Sentence examples for volume of a set from inspiring English sources

where μ denotes the volume of a set.

The volume of a set is defined in terms of the Lebesgue measure, which is defined on subsets of Euclidean space.

The volume was calculated using bearing tool, in which the calculation is performed through the volume of a set of pixels bounded by second planes [ 29, 30].

At one point, we bought the first few volumes of a set of encyclopedias that the supermarket where we shopped was promoting, but we never got them all.

where mean is the mean delineated volume for a set of lesions and SD is the corresponding standard deviation.

In the paper, the reconstruction accuracy is discussed quantitatively both without and with obstacles in the measurement volume for a set of phantom functions mimicking realistic temperature distributions.

Another rarity from Ottoman Turkey turned up — a painted page from volume five of a set of six volumes recounting the "Life of the Prophet" (Siyar-i Nabi) commissioned by Sultan Murad III in 1594-1595.

These inequalities show that the weighted volume distance of a set F from the set (E_{alpha}) with the same weighted volume is controlled in terms of the difference of the weighted α-perimeter of F and the weighted α-perimeter of (E_{alpha}).

Let us consider an image (or MRI data volume) composed of a set of N points (voxels).

The system is applied to obtain 3-D volume images of a set of glass-samples covering an area of about 28 mm by 15 mm with thicknesses ranging between 2.1 mm and 4 mm, from which defects such as solid inclusion, micro-deformation and bubble are identified either on the surfaces or inside the samples.

Beepers and cell phones were sounding across the room, and the volume of a television set parked at the center of the cafeteria was turned up as Knesset members took in the news.