Sentence examples for basis of the root from inspiring English sources

Subsequently, PLS regression models were fitted and their predictive performance was evaluated on the basis of the root mean squared error of cross-validation (RMSECV) over the complete data set.

The accuracy of the derived plotting position formula for the GEV distribution was examined on the basis of the root mean square errors and relative bias between the theoretical reduced variates and those calculated from the derived and existing plotting position formulas.

Checkland characterizes the conceptual model as, a systemic description of a system of human activity, constructed on the basis of the root definition of the system, in the form of a structured group of verbs.

Assume that r > 0. Denote by I the type of minimal parabolic subgroups of G over F n. Fix a Cartan subalgebra h 0 ⊂ g, the corresponding maximal torus T 0 ⊂ G and a basis of the root system Σ ( T 0, G ).

Evaluation of the proposed method on the basis of the root-mean-square error, peak signal-to-noise ratio, and roughness index proved the method to be robust and highly applicable.

On the basis of the root-mean-square deviation (rmsd) from the top 10 models, Rosetta most confidently predicts the TM1 TM4 region with slight uncertainty at the TM1 N-terminus.

We note that in [6, 10, 11], using the obtained asymptotic formulas for eigenvalues and eigenfunctions, the basis properties of the root functions of the operators were investigated.

Therefore, let us briefly describe some historical developments related to the Riesz basis property of the root functions of the periodic and antiperiodic boundary value problems.

The white Guinea yam, Dioscorea rotundata, was the basis of the new root farming, which enabled the population to grow in the northern savanna from about 5000 bc.

The shear strength increments (ΔS) provided by the roots of Linden hibiscus, Japanese Mallotus, Chinese tallow tree, ironwood, and white popinac were 0.34tR, 0.462tR, 0.688tR, 0.3tR, and 0.87tR, respectively, when tR was estimated on the basis of the tensile root strength crossing through the shear plane.

The initial variable and the number of variables can be given as input information or can be determined on the basis of the smallest root mean squared error of prediction in the validation set of the calibration model (Araújo et al. 2011).