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Because the weights depend on the cluster memberships, in order to find the optimal solution, one may compare the loss function for all possible ways of cluster membership reassignment.
One may compare the written words, printed in full in the "Listener," with Bell's or T. S. Eliot's "Towards a definition of culture," but the written words are only half Sir Kenneth's story.
One may compare the emergence of the separate Romance languages from once unitary Latin with the splitting of South American Spanish and Portuguese into different dialects of those two languages.
One may compare the explanation in Hebrews 4 3 9 of God's "rest" mentioned in Psalms 95 11 by reference to his resting on the seventh day after creation's work (Genesis 2 3)—an explanation dependent on the Septuagint, not the Hebrew.
One may compare equation (10) with (5).
One may compare this inequality with the one given in Theorem 3.8 of [19].
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One may also compare estimates of average behavior of different types of vehicle pairs, through regression slopes and intercepts presented in Table 4.
Yeast is a good organism to study this as equal numbers of optimal codons end in -GC and -AT and one may hence compare frequencies of optimal GC- with optimal AT-ending codons to disentangle the forces.
Taking (m=k) and noting that (k!={ ( 1 ) }_{k} ) we may compare our result to the one in [16].
Investors may compare the two prices.
For certain purposes, one may wish to compare and contrast opinions of different group types.
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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