User talk:Sullivan.t.j/Archive4

Non-free rationale for File:Trigati.jpg
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Disambiguation link notification for February 12
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List of inequalities
I've added Ladyzhenskaya's inequality and Gagliardo–Nirenberg interpolation inequality to the list of inequalities. If you know of others that ought to be there and are not, could you add those too? Michael Hardy (talk) 17:37, 13 February 2013 (UTC)

Error in Application of Gårding's inequality
In Gårding%27s_inequality you've wrote:


 * $$B[u, u] \geq C \| u \|_{H^{1} (\Omega)}^{2} - G \| u \|_{L^{2} (\Omega)}^{2} \mbox{ for all } u \in H_{0}^{1} (\Omega).$$

Applying the Poincaré inequality allows the two terms on the right-hand side to be combined, yielding a new constant K &gt; 0 with


 * $$B[u, u] \geq K \| u \|_{H^{1} (\Omega)}^{2} \mbox{ for all } u \in H_{0}^{1} (\Omega),$$

However, this is not true. Poincaré inequality implies


 * $$\| u \|_{L^{2} (\Omega)}^{2} \le C_P \, \| u \|_{H^{1} (\Omega)}^{2} \mbox{ for all } u \in H_{0}^{1} (\Omega).$$

Hence, Gårding's inequality implies


 * $$B[u, u] \geq C \| u \|_{H^{1} (\Omega)}^{2} - G \| u \|_{L^{2} (\Omega)}^{2} \ge (C - G \, C_P ) \, \| u \|_{H^{1} (\Omega)}^{2} \mbox{ for all } u \in H_{0}^{1} (\Omega).$$

which doesn't help anything if the last constant in brackets is negative.--134.109.40.121 (talk) 09:33, 1 March 2013 (UTC)

Complete topological space
Can you provide some notable references using the term "complete topological space"? If not, then I would rather remove any uses of the term "complete topological space" from Wikipedia as I think it is misleading and "completely metrizable" should be used instead: see Talk:Completely metrizable space. I am writing to you since you were the original author of Complete topological space. --Jaan Vajakas (talk) 11:55, 5 March 2013 (UTC)


 * OK, since I haven't received any objections, I now removed the synonym complete topological space from Completely metrizable space and made Complete topological space into a disambiguation page instead of a redirect to Completely metrizable space. Jaan Vajakas (talk) 16:20, 9 April 2013 (UTC)

Banach Bundle Diagrams
Hi, would you mind popping over to the Maths reference desk and answering a question on the diagrams you added to the Banach bundle article? Thanks, Rojomoke (talk) 10:53, 6 October 2013 (UTC)

Disambiguation link notification for April 4
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Notification of automated file description generation
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September 2015
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ArbCom elections are now open!
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Nomination of Commutative non-associative magmas for deletion
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Orphaned article
The new article Borell–TIS inequality, which you created, had no links to it from other articles until I added it to the list of inequalities, and so far that's the only one. If you know of other articles that should link to it, could you add the links? Michael Hardy (talk) 20:57, 26 November 2016 (UTC)

Nomination of Margaret Edmondson for deletion
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File:EAS Agamemnon.jpg listed for discussion
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Nomination of Essentially unique for deletion
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Orphaned non-free image File:EAS Hyperion.jpg
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