Sentence examples for equations satisfied from inspiring English sources

A Boolean algebra is then any algebra with those 16 operations and two constants satisfying the equations satisfied by the initial Boolean algebra.

These results are then applied to the Navier-Stokes equations to derive the basic equations satisfied by the filtered fields.

The set of partial differential equations satisfied by the periods of the Seiberg Witten differential is obtained from the Picard Fuchs equations of the local B-model.

Using these, they obtain differential equations satisfied by the mean values of ℘ over its periods; these mean values are considered as functions of the invariants.

The partial differential equations satisfied by the Green's functions turn into a set of inhomogeneous algebraic equations after by using Fourier transform.

Using the invariance of the differential equations, satisfied by physical quantities, such as Lagrangian, non-potential general forces, under the infinitesimal transformation, the authors propose the definition and criterions of the form invariance for mechanico-electrical systems.

The friction constitutive equations satisfy the axiom of objectivity.

(The wave equation itself and the fully implicit difference equations satisfy this criterion, but neither of Lees' methods do).

The solution of the resulting system of first-order linear ordinary differential equations satisfies a recurrence relation which involves a matrix exponential function.

But in this circumstance, the pendulum-type equations satisfy some sign property locally.

With these parameter values, our model equations satisfy several structural hypotheses.