Sentence examples for formulas are required from inspiring English sources

Exact(3)

Extremely severe restrictions on both the operators and the formulas are required to guarantee polynomial time or even NP-completeness.

This implies that, for n>5, no p-values need to be calculated (and hence no formulas are required for En, n>5), because even with an extremely liberal definition of the CIS (d5 = 500) and a fairly high number of IS (nis = 1000) a single CIS of order 5 will be statistically significant (p = 0.027).

Nevertheless these formulas are required to start the particle orbit.

Similar(57)

Simple mathematical formulas were required to calculate the magnification factor of the telescope, the exposure time of the camera, and the resulting signal-to-noise ratio of the final stacked image.

Therefore, a correction of the formula is required for the prototype dimension.

I think such a specific direction is inconsistent with its admission that no ritualistic formula is required.

To correct for individuals in a population who fail to progress out of the stage marked as 'recent' by the assay [13], [15], the application of statistical adjustments in the incidence formula is required [14], [16], [17], [18].

However, a randomized, controlled study in children receiving a probiotic-containing formula is required before this conclusion can be confirmed.

Each of the four main herbs comprising the PHY906 formula was required to maximize both its cytoprotective and antitumor effects.

However, a randomized controlled study showing faster tolerance development in children receiving a probiotic-containing formula is required before this conclusion can be confirmed.

A randomized controlled study showing faster tolerance development in children receiving a probiotic-containing formula is required before this conclusion can be confirmed.

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