We finally employ another unique sum-of-line product decomposition of algebraic curves to study their dynamical behavior when defined by state-space equations.
b The sum of line of GEI.
(On vector bundles of rank 2 on projective space, Hartshorne) Let V be a rank 2 vector bundle on ({mathbb {P}}^N), and assume that ( N ge 7): then V is a direct sum of line bundles.
Reisner [8] established inequality (1.1) for a class of bodies that have a high degree of symmetry, known as zonoids, which are limits of finite Minkowski sums of line segments.
In fact, our proof yields a stronger result than Theorem 2, see Corollary 4.3, where the Euclidean unit ball B n in (2.3) can be replaced by an arbitrary zonoid (i.e. a Hausdorff limit of finite Minkowski sums of line segments).
Illustration from Morgan Library & Museum But the Babar books are more than the sum of their lines.
But the Babar books are more than the sum of their lines.
However, the mean sum of radiolucent lines beneath in all zones of the tibial side was 1 mm (range, 0 to 4), and no knees had 5 mm or above.
In addition, univariate analysis showed significant associations between OS and (1) tumour differentiation (grade 3) (PFS and OS: P<0.001); (2) BRAF mutations (P<0.0001), (3) metastasectomy (OS: P=0.03) and (4) the sum of treatment lines that a patient had the opportunity to receive (P=0.02).
