Sentence examples for analytical functions of from inspiring English sources

Material properties are taken to be analytical functions of the thickness coordinate.

In particular, the inelastic strain is represented as a piecewise linear combination of analytical functions of the spatial variable.

The conventional rod or beam equation of motion is used with the area and moment of inertia expressed using analytical functions of the longitudinal (horizontal) spatial variable.

Hence, after both the bottomside thickness parameter computed by the proposed equation, B2bot_Pro, and the bottomside shape parameter (namely, B1_Pro in this work) are computed, the bottomside electron density and the height where the bottomside electron density drops down to be 24% of the NmF2 (namely, h0.24) can be computed and shown in this work using the analytical functions of the IRI model.

The employment of LULC change detection methods using satellite imagery and the analytical functions of distance and size in the GIS environment can help determine the process and pattern of significant changes in LULC.

For example, using Taylor series, one may define analytical functions of matrices and operators, such as the matrix exponential or matrix logarithm.

The altitude is designed as an analytical function of energy, and the QEGC is employed to analytically solve the remaining state variables.

An analytical function of nonlinear time-delay feedback control is derived.

In addition, the criterion reduces to a simple analytical function of a set of scalar parameters for the case of Gaussian-distributed proper random processes.

An analytical function of the optimal p/a versus b/a in implicit form, and furthermore in explicit form with negligible error, are obtained.

To do so, we use the Fourier integral to obtain an analytical function of an arbitrary load and then, we develop this function in power series using Taylor series.