Sentence examples for m is non from inspiring English sources

We assume that the probability of each non-empty word of Σ m is non null.

It is clear that M and K are bounded self-adjoint operators and that M is non-negative.

It uses complex fields (which require twice the memory and computation) if the k-point is non-zero or if m is non-zero.

In 1947, Lehmer conjectured that the Ramanujan τ-function τ(m) is non-vanishing for all positive integers m, where τ(m) are the Fourier coefficients of the cusp form Δ of weight 12.

If (M) is non-singular (R -module, such that (M_R -moduleunisuchal dimension, that (M_R) has couniserial dimension.

When M is non-compact the situation becomes more complicated as both infinities play a role: see [73, Figure 2].

Mapping to the NMDFB implementation, this means only a certain group of entries of BE filter's IPE matrix K M × M is non-zero.

Such a lemma also provides sufficient conditions to show that (lambda_{1,M}), the first eigenvalue on M, is non-negative.

Suppose now that we consider a scattering problem, in which case M is non-compact, say, equal to ( {mathbb {R}}^n ) outside a compact set.

If (M) is non-zero and (M) does not belong to any (zeta _alpha ), then we say that "u.s.dim((M)) is not defined," or that "(M) has no uniserial dimension".

Note that the representation M−N of A is called a convergent splitting when M is non-singular and ρ(M−1 N)<1, where ρ measures the spectral radius of the matrix λ, defined as ρ = max , (9).