Sentence examples for which implies that a from inspiring English sources

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Hence we have (r=0), which implies that (a(d x,M t)))rightarrow0) as (trightarrowinfty).

Because A is c.d.d., 〈A〉 is a nonsingular M-matrix, and so is 〈A(1)〉, which implies that A(1) is also a c.d.d.

The term is derived from the Italian concertare, "concerted," which implies that a heterogeneous group of performers is brought together in a harmonious ensemble.

A particularly beautiful and important result is the martingale convergence theorem, which implies that a nonnegative martingale converges with probability 1 as n → ∞.

which implies that A has the mixed monotone property.

Suppose the latter holds, then A p = H, which implies that A is nilpotent, a final contradiction completing the proof.

Thus, d ( x ∗, y ∗ ) ≤ a d ( x ∗, y ∗ ), which implies that a ≥ 1, which is a contradiction.

Respondent's contribution categories yield positive coefficients, which implies that a larger contribution to the household income also increases the WTP.

This requires slightly regularising the inversion, which implies that a smoothing parameter has to be set arbitrarily.

In all Cu cells annealed at T≥300°C signs of Cu diffusion are present, which implies that a barrier layer inhibiting Cu diffusion is necessary.

Crown scorch persisted further into the treated areas than did bole char, which implies that a high intensity surface fire was maintained in the treated areas.

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