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Here, the necessary estimates are split into several parts which are separately considered in the following.
In this paper, we prove the necessary estimates for the proof of an existence theorem of asymptotically almost periodic solutions for (1.1).
The necessary estimates of the expected variance in species richness across areas were derived from a prior project on biodiversity patterns in Austrian agricultural landscapes [36].
We have previously approached this problem by capturing the necessary estimates in the form of a Bayesian probability distribution.
The necessary estimates of effectiveness should be elicited from domain experts who do not have a psychological or material personal stake in the outcome.
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Together with your real estate agent, perform a preliminary feasibility analysis, in which you identify the repairs necessary, estimate the cost of these repairs, and estimate the market value of the home after the repairs.
The following lemma from [1] contains necessary estimates of the solution to (1.1).
As a first step in the analysis of (3.1), we derive the necessary auxiliary estimates used in the discussion of the solution behavior.
In order to obtain the necessary uniform estimates and overcome the difficulty of a singular diffusion term, the entropy functional method is used.
The model could be extended to take these longer term and broader societal impacts into account given the necessary parameter estimates.
We use the term 'video quality agent' to refer to a software process, integrated with an existing decoder or with its own decoding ability, that can analyze a bitstream, extract the necessary features, estimate the necessary parameters, calculate the quality estimates, and finally, communicate those measurements to another software process running in the network.
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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