X-Nico

unusual facts about power series



Analytic number theory

For example, the circle method of Hardy and Littlewood was conceived as applying to power series near the unit circle in the complex plane; it is now thought of in terms of finite exponential sums (that is, on the unit circle, but with the power series truncated).

Virial expansion

The classical virial expansion expresses the pressure of a many-particle system in equilibrium as a power series in the density.


see also

Ludwig Boltzmann

Finally, in the 1970s E.G.D. Cohen and J.R. Dorfman proved that a systematic (power series) extension of the Boltzmann equation to high densities is mathematically impossible.

QFX

In that time the alternatives for professional digital image editing were over-200k-and-more-USD dedicated workstations like Quantel's Paintbox, Crossfield or Barco Creator software running on expensive SGI Power series multiprocessor boxes.