Sentence examples for suitable limits from inspiring English sources

Integral transform, mathematical operator that produces a new function f y) by integrating the product of an existing function F x) and a so-called kernel function K x, y) between suitable limits.

In the present case it was established that thick deposits of such material can be produced readily on platinum in 3.0 M H2SO4 at 60°C (typical methanol/air fuel cell conditions) by multicycling the electrode potential between suitable limits.

We first show the existence of the multivortex solutions of Maxwell Chern Simons Higgs (MCSH) model on bounded domains and prove that the solutions of the Euler Lagrange equations of the MCSH energy functional converge to those of the Abelian Higgs (AH) model and the Chern Simons Higgs (CSH) model in suitable limits, respectively.

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.

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

This analysis enables the various strands of the paper to be brought together and provides an example through which it is possible to discuss suitable limiting values for the plastic volume fraction.

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

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

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