Sentence examples for derived provided that from inspiring English sources

Then, the analytical relation between RQD and discontinuity frequency that may be derived, provided that discontinuity sets follow the negative exponential model, is validated against simulation data.

With the aid of the elliptic-like subsidiary ordinary differential equation (sub-ODE for short) and the sine cosine method, the various exact solutions of two special type RKL models are derived provided that the coefficients of two special type RKL models satisfy certain constraint conditions.

The simplification is that non-degradable structure is omitted so that steady-state solutions can be derived, providing the insights that can be obtained from analytical expressions.

Now, we can apply DS to ¬r ∨ s and r to derive s provided that s ∧ ¬s does not obtain.

When the explanatory variable is normally distributed in the combined population of subjects, then the formulas that we derived provide a reasonably accurate prediction of the empirical c-statistic.

Beyond that, EC 4 defines a minimum degree of shear connection to be provided, that was derived for composite members with double flange steel section and stud connectors through systematic FE analysis.

Evidence has provided that bone marrow derived mononuclear cells represent an effective cell source for bone tissue engineering and thus might provide an alternative to the use of long-term cultured cells such as MSC.

The results we derive provide the sample complexity which guarantees that the solutions obtained with SPV algorithms meet some pre-specified probabilistic accuracy and confidence.

Model-derived deterministic transformations are compatible with statistically derived ones, provided that the distributed character of the cardiac sources is taken into account.

Second, the resultant signal is fed to the decision-making stage, which allows calculation of HR from intermittent ECG periods of 30 s in duration, based on a set of rules and empirically derived thresholds, and provided that certain internal quality assurance checks have been passed.

Initially, a result is derived that provides necessary and sufficient conditions for the existence and the explicit form of an ε-independent coordinate change that transforms the two-time-scale process into a standard singularly perturbed form.