Sentence examples for following density from inspiring English sources

end{aligned} (5.28)We wish to augment (5.28) with the following density result.

We observe the samples Y 1, Y 2, …, Y n from biased data with the following density function: f Y ( x ) = g ( x ) f X ( x ) μ, (1.1).

We also have the following density formulas: begin{aligned}& dL_{r[r+q-n]}=bigwedge_{alpha,h}(e_{r+alpha}, de_{h}), & dL_{r+q-n[O]}^{ q)}=bigwedge_{alpha,i} bigl(e_{r+alpha}^{prime}, de_{i}bigr).

random variables distributed according to Pareto distribution with the following density function f(w): begin{aligned} f(w) = frac{a}{w_0} {left( frac{w_0}{w}right) }^{a + 1}; (w ge w_0).

We established the optimization technique attaining yield of 2600 kg ha−1 in the tests as following: density of 28 350–31 650 plants ha-1, and supplements of N, P and K of 363-387, 98.58-105.48 and 280.20-319.8 kg ha−1, respectively.

The compound Gaussian family is a subset of the CES family, described by the following density generator: g(t)={displaystyle underset{0}{overset{infty }{int }}{tau}^{-L} exp left{-t/tau right}{f}_{tau}left tau right)dtau }, (6 and normalizing constant C L,g  = π − L.

Next, we consider the following density-dependent modified-Leray -MHD model: (1.3).

The following densities are log-concave: extreme value, gamma with shape parameter at least one, exponential, beta with both parameters at least one, and the Weibull with shape parameter at least one.

Cells were seeded into semi-solid media (1 ml, in duplicate) at the following densities: 4×104 bone marrow cells/ml and 5×105 spleen cells/ml for myeloid clonogenic progenitor assays, and 2×105 bone marrow cells/ml and 2×106 spleen cells/ml for B-lymphoid clonogenic progenitor assay.

The resulting pellet was washed with RPMI 1640 medium and a sample was removed for flow cytometric analysis; the remaining cells were suspended in RPMI 1640 medium (2×10 cells in 6 ml) and gently layered on to 6 ml of a discontinuous Percoll™ density gradient prepared with 1.2 ml layers of the following densities: 1.105, 1.100, 1.093, 1.087 and 1.081 g/ml.

For cell monolayers (two-dimensional), cells were plated into 96-well black-sided flat-bottomed plates (Corning B.V. Life Sciences, Amsterdam, The Netherlands) at the following densities: 600 cells/well (U-87 MG, KNS42); 2,000 cells/well (MDA-MB-231) and 3,000 cells/well (LICR-LON-HN4).