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In theory, Riordan arrays can have any AA-sequence and any ZZ-sequence. For examples of combinatorial interest they tend to be related. Here we look at the case that they are identical or nearly so. We provide a combinatorial interpretation in terms of weighted Łukasiewicz paths and then look at several large classes of examples.
Dual magnetic resonant modes at neighboring frequencies are induced in a split double-ring metamaterial, which contribute to a transparency window within a broad stopband. This resonance-based window exhibits a favorable filtering performance due Timberland Boots Canada Online to its fast roll-off characteristic, and a considerable sensitivity to refractive index changes of the surrounding medium.
Let C be the companion matrix of a monic polynomial p over a field F. We prove that if A is a matrix whose entries are rational functions of Buy Timberland Work Boots Canada the coefficients of p over F and whose characteristic polynomial is p, then A has at least as many nonzero entries as C.
The X-ray source is a key part for public security detection applied in airport, custom and many public security detection places. In this paper, it introduces how to design X-ray source system and its X-ray source controller.