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Exact(5)
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.
Similar(52)
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.
Related(20)
measures of purpose
measures of prescription
requirements of order
estimates of order
means of order
measures of restraint
measures of modalities
assessment of order
measures of anticipation
measures of functioning
measures of avoidance
measures of occurrence
measures of financing
measures of sitting
measures of remission
measures of motion
measures of disclosure
measures of empowerment
measures of validity
measures of intention
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