The widespread application of echocardiography to the field of congenital heart disease has led to the development of a concept of "echocardiographic discontinuity" for the diagnosis of some conditions. Although this is a valuable sign in differentiating such entities as tetralogy of Fallot, truncus arteriosus and double outlet right ventricle, the reported cases illustrate that the echocardiog...

Aortic-mitral valve discontinuity has previously been described in double outlet right ventricle, endocardial cushion defect, single ventricle, tetralogy of Fallot, and prolapse of the mitral valve. We are reporting two additional examples of aortic-mitral valve discontinuity including 15 cases of gross left ventricular dilatation and a case of acute pneumococcal bacterial endocarditis with a l...

When patients receive an intervention based on whether they score below or above some threshold value on a continuously measured random variable, the intervention will be randomly assigned for patients close to the threshold. the regression discontinuity design exploits this fact to estimate causal treatment effects. in spite of its recent proliferation in economics, the regression discontinuit...

This paper presents a treatment of first–order discontinuities (D1) that arise in discontinuitymeshes. An algorithm is described that, given a planar D1 discontinuity surface in a polyhedral scene, computes the corresponding discontinuity curves on the faces of the scene. A method is described to efficiently update the backprojection across a D1 discontinuity curve. An alternative update method...

We present a study on strong t-continuity and measure of discontinuity on PN spaces. As an application, we prove a fixed point theorem for a discontinuous self mapping on PN spaces by means of measure of discontinuity.

this paper deals with the boundary value problem involving the differential equationbegin{equation*}    ell y:=-y''+qy=lambda y, end{equation*} subject to the standard boundary conditions along with the following discontinuity  conditions at a point $ain (0,pi)$ begin{equation*}    y(a+0)=a_1 y(a-0),quad y'(a+0)=a_1^{-1}y'(a-0)+a_2 y(a-0),end{equation*}where $q(x),  a_1 , a_2$ are  real, $qin l...

We address the 3D volume reconstruction problem from depth adjacent sub-volumes acquired by a confocal laser scanning microscope (CLSM). Our goal is to align the sub-volumes by estimating a set of optimal global transformations that preserve morphological continuity of medical structures, e.g., blood vessels, in the reconstructed 3D volume. We approach the problem by learning morphological char...

A key issue in the creation of error-free tool path for numerically controlled (NC) surface machining is gouging (over-cut> prevention. In the case of solid-based machining, where the creation of tool paths across several surfaces in a single pass is imperative, the major sources for gouging are the tangent discontinuity (C’ discontinuity) and the surface gap (Co discontinuity) occurred in the ...

Abstract. We rigorously prove results on spiky patterns for the Gierer-Meinhardt system [8] with a jump discontinuity in the diffusion coefficient of the inhibitor. Using numerical computations in combination with a Turing-type instability analysis, this system has been investigated by Benson, Maini and Sherratt [1], [3], [11]. Firstly, we show the existence of an interior spike located away fr...