Sentence examples for by the initial values from inspiring English sources

Most important, we prove that the numerical solutions are bounded by the initial values with a constant coefficient, i.e., the constant coefficient is independent of the time.

The orbital lifetime of objects in GTO can be greatly influenced by the initial values of perigee, inclination, and right ascension of the orbital plane, leading to orbital lifetimes of from less than one month to more than 100 years.

In addition, an oscillation effect caused by the initial values was weakened by using improved estimates of the initial values.

Once the convergence in the fit procedure is achieved, the values of the retrieved concentration resulted not seriously biased neither by the initial values of the parameter, nor by the damping factors.

Although the optimization results are less affected by the initial values in the GA, the closer to the optimal values the initial values are, the fewer iterations the optimization procedure costs.

(2.3) Moreover, the same proof as above will show that if (x preceq y), then (u_{n}(t) preceq U_{n}(t)), for any (n, t geq0), where (u_{n}) and (U_{n}) are the functions obtained by the initial values x and y respectively by (2.1).

The Fibonacci sequence has been generalized in many ways, for example, by changing the initial values, by changing the recurrence relation, and so on.

The results of emulation show that by using the initial values yielded by the method of patched conical curves, only 6 9 orbit integral iterations are needed to get a standard trajectory.

Additionally, the problem of choosing initial values to kick start the optimisation process can be solved using the method described in Su (2007b, 2007a) or by using the initial values obtained by matching PWMs as detailed below.

By utilizing the initial values, the condition for SOF control problems can be solved by an improved path-following method.

The final inversion results were proved to be stable by changing the initial values.