Sentence examples for remains well defined from inspiring English sources

Note that the RHS in (3.7) remains well defined for 0 < σ < 1 and 0 < ν < 1.

which shows that the IMT (3.9) is absolutely convergent when 0 < x < B. However, (3.9) remains well defined and uniformly convergent when 0 < x0 ≤ x ≤ X < ∞.

Note that the simple pole of the zeta function at s = 1 is cancelled by the (simple) zero of the factor 1 - 21-s such that the product Θ0 s, 0) = (1 - 21-s )ζ(s) remains well defined in the sense of the Riemann removable singularity theorem.

When constructing concrete implementations of this algorithm, the difficulty will be to ensure that the constructed sequence { n k } is not "too sparse" in the sense that the generalized Mann process g M ( T, { t k }, { n k } ) remains well defined.

In Singapore, SARS is an imported infection in which the epidemiology remains well defined with clear lines of secondary spread in the hospitals and community (3 ).

However, our simulations indicate that as long as the heteroplasmy variance associated with heteroplasmic clusters remains well defined, it matches that resulting from binomial inheritance.

If it does, what explains that, in the P-measurement situation, Q remains well-defined, but f(Q) loses this status?

As shown in Figure 6, the top surface of the Si nanostructure remains well-defined and flat after MCEE and NIL mask removal.

The image of France, in this novel, remains less well defined.

However, the function of Bergmann glia in CGNP proliferation remains not well defined.

The antigen-specificity of Treg involved in the prevention of chronic inflammatory diseases remains less well defined, but antigens from commensals as well as from infectious agents are most certainly recognized.