Sentence examples for cannot be expressed using from inspiring English sources

Healthy ecosystems should sustainably provide a range of ecosystem services to meet human needs, and such a concept often cannot be expressed using the traditional ecosystem health assessment.

However, unlike the full-space Greenʼs tensor, the elastodynamic half-space Greenʼs tensor cannot be expressed using derivatives of the Helmholtz fundamental solution.

To do this more efficiently, I'd need to write my own IO functions, ones that cannot be expressed using the threaded abstraction, but must instead fall back to raw asynchronous operations.

Subspaces that admit an interior point, which is a sufficient condition for a zero duality gap, yield a dual where the constraints cannot be expressed using the ordinary transpose of the primal constraint matrix.

Moreover, certain structural constraints cannot be expressed using conventional structure-handling formats, such as SMARTS.

However, because the early hydration reaction occurs with the spatial expansion of an external product and becomes increasingly densified because of the hydration, it cannot be expressed using the contact area alone.

Cost-outcomes analysis provides a more comprehensive presentation of information than other types of economic evaluation and is appropriate for complex interventions that generate outcomes that cannot meaningfully be expressed using a single metric such as those in this study.

Cost-consequence analysis provides a more comprehensive presentation of information than other types of economic evaluation and is appropriate for complex interventions that generate outcomes that cannot meaningfully be expressed using a single metric such as those in this study.

The standard errors of the two-step logistic and two-step Probit models cannot be expressed in closed form and were calculated using bootstrapping methods (using 1000 iterations).

The expressions in our result, the contraction condition, cannot be expressed in two variables, therefore the techniques used in (Int. J. Anal. 2013:917158, 2013; Fixed Point Theory Appl. 2012 210, 2012) are not applicable.

For instance, most programs written using an imperative programming style cannot be expressed as AFs.