Sentence examples for composition of maps from inspiring English sources

The results were four short works like movements of a sonata, starting with Ms. Bartlett's light, microtonal, spidery "Bandiera Rosa" and ending with Mr. Boyce's fuller, melodic "Composition of Maps".

Accordingly, the composition of maps (D1).

Under the 1-to-1 correspondence between matrices and linear maps, matrix multiplication corresponds to composition of maps: if a k-by-m matrix B represents another linear map g Rm → Rk, then the composition g ∘ f is represented by BA since :(g ∘ f)('x') = g(f('x')) = g(Ax) = B(Ax) = (BA)'x'x

The risk of side effects should be reduced, because the composition of MAPS vaccines is well defined and based on the use of isolated antigens.

Given a class of maps, denotes the set of maps (nonempty subsets of ) belonging to, and the set of finite compositions of maps in.

By taking the composition of these maps we conclude the map Q y Γ ( k ) → M y Γ ( k ) is surjective whence the desired exactness of both sequences.

She painted George Washington sporting her mother's 1950's hairdo, a characteristically hunched Ed Sullivan wearing her own face as a young girl, a ham-fisted composition constructed of maps of the United States drawn from memory by real Las Vegas teen-agers.

This assignment has the important property that given a pair of composable maps of simplicial complexes, (f: K to K') and (g: K' to K"), the map ((g circ f)_{p}: H_{p}(K to H_{p}(K")) is equal to the composition of the maps induced by f and g.

An allele flux of aNcrop from the crop into the cage decreases the allele density in the crop by amount aNcrop/ A and increases the density in the cage by amount aNcrop/ B. Thus, the exchange map is (11) The allele densities after one full generation are then given by the following composition of the maps described above: (12) with the census taken just prior to mating ('12 o'clock' in Fig. 3).

Lemma 15.40.4 (Composition of regular maps).

Composition of closed maps.