Sentence examples for by using the root from inspiring English sources

In contrast, stems in the Semitic languages indicate different grammatical contexts by using the root and pattern system and as a result can appear in quite different shapes.

The flow field and tracer gas mixing performances are quantitatively analyzed by using the root mean square deviation coefficient.

Note that the third-order algebraic equation (4.1) can have one, two, or three positive roots in the interval ((0,1)) which can be evaluated by using the root formula of the third-order algebraic equation.

T is the error propagation matrix which is derived in Appendix 2. The performance bound of the 3D coordinates estimation can be obtained from (11) by using the root Cramer-Rao bound (RCRB) as the error of the estimated angles, that is Δ e ¯ = T − 1 C (12).

Finally, we evaluated the predictive validity of this model by using the root mean square (RMS) error and RMS percentage error criterion (Makridakes et al. 1998).

The accuracy and quality of the PLS models were evaluated by using the root mean square error of cross validation (RMSECV), the standard error of cross validation (SECV), R, the number of factors, and the ratio performance deviation (RPD).

In contrast, the Semitic stem indicates different grammatical contexts by using the root-pattern system and as a result can appear in quite different shapes.

These findings are validated by using the root-locus method from the discrete-control theory.

However, we note that (27) is an equation with only one variable, and thus, the numerical solution for z can be obtained by using the root-finding algorithms such as the bisection method and Newton's method [17].

The generating function and defective renewal equation satisfied by the Gerber-Shiu expected discounted penalty function are derived by using the roots of a generalized Lundberg's equation.

Pick random words, and by using the roots try to guess the meaning.