Sentence examples for on the control sequence from inspiring English sources

Strong convergence theorems are established under condition (C1) only imposed on the control sequence.

Strong convergence theorems are established under the condition (C1) only imposed on the control sequence.

Based on these conditions, with a ≥ 8 read depth, recognition of any site on the control sequence as a heterozygous site required a minimum of three reads bearing the non-reference allele.

The convergence speed of iteration methods depends on the choice of the control sequences.

As can be seen, the convergence of the sequence ({ x_{n} } ) generated by (3.1) depends on the choice of the control sequences and mappings.

The following examples explain why we need to impose some conditions on the control sequences in previous theorems.

We analyze the convergence of the algorithm and establish a weak convergence theorem for solutions under mild restrictions imposed on the control sequences.

In [6], Shioji and Takahashi extended Wittmann's results to the setting of Banach spaces under the assumptions (C1), (C2), and (C4) imposed on the control sequences.

The main contribution of the paper is establish a strong convergence theorem for viscosity zero points under mild restrictions imposed on the control sequences.

end{aligned} By using the conditions imposed on the control sequences, we find from (3.7) that lim_{nrightarrowinfty}|z_{n}-y_{n}|=0.

end{aligned} By using the conditions imposed on the control sequences, we find from (3.7) that (lim_{nrightarrowinfty}|Ax_{n}-Ap|=0).