Sentence examples for derived upon which from inspiring English sources

26 A sampling map (see online supplementary figure S1) was created with a hypothetical upstream point from which a site-by-edges matrix is derived, upon which principal component analysis is performed (see online supplementary figure S1 for workflow and supplementary figure S2 for an illustrative example).

Upon this, the bond damage evolution curves are derived thereafter, which are found to strictly follow the lognormal distribution or Weibull distribution.

The system of partial differential equations is derived which contains discontinuous coefficients on the right-hand side which depend upon time.

It should be noted that most serum VEGF is derived from platelets, which are activated upon coagulation [ 24].

Drawing principally upon tools from screw theory, a parametric objective function is derived which quantifies the robots' performance with respect to the given ITD.

Based upon the findings and a test data bank an advanced design model is derived, which is based on the BS 8110-1 1997 provisions.

Therefore, high-quality coke can be derived from coal which has organic matter with chemical structures capable of turning into a plastic state upon heating, coke formation and sintering (Chauhan and Vijayavergia 2006).

Upon application of a discriminative machine learning approach, two different prediction methods were derived, both of which showed high prediction accuracy for diverse plant species and recognized specific targeting-enhancing patterns in the regions upstream of the PTS1 tripeptides [ 16].

The RMSE, MAPE, and TP rate were calculated for both calibration and validation datasets, for comparative purposes; however, those of the validation datasets were of greatest interest because they provide insight to the practicality of the models and parameters beyond the dataset upon which they were derived.

This knee-joint kinematics leads to a physically more accurate contact-point trajectory than methods based on multiple circles or lines, and provides a basis to derive a knee-joint kinetic model upon which the effects of a planar exoskeleton mechanism on the internal joint forces and torque during flexion can be numerically investigated.

Now to build theorems upon which we will derive a formulaic p-value bound.