Sentence examples for measures of order from inspiring English sources

A Fourier analytic characterization of j-projection bodies in terms of their area measures of order j is obtained.

In particular, even if a quadrature measure of order (n) supported on the minimal number of points, ({hbox {dim}}(mathbb{H }^q _{n/2})), does not exist when (qge 2), M Z measures of order (n) with this property are plentiful.

Nevertheless, the two measures of order are mathematically independent and do not necessarily correlate [56], [57], [58].

Associated with a convex body K ∈ K n is a family of Borel measures S i (K, ⋅ ), 0 ≤ i ≤ n − 1, on S n − 1, called the area measures of order i of K, such that for each L ∈ K n, (5.2) W n − 1 − i (K, L ) = 1 n ∫ S n − 1 h (L, u ) d S i (K, u ).

By making use of the measures of order described in the 'Measure of long-range order' section in 'Materials and methods' and calculating the similarity of each activity pattern either to an FCC or to an HCP, we can assess the presence within a population of mEC units of the different asymptotic arrangements.

At least a measure of order would be restored.

When a measure of order had been restored, Georgetown's head coach, John Thompson III, ordered his team off the floor.

Now, with a measure of order restored but with a lack of control from Kabul, looting is in full season.

It ranked second in "institutional character," a measure of order and political stability.

By the end of the novel, Liss has cleverly used all his characters to bring a measure of order to a chaos of plot and counterplot.

In the short term, the Magpies are desperately trying to restore a measure of order to life on Tyneside after a tumultuous few days.