Wikipedia:WikiProject Mathematics/PlanetMath Exchange/26-XX Real functions

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This page provides a list of all articles available at PlanetMath in the following topic:

26-XX Real functions.

This list will be periodically updated. Each entry in the list has three fields:

  1. PM : The first field is the link to the PlanetMath article, along with the article's object ID.
  2. WP : The second field is either a "guessed" link to a correspondingly named Wikipedia article, produced by the script which generated the list, or one or more manually entered links to the corresponding Wikipedia articles on the subject.
  3. Status : The third field is the status field, which explains the current status of the entry. The recommended status entries are:
Status means PM article
N not needed
A adequately covered
C copied
M merged
NC needs copying
NM needs merging
  • Please update the WP and Status fields as appropriate.
  • if the WP field is correct please remove the qualifier "guess".
  • If the corresponding Wikipedia article exists, but the link to it is wrong, please fix the link.
  • If you copy or merge an article from PlanetMath, please update the WP and Status fields for that entry.
  • If you have any comments, for example, thoughts on how the PlanetMath article compares to the corresponding Wikipedia article(s), please place such comments on a new indented line following the entry. Comments of this kind are very valuable.

Don't forget to include the relevant template if you copy over text or feel like an external link is warranted

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26-00 General reference works (handbooks, dictionaries, bibliographies, etc.)[edit]

Nice article, but some time in the future maybe more can be said about its history and applications. Oleg Alexandrov | talk 01:21, 3 Feb 2005 (UTC)
PM has a lot of stuff, I doubt we need that. Oleg Alexandrov (talk) 04:48, 15 February 2006 (UTC)[reply]
AdamSmithee 23:04, 18 February 2006 (UTC)[reply]
But with lots of care. The WP article has lots of stuff which the PM one does not, while PM has just very little stuff which WP does not. Oleg Alexandrov | talk 05:42, 2 Feb 2005 (UTC)
Oleg Alexandrov (talk) 10:46, 28 October 2005 (UTC)[reply]
AdamSmithee 23:04, 18 February 2006 (UTC)[reply]
Oleg Alexandrov (talk) 10:46, 28 October 2005 (UTC)[reply]
AdamSmithee 13:15, 26 April 2006 (UTC)[reply]
Made redirect to Simple function - AdamSmithee 13:15, 26 April 2006 (UTC)[reply]

26A03 Foundations: limits and generalizations, elementary topology of the line[edit]

AdamSmithee 11:21, 26 April 2006 (UTC)[reply]
AdamSmithee 11:21, 26 April 2006 (UTC)[reply]
Oleg Alexandrov (talk) 03:10, 4 February 2007 (UTC)[reply]
AdamSmithee 11:21, 26 April 2006 (UTC)[reply]
Oleg Alexandrov (talk) 03:41, 4 February 2007 (UTC)[reply]
Oleg Alexandrov (talk) 03:41, 4 February 2007 (UTC)[reply]
Oleg Alexandrov (talk) 03:41, 4 February 2007 (UTC)[reply]

26A06 One-variable calculus[edit]

The plain latin title needs be the main article, the other one redirectOleg Alexandrov | talk 05:47, 2 Feb 2005 (UTC)
Oleg Alexandrov (talk) 18:55, 20 November 2005 (UTC)[reply]
Oleg Alexandrov (talk) 18:55, 20 November 2005 (UTC)[reply]
AdamSmithee 00:22, 19 February 2006 (UTC)[reply]
AdamSmithee 00:22, 19 February 2006 (UTC)[reply]
Jeekc 11:13, 10 November 2005 (UTC)[reply]
Jeekc 11:13, 10 November 2005 (UTC)[reply]
AdamSmithee 20:42, 19 February 2006 (UTC)[reply]
Jeekc 11:51, 10 November 2005 (UTC)[reply]
AdamSmithee 14:30, 30 December 2005 (UTC)[reply]
AdamSmithee 20:45, 20 February 2006 (UTC)[reply]
AdamSmithee 00:22, 19 February 2006 (UTC)[reply]
AdamSmithee 20:45, 20 February 2006 (UTC)[reply]
Jeekc 11:51, 10 November 2005 (UTC)[reply]
AdamSmithee 14:30, 30 December 2005 (UTC)[reply]
AdamSmithee 20:45, 20 February 2006 (UTC)[reply]
AdamSmithee 00:22, 19 February 2006 (UTC)[reply]
AdamSmithee 20:42, 19 February 2006 (UTC)[reply]
AdamSmithee 20:45, 20 February 2006 (UTC)[reply]
AdamSmithee 20:45, 20 February 2006 (UTC)[reply]
This proof, going first through the Bolzano theorem special case by interval halving, is more intuitive IMO AdamSmithee 13:27, 26 April 2006 (UTC)[reply]
AdamSmithee 20:45, 20 February 2006 (UTC)[reply]
AdamSmithee 11:36, 26 April 2006 (UTC)[reply]
CryptoDerk 07:02, Feb 3, 2005 (UTC)
AdamSmithee 11:36, 26 April 2006 (UTC)[reply]
On PM they also talk about signum function for complex argument, but that is reduntant I would think. Oleg Alexandrov (talk) 18:55, 20 November 2005 (UTC)[reply]
Oleg Alexandrov (talk) 18:55, 20 November 2005 (UTC)[reply]
Oleg Alexandrov (talk) 03:46, 4 February 2007 (UTC)[reply]
Could lead to reorganisation and better wording. Otherwise, the info is mostly in there AdamSmithee 11:36, 26 April 2006 (UTC)[reply]
AdamSmithee 11:36, 26 April 2006 (UTC)[reply]

26A09 Elementary functions[edit]

26A12 Rate of growth of functions, orders of infinity, slowly varying functions[edit]

Oleg Alexandrov (talk) 03:53, 4 February 2007 (UTC)[reply]

26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.)[edit]

AdamSmithee 14:30, 30 December 2005 (UTC)[reply]
I created this article, with examples and pictures. Oleg Alexandrov 01:22, 13 September 2005 (UTC)[reply]
Oleg Alexandrov (talk) 04:15, 4 February 2007 (UTC)[reply]
AdamSmithee 14:30, 30 December 2005 (UTC)[reply]
Oleg Alexandrov (talk) 04:15, 4 February 2007 (UTC)[reply]
  • PM: C^n, id=6701 -- WP guess: C^n -- Status:

26A16 Lipschitz (Hölder) classes[edit]

Oleg Alexandrov 22:27, 13 September 2005 (UTC)[reply]
Oleg Alexandrov 22:27, 13 September 2005 (UTC)[reply]

26A18 Iteration[edit]

linas 00:08, 8 June 2006 (UTC)[reply]
linas 23:59, 7 June 2006 (UTC)[reply]

26A24 Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems[edit]

AdamSmithee 11:50, 26 April 2006 (UTC)[reply]

26A27 Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives[edit]

26A30 Singular functions, Cantor functions, functions with other special properties[edit]

linas 00:00, 8 June 2006 (UTC)[reply]
linas 00:01, 8 June 2006 (UTC)[reply]
linas 00:03, 8 June 2006 (UTC)[reply]

26A33 Fractional derivatives and integrals[edit]

26A36 Antidifferentiation[edit]

26A42 Integrals of Riemann, Stieltjes and Lebesgue type[edit]

AdamSmithee 13:39, 26 April 2006 (UTC)[reply]
AdamSmithee 13:39, 26 April 2006 (UTC)[reply]
Oleg Alexandrov (talk) 03:40, 18 February 2007 (UTC)[reply]

26A45 Functions of bounded variation, generalizations[edit]

26A46 Absolutely continuous functions[edit]

  • PM: absolutely continuous on [0,1 versus absolutely continuous on [\varepsilon, 1] for every \varepsilon >0], id=8300new! -- WP guess: [[absolutely continuous on [0,1] versus absolutely continuous on [\varepsilon, 1] for every \varepsilon >0]] -- Status:

26A48 Monotonic functions, generalizations[edit]

26A51 Convexity, generalizations[edit]

Mikkalai 05:02, 14 Feb 2005 (UTC)
Merged into convex function. Mikkalai 05:02, 14 Feb 2005 (UTC)

26A99 Miscellaneous[edit]

Oleg Alexandrov 20:38, 12 Feb 2005 (UTC)
They have quite some similarities. Oleg Alexandrov 19:14, 15 Feb 2005 (UTC)

26Axx Functions of one variable[edit]

26B05 Continuity and differentiation questions[edit]

26B10 Implicit function theorems, Jacobians, transformations with several variables[edit]

26B12 Calculus of vector functions[edit]

Mikkalai 05:11, 4 Feb 2005 (UTC)

26B15 Integration: length, area, volume[edit]

26B20 Integral formulas (Stokes, Gauss, Green, etc.)[edit]

26B25 Convexity, generalizations[edit]

26B30 Absolutely continuous functions, functions of bounded variation[edit]

by User:Daniele.tampieri. 03:53, 18 February 2007 (UTC)[reply]

26B35 Special properties of functions of several variables, H�lder conditions, etc.[edit]

26B40 Representation and superposition of functions[edit]

26B99 Miscellaneous[edit]

26Bxx Functions of several variables[edit]

26C05 Polynomials: analytic properties, etc.[edit]

26C10 Polynomials: location of zeros[edit]

26C15 Rational functions[edit]

26C99 Miscellaneous[edit]

linas 17:13, 26 Mar 2005 (UTC)

26Cxx Polynomials, rational functions[edit]

26D05 Inequalities for trigonometric functions and polynomials[edit]

26D10 Inequalities involving derivatives and differential and integral operators[edit]

(not by me). Oleg Alexandrov 22:43, 13 September 2005 (UTC)[reply]
It's a proof. Oleg Alexandrov 22:43, 13 September 2005 (UTC)[reply]

26D15 Inequalities for sums, series and integrals[edit]

Oleg Alexandrov (talk) 04:08, 5 February 2007 (UTC)[reply]
Oleg Alexandrov (talk) 04:03, 18 February 2007 (UTC)[reply]
Oleg Alexandrov (talk) 04:03, 18 February 2007 (UTC)[reply]

26D99 Miscellaneous[edit]

26Dxx Inequalities[edit]

26E35 Nonstandard analysis[edit]

26E60 Means[edit]

Oleg Alexandrov (talk) 04:09, 2 April 2007 (UTC)[reply]

26E99 Miscellaneous[edit]

26Exx Miscellaneous topics[edit]

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