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Further, it is almost certain that an actual filament samples many different structures contained within the manifold sampled by the available models.
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Then we build the connections between the points sampled different manifolds using the characterized manifold structure.
Each feature is represented as a densely sampled parametric manifold in a low-dimensional subspace of a Hilbert space.
Exhaled breath (primarily alveolar) was collected remotely in an evacuated 1-L Silcosteel canister, attached to the breath sampling manifold by manually opening the canister valve and allowing the breath to flow back through the containment coil, back through the stainless steel sampling line, and into the canister until the contents of the canister reached near-atmospheric pressure (≤1 min).
In [28], each person is represented by a low-dimensional appearance manifold learned from training exemplars sampled from videos.
A manifold and sample cells capable of operating at high pressure were designed, constructed and evaluated.
The ion exchange cartridges were operated in vertical direction using a Supelco 12-port-Visiprep SPE vacuum manifold before sample feed.
We present an algorithm to mesh point clouds sampled from a closed manifold surface of genus 1.
If we suppose that Φ j = Φ ∈ ℝ M×N for all j, then each measurement vector we obtain will be a point sampled from the embedded manifold Φℳ ⊂ ℝ M. From samples of Φℳ in ℝ M, we would like to recover samples of (or perhaps all of) ℳ in ℝ N, and this may be facilitated if Φℳ preserves the original geometric structure of ℳ.
As in the case of the intensive bathroom air samples, the sampling manifold allowed the rapid collection of successive grab breath samples.
Process methodologies are discussed, prerequisites for process control and monitoring are given followed by a number of applications for sampling devices, manifold configurations and simultaneous assays, thus, solving the problems of sequential injection systems as process analyzers.
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