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Two uid-ow problems are solved using perturbation expansions, with special emphasis on the reduction of intermediate expression swell. This is done by developing tools in Maple that contribute to the eecient representation and manipulation of large expressions. The tools share a common basis, which is the creation of a hierarchy of representation levels… (More)

(CSI). It is demonstrated that the isotropic interference minimization in the absence of PU CSI can be formulated as a semi-definite program (SDP) while it reduces to linear interference constraints based CR user sum-rate maximization in the presence of PU CSI. Closed form power allocation expressions are derived for the above scenarios under a sum-trace… (More)

We consider algebraic numbers defined by univariate polynomials over the rationals. In the syntax of M<sc>aple</sc>, such numbers are expressed using the <b>RootOf</b> function. This paper defines a canonical form for <b>RootOf</b> with respect to affine transformations. The affine shifts of monic irreducible polynomials form a group, and the orbits of the… (More)

—In this paper, we study an energy-harvesting cog-nitive radio (CR) system where each secondary user (SU) harvests energy to recharge its battery. Cooperative spectrum sensing is employed to enhance the sensing performance. In this energy-constrained scenario, the SUs, as per their energy-arrival rates, can cooperate to achieve higher opportunistic spectrum… (More)

An unusual boundary-value problem that arises in a fluid-mechanical application is solved to high precision, as a challenge problem in scientific computation. A second-order differential equation must be solved on (0, ∞), subject to boundary conditions that specify only the asymptotic behaviour of the solution at the two ends of the solution domain. In… (More)

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