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Apr 25, 2019 at 0:59 comment added Marcel Besixdouze The adjective form you're looking for is "genteel".
Dec 2, 2018 at 16:19 comment added LSpice @BenCrowell, would the failure of surjectivity really be an inconsistency? (Well, yes, because surjectivity doesn't fail in this case; but you know what I mean.) It seems you've replaced the question: is $V \to V^{**}$ surjective? with the equivalent question: do the images of the elements of a basis of $V$ span $V^{**}$?, and I'm not sure what would go wrong notationally if the answer were that, no, there were some extra, say, $y_b$'s floating around.
Jan 18, 2017 at 15:47 history edited Francesco Polizzi CC BY-SA 3.0
added 15 characters in body
S Oct 8, 2016 at 17:30 history edited Dag Oskar Madsen CC BY-SA 3.0
corrected spelling (unambiguously), typo (dimensional) etc.
S Oct 8, 2016 at 17:30 history suggested Ivan Izmestiev CC BY-SA 3.0
corrected spelling (unambiguously), typo (dimensional) etc.
Oct 8, 2016 at 17:21 review Suggested edits
S Oct 8, 2016 at 17:30
Apr 1, 2015 at 7:17 history protected CommunityBot
Sep 18, 2012 at 4:12 comment added user21349 This doesn't constitute a proof, but: Suppose that the result of a certain proof looks obvious in notation A, but deep and mysterious in notation B. This is usually a reason to prefer notation A. In Penrose's abstract index notation, which doesn't require a choice of basis, mapping one-dimensional space V to V* takes element $x_a$ to element $x^a$. If you then continue with V* to V**, you take $x^a$ to (drumroll, plese) $x_a$. If the mapping from V to V** wasn't surjective (and, in fact, an isomorphism) then abstract index notation would be inconsistent.
Sep 17, 2012 at 18:36 answer added Peter May timeline score: 19
Jan 22, 2010 at 7:15 comment added Jonas Meyer @Richard Dore, Your most recent edit included restoring grammar errors. I think the previous version was better.
Nov 23, 2009 at 15:14 history rollback Richard Dore
Rollback to Revision 2
Nov 22, 2009 at 12:33 answer added Gerald Edgar timeline score: 3
Nov 22, 2009 at 2:56 history edited S. Carnahan CC BY-SA 2.5
unloaded language
Nov 11, 2009 at 2:19 comment added Anton Geraschenko @Steve Flammia: sorry, you can't use html tags in comments, but URLs are automatically converted to links. For example, typing http:/``/mathoverflow.net/questions/4648/when-to-pick-a-basis results in mathoverflow.net/questions/4648/when-to-pick-a-basis
Nov 10, 2009 at 21:20 comment added Steve Flammia See the related discussion <a href="mathoverflow.net/questions/4648/…>.
Nov 10, 2009 at 20:55 history edited Richard Dore CC BY-SA 2.5
deleted 2 characters in body
Oct 23, 2009 at 4:24 vote accept Richard Dore
Oct 23, 2009 at 4:07 answer added Konrad Voelkel timeline score: 0
Oct 16, 2009 at 6:40 answer added Todd Trimble timeline score: 39
Oct 14, 2009 at 14:33 comment added Anton Geraschenko In my mind, "gentleman" refers to politeness rather than social class, but I can see where the problem comes from. Perhaps a good alternative is "my mommy said it's not polite to choose a basis." My mom didn't tell me that, so as a kid, I chose bases left and right; now I regret it.
Oct 14, 2009 at 1:55 comment added S. Carnahan My personal preference is to avoid any reference to gender or class (or indeed membership in any group associated to historical persecution - e.g., we don't say that bases are for Jewish or homosexual people). This may make your question seem less colorful, but I think it is worthwhile to make mathematics more welcoming to people of all kinds. If you're still looking for an obnoxious elitist tone, I suggest replacing "gentleman" with "true mathematician" and "gentlemanly" with "mathematically cultured".
Oct 14, 2009 at 0:52 answer added Qiaochu Yuan timeline score: 23
Oct 13, 2009 at 18:50 comment added Richard Dore That's fair. I should have gone for something more gender neutral. Although "gentlemanly/ladylike" is a bit awkward, and something like "classy" doesn't have the same anachronistic feel. Any suggestions?
Oct 13, 2009 at 4:19 answer added Ian Shipman timeline score: 1
Oct 13, 2009 at 3:31 comment added S. Carnahan I'm having trouble coming up with a sufficiently patriarchal argument. Does "these parts" refer to the pre-suffrage era?
Oct 13, 2009 at 2:52 history asked Richard Dore CC BY-SA 2.5