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The next assertion shows that (resp., ) exists and is unique.
Counterparts of Theorem 1.6 for the difference D g are given in the next assertion.
The main result of this work is expressed by the next assertion.
The continuity of the operator F follows from property ((g1)) and the next assertion.
The next assertion can be regarded in some sense as a local counterpart of (49).
The next assertion deals with the general weighted Hardy-type inequality restricted to non-increasing functions.
Similar(49)
Next we give the following assertion, which is based on the idea of the proof in [16]; see [17] for the case of bounded domain in R N. Assume that (J1 - J5) hold.
His next assertion was fascinating: "These criminals only appeared on our streets and donned official uniform after the occupation arrived..
Summers next assertion is that we "include no corporate tax detail". Not true.
In the next stanza the assertion is adroitly denied: "'But this is not my ultimate goal,'/ I say – as if that were anything like the truth".
As the next section demonstrates, this assertion is strongly supported by a multiplicity of indirect evidence.
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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