How-tos and Laplace transform: Difference between pages

From Wikipedia, the free encyclopedia
(Difference between pages)
Content deleted Content added
mNo edit summary
 
m Automated conversion
 
Line 1: Line 1:
The '''Laplace transform''' of a [[function]] ''f''(''t'') defined for all [[real number|real numbers]] ''t'' ≥ 0 is the function ''F''(''s''), defined by:
Wikipedia articles that explain [[how to]] do something:


: ''F''(''s'') = &int;<sub>0</sub><sup>&infin;</sup> ''e''<sup>-''st''</sup> ''f''(''t'') d''t''
* [[How to write a Java applet]]
* the [[Wikipedia Cookbook]]
* [[How to cook pasta]]
* [[How to add content to Wikipedia with minimal effort]]
* [[How does one edit a page]]
* [[How to solve the Rubiks Cube]]


The Laplace transform ''F''(''s'') typically exists for all real numbers ''s'' > ''a'', where ''a'' is a constant which depends on the growth behavior of ''f''(''t'').
About 400 '''HOWTOs''' on [[Linux]] are published by the [[Linux Documentation Project]]. Many of them are licensed under the [[GNU Free Documentation License]] and can be included in the Wikipedia as long as attributed properly.

See also: [[Fourier transform]], [[transfer function]], [[linear dynamic system]].
*[[Linux Documentation Project/Beowulf HOWTO|Beowulf HOWTO]]
*[[Linux Documentation Project/SMB HOWTO|SMB HOWTO]]

----

There is an excellent argument for including this sort of information in an encyclopedia: an encyclopedia is a compendium of human knowledge. Usually, encyclopedias describe little of what epistemologists call ''[[procedural knowledge]],'' or knowledge of how to do things. Since this is a kind of human knowledge, and since it ''can,'' sometimes, be usefully imparted via prose (as well as, or instead of, by direct demonstration or teaching), an encyclopedia should include articles describing procedural knowledge.

Revision as of 01:53, 29 January 2002

The Laplace transform of a function f(t) defined for all real numbers t ≥ 0 is the function F(s), defined by:

F(s) = ∫0 e-st f(t) dt

The Laplace transform F(s) typically exists for all real numbers s > a, where a is a constant which depends on the growth behavior of f(t).

See also: Fourier transform, transfer function, linear dynamic system.