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 May 18 awarded Notable Question Oct 28 accepted How do I compute $\int_{-\infty}^\infty e^{-\frac{x^2}{2t}} e^{-ikx} \, \mathrm dx$ for $t \in \mathbb{R}_{>0}$ and $k \in \mathbb{R}$? Oct 27 comment How do I compute $\int_{-\infty}^\infty e^{-\frac{x^2}{2t}} e^{-ikx} \, \mathrm dx$ for $t \in \mathbb{R}_{>0}$ and $k \in \mathbb{R}$? So I found this, thanks for your help I guess... Oct 27 comment How do I compute $\int_{-\infty}^\infty e^{-\frac{x^2}{2t}} e^{-ikx} \, \mathrm dx$ for $t \in \mathbb{R}_{>0}$ and $k \in \mathbb{R}$? Could I argue that the integral along this contour vanishes and as the paths left and right (in vertical direction) cancel each other, the integral along the complex path must equal the integral along the real axis and therefore for $T \to \infty$ the integral from $-\infty$ to $\infty$ equals the integral from $-i \infty$ to $i \infty$? Oct 27 comment How do I compute $\int_{-\infty}^\infty e^{-\frac{x^2}{2t}} e^{-ikx} \, \mathrm dx$ for $t \in \mathbb{R}_{>0}$ and $k \in \mathbb{R}$? I don't quite understand. Could you maybe tell me what in my case would be $c$? What do I have to use as $f$ in Cauchy's formula? Oct 27 asked How do I compute $\int_{-\infty}^\infty e^{-\frac{x^2}{2t}} e^{-ikx} \, \mathrm dx$ for $t \in \mathbb{R}_{>0}$ and $k \in \mathbb{R}$? Oct 23 awarded Popular Question Oct 15 awarded Nice Question Oct 14 accepted “A proof that algebraic topology can never have a non self-contradictory set of abelian groups” - Dr. Sheldon Cooper Oct 12 asked “A proof that algebraic topology can never have a non self-contradictory set of abelian groups” - Dr. Sheldon Cooper Oct 12 awarded Scholar Oct 12 accepted Find all homomorphisms $\varphi: C_4 \to V$ or $\psi: V \to C_4$ where $C_4$ is the cyclic group and $V$ the Kleinian group Oct 11 awarded Student Oct 11 asked Find all homomorphisms $\varphi: C_4 \to V$ or $\psi: V \to C_4$ where $C_4$ is the cyclic group and $V$ the Kleinian group