Capture-Recapture methods are ingenious and efficient ways of deriving population parameters in the face of sampling constraints. Consider, for instance, that you wished to know the metropolitan population of pigeons. This would be a challenging task, and it would take a long time to mark every single pigeon. Capture-Recapture entails what its name indicates: first capture a subset of the pigeon population, mark it, and release it. Then, on a second occasion, recapture a same-sized subset of the pigeon population. The ratio of marked to unmarked pigeons in your subset would then allow you to infer the total population.

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$$\int_{-\infty}^{\infty} f(x)\, e^{-2\pi i \xi x}\, dx = \hat{f}(\xi)$$

Similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio, where $\hat{f}(\xi)$ denotes the Fourier transform of $f$ evaluated at frequency $\xi$.

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