Sentence examples for term of the sequence from inspiring English sources

In difference equation, each further term of the sequence or array is defined as a function of the preceding terms.

The fuzzy real-valued sequence denotes the value of the function at and is called the th term of the sequence.

In mathematics, a difference equation produces a sequence of numbers where each term of the sequence is defined as a function of the preceding terms.

3. Incidentally, the most standard definition of the solution x† from equation (4) uses a different vocabulary altogether: the nth term of the sequence corresponding to x† is 0 or 1 depending on whether there are an even or odd number of 1s in the binary representation of n+1. 4.

Definition 2.4 A strictly increasing sequence { n k } ⊂ N is called quasi-periodic if the sequence { n k + 1 − n k } is bounded, or equivalently if there exists a number p ∈ N such that any block of p consecutive natural numbers must contain a term of the sequence { n k }.

end{aligned} (4.1) Now consider the (k_{m} th term of the sequence begin{aligned} &bigl( bigl(f(n) bigr)^{-1} f bigl( biglvert bigl{ k leq n : biglvert d x,E_{k}) - d x,F) bigrvert geq varepsilon bigr} bigrvert bigr) bigr).

(7) By virtue of (4), the positivity of terms of the sequence ((p_{n})) implies the positivity of terms of the sequence ((b_{n})).

The terms of the sequence are called the parts of the partition.

Therefore, we suppose that no two consecutive terms of the sequence ({x_{n}}) are equal.

For every define as the closure of the set of terms of the sequence If is compact.

Thus, the difference of two consecutive terms of the sequence goes to zero, and so the sequence converges strongly to.