Sentence examples for be derived analytically using from inspiring English sources

An optimal value for x can also be derived analytically using interpolation after evaluations of for different candidate values of x, as previously noted (Waldispühl and Ponty, 2011), and could be implemented using the Fast-Fourier Transform (Senter et al., 2012).

The absorption coefficient and specific acoustic impedance are derived analytically using dimensionless parameters.

The first four temporal moments are derived analytically using the Laplace domain solutions.

The discrete-time acceleration profile is derived analytically using finite step segments.

By taking the quadratic polynomial output without cross term as an illustration, the solution of the contribution decomposition is derived analytically using the statistical inference theory.

Expressions for the equivalent stiffness of the saturated poroelastic halfspace interacting with the infinite beam of finite width were derived analytically using a contour integration procedure.

This piezoelectric laminate cantilever beam is assumed to be vibrating in a single degree of freedom i.e. in the flexural mode only and the corresponding state space models have been derived analytically using the finite element technique.

The frequency equation of carbon-nanotube-based cantilever sensor with an attached mass is derived analytically using nonlocal elasticity theory.

The parameters of the robust controller can be derived analytically.

The indices in this formula can be derived analytically following Inoue and Kamaya (2004).

Note that the optimal value of η cannot be derived analytically.