Sentence examples similar to a sequence of difference from inspiring English sources

Nonlinear ordinary differential equations and arbitrary difference methods are considered which satisfy conditions for the convergence of a sequence of true difference solutions.

Let be a sequence of martingale differences, and let be a sequence of positive real numbers with.

When the distance is computed for a series of adjacent video frames, the result will be a sequence of frame differences, FD-sequence for short.

In particular, it was proved that any solution for autonomous differential inclusions can be approximated by a sequence of solutions for difference inclusions (the multifunction G is assumed to be bounded and Lipschitz).

We introduce new classes of generalized Orlicz-Garling sequences and Orlicz-Lorentz sequences by using a sequence of Orlicz functions and difference operator.

We note that if { X k, F k : n ⪯ k ⪯ N } is strong adapted, when d = 1 then { X k − E ( X k | F k − 1 ∗ ), F k : n ≤ k ≤ N } is a sequences of martingale differences, but when d > 1 then { X k − E ( X k | F k − 1 ∗ ), F k : n ⪯ k ⪯ N } is not necessarily a field of martingale differences, because X k − E ( X k | F k − 1 ∗ ) may not be F k -measurable (see [9], Example 3.1).

Observe that ( E Y 1 2 ) − 1 { ( Y t − ϕ 0 Y t − 1 ) Y t − 1, t ≥ 1 } is a sequence of mean zero stationary martingale difference.

The number of differences when a sequence of words is treated as a single name in one alignment and a modifier and a name in another alignment could maybe have been fewer with a slightly modified study.

The sequence of difference indicator matrices {Δ t′} is stationary Markov and ergodic.

Finally, the stationarity of the channel, see Section 2.3, implies that the sequence of difference matrices {Δ t′} is stationary.

Suppose c j (i) ∈ R +, i ∈ Z, j ∈ N[0,h], and b > 0. Let u(i) be a sequence of real numbers satisfying the following difference inequality: (2) (a) Then (3)  .