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Incubator escapee wiki:WikiProject Mathematics/PlanetMath Exchange/26-XX Real functions

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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)
AdamSmithee 23:04, 18 February 2006 (UTC)
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)
AdamSmithee 23:04, 18 February 2006 (UTC)
Oleg Alexandrov (talk) 10:46, 28 October 2005 (UTC)
AdamSmithee 13:15, 26 April 2006 (UTC)
Made redirect to Simple function - AdamSmithee 13:15, 26 April 2006 (UTC)

26A03 Foundations: limits and generalizations, elementary topology of the lineEdit

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

26A06 One-variable calculusEdit

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)
Oleg Alexandrov (talk) 18:55, 20 November 2005 (UTC)
AdamSmithee 00:22, 19 February 2006 (UTC)
AdamSmithee 00:22, 19 February 2006 (UTC)
Jeekc 11:13, 10 November 2005 (UTC)
Jeekc 11:13, 10 November 2005 (UTC)
AdamSmithee 20:42, 19 February 2006 (UTC)
Jeekc 11:51, 10 November 2005 (UTC)
AdamSmithee 14:30, 30 December 2005 (UTC)
AdamSmithee 20:45, 20 February 2006 (UTC)
AdamSmithee 00:22, 19 February 2006 (UTC)
AdamSmithee 20:45, 20 February 2006 (UTC)
Jeekc 11:51, 10 November 2005 (UTC)
AdamSmithee 14:30, 30 December 2005 (UTC)
AdamSmithee 20:45, 20 February 2006 (UTC)
AdamSmithee 00:22, 19 February 2006 (UTC)
AdamSmithee 20:42, 19 February 2006 (UTC)
AdamSmithee 20:45, 20 February 2006 (UTC)
AdamSmithee 20:45, 20 February 2006 (UTC)
This proof, going first through the Bolzano theorem special case by interval halving, is more intuitive IMO AdamSmithee 13:27, 26 April 2006 (UTC)
AdamSmithee 20:45, 20 February 2006 (UTC)
AdamSmithee 11:36, 26 April 2006 (UTC)
CryptoDerk 07:02, Feb 3, 2005 (UTC)
AdamSmithee 11:36, 26 April 2006 (UTC)
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)
Oleg Alexandrov (talk) 18:55, 20 November 2005 (UTC)
Oleg Alexandrov (talk) 03:46, 4 February 2007 (UTC)
Could lead to reorganisation and better wording. Otherwise, the info is mostly in there AdamSmithee 11:36, 26 April 2006 (UTC)
AdamSmithee 11:36, 26 April 2006 (UTC)

26A09 Elementary functionsEdit

26A12 Rate of growth of functions, orders of infinity, slowly varying functionsEdit

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

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

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

26A16 Lipschitz (Hölder) classesEdit

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

26A18 IterationEdit

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

26A24 Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theoremsEdit

AdamSmithee 11:50, 26 April 2006 (UTC)

26A27 Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivativesEdit

26A30 Singular functions, Cantor functions, functions with other special propertiesEdit

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

26A33 Fractional derivatives and integralsEdit

26A36 AntidifferentiationEdit

26A42 Integrals of Riemann, Stieltjes and Lebesgue typeEdit

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

26A45 Functions of bounded variation, generalizationsEdit

26A46 Absolutely continuous functionsEdit

  • 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, generalizationsEdit

26A51 Convexity, generalizationsEdit

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

26A99 MiscellaneousEdit

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 variableEdit

26B05 Continuity and differentiation questionsEdit

26B10 Implicit function theorems, Jacobians, transformations with several variablesEdit

26B12 Calculus of vector functionsEdit

Mikkalai 05:11, 4 Feb 2005 (UTC)

26B15 Integration: length, area, volumeEdit

26B20 Integral formulas (Stokes, Gauss, Green, etc.)Edit

26B25 Convexity, generalizationsEdit

26B30 Absolutely continuous functions, functions of bounded variationEdit

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

26B35 Special properties of functions of several variables, H�lder conditions, etc.Edit

26B40 Representation and superposition of functionsEdit

26B99 MiscellaneousEdit

26Bxx Functions of several variablesEdit

26C05 Polynomials: analytic properties, etc.Edit

26C10 Polynomials: location of zerosEdit

26C15 Rational functionsEdit

26C99 MiscellaneousEdit

linas 17:13, 26 Mar 2005 (UTC)

26Cxx Polynomials, rational functionsEdit

26D05 Inequalities for trigonometric functions and polynomialsEdit

26D10 Inequalities involving derivatives and differential and integral operatorsEdit

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

26D15 Inequalities for sums, series and integralsEdit

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

26D99 MiscellaneousEdit

26Dxx InequalitiesEdit

26E35 Nonstandard analysisEdit

26E60 MeansEdit

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

26E99 MiscellaneousEdit

26Exx Miscellaneous topicsEdit

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