Sentence examples for by the iterative processes from inspiring English sources

Suppose that are defined by the iterative processes (1.3) and (1.4), respectively.

Suppose that are defined by the iterative processes (1.5) and (1.6), respectively, and are real sequences in such that.

Let t ∈ (0, 1] be a fixed constant. For any x0, y0 ∈ K, compute the sequences {x n }, {y n } ⊂ K,, and generated by the iterative processes: (2.13).

If g = I (: the identity mapping), then from Algorithm 1, we have the following: Algorithm 2. Let {ε n } be a sequence of nonnegative real numbers with ε n → 0. Let t ∈ (0, 1] be a fixed constant. For any x0, y0 ∈ H, compute the sequences {x n }, {y n } ⊂ H, and generated by the iterative processes: (2.12).

If A, B : H → H are single-valued mappings, then, from Algorithm 1, we have the following: Algorithm 4. Let t ∈ (0, 1] be a fixed constant. For any x0, y0 ∈ H, compute the sequences {x n }, {y n } ⊂ H by the iterative processes: (2.14).

Let {ε n } be a sequence of nonnegative real numbers with ε n → 0 as n → ∞ and t ∈ (0, 1] be a fixed constant. For any x0, y0 ∈ H, compute the sequences {x n }, {y n } ⊂ H, and generated by the iterative processes: (2.1).

And it is also subject to thermal fatigue by the iterative process of absorption and desorption.

Let { x n } be defined by the iterative process (1.4).

Therefore, by the iterative process and the comparison theorem, Problem (1.1) admits a global positive solution.

The waveform fitting was improved by the iterative process in all period ranges (Fig. 6b e).

Then the sequence defined by the iterative process (2.1) converges strongly to.