Hilbert’s 12th problem asked for novel analogues of the roots of unity, the building blocks for certain number systems. Now, over 100 years later, two mathematicians have produced them.

This is a preview. Log in through your library . Abstract Suppose F is a polynomial and $\sum\nolimits_{h \geqslant 0} {F\left( {{b_h}} \right)} {X^h}$ represents a rational function. If the bh all ...

Polynomial interpolation to analytic functions can be very accurate, depending on the distribution of the interpolation nodes. However, in equispaced nodes and the like, besides being badly ...

Thus, ARIMA models with input series are sometimes referred to as transfer function models. In the preceding regression and intervention model examples, the transfer function is a single scale ...