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DYK for Bootstrapping node

On 30 December, 2008, Did you know? was updated with a fact from the article Bootstrapping node, which you created or substantially expanded. If you know of another interesting fact from a recently created article, then please suggest it on the Did you know? talk page.

Dravecky (talk) 03:22, 30 December 2008 (UTC)

Category changes

Why are you removing perfectly valid categories from articles? Merging to less specific categories is not acceptable. In at least one case, you have even removed the lead article from a category. If you are planning to empty these categories, take it to CfD first. If not, your actions would be consider vandalism. Vegaswikian (talk) 00:59, 19 January 2009 (UTC)

Hi dats grt —Preceding unsigned comment added by 203.115.12.114 (talk) 11:24, 1 September 2010 (UTC)

Your recent edits

Hi there. In case you didn't know, when you add content to talk pages and Wikipedia pages that have open discussion, you should sign your posts by typing four tildes ( ~~~~ ) at the end of your comment. If you can't type the tilde character, you should click on the signature button located above the edit window. This will automatically insert a signature with your name and the time you posted the comment. This information is useful because other editors will be able to tell who said what, and when. Thank you! --SineBot (talk) 06:48, 19 January 2009 (UTC)

DYK nomination of Insert Subscriber Data

Hello! Your submission of Insert Subscriber Data at the Did You Know nominations page has been reviewed, and there still are some issues that may need to be clarified. Please review the comment(s) underneath your nomination's entry and respond there as soon as possible. Thank you for contributing to Did You Know! Shubinator (talk) 04:50, 20 January 2009 (UTC)

A complement for your effort...

...on creating template:channel access methods! Mange01 (talk) 23:33, 12 February 2009 (UTC)

Examples of convolution

I saw the wiki page, but I couldn't find any examples using actual numbers evaluating the formula. Could you give some examples of convolution, please? Mathijs Krijzer (talk) 22:13, 9 March 2013 (UTC)

Definition

The convolution of f and g is written f∗g, using an asterisk or star. It is defined as the integral of the product of the two functions after one is reversed and shifted. As such, it is a particular kind of integral transform:

$(f*g)(t)\ \ \,$	${\stackrel {\mathrm {def} }{=}}\ \int _{-\infty }^{\infty }f(\tau )\,g(t-\tau )\,d\tau$
	$=\int _{-\infty }^{\infty }f(t-\tau )\,g(\tau )\,d\tau .$       (commutativity)

Domain of definition

The convolution of two complex-valued functions on R^d

$(f*g)(x)=\int _{\mathbf {R} ^{d}}f(y)g(x-y)\,dy$

is well-defined only if f and g decay sufficiently rapidly at infinity in order for the integral to exist. Conditions for the existence of the convolution may be tricky, since a blow-up in g at infinity can be easily offset by sufficiently rapid decay in f. The question of existence thus may involve different conditions on f and g.

Circular discrete convolution

When a function g_N is periodic, with period N, then for functions, f, such that f∗g_N exists, the convolution is also periodic and identical to:

$(f*g_{N})[n]\equiv \sum _{m=0}^{N-1}\left(\sum _{k=-\infty }^{\infty }{f}[m+kN]\right)g_{N}[n-m].\,$

Circular convolution

Main article: Circular convolution

When a function g_T is periodic, with period T, then for functions, f, such that f∗g_T exists, the convolution is also periodic and identical to:

$(f*g_{T})(t)\equiv \int _{t_{0}}^{t_{0}+T}\left[\sum _{k=-\infty }^{\infty }f(\tau +kT)\right]g_{T}(t-\tau )\,d\tau ,$

where t_o is an arbitrary choice. The summation is called a periodic summation of the function f.

Discrete convolution

For complex-valued functions f, g defined on the set Z of integers, the discrete convolution of f and g is given by:

$(f*g)[n]\ {\stackrel {\mathrm {def} }{=}}\ \sum _{m=-\infty }^{\infty }f[m]\,g[n-m]$

$=\sum _{m=-\infty }^{\infty }f[n-m]\,g[m].$       (commutativity)

When multiplying two polynomials, the coefficients of the product are given by the convolution of the original coefficient sequences, extended with zeros where necessary to avoid undefined terms; this is known as the Cauchy product of the coefficients of the two polynomials.

ArbCom elections are now open!

Hi,
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ArbCom 2017 election voter message

Hello, Mojodaddy. Voting in the 2017 Arbitration Committee elections is now open until 23.59 on Sunday, 10 December. All users who registered an account before Saturday, 28 October 2017, made at least 150 mainspace edits before Wednesday, 1 November 2017 and are not currently blocked are eligible to vote. Users with alternate accounts may only vote once.

The Arbitration Committee is the panel of editors responsible for conducting the Wikipedia arbitration process. It has the authority to impose binding solutions to disputes between editors, primarily for serious conduct disputes the community has been unable to resolve. This includes the authority to impose site bans, topic bans, editing restrictions, and other measures needed to maintain our editing environment. The arbitration policy describes the Committee's roles and responsibilities in greater detail.

If you wish to participate in the 2017 election, please review the candidates and submit your choices on the voting page. MediaWiki message delivery (talk) 18:42, 3 December 2017 (UTC)