And that manifests here in the beauty, love and attention brought to bear on moments and conditions that otherwise we may prefer not to see.
Given a pair of similar modules (in the sense defined above), we first check if their union has significant cluster structure: if it does not, we merge the two clusters, otherwise we systematically prefer the bigger one (if they are equal-sized, we pick the cluster with smaller score).
We suddenly desire to see much of what we otherwise prefer to avert our eyes and attention away from.
The choice is ours, and though we might prefer it otherwise we must choose in this crucial moment of human history.
Analogously, if (q<1/2), a voter with no other information than her prior would vote for policy A. Now, if the voter knew that at least one signal indicates a, she would prefer A. Otherwise, we assume she changes her mind and prefers E. Similar to the previous case, this requires the prior probability that A is the best policy being not too large, i.e., (qin (1-widetilde{q},frac{1}{2})).
An S.E.C. memo on the committee's proposed budget warns: "We may be forced to decline to prosecute certain persons who violate the law; settle cases on terms we might otherwise not prefer; name fewer defendants in a given action; restrict the types of investigative techniques employed; or conclude investigations earlier than we otherwise would".
Otherwise I prefer to talk.
Other experts (economists and otherwise) therefore prefer revenue uses aside from lump-sum rebates.
Otherwise, they prefer to deal with individual nations, as this week's reception in Beijing for Germany's chancellor, Angela Merkel, made clear.
Otherwise, I prefer to hang around here and go to parties in the neighborhood, or go to my friend's house, because he has a full floor dedicated to just hanging out, with a pool table and all that.
