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Incnis Mrsi (talk | contribs) →Real coordinate space: revisited |
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:Done link and category, I'll continue writing later today. [[user:Maschen|'''M∧''Ŝ''''']][[special:contributions/Maschen|''c''<sup>2</sup>''ħ''ε]][[user talk:maschen|''И<sub>τlk</sub>'']] 14:12, 26 June 2013 (UTC)
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I see, the passage about multivariable continuity paradoxes/caveats was once added by later destroyed, and [[{{SUBJECTPAGENAME}}#Calculus]] now starts from differentiability. May be it is ''pedagogically'' correct, but the article should not downplay the fact that even the continuity of a function is not a (very) simple property. Paradoxes with derivatives (such as of {{math|{{sfrac|(''x'' + ''i'' ''y'')<sup>3</sup>|''x''<sup>2</sup> + ''y''<sup>2</sup>}}}} at {{math|(0, 0)}}) are not paradoxes with differentiation itself. They arise from problems with the definition of continuity, where a “naïve” approach fails. [[User:Incnis Mrsi|Incnis Mrsi]] ([[User talk:Incnis Mrsi|talk]]) 10:09, 20 November 2013 (UTC)
== To do ==
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