A new seismic model of the three-dimensional variation in shear velocity throughout the Earth's mantle is presented. The model is derived entirely from shear bodywave travel times. Multibounce shear waves, core-reflected waves and SKS and SKKS waves that travel through the core are used in the analysis. A unique aspect of the dataset used in this study is the use of bodywaves that turn at shall...

“We need not be surprised … that the Cartesian philosophy …, though it does perhaps contain a word of truth, should nevertheless have been so universally received by all Learned in Europe at time. [They] greedily receive[d] work which we justly esteem one most entertaining Romances has ever wrote.” LRBL ii.134

is small. For large delays, the Smith predictor is applied to solve the instability problem and the scheme is proved to be robust against a small difference between the assumed delay and the actual delay. The analysis shows that bustness against delays in the boundary measurement.

In this paper, we establish Lp norm bounds for spectral clusters on compact manifolds, under the assumption that the metric is C1,1. Precisely, we show that the Lp estimates proven by Sogge [12] in the case of smooth metrics hold under this limited regularity assumption. It is known by examples of Smith-Sogge [11] that such estimates fail for C1,α metrics if α < 1.

ever,melanoma-specific dermoscopic criteriawerepresent in 6 lesions. This finding highlights the challenge in differentiatingCMfrommelanomas andunderscores the importanceof interpretingmelanoma-specific structures in thecontextof criteria formelanocytic lesionswhenusing the2-stepalgorithm.5 Dermoscopy users must also be familiar with the advantages and limitations of polarized andnonpolarizedde...

1. Lattices in Euclidean Space 3 1.1. Discrete vector groups 3 1.2. Hermite and Smith Normal Forms 5 1.3. Fundamental regions, covolumes and sublattices 6 1.4. The Classification of Vector Groups 12 1.5. The space of all lattices 13 2. The Lattice Point Enumerator 14 2.

Harmony theory has been essential in composing, analysing, and performing music for centuries. Since Western tonal harmony exhibits a considerable amount of structure and regularity, it lends itself to formalisation. In this paper we present HARMTRACE, a system that, given a sequence of symbolic chord labels, automatically derives the harmonic function of a chord in its tonal context. Among oth...

Fitelson and Waterman (2004)’s principal objection to Strevens (2001)’s Bayesian treatment of auxiliary hypotheses rests on a misinterpretation of Strevens’s central claim about the negligibility of certain small probabilities. The present paper clarifies and proves a very general version of the claim.