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The results show an abrupt increase in groundwater discharge to the stream immediately upstream of the transition to confined conditions, and a corresponding, but not equal, decrease in groundwater discharge along stream reaches downstream of the edge of the confining unit.
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The first part of the likelihood, 2 θ 2 e − 2 (0.01 − X + 2 W ) θ 2, goes to infinity as X increases towards 0.01 (but not equal to 0.01) and W decreases towards 0, while θ2 = 0.01- X + 2 W. Note that 0.01- X+2 W >0 because X < 0.01 and W > 0. Thus we can set θ2 = 0.01- X + 2 W (all population sizes are always positive).
But not equal marriage.
The outputs are equivalent but not equal.
He had loyal lieutenants but not equals.
Imitated but not equaled.
Secondly, the amplitudes of the primary harmonics in a MFM signal are not equal and decrease as harmonic order increases.
At longer times after the administration, the concentrations of the chemicals start to decrease, but the decrease is not equal for all compounds.
"It's separate, but certainly not equal".
But separate is not equal.
"But 40% is not equal," it said.
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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