Exact(1)
Proof of Theorem 2.1: By C r inequality, it has E g n ( x ) - g ( x ) p ≤ c p E g n ( x ) - E g n ( x ) p + E g n ( x ) - g ( x ) p. (4.1).
Similar(59)
We consider G ˜ as a directed graph for which the set if its edges is symmetric, thus we have E ( G ˜ ) : = E ( G ) ∪ E ( G − 1 ).
Equivalently, the graph G ˜ can be treated as a directed graph having E ( G ˜ ) : = E ( G ) ∪ E ( G − 1 ).
The GNRs associated with m = 3p + 2 have E g that are too small and are not considered here.
Since it is more convenient to treat G ˜ as a directed graph for which the set of its edges is symmetric, under this convention we have E ( G ˜ ) = E ( G ) ∪ E ( G − 1 ).
Indeed, it is more convenient to treat G ˜ as a directed graph for which the set of its edges is symmetric, and under this convention, we have E ( G ˜ ) = E ( G ) ∪ E ( G − 1 ).
When the number of antennas at each BS n t is large, we have E [ ∥ g ∥ ] ≈ ∑ n = 1 N c α n 2 × E [ | | h n | | ].
Next to each country, write the type of government is has (e.g., democratic, communist, fascist, etc).
what the user has (e.g. access card, token); 3.
This list does not, by far, exhaust the means of time-travel (recovery), which cultural information has (e.g., archiving, excavation, and preservation).
Due to (E - G) is an invertible matrix, we have ((E - G P(E - G)^{T} > 0).
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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