Sentence examples for function is valid from inspiring English sources

The proposed surrogate function is valid only in the specific ranges of the design variables.

The derived weight function is valid for the relative depth a/t ⩽ 0.8.

This function is valid over the whole temperature range where the short range order exists.

This expression of Green's function is valid for all classes of nondegenerate and degenerate materials.

Our analysis indicates that the general focal length function is valid in designing CBCMs with larger extended focal depth.

All the deconvolution methods can visualize single source or incoherent sources in the region where the assumption of shift invariant point spread function is valid accurately and clearly.

Elezović, Giordano and Pečarić [17] established the double inequality biggl(frac{1}{2}+sqrt{frac{1}{4}+x} biggr)^{1-x}x^{x}< Gamma (x+1)< 2^{1-x}x^{x} (1.2) for the gamma function being valid for all (xin 0, 1)), and asked for 'other bounds for the gamma function in terms of elementary functions'.

Using (5) and (7), we see that, for x, y > 0 and k > 0, the following properties of k-beta function are valid (see [2, 3] and [7]): β k ( x + k, y ) = x x + y β k ( x, y ), (15).

Comparison of the enamel phenotype of exfoliated deciduous teeth suggests that mouse models with disrupted Ambn function are valid.

Most calcium is circulated through the SR in rat and mouse (~90 98%) [ 6], thus concepts which focus mainly on SR function are valid.

Here we report for the first time that AMBN mutations cause non-syndromic human AI and confirm that mouse models with disrupted Ambn function are valid.