Sentence examples for for sequences of from inspiring English sources

The answer is yes for sequences of real numbers but no for sequences of rational numbers (in the sense that they may not have a rational limit).

limiting behavior for sequences of i.i.d.i.d

In 1951 Fast [1] presented the following definition of statistical convergence for sequences of real numbers.

As an application, the complete convergence theorem for sequences of negatively dependent random variables is obtained.

Similar results can be stated for sequences of operators; however the details are omitted.

It allows therefore for sequences of meshes with varying connectivities as well as varying topology.

Then we give a criterion for sequences of reproducing kernels which form an unconditional basis in their closed linear span.

We will first design an encoding for individual tuples, and then for sequences of tuples.

Furthermore, we give the concept of an α-statistically Cauchy sequence for sequences of real-valued functions and prove that it is equivalent to pointwise statistical convergence of order α for sequences of real-valued functions.

We also give the following important characterization of statistical convergence for sequences of fuzzy numbers having multiplicity greater than two.

We derive several upper and lower bounds both for finite length and for sequences of codes of growing length.