Sentence examples for not approximate from inspiring English sources

Let denote a (finite-dimensional) complement of in Since is dense in and is closed, we may assume that If not, approximate a basis of by elements of If the approximation is close enough, the approximate basis is linearly independent and its span (of dimension ) intersects only at (by the closedness of ).

For the connectivity-distance-only model we actually perform inference over both p max and p min. Evaluating whether or not approximate inference methods, such as MCMC, produce samples which are valid approximations of the posterior distribution is an ongoing area of research in the computational statistics community.

The normal approximation using observed fold change and (1 /c+1 /d -variance)-variance (dashed line) follows the normal approximation of the simulated data (solid line), but both do not approximate well the multimodal histogram.

"I felt exposed," said Cink, whose exposure does not approximate Woods's.

From this point of view, propaganda should not approximate to the truth as closely as possible: on the contrary it should do as much violence to it as possible.

Vogel took a similar, but less heralded, approach, playing Hibbert fewer than 30 minutes a game in the regular season even though Hibbert's replacement could not approximate his impact.

Unlike the Wiimote and SIXAXIS, Fusion does not approximate motion.

But this ODE does not approximate the LMS-DFE with a hard decoder.

The blind application of LA may therefore not approximate the SPF.

Then the sequence { D n, q α β ( f ; x ) } does not approximate f ( x ) unless f is linear.

The curvature of the fluid/fluid interface is not approximated according to the lubrication approximation in order to create a well-defined set of equations in the sense of Hadamard.