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Exact(21)
And when we define that as r being equal to zero, essentially we're multiplying the probability density by zero.
Dispersion equations of Love waves in double porosity medium are obtained by utilizing the usual assumption of Love waves in elastic solid with the coupling mass coefficient ρ23 and coupling permeability term k(12) being equal to zero.
This feature of functions, the average being equal to zero, is not a strict filter and many functions can be considered as the wavelet functions based on it.
Further, Table 1 presents the accuracy achieved by the two algorithms for upper level objective function values, the theoretical optimum being equal to zero in all cases.
The Mueller scattering matrix follows from the amplitude matrix and is more complicated than that for scatterer 1: (4) the other elements being equal to zero.
The Mueller scattering matrix coincides with that of the Rayleigh case and is independent of the absolute phase ϕ t : (2) the other elements being equal to zero.
Similar(39)
Spacecraft communications are typically measured in bits, not bytes, one byte being equal to eight bits.
A k-community was set with k being equal to three (complete subgraphs of size k).
And so every other value here is equal to zero.
This is inconvenient when testing if a number is equal to zero.
When the subdepth is equal to zero, further lazy leafs are created.
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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