Sentence examples for period of a sequence from inspiring English sources

Next, recall that a positive integer is called a period of a sequence if for all.

Furthermore, if is the least among all periods of a sequence then is said to be -periodic.

It is easy to see the following relation between the least period and a period of a periodic sequence.

Here the facts in Lemma 3.2 will be used to check the spatial period of a double sequence Furthermore, when is odd, the conclusions in Lemma 3.3 will be used to check whether a double sequence is a traveling wave.

As indicated, the first exercise bout at 65 N was followed by two periods consisting of a sequence of 30 s rest and 24 s exercise.

The method constructs a periodic response assuming that each period is comprised of a sequence of distinct phases for which analytical solutions are known.

As in previous studies, 22 23 we defined a treatment period as a sequence of prescriptions for ADHD drug treatments with less than six months (183 days) between two consecutive prescriptions; we considered gap of six months or more between prescriptions to indicate a non-treatment period.

Recall also that a positive integer is a period of the sequence if for all and that is the least or prime period of if is the least among all periods of The sequence is said to be -periodic if is the least period of The sequence is said to be asymptotically periodic if there exist real numbers where is a positive integer, such that.

We define a movement trajectory of a user (u_{i}) during a period of time as a sequence of antennae that his/her mobile phone connected to: (S u_{i})={a_{s_{1}},ldots{2}},a_{s_{n}{s_{n}}}).

After 1955, the intrinsic limits of the import-substitution industrialization strategy (which began to become apparent by the end of Perón's period) resulted in a sequence of oscillating economic policies with deep social and political implications during the following 20 years.

Gene duplication is often followed by a period of accelerated sequence evolution in one or both gene copies [10] [12].