Sentence examples for double series from inspiring English sources

The most remarkable phonological feature of Insular Celtic is the development of a double series of consonants in which strongly articulated consonants are distinguished from their weak counterparts.

Then the pair ((x,s)) and the sequence (s = { s_{mn}}) are called a double series and the sequence of partial sums of a double series, respectively.

Then the pair ((x,s)) and the sequence (s = { s_{mn}}) are called a double series and a sequence of partial sums of the double series, respectively.

Rewriting the last and using a manipulation of double series, we obtain.

Equation (1.1) has been strengthened by Yang and others (including double series inequalities) [4 21].

In this paper, we consider some further extensions of absolute Cesàro summability for double series.

Namely, this potential (dimensional flux) can be defined with the double series: (71).

To study the uniform convergence of the double series, we need to construct its dominant series.

Thus, a quite sharp result of the classical Hilbert inequality for double series is obtained.

Displacement fields are expanded in a mixed double series based on harmonic functions and Chebyshev polynomials.

It is shown that a weighted Hilbert inequality for double series can be established by introducing a proper weight function.