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)

$\Large \mathfrak {u \ U} \mathcal {u \ U} \mathscr {u \ U}$

Graphics
For Laplace Transforms:



Proof
Define the constant mapping:


 * $\displaystyle C \left({t}\right) = - \lim_{t \mathop \to +\infty} f \left({t}\right)$

Further define:


 * $g \left({t}\right) = f \left({t}\right) + C \left({t}\right)$

From:


 * Constant Function is of Exponential Order Zero,


 * Sum of Functions of Exponential Order,

it is sufficient to prove that $g$ is of exponential order $0$.

To that end,

To do

 * $\digamma$

Eventually
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

User:GFauxPas/Sandbox/NumberTheory