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A proven mathematical algorithm designed for the reconstruction of layer structures from distorted emission traces caused by the Gaussian ablation profile can even resolve thin intermediate layers in terms of depth and thickness.
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The astronomers of the Sloan survey saw what they believe is a shadow caused by the last traces of that fog in the light of the most distant object ever seen, a cosmic beacon called a quasar that members of the same team discovered earlier this year.
The filtering of the activation matrix by H A, done in step 3 of the NMF update algorithm, is motivated by the need to remove traces of reverberation that remain in matrix A. These traces are caused by imperfections in the initial estimation stage and by the first stage of NMF reconstruction before the filter update is applied (step 2 and Fig. 3).
Chemical etching revealed traces along 〈310〉t directions adjacent to indentations, and Raman spectroscopy and TEM have shown that these traces are caused by products of the martensitic transformation, i.e. the monoclinic product phase forms primarily as thin, long plates with a habit plane approximately on (3̄01)m.
These traces are caused by silver nanoparticles accumulating within the encapsulation foil directly above the grid finger.
The small but distinguishable variation in the A and T signal within the broad (∼25 bp) maximum of the intensity traces is caused by the conformation of the DNA molecule in proximity of the bow tie.
In-parallel monitoring of the methane and hydrogen traces (largely caused by the reaction CH4 → C + 2H2) yields information on both the onset of methane dissociation (i.e., if the methane dissociation occurs at similar temperatures as detected in the impedance measurements) and the exact amount of deposited carbon.
The cusp of the echo trace is caused by the rather long time delay that occurs as the sounding frequency is very close to the peak ionospheric plasma frequency.
Patients with major burns suffer acute early trace element depletion caused by the large exudative trace element losses (selenium, copper, and zinc), which persist until wound closure [ 7].
Looking back over her novel in progress, she sees "little jarring reverberations now here, now there," the traces of interruptions caused by her children: "Here I nursed Prudence with bronchitis; here Stevie was ill for a month; here I put down my pen to bottle fruit".
Local residents heard of these comment and began speculating as to the spate of deaths, so that Police eventually exhumed Oliver Leonard and Ernest Wilson in 1958 and found traces of phosphorus caused by rat poison.
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