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"let us notice" is correct and usable in written English.
You can use it when you are addressing someone and want to draw their attention to something. For example: "Let us notice the changes in the environment around us."
Exact(54)
Step 3. Let us notice that (4.26).
Let us notice that if, then.
Last, let us notice that the constant functions.
Let us notice that the balls possess of legible properties.
Let us notice that this is a second attempt to generalize AW polynomials.
Let us notice that Theorem WD allows for the approximation error to be estimated.
Similar(6)
Let us do notice that the first component ϕ h of (2) is then the solution of the original problem (1).
Let us however notice that we do not expect such results if we increase both the number of abstract and concrete services.
(ii) Let us now notice that in the main theorems we replaced the condition that G is (locally) Lipschitz (which was used in most of the previously obtained existence results for measure-driven inclusions) by its upper semicontinuity.
After inserting (97) into (96), integrating over (]0,t[) and using (31) and (87) we immediately get (93). Now we prove (94). Let us first notice that (97) is also valid for the function ω.
Let us first notice, that in M 1 M, f M 1 s = - d v M 1, where v M 1 satisfies δ d v M 1 = 0 in M 1 M, v | ∂ M 1 = 0 since f = 0 in M 1 M. Therefore, v M 1 is analytic up to ∂ M 1.
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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