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The estimated changes in U.S. agricultural production under the ambitious assumption of full agricultural trade liberalization are well within the bounds of average annual variation for agricultural commodity production (Fig. 2).
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Corollary 5 (SUS for 2 Users): When K s = 2 active users are selected through SUS in each block, the upper bound of average minimum transmit power to achieve SINR target is given by: p S ( 2, K ) ≤ γ ( α M, K + K α M - 1, K - 1 - ( K - 1 ) α M - 1, K ).
In contrast to classical queueing theory, it deals with performance bounds instead of average values and thus has been the theoretical basis of quality of service proposals such as the IETF's Integrated and Differentiated Services architectures.
We derive the relationship between the average queuing delay for each class and these parameters, as well as the upper and lower bounds of the average queuing delay for each class.
We derive the relationship between the average queueing delay of each class and these parameters, as well as the upper and lower bounds of the average queueing delay for each class.
The numerical approximations of the expectation (blue curves) stay well within the theoretical bounds (red curves), whereas single trajectories (purple curves) of course may exceed the bounds of the average.
To be specific, by substituting the transformed point density (41) and the transformed inertia profile (43) into the distortion integral given by (25), the corresponding upper and lower bounds of the average system distortion of a MISO CSI-quantizer with transformed codebook has the following forms: (44).
Applying Lemma 1 and (19) into (21), the upper and lower bounds of the average end-to-end SEP, denoted by (overline P_{Etext {to}E}^{{mathcal {R}}}), are given as begin{array}{*{20}l} P_{e} le overline P_{Etext{to}E}^{{mathcal{R}}} le frac{3}{2}P_{end{arrayray} (22).
Much slower than a speeding train, unable to leap more than a few feet in a single bound, people of average physical abilities but outsize sartorial creativity have long taken to the streets in the United States, doling out comic-book inspired vigilante justice and occasionally ending up on the wrong side of the law.
The hypoxic fraction was defined as the percentage of the population that bound, on average, 10 times more pimonidazole than the aerobic population of cells (Olive et al, 2000).
Dashed lines indicate lower and upper bounds of the averaged coupling coefficient from our study.
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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