New, electronic trading systems have greatly reduced the cost of buying and selling stocks, thus saving mutual funds — and, by extension, ordinary investors — countless millions.
In another possible extension, ordinary derivative is replaced by a fractional derivative in the Langevin equation to yield the fractional Langevin equation [36 39].
Their machines still seemed understandable as evolved extensions of ordinary human abilities.
The change and succession which feature in our immediate experience occur within specious presents which have no temporal extension in ordinary objective time; these specious presents do possess a temporal extension – an experienced extension – but this exists (as it were) orthogonally to ordinary time, along the vertical rather than the horizontal.
When Custer was born, in 1965, rodeo still seemed an extension of ordinary cowboying.
War - as memorably described in the ninth volume, The Military Philosophers - is for Powell-people an extension of ordinary life; the flow is diverted but not stemmed, and rank is merely a crude token of what always existed in this elegantly competitive world.
What these earlier movies have in common is a tendency to view the financial system as either an extension of ordinary villainy or, as in the case of "Too Big to Fail", a grand beast of mythical proportions, like the monster/alien/tidal wave in a disaster flick.
Therefore fractional calculus might be considered as an extension of ordinary calculus.
Fractional calculus is a natural extension of ordinary calculus, where integrals and derivatives are defined for arbitrary real orders.
Blum et al. (1989) set up a mathematical theory of computation over real-valued quantities, which they see as a fruitful extension of ordinary computability theory.
