Talk:Coffea and Laplace transform: Difference between pages
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The '''Laplace transform''' of a [[function]] ''f''(''t'') defined for all [[real number|real numbers]] ''t'' ≥ 0 is the function ''F''(''s''), defined by: |
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The old article follows: |
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: ''F''(''s'') = ∫<sub>0</sub><sup>∞</sup> ''e''<sup>-''st''</sup> ''f''(''t'') d''t'' |
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Coffee bean: A [[:bean|bean]]. A major cash crop. |
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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''). |
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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]]. |
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See also: [[Fourier transform]], [[transfer function]], [[linear dynamic system]]. |
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The use of coffee as a drink appears to have originated |
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in Arabia and was a popular way for [[:Muslim|Muslim]]s to |
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stay focused during prayer. |
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<hr> |
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Someone else wrote: |
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''[[:Cappucin Monks|Cappucin Monks]] discovered the stimulating effects.'' |
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I don't know if this is true, |
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however the name for the <em>cappuccino</em> drink |
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probably derives from the similarity between the drink's |
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appearance and the Cappucin Monks' habit. |
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(The above looks like an [[:old wives tale|old wives tale]] to me. --[[:hajhouse|hajhouse]]) |
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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.