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We denote Δf as the maximum infinite norm of difference between the outputs when changing one sample point in z.
In order to decide whether current solution is converged, the norm of difference between the solution vectors of current and former iterations is an obvious indicator.
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Figure6 plots the reconstruction error (norm-2 of difference between the real and reconstructed value functions weighted by the steady-state distribution) as a function of T achieved by LASSO for different values of the sampling rates.
Therefore, the data misfit corresponds to a dimensionless, weighted L2 norm of differences between the predicted and observed magnetic fields over the Earth's surface and time.
The formulas for the rate functions of the pointwise difference and the uniform norm of the difference are expressed in terms of the underlying density function and their asymptotics are found.
The sharp estimates of the norms of differences for the functions in Sobolev spaces have firstly been proved by Besov et al. [1, Volume 2, page 72].
In order to compare the difference between the control matrix and condition-specific matrices we quantified the drift using the Frobenius matrix norm of the difference between the matrices.
We note that the two components that were used differ only by 24% in their Raman spectra (given by the norm of the difference).
The cost functional or discrepancy is defined as the L-2 norm of the difference between experimental and simulated measurements.
Detection of discontinuity was done using the L 2 norm of the difference of parameter vectors, δ P, at the suffix boundaries.
On Figure 3b, the Frobenius norm of the difference of a two-step projection tensor is shown.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com