User:GFauxPas/Sandbox

Welcome to my sandbox, you are free to play here as long as you don't track sand onto the main wiki. --GFauxPas 09:28, 7 November 2011 (CST)

User:GFauxPas/Sandbox/Zeta2/lnxln1-x/existence

User:GFauxPas/Sandbox/Zeta2/lnxln1-x/integrand

User:GFauxPas/Sandbox/Zeta2/lnxln1-x/evaluation

User:GFauxPas/Sandbox/Zeta2/FourierSeries/

User:GFauxPas/Sandbox/Zeta2/Informal Proof

$\mathcal L \left\{{}\right\}$

Theorem
Let $a$ be a constant real number.

Let $\mathcal L$ be the Laplace Transform.

Then:


 * $\displaystyle \mathcal L \left\{{a}\right\} = \frac a s$

where $\operatorname{Re}\left({s}\right) > a$.

Proof
Perhaps better to consider a constant mapping than a constant? --GFauxPas (talk) 15:19, 9 May 2014 (UTC)


 * Or even make the page about $\mathcal L \left\{ {1}\right\}$ and make $\mathcal L \left\{ {a}\right\}$ a corollary... --GFauxPas (talk) 15:26, 9 May 2014 (UTC)