Quaternion matrix algebra extends classical matrix theory into the realm of hypercomplex numbers, enabling elegant representation and manipulation of three-dimensional rotations and rigid-body motions ...

Imagine winding the hour hand of a clock back from 3 o’clock to noon. Mathematicians have long known how to describe this rotation as a simple multiplication: A number representing the initial ...

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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 ...

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 ...