Sentence examples for mapping has proven from inspiring English sources
Because of Minty's classical correspondence between firmly nonexpansive mappings and maximally monotone operators, the notion of a firmly nonexpansive mapping has proven to be of basic importance in fixed point theory, monotone operator theory, and convex optimization.
STEM mass mapping has proven valuable for characterizing large protein assemblies such as filamentous proteins with a well-defined mass per length.
The SAR rupture mapping has proven complementary to field studies extending the zone of co-seismic displacements and identifying other possible co-seismic rupture strands.
Genetic mapping has proven to be powerful for studying the genetic architecture of complex traits by characterizing a network of the underlying interacting quantitative trait loci (QTLs).
The microsatellite marker-based trait association mapping has proven to be an effective approach for dissecting the complex quantitative traits in many plant species, including legumes.
QTL mapping has proven highly informative but similarly requires large collections of samples, for diverse cell types, in disease-relevant conditions.
Linkage mapping has proved its usefulness in detecting important qualitative and quantitative loci in crops (Doebley et al. 1997; Frary et al. 2000).
Radiation hybrid (RH) mapping has proved to be a powerful tool for establishing marker order across a number of species [ 1- 3].
Because the pursuit of human anxiety disorder susceptibility genes by conventional linkage and association mapping has proved to be demanding (reviewed in 9), there is a need to consider the aid of alternative approaches, such as ones relying on animal models for identification of genes and loci with relevance for complex traits (reviewed in 9,10).
Because of the large number of chromosomes (often >100) and the nature of autopolyploids, both high density genetic mapping and physical mapping have proven to be challenging tasks in sugarcane.
The definition of "urban" on a thematic map has proven to be problematic since urban areas are heterogeneous in terms of land use and land cover.
