Sentence examples for by defining the function from inspiring English sources

Returning to our problem, by defining the function (1.5).

that can also be described using that model (by defining the functions in different ways).

Thus, in view of Lemma 1.2, the above subordination can be written as (1.1) by defining the functions ν and φ as ν ( w ) : = w and φ ( w ) : = β / w ( β ≠ 0 ).

Specifically, we consider sequences based on Walsh functions by defining the switching function y(t):= operatorname {PAL}_{k}(t/tau),quad tin{0,tau}.

By defining the autocorrelation function of as (32).

These issues can be quantified by defining the utility function of an MB decoding unit, which is defined as (5).

It can be seen that the behavior can be imitated by defining the activity function such that the activity value is proportional to the targets or preys density.

Next, we show the global asymptotical stability of infection-free equilibrium, by defining the Lyapunove function.

This can be done by defining the transition function, T(x t, x t+1 ), of the state of the network.

Here, we can design a superior estimator by defining the gain function and the parameter space appropriately.

That is attained by defining the loading functions in quantities that are thermodynamically conjugated to the damage variables.