Sentence examples for suitable limit from inspiring English sources

Under suitable limit conditions, some strong convergence theorems are proved.

Under suitable limit conditions, some strong convergence theorems for this iteration are proved.

Under suitable limit conditions, some strong convergence theorems for modifying Halpern's iterations are proved.

Under suitable limit conditions, strong convergence theorems for the proposed modified Halpern's iterations are proved.

Deriving a suitable limit for ( M t n ) t ≥ 0 is what we set to do next.

Remark 3.1 In the case of multiple roots, we can also have the Green function by taking a suitable limit in (3.3).

The answer, again, is to set up a suitable limiting process that approximates the desired area with simpler regions whose areas can be calculated.

One can go on to define more general classes of random variables by taking suitable limits (for details, see [Younce, 1987]).

The spectral theorem tells us that every self-adjoint operator on H can be obtained by taking suitable limits of operators of this form.

Based on these results and comparison values, most of the groundwater and spring samples were found to be within the suitable limits.

We may further assume, without loss of generality, − ∞ < a < b < ∞, since a uniform estimate independent of a and b will allow us a suitable limiting argument.