Airey's Converging Factor

Converging Hands or Converging Minds?

Interlocutors sometimes repeat each other’s representational hand gestures. We investigated if this is a case of direct mimicry of form, or whether perceiving a gesture gives rise to a semantic representation, which subsequently informs gesture production. For this we used an interactive route description task, in which a confederate’s gestures indicated the route in either the vertical or the ...

Energy balance pathways converging on the Nhlh2 transcription factor.

Multiple regulatory pathways exist to control the expression levels of neuropeptides in response to body weight and energy availability changes. Since many neuropeptides are first synthesized in a pro-neuropeptide form, the availability of processing enzymes in a neuron can control the amount of active mature neuropeptide produced at any given time. In this review, we will focus on the regulati...

NBIC, THE CONVERGING TECHNOLOGIES

A remark on the converging-input converging-state property

Suppose that an equilibrium is asymptotically stable when external inputs vanish. Then, every bounded trajectory which corresponds to a control which approaches zero and which lies in the domain of attraction of the unforced system, must also converge to the equilibrium. This “well-known” but hard-to-cite fact is proved and slightly generalized here.

Converging to Gosper’s Algorithm

Given two polynomials, we find a convergence property of the GCD of the rising factorial and the falling factorial. Based on this property, we present a unified approach to computing the universal denominators as given by Gosper’s algorithm and Abramov’s algorithm for finding rational solutions to linear difference equations with polynomial coefficients.