Sentence examples for data becomes dense from inspiring English sources

Given the samples {f yj)}j= 1M of a smooth target function f of q variables, 2π-periodic in each variable, we consider the problem of constructing a q-variate trigonometric polynomial of spherical degree O(η−1) which interpolates the given data, remains bounded in the Sobolev norm (independent of η or M) on q, and converges to the function f on the set where the data becomes dense.

However, as the data become denser and algorithms get faster and more complex, there is a danger of "runaway algorithms" that become disconnected from the reality of the phenomenon they represent, eventually leading to wrong solutions.

At longer deposition times, the surface becomes dense and rough.

The plot deepens as Assayas' story becomes dense with thick layers of intertwining relationships.

The population becomes dense once again, as Route 41 follows South Street towards its eastern terminus.

As SNP array data become more dense, with arrays of several million SNPs, IBD segment detection will improve, and it will be possible to detect IBD due to more distant ancestry.

Numerical examples are given to demonstrate that this procedure overcomes the Runge phenomenon when interpolation at equidistant nodes on [−1,1] is constructed, and also provides a respectable approximation for bivariate grid data, which does not become dense on the whole domain.

As the wireless network becomes denser, increased network traffic may degrade the overall reliability of the data acquisition system.

The loose sand bed becomes denser and denser due to soil compaction.

For a fixed area, the network becomes denser when the number of nodes becomes larger.

Note that any SSOG may become relabeled as a TSOG as soon as taxon sampling becomes denser.