Moreover, [omega] is called the

differential form of system (1).

We can create opportunities in a

differential form. That's what we have managed to do.

Let u [member of] [L.sup.p.sub.loc](M, [[LAMBDA].sup.l]), l = 1, 2, ..., n, 1 < p < [infinity], be a

differential form and T : [L.sup.p](M, [[LAMBDA].sup.l]) [right arrow] [W.sup.1,p](M, [[LAMBDA].sup.l-1]) be the homotopy operator.

For any g(x, y) [member of][L.sup.2]([R.sup.2] ), it's corresponding two-dimensional Fourier transform is [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] Therefore, the fractional order partial

differential form with [alpha] is:

So we repeat formula (6) written as a

differential form with the constants left out

The exponential form similarity functions reduce the governing partial differential equations to their ordinary

differential form. The quantative output has been evaluated numerically and presented graphically.

The stretcher is provided with 4 independent motorizations that allow to decrease to the minimum the tensions of the knitted fabric through the overfeeding that is possible also in

differential form between the two sides.

A couple {[OMEGA], [phi]} where [OMEGA] [subset] [PHI] (M) is a diffiety and [phi] [member of] [PHI] (M) is a

differential form will be identified with a variational problem in the (common) sense that diffiety [OMEGA] represents the differential constraints to the variational integral [integral] [phi].

HFSS like other software (ADS, IE3D, CST ...) resolve the electromagnetic equation (in their integral or

differential form) in order to give the simulation results.

Newton's inverse square law of gravity, when expressed in terms of an acceleration field g(r, t), has the

differential form:

To obtain two-way characteristics of SMA elements, the structures of

differential form and biasing from are used commonly.

The above is a first

differential form of the constraint in (40).