Sentence examples for volume of sums from inspiring English sources

The Shapley Folkman lemma enables a refinement of the Brunn Minkowski inequality, which bounds the volume of sums in terms of the volumes of their summand-sets.

The huge volume of low-sum donations to the site suggested that the public, while hard-pressed financially, were giving as much as they could manage, she added.

A detailed analysis of the volume of TFI (sum of drinking water and beverages of all types) of these 13 surveys can be found elsewhere [ 32].

A fundamental extension of the classical Steiner formula is Minkowski's theorem on the polynomial expansion of the volume of a Minkowski sum of several convex bodies, leading to the theory of mixed volumes (see e.g.  [54]).

The volume of transcription (the sum of the two strands) and its effect on strand bias (the difference between the two strands) is at a minimum in the region of the segment boundary as shown by the red and blue lines in Figure 7a – that is where the strand bias is greatest.

Finally, reconstructed 3D volumes were applied to the images from the FLC-Venus fluorescent channel to calculate mean intensity across the reconstructed volume by summing FLC-Venus intensity inside the reconstructed cell (from multiple z-planes) and dividing by the total volume of the reconstructed cell (summed area from multiple z-planes).

The magnetization M of a small volume of matter is the sum (a vector sum) of the magnetic dipole moments in the small volume divided by that volume.

During the period of export, the volume sum of exporting oil and blending contaminated oil is equal to the export demand.

Total brain volume (sum of gray and white matter) was additionally assessed to conduct head-size corrections.

Thanks to such procedures, the cortical motor area of each muscle could be rigorously described and analysed by means of parameters characterizing such areas as excitability (number and extension of "active" points on the scalp), volume (sum of MEP amplitudes obtained stimulating the whole active area), center-of-gravity (the amplitude-weighted mean position) [10], [14], [76], [84].

The summed volume of the 6 measured structures provided a reliable estimate of total brain size as the summed volume correlated strongly with brain weight (r = 0.96).