Sentence examples for pooling spaces from inspiring English sources

In this paper, we clarify a few things about the definition of pooling spaces.

We show how to construct a new pooling space from one or two given pooling spaces.

Huang, C. Weng, Pooling spaces and non-adaptive pooling designs, Discrete Mathematics 282 (2004) 163 169] for a systematic way of constructing pooling designs; note that geometric lattices are among pooling spaces.

In Huang and Weng (2004), Huang and Weng introduced pooling spaces, and constructed pooling designs from a pooling space.

Ngo, D. Du, A survey on combinatorial group testing algorithms with applications to DNA library screening, DIMACS Series in Discrete Mathematics and Theoretical Computer Science 55 (2000) 171 182], the notion of pooling spaces was introduced [T.

A pooling space is a ranked poset P such that the subposet w+ induced by the elements above w is atomic for each element w of P. Pooling spaces were introduced in [T. Huang, C. Weng, Pooling spaces and non-adaptive pooling designs, Discrete Math. 282 (2004) 163 169] for the purpose of giving a uniform way to construct pooling designs, which have applications to the screening of DNA sequences.

We show how to construct non-adaptive pooling designs from a pooling space.

A pooling space is defined to be a ranked partially ordered set with atomic intervals.

Then we find that a geometric lattice, a well-studied structure in literature, is also a pooling space.

In this paper, we introduce the concept of pooling semilattices and prove that a pooling semilattice is a pooling space, then show how to construct pooling designs from a pooling semilattice.

Secondly, statistical properties in terms of metabolic pools spaces can be largely be recovered (72% 100%) using five principal components indicating the reduced global variability nature for all the i-th metabolic pool libraries, see Figure 6.