Sentence examples for matrices when using from inspiring English sources
The global radial basis functions collocation technique produces ill-conditioning matrices when using multiquadrics, making the choice of the shape parameter a crucial issue.
This happens because the number of items in MUSIC (3121) is much higher than the number of users (785), leading to much larger matrices when using item-based algorithms.
In order to take into consideration the matrix effects, a well-known phenomenon which usually impair the proper ionization of the analytes in complex matrices when using ESI interfaces, we have employed in each methodology a matrix-matched calibration for the quantification of the analytes.
Hence, they show a strong correlation with the BLOSUM matrices when used without a frameshift.
Another advantage is that the speed up ratio is increased with the size of the input matrix when using ENNs and matrix decomposition.
In contrast to faster neural networks, the speed up ratio is increased with the size of the input matrix when using faster neural networks and matrix decomposition.
From this perspective, this methodology (qPCR-PMA) can solve problems related to the overestimation of bacterial counts due to the presence of extracellular DNA in biofilm matrix when using qPCR alone.
Lastly, in limited initial testing, we found the optimizer was also more likely to converge to a minimum (as indicated by a positive definite Hessian matrix) when using a χ2 objective function compared to least squares.
BMC Proc 2009; (Suppl 7): S123. 2. Louis TA: Finding the observed information matrix when using the EM algorithm.
After the data have been collected, the (asymptotic) sampling variance of the estimate can be derived from the analysis, for example, from mean squares in balanced designs, from the information matrix when using maximum likelihood or from the posterior density in Bayesian analysis.
According to simulations and case studies, the best intermediates are jackknife trees and distance matrix (when used with Neighbor-Net algorithm).
