Sentence examples for for the time scale from inspiring English sources

Hence, we can obtain a matched space ((mathbb{T},Pi,F,delta)) for the time scale (mathbb{T}).

For the time scale, the dimension is mainly about time discretization, which reduces the similarity between different time periods.

For the time scale (T_{1}), in which consumption frequency varies over time the 'accumulation' described above can be seen even more clearly.

We recall that the results in the previous sections are valid for time scales whose backward jump operator has the form, in particular for the time scale.

Note that Definition 2.11 reflects the algebraic structure of matched spaces, i.e, a matched space for the time scale is the group ((mathbb{T},Pi,F,delta)).

In the above, (rho(s)=s-1) is the backward jumping operator used in ∇-analysis for the time scale (mathbb{Z}).

Throughout this paper we use for the time-scale derivatives and integrals the symbol which is inherited from the time scale.

The randomization rates are important for setting the time scale of the differentiation process.

Second, that there is at least one time-dependent process for which the time scale is known.

We can calculate the delta shape operator for the time scales (mathbb{R} timesmathbb{R}) and (mathbb{Z} timesmathbb{Z}).

They develop a matrix representation for the infinitesimal generator which on time scaling and matrix exponentiation delivers transition probability elements for the time scales involved.