Sentence examples for has multiplicity from inspiring English sources

Moreover, every zero of ω has multiplicity one.

For simplicity, we assume that each pole has multiplicity one.

However, the first eigenvalue (lambda _1) of (L) has multiplicity (1).

Exactly one of the roots y ¯ 1 or y ¯ 3 of (7) has multiplicity two.

For both spectral functions and each n, the optimal attaining region has multiplicity two nth eigenvalue.

In particular, we show that in this case the spectrum of H is absolutely continuous, has multiplicity 1 and covers the whole real line.

That's because pop culture consumption has increased in speed and also in density; it now has multiplicities.

We observe that the multplicity-comultiplicity distribution of Escherichia coli has multiplicities (x-axis) between about 0 and about 5,400, whereas Drosophila melanogaster has multiplicities between about 5,000 and about 330,000.

Obviously, all poles of H are multiple and all zeros of H have multiplicity at least k + 1.

Theorem D. Let be a family of meromorphic functions in a domain ; all of whose zeros have multiplicity at least, and all of whose poles are multiple.

Clearly, all poles of g n ( z ) are multiple and all zeros of g n ( z ) have multiplicity at least k + 1 in Δ.