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- W2003075541 abstract "Here is the gist of my three “theorems” (I hope the self-irony is appreciated). Suppose that we wish to locate Ottawa. A message is sent out from a point somewhere deep beneath Ottawa. It arrives first in New York and then in Moscow. What can we say about this observation? Let us bisect the arc New York–Moscow. We may state confidently that Ottawa is in the hemisphere that contains New York, not in the one that contains Moscow. How so? Because the great circle that bisects the arc New York–Moscow is the locus of all points that are equidistant from New York and Moscow. If some more observations are provided—Beijing, say, and Brisbane—we may repeat the operation sequentially as many times as there are pairs of observations. Theorem 1 says that Ottawa is contained in the intersection of all hemispheres that also contain the earliest of any pair of stations. This intersection is a topology; in fact, it is the smallest closed set containing Ottawa and can be made still smaller by adding more observations. But (here is the point of the exercise) we cannot determine the depth of the source located directly beneath Ottawa. The focal depth remains unconstrained.In functional analysis, we call such problems ill …" @default.
- W2003075541 created "2016-06-24" @default.
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- W2003075541 date "2008-02-01" @default.
- W2003075541 modified "2023-10-17" @default.
- W2003075541 title "Reply to Comment on 'Three Theorems of Earthquake Location' by Cinna Lomnitz by Catherine Woodgold" @default.
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- W2003075541 doi "https://doi.org/10.1785/0120070129" @default.
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