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Since the penalty matrix K j is rank deficient, i.e. k j = rank K j < dim ξ j = d j, it follows that the prior for ξ j | τ j 2 is partially improper with Gaussian prior ξ j | τ j 2 ∝ N 0 ; τ j 2 K j −, where K j − is a generalized inverse of K j.
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We found inhomogeneity being partially caused by improper pre-treatment of the membrane material.
In the case of products prepared from a concentrated form, improper refilling of partially empty bottles can also result in improper dilution, thus altering the products' effectiveness.
Furthermore, Aurora B activity at centromeres, which is needed to correct improper microtubule attachments, is partially reduced upon condensin dysfunction.
Furthermore, they advised to use partially proper priors in order to avoid improper posteriors.
— the Improper Benefits bowl.
This was improper.
That was improper.
And partially.
Well, partially.
Only partially.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com