Software for Computing Standard Representations

AN ALGORITHM FOR COMPUTING THE REDUCTION MOD p OF 2-DIMENSIONAL CRYSTALLINE REPRESENTATIONS

— We give an algorithm for computing the reduction modulo p of 2-dimensional crystalline representations of Gal(Q p /Qp). This algorithm relies on Fontaine’s theory of (φ,Γ)-modules as well as the theory of Wach modules. It is rather explicit and can be implemented using standard mathematical software.

Classification and properties of acyclic discrete phase-type distributions based on geometric and shifted geometric distributions

Acyclic phase-type distributions form a versatile model, serving as approximations to many probability distributions in various circumstances. They exhibit special properties and characteristics that usually make their applications attractive. Compared to acyclic continuous phase-type (ACPH) distributions, acyclic discrete phase-type (ADPH) distributions and their subclasses (ADPH family) have ...

An Elementary Method for Computing the Kostka Coefficients

A review of methods for resource allocation and operational framework in cloud computing

The issue of management and allocation of resources in cloud computing environments, according to the breadth of scale and modern technology implementation, is a complicated issue. Issues such as: the heterogeneity of resources, resource dependencies to each other, the dynamics of the environment, virtualization, workload diversity as well as a wide range of management objectives of cloud servi...

SoftArchViz: An Automated Approach to Visualizing Software Architectures

This paper presents a programmatic mechanism for visualizing large software architectures using Multi-Dimensional Scaling. We begin with a short survey of standard representations of software architecture used in the industry and then describe how our software visualization technique was applied to Network Appliance Data ONTAP R ©7G (storage server operating system). We show how our visualizati...