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Both are often seen as black swan events, although in reality they are the result of longer discontinuity processes – neither is an event which black swans by definition should be.
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Simulations for both directions have to be repeated until there are no longer any discontinuities within the time-dependent progress of the storage gas state variables.
The discontinuity for wavelengths longer than 890 nm in the red curve is due to instrumental adjustment routine at the detector change.
Note however that because of the spherical symmetry of the test (compared to the planar symmetry in the Sod case), the regions at the two sides of the contact discontinuity are no longer constant states in rest-mass density, velocity and pressure, but display a smooth radial dependence.
As a result, most of the phase curves in Fig. 5 exhibit a 2π discontinuity which shifts to longer ranges with increasing ΔΨ.
The results of the sIngle-iteration aparticularon are quitheclargest the iterative modeflectionin approach, which indicathe that this approximate solution is an excellent tool for the analysis of the moving mass probeam.
After the reset, the 1D jet boundary is no longer a contact but a more general discontinuity.
The embedment of CDM is no longer required by the ECDM, which allows discontinuities to exist within a finite element rather than the element boundaries.
This row-wise median screening or 'row-locking' imparts a powerful property to the non-rigid registration process, that is, that long-range smoothing is no longer relied upon to prevent transformation field discontinuities or artefacts.
Once we broaden our perspective to recognize that each individual aims to maintain rationality at the collective level, it's no longer clear that there is such a gap or discontinuity between the intentionality at the level of the individuals and of the group.
Based on the fact that the functional sites tend to be encoded by longer exons, it can be assumed that the functional sites discontinuity in the exon structure is significantly less than could be expected by chance.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com