Sentence examples for analytical functions of the 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 analytical functions of the program cannot be accessed without first creating a review structure and because import and copy-and-paste functionality are also limited, getting started requires more preparation than with most other software.

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

For coplanar impulsive rendezvous based on the Hill-Clohessy-Wiltshire (HCW) equations, the primer vector hodograph for an optimal four-impulse rendezvous is symmetric about the rendezvous time halfway and can be expressed as an analytical function of the third impulse time.

With the results of this fit, it is possible to write every parameter on the right-hand side of 8 as an analytical function of the length and diameter of the nanorod such that the MDL, LM, of an arbitrary nanorod can be analytically estimated from the length and diameter of the nanorod.

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.

The solid lines are based on our present alternate model of the uniporter in which βe and βx are analytical functions of ΔΨ (Eq. 7), while the dotted lines are based on our previous model of the uniporter [11] in which βe and βx are constants and are numerically estimated.

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