The optional sampling theorem for martingales indexed by a partially ordered set is true if the index set is directed. However, the corresponding result for submartingales indexed by a partially ...

With rapid advancement in data acquisition technology (i.e.analog-to-digital and digital-to-analog converters) and the explosive introduction of micro-computers, selected complex linear and nonlinear ...

This is a preview. Log in through your library . This monthly journal, begun in 1950, is devoted entirely to research in pure and applied mathematics, principally to the publication of original papers ...

When electrical engineers hear the name "Nyquist," they think of what Harry Nyquist is best known for: his Sampling Theorem. Evidence of its importance is everywhere. Products like cell phones, audio ...