Sentence examples for this requires representing from inspiring English sources

This requires representing the order parameter as a scalar field on many-dimensional space ψ (z → ), the perturbations (Eqs. (5) and (6)) being modified accordingly as sin (k r → z → + ϕ r ).

This requires representing the order parameter as a scalar field on many-dimensional space ψ (z → ), the perturbations (Eqs. (5) and (6) ) being modified accordingly as sin (k r → z → + ϕ r ). 3. Canonical state sampling.

Evaluating dissimilarity requires representing the metagenomic sample in a suitable feature space.

In addition, a score of at least 20 points on the Young Mania rating Scale was required representing moderate to severe mania.

In addition, a score of at least 20 points on the Young Mania rating Scale [ 19] was required representing at least a moderate to severe mania.

In clinics, nursing staffing is only 77% of what is required, representing a gap (210 nurses) that is over three times larger than the gap for health centers.

Conversely, the very fast dynamics required represents one of the main issues for the design of the RWM control system.

We hypothesise that the basal JNK1/c-Jun pro-apoptotic pathway may be held in check by JNK2 until terminal apoptosis is required (represented schematically in Fig. 10).

In particular, in the treatment of diabetes, insulin – when required – represents an important source of spending for patients and their families.

This requires leaders representing differing philosophies to stand, so that we have the semblance of choice.

For cellular phenomena, this requires models that represent the action of multiple enzymes as contributors to the behaviour observed.