:27, 11 October 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
: Did the email you get contain a bunch of &amp;lt;nowiki&amp;gt;&amp;lt;math&amp;gt;&amp;lt;/math&amp;gt;&amp;lt;/nowiki&amp;gt; tags?  I&#039;m using an extension that switches dollar signs to math mode (ala LaTeX), and it has screwed up a lot of the system messages.  I&#039;ll see if I can fix this too. [[User:Oscarlevin|Oscarlevin]] 15:06, 11 October 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:: Yes, that&#039;s right. [[User:Zerrakhi|Zerrakhi]] 19:27, 11 October 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::: This should be fixed now. [[User:Test1|Test1]] 22:03, 11 October 2010 (EDT)&lt;/div&gt;</summary>
		<author><name>Test1</name></author>
	</entry>
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