In this paper, we discuss the geometric properties of solution and lower bound estimate of ∆um−1 of the Cauchy problem for a degenerate parabolic equation with periodic source term ut =∆um+ upsint. Our objective is to show that: (1)with continuous variation of time t, the surface ϕ = [u(x,t)]mδq is a complete Riemannian manifold floating in space RN+1and is tangent to the space RN at ∂H0(t); (2...

Implementing Open Source Software (OSS) technology (tools and practices) entails potential for radical organisational transformation of software production. Not going there yet, this paper discusses the local re-negotiation of the term OSS itself in certain case companies. We claim that these processes (1. organisational change, and 2. renegotiation of the term OSS) are intertwined. Renegotiati...

A basic problem that confronts the standard cosmological models is the problem of Initial Singularity characterised by infinite material density, infinite temperature and infinite spacetime curvature. The inevitable existence of such a phase of the universe may be considered to be one of the major drawbacks of Einstein’s field equations. To some extent inflation models ameliorate this. In the p...

Bayesian inference is a vital tool for consistent manipulation of the uncertainty that is present in many military scenarios. However, in some highly complex environments, it is hard to write down an analytic form for the likelihood function that underlies Bayesian inference. Approximate Bayesian computation (ABC) algorithms address this difficulty by enabling one to proceed without analyticall...