In the hyperbolic case, a continuum of spacings is possible, but there is a curvature-induced shift (the wavenumber has to be shifted by a "half-sum of positive roots", as often happens in representation theory) which makes the typical spacing of a monochromatic field different from the (hyperbolic) distance between same-phase horocycles which appears in Helgason waves.
At each position of the alignment, the distribution in the ancestral sequence is a half-sum of the two distributions in the descendants.
Using pointwise upper bounds recently obtained by the first author, we first show that the heat kernel ht x, y) on a Riemannian symmetric space of the noncompact type GK is asymptotically concentrated in an annulus centered at y and moving to infinity with finite speed 2 ¦ϱ¦, ϱ being as usual the half sum of all positive roots of GK.
To analyse these changes in greater detail, we re-divided the subvolumes into two groups, the proximal half (sum of 972 subvolumes from groups 1 4) and the distal half (sum of 972 subvolumes from groups 5 8) and recalculated their averaged structure, respectively.
In this paper, the advection equation is written in the symmetric form, where the advection operator is the half-sum of advection operators in conservative (divergent) and non-conservative (characteristic) forms.
BDD half sum and carry elements of a half adder were fabricated by integrating the WPG BDD node devices and they operated correctly through either quantum transport at low temperature or many electron classical transport at room temperature.
Paula Vitaris, writing for Cinefantastique, rated "Zero Sum" one-and-a-half stars out of four, noting that its "pacing and tone are off".
The cost of MRI/CT was calculated as half the sum of an MRI and a CT, since the study data did not differentiate between the two and we do not know the proportion of MRI and CT.
Couple of misjudgments in first half summed up England's curious brainstorm.
And the electronic flight information monitors, flickering back to life after a day and a half of blankness, summed up the situation pretty well.
The execution time with no failure is shown as the blue bar, and the execution time with failure in a half of nodes is the sum of blue bar and red bar which is extra time when failure occurrence.
