Sentence examples for is sharp for all from inspiring English sources

The result is sharp for all b.

for all This inequality is sharp for any since one has the inequality in [9] for.

This estimate is sharp for an extremal function f ( z ) = z 1 − z.

While it is known that d(S,T ⩽2n−6, a well-known conjecture states that there are trees for which this bound is sharp for any value of n⩾11.

Inequality (1.4) with and inequality (1.6) with are sharp for all and, and they are attained for,,.

"With a team like that, you've got to be sharp for a full 60 minutes and we weren't".

"To be sharp for a one-and-a-half to two-hour race without making a mistake — more than physical, I believe, is a mental thing".

Evidently, inequality (23) is sharp for s = ∞.

The coeficient bounds (2.1) is sharp for the function.

The inequality is sharp for the double logarithmic growth.

The fifth bound is sharp for star or complete graph.