Talk:Coffea and Laplace transform: Difference between pages

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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).

Revision as of 17:01, 28 January 2002 edit Conversion script (talk \| contribs) 10 edits m Automated conversion		Revision as of 01:53, 29 January 2002 edit Conversion script (talk \| contribs) 10 edits m Automated conversion
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: ~~The old article follows:~~ : ''F''(''s'') = ∫<sub>0</sub><sup>∞</sup> ''e''<sup>-''st''</sup> ''f''(''t'') d''t'' ~~Coffee bean: A [[:bean\|bean]]. A major cash crop.~~ 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''). ~~Coffee drink: A hot beverage prepared by passing hot [[:water\|water]] onto or through ground roasted coffee beans. A stimulant due to the effects of [[:caffeine\|caffeine]].~~ See also: [[Fourier transform]], [[transfer function]], [[linear dynamic system]]. ~~The use of coffee as a drink appears to have originated~~ ~~in Arabia and was a popular way for [[:Muslim\|Muslim]]s to~~ ~~stay focused during prayer.~~ ~~<hr>~~ ~~Someone else wrote:~~ ~~''[[:Cappucin Monks\|Cappucin Monks]] discovered the stimulating effects.''~~ ~~I don't know if this is true,~~ ~~however the name for the <em>cappuccino</em> drink~~ ~~probably derives from the similarity between the drink's~~ ~~appearance and the Cappucin Monks' habit.~~ ~~(The above looks like an [[:old wives tale\|old wives tale]] to me. --[[:hajhouse\|hajhouse]])~~