This manuscript explores the compact geometries by employing Karmarkar condition with charged anisotropic source of matter distribution. For this purpose, we consider an explicit model indulging grr metric potential obeying condition. Moreover, ansatz time co-efficient following approach Adler [1]. The crucial aspect present investigation is implication Bardeen as outer spacetime [2]. Implement...

Probability boxes (pairs of cumulative distribution functions) are among the most popular models used in imprecise probability theory. In this paper, we provide new efficient tools to construct multivariate pboxes and develop algorithms to draw inferences from them. For this purpose, we formalise and extend the theory of p-boxes using lower previsions. We allow p-boxes to be defined on arbitrar...

e o When errors are clearly visible, the blockiness of some artifacts distinguishes them from th riginal image content, suggesting a way of reducing these artifacts. Presumably, the human viewer k e identifies the artifacts by assuming the image does not have 8-pixel by 8-pixel block features. Bloc dge variance, the sum of squared differences between adjacent block edge pixels, is one simple s ...

The rst part of this paper classi es all purely cubic function elds over a nite eld of characteristic not equal to 3. In the remainder, we describe a method for computing the fundamental unit and regulator of a purely cubic congruence function eld of unit rank 1 and characteristic at least 5. The technique is based on Voronoi's algorithm for generating a chain of successive minima in a multipli...

Shown below is pseudocode for Dijkstra’s algorithm. The input is a directed graph G = (V,E) with nonnegative edge weights wt(u, v) for every edge (u, v) ∈ E, and a distinguished node s, called the source (or start) node. The algorithm computes, for each node u ∈ V , the weight of a shortest path from s to u. (It can be easily modified to compute, for each node u, the predecessor of u in a short...

This work is a tutorial on Shor's factoring algorithm by means of a worked out example. Some basic concepts of Quantum Mechanics and quantum circuits are reviewed. It is intended for non-specialists which have basic knowledge on undergraduate Linear Algebra.

We study the impact of using different priority queues in the performance of Dijkstra’s SSSP algorithm. We consider only general priority queues that can handle any type of keys (integer, floating point, etc.); the only exception is that we use as a benchmark the DIMACS Challenge SSSP code [1] which can handle only integer values for distances. Our experiments were focussed on the following: 1....

(These notes are a slightly modified version of notes from previous offerings of the class scribed by Sanjeev.) Today’s topic is simple but gorgeous: Karger’s min cut algorithm and its extension. It is a simple randomized algorithm for finding the minimum cut in a graph: a subset of vertices S in which the set of edges leaving S, denoted E(S, S) has minimum size among all subsets. You may have ...

Herman’s algorithm is a synchronous randomized protocol for achieving self-stabilization in a token ring consisting of N processes. The interaction of tokens makes the dynamics of the protocol very difficult to analyze. In this paper we study the distribution of the time to stabilization, assuming that there are three tokens in the initial configuration. We show for arbitrary N and for an arbit...