Sentence examples for quantity bounds from inspiring English sources

Let α(X) denote the spectral abscissa (the largest real part of the eigenvalues) of a matrix X; as is well known, this quantity bounds the asymptotic decay rate of the trajectories of the associated dynamical system ż=Xz.

To analyze this, we propose the ratio of accelerations begin{aligned} sr := frac{||vec {varvec{a}}_{mathrm{obj}}||^{2}}{||vec {varvec{a}}_{mathrm{obj}}||^{2}+||vec {ddot{varvec{q}}}_{s}||^{2}}, end{aligned} (30)and call it slippage ratio which is a dimensionless scalar quantity bounded as ({sr in [0,1]}).

It is a quantity that bounds the surprise (negative log probability) of some (sensory) data, given a model of how those data were generated.

The first concern is that the depth of the memories results in a restriction on the quantity of bounding volumes and, therefore, on the quantity of objects.

(4) There is an exponential relationship between the amplitude weighted average frequency and the quantity of bound chloride (regulated by chemical reaction) in the cement paste.

There is an exponential relationship between the amplitude weighted average frequency and the quantity of bound chloride (regulated by chemical reaction) in the cement paste.

Table 2 Spearman correlation between quantity of bound E. coli F4 (CFU/mg yeast) and mannan-, glucand, and protein-content of yeast derivatives   Glucan Mannan Protein Spearman-Rho CFU E. coli [CFU/mg yeast] Coefficient of correlation -0.130 0.315 0.214 Sig.

For this experiment, TUBO cells were coated with various dilutions of serum and the quantity of bound antibody was determined by flow cytometry.

Following the experiment, the membrane was dried and the quantity of bound proteins determined by laser scanning densiometry (Thyphoon-TRIO, GE Healthcare).

Note that this quantity is bounded by a constant multiple of sequence length n.

Another important quantity, matrix-bound VEGF, can be calculated using the relation, [H] = [H]Total - [VH].