Talk:Generalizations of the derivative

message: *Dini derivative
*Matrix calculus
*Pincherle derivative
*Parametric derivative
*Semi-differentiability
OK, these have been here for a while now, but nobody has worked them in properly. I don't think we want a section called "still need descriptions", so I'll put them here and someone can hopefully find a home for them. Dmharvey 16:32, 3 March 2006 (UTC)
thread_title:  "still need descriptions" 

message: Would this be an accurate account of these derivatives?  A map from R2 to V has a Gâteaux derivative if the derivative along each direction in R2 exists, a Fréchet derivative if this derivative depends linearly on the direction, and a complex derivative if it is independent of the direction. -lethe talk [ +] 05:30, 24 March 2006 (UTC)
thread_title:  multivariable derivatives 

message: I have added a section on fractional derivatives directly below higher order derivatives with a link to fractional calculus. I thought it was important to mention fractional derivatives on this page and direct those interested to the more complete explanation on the fractional calculus page.--Nick Y. 21:04, 11 April 2006 (UTC)
replies: text: The links were already there, two lines above where you added them.  I reverted. -lethe talk [ +] 21:06, 11 April 2006 (UTC)

text: Fine by me.  Rename, split, if you prefer.  We'll see how it turns out.  Obviously having the same thing twice is not good though. -lethe talk [ +] 21:32, 11 April 2006 (UTC)
thread_title:  Fractional Derivatives 

message: I just added this for its uses in p-adic analysis. I suspect that the term is also used in classical analysis, but I don't know anything about that, so if anyone has anything to add, please go right ahead. Dmharvey 12:51, 9 June 2006 (UTC)
thread_title:  [[strictly differentiable]] 

message: Anybody can tell where this belongs in this article? :) By the way, nice job, this article has grown tremendously since I remember it. Oleg Alexandrov (talk) 02:35, 12 April 2007 (UTC)
thread_title:  [[Fox derivative]] 

message: This generalization agrees sometimes with the regular derivative:
If \Delta  is the forward difference operator,
and \Delta ^{n} is the iterated form of it,
then the generalization of the derivative is:
\frac{\Delta ^{1}}{1}-\frac{\Delta ^{2}}{2}+\frac{\Delta ^{3}}{3}-\frac{\Delta ^{4}}{4}+\ldots 
--77.125.14.68 (talk) 08:51, 7 July 2009 (UTC)
thread_title:  Another type of discrete derivative 

message: It would be nice to have here also: Dini derivative, weak derivative (there are distributions though) described; derived subgroup, derived set are a little bit different notions but do they belong in here? konradek (talk) 18:09, 26 November 2009 (UTC)
thread_title:  Still needed 

message: The definitions of Fréchet derivative in this article and at the main article Fréchet derivative disagree in notation. A_x(h) is used in Fréchet derivative and A(x)h is this article. A_x(h) is defined to be a bounded linear operator, whereas A(x) is simply stated to be a linear operator. I am no analyst, but we should probably get these consistent across articles. Is there a preferred definition in the literature? --Mark viking (talk) 20:36, 11 April 2013 (UTC)
thread_title:  Canonical form for Fréchet derivative? 

message: Hi guys, nice article. Interesting I have thought about what is written on this article for a long. But what I found striking was too much abstraction . is there no way of forking a more pedogigical article without too much abstraction. For eg frechnet derivative is just jakobian matrix in my book, and debaux just looks like a directional derivative. Infact in my private study I envisioned a derivative in each major field of mathematics, functional calculus has variations, DG has connection, multivariate has Jacobians, exterior calculus has exterior derivatives, tensors has covariant derivative, even elementary mathematics has ordinary derivative(Infact ironically all derivatives reduce to this), more abstract category theory has derived functors(if I'm not wrong). There is paper by some guy who showed derivatives are Turing complete. And my take is the derivate is essential component in any mathematical language that purports to create models(which I am interested in). 41.74.49.21 (talk) 08:58, 16 December 2021 (UTC)
thread_title:  Padegogical alternative