Sentence examples for direct sum from inspiring English sources

where ⊕ orth denotes the orthogonal direct sum.

where ⊥ denotes the orthogonal direct sum.

is also a direct sum of uniserial modules.

Hence, E is a direct sum of cyclic groups.

which is a direct sum of uniserial modules.

Take the same direct sum decomposition as in Theorem 3.1.

Then has the following decomposition of direct sum: (4.23).

Let,, then has the following decomposition of direct sum: (4.11).

We also show that the direct sum of two spaces with the approximate hyperplane series property has such property whenever the norm of the direct sum is absolute.

The first approach gives a direct sum estimate of the continuous quantity.

It is shown that every isometry is a direct sum of these types.