Sentence examples for with a contraction from inspiring English sources

A mapping f : C → C is called contractive with a contraction coefficient if there exists a constant ρ ∈ ( 0, 1 ) such that ∥ f ( x ) − f ( y ) ∥ ≤ ρ ∥ x − y ∥, ∀ x, y ∈ C. (1.6).

Manufacturing, which accounts for the bulk of industrial production and contributes about 15 percent to overall gross domestic product, contracted 0.2 percent in July from the level of a year earlier, compared with a contraction of 3.1 percent a month ago.

U.S. GDP contracted 2.7% in 2009 compared with a contraction of 4.2% for the euro zone 16.

"Now we have to figure out how to deal with a contraction".

Often students who cannot afford to study abroad end up in less competitive courses, with a contraction of career possibilities.

The fund said European growth would lag behind that of the United States, with a contraction of 4.2percentthis yearandand 0.4percentt in 2010.

Her face darkens with a slight tightening around the eyes and mouth; she registers a passing idea with a contraction of her brows or a drooping of her lids.

The repeated sequence that makes such an impression is when Ms. Shumake slowly, heavily walks forward on flat feet, her head lifting and her throat visibly tense; then, with a contraction, her torso lurches right forward.

At present it is not clear whether the cycling rate of the entire cross-bridge population slows with duration of contraction or whether a subset of slowly cycling cross bridges (i.e., latch bridges) appears with a contraction time that hinders the action of the normally cycling bridges.

That in mind, IDC does expect PCs to fare better in 2014, with a contraction of 3.8 estimated.

The novelty of this paper is that it considers coupled fixed point problem in a partially ordered metric space for mixed monotone mapping F : X × X → X in conjunction with a contraction-type condition of the form d ( F ( x, y ), F ( u, v ) ) ≤ k 2 [ d ( x, u ) + d ( y, v ) ], for each  x ≥ u, y ≤ v, (1.1).