Sentence examples for best error of from inspiring English sources

For each (ninmathbb{N}), let Sigma_{n}:=Sigma_{n}(Psi):=biggl{ sum _{iin A}a_{i}e_{i}: Asubset mathbb{N}, #(A)= n, a_{i} inmathbb{K}biggr}, where (#(A)) denotes the cardinality of the set A. We consider the problem of approximating (x in X) by the elements of (Sigma_{n}) and define the best error of such an approximation as sigma_{n}(x):=sigma_{n} x, Psi)= inf _{y inSigma_{n}}Vert x-yVert.

In Table 1 we list the maximum pointwise error of Example 1, while in Table 2, we compare the best errors of Example 1.

Also some channels can be omitted: For classification with SVM, 23 channels instead of all 41 are sufficient to get the best error rate of 0.07.

The best error rate of SNP combinations was 0.102538 with 101 SNPs from the 26,743 SNPs that had a p-value less than 0.6.

The selection of the best error estimate is based on the standard deviation of the fits.

The comparison is held in terms of the best, error, mean, and standard deviation values.

The experimental result demonstrates that the proposed scheme obtains the best average error of 0.0930° in latitude/longitude in comparison with the best track data.

Experimental results on infrared satellite cloud images show that the model can achieve the best average error of 0.1223° (about 13.58 km) on both latitude and longitude in comparison with the best track data.

The best absolute error of the approximate solutions at some different points, in [7], with (k_1=k_2=3) and (M_1=M_2=3) is (1.6695 times 10^{-6}).

The following theorem then gives an upper bound for the best approximation error of Theorem 1: Assume the exact solution of (3 -(4) is such that (mathbf {A} in mathbf {H}(mathbf {curl},Omega ) cap H^{s}({Omega_{1}, Omega_{2}})^{3}), (nablatimes mathbf {A} in H^{s}({Omega_{1}, Omega_{2}})^{3}) with integer (1 leq s leq k).

Partial least squares (PLS) regression of the absorbance spectra of either 4 or 16 cm−1 spectral resolution led to best standard errors of prediction (SEP) of around 2.4 mg/dl for the glucose concentrations.