This is called a one-parameter family of solutions, with t being the arbitrary parameter.
We also show that the condition is sharp and the distance 4 result is also sharp for arbitrary parameter values.
We develop new analytical expressions for the leading order power law, as well as the first correction term, for arbitrary parameter values.
A statistical emulator is a fast proxy for a complex computer model which predicts model output at arbitrary parameter settings from a limited ensemble of training data.
All previously published packing methods with periodic boundaries were kinetics-determined; i.e., they contained a densification rate as an arbitrary parameter.
For the first time, results of instationary simulations for a fixed or growing jet in a rotational spinning process are presented for arbitrary parameter ranges.
The proposed approach is derived within the so-called Lyapunov Shaping Paradigm, where a single quadratic Lyapunov function is used for ensuring stability and desired performances in spite of arbitrary parameter time variation.
The first is to investigate the choice of the arbitrary parameter that determines the amount of splitting and its dependence on the type of physics of current interest to computational fluid dynamics.
Now this is a fairly subtle, complicated, tongue twisting issue, but the bottom line on it, the essential point, is that the parameter capital T that we use in impulse invariant design is a totally different, unrelated, and in fact, as it turns out, arbitrary parameter, which is not necessarily pegged to the sampling frequency.
It is a function of the arbitrary parameter (s_{1}).
A path is therefore sometimes defined as an equivalence class of curves under arbitrary parameter transformations.
