This is a preview. Log in through your library . Abstract We establish some necessary and sufficient conditions for the solvability to a system of a pair of coupled two-sided Sylvester-type tensor ...

Inspired by Stark's analytic proof of class number finiteness of a ring of integers in an algebraic number field, we give a new proof of the finiteness of the number of classes of ideals in a maximal ...

IN this book the author establishes the principles of quaternions by the use of the six operations—addition, subtraction, multiplication, division, reversion, and mean reversion. By the introduction ...

Irish physicist, astronomer, and mathematician Sir William Rowan Hamilton introduced quaternions, a non-commutative extension of complex numbers, on October 16, 1843. Benjamin Olinde Rodrigues had ...

Analysis: William Rowan Hamilton's discovery of quaternions in Cabra played a revolutionary role in many of NASA's space missions When Dublin mathematician William Rowan Hamilton conjured up the ...

As in recent numbers of NATURE my views on analysis have been quoted, and not very correctly, I ask for space to state them more explicitly. I see truth in the quaternion analysis and in the vector ...

Two apparently disjoint subjects discussed in the same issue – quantum uncertainty and the Riemann hypothesis – have a surprising and important mathematical connection. Louis de Branges’s purported ...