Background Cardiac magnetic resonance (CMR) is an acknowledged standard for quantification of left ventricular volumes, but the acceptance of CMR to measure the volume of the right ventricle (RV), including sub-units, such as inlet, outlet, and apical segment has been limited. In patients with Fallot (TOF), the size and function of the right ventricular outflow tract (RVOT) in the course of an ...

Let G be a graph with p vertices and q edges and let = 0,1, 2, , . 2 q A              A vertex labeling   : f V G A  i e a vertex equitable labeling of G if it induces an edge labeling s said to b given by      * =  f uv f u f v  * f such that     1 v a v b   and     * = 1,2,3, , f f f E q  , where   f v a is the ber of verti num ces v with   = f v a for . ...

Consider a robot that is navigating in space represented by graph and wants to know its current location. It can send signal find out how far it from each set of fixed landmarks. We study the problem computing minimum number landmarks required, where they should be placed so always determine The nodes are located called metric basis graph, dimension graph. On other hand, G smallest size ...

For a simplicial subdivison of a region in kn (k algebraically closed) and r ∈ N, there is a reflexive sheaf K on Pn, such that H 0(K(d)) is essentially the space of piecewise polynomial functions on , of degree at most d, which meet with order of smoothness r along common faces. In [9], Elencwajg and Forster give bounds for the vanishing of the higher cohomology of a bundle E on Pn in terms of...

This book begins with foreword by Prof Mandeep S Dhillon, HOD, Deptt of Orthopedics, PGIMER, Chandigarh in which he has rightly portrayed the role of super-specialty field of neurosurgery in the modern world. But along with that he also explains that because this field is new in India, doctors end up being burdened with the load of work because of scarcity of such super-specialists. And not onl...

Given an n-vector p of processing times of jobs, the single machine scheduling polytope C arises as the convex hull of completion times of jobs when these are scheduled without idle time on a single machine. Given a point x ∈ C, Carathéodory’s theorem implies that x can be written as convex combination of at most n vertices of C. We show that this convex combination can be computed from x and p...