Sentence examples for maximal possible dimension from inspiring English sources

First of all, we state a result for the maximal possible dimension (N^2+2N), which also holds for complex spaces (see [1], pp. 49 50], [52]).

Theorem 3.6 shows that for (nge 3), (nne 4) the set of the dimensions of the groups that can act properly on (X) has a lacuna of size linear in (n) located immediately below the maximal possible dimension.

Note that the constancy of the sectional curvature of a Riemannian manifold whose isometry group has maximal possible dimension has been known for a long time (see, e.g., [15], p. 269], [25], p. 216], [92], Theorem 6.2]).

Further, since the dimension of (G) is maximal possible, the group (LG_x) in some complex coordinates in (T_x(X)) coincides with (mathrm{U}_N) for every (xin X).

Since the dimension of (G) is maximal possible, its action on (X) is transitive and for every (xin X) the group (LG_x) contains an open subgroup that in some coordinates in (T_x(X)) coincides with (mathrm{SO}_n({mathbb {R}})).

When a possible occlusion exists, the maximal possible growth for the possibly occluded blob bounds is determined.

+1 0 0   TOTAL   The maximal possible score is 13.

has the maximal possible number of extremum points on ℰ.

For Leibniz, the best of all possible worlds is that world that balances the maximal possible complexity with the maximal possible order.

Leibniz reasoned that this is the best of all possible worlds because it balances the maximal possible complexity with the maximal possible order.

For example, a possible world is a maximal possible state of affairs.