Sentence examples for be calculated explicitly for from inspiring English sources

Potential landscapes can only be calculated explicitly for the class of dynamical systems called gradient systems [ 32].

Extinction diameters are calculated explicitly from these results for methanol droplets burning in oxygen-nitrogen mixtures initially at 300 K and at normal atmospheric and subatmospheric pressures.

They can be calculated explicitly, and we provide necessary and sufficient conditions for their existence.

Here, (kappa ) is some unknown constant, but for (V_0=|x|^{-1}), it could be calculated explicitly.

Stirling numbers can be calculated explicitly.

Using the expression for the stress function derived in this paper, the pre-buckling stresses in the cylindrical shell due to partial loading can be calculated explicitly.

If entire distributions are known, then extinction probabilities can be calculated explicitly using (1).

Second, the prediction error and ITF need to be calculated explicitly.

Even in the case when such estimators arise from the assumption of relatively simple models for the variable of interest, as linear mixed models, the analytic form of the MSE is not suitable to be calculated explicitly.

Based on these properties, the fixed point index of the nonlinear operator is calculated explicitly and some sufficient conditions for the existence and uniqueness results of positive solution are established.

The kernel function is calculated explicitly.