Sentence examples for testing equation from inspiring English sources

If we know that an equation is conditionally oscillatory, then we can use it as a testing equation for many other equations.

Testing equation (4.16) with ζ yields frac{1}{2}{dt}E+epsilon 1-epsilon biglVertiglVert A^{1/2}{dt}E+epsilon 1-epsilon biglVert/2}zetA^{grVert ^{2}=epsilon Vert zeta Vert ^{2}-epsilon^{2}langle U_{1/2}U_{rA^{le, (4.1/2}zetabigrVertergy functional E is giVertas E=(1-epsilon)biglVert A^{1/2}U_{1}(t)bigrVert ^{2}+biglVert zeta(t)bigrVert ^{2}.

Table 4 Hausman test Correlated random effects—Hausman test Equation: untitled Test cross-section random effects Test summary Chi-sq.

In this paper it is shown that the classical well testing equations, with minor adaptations, may be extended to intermittently produced Pump Off Controller (POC) wells.

At last, a nonlinear test equation is simulated to verify the results obtained from theory.

The proposed method, when applied to a linear test equation, is shown to be unconditionally stable.

Table 5 Jarque-Bera test Equation Chi2 df prob > chi2 Prod.

In this work we construct new Runge Kutta Nyström methods especially designed to integrate exactly the test equation y″="−w2y.

In Section 4, the mean-square stability of the CSSθ method for linear test equation is studied.

However, Lehmann (1998) pointed out that the power function of the rank-sum test, Equation (2), was only qualitative.

Linear stability analysis is given by applying the numerical methods to the test equation.