Sentence examples for which is successively from inspiring English sources

Then S is an F-contraction and the IFS ( ω k ) k = 1 K has a unique attractor which is successively approximated in the Hausdorff-Pompeiu metric by ( S p ( B ) ) p for every B ∈ K ( X ).

Remark 4.1 If there exists a map F ∈ F such that ω k is an F-contraction for all 1 ≤ k ≤ K, then the IFS ( ω k ) k = 1 K has a unique attractor which is successively approximated by ( S p ( B ) ) p for every B ∈ K ( X ).

Niemytzki-Edelstein's theorem (see, e.g., [[10], Th. 2.2, p.34]) states that each contractive mapping on a compact metric space into itself has a unique fixed point which is successively approximated by the iterates of the respective map at every point of the space.

Fatigue fracture of materials has been modelled as a process of initiation of a macrocrack of length ai=d∗≈0.2 mm (the magnitude of d∗ is a material constant), which is successively repeated (step-by-step) during its growth, when a number of cycles to macrocrack reinitiation is ten times less than a number of cycles during a crack propagation period, i.e. Ni<<Np.

The results are shown for an initial population of 1 million, which is successively reduced by excluding those ineligible on the basis of risk, and by noncompliance.

This reacts with acetyl-CoA resulting in acetoacetate and 3-aminobutyryl-CoA, which is successively deaminated to crotonyl-CoA by 3-aminobutyryl-CoA deaminase (Kreimeyer et al. 2007).

Tests were run with the initial input depth equals 1 which was successively increased by 1.

An amorphous iridium oxide was obtained after electrodeposition, which was successively calcined at 500 °C.

The bytecode is transformed into CCS (Calculus of Communicating Systems) processes, which are successively checked for equivalence.

The final clear solution was then transferred into a ceramic crucible which was successively heated in a furnace to 650 °C.

Reconfigurability of the SRAM-based FPGA is leveraged to locate faulty logic resources which are successively excluded by group testing using alternate device configurations.