Sentence examples for contraction there from inspiring English sources

On Friday, new data indicated slippage in business confidence in Germany, presaging a slowdown or contraction there, if the euro crisis is not resolved soon.

Since T is a monotone increasing contraction, there exists (alpha< 1) such that rhobigl(T f -T g bigr) leqalpha rho(f-g), quadmbox{for all } f,g in C, f leq g rhombox{-a.e}.

By the definition of Meir-Keeler contraction, there exists (delta>0) with (delta+epsilon

During the first period of muscle contraction there was a 10 fold increase in muscle lactate efflux (Fig 3).

"Without contraction there is no creation, as everything is Godhead," Scholem writes.

Because of population increases, with the exception of periods of deep contraction, there is almost always a record number of people in work.

Since A is convex-power 1-set-contraction, there exist x0 ∈ D and a positive integer n0, such that for any bounded subset S ⊂ D, α A n 0, x 0 S ≤ α S. ∀ x ∈ D, let A n x = 1 - 1 n A x + 1 n x 0 n = 2, 3, …, then A n : D → D. ∀y ∈ D - x0 = {x - x0|x ∈ D}, let By = A y + x0 -x0.

Eastern European nations like Latvia, Ukraine and Hungary will plod behind other emerging markets in Asia and Latin America, after bursting property bubbles and plummeting currencies led to sharper economic contractions there.

Since A is pseudo-contraction, there exists r ≥ 0 such that 〈 A x, x 〉 ≤ r ∥ x ∥ 2 for all  x ∈ D ( A ). (3.8).

Since T is a monotone increasing G-contraction, there exists (g_{n}in T g)) such that rho(f_{n+1},g_{n}) leqalpharho(f_{n},g) for every (ngeq1).

Proof Since T is an ω-contraction, there exists a constant k ∈ [ 0, 1 ) such that for any x, y ∈ M, we have H ω ( T ( x ), T ( y ) ) ≤ k ω 1 ( x, y ).