To install click the Add extension button. That's it.
The source code for the WIKI 2 extension is being checked by specialists of the Mozilla Foundation, Google, and Apple. You could also do it yourself at any point in time.
How to transfigure the Wikipedia
Would you like Wikipedia to always look as professional and up-to-date? We have created a browser extension. It will enhance any encyclopedic page you visit with the magic of the WIKI 2 technology.
Try it — you can delete it anytime.
Install in 5 seconds
Yep, but later
4,5
Kelly Slayton
Congratulations on this excellent venture… what a great idea!
Alexander Grigorievskiy
I use WIKI 2 every day and almost forgot how the original Wikipedia looks like.
Live Statistics
English Articles
Improved in 24 Hours
Added in 24 Hours
What we do. Every page goes through several hundred of perfecting techniques; in live mode. Quite the same Wikipedia. Just better.
In mathematics, specifically in the theory of generalized functions, the limit of a sequence of distributions is the distribution that sequence approaches. The distance, suitably quantified, to the limiting distribution can be made arbitrarily small by selecting a distribution sufficiently far along the sequence. This notion generalizes a limit of a sequence of functions; a limit as a distribution may exist when a limit of functions does not.
The notion is a part of distributional calculus, a generalized form of calculus that is based on the notion of distributions, as opposed to classical calculus, which is based on the narrower concept of functions.
Definition
Given a sequence of distributions , its limit is the distribution given by
for each test function , provided that distribution exists. The existence of the limit means that (1) for each , the limit of the sequence of numbers exists and that (2) the linear functional defined by the above formula is continuous with respect to the topology on the space of test functions.
More generally, as with functions, one can also consider a limit of a family of distributions.
Examples
A distributional limit may still exist when the classical limit does not. Consider, for example, the function:
Since, by integration by parts,
we have: . That is, the limit of as is .
Let denote the distributional limit of as , if it exists. The distribution is defined similarly.
One has
Let be the rectangle with positive orientation, with an integer N. By the residue formula,