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Nevertheless, based on the assumption above, the volumetric reaction rate should remain unaffected.
With the linear assumption above, the IFM of the mirror can be obtained by experimental identification.
After analyzing them we find no clear indications of a significant representativeness error in electron density profiles due to the spherical assumption above 120 km height.
The assumption above is that the signal spectrum does not have the symmetry about the center frequency, meaning that it contains the information of phase.
The first derivative of utility is the marginal utility and the second assumption above is the law of diminishing marginal utility.
where is the frequency response of the channel between the transmitter and receiver antenna, and if there are large Doppler frequency shifts in the channel, then the time-invariance assumption above is no longer valid.
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In the assumptions above, the pullback functor (o^*) resp.
(ii) For the Schrödinger Pauli operator (5.4), one only needs to replace "((2j+1))" by "2j" in the assumptions above. .
The simplifying assumptions above have been sufficient for the systems we inspected, and could be easily removed.
On the assumptions above, one full-time practitioner can provide headache care at level 1 for a population no larger than 35,000.
The assumptions above are some kind of strict convexity requirements and they are satisfied if (H) is strictly convex in (p).
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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