Sentence examples for a sequence of multiples from inspiring English sources

By the well-known Calderón reproducing formula (see also [28], Theorem 2.14), we know that there exists a sequence of multiples of ((varphi, q, s))-atoms ({b_{j}}_{jinmathbb{Z}_) associated with balls ({x_{j}+B_{r_{j}}}_{jinmathbb{Z}_) such that begin{aligned} f=lim_{krightarrowinfty}sum_{j=1}^{k} b_{j} =:lim_{krightarrowinfty}f_{k} quad text{in } mathcal{S}' text{ and also in } L^{2}.

A multi-stage supply chain network (MSCN) is defined as a sequence of multiple supply chain network stages.

We establish a class of sufficient conditions ensuring that a sequence of multiple integrals with respect to a free Poisson measure converges to a semicircular limit.

Under a sequence of multiple input changes, the addition of this feedforward controller to the feedback controller reduced the standard deviation of the controlled variable from its set point by 70% in comparison to the response with only feedback control.

Here, we perform a sequence of multiple loading modes on the same human brain specimen – simple shear in two orthogonal directions, compression, and tension – and characterize the loading-mode specific regional and directional behavior.

The analysis of a sequence of multiple specular glints enabled us to update the model of the arrangement and orientation of the mirrors and to apply this model to determine the inertial rotation period and spin-axis orientation for each pass of the satellite.

As time passes, the Lg wave builds up as a sequence of multiple post-critical S wave reflections in the crust, which then appear in the snapshot along with a spread of S wave energy over continental Asia for more than 400 km.

A single antigen can be thought of as a sequence of multiple overlapping epitopes.

Waitt extended Bretz's argument, arguing for a sequence of multiple Missoula Floods — 40 or more.

Third, no amplification - such as with Avidin, Streptavidin or a sequence of multiple secondary antibodies – is used, as this increases the background.

A general characteristic of recent mass spectrometers is that most are composed of a sequence of multiple mass analyzers with different strengths and properties, resulting in tandem instruments that possess capabilities unattainable by the individual components (Fig. 1A).