Sentence examples for systems we extended from inspiring English sources

To provide the researchers with the possibility of modeling by means of higher order arbitrary dynamical systems we extended fractional calculus whose derivatives depend on nonsingular exponential function kernels to higher order.

Complementing prior work on FCT systems, we extended the phenomenological range accessible by DFT also to ICT, which allowed us to highlight experimentally testable differences between the two charge-transfer mechanisms.

For non-isolated systems we extend the law as dQ = dU + dW, where dQ is the differential of the amount of heat added to the system (in a reversible manner).

By combining human and murine experimental systems, we extend this concept by providing evidence for an MDSC-mediated mechanism by which fungi modulate host defense, orchestrated by Dectin-1/CARD9, ROS, caspase-8, and IL-1β.

To predict the behavior of this complex system, we extended the mathematical model by adding the following equation to eq 1: 3where w and c′mRNA indicate the concentrations of EGFP and EGFP-coding mRNA; αGFP and λGFP are synthesis and degradation rates of EGFP; and K′ is the dissociation constant between L7Ae-ECFP (or its mutants) and a second (K-turn or defective K-turn) RNA motif.

In our system, we extend the standard EDCA queuing and scheduling solution by adding extra video queues and a video scheduler [12] to achieve differentiated treatment for SVC video packets.

Due to our approach considering (1) as a four-dimensional system, we extend for any τ ∈ Z some results of [2] stated for a delay τ ≤ 0. Using cyclic permutation we show how it is possible to extend oscillation criteria to the case when one of the series in (H) is convergent.

In order to model a multicellular system, we extend the previous cell division rule (cell cycle transition from M phase to G1) to produce two distinct cells.

Basically, the tuple space operations still work as in the original system (e.g., the PVSS scheme was unchanged), but we extended the system by providing new possibilities in the fingerprint generation.

The standard LBM can only be used in Cartesian coordinate system and we extend it to be applicable to this axisymmetric thermal flow problem, avoiding the use of three-dimensional LBM on Cartesian coordinate system.

To investigate the positivity of system (2), we extend and improve the method in [8].