Sentence examples for period time scale from inspiring English sources

While both methods accurately and precisely estimated loads at the model's calibration period time scale, precisions were progressively worse at shorter reporting periods, from annually to monthly.

This is a classical periodic time scale with period (P=2(a+b notin mathbb{P}_{a,b}) and its period set (Pi ={2n(a+b), nin mathbb{Z}}) satisfying (mathbb{P}_{a,b}cap Pi =emptyset ).

Let be a periodic time scale with period We say that the function is periodic with period if there exists a natural number such that for all and is the smallest number such that If we say that is periodic with period if is the smallest positive number such that for all.

Let be a periodic time scale with period.

If is a periodic time scale with period, then.

Let T be a periodic time scale with period such that, and.

Let (mathbb{T}neqmathbb{R}) be a periodic time scale with period (p>0).

Let be a periodic time scale with period such that, for, where for some,, and assume that each is dense in for each.

If there exists a positive number ω ∈ ℝ such that t + n ω ∈ T for all t ∈ T and n∈ ℤ, then we call T a periodic time scale with period ω.

The annual mean smolt release number over the study period within each river was in the tens of thousands, reaching a hundred thousand for the Chilliwack River, and total releases over the study period's time scale of several decades range from many hundreds of thousands to nearly 3 million (Table 1).

Furthermore, if P : = inf { p ∈ ( t 0, ∞ ) T ∗ : ( p, t ) ∈ δ ±, ∀ t ∈ T ∗ } ≠ t 0, then P is called the period of the time scale T. Definition 2.2 (Periodic function in shifts δ ± [11]).