In this paper we study polygonal transformations through an operation called deflation. It is known that some families of polygons deflate infinitely for given deflation sequences. Here we show that every infinite deflation sequence of a polygon P has a unique limit, and that this limit is flat if and only if exactly two vertices of P move (are reflected) finitely many times in the sequence.

The paper shows that Liquidity Deflation, a liquidity-drainage mechanism associated with Safe Asset Shortage, helps to rationalize supply-side liquidity trap and involuntary unemployment under wage/price flexibility, especially in economies that suffered massive liquidity destruction, like advanced economies in the wake of the Lehman crisis. Moreover, Liquidity Deflation is shown to imply defla...

The task of extracting from a Krylov decomposition the approximation to an eigenpair that yields the smallest backward error can be phrased as finding the smallest perturbation which makes an associated matrix pair uncontrollable. Exploiting this relationship, we propose a new deflation criterion, which potentially admits earlier deflations than standard deflation criteria. Along these lines, a...

OBJECTIVE: To compare the air deflation pressure of the eustachian tubes in patients with tympanic membrane perforations due to various forms of otitis media and those with myringotomy or blast injury perforations. METHODS: The study group consisted of 321 patients (407 ears) aged 4 months to 91 years with tympanic membrane perforations due to otitis media (318 ears), blast injury (27), and myr...

A novel approach based on inflation and deflation is proposed for managing the resolution of simulation models. Different methods are proposed for manual or automatic deflation. An example is given how a topology description language can be extended to support the inflation/deflation concept. Dynamic management of the model resolution is introduced using the method called inflate-the-next and a...

OBJECTIVE To determine the effect of endotracheal-tube cuff deflation on airflow and F(IO2) during high-frequency percussive ventilation (HFPV), and explore methods of correcting the cuff-deflation-associated decrease in mean airway pressure and F(IO2) at the carina. METHODS Using a mechanical lung model in our respiratory research laboratory, we measured circuit pressure near the connection ...

This commentary describes the "deflation cough" caused by deep lung deflations. Deflation cough is a paradoxical reflex similar to that described by Henry Head in 1889 for lung inflations that probably is mediated by the same sensors and afferent fibers in the lungs and activated by gastroesophageal reflux. We discuss how this reflex must be self-limiting, the general role of paradoxical reflex...