Sentence examples for represents analytically from inspiring English sources

Equation (24) represents analytically the failure probability for individual machine with respect to the failure and repair rate of the rest of the machines' system.

Although many surfaces can be represented analytically, there are also many surfaces for which analytical descriptions do not exist.

The transgendered have begun to insist that sex, gender and sexuality represent "analytically distinct categories," Dr. Meyerowitz says.

Tow geometry is represented analytically taking account of tow undulation.

For this application, the main acoustic source at the slat trailing edge is represented analytically.

The oscillatory stress singularity in the radial direction emanating from the scaling center is represented analytically.

The contact dynamics of the rotor and bearing bushing in an electrostatic micro-motor are represented analytically and numerically.

The resulting elliptic system is solved using an iterative method on arbitrary surfaces represented analytically by rational B-splines.

The signal for diffusion weighted magnetic resonance imaging has previously been represented analytically and simulated numerically for a variety of model problems with idealized geometries.

The formation of envelope by several branches is represented analytically, rules for discovery of different envelope branches are proposed, and the existence of branches is illustrated graphically.

and red dashed lines represent analytically determined probabilities.