http://debianws.lexgopc.com/wiki143/index.php?action=history&feed=atom&title=Talk%3ABounded_linear_function 2026-05-09T19:42:43Z Revision history for this page on the wiki MediaWiki 1.43.1 http://debianws.lexgopc.com/wiki143/index.php?title=Talk:Bounded_linear_function&diff=766737&oldid=prev 2013-08-29T02:38:55Z

<p>bug!</p> <p><b>New page</b></p><div>Query the point being made in the final para. Is it about Q-linear functions, eg take a [[Hamel basis]] for R over Q, define a function by Q-linearity on the b in it, such as b/|b|, tweak to make bounded?<br /> <br /> [[User:Charles Matthews|Charles Matthews]] 09:13, 19 Feb 2004 (UTC)<br /> <br /> : I don&#039;t know anything specifically about linear functions on &lt;b&gt;R&lt;/b&gt; over &lt;b&gt;Q&lt;/b&gt;, but I know there exist linear functions on &lt;b&gt;R&lt;/b&gt; over &lt;b&gt;R&lt;/b&gt; that are not f(x) = ax. My topology book mentions one discovered by F. B. Jones. Its graph is connected but not compact. [[User:CyborgTosser|CyborgTosser]]<br /> <br /> I think you need to clarify that. All the conventional-sense linear functions of that kind are multiplication by constants. The &#039;&#039;ax+b&#039;&#039; functions are presumably not what you mean.<br /> <br /> [[User:Charles Matthews|Charles Matthews]] 22:34, 21 Feb 2004 (UTC)<br /> <br /> : My mistake. The function I mention only satisfies superposition, which would make it linear over &lt;b&gt;Q&lt;/b&gt;, not &lt;b&gt;R&lt;/b&gt;. [[User:CyborgTosser|CyborgTosser]]<br /> <br /> Page now amended. [[User:Charles Matthews|Charles Matthews]] 09:03, 11 Mar 2004 (UTC) (Funny, I could have sworn I did, yesterday, but the page history says not ... must be an edit that didn&#039;t make it to the far end ... CT has done the necessary now. [[User:Charles Matthews|Charles Matthews]])</div>

imported>MZMcBride