Sentence examples for be the direct sum from inspiring English sources

Let A be the direct sum of all indecomposable Λ -modules, one from each isomorphism class.

The full space is shown to be the direct sum of a number of orthogonal eigenspaces, one for each simple or multiple eigenvalue, whose dimension equals the multiplicity.

Then (langle f,f rangle _Y) will be the direct sum of an ((N-1 times N-1 timestrix and (langle f_N,f_N rangle _Y=matrix

Thus (langle e,e rangle _{Y^*}) with be the direct sum of an ((N-1 times N-1 timestrix and (langle e_N,e_N rangle _{Y^*}=1/matrix

Let (M lambda)) be the space spanned by all eigenfunctions corresponding to λ and (M_{h}(lambda)) be the direct sum of eigenspaces corresponding to all eigenvalues of (2.3) that converge to λ.

(Determiner formula of Auslander Reiten Smalø) Let f be a morphism ending in Y. Let C ( f ) be the direct sum of the indecomposable modules of the form τ - K, where K is an indecomposable direct summand of the intrinsic kernel of f and of the indecomposable projective modules which almost factor through f, one from each isomorphism class.

The global solar radiation (which is the direct sum of the radiations, having crossed the atmosphere, and diffuses, coming from all the directions of the terrestrial vault) is an essential parameter of sizing for various types of projects such as solar energy systems and irrigation.

The charging/discharging behavior of multiple EVs is the direct sum of the individual EVs.

A ⊕ B ≜ diag ( A, B ) is the direct sum of matrices [30].

This vector space is the direct sum of the source signal subspace and the noise subspace.

Finally, (A') splits because (Lambda ) is the direct sum of the sublattices (Lambda _i).