Sentence examples for middle quantity from inspiring English sources

By taking (Y =W^{-1}), with X and W both having unit trace, so that both X and W are density matrices, the middle quantity in (1.6), (mathrm{Tr}[ X (log X - log W )]), is the Umegaki relative entropy of X with respect to W [43]. Thus (1.6) provides upper and lower bounds on the relative entropy.

To estimate the amplification efficiency of each plate, a standard curve consisting of 5 serial 1 10 dilutions of one sample was analysed in triplicate (10,000-fold range, 50 ng - 0.005 ng DNA per well, with the middle quantity roughly matching that of samples being analysed).

Combined with the actual condition of protective band coal pillar of filling and recovery, some elements which are important to coal pillar stability have been researched, such as the width of the middle pillar, quantity of filling roadway, size of filling roadway, and grade of filling roadway.

The price difference was increasing between China and Korea ($9.28; low, $10.28; middle, $10.97; high at quantity of 500 pieces or less), and the difference was decreasing, as the quantity is larger ($6.97; low, $7.61; middle, $8.78; high at above 10,000 pieces quantity).

The price difference was increasing between China and Korea ($9.08; low, $9.82; middle, $10.82; high at quantity of 500 pieces or less).

The middle gland produces considerable quantities of sericins and the longest posterior gland grows rapidly, synthesizing a series of proteins including fibroin heavy and light chains plus fibroin P25 by exclusively ~500 posterior gland cells of the fifth instar larva.

Intel said both its Intel NetStructure 7280 XML Director and the 7210 XML Accelerator devices would ship in quantity in the middle of the year.

Figure 6 depicts the resulting distributions: price on the left, quantity in the middle and sophistication on the right.

The price difference was increasing between China and Korea ($9.99; low, $10.56; middle, $11.5; high at the quantity of 500 pieces or less).

Haber nitrogen was not used as fertiliser in large quantities until the middle of the 20th century, and for a good reason.

The bottom panel illustrates the four-interval vector-mean temperature amplitudes for SABER, the middle panel illustrates the same quantities for exosphere temperature derived from CHAMP and GRACE, and the top panel illustrates the CTMT exosphere temperature results based on upward HME extensions from fits to TIMED/SABER and TIMED/TIDI climatologies below 120 km.