Sentence examples for a continuous contraction from inspiring English sources

Theorem 2.1 Let ( X, d ) be a complete dq-metric space, T : X → X be a continuous contraction, then T has a unique fixed point in X. Aage and Salunke [8] established the following results for single and a pair of continuous mappings in dislocated quasi metric spaces.

In contrast, in C128S animals, blue light induced a continuous contraction of ∼10% that was completely abolished by the yellow light pulse (Fig. 1e), thus allowing full temporal control over ChR2(C128S) induced depolarization.

LetTbe an absolutely continuous contraction acting on a Hilbert space H. Forx, y∈H, definexy∈L1(T) by its Fourier coefficients:xy∧(n)=(T*nx, y) ifn<0.

Tonic smooth muscle contraction occurs as a sustained continuous contraction.

In fact, if ν is an invariant measure for the semigroup (1.5), then the semigroup (1.5) can be extended to a strongly continuous contraction semigroup in L p ( H, ν ), p ≥ 1. Kolmogorov equations for measures in infinite dimensional space have been the object of many authors (see, e.g., [12 14] and references therein).

The polymer dimensions show a smooth and continuous contraction below the reference temperature (18 °C).

A smooth and continuous contraction was also observed for the mixture of 2- and 4- isomers, PCS (Mw: 2.32×106 g mol−1, Mw/Mn: 1.06).

Rigidity is stiffness and resistance to limb movement caused by increased muscle tone, an excessive and continuous contraction of muscles.

Let ({X: T_{n}, n =1, 2, 3, ldots, N}) be a K-iterated function system with K-contractivity factor α. Then the transformation (W: H X) to H X)) defined by (W(B =bigcup_{n=1}^{N} T_{n}(B)) for all (B in H X)) is a continuous Kannan contraction on the complete metric space ((H X), h(d))) with contractivity factor s.

T is a continuous proximal contraction of the first kind.

Let (T Alongrightarrow B) satisfy the following conditions: (a) T is a continuous proximal contraction of the second kind.