Abstract Dilation surfaces, or twisted quadratic differentials, are variants of translation surfaces. In this paper, we study the question what elements subgroups mapping class group can be realized as affine automorphisms dilation We show that surfaces have exotic Dehn twists in their automorphism groups and will establish only certain types arise also generalize a construction Thurston constr...

results there were significant differences between the groups in subjective labor pain scores (except vas 4) (p < 0.001). the duration of the phase one (3 cm dilatation to full dilatation) and phase two (full dilatation to birth) in the acupressure group was shorter than the control group (phase one, 225 min and 320 min, respectively; phase two, 15 min and 20 min, respectively; both p < 0.001)....

We establish dilation theorems for non-tight frames with additional structure, i.e., frames generated by unitary groups of operators and projective unitary representations. This generalizes previous dilation results for Parseval frames due to Han and Larson [6] and Gabardo and Han [5]. We also extend the dilation theorem for Parseval wavelets, due to Dutkay, Han, Picioroaga, and Sun [4], by ide...

Most of the examples of wavelet sets are for dilation sets which are groups. We find a necessary and sufficient condition under which subspace wavelet sets exist for dilation sets of the form AB, which are not necessarily groups. We explain the construction by a few examples.

Vascular endothelial function is declines with aging and is associated with an increased risk of cardiovascular disease. Lifestyle modification, particularly aerobic exercise and dietary adjustment, has a favorable effect on vascular aging. Curcumin is a major component of turmeric with known anti-inflammatory and anti-oxidative effects. We investigated the effects of curcumin ingestion and aer...

We consider the GNS Hilbert space H of a uniformly hyper-finite C∗algebra and study a class of unbounded Lindbladian arises from commutators. Exploring the local structure of UHF algebra, we have shown that the associated Hudson-Parthasarathy type quantum stochastic differential equation admits a unitary solution. The vacuum expectation of homomorphic cocycle, implemented by the Hudson-Parthasa...

BACKGROUND Cervical dilation using mechanical dilators is associated with various complications, such as uterine perforation, cervical laceration, infections and intraperitoneal hemorrhage. To achieve safe and painless cervical dilation, we constructed a new medical device to achieve confident mechanical cervical dilation: a continuous controllable balloon dilator (CCBD). METHODS Controlled p...