Sentence examples for matrices to quantify from inspiring English sources

Statistical matrices to quantify positioning error of two perfectly circular mating parts subject to size tolerance for both clearance and transition fit conditions are first developed.

We introduce the concept of using the Frobenius norm (L2-norm) of the signal and noise matrices to quantify the signal to noise ratio in the global sense (involving multiple signals).

The aim of this work is to present revised and improved model parameters for group-contribution+ (GC+) models (combined group-contribution (GC) method and atom connectivity index (CI) method) employed for the estimation of pure component properties, together with covariance matrices to quantify uncertainties in the estimated property values.

The poor prognostic value associated with RRP is important and may be addressed by the development of prediction matrices to quantify the risk of RRP at one year in terms of baseline data.

Later on, each hazard is studied using methods such as the risk matrix to quantify the associated risk.

Here, we use the average of the values in the correlation variability matrix to quantify this, because of similar high dimensionality of these matrices.

Polymers are a quite difficult matrix to quantify additives by classical GC-MS due to the fact that a complex precipitation step has to be carried out to avoid injection of a higher fraction of oligomers into the GC injector causing analyte discrimination and carryover effects.

Preliminary studies on smokers and patients with chronic obstructive pulmonary disease have revealed that several toxic metals and trace elements are detectable in EBC, raising the possibility of using this new matrix to quantify the lung tissue dose of pneumotoxic substances (Mutti et al. 2003).

The computation of spatial autocorrelation requires construction of a matrix known as spatial weight matrix (W) to quantify the spatial proximity between each possible pair of observational units.

We constructed a 76 × 22 enrichment score [-log10(p) ] matrix, E to quantify the enrichment of the various process terms (rows) across the various treatments (columns).

However, these studies utilized carpal tunnel fibroblasts as control cells and often used a floating-matrix rather than stressed-matrix contraction model to quantify cell-mediated collagen contraction, thus making it difficult to directly compare results.