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In the theory of Lie groups, the exponential map is a map from the Lie algebra of a Lie group to the group, which allows one to recapture the local group structure from the Lie algebra. The existence of the exponential map is one of the primary reasons that Lie algebras are a useful tool for studying Lie groups.
A bilinear map is a function: such that for all , the map (,) is a linear map from to , and for all , the map (,) is a linear map from to . In other words, when we hold the first entry of the bilinear map fixed while letting the second entry vary, the result is a linear operator, and similarly for when we hold the second entry fixed.
The first cartographic appearance of Apalchen is on Diego Gutiérrez's 1562 map; the first use for the mountain range is the 1565 map by Jacques le Moyne de Morgues. [16] Le Moyne was also the first European to apply "Apalachen" specifically to a mountain range as opposed to a village, native tribe, or a southeastern region of North America. [17]
Binary Alignment Map (BAM) is the comprehensive raw data of genome sequencing; [1] it consists of the lossless, compressed binary representation of the Sequence Alignment Map-files. [2] [3] BAM is the compressed binary representation of SAM (Sequence Alignment Map), a compact and index-able representation of nucleotide sequence alignments. [4]
U.S. Route 441 (US 441) in the U.S. state of Georgia is a 354.2-mile-long (570.0 km) north–south United States Highway through the east-central portion of the state. It travels from the Florida state line near the Fargo city area to the North Carolina state line, in the northern part of Dillard.
A sitemap is a list of pages of a web site within a domain.. There are three primary kinds of sitemap: Sitemaps used during the planning of a website by its designers; Human-visible listings, typically hierarchical, of the pages on a site
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