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The modeled quantities are represented by an ensemble of sampling points which are evolved according to the corresponding Green function.
The uncertain isolator parameters, the random base excitation and the system response quantities are represented by the truncated gPC expansions.
Fluid quantities are represented on a grid, and the immersed filaments are each represented by a discrete collection of moving points.
Fluid quantities are represented on a grid (Eulerian description), and the immersed boundary is represented by a discrete collection of moving points (Lagrangian description).
We present a fully deterministic approach to a probabilistic interpretation of inverse problems in which unknown quantities are represented by random fields or processes, described by possibly non-Gaussian distributions.
All quantities are represented in the spherical harmonic domain.
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Before flux separation, dipping glue quantities were represented by dashed lines.
The reciprocal relationship between the two quantities is represented by an expression similar to that in Eq. (1).
(mathrm {j}triangleq sqrt {-1}) and the real and imaginary parts of a complex quantity are represented by ℜ and I, respectively.
Each "observable" real-valued random quantity
Standard deviations of mean values were calculated for each protein quantity and are represented by bars within the graph (Figure 2 & 3).
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CEO of Professional Science Editing for Scientists @ prosciediting.com