analysis of aperture-coupled microstrip antennas with a superstrate using space domain closed form greens functions is presented. integral equations are derived from applying the boundary conditions on the radiating patch, across the aperture, and on the microstrip feedline. the computation of space domain greens functions is performed using the closed-form. the solution of the integral equatio...

The Laplacian operator is invariant under rigid motions: For any function u on R and for any rigid motion T W R ! R, .u ı T / D . u/ ı T: T is called a rigid motion if T x Ox C b for some n n orthogonal matrix O and some vector b 2 R. It is clear that a linear second-order partial differential operator Lu WD aij .x/uij C bi .x/ui C c.x/u is invariant under rigid motion, i.e., L.u ı T / D .Lu/ ı...

The Banach space E has the weakly compact approximation property (W.A.P.) if there is C < ∞ so that the identity map IE can be uniformly approximated on any weakly compact subset D ⊂ E by weakly compact operators V on E satisfying ‖V ‖ ≤ C. We show that the spaces N(`, `) of nuclear operators ` → ` have the W.A.P. for 1 < q ≤ p < ∞, but that the Hardy space H does not have the W.A.P.

Let A = (aij) be a real n n matrix with non-negative entries which are weakly increasing down columns. If B = (bij) is the n n matrix where bij := aij+z; then we conjecture that all of the roots of the permanent of B, as a polynomial in z; are real. Here we establish several special cases of the conjecture.

The intuitionistic linguistic set (ILS) is an extension of linguisitc variable. To overcome the drawback of using single real number to represent membership degree and non-membership degree for ILS, the concept of interval-valued intuitionistic linguistic set (IVILS) is introduced through representing the membership degree and non-membership degree with intervals for ILS in this paper. The oper...

We consider the Wigner ensemble of n×n real symmetric random matrices of the form A (n) ij = 1 √ n aij , whose entries {aij}1≤i≤j≤n are independent random variables with the same symmetric probability distribution such that Eaij = v , and study the corresponding ensemble of random matrices with truncated random variables  (n) ij = 1 √ n â (n) ij , where âij = aijI[−Un,Un](aij). Our main result...

Automatic music composition and sound synthesis is a field of study that gains continuously increasing attention. The introduction of evolutionary computation has further boosted the research towards exploring ways to incorporate human supervision and guidance in the automatic evolution of melodies and sounds. This kind of human–machine interaction belongs to a larger methodological context cal...