Sentence examples for given the sharp from inspiring English sources

The ratio is sure to have worsened this year, given the sharp declines in German equities.

It is not surprising that individuals are sitting on the sidelines, given the sharp moves in the market.

Given the sharp rightward turn of Congress in the elections, how can the Justice Department now make that argument with a straight face?

Given the sharp line that the culture drew between children and adults, worry about what would happen when children crossed over it started something of a panic.

Given the sharp slide of the rupee since July, finance minister Pranab Mukherjee has said that intervention in the currency market "would be considered whenever necessary" (Mint).

Given the sharp political divides, the introduction of militias could increase tensions and the possibility of intra-Kurdish fighting down the line.

The appointment startled staff members at The Times and Politico, given the sharp-elbowed competition between the news organizations.

Now, we can give the sharp estimate for the Sobolev norms of the Jacobi-Sobolev polynomials.

Lu et al. [10] gave the sharp lower bound on the Randić index of cacti with t number of cycles.

We also obtain a variant of the weighted Strichartz estimates and give the sharp estimate of the lifespan for the semilinear wave equation with subcritical nonlinearity.

At first, we prove Theorem 1.1, which gives the sharp energy criteria of blow-up and global existence for equation (1.1) in the (H^{1} -energy-critical case.