Sentence examples for mapping and thus from inspiring English sources

end{aligned} Hence, by (4.4), (mathcal{T}) is a contraction mapping, and thus the condition (i) of Lemma 4.1 is satisfied.

But the vector-valued mapping (f_{i}) is not a properly quasi-convex mapping, and thus this example does not satisfy all the conditions of Theorem 3.1 in [1].

In view of the condition (iii), we see π is a contraction mapping, and thus there exists a unique fixed point x ¯ of π in ℋ, which means x ¯ T is the solution to Eqs. (1 - 3) and meets e α t ∥ x ¯ T ∥ → 0 as t → ∞.

This is a variation of positional cloning (also known as gene mapping) and thus a form of classical hypothesis-testing research.

Runtimes are typically on the order of minutes per sample (including read mapping) and thus permit an efficient integration into existing NGS analysis pipelines.

212 genes were assigned to their bovine map positions through comparative mapping, and thus form a list of candidate genes for previously identified QTLs for milk production traits.

It is widely accepted that James put fat on the map, and thus it was appropriate that the IOTF should draft the WHO report of the late 90s that would define global obesity.

When it's required to make a delivery, it uses a GPS system to pinpoint itself on that map and thus avoid obstacles or driving off the edge of a kerb into oncoming traffic.

It also connects three other large protected areas (see map), and thus forms an important part of a regionally important green corridor.

Increasing the scale of filtering may over-smooth the maps, and thus, such classes may be misclassified.

The main scope of this study is to synthesize natural hazard maps in a single multi-hazard map and thus to identify suitable areas for the urban development.