Sentence examples for numerical root from inspiring English sources

Thus, it requires a numerical root finding algorithm, adding significantly to the computational load.

Known as Stodolaʼs equation, the attendant expression is transcendental and requires iteration or numerical root finding in extracting the solution under subsonic or supersonic nozzle operation.

The traps involved in the use of numerical root finders are avoided, since only the system's transfer function matrix is needed.

More often, one must see this as a numerical root finding problem based on the linearization of the set of constraints on joint positions,, considering small displacements about the current configuration,, (1).

Steady state concentrations were calculated using Mathematica's numerical root solving functions and solving the mass balance equations at steady state (error for each equation < 10-15) for the set of metabolite concentrations.

The average size of an outbreak is given by and the probability of an epidemic is given by the following expression: where c and d are the solutions to the self-consistency equations and We use numerical root finding methods to solve for c and d.

Break points between the feedrate segments may be computed by numerical root-solving methods.

Then, the maximum EST and the corresponding optimal secrecy rate for each n can be estimated via numerical root-finding.

Although we cannot achieve the closed-form expression of the ε-outage secrecy rate due to the complexity of (13), it is possible to obtain the result by numerical root-finding.

Similarly, the maximum values of best-case-EST for the other two schemes, Tmax†(0) and Tmax‡(0), are also calculated by numerical root-finding and listed in the right-hand columns of Table 3.

Concretely, for a specified SIC order as well as a certain secrecy QoS, the distance d e is available via numerical root-finding, and it is exactly the radius of an insecure range centered on that user.