Sentence examples for be any nonnegative integer from inspiring English sources

Let r be any nonnegative integer.

Let r be any nonnegative integer, and let (s_{k}in c).

Let (xin X) be an arbitrary point and (ninBbb{N}cup {0}) be any nonnegative integers.

As is well known, its energy $E$ can take on only discrete values $n+1/2 \hbar\omega$$, where $n=0 , 1\ldots$ is any nonnegative integer and $\omega$ is its angular frequency,\ldots \eqref{eqn1}.

The authors assume that (pm k i) and (pm l i) are simple eigenvalues of the matrix (L_{0}=frac{partial f(0,0)}{partial u}) ((0< k< l) are coprime integers) and (pm m i) is not an eigenvalue of (L_{0}) where (mneq k,l) is any nonnegative integer.

(10) where n and k are any nonnegative integers.

Let s be any fixed nonnegative integer and v be any fixed vector with |v| < δ.

Let be a nonnegative integer.

Let be a nonnegative integer and.

Let r be a nonnegative integer.

Let h be a nonnegative integer.