Sentence examples for be arbitrary extensions of from inspiring English sources

Let g ̃ j ∈ V 2, α l + j be arbitrary extensions of g j to Ω, j = 1,..., m.

end{aligned} (3.20)Note that ((u^f,h)_{Y_{jT_1}}) is understood as the extension of (L_2) inner product in ((u_1,h)) in (Gamma _infty '), where (u_1) is an arbitrary extension of (u^f) for (s>T_2).

The calibrations of disability can be arbitrary.

Change could be arbitrary.

While some of the devices used in poetry are arbitrary and purely conventional, most are natural extensions of structural properties inherent in natural language itself.

In addition, we consider an arbitrary extension of this solution of (2.8) from to requiring (2.9).

The choice of reference group was arbitrary.

For gap opening and extension costs, any choice is arbitrary since it is not data driven [ 47].

The interval width of 20 is arbitrary.

The interpretation of kappa is arbitrary.

38 The definition of hypertension is arbitrary.