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Intermediate sets that would exceed a valid sum of distances, max PL, are pruned early (line 28); otherwise, they are pushed back onto the stack for further expansion.
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For a protocol to be considered valid, the sum of the responses on the Validity Scale must be less than or equal to 12, corresponding to all of the three items being scored as at most as four on the seven-point Osgood scale.
In this context, the sum over all logarithms of possible outcomes of the variable is a valid measure of the amount of information, or uncertainty, contained in a variable 19.
In sum, the SCIP produced a valid quantification of cognitive status in bipolar patients by psychiatrists with minimal training on the tool, and the small magnitude of practice effects with the alternate forms suggest that it may also be useful for monitoring progress through time.
The supposed definition of "racial profiling" — that the alleged behavior of any fragment of a population becomes the basis for categorizing it in its sum, that epidermal hues are a valid means of reflexively predicting character — is what we, in more honest moments in our past, simply referred to as racism.
Therefore p ~B) ≤ p ~A1) +... + p ~An): the improbability of the conclusion of a valid argument cannot exceed the sum of the improbabilities of the premises.
In sum, a valid, but inconvenient interpretation of AD genetics is that the aberrant processing of APP, or of other proteins cleaved by presenilin containing enzymes, is the key contributing factor in familial AD, rather than solely aberrant production of Aβ that contributes to histopathology.
In context, each is a valid expression of our identity.
They had a valid contract of temporary marriage.
It's a valid part of the mainstream culture.
That has to be a valid invocation of a privilege.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com