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... A bi-unitary aliquot sequence is said to be periodic if there is an index k such that (nk; nk+1; ... ; n k + t - 1 ) is a bi-unitary t-cycle. A bi-unitary aliquot sequence which is neither terminating nor periodic is (obviously) unbounded. Whether or not unbounded bi-unitary aliquot sequences exist ...
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Mathematics of radio engineering



The mathematics of radio engineering is the mathematical description by complex analysis of the electromagnetic theory applied to radio. Waves have been studied since ancient times and many different techniques have developed of which the most useful idea is the superposition principle which apply to radio waves. The Huygen's principle, which says that each wavefront creates an infinite number of new wavefronts that can be added, is the base for this analysis.
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