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Exact(17)
(N+1) M is equivalent to the number of all the possible combinations.
We say that f m is equivalent to g m, denoted by f m ∼ g m.
We assumed that M is equivalent to the moment magnitude M W in calculating stress drops.
The stability of a matrix M is equivalent to the condition ρ ( M ) < 1.
These may sound trivial amounts but 4 sq m is equivalent to having a sofa and small computer table in your house, Riba argues.
In [16], the operation employed to cancel ||x||21 M is equivalent to the orthogonal projection P. All anchors are chosen as a reference once in [17] in order to obtain M(M - 1)/2 equations in total.
Similar(43)
Here, the set of actions for attacker player is V j (s1,...s M ) where s1,...s M are equivalent to M different parameter/strategy selections for attacking algorithm.
On the other hand, the actions for attacker player are V j (s1,...s M ) where s1,...s M are equivalent to compression ratio of no compression, 0.1, 0.09,..., 0.01 for total 11 states.
All these words are subwords of words of the form (w(i';epsilon _1,ldots,epsilon _k)) such that the configurations ((i epsilon _1,ldots,epsilon _k)) and ((i',epsilon _1',ldots,epsilon _k')) of M are equivalent.
By recalling that A m − B m is coercive on V m, we see that there exists an R > 0 such that ( H m ( t, y ), y ) > 0 for every t ∈ [ 0, 1 ] and | y | ≥ R because ∥ ⋅ ∥ and the norm of R m are equivalent on V m.
D X ( M, Δ v m ) and X ( M ) are equivalent as topological spaces since Δ v m : D X ( M, Δ v m ) → X ( M ), defined by Δ v m x = y = ( Δ v m x k ), (1.1). is a linear homeomorphism.
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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