Sentence examples for case does not hold from inspiring English sources

Since {x α }α∈Ω is a path in G, if the last case does not hold, then for each α∈Ω there exists n≥1 such that x α ∈ [ x α n ] G Open image in new window.

In fact, when (p=n/alpha) (i.e. (lambda=0)), Ding and Lu [9] found (M_{Omega,alpha}) is bounded from (L^{p_{1}}timescdotstimes L^{p_{m}}) to (L^{infty}), but this corresponding result for (T_{Omega,alpha}) in this case does not hold.

If the case doesn't hold up, or proves to be a paper infraction with little consequence, it could damage other efforts to stem illegal trade in forest products.

But the case doesn't hold true for the XP40iw.

So the performance found for the FLX91 case did not hold for the Baltic Sea cases.

For instance, the exponential map on ℬ denoted exp and defined as exp a : = ∑ j = 0 ∞ 1 j ! a j for each  a ∈ B. If ℬ is not commutative, then many of the familiar properties of the exponential function from the scalar case do not hold.

While the conclusions for the noise-free case did not hold for the bottom layer OPs of the noise-added case, they were true for the top-layer OPs with the µs1′ prediction having the smallest error (4%) when D was 0.44 mm.

(2) We may not use Theorems 3.1 and 3.2 for (mathcal{J}_{{2};{1}}=mathcal{P}_{{2};{1}}) in the left and right cases since condition (A1) of Definition  3.1 in these cases does not hold.

This is due to the following fact that we lose the orthogonality of search directions that exist in LO, SOCO, SDO, and SCO cases does not hold for CQSCO.

Surette noted how some people will leave suggestions on social media posts that appear to be connected with a crime: "Turn yourself in, bro!" or "Head to the border!" Indeed, on some of the Instagram posts Hasan appeared to have authored while he was on the run in the US, people who'd been following the case didn't hold back in the comments.

Most of the excluded cases did not hold referential integrity, namely because of the use of incorrect ICD-9-CM (International Classification of Diseases, 9th Edition, Clinical Modification) diagnosis codes.