Exact(5)
Because q k is continuous, this term is arbitrarily every x ∈ ( 0, π ).
It may be of interest to note that in this case, property (q3) of c-distance has to be used in the course of the proof (see, e.g., the respective procedure in ordered cone metric spaces in [19]), while in our case (when f is continuous), this property is not needed.
If f is continuous, this yields the ((M, N -convexity of f; that is, f bigl(M(x, y; 1-lambda,lambda) bigr) leq N -convexityf(y); 1-lambda, lambda bigr) fof every (x, y in I) and every (lambdain[0, 1]).
Since H is closed and J is continuous, this implies 0 ⪯ H lim inf m → ∞ J α ( x, x m ) − J α ( x, x 0 ), that is, for each ( x, α ) ∈ X × A, the map J α ( x, ⋅ ) is lsc in X.
It is traditional for officers to recite the oath upon promotion but as long as the officer's service is continuous this is not actually required.
Similar(55)
Since the operators P and q are continuous, this estimate implies the continuity of the operator U. □.
If the ribbons are continuous, this would suggest that the underlying structure has rotational symmetry.
The continuity of at now follows from the fact that is continuous at this point.
In case is right-scattered and is continuous at, this reduces to (2.5).
If is rd and is continuous at, this reduce to (2.5).
Total number of children alive at the index pregnancy; this variable is continuous (linear) in this model.
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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