Sentence examples for explicit differentiation from inspiring English sources

Explicit differentiation matrices in various polynomial bases are presented in this work.

It uses a method of lines approach, avoids explicit differentiation of the adsorption isotherm, and exploits standard numerics for the simultaneous solution of the resulting ordinary differential and implicit algebraic equations.

Hydroquinoid substrates belonging to group 4 that were designated as substrates for explicit differentiation of PO activity from PPO activity were found to be oxidized by A. chroococcum as well as P. cinnabarinus crude PO.

In aggregate, this positive reinforcement-based operant paradigm to evaluate murine spatial learning detects strain differences and hippocampal dependence and permits explicit differentiation of the impact of noncognitive contributions to learning measures on a within-subject, within-session basis.

The major features distinguishing SNPdbe from other databases are: (i) the inclusion of a much wider array of organisms and data sources; and (ii) the explicit differentiation between functional/structural effects and disease associations.

(Tantam and Huband, 2009: 4) As well as the explicit differentiation, they compress the varied ' cutting, burning, or otherwise damaging their skin and its underlying tissue' into 'many of those who cut themselves' (Tantam and Huband, 2009: 4, emphases added); their chosen object of intervention – as they participate in its (re production – is narrowed further.

This numerical technique differs from previously published schemes in that the application of singularity theory is done numerically and requires no explicit differentiations of the system in question.

In our data the anterior signature was prevalent in UroA, the subtype with the most explicit signs of differentiation i.e., low pathological grade, largely maintained urothelial like histology and occasional luminal expression of UPKs [ 4].

In this paper, we have found explicit formulas for the differentiation matrix, (mathbf {D}), in various polynomial bases.

Using the chain rule of differentiation, an explicit expression of gradient in terms of system's Jacobian matrices has been derived for the first-order optimal condition of a constrained optimization problem.

The ability of the sparse regularization to remove spurious branches in the lineage tree suggests the use of this model to estimate novel cellular states in later-stage differentiation experiments, where explicit cellular states are less characterized.