Sentence examples for limits hold from inspiring English sources

The refuge has 10.4 billion barrels of recoverable oil, according to the federal government, and by some estimates, Alaska's Arctic waters, now also off limits, hold 50 percent more than that.

If the above limits hold uniformly in compact subsets of (mathbb{R}), then f is said to be compact almost automorphic.

However, both limits hold trivially without this condition provided every S n is the identity mapping I. Next, we show that { y n } converges strongly to p too.

Step 3. The following limits hold: From the definition of Q n, we have, which together with the fact that xn+1∈ C n ⋂ Q n ⊂ Q n implies that (3.7).

Let v x, t) be the blow-up solution of (1.5 - 1.7 1.5 - 1.7lowhich in finite time T and v(x, t) is non-decreasing in time, then the following limits hold uniformly in all compact sublows of B. (i) If 0 ≤ q1 < 1, then lim τ → T ( T - τ ) 1 ∕ ( q 1 + s 1 - 1 ) v ( x, τ ) = C ( a ( x ) ) 1 ∕ ( 1 - q 1 ), (2.1)  .

Let w x, t) be the solution of Equation (3.1), which blows up in a finite time T* and non-decreasing in time t, then the following limits hold uniformly in all compact subsets of B. (i) If 0 ≤ α < 1, then lim t → T * w 1 - α ( x, t ) G ( t ) = ( 1 - α ) a ( x ).   (ii) If α = 1, then lim t → T * ln w ( x, t ) G ( t ) = a ( x ).  .

Even so, opponents of the limits held on to all but one vote in handing Mr. Kempthorne, a Republican, a rare defeat that lawmakers on the winning side hailed as a victory for the state.

Mark Seif: A local pro ($799,950 from winning the $1,500 No Limit Hold'em and the $1,500 Limit Hold'em Shootout).

"It's like no-limit, hold 'em, Texas tournament, World Series of Poker," O'Hara said.

He had a sensational win in the $2,000 No Limit Hold'em event, and walked away with $483,195.

Only one winner, of the $10,000 No Limit Hold'em has ever come from Europe - Ireland's Noel Furlong in 1999.