Sentence examples for its limit by from inspiring English sources

From (10), it follows that the number sequence { ϱ ( θ, F i ) } i = 1 ∞ is fundamental, so it is convergent; denote its limit by r 0 ; obviously, r 0 ⩾ 0. Take an arbitrary radius r > r 0 and consider the sequence { S r F i } i = 1 ∞ ⊂ clos ( X ).

With a decision not to call in the army, a step the government considered and dismissed on Tuesday, the police force appeared to be stretched near its limit by what amounted to a risky shell game, with forces outside London sending their crack antiriot units into the capital as reinforcements.

Denote its limit by P x).

We denote its limit by (u^{alpha }=( mathfrak{X}^{alpha },mathfrak{Y}^{alpha },mathfrak{Z}^{alpha })).

The NHS will be "pushed to its limit" by the end of 2016 by rising numbers of cancer patients, a charity says.

They assumed that (q u)) converges as (u rightarrow0^) and denote its limit by begin{aligned} q_{0}=lim_{urightarrow0^q u) inoverline{mathbb {R}}.

But the technique had been pushed to its limits by scientists – until the arrival of the GM mutant.

In his Hollywood office I tested its limits by asking this question: There are math nerds and computer nerds, but can you be a football nerd?

These attempts included arguing that Congress overstepped its limits by passing the Hate Crimes Prevention Act in 2009.

But that doesn't mean that our Constitution isn't about to be tested to its limits by the tectonic forces this decision has unleashed.

Knowledge and its Limits.By Timothy WilliamsonOxford University Press; 352 pages; $35 and £25NEWNESS in philosophy is rare.