OBJECTIVES Our purpose was to investigate a new approach to bicommissural repair of regurgitant aortic valves. BACKGROUND Repair of regurgitant aortic valves is not widely accepted, but interest is increasing, particularly for bicuspid valves. We hypothesize that a systematic, segmental approach to morphology and corresponding morphology-directed repair will improve decision making and succes...

1 Characteristic 0 We start with a basic question: given a polynomial f ∈ C[z1, · · · , zn] with a singularity at 0, how can we measure the “singularness” of this polynomial in a precise way? In other words: we can look at various singularities and see intuitively that some singularities are worse than others. For instance, it feels like a transverse self-intersection is probably not as bad as ...

Talon’s cusp is a properly delineated additional cusp which is said to arise due to evagination on the tooth surface even before the calcification has taken place. Hence it is also known as dens evaginatus. Fusion is a condition wherein the crowns of two separate teeth are seen to have joined togetherduring the time of crown development. The present article describes a case where in both the pr...

Background Accurate measurement of maximal aortic root dimensions is important for informed decision making on the timing/ nature of aortic valve replacement surgeries in pediatric patients. Currently, the observer manually measures the following metrics to quantify maximum aortic root dimensions: 1) Cusp to Commisure (Cu-Co), and 2) Cusp to Cusp (Cu-Cu) lengths. This introduces significant int...

In this paper, we present cusp solitons for the Degasperis-Procesi (DP) equation under the inhomogeneous boundary condition lim|x|→∞ u= A, where A is a non-zero constant. Through mathematical analysis, a stationary cusp soliton is presented in an explicit form of u(x, t) = √ 1− e−2|x| ∈ W 1,1 loc , but / ∈ H1 loc, while most cusp solitons are expressed in an implicit form in the space ofW 1,1 l...

in this paper using catastrophe theory, we investigate non-smooth changes in tehran stock exchange. stock market crashes bring not only panic among investors, but also in deeper market lead to recession and decrease in consumer's confidence. as catastrophe theory is strong tool in explaining nonlinear phenomena, by applying stochastic cusp catastrophe model we examine sudden change in tehr...

Labial talon cusp, or dens evaginatus is a very rare dental anomaly of unclear etiology and significance. It can occur as an isolated finding or be associated with other dental anomalies or some syndromes. The present report describes two Caucasian males with labial talon cusp on maxillary permanent left central incisors. In both cases accessory cusp caused plaque accumulation and marginal ging...

Maps of GPS phase scintillation at high latitudes have been constructed after the first two years of operation of the Canadian High Arctic Ionospheric Network (CHAIN) during the 2008–2009 solar minimum. CHAIN consists of ten dual-frequency receivers, configured to measure amplitude and phase scintillation from L1 GPS signals and ionospheric total electron content (TEC) from L1 and L2 GPS signal...

In this article we verify an orbifold version of a conjecture of Nimershiem from 1998. Namely, for every flat n–manifold M, we show that the set of similarity classes of flat metrics on M which occur as a cusp cross-section of a hyperbolic (n+1)–orbifold is dense in the space of similarity classes of flat metrics on M. The set used for density is precisely the set of those classes which arise i...