Sentence examples for particularly implies from inspiring English sources

Corollary 3.7 particularly implies the following facts.

The relation (2.15) particularly implies that, for, (2.20).

This particularly implies that the size of the resulting IFC file increases.

Theorem 2.1 particularly implies that the operator O is uniformly sectorial in X; i.e. if  is uniformly R-positive for (varphi in ( frac{pi }{2},pi ) ) then (see e.g. [29], Section 1.14.5) the operator (O+a) is a generator of an analytic semigroup in X.

It is well known that solutions x ( t ) of (1.4) with 0 < α < 1 are unbounded in a right neighbourhood of the initial point t = 0. Consequently, the introduction of a fractional sum via the relation (1.2) with k varying from k = 0 to k = n particularly implies that the value of y ( 0 ) has to be defined (and finite), which is not quite consistent with this continuous pattern.

This proves weak discrete reliability (B4) with R (ε ; T ^, T ) ≔ T ∖ T ^ and C drel ≔ C drel C δ and δ = ε / C drel and particularly implies reliability  (3.7) as proved in Lemma 8.2.

Justification for differential character weighting, particularly implied weighting, has been given elsewhere20,24,37.

Historically, there are several types of structures particularly implied by the name.

It is concluded that zinc deposition and dissolution involve at least four adsorbates, do not occur only by series reactions and particularly imply a slow and sharp electrode activation with increasing overpotential.

Moreover, the above stated assumptions on τ particularly imply that τ ′ ( t ) ≤ q − 1 < 1 for all  t ∈ I, (4.4).

Even in those without documented psychopathology, hanging particularly implied an extremely high risk for subsequent suicide.