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- W2126301214 abstract "In the seminal paper by Dahlen et al [1] the authors formulate an important expression as a first-order estimate of traveltime delay. The authors left out a term which would at first glance seem nontrivial, on the basis that their intention was to derive the Frechet derivative linking the observed delay to the model perturbation (Nolet 2009, pers. comm.). Here we show that the derivation by [1] results in a first-order estimate even without anticipating a Frechet derivative, but instead remaining deductively in their Taylor-series formulation. Although a mathematical technicality, this strengthens the result of [1] by showing that it is intrinsically valid, requiring no external justification. We show also that ignoring the aforementioned term is not valid in general and needs to be supported by careful argument." @default.
- W2126301214 created "2016-06-24" @default.
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- W2126301214 date "2010-03-13" @default.
- W2126301214 modified "2023-09-27" @default.
- W2126301214 title "Proof of validity of first-order travel estimates" @default.
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