Sentence examples for be derived by taking from inspiring English sources

The equation of the state sensitivity matrix can be derived by taking the first order partial derivative of Eq. (1) with respect to parameters p (3) S ˙ = ∂ f ∂ x S + ∂ f ∂ p where S = ∂ x ∂ p is the state sensitivity matrix.

One would produce an unadjusted number, and the other would be derived by taking the results from a sample of 314,000 households and using that data to adjust the national, state and local population counts.

To note, FE must be derived by taking the bottom of the concrete as the origin.

Indeed, this is how a line charge model can be derived by taking a limit of point charges.

The estimation method of Newton Raphson employed in this research can be derived by taking the second order Taylor's approximation of LL(β t + 1) around LL(β t ) and the details are as follows.

and a simple adaptive algorithm for determining the adjustable code matrices can be derived by taking the instantaneous gradient terms of the Lagrangian expression with respect to the scalar (phi ^_{{k_{j}}_{text {SAS}}}[i]) in ({boldsymbol {Phi }}_{{eq_{k}}_{text {SAS}}}[i]), which is (35).

Then, the LS solution is derived by taking a derivative to the term τ as follows: 0 = 6 ∑ l ( ω l 2 τ - ω l ξ E, d ( ω l ) ) + 4 π ∑ m = - 1 1 m ∑ l ω l. (9).

Typically, ensemble response (climate response) is derived by taking the mean or median of ensemble members.

Further, the equations of motion of the wind turbine are derived by taking the variable rotor speed into account.

The higher order Laplacian is derived by taking the divergence of a particle-based gradient model (Monaghan, 1992) [18].

Reduced-order models are derived by taking flexural vibration mode shapes as basis functions for the transverse displacement.