File:LCost minus3plus12i.png
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Contour, $\map \cos t e^{-\paren {-3 + 12 i} t}$.
The integrand of $\laptrans {\map \cos t} \paren {-3 + 12 i}$
The integral does not converge; the Laplace transform does not exist for $s = -3 + 12 i$.
This image was generated using the R programming language, utilizing the ggplot2 package:
R Core Team (2016). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL https://www.R-project.org/.
H. Wickham. ggplot2: Elegant Graphics for DataAnalysis. Springer-Verlag New York, 2009.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 23:41, 13 December 2016 | | 1,294 × 800 (55 KB) | GFauxPas (talk | contribs) | Contour, $\cos\left({t}\right) e^{-\left({-3+12i}\right)t}$. The integrand of $\mathcal{L} \left\{{\cos \left({t}\right)}\right\}\left({-3+12i}\right)$ The integral does not converge; the Laplace Transform does not exist for $s = -3+12i$. |
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