Now we prove new type of result for a different multivalued

rational expression studied by Rasham et al.

From (6) ODP employs a polynomial-like

rational expression as the proposal of approximation of the nonlinear differential equation to be solved.

We are working on simplifying the

rational expression:

This procedure gives a way to compute a representation of the closure of a rational language inductively on the structure of the

rational expression. Of course, the closure of a union is the union of the closures.

They proved some fixed point results for a pair of mappings for contraction condition satisfying a

rational expression. Azam et al.

It is fair to say that relational theory is the only solid framework for establishing a

rational expression of data that falls anywhere inside the boundaries of formal logic.

By using the

rational expression of [p.sub.1] in terms of {[[epsilon].sub.1], [[epsilon].sub.2], [[epsilon].sub.3], [[epsilon].sub.4], [[epsilon].sub.-1], [[epsilon].sub.-2]} just mentioned, this reduces to showing

The MGF of output SNR obtained above is in closed form

rational expression form, exactly matches the expression of MGF of SNR given in [14] for Rayleigh faded envelope.

In so doing, she demolishes any claim for

rational expression on behalf of Gropius' design, with its "department store" windows showing equal disregard for function at the office floors and at the thirteen uninhabited floors of the upper tower.

It is not just that our selves are in our stars; rather, these correspondences between scientific knowledge (the Southern cross),

rational expression (souls in rational conversation), and poetic creation (this fictional world) are part of a single process of self-realization.

The changes in Maritain's theory, particularly his redefinition of jus gentium in Man and the State (1951) to encompass any attempt to give a

rational expression of natural law, are not analyzed.

That is, every Plucker coordinate [P.sub.J] with J [member of] [M.sub.L] can be written as a subtraction-free

rational expression (i.e., a ratio of two polynomials with nonnegative integer coefficients) in the elements of [P.sub.L], and [P.sub.L] is a minimal set (with respect to inclusion) with this property.