...

On assignment from the Space Telescope Division of the European Space Agency (ESA).

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...

Jansky-Fellow.

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... estimate

Here, we have adopted a Gaussian beam for which the solid angle is $1.13 \Theta^2$. For comparison, a circular beam (which is also used in the literature) covers a solid angle of $\pi /4\cdot \Theta^2$, and hence yields $M_{\rm H_2} = 68 D^2 I_{10} \Theta^2\; [\>{M_{\odot}}]$.

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... anomalously

Specifically, we consider as HI-deficient those galaxies which deviate by more than $3\sigma$ from the relation between $M_{\rm HI}$ and linear diameter found by Haynes & Giovanelli (1984) (their Table V).

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